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aleksandr82 [10.1K]
2 years ago
13

Could you please answer this precisely. Thank you!

Mathematics
1 answer:
OleMash [197]2 years ago
3 0

The mathematical functions (equations) are matched to their graph line respectively as follows:

  • y = 960 - 78x: purple straight line.
  • y = 8·3^x: violet line curve that slopes to the left.
  • y = 960·(1/2)^x: green line curve that slopes to the right.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate. Mathematically, a linear function is given by this equation:

y = mx ± c.

<h3>What is an exponential function?</h3>

An exponential function can be defined as a type of mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:

f(x) = keˣ

Next, we would match each of the mathematical functions (equations) to their graph line respectively as follows:

  • y = 960 - 78x: purple straight line.
  • y = 8·3^x: violet line curve that slopes to the left.
  • y = 960·(1/2)^x: green line curve that slopes to the right.

Read more on graphs here: brainly.com/question/24298987

#SPJ1

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Find the apothem and area of a square with a radius of 9.
Nonamiya [84]

Answer:

I think the answer is 18 square or 324.

Step-by-step explanation:

6 0
3 years ago
In the figure below, mZ1=(x +48) and m2 2=2xº.<br> Find the angle measures.
NARA [144]
Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:

m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°

Combine like terms:
48° + 3x° = 90°

Subtract 48° from both sides:

48° - 48° + 3x° = 90° - 48°

3x = 42°

Divide both sides by 3 to solve for x:

3x/3 = 42/3

x = 14°

Plug in the value of x into the equation to fins m< 1 and m < 2:

m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°

90° = 90° (True statement)

Therefore:

m < 1 = 62°
m < 2 = 28°
6 0
3 years ago
On a math test 12 students earned an a this number is exactly 25% of the total number of students in the class how many students
statuscvo [17]

Answer:

48 students.

Step-by-step explanation:

25% of total students = 12

suppose,

total students= x

so,

25% of x=12

(25/100)*x=12

25*x=(12*100)

x=1200/25

x=48

therefore,

x= total students= 48.

7 0
3 years ago
Write a proportion for the following word problem.
Rashid [163]

<12> starting number <75%> next number your new hourly rate would be higher also know as 75% more meaning the answer to how much more i would get is <12> + <75> = <87>

6 0
3 years ago
A teacher was interested in finding out whether a special study program would increase the scores of students on a national exam
bija089 [108]

Answer:

Check the explanation

Step-by-step explanation:

Going by the first attached image below we reject H_o against  H_1 if obs.T > t_{\alpha /2;n-1}

here obs.T=1.879

\therefore obs.T \ngtr 2.447=t_{0.025;6}

we accept H_o:\mu _{1}=\mu_{2} at 5% level of significance.

i.e there is no sufficient evidence to indicate that the special study program is more effective at 5% level of significance.

1.

this problem is simillar to the previous one except the alternative hypothesis.

Let X_i's denote the bonuses given by female managers and Y_i's denote the bonuses given by male managers.

we assume that X_i \sim N(\mu _{1},\sigma _{1}^{2}) Y_i \sim N(\mu _{2},\sigma _{2}^{2}) independently

We want to test H_0:\mu_{1}=\mu_{2} vs H_1:\mu_{1}\neq \mu_{2}

define D_i=X_i-Y_i , i=1(1)8

now D_i\sim N(\mu _{1}-\mu _{2}=\mu _{D},\sigma _{1}^{2}+\sigma _{2}^{2}=\sigma _{D}^{2}) , i=1(1)8

the hypothesis becomes

H_0:\mu_{D}=0 vs H_1:\mu_{D}\neq 0

in the third attached image, we use the same test statistic as before

i.e at 5% level of significance there is not enough evidence to indicate a difference in average bonuses .

3 0
3 years ago
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