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kow [346]
3 years ago
13

What is the vertex of the parabola f(x)=-(x-3)^2+25

Mathematics
2 answers:
zubka84 [21]3 years ago
8 0

Answer:

(3,25) is the vertex

Step-by-step explanation:

f(x)=-(x-3)^2+25

This equation is written in the form

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

Where (h,k) is the vertex of the parabola

(3,25) is the vertex

madam [21]3 years ago
3 0

Answer:

(3,25)

Step-by-step explanation:

In y = a(x - h)² + k,

(h,k) is the vertex

Similarly,

In f(x)=-(x-3)^2+25,

(3,25) is the vertex

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An exponential function is expressed in the form y=axb^x. The relation represents a growth when _______ and a decay when ______.
seropon [69]

Answer:

Growth when: b>1.

Decay when: 0<b<1.

Step-by-step explanation:

Any function in the form f(x)=a{\times}b^x , where a > 0, b > 0 and b not equal to 1 is called an exponential function with base b.

If 0 < b < 1 this is an example of an exponential decay.

The general shape of an exponential with b > 1 is an example of exponential growth.

Hence,

An exponential function is expressed in the form f(x)=a{\times}b^x,   The relation represents a growth when  b >1 and a decay when 0<b<1.

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In Triangle PQR, PQ = 9, QR = 10, and RP = 12. What is the smallest angle of this triangle?
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I need help, I dont know how to convert ratios into decimals and percentages [EX: write the ratio 5 to 8 in a decimal/percent]​
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3 years ago
A hydro company is laying down power lines in the ground. They have two sections of cable so far that are 325.0 m and 430.0 m lo
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The length of extra cable that is required to connect the two pieces of existing cable is equal to 182 meters.

<h3>How to determine the length of extra cable?</h3>

In order to determine the length of extra cable that is required to connect the two pieces of existing cable, we would apply the law of cosine as follows:

B² = A² + C² - 2(A)(C)cosB

Substituting the given parameters into the formula, we have;

B² = 325.0² + 430.0² - 2(325.0)(430.0)cos23

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Read more on cosine law here: brainly.com/question/11000638

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2 years ago
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