3. Find the products using suitable identity:
a) (t –2)(t –2) b) (3y –2z) (3y + 2z) c) 105 × 98v

Answers

Answer 1

Answer:

a) t²- 4x + 4

b) 9y² - 4z

c) 10290v

Step-by-step explanation:

a+b) use identity (ax+b)(ax+c) = ax² + (b+c)x + bc

c) a × bx = abx


Related Questions

What is the solution for z?
24=z/0.6?

Answers

Answer:

[tex]z=14.4[/tex]

Step-by-step explanation:

One is given the following equation:

[tex]24=\frac{z}{0.6}[/tex]

Use inverse operations to solve this equation. Multiply both sides of the equation by (0.6) to undo the division of (0.6).

[tex]24=\frac{z}{0.6}[/tex]

[tex](0.6)(24)=z[/tex]

Simplify,

[tex](0.6)(24)=z[/tex]

[tex]z=14.4[/tex]

please help me with this problem

Answers

Answer:

Step-by-step explanation:

I'm not sure but i think your right

A plumber gave an estimate for the renovation of a kitchen. Her hourly rate is $55 per hour and the parts for the renovation will cost $234.
If her total estimate is $509.00, how long does she expect the job to take?
hours

a.6 hours
b.7 hours
c.4 hours
d.5 hours

Answers

Answer:

12 houra

Step-by-step explanation:

404-80=27x

 

324=27x

x=324/27

x=12 hours.

The job is expected to take 5 hours, Option d.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given problem,

Cost for parts = $234

Total estimate = $509.00

Amount left from total estimate after spending for parts = $( 509 - 234 )

                                                                                             = $275

Hourly rate for renovation = $55

Total hours = [tex]\frac{275}{55}[/tex] hours

                   = 5 hours.

Hence, we can conclude that she with $275, 5 hours of job can be afforded.

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The velocity of a particle moving along a straight line is given by v(t)=6t2+4t−5 cm/sec at time t seconds with initial position s(0)=3 cm. What is the position of the particle at t=2 seconds, in cm?

Answers

Answer:

s(2) = 17 cm

Step-by-step explanation:

We are told that the velocity function is;

v(t) = 6t² + 4t − 5 cm/sec

Integral of velocity gives distance.

Thus;

s(t) = ∫v(t) = ∫6t² + 4t − 5

s(t) = 2t³ + 2t² - 5t + c

We are told that s(0)=3 cm

Thus;

s(0) = 2(0)³ + 2(0)² - 5(0) + c = 3

Thus; c = 3

Thus;

s(t) = 2t³ + 2t² - 5t + 3

At t = 2 secs

s(2) = 2(2)³ + 2(2)² - 5(2) + 3

s(2) = 17 cm

Find the y-intercept of the following equation. Simplify your answer.
y = -10x -3/7

Answers

Answer: (0, -3/7)

Step-by-step explanation:

The Y-intercept would be the value of y when x is at 0, which is when the Y axis is intercepted. -3/7 is the starting position of the function when the the X = 0.

The total number of cupcakes soldduring 5 days was 2087. The number of cupcakes sold by the shop on Thursday was 3 times the cupcakes sold on Monday. How many cupcakes were sold on Thursday?

Answers

Answer:

1252

Step-by-step explanation:

We're assuming that the same amount of cupcakes were sold each day.

2087/5 = 417.4

417.4 x 3 = 1252.2

Since we can't sell fractions of a cupcake, 1252 were sold on Thursday.

