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antoniya [11.8K]
2 years ago
7

Which equation best represents the function, "the height of a door is three times its width."

Mathematics
1 answer:
valentinak56 [21]2 years ago
5 0
A. y=3x bc u have to multiply x by 3
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Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?<br><br> (–6.5, ∞)
juin [17]

Using the first derivative test, it is found that the graph is increasing on the interval is (-5, ∞).

<h3>What is Function?</h3>

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.

Here, the function is given by:

        f(x)  =   x²/2 + 5x + 6

On differentiating both sides, with respect to x we get

      f'(x) = x + 5

Then, we test the signal of the derivative, which is the first derivative test.

      x + 5 ≥ 0

       x ≥ -5

Thus, It is found that the Function is increasing on the interval is (-5, ∞).

Learn more about Function from:

brainly.com/question/12431044

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7 0
1 year ago
a stack of congruent blocks, piled one on top of the other, is 4/5 foot high. Each block is 1/10 foot tall. How many blocks are
kvasek [131]
8 blocks because 2/10=1/5 so if they total 4/5 then 2/10+2/10+2/10+2/10=8/10=4/5
6 0
3 years ago
Samuel drove 84 miles in 6 hours. How far can he drive in 6 hours?
rosijanka [135]

Answer:

the answer is 84 being how you asked the question but I dont think thats what you meant to ask. if thars wrong just tell me and ill answer it the way you need it

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the rational expression in simplest form? State any restrictions on the variables.
allochka39001 [22]

According to the question, the given rational expression can be simplified which is as shown below:

Rational expression = \frac{12-4x}{x^{2} -9}=\frac{4(3-x)}{(x-3)(x+3)}

For the simplification of the given expression, calculate the factors of the numerator as well as denominator terms and divide them from each other. In this change the sign of the expression before dividing with each other.

Rational expression = \frac{-4}{(x+3)}

The rational expression are also known as polynomial expression. The highest degree of these expression is two. And these expression uses concept of factor rule.

Therefore, the final expression is \frac{-4}{(x+3)}

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

To learn more about the polynomial expression from the given link:

<u>brainly.com/question/1280754</u>

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4 0
1 year ago
Find the area of a right triangle with a<br>height of 8 1/2 feet and a base of 15 feet,​
slamgirl [31]

Answer:

The area is 63.75 feet square

Step-by-step explanation:

Formula for area of a triangle is 1/2 × base × height

And we are given each of this variables in the question above

Therefore you just have to input those values to the formula

1/2×17/2×15

255/4

=63.75

Therefore the area of the triangle is 63.75 feet square

5 0
3 years ago
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