solve each given equation​

Solve Each Given Equation

Answers

Answer 1
I think that they are
30

Infinite

No solution
Answer 2

Answer:

x = 30

Infinite Solutions

No Solutions

Step-by-step explanation:

First, combine like terms

Then move all variable to one side and isolate them by undoing the action being done to them

Example 1:

6x + 4x - 6 = 24 + 9x

10x - 6 = 24 + 9x

-9x                 -9x

x - 6 = 24

  +6     +6

x = 30

Example 2:

25 - 4x = 15 - 3x + 10 -x

25 - 4x = 25 - 4x

Since they are the same on both sides, this equation has Infinite Solutions

Example 3:

4x + 8 = 2x + 7 + 2x -20

4x + 8 = 4x - 13

-4x        -4x

8 = -13

This statement is untrue, therefore this equation has No Solution


Related Questions

How many crores are there in 20 million?​

Answers

Answer:

2

Step-by-step explanation:

Find the value of x.

Answers

Answer:

6

Step-by-step explanation:

We can find the value x using Euclidian theorem

x^2 = 3*12

x^2 = 36

x = 6


Match each equation with its solution.

Answers

Answer:

1. x = -2 , 3

2. x = - 1, 5

3. -1, 6/5

4. - 0/3, 1.3

Step-by-step explanation:

1.

[tex]ln(x+5)=ln(x-1)+ln(x+1)\\\\x+ 5 = (x-1)(x+1)\\\\x + 5 = x^2 - 1\\\\x^2 - x - 6 = 0 \\\\x^2 - 3 x + 2 x - 6 =0 \\\\x(x-3)+2(x-3)=0\\\\x = -2 and 3[/tex]

2.

[tex]e^{x^{2}}=e^{4x +5}\\\\x^2 - 4x - 5 = 0 \\\\x^2 - 5x + x - 5 = 0 \\\\x (x-5)+1 (x-5)=0\\\\x = -1 and 5[/tex]

3.

[tex]log_{4}(5x^2 +2)=log_{4}(x +8)\\\\5x^2 - x - 6 = 0 \\\\5 x^2 - 6 x + 5x- 6 = 0 \\\\5 x (x + 1)-6(x+1)=0\\\\x = -1 and \frac{6}{5}[/tex]

4.

[tex]log(x-1)+log 5x = 2\\\\5 x (x-1) =2 \\\\5x^2 - 5x -2 = 0 \\\\x = \frac{5\pm\sqrt{25+40}}{10}\\\\x = \frac{5\pm 8}{10}\\\\x = 1.3, - 0.3[/tex]

The millage rate is the amount of property tax per $1000 of the taxable value of a home. For a certain county the millage rate is 29 mil. A city within the county also imposes a flat fee of $101 per home. a. Write a function representing the total amount of property tax T(x) for a home with a taxable value of x thousand dollars. b. Write an equation for T-1(x). c. What does the inverse function represent in the context of this problem

Answers

Answer:

(a) [tex]T(x) = 101 + 0.029 x[/tex]

(b) [tex]T^{-1}(x) = \frac{1000(x - 101)}{29}[/tex]

(c) See explanation

Step-by-step explanation:

[tex]T(x) = 172 + \frac{29}{1000}x[/tex]

Given

[tex]Flat = 101[/tex]

[tex]Rate = 29\ per\ 1000[/tex]

Solving (a): The function for total amount

This is calculated as:

[tex]T(x) = Flat + Rate * x[/tex]

Where:

[tex]x \to[/tex] taxable value

So, we have:

[tex]T(x) = 101 + \frac{29}{1000} * x[/tex]

[tex]T(x) = 101 + 0.029 * x[/tex]

[tex]T(x) = 101 + 0.029 x[/tex]

Solving (b): The inverse function

[tex]T(x) = 101 + 0.029 x[/tex]

Rewrite as:

[tex]y = 101 + 0.029x[/tex]

Swap the variables

[tex]x = 101 + 0.029y[/tex]

