What is the value of -7(x^2-6)+2y when x=2 and y=-6? A. –1 B. 0 C. 1 D. 2

Answers

Answer 1

Answer:

2

Step-by-step explanation:

-7(x^2-6)+2y

Let x = 2 and y = -6

-7( 2^2-6)+2(-6)

Exponents first

-7(4 -6)+2(-6)

Parentheses next

-7( -2)+2(-6)

Multiply

14 -12

Subtract

2

Answer 2

Answer:

D. 2

Step-by-step explanation:

-7(x^2 - 6) + 2y

x = 2

y = 6

Substitute the variables:

-7(2^2 - 6) + 2(-6)

2^2 = 4:

-7(4 - 6) + 2(-6)

4 - 6 = -2:

-7(-2) + 2(-6)

-7 * -2 = 14:

14 + 2(-6)

2 * -6 = -12:

14 +  (-12)

14 + (-12) = 14 - 12:

14 - 12

14 - 12 = 2:

2

26


Related Questions

18 km
12 km
20 km
or
14 km

Answers

Answer:

20 km

Step-by-step explanation:

Circumference is given by

C = pi*d

20 pi = pi *d

Divide  each side by pi

20 =d

I dkabouthtisoneiuisrhihurg

What is the perimeter in terms of x, of the rectangle shown here (x^2+7x-9) (3x^2-2x)

Answers

Given:

Consider the dimensions of the rectangle are [tex](x^2+7x-9)[/tex] and [tex](3x^2-2x)[/tex].

To find:

The perimeter in terms of x, of the rectangle.

Solution:

Let the length of the rectangle be [tex](x^2+7x-9)[/tex] and the width of the rectangle is [tex](3x^2-2x)[/tex] units.

The perimeter of a rectangle is:

[tex]P=2(l+w)[/tex]

Where, l is the length and w is the width of the rectangle.

Substituting [tex]l=(x^2+7x-9)[/tex] and [tex]w=(3x^2-2x)[/tex] in the above formula, we get

[tex]P=2((x^2+7x-9)+(3x^2-2x))[/tex]

[tex]P=2(4x^2+5x-9)[/tex]

[tex]P=2(4x^2)+2(5x)+2(-9)[/tex]

[tex]P=8x^2+10x-18[/tex]

Therefore, the perimeter of the rectangle is [tex]8x^2+10x-18[/tex] units.

Solve the system using substitution. Please write the solution in the form of a coordinate pair ( x, y ) SHOW YOUR
WORK!

15x = 30
y + 3x = 12

GIVING BRAINIEST TO WHOEVER HELPS ME AND GETS IN RIGHT!!!

Answers

X=2 and Y=6 so in coordinate pair the result is (2,6) I hope it helped :). Don’t forget to give me the Brainiest.

Which transformation is not isometric?

Answers

Answer—A is not isometric

A company sold 123 mobile phones for ₹ 8000 each. With the same money, 48 music systems were bought. Find the cost of one music system.

Answers

Answer:

Step-by-step explanation:

123 X 8000 = 984000

984000/48 = 20500(PUT EURO SIGN)

A parabola intersects the x- axis at x=3 and x=9

Answers

Step-by-step explanation:

To find the equation of a parabola we need to have 3 points. The intercept of the X axis is the X intercept. The definition of an intercept is when the other value is equal to zero. (3,0) and (9,0)

There appears to not be enough points to answer your question. we also need a vertex

9. Griffin ordered a pair of sneakers online. He had a $16 credit that he applied
toward the purchase, and then he used a credit card to pay for the rest of the
cost. If the shoes cost $80, how much did Griffin charge to his credit card when
he bought the sneakers?

