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4 years ago

Let f(x)=8x and g(x)=8x+5+1.

1 answer:

6 0

If g(x) = (8x + 5) + 1, then the correct answers are in bold below

<span>Select each correct answer.

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During strenuous work a human body generates about 2,400 BTUs of body heat per hour. If 7 bodybuilders are in a gym that is 20 f

Vlad [161]

The answer is b) 8.4

3 0

3 years ago

A professor has 24 pairs of socks in his drawer. 18 pairs are black and the rest are brown. He always wears black pants. He does

lesya692 [45]

Answer:

The likelihood that the professor's socks matched his pants on both days is 0.5625

Step-by-step explanation:

Total no. of pair of socks = 24

No. of black pairs = 18

We are given that he selects one pair of socks on Monday and one on Tuesday. Since he has lots of clean socks in the drawer he does not do laundry.

So, It is a case of replacement

He always wears black pants.

We are supposed to find he likelihood that the professor's socks matched his pants on both days i.e. Black socks both days.

So ,Probability of wearing black socks on Monday = $\frac{18}{24}$

So ,Probability of wearing black socks on Tuesday = $\frac{18}{24}$

So,the likelihood that the professor's socks matched his pants on both days = $\frac{18}{24} \times \frac{18}{24}=0.5625$

Hence the likelihood that the professor's socks matched his pants on both days is 0.5625

4 0

3 years ago

Write an equation that passes through the points (0,-5) and (8,-5)

bezimeni [28]

Answer:

Equation of the line: $y = -5$ .

Step-by-step explanation:

Let $(x_0,\, y_0)$ and $(x_1,\, y_1)$ denote the coordinates of these two points, respectively.

Calculate the slope $m$ of this line:

$\displaystyle m = \frac{y_1 - y_0}{x_1 - x_0} = \frac{(-5) - (-5)}{8 - 0} = 0$ .

Notice that the slope is zero because the two points have the same $y$ -coordinates ( $y_0 = y_1 = -5$ ) even though their $x$ -coordinates are distinct ( $x_0 \ne x_1$ .)

Equation for this line in point-slope form:

$y - y_0 = m\, (x - x_0)$ .

$y - (-5) = 0\, (x - 0)$ .

Rewrite and simplify to obtain the equation of this line in slope-intercept form:

$y = -5$ .

The $x$ -term was eliminated because the slope was zero.

6 0

3 years ago

Plz plz plz help me with this

erica [24]

This question wants you to find a common denominator for the fractions.
This means finding the LCM, least common multiple, for 21 and 9.
This can be done by listing the multiples for each number until they meet at a common one.

9:
9
18
27
36
45
54
63

21:
21
42
63

This means the LCM of 21 and 9 is 63.
So the lowest possible common denominator is 63.

21 • 3 = 63
So you have to multiply the numerator of 2/21 by 3 as well.
2 • 3 = 6
2/21 = 6/63

Now do the same for 1/9.
9 • 7 = 63
Multiply the numerator, 1, by 7.
1 • 7 = 7
1/9 = 7/63

So in the first blanks, you would put 6/63 for what 2/21 is equal to and 7/63 for what 1/9 is equal to.

7/63 is greater than 6/63.
7/63 > 6/63
That means 1/9 > 2/21
So 2/21 < 1/9 is the answer to the last blank.

Hope this helps!

6 0

3 years ago

How can i solve the following <br> 4x-3=2x+7

yan [13]

Answer:

x = 5

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.

Add 3 and subtract 2x from both sides of the equation:

4x (-2x) - 3 (+3) = 2x (-2x) + 7 (+3)

4x - 2x = 7 + 3

2x = 10

Next, isolate the x by dividing 2 from both sides of the equation:

(2x)/2 = (10)/2

x = 10/2

x = 5

5 is your answer for x.

6 0

3 years ago

Read 2 more answers