Read is solving the quadratic equation 0 equals X over two minus 2X -3 using the quadratic formula which shows the correct substitution of the values ABC into the quadratic formula quadratic formula X equals negative B+

Answers

Answer:

[tex]x = \frac{-(-2) \± \sqrt{(-2)^2 - 4*1*-3}}{2*1}[/tex]

Step-by-step explanation:

Given

[tex]0 = x^2 - 2x -3[/tex]

Required

The correct quadratic formula for the above

A quadratic equation is represented as:

[tex]ax^2 + bx + c = 0[/tex]

And the formula is:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

So, we have:

[tex]0 = x^2 - 2x -3[/tex]

Rewrite as:

[tex]x^2 - 2x - 3 = 0[/tex]

By comparison:

[tex]a= 1; b = -2; c = -3[/tex]

So, we have:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \frac{-(-2) \± \sqrt{(-2)^2 - 4*1*-3}}{2*1}[/tex]

12. PLEASE HELP ME
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?

A. (–10, 2)

B. (2, –10)

C. (–5, 23)

D. (5, –23)

Answers

Answer:

I think b no. is the correct answer

Answer:

D. (5, –23)

Step-by-step explanation:

The vertex is in essence the turning point of the parabola y = x² − 10x + 2

the x coordinate of the turning point =  

                                                        =  

                                                        =  5

when x = 5, y = (5)² - 10(5) + 2

                     = -23

Thus coordinate or vertex is ( 5, -23)

5 right 23 down

Monica took a survey of her classmates' hair and eye color. The results are in the table below.

Answers

0.14 would be correct

Nghiệm của bất phương trình | 2x - 3| - 1 <0

Answers

Answer:

x = 1 và 2       x= 1 and 2

Step-by-step explanation:

Đầu tiên trừ đi 1 để được 2x-3 nhỏ hơn -1 sau đó bạn lập phương trình bằng 2x-3 = -1 và 2x-3 = 1 để nhận được kết quả cuối cùng là 1 và 2 do đó x = 1 và 2

First subtract 1 to get 2x-3 is less then -1 then you let the equation equal 2x-3=-1 and 2x-3=1 to get a final answer of 1 and 2 therefore x=1 and 2

Find the nth term of each of the sequences.
(a) 16, 19, 22, 25, 28, ...
(b) 1,3,9,27,81,...

Answers

Answer:

a) 16, 19, 22, 25, 28, 31, 34, 37, 40

b) 1, 3, 9, 27, 81, 243, 729, 2187

Explanation:

a) Add 3 on every number.

b) Multiply every number by 3.

Rewrite
4/10 : 1/25 as a unit rate.

A: 10:1
B: 25:4
C: 2:125
D: 100:1

Answers

Answer:

4/10 : 1/25

4/10 / 1/25 = 4/10 x 25/1 = 100/10 = 10.

10 can also be written as 10:1, so A is correct.

Hope this helps!

The function (1) describes the height, in feet, of an object at time, in seconds, when it is launched upward from the ground at an initial speed of 112 feet per second.

a. Find the domain.
b. What does the domain mean in this context?

Answers

Answer:

see below

Step-by-step explanation:

The domain is the values that the input takes

The values go from 0 to 7

0≤x≤7

This is the time from the initial launch until the object hits the ground

Find the center and foci of the ellipse: 9x2 + 16y² + 126x + 96y + 441 = 0

Answers

Center : ( –7 , –3 )Focus 1: (–7 + √7 , –3 )Focus 2: ( –7 –√7 , –3 )

[tex] \frac{(x + 7)^{2} }{16} + \frac{(y + 3) ^{2} }{9} = 1 \\ \frac{(x - h)^{2} }{ {a}^{2} } + \frac{(y - k)^{2} }{ {b}^{2} } = 1[/tex]

a= 4 , b= 3 , k = – 3 , h = –7

The center: ( h , k ) —> ( –7 , –3 )

[tex]c = \sqrt{ {a}^{2} - {b}^{2} } = \sqrt{ {4}^{2} - {3}^{2} } \\ = \sqrt{16 - 9} = \sqrt{7} [/tex]C = √7

Focus 1: ( h + c , k ) —> ( –7 + √ 7 , –3 )

Focus 2: ( h – c , k ) —> ( –7 –√7 , –3 )

I hope I helped you^_^

What is the range of the given data set? OA) 30 OB) 32 OC) 37 OD) 40​

Answers

Answer:

Range = maximum number - minimum number

maximum number = 99minimum number = 62

Range = 99 - 62 = 37

Answer:

37

Step-by-step explanation:

The range is the difference between the highest number and the smallest number.