Make y the subject

[tex]0.029y = x - 101[/tex]

Divide by 0.029

[tex]y = \frac{x - 101}{0.029}[/tex]

Multiply  by 1000/1000

[tex]y = \frac{1000(x - 101)}{29}[/tex]

Replace y with the inverse function

[tex]T^{-1}(x) = \frac{1000(x - 101)}{29}[/tex]

Solving (c): Interpret (b)

The inverse function, in this case; is the taxable value calculated from the amount of property tax

In a class test, (+2) marks were given for every correct answer and (–1) mark was
deducted for every incorrect answer. Rashmi answered all the questions and scored 30
marks. She gave 20 correct answers. Jashpal also answered a few questions and scored
–10 marks. He gave 5 correct answers. How many questions did Rashmi and Jashpal
attempt incorrectly?

Answers

Answer:

Rashmi attempted 10 questions incorrectly while Jashpal attempted 20 questions incorrectly

Step-by-step explanation:

Marks awarded for each correct answers = +2

Marks deducted each incorrect answer = -1

The number of questions Rashmi answered = All the question

Rashmi's score = 30

The correct answers Rashmi gave = 20

The number of questions Jashpal answered = A few questions

Jaspal's score = -10 marks

The number of correct questions Jashpal answered = 5

Let x represent the number of incorrect questions, for Rashmi, we have;

20×2 + x × (-1) = 30

x = 20×2 - 30 = 10

The number of questions Rasmi attempted incorrectly, x = 10

The number of questions Jashpal attempted incorrectly is given as follows;

5×2 + x × (-1) = -10

∴ 10 - x = -10

x = 10 + 10 = 20

The number of questions Jashpal attempted incorrectly, x = 20.

The sets A and L are given below.
A = (a, b, e}
L={c, k,j}
Find the intersection of A and L.
Find the union of A and L.
Write your answer using notation (in roster form)

Answers

Answer:

A n L = null (0)

A U L = a,b,e,c,k,j

Find BD , given that line AB is the angle bisector of

Answers

Answer:

BD = 10

Step-by-step explanation:

THEY ARE EQUAL

BECAUSE LINE AB IS THE ANGLE BISECTOR

How many solutions does it have? Pls help

Answers

Answer:

2 solutions

i hope this will help you

what is the slope of a line perpendicular to y=-(7)/(4)x

Answers

Answer:  4/7

This is because the original line has slope -7/4. We flip the fraction and the sign, ie take the negative reciprocal, to get the perpendicular slope.

Flipping the fraction goes from -7/4 to -4/7. Then it flips to positive to get 4/7

Notice that multiplying the original and perpendicular slopes together gets us -1

(-7/4)*(4/7) = -1

This applies to any pair of perpendicular lines as long as neither line is vertical and neither is horizontal.

Answer:

[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

Given

y = - [tex]\frac{7}{4}[/tex] x ( in the form y = mx , where m is the slope )

slope m = - [tex]\frac{7}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{7}{4} }[/tex] = [tex]\frac{4}{7}[/tex]

Explain two ways that 3-Dimensional and 2-Dimensional objects are connected.

Answers

the face of a three dimensional is a two dimensional. three dimensional objects are made up of two dimensional objects

What rays are part of line BE?

Answers

Answer:

B. ray AB and ray AE

Step-by-step explanation:

Line BE is connected at three points, B, A, and E.

The rays that are part of line BE as shown in the diagram run across these three points. Thus, ray AB connects to Ray AE at point A, to form line BE.

Ray AB and ray AE are therefore parts of line BE.

please answer the question below! first to answer correctly, I will mark as brainliest.

Answers

The probability of not winning would be :

1 - probability of winning

This is written as:

1 - n/n+3

Now to simplify as a single fraction rewrite as:

N+3/n+3 - n/n+3

Simplify to get : 3/n+3

Find the solution to the system of equation -x + y = 3 and x - 2y = 5.