Plz help

Answers

Answer: 79 more

Step-by-step explanation:

29 because if the diameter

I need help solving these problems

Answers

Answer:

question one:

x = 6.018150231520483

adjacent angle = 7.986355100472928

Step-by-step explanation:

i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations

it automaticly does sin, cos, and tan for you.

help ASAP Please show working​

Answers

Answer:

(a) -1

(b) -2

Step-by-step explanation:

(a) Replace the a's with 1 and the b's with 3 to get 1*3 = 1-3+1 = -1

(b) We already figured out that (1*3) equals -1 so we just need to find -1*2. Using same strategy as part a, replace a and b with -1 and two, respectively. -1*2 = -1-2+1= -2. Hope this helps and sorry if I made a mistake. :)

besties this is 100 points & i'll give brainliest istg i need to know this
Find the unknown values of b and c in the equation y = -x² + bx + c given its vertex is (-7, -5).

Answers

Answer:

[tex] \displaystyle b = - 14[/tex]

[tex] \displaystyle c = - 54[/tex]

Step-by-step explanation:

to figure out b we can consider the following formula:

[tex] \displaystyle \frac{ - b}{2a} = h[/tex]

the form of vertex coordinate given by

[tex] \displaystyle (h,k)[/tex]

so according to the question

[tex] \displaystyle (h,k) = ( - 7, - 5)[/tex]

by order pair we obtain:

[tex] \displaystyle h = - 7, k = - 5[/tex]

now substitute the value of h and a to the formula:

[tex] \displaystyle \frac{ - b}{2(- 1)} = - 7[/tex]

simplify multiplication:

[tex] \displaystyle \frac{ - b}{ - 2} = - 7[/tex]

cross multiplication:

[tex] \displaystyle - b = 14[/tex]

divide both sides by -1:

[tex] \displaystyle b = - 14[/tex]

now we need to figure out C to do so substitute -7 for x and -5 for y which yields:

[tex] \displaystyle - {7}^{2} - 14( - 7) + c = - 5[/tex]

simplify square:

[tex] \displaystyle -49 - 14( - 7) + c = - 5[/tex]

simplify multiplication:

[tex] \displaystyle -49 + 98+ c = - 5[/tex]

simplify addition:

[tex] \displaystyle 49+ c = - 5[/tex]

cancel 49 from both sides:

[tex] \displaystyle c = - 54[/tex]

hence,

b=-14C=-54

___________________________________

Problem:

Find the unknown values of b and c in the equation y = -x² + bx + c given its vertex is (-7, -5).

Let's Solve it!

This is a problem where you want to able to ake use of tue Vertex Form in order to get the values of b and c fir the standard form of the parabola. Vertex (-7,-5) or (h,k) in the standard form. These are the x and y coordinates of the vertex.

Note the standard form is:

[tex]\quad\quad\quad\quad\tt{ a{x}^{2} + bx + c}[/tex]

Since we have the given of:

[tex]\quad\quad\quad\quad\tt{ a \: = - 1}[/tex]

[tex]\quad\quad\quad\quad\tt{ h = - 7}[/tex]

[tex]\quad\quad\quad\quad\tt{ k \: = - 5}[/tex]

Note the vertex form is:

[tex]\quad\quad\quad\quad\tt{y = a(x - h {)}^{2} } + k[/tex]

[tex]\quad\quad\quad\quad\tt{y = - 1(x - ( - 7) {)}^{2} } + ( - 5)[/tex]

[tex]\quad\quad\quad\quad\tt{y = - 1(x + 7 {)}^{2} } - 5[/tex]

[tex]\quad\quad\quad\quad\tt{ \boxed{y = - {x}^{2} - 14x - 54}}[/tex]

Hence, The answer for b and c is:

[tex]\quad\quad\quad\quad\tt{ \boxed{ \boxed{ \color{magenta}{b = - 14}}}}[/tex]

[tex]\quad\quad\quad\quad\tt{ \boxed{ \boxed{ \color{magenta}{c = - 54}}}}[/tex]

Let's confirm it :

