All categories

3 years ago

Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3.

2 answers:

8 0

I believe the answer would be -91 because if u solve both of the equations then the f(x) would be 7 and the g(x) would be -13 so it would be 7(-13) which equals -91.

nadezda [96]3 years ago

6 0

F(g(x)) = 2(-5x+2) + 1

= -10x + 4 + 1 = 5 - 10x

when x = 3 this equals 5 - 10(3) = - 25

answer -25

You might be interested in

which function has the greater y intercept f(x)=6x^2+18x+3 A.f had a greater y intercept than g B g had a greater y intercept th

Salsk061 [2.6K]

Step-by-step explanation:

f(0) = 3

g(0) = 6

Therefore, g(x) has the greater y-intercept.

8 0

3 years ago

Multiple Transformations Question What is the value of t? 3.5(t+6)=7

frosja888 [35]

So 3.5(t+6\=7 Divide both sides of the equation by 3.5t+6=2 Move the constant to the right-hand side and change its sign t=2-6 Calculate the difference your final answer is
t= -4

4 0

1 year ago

Read 2 more answers

Is the following sentence a statement or not a statement? He is six years old. It is a statement. It is not a statement. cannot

aleksley [76]

It's most likely a statement

3 0

3 years ago

Read 2 more answers

Solve the following equation by using the distributive property: 5(x - 4) = 6

Pani-rosa [81]

You do 5 times x and 5 times 4 and you’d end up with equation that says 5x-4=6. The you add 4 to both sides of the equation to cancel out the 4. Your equation should now say 5x=10. You divide both sides by 5 and you have your answer x=2

8 0

3 years ago

Read 2 more answers

Based on data collected 5 years ago, a hotel expects that 24% of all guests will request smoking rooms. The hotel suspects that

9966 [12]

Answer:

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

Step-by-step explanation:

Step(i):-

Given the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms.

Sample proportion

p = x/n = 39/223 = 0.174

Given Population proportion 'P' = 0.24

Given random sample size 'n' = 223

Level of significance ∝ =0.05

The critical value Z₀.₀₅ = 1.96

Null Hypothesis (H₀) : P=0.24

Alternative Hypothesis (H₁) : P≠ 0.24

Step(ii):-

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.174-0.24}{\sqrt{\frac{0.24 X 0.76}{223} } }$

|Z| = | -2.3084|= 2.3084

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

7 0

3 years ago