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Simplify the expression:<br> -6(1.4 - r)=

Vitek1552 [10]

Answer:

$6r-8.4$

Step-by-step explanation:

$-6(1.4-r)$

Use the distibutivve property to multiply -6 by 1.4 - r

$-8.4 +6r$

Then move over 6r to the front

$6r-8.4$

6 0

2 years ago

Read 2 more answers

Which of the following rational functions is graphed below A.f(x)=1/x-4 B. F(x)=1/4x

dsp73

Considering it's vertical asymptote, the rational function graphed below is given by:

A. $F(x) = \frac{1}{x - 4}$ .

<h3>What are the vertical asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

In this graph, there is a vertical asymptote at x = 4, that is, x - 4 is a term of the denominator, hence the function is given by:

A. $F(x) = \frac{1}{x - 4}$ .

More can be learned about vertical asymptotes at brainly.com/question/16948935

#SPJ1

8 0

2 years ago

One number is 4 more than another. the difference between their squares is 64. what are the numbers

lora16 [44]

We have to set up 2 different equations if we are to solve for 2 unknowns. The first equation is x = y + 4. One number (x) is (=) 4 more than another (y + 4). Since we have determined that x is larger (cuz it's 4 more than y), when we set up their difference, we are going to subtract y from x cuz x is bigger. The second equation then is $x^{2} - y^{2} =64$ . In our first equation we said that x = y + 4, so let's sub that value in for x in the second equation: $(y+4) ^{2} - y^{2} =64$ . Expand that binomial to get $y^{2} +8y+16- y^{2} =64$ . Of course the y squared terms cancel each other out leaving us with 8y + 16 = 64. Solving for y we get that y = 6. Subbing 6 in for y in our first equation, x = 6 + 4 tells us that x = 10. Yay!

5 0

3 years ago

IQ is normally distributed with a mean of 100 and a standard deviation of 15. a) Suppose one individual is randomly chosen. Fin

nasty-shy [4]

Answer:

Step-by-step explanation:

Let X be the IQ

IQ is normally distributed with a mean of 100 and a standard deviation of 15.

a) the probability that this person has an IQ greater than 95

= $P(X\geq 95)\\=P(Z\geq \frac{95-100}{15} \\=P(Z\geq -0.33)\\=0.1293+0.5\\=0.6293$

=62.93%

b) the probability that this person has an IQ less than 125

$=P(X\leq 125) =P(X\leq 1.67)\\=0.5-0.4525\\=0.0475$

=4.75%

c) Sample size =500

$P(X$

No of people = 0.2486(500) =124.3

d) $P(x>140)\\= P(Z>2.6)\\=0.5-0.4953\\=0.0047$

No of persons = 0.0047(500) = 2.35

3 0

3 years ago

Please please help me out

Dafna1 [17]

Answer:

The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,

4.2 ft

Step-by-step explanation:

The equation for the volume of a pyramid of base area B and height h is

V = (1/3)·B·h. Here, V = 432 ft³, B = (12 ft)² and h (height of the pyramid) is unknown. First we find the height of this pyramid, and then the slant height.

V = 432 ft³ = (144 ft²)·h, so h = (432 ft³) / (144 ft²) = 3 ft.

Now to find the slant height of this pyramid: That height is the length of the hypotenuse of a right triangle whose base length is half of 12 ft, that is, the base length is 6 ft, and the height is 3 ft (as found above).

Then hyp² = (3 ft)(6 ft) = 18 ft², and the hyp (which is also the desired slant height) is hyp = √18, or √9√2, or 3√2 ft.

The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,

4.2 ft

5 0

3 years ago