He paid a deposit of £120 and made 30 monthly payments of £12.
How much was the total cost?

x^2 - 4x + 3 = 0

Factor the left side.

What two numbers when multiplied yield 3 but when added yield the middle coefficient -4?

How about -1 times -3?

Yes, (-1)(-3) is 3 but when added yield -4.

(x - 3)(x - 1) = 0

Set each factor to 0 and solve for x.

x - 3 = 0

x = 3

x - 1 = 0

x = 1

The word root is just another word for solution or the zero of a polynomial.

Answer: x = 1 or x = 3 are the roots.

Answer:

The answer would be 27

Step-by-step explanation:

You need to multiply 9 to both sides. Please mark me brainliest.

Answer:

For every 2 apples, there are 6 oranges

Step-by-step explanation:

I got it on khan so trust me

(P. S. could u give me brainliest?)

it's B because the input is put together in only one output.

Answer:

B

Step-by-step explanation:

A function's x should not repeat, but the y can !

Input=x

Output=y

Answer:

slope = 6x

Step-by-step explanation:

the formula to find slope between 2 points is "m = (y2 - y1)/(x2-x1)", or "m = rise/run". so when you plug in the numbers, you get "m = (12 - 6)/(2 - 1)", which gives you "m = 6/1", which is just 6x.

Answer:

Slope = 6

Step-by-step explanation:

From the graph we get:

(x1, y1) = (1, 6) and

(x2, y2) = (2, 12)

Slope = (y2 - y1) / (x2 - x1)

= (12 - 6) / (2 - 1)

= 6 / 1

= 6

Answer:

52cm

Step-by-step explanation:

6^2 = 36

4^2 = 16

16+36= 52

Answer:

39° = m∠A

51° = m∠B

Step-by-step explanation:

Complementary angles have a sum of their measures = 90

Let x = m∠B

then x + 12 = ∠A

m∠A + m∠B = 90

x + 12 + x = 90

2x + 12 = 90

2x = 78

x = 39° = m∠A

x + 12 = 39 + 12 = 51° = m∠B

The measure of ∠A is 39°.

The measure of ∠B is 51°.

Here,

The measure of ∠A is 12° greater than the measure of ∠B.

The two angles are complementary.

We have to find the measure of each angle.

What is Complementary angle?

Complementary angles have a sum of their measures is 90°.

Now,

The measure of ∠A is 12° greater than the measure of ∠B.

Let  m∠B = x

Then, ∠A =  x + 12

The two angles are complementary.

Hence,

m∠A + m∠B = 90

x + 12 + x = 90

2x + 12 = 90

2x = 78

x = 39°

And, x + 12 = 39 + 12 = 51°

Hence, The m∠A is 39° and m∠B is 51°.

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Answer:

x=30 is the answer no hate if I'm wrong :)

Step-by-step explanation:

The sum of angles in a triangle is 180 so we add them all and we get x=30.

Then find the measure of each angle by substitution.

Complete Question

The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?

Answer:

Center Z score = 4.5

The score is unusual

Step-by-step explanation:

The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?

The formula for z score is:

z = (x-μ)/σ, where

x is the raw score = 6.9feet

μ is the population mean = 6feet

σ is the population standard deviation = 0.2 feet

Hence:

Z = 6.9 - 6/0.2

Z = 0.9/0.2

Z = 4.5

Yes this score is unusual

Answer:

a≈9.19m

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Answer:

I’F’ = 21

Step-by-step explanation:

To find the length of I’F’

We perform the dilation on IF using the given dilation factor

All we have to do here is to multiply the length of IF by the dilation factor

We have this as ;

28 * 3/4 = 21

Answer:

(d) 78√3

hope it is right answer for it !!

Answer:

1824

Step-by-step explanation:

48 x 38 =1824

Answer:

3rd choice

Step-by-step explanation:

The answer is the 3rd choice.

x cannot be 3 and 5 at the same time.

x = 3

x = 5

Subtract the first equation from the second equation.

x - x = 5 - 3

0 = 2

Since 0 = 2 is a false statement, there is no solution.