You can use x coordinate of the vertex like this,

[tex]\quad\quad\quad\quad\tt{ - 7 = \frac{b}{2(a)} }[/tex]

[tex]\quad\quad\quad\quad\tt{ - 7 = \frac{b}{2(-1)} }[/tex]

[tex]\quad\quad\quad\quad\tt{ - 7 = \frac{b}{-2} }[/tex]

[tex]\quad\quad\quad\quad\tt{ (- 2)( - 7) = - b }[/tex]

[tex]\quad\quad\quad\quad\tt{ \frac{ (- 2)( - 7)}{ - 1} = b }[/tex]

[tex]\quad\quad\quad\quad\tt{ \frac{ 14}{ - 1} = b }[/tex]

[tex]\quad\quad\quad\quad\tt{ \boxed{ - 14 = b }}[/tex]

You can also confirm the y coordinate of the vertex in the standard form by plugging the x coordinate.

[tex]\quad\quad\quad\quad\tt{y = - {(-7)}^{2} - 14(-7) - 54}[/tex]

[tex]\quad\quad\quad\quad\tt{y = - 49 +98 - 54}[/tex]

[tex]\quad\quad\quad\quad\tt{y = - 49 +98 - 54}[/tex]

[tex]\quad\quad\quad\quad\tt{y = 49 - 54}[/tex]

[tex]\quad\quad\quad\quad\tt{ \boxed{y = - 5}}[/tex]

So, the final answer for b and c is:

[tex]\quad\quad\quad\quad\tt\huge{ \boxed{ \boxed{ \color{magenta}{b = - 14}}}}[/tex]

[tex]\quad\quad\quad\quad\tt\huge{ \boxed{ \boxed{ \color{magenta}{c = - 54}}}}[/tex]

___________________________________

#CarryOnLearning

✍︎ C.Rose❀

this is homework. please help with the answer for both 11a and 11b :))

Answers

11a:
3x+5=5x-57
3x-5x=-57-5
-2x=-62
x=31
11b:
2x+2x+4x+150+4x+150=360
12x+300=360
12x=360-300
12x=60
x=5

hope this helped !!

HELP FAST I NEVER SAW THIS BEFORE IN MY LIFE

I'll mark brainliest for the best answer!!

Answers

Answer:

GIRL NO WAY IM LITTERALY TAKING THAT TEST RN AND IM TRYING TO FIGURE OUT THAT SAME QUESTION LOL

Step-by-step explanation:

BUT I THINK ITS -0.5 DONT TAKE MY WORD FOR IT IM JUST ASSUMING ITS THE ANSWER BC ITS THE ONLY ONE THAT MAKES SENSE

Find the sum of this series \displaystyle \log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right)log( 2 1 ​ )+log( 3 2 ​ )+log( 4 3 ​ )+log( 5 4 ​ )+...+log( 99 98 ​ )+log( 100 99 ​ )

Answers

Answer:

[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right) = \log(\frac{1}{100})[/tex]

Step-by-step explanation:

Given

[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right)[/tex]

Required

The sum

Using the laws of logarithm, we have:

[tex]\log(a) + \log(b) = \log(ab)[/tex]

Take the first two terms of the series

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3}) = \log(\frac{1}{2} * \frac{2}{3})[/tex]

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3}) = \log(\frac{1}{3})[/tex]

Include the third term

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) = \log(\frac{1}{3} * \frac{3}{4})[/tex]

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) = \log(\frac{1}{4})[/tex]

Include the fourth term

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) + \log(\frac{4}{5}) = \log(\frac{1}{4} *\frac{4}{5})[/tex]

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) + \log(\frac{4}{5}) = \log(\frac{1}{5})[/tex]

Notice the following pattern

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3}) = \log(\frac{1}{3})[/tex] ---------------- n =2

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) = \log(\frac{1}{4})[/tex] -------------- n = 3

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) + \log(\frac{4}{5}) = \log(\frac{1}{5})[/tex] ----------- n = 4

So the sum of n series is:

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ ............ + \log(\frac{n}{n+1}) = \log(\frac{1}{n+1})[/tex]

So, the sum of the series is:

[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right)[/tex]

[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right) = \log(\frac{1}{99+1})[/tex]

[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right) = \log(\frac{1}{100})[/tex]

Can someone help me? It's urgent and thank you!

