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77julia77 [94]
3 years ago
8

The tables given are for the linear functions f(x) and g(x) what is the input value for which f(x)= g(x) is true? X=

Mathematics
2 answers:
Dovator [93]3 years ago
7 0

Answer:

x = –1.

Step-by-step explanation:

solniwko [45]3 years ago
4 0
It's asking us to find the input value x such that f(x) = g(x). So let's look at the columns f(x) and g(x). We can see that both f(x) and g(x) have the value of 3. The x-value at which f(x) = g(x) = 3 is x = –1.  

Thus the answer is x = –1.
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Ryan spent $26.32 on 8 gallons of<br> gas. How much would he spend<br> for 20 gallons?
Nana76 [90]

Answer:

$65.80

Step-by-step explanation:

Divide 26.32 by 8 to find how much is in one gallon.

26.32÷8=3.29

So it's 3.29 per gallon.

Multiply 3 29 by 20.

20×3.29= 65.8

So he would spend $65.80

5 0
3 years ago
Read 2 more answers
The vertex of this parabola is (2,-1). When the y value is 0, the x value is 5. What is the coefficient of the squared term in t
Schach [20]
Vertex form: y = a(x - h)² + k
h = 2
k = -1
y = 0
x = 5

0 = a(5 - 2)² - 1
0 = 9a - 1
a = 1/9
5 0
3 years ago
You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar
Verizon [17]

Answer:

Length=10.5\ ft

Width=10.5\ ft

Area=110.25\ ft^{2}

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

P=2(x+y)

we have

P=42\ ft

so

42=2(x+y)

simplify

21=(x+y)

y=21-x------> equation A

Remember that the area of rectangle is equal to

A=xy ----> equation B

substitute equation A in equation B

A=x(21-x)

A=21x-x^{2}----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point (10.5,110.25)

see the attached figure

so

x=10.5\ ft

Find the value of y

y=21-10.5=10.5\ ft

The garden is a square

the area is equal to

A=(10.5)(10.5)=110.25\ ft^{2} ----> is equal to the y-coordinate of the vertex is correct

6 0
3 years ago
4.06 Question 9
Jlenok [28]

Answer: B. Graph of 2 lines that intersect at one point. Both lines are solid. One line passes through (-2,2) and (0,3) and is shaded below the line.

y < = 1/2x + 3...(-2,2)                y < = 1/2x + 3....(0,3)

2 < = 1/2(-2) + 3                        3 < = 1/2(0) + 3

2 < = -1 + 3                                3 < = 0 + 3

2 < = 2 (correct)                        3 < = 3 (correct)

The other line passes through points (0,1) and (1,-2) and is shaded above the line.

y > = -3x + 1...(0,1)            y > = -3x + 1...(1,-2)

1 > = -3(0) + 1                   -2 > = -3(1) + 1

1 > = 0 + 1                         -2 > = -3 + 1

1 > = 1 (correct)                 -2 > = -2 (correct)

4 0
2 years ago
Read 2 more answers
On Team C, 82.5% of the football players weigh more than 200 pounds. If 40 men are on the team, how many weigh more than 200 pou
Setler79 [48]
You just do 40 times 0.825 and you will get your answer. 
4 0
3 years ago
Read 2 more answers
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