A car dealer offers a discount of 15% off the normal price of a car for cash.
Emma pays £6120 cash for a car.
Calculate the normal price of the car.

Answer:

-9x + 72

Step-by-step explanation:

1. -9(x-8)

2. distribute the 9. --> -9x + 72

Answer:

Step-by-step explanation:

One point can be the y-intercept. We can see that the y-intercept is (0,-3). -3 is the value of y when x = 0. The next point can be when x = 2. If we plug that in the equation, we get the point (2,-6).

Plotting these two points will graph the equation.

The graph is given below.

Some of the coordinates on the graph are (0, -3, (1, -4.5), and (2, -6).

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = (-3/2)x - 3

The coordinates from the given equation are:

When x = 0,

y = - 3

(0, -3)

When x = 1,

y = -3/2  - 3 = (-3 - 6)/2 = -9/2 = -4.5

(1, -4.5)

When x = 2,

y = -3 - 3 = -6

(2, -6)

Now,

The graph of the equation is given below.

Thus,

The graph is given below.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

Answer:

The median is 5.5

Answer:

The answer is 6x² - 21x.

Step-by-step explanation:

You have to substitute the expressions inro the formula :

[tex]A = length \times width[/tex]

[tex]let \: l = 2x - 7,w = 3x[/tex]

[tex]A = (2x - 7) \times 3x[/tex]

[tex]A = 3x(2x - 7)[/tex]

[tex]A = 6 {x}^{2} - 21x[/tex]

The area of the rectangular garden is 6x² - 21x.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know, The area of a rectangle is (length×width).

Given, The rectangular garden has a length of (2x - 7) and a width of 3x.

Therefore, The area of the garden is,

= (2x - 7)×3x.

= 6x² - 21x.

= x(6x - 21).

learn more about rectangles here :

https://brainly.com/question/28993977

#SPJ2

Answer:

the number of seconds to reach the height is 3 seconds

Step-by-step explanation:

The computation of the seconds that reach the height is as follows;

Given that

h = -16t^2 + 96t + 48

here

H = 192 feet

So,

192 = -16t^2 + 96t + 48

-16t^2 + 96t - 144 = 0

Divide by -16

t^2 - 6t + 9 = 0

t^2 - 3t - 3t + 9

t(t - 3) - 3(t - 3)

t = 3 seconds

Hence, the number of seconds to reach the height is 3 seconds

Answer:

Below:

Step-by-step explanation:

Given:

Line QR≅Line SR

Line PQ≅Line PS

Reflexive Property:

Line RP≅Line RP

SSS Theorem:

ΔPQR≅ΔPSR

Answer:

1. 5%

2. 37.5% decrease

Answer:

Step-by-step explanation:

Answer:

it's the one with 15,18,20,21

Step-by-step explanation:

Cause itt does not have a constant rate it has 15 +3=18, 18+2= 20 so it's not constant

Answer:

40x-24y

Step-by-step explanation:

how u need help, just do

8 times 5x

then 8 times -3y

Answer:

the answer to 3 is the first one, 40x-24y

Answer:

_____________Y= -2X-10 __________

Answer:

y= -2/1x + 10

Answer:

4x + 6 feet

Step-by-step explanation:

The deck is the shape of a rectangle

Hence, the perimeter of a rectangle is:

P = 2L + 2W

Where

L = Length = x feet

The width of the deck was 3 feet longer than the length.

W = Width = 3 + x feet

Hence:

Perimeter = 2(x ) + 2(3 + x)

Perimeter = 2x + 6 + 2x

Perimeter = 4x + 6 feet

Hence, the expression for the Perimeter of the deck is given as:

4x + 6 feet

Answer:

(-4,5) is located on the 2nd quadrant

Answer:

(-4, 5)

Step-by-step explanation:

Quadrant II is at the top left. So, point (-4, 5) is located in Quadrant II.

Answer:

y  =  − 2 x  +  5

Step-by-step explanation:

Try this

Answer:

y = −2x+5

Step-by-step explanation:

lmk if you need to see the work shown

9514 1404 393

Answer:

   -135/14

Step-by-step explanation:

There are an infinite number of rational numbers between any pair of numbers you name. These two number have the decimal values ...