Answers

Answer:

B. [tex]\frac{x + 6}{10x}[/tex]

Brian and Hayden go out for dinner and the bill comes to $120.00. Hayden usually tips more than 20% of the bill and Brian usually tips at most 25% of the bill. Given Brian and Hayden's tipping habits, what graph below best represents the range for a tip (d) that the server should expect to see?

Answers

Answer:

There are no graphs

Step-by-step explanation:

"what graph below best represents the range for a tip "

Brian

120 * .2 = 24

24 < d

Hayden

120 * .25 = 30

d ≤ 30

24 < d ≤ 30

a rational number between -2/3 and 1/4 is​

Answers

Answer:

[tex]\frac{-7}{12} , \frac{-6}{12} , \frac{-5}{12},\frac{-4}{12} ,\frac{-3}{12} ,\frac{-2}{12} ,\frac{-1}{12},\frac{1}{12} ,\frac{2}{12}[/tex]

Step-by-step explanation:

Given :

To find rational number between -2/3 and 1/2

Firstly need to equate their denominator

[tex]\frac{-2(4)}{3(4)} =\frac{-8}{12} \\\frac{1(3)}{4(3)} =\frac{3}{12}[/tex]

Now,

Rational number between these two numbers will be :

[tex]\frac{-7}{12} , \frac{-6}{12} , \frac{-5}{12},\frac{-4}{12} ,\frac{-3}{12} ,\frac{-2}{12} ,\frac{-1}{12},\frac{1}{12} ,\frac{2}{12}[/tex]

I am doing a connexus geometry unit test. please send assistance!

Answers

Answer:

x=37

Step-by-step explanation:

50+24=74

74/2=37

Select the correct answer.
In which quadrant are the x-coordinate and the y-coordinate of a point both negative?

A.
quadrant I
B.
quadrant II
C.
quadrant III
D.
quadrant IV

Answers

C is when both are negative

Answer: c

Step-by-step explanation:

use the function below to find F(3).

F(x) = 4(1/3)^x​

Answers

Answer:

4/27

Step-by-step explanation:

F(x) = 4(1/3)^x

Let x =3

F(3) = 4(1/3)^3

Exponents first

F(3) = 4 * 1/27

Then multiply

f(3) = 4/27

Answer:

4/27

Step-by-step explanation:

f(x) = 4(1/3)^x

f(3) = 4(1/3)^3

f(3) = 4(1/27)

f(3) = 4/27

hope that helps

(Help fast plz)Which of these tables represents a linear function

Answers

Answer:

Step-by-step explanation:

3rd one

A mixture of concrete is made up of sand and cement in the ratio of 5:3.How many cubic centimeters of sand is needed to make 160 cubic centimeters of concrete mix?

Answers

Answer: [tex]100\ cm^3[/tex]

Step-by-step explanation:

Given

The ratio of mixture of sand and cement is 5:3

If the total volume of mixture is [tex]160\ cm^3[/tex]

Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.

[tex]\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3[/tex]

Sand [tex]5x=5\times 20=100\ cm^3[/tex]

So, there is [tex]100\ cm^3[/tex] of sand in the mixture

Complete the table to show a proportional relationship,
Write the constant of proportionality, Number of Yoga Classes
Cost (5)
constant of proportionality

Answers

Answer:

Step-by-step explanation:

constant of proportionality : 60/4 = 15

Number : 2

Cost : 15 * 2 = $30

Number 6

Cost = 15 * 6 = $90

Number 8

Cost = 15 * 8 = $120

The diagram shows triangle ABC.
A = 81°
AB = 8.2 cm
BC = 13.5 cm
Calculate the length of AC.​

Answers

Answer:

The length of AC is 12.08 cm.

