a parent function f(x)=4x-5 is transformed to f(x)+3. which statement about the graph of f(x)+3 is true?

a) the graph shifts 3 units up from the parent graph, the x-intercept increases by 3.
b) the graph shifts 3 units up from the parent graph, the y-intercept increases by 3.
c) the graph shifts 3 units down from the parent graph, the x-intercept increases by 3.
d) the graph shifts 3 units down from the parent graph, the y-intercept increases by 3.

Given:

The graph of a parabola.

To find:

The domain, range and check whether it is a function or not.

Solution:

Domain: The set of x-values or input values is known as domain.

Range: The set of y-values or output values is known as range.

A relation is a function if their exist unique outputs for each input. In other words a graph is a relation if it pass the vertical line test.

Vertical line test: Each vertical line intersect the graph at most once.

The given function is defined for all real values of x which are greater than or equal to -3. So, the domain of the given graph is:

[tex]Domain=[-3,\infty)[/tex]

The given function values can be any real number. So, the range of the given graph is:

[tex]Range=(-\infty,\infty)[/tex]

For x=0, we have two values of the function because the graph intercept the y-axis at two points.

Since the graph does not pass the vertical line test therefore the given graph is not a function.

Answer:

Solid 7

Step-by-step explanation:

Answer:

Guido tiene 9 años, Andrés tiene 36 años y David tiene 3 años.

Step-by-step explanation:

Con la información proporcionada, sabes que la edad de los tres suma 48, lo que se puede expresar como:

x+y+z=48, donde:

x es la edad de Guido

y es la edad de Andrés

z es la edad de David

Además, de acuerdo al enunciado puedes decir que la edad del papá Andrés es cuatro veces la edad de Guido y que la edad de David es la tercera parte de la edad de Guido y puedes escribir las siguientes ecuaciones:

y=4x

z=x/3

Ahora puedes reemplazar estas dos ecuaciones en la primera y despejar x:

x+4x+x/3=48

5x+x/3=48

16x/3=48

16x=48*3

16x=144

x=144/16

x=9

Después, puedes reemplazar el valor de x en y=4x para encontrar el valor de y:

y=4x

y=4*(9)

y=36

Finalmente, debes reemplazar el valor de x en z=x/3 para encontrar el valor de z:

z=x/3

z=9/3

z=3

De acuerdo a esto, Guido tiene 9 años, Andrés tiene 36 años y David tiene 3 años.

Answer:

B.A factory produces blue pens and black pens. Each week, 2/2=3

of the pens produced at

the factory are black.

Step-by-step explanation:

Answer:

D f f t f

Step-by-step explanation:

Tvtctctc

Step-by-step explanation:

substitute for y

x+3+4 = -6x

x+ 7 = -6x

7 = -7x

-1 = x

y = -1+3

y = 2

Answer:

TV #3

Step-by-step explanation:

The others cost more.

Answer:

c = 20

Step-by-step explanation:

You have not really asked a question.

I will assume you are asking about the value of c.

The measure of angle 1 is 10 (assuming degrees!), so the measure of angle 2 is 80.  (Complementary angles have measures that sum to 90.)

The measure of angle 2 is also described as 4c, so 4c = 80.  That makes c = 20.

Answer:

D

Step-by-step explanation:

So you can protect your eyes.

Answer: D. When caught in a desert sandstorm

[tex]\color{yellow}{}[/tex][tex]\color{yellow}{}[/tex][tex]\color{yellow}{}[/tex][tex]\color{yellow}{}[/tex][tex]\color{yellow}{}[/tex][tex]\color{yellow}{}[/tex]

The volume of the pyramid with a square base is 135.5 cubic m if the base area is 16 cubic m and the height is 25.4 m.

In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the centre of the square.

We know the volume of the square pyramid V;

V = Bh/2

B is the base area, B = 16 square m

h is the height of the pyramid, h = 25.4 m

V = (16×25.4)/3

V = 135.46 ≈ 135.5 cubic m

Thus, the volume of the pyramid with a square base is 135.5 cubic m if the base area is 16 cubic m and the height is 25.4 m.

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Answer: C

Step-by-step explanation:

Answer:

I think That answer is A.

Step-by-step explanation:

If you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).

Given:

Post office is located at P(1,5).

Market is located at Q(4,9).

To find:

Distance between the post office and the market.

Solution:

Distance between two points is:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The post office is located at P(1,5) and the market is located at Q(4,9). So, the distance between the post office and the market is:

[tex]PQ=\sqrt{(4-1)^2+(9-5)^2}[/tex]

[tex]PQ=\sqrt{(3)^2+(4)^2}[/tex]

[tex]PQ=\sqrt{9+16}[/tex]

[tex]PQ=\sqrt{25}[/tex]

[tex]PQ=5[/tex]

The axes show distance in miles.

