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Answer:

f(x) = (x + 4)^2 - 5

Step-by-step explanation:

Parent function: f(x) = x^2

To show this in a way that may look more familiar, f(x) = 1(x - 0)^2 + 0

Vertex form: f(x) = a(x - h)^2 + k

We know a = 1, because the slope is the same as the parent function.

Vertex: (h,k)

We can see that the vertex of the graph is (-4, -5)

So h = -4 and k = -5

Now all we need to do is plug the variables into our equation.

f(x) = a(x - h)^2 + k

f(x) = 1(x + 4)^2 - 5

f(x) = (x + 4)^2 - 5

Answer:

21-3=18

Hope This Helps!!!

Answer:

18

Step-by-step explanation:

7(3)= 21

15/5=3

21-3=18

Answer:

[tex]1 \times 50 \times 30 = 150 {cm}^{3} [/tex]

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Answer:

150,000 cm^3

Step-by-step explanation:

100*50*30 = 150,000

Answer:

(i) - rectangular prism

(Ii) - triangular prism

(iii) - square pyramid

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Subsitute the number if large vehicles

5x + 10(50) = 800

5x + 500 = 800

5x =300

X =60

Answer:

60

Step-by-step explanation:

Substitute y = 50 into the equation and solve for x

5x + 10(50) = 800 , that is

5x + 500 = 800 ( subtract 500 from both sides )

5x = 300 ( divide both sides by 5 )

x = 60

That is 60 small vehicles were washed in total

Answer:

x ≈ 15.66

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )

x × sin50° = 12 ( divide both sides by sin50° )

x = [tex]\frac{12}{sin50}[/tex] ≈ 15.66 ( to the nearest hundredth )

(1) False. [tex]\{0\}\in\mathscr{U}[/tex] is saying "the set containing only 0 (that is, {0}) is an element of [tex]\mathscr U[/tex]", but this is not the case. [tex]\mathscr U[/tex] is the set containing only 0 and 1.

(2) True. [tex]\{0\}\subset\mathscr{U}[/tex] means "the set {0} is a subset of [tex]\mathscr{U}[/tex]". 0 itself is an element of [tex]\mathscr U[/tex], so {0} is indeed a subset of [tex]\mathscr U[/tex].

(3) True. 0 is clearly an element of [tex]\mathscr U[/tex].

(4) False. This statement says "0 is a subset of [tex]\mathscr U[/tex]" but 0 itself is not a set, it's a number.

Answer:

a

Step-by-step explanation:

thats not how u find the lengths

Answer:

25 units

Step-by-step explanation:

TR = TQ

2x + 10 = 18

2x = 8

x = 4

RS = QS

RS = 9x - 11

RS = 9(4) - 11

RS = 25

i belive the answer is c

Answer:

Y= –4X+3

Step-by-step explanation:

Aight, check this out. the X and Ys are gonna form a linear equation.

Y=aX+b

3=a(0)+b===> b=3, so there you got for b

–1=a(1)+3===> a= –4

and the final touch

Y= –4X+3

Answer:

You would pour 50.3 in^3 of juice

Step-by-step explanation:

The term ‘cubic’ indicates volume

so in the context of this question, we are to calculate the volume of the cylinder, then we divide by 2

Mathematically, we have the volume of the cylinder as;

V = pi * r^2 * h

r = 2 inch

h = 8 inch

Since we are dividing the volume by 2 (exactly half full)

V = 1/2 * pi * 2^2 * 8

V = 50.3 in^3

Answer:

Emily will earn $33,020 in one year.

Step-by-step explanation:

635×52=33,020

Answer:

(2, 0) and (6, 0)

Step-by-step explanation:

[tex]y = x^2 - 8 x + 12[/tex]

To get the x intersept put y = 0

[tex]x^2 - 8 x + 12 = 0 \\\\x^2 - 6 x - 2 x + 12 = 0 \\\\x(x- 6) - 2(x - 6) = 0 \\\\(x - 2) (x - 6) = 0 \\\\x = 2 and x = 6[/tex]

So, the intersepts are

(2, 0) and (6, 0)

Answer:

ummmm maybe u just forgot to add the picture

y=70+18(x)

y=70+18(12)

y=70+216

y=286

Step-by-step explanation:

since Tanya bakes 12 more cookies,

x=12

y= 70 + 18(12)

y=70 + 216

y= 286

therefore, she bakes 286 cookies with twelve more batches

Answer:

£624

Step-by-step explanation:

Surface area of a box = 2(length*width + length*height + width*height)

Length = 60 cm

Width = 50 cm

Height = 20 cm

Surface area of a box = 2(length*width + length*height + width*height)

= 2(60*50 + 60*20 + 50*20)

= 2(3000 + 1200 + 1000)

= 2(5,200)

= 10,400 cm²

Surface area of a box = 10,400 cm²

The paint costs = £0.06 per cm²

Total cost of painting the box = 10,400 cm² × £0.06

= £624

Step-by-step explanation:

No, the product of two (or more) prime numbers cannot result in another prime number. By definition, a prime number is a number that is divisible by 1 or itself - the act of multiplying two or more primes together will always yield a number divisible by 1, itself and the prime numbers multiplied together to achieve it.