Step-by-step explanation:

Given:

In triangle ABC, AB = 8.2 cm, C = 13.5 cm and angle A = 81 degrees.

Solution:

https://brainly.com/question/21977218

This is erinna's answer, no need to thank me, thank her instead

Using Law of Sines, we get

Using angle sum property, we get

Now,

Therefore, the length of AC is 12.08 cm.

The length of the side AC of the triangle ABC whose side AB is of 8.2 cm and side BC is of 13.5 cm length with angle A of 81° is 12.1 cm approx.

What is law of cosine?

Let there is triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]

(c is opposite side to angle A)

When one angle and two sides of a triangle are known, and we want to know the length of the remaining third side, then we can use the law of cosines.

We're specified that:

Length of AB = |AB| = c = 8.2 cm|BC| = a = 13.5 cmm∠A = 81°

Let the third side's length = |AC| = b cm (don't mix this notation with the notation of the formula said above. We just used notation such that its the smaller case version of the vertex opposite to that side, for example, opposite to AC lies b).

For using formula, we just need to take care that the angle θ is the angle opposite to the side which is going to be on one side (the notation c^2 in the formula given and here since we know the angle A, so the side opposite to A which is BC will be used in one side of the cosine rule, as shown below).

The side opposite to the angle A is BC, thus, we get:

[tex]|BC|^2 = |AB|^2 + |AC|^2 -2|AB||AC| \cos(m\angle A)\\\\13.5^2 = 8.2^2 + b^2 -2(8.2)b \cos(81^\circ)\\\\b^2 - 2.566 b - 115.01 \approx 0\\\\b \approx \dfrac{2.566 \pm \sqrt{2.566^2 - 4(-115.01)}}{2}\\\\b= 12.0835, -9.5175[/tex]

b represents side length, therefore positive. Thus, we obtained the length of the side |AC| approximately 12.1 cm

Thus, the length of the side AC of the triangle ABC whose side AB is of 8.2 cm and side BC is of 13.5 cm length with angle A of 81° is 12.1 cm approx.

Learn more about law of cosines here:

https://brainly.com/question/17289163

THE PROBABILITY OF A FOOTBALL TEAM WINNING A MATCH IS 0.3 THE PROBABILTITY OF THE SAME FOOTBALL TEAM LOSING IS 0.55 WHAT IS THE PROBABILITY OF THE SAME FOOTBALL TEAM WINNING THE MATCH?

Answers

Answer:

[tex]P(Win) = 0.30[/tex]

Step-by-step explanation:

Given

[tex]P(Win) = 0.30[/tex]

[tex]P(Lose) = 0.55[/tex]

Required

[tex]P(Win)[/tex]

This is already stated in the question as:

[tex]P(Win) = 0.30[/tex]

APQR and ARST are shown.
S
R
R
Р
+
H
440
T
What is m TSR?
mZTSR = [1]

Answers

Answer:

∠ RST = 68°

Step-by-step explanation:

Since RT = ST then the triangle is isosceles with 2 base angles congruent

∠ RST = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°

A furnace was originally priced at $907.07 but went on sale for 33% off. If Omar bought the furnace and paid 9%
sales tax, how much did he pay in total?

PLZ HELP I’LL MAKE YOU A BRAINLEST

Answers

Answer:

662.44 total paid

Step-by-step explanation:

907.07X.33(33% off)=299.33 discount

907.07-299.33=607.74 sales price

607.74+.09=54.70 sales tax

607.74+54.70=662.44 sales price including sales tax

1 point
28. Malcolm is tiling his kitchen wall. The kitchen wall is
rectangular in shape measuring 700cm by 200cm. Each tile
is 50 cm by 50 cm. How many tiles does he need to tile the
kitchen wall? ​

Answers

Answer:

i think its 110

Step-by-step explanation:

hope it helps

A pet store has 115 fish that need to be placed into fish tanks. Each tank can hold 6 fish. How many tanks does the store need for the fish?

