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shtirl [24]
3 years ago
14

Graphs of the functions f and g are shown in the xy-plane. For which of the following values of x does f(x) + g(x) = 0?

Mathematics
1 answer:
pav-90 [236]3 years ago
6 0

Answer:

-2

Step-by-step explanation:

The functions of f(x) and g(x) are given

For f(x)+g(x)=0 , functions f and g should be in opposite sign

We can observe that at x=−2 , f(x)=2 and g(x)=−2

Therefore f(−2)+g(−2)=0

So the correct option is D (-2)

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What is 15% of 75.50 and how did you get it
bekas [8.4K]
A percentage can just be written as a decimal where 100% = 1.00

15% = 0.15

75.5 * 0.15 = 11.325

You just multiply.
8 0
3 years ago
Read 2 more answers
Write the frost ten terms of a sequence whose first term is -10 and whose common difference is -2​
Temka [501]

Answer:

-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, called the common difference

The formula for an Arithmetic Sequence is equal to

a_n=a_1+(n-1)d

where

d is the common difference

n is the number of terms

a_1 is the first term of the sequence

In this problem we have

a_1=-10\\d=-2

substitute

a_n=-10+(n-1)(-2)

a_n=-10-2n+2

a_n=-2n-8

so

<u><em>Find the first ten terms</em></u>

a_1=-10

For n=2 ----> a_2=-2(2)-8=-12

For n=3 ----> a_3=-2(3)-8=-14

For n=4 ----> a_4=-2(4)-8=-16

For n=5 ----> a_5=-2(5)-8=-18

For n=6 ----> a_6=-2(6)-8=-20

For n=7 ----> a_7=-2(7)-8=-22

For n=8 ----> a_8=-2(8)-8=-24

For n=9 ----> a_9=-2(9)-8=-26

For n=10 ----> a_1_0=-2(10)-8=-28

The sequence is

-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...

5 0
3 years ago
Find the missing side length <br><br><br><br><br><br> Plsss help
ElenaW [278]

Answer:

I would be 21 for the missing side

3 0
3 years ago
Given the function rule f(x) = x2-5x+q what is the output of f (-3)
sammy [17]
F(x) = (-3)2 - 5(-3) + q
= -6 + 15 + q
= 9 + q
6 0
3 years ago
In an article regarding interracial dating and marriage recently appeared in a newspaper. Of 1719 randomly selected adults, 311
Bingel [31]

Answer:

Step-by-step explanation:

Hello!

The parameter of interest in this exercise is the population proportion of Asians that would welcome a person of other races in their family. Using the race of the welcomed one as categorizer we can define 3 variables:

X₁: Number of Asians that would welcome a white person into their families.

X₂: Number of Asians that would welcome a Latino person into their families.

X₃: Number of Asians that would welcome a black person into their families.

Now since we are working with the population that identifies as "Asians" the sample size will be: n= 251

Since the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the variable distribution to normal.

Z_{1-\alpha /2}= Z_{0.975}= 1.965

1. 95% CI for Asians that would welcome a white person.

If 79% would welcome a white person, then the expected value is:

E(X)= n*p= 251*0.79= 198.29

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.79*0.21=41.6409

√V(X)= 6.45

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

198.29±1.965*6.45

[185.62;210.96]

With a 95% confidence level, you'd expect that the interval [185.62; 210.96] contains the number of Asian people that would welcome a White person in their family.

2. 95% CI for Asians that would welcome a Latino person.

If 71% would welcome a Latino person, then the expected value is:

E(X)= n*p= 251*0.71= 178.21

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.71*0.29= 51.6809

√V(X)= 7.19

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

178.21±1.965*7.19

[164.08; 192.34]

With a 95% confidence level, you'd expect that the interval [164.08; 192.34] contains the number of Asian people that would welcome a Latino person in their family.

3. 95% CI for Asians that would welcome a Black person.

If 66% would welcome a Black person, then the expected value is:

E(X)= n*p= 251*0.66= 165.66

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.66*0.34= 56.3244

√V(X)= 7.50

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

165.66±1.965*7.50

[150.92; 180.40]

With a 95% confidence level, you'd expect that the interval [150.92; 180.40] contains the number of Asian people that would welcome a Black person in their family.

I hope it helps!

5 0
3 years ago
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