Find the discount of a jacket priced at $50 with 30% off.

Answer:

-x²+3x-8

Step-by-step explanation:

Given polynomials are :

f(x) = (x+2)²

p(x) = 7x−4

We need to find a simplified polynomial when f(x) is subtracted from p(x) i.e.

p(x) - f(x) = 7x−4 - (x+2)²

We know that, (a+b)² = a²+b²+2ab

So,

p(x) - f(x) = 7x−4 -(x²+2²+2(x)(2))

= 7x−4 -(x²+4+4x)

= 7x−4-x²-4-4x

= -x²+3x-8

Hence, the result will be -x²+3x-8.

Answer:

The width of a rectangle is: w = x+3

Step-by-step explanation:

Given

The length of rectangle = l = 4x

The area of rectangle = A = 4x² + 12x

To determine

The width of rectangle = w = ?

We know that the formula of the area of the rectangle is

[tex]A = wl[/tex]

substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle

4x² + 12x = w×4x

w = [4x² + 12x] / [4x]

Factor 4x² + 12x:   4x(x+3)

w = [ 4x(x+3) ] /  [4x]

w = x+3

Therefore, the width of a rectangle is: w = x+3

Answer:

i think its either that or (-5,-5)

- 2x and 70 are equal, because they are vertical angles.

- 110 and 3x + 5 are equal, becasue they are vertical angles.

- so, the answer would be A.

-- this is because vertical angles are not supplementary so would not be equal to 180°

Answer: y = 1

Step-by-step explanation: Lets solve for y, step by step!

6 = 2(y + 2)

6 = ( 2 x y + 2 x 2)

6 = 2y + 4

2y + 4 = 6

2y + 4 - 4 = 6 - 4

2y = 2

y = 1

Answer:

21a+77b

Step-by-step explanation:

7x3=21

7x11=77

The required reference angle of angle 192 is 12. OPtion C is correct.

Given that,
An angle of 192°
Reference angle to be determined.

The angle can be defined as the one line inclined over another line.
Angel over angle is of 360° and angle over line is 180°

The function in mathematics to operate and diagnose the function to make the function simple or more coherent is called simplifying and the process is called simplification.

Since in the question, An angle is given of 192° its corresponding and relatable angle is to be determined.

Here, a standard measure of an angle is 180, So let the reference angle b x, for reference angle the angle must be more or less than 180. So,

x = 192 - 180
x = 12

Thus, the required reference angle of angle 192 is 12. Option C is correct.

Learn more about Angles here:
https://brainly.com/question/13954458

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Answer:

Part A: 8b -12c -16

Part B: 4(2b - 3c -4)

Part C: 36

Step-by-step explanation:

Part A:

5b + 3c - 20 + 3b - 15c + 4

= 8b -12c -16

Part B:

Factorising 8b -12c -16

= 4(2b - 3c -4)

Part C:

= 4[2(2)-3(-3)-4)]

= 4[4+9-4]

= 4[9]

= 36

Answer:

FC = 27

QC = 18

Step-by-step explanation:

The centroid divides the median in which it stands into a ratio of 1:2

The longer length being twice of the shorter

So in this case, what we have is that ;

FC = FQ + QC

with QC twice FQ

so QC = 2(9) = 18

while;

FC = 18 + 9 = 27

x/9>12

x>12×9

x>108

This is your answer

Answer:

97.94 is 83% of 118

Step-by-step explanation:

Let the missing number be x

97.94=83% of x

I.e, 97.94=83/100 × x

97.94=83x/100

Cross multipy 97.94/1=83x/100

We have, 97.94 × 100 = 83x × 1

9794=83x

Divide both sides by 83 to make x the subject of the formula.