Answers

Answer:19

Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank

Help, Help, Help, Help, Help,

Answers

Step-by-step explanation:

answer is in photo above

Answer:

0.25

Step-by-step explanation:

f(1)=(1/4)^1

0.25

Which ordered pair makes the equation true? 2x – 5y = –10
(5, 4)
(2, 5)
(20, 4)
(–10, 4)

Answers

(5,4) simply substitute the values in! they work :) hope it helped
5,4 you just have to substitute the values
Other Questions
Which of these was most likely an effect ofthe opening of the St. Lawrence Seaway?A Manufacturing in Great Lakes citiesdecreased.B The volume of goods shipped on theGreat Lakes decreased.CTrade between Great Lakes cities andEuropean cities increased.The cost of shipping goods betweenGreat Lakes cities increased.D There are 6 kittens in the litter, five kittens are black and 1 is brown, what percent of kittens is black? fill in the blank in spanish?me vas a llamar? -si ___ voy a llamar Write the precipitation reaction for cobalt(II) hydroxide in aqueous solution: Be sure to specify the state of each reactant and product. Balance LCM method H2+Cu2O=CU+H2O pls help me being timed 20 points Which taxes generate the most revenue in Washington? Check all that apply. multiflat taxincome taxpoll taxproperty taxsales tax log 7 (x2 + 11) = log 7 15 An investment opportunity requires a payment of $910 for 12 years, starting a year from today. If your required rate of return is 6.5 percent, what is the value of the investment to you today Help plz..And No links!! I repeat No links!! A. Amphetamines B. Barbiturates C. Heroin D. Hallucinogens E. Alcohol 4. Which of the following statements about the typical pattern of sleep cycles is false? A. If someone has been sleep-deprived, he or she enters REM sleep sooner after falling asleep than he or she otherwise would B. Infants spend more time in REM sleep than do adults. C. Near the end of a good night s sleep, a person spends most of his or her time in Stages NREM-1, NREM-2, and REM. D. The first stage of sleep is NREM-1. E. We most often naturally awaken during NREM-3 sleep. If c is the number of cats, which variable expression represents the phrasebelow?The sum of the number of cats and 15 dogsA. C+15B. C-15C. c. 15D.15 How many minutes is it from 11:50 to 12:18 Matthew lives on a farm he takes care of flock of geese if each goose eats eight ounces of cracked corn each day how many ounces of corn will he need to feed seven geese for two days? Is this graph standard, vertex, or intercept? The sum of two numbers is 106. The bigger number is 22 more than the smaller number. Then what is half of the smaller number?(1 Point)a) 84b) 21c) 42d) 327Rakesh's mother's age is three times the present age of Rakesh. After 5 years their ages when added together, will become 66 years. The equation that represents the above is as follows;(1 Point)a) x + 3x = 66b) x + 3x + 5 = 66c) 4x + 15 = 66d) 4x + 10 = 668Equation 1 is : 2 x - 3 = - 9 and Equation 2 is : x - 7 = 2. The first equation has solution (x = - 3), and the second equation has solution (x = 9) and both these answers are correct for the respective equations. Choose the correct statement from below.(1 Point)a) Since the first equation has a negative solution, the second equation only is a Linear equation, as it has a positive solutionb) Both equations have solutions which are rational numbersc) The first equation is called a Negative Linear Equation as it has a negative solutiond) None of the statements a, b or c are True9Please see the Figure A, and choose the correct statement that matches the figure from the options given below.