Answers

Answer:

Step-by-step explanation:

[tex]\displaystyle\ \large \boldsymbol{} +\left \{ {{-x+y=3} \atop { \ \ x-2y=5}} \right. => \\\\\\x \!\!\!\!\diagup-x\!\!\!\!\diagup-2y+y=5+3\\\\-y=8\\\\ y=-8\ ; \ x=-11[/tex]

YOULL BE SO AWESOME IF YOU ANSWERRRRRR PLSSS

Answers

Answer:

It is the first option: The sum of 4 tens and 9 tens is 13 tens, which is regrouped as 1 hundred and 3 tens.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

just logic

half past 9:00p.m. what is half past of 9:00p.m.​

Answers

Answer:

The answer is 9:30 pm :D.

13. Calculate the standard deviation of the set of data to two decimal places. Refer to the previous problems.
{1,2,4,4,5,6,6,}
A. 1.77
B. 0.14
C. 7
D. 3.14
E. 22

Answers

Answer:

A: 1.77

Step-by-step explanation:

(4x²y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)
Find the difference of polynomials ?

Answers

Answer:

11x^2y^3 - 4xy^2

Step-by-step explanation:

(4x^2y^3 - 2xy^2 - 2y) - (-7x^2y^3 + 6xy^2 - 2y)

Combine like terms

4x^2y^3 - -7x^2y^3 = 11x^2y^3
Two negative signs together makes addition!

Combine like terms

2xy^2 - 6xy^2 = -4xy^2

Combine like terms

-2y - 2y = 0
We don’t have to include the zero

Now add 11x^2y^3 with -4xy^2 together

11x^2y^3 - 4xy^2

Therefore, the answer is: 11x^2y^3 - 4xy^2

Write the equation for a parabola with a focus at (-3,-5)(−3,−5)left parenthesis, minus, 3, comma, minus, 5, right parenthesis and a directrix at x=-7x=−7x, equals, minus, 7.

Answers

Answer:

(y + 5)² = -16(x + 5)

Step-by-step explanation:

We are told the focus is at (-3, -5)

Directrix is at x = -7

This is a horizontal parabola and thus the general equation is;

(y - k)² = -4p(x - h)

Where;

(h, x) is the coordinate of the vertex.

The axis where the point where the axis of symmetry meets the directrix is at; (-7, -5) since directrix is at x = -7

Thus, coordinates of vertex is;

(-7 + (-3))/2, (-5 + (-5))/2

> (-5, -5)

Thus, equation is;

(y - (-5))² = -4p(x - (-5))

(y + 5)² = -4p(x + 5)

Where p is the distance from vertex to directrix. Thus;

p = -(-7 - (-3))

p = -(-7 + 3)

p = 4

Thus;

(y + 5)² = -4(4)(x + 5)

(y + 5)² = -16(x + 5)

Answer:

(y + 5)² = -16(x + 5)

Step-by-step explanation:

The two dot plots below show the heights of some sixth graders and some seventh graders: The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 1.7. Approximately how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders

Answers

Answer:

The number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4

Step-by-step explanation:

From the question, the mean absolute deviation (MAD) of the sixth graders = 1.2 and that of the seventh graders = 1.7

The variability in the heights of the sixth graders = 1.2

The variability in the heights of the seventh graders = 1.7

To calculate how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders, we will divide the variability of the seventh graders by the variability of the sixth graders

That is, 1.7/ 1.2 = 1.4167 ≅ 1.4

Hence, the number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4

pls help its timed no fake answers i cant afford to fail

Answers

Answer:

It's B, I tried using mathaway and that's the closest to the answer I got. Try it. I always use mathaway for any math problems, use that for now on if you're stuck

Step-by-step explanation:

evaluate and solve: y + 3 = –y + 9

Answers

The value of y is 3.

Answer:

Solution given;

: y + 3 = –y + 9

add +y on both term

y+y+3=-y+y+9

subtract both side by 3

2y+3-3=9-3

2y=6

divide both side by 2

2y/2=6/2

y=3

Answer:

y = 3

Step-by-step explanation:

y + 3 = –y + 9

Add y to each side

y+y + 3 = –y +y+ 9

2y +3 = 9

Subtract 3 from each side

2y+3-3 = 9-3

2y = 6

Divide by 2

2y/2 = 6/2

y = 3

PLEASE HELP!!!