Looking at the stem and leaf plot we can identify the largest and smallest number

Largest number: 99

Smallest number: 62

If range = largest number - smallest number then range = 99 - 62 = 37

TRIGONOMETRY
Could someone please help me with 5.2 please...it would really help alot:)​

Answers

sin(x+y) - sin(x-y) - 1 = cos(2x)

sin(90) - sin(x-y) - 1 = cos(2x)

1 - sin(x-(90-x)) - 1 = cos(2x)

-sin(2x-90) = cos(2x)

-1*(sin(2x)cos(90) - cos(2x)sin(90)) = cos(2x)

-1*(sin(2x)*0 - cos(2x)*1) = cos(2x)

-1*(0 - cos(2x)) = cos(2x)

-1*(-cos(2x)) = cos(2x)

cos(2x) = cos(2x)

This confirms the identity is true.

Notice that throughout this proof, I only changed the left hand side.

On the 5th line, I used the identity sin(A-B) = sin(A)cos(B)-cos(A)sin(B).

A sports scientist has made the formula below that gives the energy in joules provided,
e
per
ml
,
a
consumed of a power drink.



e=a×0.2



Substitute in
660
for the amount consumed,
a
, in an energy shake and give the energy provided,
e
.

Answers

Gotta space it better but I think it’s .35


What value of x is in the solution set of -2(3x + 2) >-8x + 6

Answers

Answer:

x >5

Step-by-step explanation:

-2(3x + 2) >-8x + 6

Distribute

-6x-4 > -8x+6

Add 8x to each side

-6x-4+8x > -8x+8x+6

2x-4 > 6

Add 4 to each side

2x-4+4 > 6+4

2x> 10

Divide by 2

2x/2 >10/2

x >5

Step-by-step:

-2(3x+2)>-8x+6. divided by 2,-3x-2>-4x+3. the solution set of -2(3x+3)>-8x+6 is {x/x>5}

Answer:

6

Will Mark Brainlest Help Please !!!!!​

Answers

Answer:

a = - 2, b = 3

Step-by-step explanation:

B + C

= [tex]\left[\begin{array}{ccc}6&4\\2&6\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}1&-1\\2a&-6\\\end{array}\right][/tex] ( add corresponding elements )

= [tex]\left[\begin{array}{ccc}7&3\\2+2a&0\\\end{array}\right][/tex]

Then

[tex]\left[\begin{array}{ccc}5&b\\a&0\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}7&3\\2+2a&0\\\end{array}\right][/tex]

Equating corresponding elements gives

b = 3

a = 2 + 2a ( subtract 2a from both sides )

- a = 2 ( multiply both sides by - 1 )

a = - 2

Find a and b. PLS HURRY!

Answers

Answer:

[tex]a \: and \: b = \frac{5}{ \sqrt{2} } [/tex]

Step-by-step explanation:

[tex] \sin(45) = \frac{a}{5} \\ \frac{1}{ \sqrt{2} } = \frac{a}{5} \\ a = \frac{5}{ \sqrt{2} } \\ \\ \\ \\ \sin(45) = \frac{b}{5} \\ b = \frac{5}{ \sqrt{2} } [/tex]

I hope I helped you^_^

Find the equation of a line perpendicular to 8x - 2y = 4 and passes through the point (4, 3).

Answers

y = -2x-3

Lines that are perpendicular have slopes that are negative reciprocals of each other. Meaning, if a line has slope  , then a line perpendicular to this has slope . That means the slope of our perpendicular line is

The equation of the line that is perpendicular to 8x - 2y = 4 and passes through the point (4, 3) is y = (-1/4)x + 4.

To find the equation of a line that is perpendicular to the line 8x - 2y = 4 and passes through the point (4, 3), we can use the fact that the slopes of perpendicular lines are negative reciprocals of each other.

First, let's rewrite the given equation in slope-intercept form (y = mx + b), where m represents the slope:

8x - 2y = 4

-2y = -8x + 4

Divide both sides by -2:

y = 4x - 2

The slope of the given line is 4.

