Ask question

Ask question

All categories

ludmilkaskok [199]

3 years ago

15

Brock exercises every day. The function E = 15m + 5 represents the number of sit-ups he can do in m minutes. After drinking a ne

w sports drink to stay hydrated, he finds that he can increase the number of sit-ups per minute by a factor of 3, represented by the function S = 3E. Which function represents the number of sit-ups he can do after drinking the sports drink?
Answer:
S = 45m + 15

1 answer:

adoni [48]3 years ago

7 0

Answer:

$S=45m+15$

Step-by-step explanation:

we have

E------>the number of sit-ups

m----> the time in minutes

S----> the number of sit-ups after drinking the sports drink

$E=15m+5$ ----> equation A

$S=3E$ ----> equation B

substitute the equation A in the equation B

$S=3(15m+5)$

$S=45m+15$

You might be interested in

Find the length of the bolded arc.

Murljashka [212]

50 over 360 * 7.2*pi = 3.14159...

6 0

3 years ago

the lowest temperature on may 15 is 2/3 as warm as the warmest temperature on may 15 the lowest temperature on may 15th is 60 de

g100num [7]

Let x be the lowest temperature in may 15

And y the warmest temperature in may 15

Since the lowest temperature is 2/3 the warmest temperature during that day, in equation form

X = (2/3)y

Since the lowest temperature is 60 F

60 = (2/3) y

<span>Y = 90 F</span>

4 0

3 years ago

Jacob solves the system of equations by forming a matrix equation.

Lyrx [107]

Simultaneous equations can be solved using inverse matrix operation.

The complete steps of Jacob's solution are:

$\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]^{-1} \cdot \left[\begin{array}{cc}4&1\\-2&3\end{array}\right]\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14}\left[\begin{array}{cc}3&-1\\2&4\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{cc}4&1\\-2&3\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14} \left[\begin{array}{c}28&-84\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{c}2&-6\end{array}\right]$

We have:

$4x + y = 2$

$-2x + 4y = -22$

Calculate the determinant of $\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]$

$|A| = 4 \times 3 -1 \times -2$

$|A| = 12 +2$

$|A| = 14$

So, the inverse matrix becomes

$A = \frac{1}{14}\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]$

Replace the first column with $\left[\begin{array}{c}2&-22\end{array}\right]$ to calculate the value of x

$x = \frac{1}{14}\left[\begin{array}{cc}2&1\\-22&3\end{array}\right]$

So, we have:

$x = \frac{1}{14}(2 \times 3 - 1 \times -22)$

$x = \frac{1}{14}(6 +22)$

$x = \frac{1}{14}(28)$

$x = 2$

Replace the second column with $\left[\begin{array}{c}2&-22\end{array}\right]$ to calculate the value of y

$y = \frac{1}{14}\left[\begin{array}{cc}4&2\\-2&-22\end{array}\right]$

So, we have:

$y = \frac{1}{14}(4 \times -22 - 2 \times -2)$

$y = \frac{1}{14}(-88 +4)$

$y = \frac{1}{14}(-84)$

$y = -6$

Hence, the complete process is:

$\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]^{-1} \cdot \left[\begin{array}{cc}4&1\\-2&3\end{array}\right]\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14}\left[\begin{array}{cc}3&-1\\2&4\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{cc}4&1\\-2&3\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14} \left[\begin{array}{c}28&-84\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{c}2&-6\end{array}\right]$

Read more about matrices at:

brainly.com/question/11367104

6 0

3 years ago

What is 81/10 in simplest form

yKpoI14uk [10]

You put it into a mixed number. Therefor the answer is 8 1/10 because 10 goes into 80 8 times, with 1 left over.

6 0

4 years ago

Read 2 more answers

What is the measure of angle C?

Serggg [28]

Use the law of sines....(sina/A=sinb/B=sinc/C for any triangle)

What that means is the sine of an angle divided by the length of the side opposite the angle is a ratio that is true each angle/side pair...In this case:

sin90/122=sinc/22 rearrange to solve for sinc

sinc=(22sin90)/122 now take the arcsin to solve for c

c=arcsin[(22sin90)/122]

c≈10.388857815469611987441020361405

c≈10.39° (to nearest hundredth of a degree)

3 0

3 years ago