(1 Point)a) The above figure is a Polygon with 5 sidesb) The above figure is a Concave Polygonc) The above figure is not a Polygond) The above figure is a Regular Pentagon10The sum of measures of the exterior angles of any polygon is (1 Point)a) 180 degreesb) 360 degreesc) ( n 2 ) x 180 degreesd) ( n 2 ) x 360 degrees11In a quadrilateral, if all sides are equal and the diagonals bisect each other at right angles, then the quadrilateral (1 Point)a) Is a Squareb) Is a Rhombusc) Could be a Square, or could be a Rhombus, we need to know more about the length of the diagonalsd) None of the above statements is correct12A rectangular wire frame could be bent and turned into a Parallelogram keeping the same 4 original sides, but the following must be true for this to happen..(1 Point)a) That the diagonals remain equalb) That the diagonals continue to bisect the angles at the vertices equallyc) The lengths of the diagonals changed) The diagonals are now bisecting each other in 4 equal parts13Which statement is True for the following two Figures A and B, given below(1 Point)a) Figure A is a Rhombus and Figure B is a Kiteb) Figure A and B are both Rhombusc) Figure A and B are both Kitesd) Figure A is a Kite and Figure B is a Rhombus14Which statement out of the four options below, is True?(1 Point)a) All Rectangles are Squaresb) All Rhombuses are Parallelogramsc) All Squares are Concave Polygonsd) All Convex Polygons have diagonals outside them15(1 Point)16If 4368 28 = 156, then if the same 4368 is now divided by 0.28, what will be the answer?(1 Point)a) 156b) 15600c) 15.6d) 1.561712.00001 0.600001 is closest to ..(1 Point)a) 0.02b) 2c) 20d) 20018Complete:(1 Point)19The equation : 12 x + 16 = 20 is the same as (1 Point)a) 12 x + 8 = 12b) 12 x = 20 + 16c) 12 x 16 = 20 16d) 12 x 20 = 162020. Find the value of a quarter of the angle QRT which is x if angle PRS is 2x as shown in the figure below. Consider Triangle PRQ and Triangle RST to be equilateral triangles of different sizes.(1 Point)21Which number will give us a quotient of - 4, if we divide - 24 by ..(1 Point)a) 4b) - 6c) - 4d) 622If 2 ( 3 2 x ) = 3 ( x 5 ) then x = .(1 Point)a) 3b) 3c) 6d) 623The teacher asked the class to divide a given number by 24- Rohit divided the number by 24 and got the correct answer 20- Mohit divided the number by 6 and got an answer which he again divided by 4 and obtained the final answer- Rakesh divided the number by 2.4 and then divided the answer again by 10- Allen divided the number by 2.4 and then multiplied the answer obtained by 10 Now choose the best solution from the below options.(1 Point)a) Only Rohit got the correct answerb) Both Rohit and Mohit got the correct answerc) Rohit, Mohit and Rakesh all got the correct answerd) Rohit, Mohit and Allen all got the correct answer24Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour ...................(1 Point)a) Abhay has walked more than Binu, as he walked on the boundary of the bigger circleb) Binu has walked more than Abhay, as he has walked more circles than Abhayc) Both of them have covered the same distanced) With the information given above, we cannot say who walked more25Which sign will you put in between [ 120 .. ( 3 / 11 ) ], so that the answer or result is the highest number(1 Point)a) +b) c) xd) Shelton Company has the following account balances at year-end: Accounts receivable $140,000 Allowance for doubtful accounts 7,200 Sales discounts 4,800 Shelton should report accounts receivable at a net amount of:__________a. $120,000. b. $ 12,800.c. $1 08,000. d. $115,200 What percent of 8 is 1,280? A 16096 O B. 16,000% O O O C. 1,600% D. 1.6% does anyone know how to solve this Does this graph represent a function? Why or why not?10008NJ2-10 -8 6 4-2,2 488 10-8--10+O A. No, because it is not a straight line.O B. Yes, because it is a curved line. C. No, because it fails the vertical line test.D. Yes, because it passes the vertical line test. There are 78 square meters And 13 meters I need to find the width