The slope of a line perpendicular to this line would be the negative reciprocal of 4, which is -1/4.

Now, we have the slope (-1/4) and a point (4, 3). We can use the point-slope form of a linear equation:

y - y₁ = m(x - x₁)

Substituting the values, we have:

y - 3 = (-1/4)(x - 4)

Expanding and simplifying, we get:

y - 3 = (-1/4)x + 1

Adding 3 to both sides, we have:

y = (-1/4)x + 4

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x3 + (y +z) factorize​

Answers

I think you wrote the question wrong this question is not factorable

Unit Rates
Assignment Active
Completing a Rate Table
Miles
Hours
Margie can walk 3.5 miles in 1 hour.
Find the values of a, b, c, and that complete the table
showing this relationship
3.5
a=
7
v
a
5
3
d=
14
e
5

Answers

Answer:

its c

Step-by-step explanation:

i did it on ed

Answer:

Heres the answer!

Step-by-step explanation:

can someone help me with this?

Answers

Answer:

The answer is 660

Step-by-step explanation:

30×2200÷100= 660

Answer:

660

Step-by-step explanation:

to know 30%

2200÷10×3=660

pls help i need to finish this asap !!

Answers

Answer:

b = -3

Step-by-step explanation:

Using the graph, when x=2

y = -3

ntroduction to Functions
Assignment Active
Creating a Function from a Mapping
The mapping shows a relationship between input and
output values.
Input
Output
Which ordered pair could be removed to make this
relation a function?
O (-5,0)
0 (-1, -3)
O (4, -2)
O (6,-1)

Answers

Answer:

To be a function, each input must only have one output. In this case, input 4 has two outputs, so (4 , -2) can be removed for it to be a function.

Let me know if you have any other questions!

The ordered pair (4,2) could be removed to make the given relation a function.

What is the relation?

A relation is a function if for every input (x-value) there is exactly one output (y-value).

If there are two or more ordered pairs with the same x-value but different y-values, then the relation is not a function. In this case, one of those ordered pairs would need to be removed in order to make it a function.

As per the question, the relation was given as {(-5,0), (2, -3), (-1, -3), (4, -2), (4, -2), (6,-1)}, the ordered pair (4,-2) would need to be removed because there are two outputs (-2 and 2) for the input of 4.

Thus, removing (4,2) would result in the function.

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x = 3

x = 5

x = 0

x = 2

Answers

Answer:

x=2 is incorrect

Step-by-step explanation:

Y(2)=(3/4)*x^2=(3/4)*4=3

In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears. A group of students performs the experiment 21 times, with these results.

6 4 5 6 5 6 4 6 2 4 3 4 5 7 5 8 7 5 3 5 5

Construct a dotplot with these data and then identify the dotplot you created.

Answers

Answer:

The average, mode, and median of the results are 5, meaning that half of the time the quarter will land on heads.

Step-by-step explanation:

The required dot plot shows the result of the experiment performed by flipping a quarter 21 times.


In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears. A group of students performs the experiment 21 times, with these results. 6 4 5 6 5 6 4 6 2 4 3 4 5 7 5 8 7 5 3 5 5.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

What is Statistic?

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
The dot plot has been made, for the number of outcomes and their frequencies. The dot plot gives the info about the mean mode and median.

Thus, the required a dot plot showing the result of the experiment performed by flipping a quarter 21 times.

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What is the explicit formula for this sequence?
-9, - 3, 3, 9, 15, ...

Answers

Answer:

-15+6d

Step-by-step explanation:

The common difference of the sequence is -3+9=6

The formula is an=a+(n-1)d, an=-9+(n-1)*6=-15+6d

In right triangle ABC, AB = 3 and AC = 9. What is the measure of angle B to the nearest degree?

Answers

Answer:

90 degrees

Step-by-step explanation:

see image

make x A

y B

z C

AB=3 (given)

AC=9 (given)

measure of angel B or y, is 90

if

x= A

y= C

z= B

then the hypotenuse would be shorter than one of the legs

3<9

so B has to be the right angle (90 degrees)

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