The distance d of a particle moving in a straight line is given by d(t) = 2t^3 + 5t – 2, where t is given in seconds and d is measured in meters.



Find the velocity of the particle for t = 7 seconds.


A) 152 m/s


B) 47 m/s


C) 733 m/s


D) 299 m/s

Answers

Answer:

The derivative of the position function gives the velocity function

 

2 t^3 + 5 t -2    derivative   =   6 t^2 + 5

what is 11/12 divide 1/3
no simplify
please help i need to pass summer school

Answers

Answer:

2.75

Step-by-step explanation:

(11/12) / (1/3) = 2.75

Answer:

the answer is: 11/4

I only need help with the top one

Answers

Answer:

[tex]x^{2} - 3x - 28[/tex]

Step-by-step explanation:

Step 1:  Foil out the expression

[tex](x + 4)(x - 7)[/tex]

[tex](x * x) + (x * -7) + (4 * x) + (4 * -7)[/tex]

[tex](x^{2}) + (-7x) + (4x) + (-28)[/tex]

[tex]x^{2} - 3x - 28[/tex]

Answer:  [tex]x^{2} - 3x - 28[/tex]

The answer to the top question is x²-3x-28

A salesman, after deducting his commission of
6%, remits $2491 to his company. The gross
amount of the sale amounted to
(A)$2809
(B) $2650
(C) $2640
(D) $2341.54

Answers

Answer:

(C) $2640

Step-by-step explanation:

2491 x 0.06 = 149.46

2491 + 149.46 = 2640.46

the ratio of blue to red counters is 5:2 the ratio of red the green counters is 8:3 there are 30 green counters. how many blue?

PLS HELP​

Answers

Answer:

3:1

Step-by-step explanation:

Answer:

200 blue

Step-by-step explanation:

8:3 = 80:30 (red to green)

blue: red

5 :2

*40

200:80

Using a deck of 52 playing cards, what are the odds in favor of drawing a Jack or 10?​

Answers

odds against drawing a Jack are 48:4
odds in favor of drawing a Jack are: 4:48

Help Please Now!!!!
Find The Surface Area Of The Prism

Answers

Answer:

190cm²

Step-by-step explanation:

there is 2 types of sides on this. the top and bottom are the same, the front, back, left, and right are the same.

We first calculate the surface area of the top and bottom.

5x5=25

now we multiply that by 2 because the top and bottom are the same

25x2=50

now we look at the remaining 4 sides. the sides on these are 7 and 5 so we do

7×5=35

since we have 4 sides, we multiply the answer by 4

4×35=140

we add the sums together

140+50=190cm²

Answer:

190 cm^2

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

2 (lw + hl + hw)

Use the formula with the given dimensions of the prism:

2 (5 x 5) + (7 x 5) + (7 x 5)

= 2 (25 + 35 + 35)

= 2 (95)

= 190

So the SA of the rectangular prism is 190 cm^2

plsssss helpp in the next 2 min gives 10 points

Answers

Answer:

The answer is 144,5

Step-by-step explanation:

144,5/170×100 =85%

Answer:

200 students in total

Step-by-step explanation:

Mr.Cruz is the director of an after-school program. He says that 170 students, or 85% of the students in his program, went on to attend college. A parent wants to know the total number of students in the program.

?/T = 85%

Where T = Total

85% = 170 students

Set-up the dimensions like this!

part/whole = part/whole

170/T = 85%/100

Multiply 170 by 100

170 • 100 = 17000

Then divided by 85

17000 divided by 85 = 200





A cab company changes a 3$ flat rate addition to $1.50 per mile what is the y Intercept?

Answers

The y intercept would be the minimum amount charged, which would be the flat rate of $3

Answer: the y-intercept is 3

The y- intercept is (0,1.50)
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