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2 years ago

twice the sum of x is at most 38. what is the greatest value of x that satisfies the inequality that represents this situation

Mathematics

1 answer:

Zolol [24]2 years ago

3 0

Twice the sum of x = 2x

2x ≤ 38
x ≤ 38 ÷ 2
x ≤ 19

Greatest value of x is 19

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The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y plus 7 equals negative StartFrac

user100 [1]

Answer:

2x + 5y = - 15

Step-by-step explanation:

The line that passes through (–5, –1) and (10, –7) points and the point-slope form of the equation is $y + 7 = - \frac{2}{5}(x - 10)$ .

Now, we have to arrange this in the standard form.

So, $y + 7 = - \frac{2}{5}(x - 10)$

⇒ 5(y + 7) = - 2(x - 10)

⇒ 5y + 35 = - 2x + 20

⇒ 2x + 5y = - 15 (Answer)

3 0

2 years ago

Read 2 more answers

HELP PLEASE LOTS OF POINTS!!

Paladinen [302]

Answer:

Thus, f and g are inverse functions

Step-by-step explanation:

Inverse Functions

If two functions f(x) and g(x) are inverses, then it follows that:

$f\circ g(x)=x$

Or:

$g\circ f(x)=x$

We are given

$\displaystyle f(x)=\frac{1}{4}x-6$

$g(x)=4x+24$

Let's test if they are inverse functions:

$f\circ g(x)=\frac{1}{4}(4x+24)-6$

Simplifying:

$f\circ g(x)=x+6-6=x$

Now find:

$\displaystyle g\circ f(x)=4\left(\frac{1}{4}x-6\right)+24$

Operating:

$\displaystyle g\circ f(x)=x-24+24=x$

Thus, f and g are inverse functions

6 0

2 years ago

Read 2 more answers

The function f(x) = 6x + 8 represents the distance run by a cheetah in miles. The function g(x) = x − 2 represents the time the

natta225 [31]

Correct question is;

The function f(x) = 6x + 8 represents the distance run by a cheetah in miles. The function g(x) = x − 2 represents the time the cheetah ran in hours. Solve (f/g)(3), and interpret the answer.

Answer:

26 is the cheetahs rate in miles per hour.

Step-by-step explanation:

We are given;

f(x) = 6x + 8

g(x) = x − 2

Thus;

f/g = f(x)/g(x)

> (6x + 8)/(x − 2)

Since we are looking for (f/g)(3), then we have;

> (6(3) + 8)/((3) − 2) = 26

Since f(x) is distance and g(x) is time, then, we know that distance/time = speed. Thus, the interpretation is 26 mph which is the speed of the cheetah.

3 0

2 years ago

Study guide help?

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

Garrett achieves a field goal is independent of each kick. Hence X no of kicks is binomial with p = 0.83, and q =0.17

No of trials 3

Hence X can take values as 0 ,1,2,3 and

$P(X=r) = 4Cr(0.83)^r (0.17)^{4-r}$

, r=0,1,2,3

Using the above we obtain prob distribution as

X 0 1 2 3

P(X) 0.0049 0.0720 0.3513 0.5718

P(X>=2) =P(X=2,3,4) =0.9231

-----------------------------------------

2) Z value for company A = $\frac{260-272}{5.4} =-2.22$

Z value for company B = $(260-249)/3.8 =2.89$

From z value probablility is more for company A as

P(Z>-2.22) >P(Z>2.89)

8 0

2 years ago

I need some help with solving this problem 8d-5<6d+8

Lina20 [59]

Answer: d < 13/2

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

8*d-5-(6*d+8)<0

Step by step solution :

Step 1 :

1.1 Divide both sides by 2

d-(13/2) < 0

Solve Basic Inequality :

1.2 Add 13/2 to both sides

d < 13/2

Inequality Plot :

1.3 Inequality plot for

2.000 d - 13.000 < 0

6 0

2 years ago