Answer:

a composite one

Step-by-step explanation:

Why?

It is easy-peasy.

First, it is impossible to have a prime number. Because primes are only divisible by 1 and themselves.

For example, 3 is a prime. 7 is a prime. Multiply them and get 21.

I hope it helped:)

Answer:

-9

Step-by-step explanation:

{-2*-1^-2/-2-1*-1-3}3

= -9

Answered by GAUTHMATH

Answer:

y=2x+5

Step-by-step explanation:

y=2x+4 means that the slope is m1=2

A parallel line shall have the same slope so

m2=m1=2

Therefore, the equation of the new line will be

y=2x+q

where q is the y-intercept, that is 5 because the line must pass in (0,5), so

q=5

and

y=2x+5

Answer:

C, {-8, -3, 5, 7}

Step-by-step explanation:

the range = the y-coordinates

i hope this helps you

Answer:

Step-by-step explanation:

e) 3√2 (-3√6 -2 -6)

3√2 (-3√6 - 8)

-9√12 - 24√2

-9√(2^2 * 3) - 24√2

-18√3 - 24√2

or

6(-3√3 - 4√2)

f) -5√2 (3 + 2√2 - 6 - 1)

-5√2(-4 + 2√2)

20√2 - 20

or

20(√2 - 1)

The closer to 1 the r value the closer the dots make a straighter line.

A positive value the distance move up to the right, a negative value the dots move down to the right.

A = r = -0.33

B = r = -0.75

C = r = 0.72

D = r = 0.89

Answer:

[tex]R=(\sqrt{11} )\frac{x}{2}[/tex]

Step-by-step explanation:

The expression for the radius of the sphere will be R = (3/2)x.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that a solid cylinder has a radius x cm and height (7x÷2) cm .the surface area of a sphere with a radius R cm is equal to the total surface area of the cylinder.

The expression will be solved as:-

SA ( sphere) = 4πR²

SA (cyl) = 2πr² + 2πrl

SA (cyl) = 2πx² + 2πx ( 7x / 2)

SA (cyl) =  2πx² + 7πx²

SA ( sphere)  = SA (cyl)

4πR² =   2πx² + 7πx²

R² = 9πx² / 4π

R = √(9x²/4)

R = ( 3 / 2 )x

Therefore, the expression for the radius of the sphere will be R = (3/2)x.

To know more about an expression follow

https://brainly.com/question/17648646

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Answer:

1/6 of the bread

Step-by-step explanation:

Given data

Let the amount of the loaf of bread be 1

But they are expected to share half

hence the amount to be shared is= 1/2 bread

The number of children is 3

Hence

=1/2/3

=1/2*1/3

=1/6 bread

Hence each child will get 1/6 of the bread

Answer:

سأعطي فقط مثالاً مقدمًا أدناه آمل أن يساعد

Step-by-step explanation:

الارتفاع = 24 سم

نصف القطر = 14 ÷ 2 = 7 سم

ارتفاع مائل = L =؟

L2 = R2 + H2

م 2 = 72 +242

م 2 = 49 + 576

م 2 = 625

L = 25

الحجم = 1 ÷ 3 × 22 ÷ 7 × 7 × 24

الحجم = 1232 سم

مساحة السطح المنحني = 22 × 7 × 7 × 25

مساحة السطح المنحني = 550

إجمالي مساحة السطح = 22 × 7 × 7 × 25 + 7

مساحة السطح الكلية = 704 سم

يرجى وضع علامة لي على أنه أذكى

Answer:

8 days

Step-by-step explanation:

Answer:

4 days

Step-by-step explanation:

[tex]120 - 8x = 60 + 7x[/tex]

x=4

Answer:

C.  y axis

Step-by-step explanation:

y axis is the answer

Answer: 10

Step-by-step explanation:

(4y + 8x + 6) + 23 + (4x + 6y + 7)

10y + 12x +23 + 7 + 6

10y + 12x + 38

y = 10

Answer:

10

Step-by-step explanation:

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