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sergiy2304 [10]
3 years ago
12

When the function f(x) = 4(2)x is changed to f(x) = 4(2)x − 13, what is the effect? (5 points)

Mathematics
1 answer:
Lunna [17]3 years ago
4 0

Answer: C. The y-intercept is 13 spaces lower.

Step-by-step explanation:

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The equation of a parabola is y=x^2-10x+27. Write the equation in vertex form
azamat

Answer:

\large \boxed{y = (x - 5)^{2} + 2 }

Step-by-step explanation:

y = x² - 10x + 27

y = ax² + bx + c

This is the general form of the equation for a parabola.

We must convert it to the vertex form

y = (x - h)² + k, where (h,k) are the coordinates of the vertex.

We can do this by completing the square.

\begin{array}{rcll}y & = & x^{2} - 10x + 27 & \\y - 27 & = & x^{2} - 10x & \text{Subtracted 27 from each side}\\y - 27&= & x^{2} - 10x + 25 - 25 & \text{Added and subtracted (b/2)}^{2}\\y - 27&= & (x - 5)^{2} - 25 & \text{Wrote the first three terms as the square of a binomial}\\y& = & \mathbf{(x - 5)^{2} + 2} & \text{Added 27 to each side}\\\end{array}\\\text{The vertex form of the parabola is $\large \boxed{\mathbf{y = (x - 5)^{2} + 2 }}$}The figure below shows that your parabola has its vertex at (5,2).

4 0
3 years ago
Which points are on the graph of f(x) = RootIndex 3 StartRoot x EndRoot? Check all that apply. (–27, –3) (–1, 1) (0, 0) (1, 1) (
Vanyuwa [196]

Answer:

(-27,-3) (0,0) (1,1)

Step-by-step explanation:

Because I got it right xD

6 0
3 years ago
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Exists throughout Earth's crust. It is the building block of all living things.​
Nimfa-mama [501]

Answer: Carbon

Step-by-step explanation:

Carbon is considered to be the building block of all living things as it is very important in the formation of compounds that are needed by living things to survive such as Carbohydrates and Protein and many more.

This is down to its ability to form stable compounds with other elements such as Hydrogen and oxygen both of which are present in Carbohydrates and Proteins.

Carbon exists in the Earth's crust as Carbonates in water, rocks, petroleum and living things as well especially plants and trees which release a significant amount if they are cut down.

7 0
4 years ago
The electric company charges $0.06 per kilowatt hour of electricity used. Write a multiplication equation to find the number of
olganol [36]

Answer:

$0.06(x)=$45.84

Step-by-step explanation:

x= the number of hours used

x=764 hours

to get the 764 you divide 45.85/0.06 because you want to isolate the variable.

6 0
3 years ago
Divide. (-5w^10+10w^8+5w^6)/(5w^5)
Veronika [31]
<span>(-5w^10+10w^8+5w^6)/(5w^5)
to divide we can factor out 5w^5 from the numerator
=[5w^5(-w^5+2w^3+w)]/(5w^5)
5w^5 will cancel out to have
=(-w^5+2w^3+w)
Hence
 Answer:</span>(-w^5+2w^3+w)<span>

</span>
3 0
4 years ago
Read 2 more answers
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