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GuDViN [60]
2 years ago
15

Please help me with these two math questions! Thank you ! :)

Mathematics
1 answer:
notka56 [123]2 years ago
5 0
I think it might be c hope that helps you 
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4(3x+5)= -4
NeX [460]

Answer/explanation

4(3x+5)=-4

You will distribute the four to every term in the parenthesis,

12x+20=-4

Then you will combine like terms

12x+20=-4

     -20  -20

12x=-24

Then you will divide 12 to isolate x

\frac{12x}{-24} =\frac{-24}{-24}

Obviously, -24 cancels out and you would get x=-2

4 0
3 years ago
Helpppppp pleaseeeeee !!!!!!!!! !!!!
Sergio [31]

Given:

The function is:

f(x)=6x-3

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

f(x)=6x-3

Step 1: Substitute f(x)=y.

y=6x-3

Step 2: Interchange x and y.

x=6y-3

Step 3: Isolate variable y.

x+3=6y

\dfrac{x+3}{6}=y

Step 4: Substitute y=g(x).

\dfrac{x+3}{6}=g(x)

Therefore, the inverse of the given function is g(x)=\dfrac{x+3}{6} and the graphs of these functions are shown below.

8 0
2 years ago
The economics department has 40 applicants for their phd program and only 10 openings. how many different combinations of applic
lana66690 [7]

In a sequence of events, the total possible number of ways all events can performed is the product of the possible number of ways each individual event can be performed. Since there are 10 openings

<span>P = 40 x 39 x 38 x 37 x 36 x 35 x 34 x 33 x 32 x 31 = 3.07599 x 10^15 different combinations</span>

5 0
3 years ago
PLZ ANSWER ASAP A bag contains 6 blue marbles, 10 red marbles, and 9 green marbles. If two marbles are drawn at random without r
LUCKY_DIMON [66]

Answer:

10/25

10+9+6 equals 25 and there is 10 red marbles. I think this is the answer don't take my word for it.

8 0
3 years ago
Read 2 more answers
Calculate the data value that corresponds to each of the following z-scores.
Fynjy0 [20]

Answer:

a) 90.1

b) $35.6

c) 3.0915 hours

Step-by-step explanation:

The z-score measures how many standard deviations a score X is above or below the mean.

It is given by the following formula:

Z = \frac{X - \mu}{\sigma}

In which \mu is the mean and \sigma is the standard deviaition.

In all three cases, we have to find X

a. Final exam scores: Allison’s z-score = 2.30, μ = 74, σ = 7.

Z = \frac{X - \mu}{\sigma}

2.30 = \frac{X - 74}{7}

X - 74 = 7*2.3

X = 90.1

b. Weekly grocery bill: James’ z-score = –1.45, μ = $53, σ = $12.

Z = \frac{X - \mu}{\sigma}

-1.45 = \frac{X - 53}{12}

X - 53 = -1.45*12

X = 35.6

Mean and standard deviation in dollars, so the answer also in dollars.

c. Daily video game play time: Eric’s z-score = –0.79, μ = 4.00 hours, σ = 1.15 hours.

Z = \frac{X - \mu}{\sigma}

-0.79 = \frac{X - 4}{1.15}

X - 4 = -0.79*1.15

X = 3.0915

Mean and standard deviation in hours, answer in hours.

6 0
3 years ago
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