Answer: 3rd choice

9514 1404 393

Answer:

  3

Step-by-step explanation:

The average rate of change is the slope of the line between the points at the ends of the interval: (1, -2) and (3, 4). That is given by the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -(-2))/(3 -1) = 6/2

  m = 3

The average rate of change on the interval is 3.

Answer:

28" x 35"

Step-by-step explanation:

Based on the ratio we see that for every 1 inch in the blueprint there are a total of 14 inches in the real-life model of the doghouse. Therefore, in order to find the actual dimensions of the real-life doghouse we simply need to multiply the individual length and width dimensions of the blueprint by 14. Since the real-life model is 14 times bigger according to the ratio.

2 * 14 = 28

2.5 * 14 = 35

Finally, we can see that the real-life doghouse has a the following dimensions 28" x 35"

Answer:

Expansion

Contraction

Expansion

Contraction

Step-by-step explanation:

The correct type of dilation for given scale factors are 1) contraction, 2) contraction, 3) expansion 4) contraction

Dilation is a type of transformation in geometry, in which the original figure changes its scales, either reduce or enlarge.

Given are scale factors,

Scale factor symbolized by k,

We know that, when k > 1, the figure expands or enlarge.

When k < 1, the figure reduces or contract.

And when k = 1, the figure is congruent to the dilation.

1) -5 = (contraction)

1 > -5, therefore, figure is contraction.

2) -1/4 = (contraction)

1 > -1/4, therefore, figure is contraction.

3) 3.5 = (expanding)

1 < 3.5, therefore, figure is expanding.

4) 6/7 = (contraction)

6/7 = 0.8571 < 1, therefore, figure is (contraction)

Hence,  -5 = (contraction),  -1/4 = (contraction),  3.5 = (expanding) and 6/7 = (contraction)

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Answer:

There is no value of x to fit this requirement.

Step-by-step explanation:

The 2 perimeters in terms of x are:

4(x + 3) for the square and

2(x+1) + 2(x +4)  for the rectangle

and these need to be equal so

we equate these 2 and solve for x:

4(x + 3) = 2(x+1) + 2(x +4)

4x + 12 = 2x + 2 + 2x + 8

4x + 12 = 4x + 10

4x -  4x = 10 - 12

0 = -2   which is of course absurd so there is no solution to this equation.

Answer:

(x+3)•4=(x+4)•2+(x+1)•2

Step-by-step explanation:

4x+12=2x+8+2x+2

4x-2x-2x=-12+8+2

0=-2

this expression is indeterminate.

Answer:

-4

Step-by-step explanation:

24 = -6x

-4 = x

............

Answer:

x = -4

Step-by-step explanation:

30 = - 6x + 6

- 6x = 30 - 6

- 6x = 24

- x = 24 / 6

- x = 4

x = - 4

Answer:

So, the longest toy car length is [tex]2\frac{7}{8}inches[/tex]

Step-by-step explanation:

Given - Aiden has two toy cars that measure two and one fourth inches,

            three that measure two three eight inches, one that measures two

            and seven eights inches, one that measures 2 and one eights

            inches, and one that measures two and three fourths inches.

To find - How long is Aiden's longest toy car.

Proof -

Measure of 1st car - 2 inches

Measure of 2nd car - [tex]\frac{1}{4} inches[/tex] = 0.25 inches

Measure of 3rd car - [tex]2\frac{3}{8} inches[/tex] = 2.375 inches

Measure of 4th car - [tex]2\frac{7}{8}inches[/tex] = 2.875 inches

Measure of 5th car - [tex]2\frac{1}{8}inches[/tex] = 2.125 inches

Measure of 6th car - [tex]2\frac{3}{4}inches[/tex] = 2.75 inches

So, the longest toy car length is [tex]2\frac{7}{8}inches[/tex] (2.875 inches )

Answer:

2

Step-by-step explanation:

Answer:

last option

the correct answer is

- (- 7 / - 8)

Answer:

14. Answer : 3² . 3³ . 3¹ . 3⁴

Answer:

14. Answer : 3² . 3³ . 3¹ . 3⁴

Step-by-step explanation:

because I just know

Answer:

6

Step-by-step explanation:

ℎ 4 6

[tex]24 \div 4 = 6[/tex]