  -67/7 = -9 4/7 = -9.571428... (repeating)

  -78/8 = -9 3/4 = -9.75

So, numbers like -9.6 = -48/5, or -9.7 = -97/10 are rational numbers that lie in the range you specified.

If you like, you can convert these numbers to ones with a common denominator (56).

 -67/7 = -536/56

 -78/8 = -546/56

These limits suggest several possible rational numbers with 56 as a denominator: -540/56 = -135/14, for example.

Answer:

x = -9 Its B

Step-by-step explanation:

Because it can go both ways either + or -

Answer:

d

Step-by-step explanation:

b/c |-9|+10=19  |9|+10=19   |0|+10=10

Each angle  = 60 o Explanation: The two alternate interior angles provided are: ( 2 x + 10 ) o  and, ( 3 x − 15 ) o A pair of alternate interior angles as per property ,have equal values. ( 2 x + 10 ) o = ( 3 x − 15 ) o ( 10 + 15 ) o = 3 x − 2 x 25 o = x So, angle 1:  ( 2 x + 10 ) o = 2 × 25 + 10 = 60 o  angle 2:  ( 3 x − 15 ) o = 3 × 25 − 15 = 60 o  

Answer:

1. 2m^2-2n^2

Step-by-step explanation:

1. (m-n)(m^2+mn+n^2)

m^2=m

n^2=n

=(m-n)(m+mn+n)=(m-n)(2m2n)

Multiple

=2m^2-2n^2

Answer:

$7.22 per foot squared

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

We need the unit rate here. The best way to do this is to write a proportion.

Let x = the $ for 1 ft.

130/18 = x/1

130 = 18x

Divide by 18

x = $7.22

Now, we check to make sure we are correct.

130/18 = 7.22/1

130 = 130 ✅

Answer:60 degrees

Step-by-step explanation:

Your other angle is 120 - a straight line has angles must add up to 180. 180-120=60 degrees

Answer:

The volume is 1539.38

Step-by-step explanation:

Answer:

384.7 cubic inches

Step-by-step explanation:

formula to find Volume of a Cylinder:  

V = π · r² · h

7 is the diameter, so r = 3.5

V = π (3.5)² · 10

V = π (12.25)(10)

V = π · 122.5

V ≈ 384.7 in³

Answer:

Options A and B are polynomial of the fourth degree

Step-by-step explanation:

In this problem, option

A. 3x2y + 5x3y + 6y4

Is a Polynomial of the fourth degree because of the 6y⁴ term which is the highest degree

Also the option

B. 6y4 + 5x3 + 1 has a 6y⁴ term which indicates that the polynomial is a fourth degree polynomial

What is the degree of a polynomial?

In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer

Answer:

[tex]-21 < 109[/tex]

Step-by-step explanation:

Given

[tex]Savings = \$109[/tex]

[tex]Checking = -\$21[/tex]

Required

Represent as an inequality

On a number line -21 comes before 109 (from left to right)

This means that -21 is smaller/lesser than 109.

So, the inequality that compares the two account values is:

[tex]-21 < 109[/tex]

Answer:

Here's the proof

Step-by-step explanation:

tan(47°)/cot(43°)

=tan(90°-47°)/cot(43°)

=cot(43°)/cot(43°)

=1 (proven)

Answer:

Step-by-step explanation

Loll

Answer:

pretty sure it would be C

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is :

Answer:

down below

Step-by-step explanation:

you need to find the greatest common multiple

sorry, i am really tired rn and can't solve it

but maybe one of the dogs becomes anorexic and then they will never weigh the same?

Answer:

333333324.442

Step-by-step explanation:

A poodle puppy weighs 1.5 kg when it is born and gains 0.04 kg each day.

A golden retriever puppy weighs 1.2 kg when it is born and gains 0.1 kg each day.

How many days will it take for the two puppies to weigh the same amount

Answer: It number 4

Step-by-step explanation:

Answer:

380 ft squared

Step-by-step explanation:

20 times 25 = 500 ft squared

but since there is air

12 times 10 = 120 ft squared

500 - 120= 380 ft squared