This is a sketch of the curve with equation y = f(x).
The vertex of the curve is at (2, -3)
V
X
(2, -3)
Write down the coordinates of the vertex of the curve with equation
a) f(x + 7)
b) f(-x)
I’m

Answer:

i woyld say 1/3 and 2/5

Step-by-step explanation:

they aer bigger parts then the other

Answer:

if you find both areas and compare them with a common denominator youll see that 8/15 and 1/6 is greater .

Answer:

amy, since the middle term is further up the graph

Step-by-step explanation:

median is the middle term, amy's middle term is further

Answer:

Area = (8 + 2x)² mi²

Step-by-step explanation:

Length of the side of a park = 8 mi

Width of the road around the park = x mi

Length of one side of the park with the road = (8 + 2x) mi

Area of the park with road = (side)²

                                            = (8 + 2x)²

Therefore, combined area of the park and road is (8 + 2x)² square miles.

Omitted / Incomplete Question : Judy has read 4 Less than three times as many as Jason

Answer:Jason has read  7 mystery novels and Judy has read  17 mystery novels

Step-by-step explanation:

Total number of mystery books read by  Jason and Judy =24

Let Number of mystery books read by Jason=x

and  Number of mystery books read by Judy= 3x-4

So that the total number of book read by both of them will be expressed as

x +(3x-4) =24

x +3x-4 =24

4x=24+4

4x=28

x=28/4=7

There fore  Jason has read  7 mystery novels

and Judy = 3x-4 = 3 X 7- 4 =21-4=17mystery novels

Answer:

R = 10 cm

Step-by-step explanation:

The area of a spherical shape is given by :

[tex]A=4\pi r^2[/tex]

Where

r is the radius of the sphere

ATQ,

One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble.

The radius of each small bubble is 5 cm

Using the given condition,

[tex]4\pi R^2=4\times (4\pi r^2)\\\\R^2=4r^2\\\\R=\sqrt{4r^2} \\\\R=2r\\\\R=2\times 5\\\\R=10\ cm[/tex]

So, the radius of the large bubble is equal to 10 cm.

Answer:

20cm

Step-by-step explanation:

5cm+5cm+5cm+5cm=20cm

Answer:

∠A = 116°

∠B = 116°

∠C = 64°

Step-by-step explanation:

since it is an isosceles trapezoid, ∠C = ∠D = 64°

∠A would be same side interior to ∠D so it would be 180° - 64° = 116°

∠B = ∠A = 116°

The  measure of each angle in the isosceles trapezoid are; ∠A = 116°

∠B = 116° and ∠C = 64°

Due to the figure being isosceles trapezoid, it is symmetric.

Isosceles trapezoid has its two rest sides(which aren't necessary parallel) are of equal length.

Since it is an isosceles trapezoid, ∠C = ∠D = 64°

Here we can use the  symmetric property of the isosceles trapezoid and the fact that a triangle has sum of its angles as 180°

We have ∠A that would be same side interior to ∠D

Thus, it would be 180° - 64° = 116°

∠B = ∠A = 116°

Learn more about isosceles trapezoid here:

brainly.com/question/4084820

#SPJ2

Answer:

x < 7

Step-by-step explanation:

0.5 + 2x < 14.5

2x < 14.5 - 0.5

2x < 14

x < 14 ÷ 2

x < 7

( To solve this is basically solving an equation. It's just that that instead of an equal sign, a greater than, less than, greater than or equal to or a less than or equal to sign is present. )

Answer:

153.9 ft²

Step-by-step explanation:

Given that:

Radius of circular lawn = 7 feets

To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn

Area of a circle, A = πr²

A = π * 7 * 7

A = 153.93804

A = 153.9 ft²

Answer:

like terms have the same VARIABLES with the same POWER

:)

Answer:

Variables; Powers

Step-by-step explanation:

Like terms have the same variables with the same powers. Eg:-

[tex]3 {x}^{2} \: and \: 9 {x}^{2} [/tex]

These are like terms as they both have the same variables and powers

Answer:

Corm and Bulb- Differences. Bulbs are structurally short stems with fleshy leaves or leaf bases. Corms are rounded, underground storage organs consisting of a swollen stem base covered with scale leaves. Bulbs are modified leaves that store nutrients.

Step-by-step explanation:

Answer:

a = 16 hope this helps

Step-by-step explanation:

Answer:

your answers will be

A》3

B》-4

Step-by-step explanation:

hope it helps you

have a great day!!!

Answer:

1.6; 2.4

Step-by-step explanation:

five or more round up

4 or less leave as is

Answer:

W = 32

Step-by-step explanation:

lol.

the answer is 4m

and 2 plus 2 is 4

i don't know if I'm right

Answer:

a = 7

Step-by-step explanation:

Let's solve your equation step-by-step.

3/5(a+5.25)=7.35

Step 1: Simplify both sides of the equation.

3/5(a+5.25)=7.35

(3/5)(a)+(35)(5.25)=7.35 (Distribute)

3/5a+3.15=7.35

Step 2: Subtract 3.15 from both sides.

3/5a+3.15−3.15=7.35−3.15

3/5a=21/5

Step 3: Multiply both sides by 5/3.

(5/3)*(3/5a)=(5/3)*(21/5)

a=7

Answer:

The equal amount is 525 .

Step-by-step explanation:

Given that,

Eric and his two sister shared amount of money in ratio2:7 respectively.

Amount with Eric = 300

It means,

2x = 300

x = 150

So,

7x = 7(150)

= 1050

As the remaining amount shared equally among the sister. So, the equal amount is 525 .

Answer:

trueeee :) that is my answer

Answer:

x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x+5)^2=21

Step 1: Simplify both sides of the equation.

4x^2+40x+100=21

Step 2: Subtract 21 from both sides.

4x^2+40x+100−21 =21−21 4x^2+40x+79=0

For this equation: a=4, b=40, c=79

4x^2+40x+79=0

Step 3: Use quadratic formula with a=4, b=40, c=79.

x= −b±√ b^2−4ac/2ax

= −(40)+√ (40)^2−4(4)(79)/2(4)

x = 40^2±√ 336/8

x= −5+1/2 √ 21 or x = −5+ − 1/2√ 21

Answer: x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

( I hope this was helpful) >;D

Answer:

Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Step-by-step explanation:

To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?

Solution -

We know that, formula for finding the Present vale is given by

Present value = Future value / (1 + r)ⁿ

where r is the rate of interest

and n is Number of periods

Now,

Here in the question, we have

r = 12% = 12/100 = 0.12

n = 5

Also, Given that, we have received Rs X at the end of each year

So,

Present Value = [tex]\frac{X}{(1 + 0.12)^{1} } + \frac{X}{(1 + 0.12)^{2} } + \frac{X}{(1 + 0.12)^{3} } + \frac{X}{(1 + 0.12)^{4} } + \frac{X}{(1 + 0.12)^{5} }[/tex]

                        = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

⇒Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Answer:

y = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{6}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = 6[tex]\sqrt{2}[/tex]

Answer:

That would be 56. :D

Nice drawing sir/ma'am/person. :D

Step-by-step explanation:

Answer:

the answer is y=4x+3

Step-by-step explanation:

Answer:

pi is an irrational number and its value

is 22/7 in fraction and 3.14 in decimal

and 22/7 is rational number

hope it helps

Answer:

Pi is the ratio of a circle's circumference to its diameter.

The first 10 digits are 3.1415926535

Step-by-step explanation: