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3 years ago

Find all values of x (if any) where the tangent line to the graph of the function is horizontal

Mathematics

1 answer:

ratelena [41]3 years ago

5 0

the horizontal tangent line mean y'=0

8 - 2x = 0

x = 4

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How can I show this expression using algebra tiles. 7(2+w)

Nezavi [6.7K]

This expression would be factored 14+ 7w.

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3 years ago

Solving 8 problems per minute, Fast Finn can finish his test in time. He was however, working faster, solving 10 problems per mi

mrs_skeptik [129]

Answer:

Number of problems = 240

Step-by-step explanation:

Let x be the number of questions and t be the time.

Given:

Average rate = 8 problems per minute

Fast Finn rate = 10 problems per minute

Fast Finn taken time = t - 6

We need to find the number of problems on the test paper.

Solution:

Average rate to solve test paper.

$Average\ rate =\frac{Number\ of\ questions}{time}$

$8 =\frac{x}{t}$

$t =\frac{x}{8}$ --------------(1)

Fast Finn rate to solve the test paper.

$Average\ rate =\frac{Number\ of\ questions}{time}$

$10 =\frac{x}{t-6}$

Using cross multiplication rule.

$x=10(t-6)$

$x=10t-60$

substitute $t =\frac{x}{8}$ from equation 1.

$x=10(\frac{x}{8}) -60$

Rearrange the equation as:

$x - \frac{5}{4}x = -60$

$\frac{4x-5x}{4}=-60$

$-\frac{x}{4} = -60$

Using cross multiplication rule.

$x = 60\times 4$

x = 240 problems.

Therefore, 240 problems were on the test.

4 0

3 years ago

How to solve for y if the equation is y=5/2x + 5 if x is zero

Karolina [17]

$y=\dfrac{5}{2}\cdot0+5\\
y=0+5\\
y=5$

5 0

4 years ago

Read 2 more answers

the big wheel could have a 52 inch diameter and the small wheel could have an 18 inch diameter.What is the circumference of the

BlackZzzverrR [31]

Before we begin, let's cross out "the small wheel could have an 18 inch diameter". This is useless information and should be disregarded to avoid confusion. Lots of questions include extraneous information to make you second guess yourself, so it is important to be aware of what the question is asking you and what you need in order to answer it.

The formula for circumference is $\pi$ x diameter. With this formula, we can substitute the value of the diameter, 52, into the equation.

Circumference = 3.14 x 52
Circumference = 163.28

Final Answer: the circumference of the big wheel is 163.28 inches
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3 years ago

The formula for the perimeter of a rectangle is 2l + 2w, where l is the length and width. How can you use the Distributive Prope

Ann [662]

Try to find the common factor which is 2.
So:
Multiply by 2 both variables in parenthesis and you get:
2*(l+w)

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3 years ago