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Verizon [17]
3 years ago
11

The functions s and t are defined as follows.

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
6 0
-77
You first solve for s(x) by plugging in 5 as the variable
-3*5-4=-19
You then plug the -19 into t(x) and 4*-19-1= -77
kkurt [141]3 years ago
5 0
<h2>Hello!</h2>

The answer is:

t(s(5))=-77

<h2>Why?</h2>

To solve the problem, first, we need to compose the functions, and then evaluate the obtained function. Composing function means evaluating a function into another function.

We have that:

f(g(x))=f(x)\circ g(x)

From the statement we know the functions:

s(x)=-3x-4\\t(x)=4x-1

We need to evaluate the function "s" into the function "t", so:

t(s(x))=4(-3x-4)-1\\\\t(s(x))=-12x-16-1=-12x-17

Now, evaluating the function, we have:

t(s(5))=-12(5)-17=-60-17=-77

Have a nice day!

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Tim is investigating the relationship between the number of years since a tree was planted and the height of the tree in feet. H
wolverine [178]

Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.

Step-by-step explanation:

Years since tree was planted (x) - - - - height (y)

2 - - - - 17

3 - - - - 25

5 - - - 42

6 - - - - 47

7 - - - 54

9 - - - 69

Using a regression calculator :

The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08

With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.

X is the independent variable which is used in calculating the value of y.

Predicted height when years since tree was planted(x) = 100

ŷ = 7.36X + 3.08

ŷ = 7.36(100) + 3.08

y = 736 + 3.08

y = 739.08

Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.

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3 years ago
Help ASAP, NO LINKS OR YOU WILL BE REPORTED!! WILL GIVE BRAINIEST!
NeTakaya

Answer:

Question.... Why no links, i wont give you any, but why does everyone dislike links? Just so u know in am 9 and i am in high school :)

Step-by-step explanation:

7 0
3 years ago
The sum of the first three terms of a sequence is 6 and the fourth term is 16
Sati [7]

Answer:

              a₁ = -5, d = 7,  a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence:    \boxed{\bold{a_n=7n-12}}

Step-by-step explanation:

a₁ + a₂ + a₃ = 6    

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2     ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

a₁ = -5, d = 7   ⇒  a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16

equation of arithmetic sequence:

a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}

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2 years ago
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