Therefore, the distance between the post office and the market is 5 miles.

Answer:

32 cups

There are 2 cups in one pint.  So, 16 times 2 = 32

Answer:

32 cups

Step-by-step explanation:

Answer:

4th option

Step-by-step explanation:

Answer:

100% increase

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = x³-1 is the same as y = x³-1

Replace x with y, and y with x =

x = y³ - 1

y³ = x + 1

y = ∛(x+1)

or y = (x+1)^1/3 (d)

_____________________

#IndonesianPride - kexcvi

Answer:

(x + 1)^1/3 (D)

Step-by-step explanation:

x = y^3 - 1

y^3 = x + 1

y = (x + 1)^1/3

Hope this help!

Given:

The expression is:

[tex]2b^3+5[/tex]

To find:

The value of the given expression when [tex]b=3[/tex].

Solution:

We have,

[tex]2b^3+5[/tex]

Substituting [tex]b=3[/tex] in the above expression, we get

[tex]2b^3+5=2(3)^3+5[/tex]

[tex]2b^3+5=2(27)+5[/tex]

[tex]2b^3+5=54+5[/tex]

[tex]2b^3+5=59[/tex]

Therefore, the value of given expression at [tex]b=3[/tex] is 59.

Answer:

The answer is 59

Step-by-step explanation:

2b³ + 5, b = 3

2(3)³ + 5

2 × 27 + 5 = 59

Thus, The answer is 59

-TheUnknownScientist

Answer:

6.6L

Step-by-step explanation:

4x1.75=7L

7L=7000mL

7000-400=6600mL=6.6L

Answer:

0.03906square foot

Step-by-step explanation:

Given the dimension of the bedroom yo be 2.25in by 2.5in

First we need to convert to foot

2.25in = 0.08333×2.25 = 0.1875feet

2.5in = 0.08333×2.5 = 0.2083feet

Area of the rectangular bedroom = length × width

Area of the rectangular bedroom = 0.1875×0.2083

Area of the rectangular bedroom = 0.03906square foot

Answer:

165 ways

Step-by-step explanation:

Use a choose formula (! stands for factorial):

11!/(3! (11-3)!)

9*10*11/6

165

Answer:

the answer is C

Step-by-step explanation:

C

please mark brainiest

you would have to gather the amount of money of each pin pack for it for example $7 / 5 that will be $1 with 40 cents 15 / 10 = $1.50 18 / 15 equals 1.20 and 40 / 30 = 1.6 which the less amount of money would be c

Answer: THIS IS SO HARD!

Step-by-step explanation:

The required boiling temperature of platinum is 3,739 degrees Celsius.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
a. Let's start by defining a variable for the boiling temperature of zinc, which we'll call z.

According to the problem statement, the boiling temperature of platinum is 199 more than four times the boiling temperature of zinc. In other words,

Boiling temperature of platinum = 4z + 199

So the expression that represents the boiling temperature of platinum in degrees Celsius is:

4z+199

b. The problem tells us that the boiling temperature of zinc is 907 degrees Celsius. So we can substitute this value for z in our expression:

4z+199 = 4(907)+199 = 3,739

Therefore, the boiling temperature of platinum is 3,739 degrees Celsius.

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Answer:

x= 22 /3y

Step-by-step explanation:

brainliest?

Answer:

Sarah donated 70 more dollars.

Step-by-step explanation:

The Phase “How much more” let’s us know that we are subtracting the amounts. 920- 850 is 70.

Answer:

Look at explanation

Step-by-step explanation:

Well according to the picture (it doesn't have the full problem so this is what I can explain):

To make 1 dozen cupcakes (x), you need 1 cup of butter (y). (Or you can see in the question on the picture: y = 0.5x)

So let's say, he wants to make half a dozen cupcakes, he would need 0.5 cups of butter. How many cups of butter he uses is how many dozens he can make.

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

[tex]525\pi[/tex]

Step-by-step explanation:

Volume of a cylinder is given by the function [tex]v=\pi r^{2}h[/tex]

where v is volume, r is radius and h is height.

In order to find the radius we just divide the diameter in half and get

[tex]\frac{10}{2} =5=r[/tex]

now we just plug the values in the formula

[tex]v=\pi r^{2}h\\=\pi (5^{2})(21)\\=\pi (25)(21)\\=525\pi[/tex]

Answer:

Volume of a cylinder: V = π (r^2) h

Step-by-step explanation:

First, find your radius and your height.

H = 21

D = 10

R = 1/2 d = 5

Then plug them into the equation: V = π (r^2) h

V = π (5^2) 21

V = π (25) 21

V = π (25 x 21)

V = π (525)

V = 525π