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Evgesh-ka [11]
3 years ago
13

If f(x)=9x-8 and g(x)=x³ what is (g°f)(1) please explain how you got the answer

Mathematics
1 answer:
mario62 [17]3 years ago
7 0

f(x) = 9x-8

g(x) = x^3

(g°f) = (9x-8)^3

(g°f)(1) = (9(1)-8)^3 = (9-8)^3 = 1^3 = 1

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Solve the system of equations for x and y.<br> y = x + 5<br> y = 2x + 2
DIA [1.3K]
Answer (x,y) (3, -2)

Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we

can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
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right
=
−
6
+
4
=
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2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
3 0
3 years ago
The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of th
kondaur [170]
L=16
W=21

Set up a systems of equations: 
x=length 
y=width 

xy=336
x+5=y

Use substitution to solve: 
x(x+5)=336
x^2+5x=336 

Solve using factoring: 
x^2+5x-336=0
(x-16)(x+21)=0
x=16 and x= -21 
Since length can't be negative, l=16 

To find width, plug length into the first equation: 
(16)y=336
y=21 

So...
L=16
<span>W=21</span>
7 0
3 years ago
Read 2 more answers
Can someone please help me with this???
MrRa [10]

Answer:

my estimation is 67

Step-by-step explanation:

6 0
3 years ago
Find the value of k so that the slope of the line through (2,-k) and (-1,4) is -3
Alona [7]
K is equal to 3. to find this i used the slope formula y2-y1/x2-x1. 4-k/-1-2
-1-2=-3 so that means that 4-k has to equal 1. 4-3=1 
k=1
4 0
3 years ago
For each of parts (a) through (d), indicate whether we would generally expect the performance of a flexible statistical learning
olga_2 [115]

Step-by-step explanation:

First, note that a flexible statistical learning method refers to using models that take into account agree difference in the observed data set, and are thus adjustable. While the inflexible method usually involves a model that has no regard to the kind of data set.

a) The sample size n is extremely large, and the number of predictors p is small. (BETTER)

In this case since the sample size is extremely large a flexible model is a best fit.

b) The number of predictors p is extremely large, and the number of observations n is small. (WORSE)

In such case overfiting the data is more likely because of of the small observations.

c) The relationship between the predictors and response is highly non-linear. (BETTER)

The flexible method would be a better fit.

d) The variance of the error terms, i.e. σ2=Var(ϵ), is extremely high. (WORSE)

In such case, using a flexible model is a best fit for the error terms because it can be adjusted.

6 0
3 years ago
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