9794/83=83x/83

118=x

Answer:

Step-by-step explanation

Answer:

x+3x=2+2

4x=4

x=1

Answer:

x = 1

Step-by-step explanation:

x - 2 = -3x + 2

you can do any one of these 4 steps first and still get the same answer:

a) subtract x from each side

b) add 2 to each side

c) add 3x to each side

d) subtract 2 from each side

after doing one of the above you will have a two-step equation and must undo addition or subtraction before undoing multiplication or division

Answer:

An equation relating x and y is:

y = 3/4x - 5.5

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given the points

(2, -4), (x, y), A(6, -1), and B(10, 2)

Taking any two points let say A(6, -1), and B(10, 2) to determine the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(6,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:2\right)[/tex]

[tex]m=\frac{2-\left(-1\right)}{10-6}[/tex]

Refine

[tex]m=\frac{3}{4}[/tex]

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = -5.5

Thus, the y-intercept b = -5.5

Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation

y = mx+b

y = 3/4x + (-5.5)

y = 3/4x - 5.5

Therefore, an equation relating x and y is:

y = 3/4x - 5.5

Answer:

no

Step-by-step explanation:

yes

Answer:

c = 40 + 0.79m

Step-by-step explanation:

The base cost is $40.

So we have:

c = 40

Then, since an additional $0.79 is charged for every mile driven, we add:

+ 0.79m

So then our equation is:

c = 40 + 0.79m

where c = total cost

and m = number of miles driven

Answer:

350

Step-by-step explanation:

7 x 10 to the 7th power is 70000000 and 2x 10 to the 5th power is 200000, if you divide them yo get 350.

Answer:

the factor is an increasing value of 17/332 or the power of pointed answers of interest of 3.4% which makes it aroujd 2 but doesnt matter because its the factor and not issued investment

Step-by-step explanation:

Answer:

It's 28 touchdowns

Step-by-step explanation:

Answer:

28 Touchdowns

Step-by-step explanation:

1/4 of 80 is 20

40% of 80 is 32

20+32=52

80-52=28

Answer:

$28

Step-by-step explanation:

9 tho cars is $14 and 9x2 is 18 so you would do 14x2 which is 28

Answer:

Step-by-step explanation:

Step-by-step explanation:

5x² + kx - 3 = 0 has a root x = 1.

=> 5(1)² + (1)k - 3 = 0

=> 5 + k - 3 = 0

=> k = -2.

Therefore we have 5x² - 2x - 3 = 0.

=> (x - 1)(5x + 3) = 0

=> x = 1 or x = -3/5.

Hence the other root is -3/5.

Answer:

Step-by-step explanation:

As given that

Volume of jug=1 liter=1000ml  

also volume of one glass=200ml

and we poured out 4 glasses so total volume of 4 glasses will be,

4 glasses volume = 4*200ml =800ml

Step-by-step explanation:

ml to litres = divide by 1000

200/1000 = 0.2×4= 0.8ml

Answer:

the answer is 15 I just took the assessment

Answer:

You have 3 + 2 + 2 which is the same as 7 on the other side.

Step-by-step explanation:

3 + 2 + 2 is 7

Answer:

x=2

Step-by-step explanation:

3+x+x=7

2x=4

x=2

Answer:

Step-by-step explanation:

for these type of problems:

65/100=0.65 this represents 1%

13/0.65=20

20% of 65 is 13

Answer:

sin(2*36.86989765) and get .96 or 24/25

7/25

Step-by-step explanation:

Start by solving for P

sinP=3/5

take the arcsin or sin^-1 and get

p=36.86989765

Then multiply by 2 and take the sin and get

sin(2*36.86989765) and get .96 or 24/25

Then take cos(2*36.86989765)=.28 or 7/25

Answer:

Steps below

Step-by-step explanation:

sin P = 3/5

cos p = √1 - sin² P = 4/5

sin 2P = 2 * sin P * cos P = 2 * 3/5 * 4/5 = 24/25

cos 2P = cos² P - sin² P = 16/25 - 9/25 = 7/25

Answer:

615.44 m²

Step-by-step explanation:

3.14(14)²= 615.44 m²

Answer:

153.9 m²

Step-by-step explanation:

A = πr2 Use the formula.

A = π(7)2 Substitute. Use 7 for r.

A ≈ 3.14 × 72 Substitute. Use 3.14 for π.

A ≈ 3.14 × 49 Evaluate the power.

A ≈ 153.9 Multiply.

The area of the circle is about 153.9 m².

Answer:

Step-by-step explanation:

we will use first the distributive property and multiply

45+ 5a<110

subtract 45 from both sides

5a<110-45

5a<65 we divide by 5

a<13