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pav-90 [236]
1 year ago
11

Evaluate the function when x=5 F(5)=?

Mathematics
1 answer:
kenny6666 [7]1 year ago
7 0

Step-by-step explanation:

When evaluating piecewise function, make sure the x value satisfies the function we use.

since 5>3, we use the second equations

That function is a constant function, this means at any x>3, exclusive, we will have a y value of -1.

So

f(5) =  - 1

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Find the factors of 9q²-45pq+8q-40p
Elina [12.6K]

Answer:

(x−5y)(9x+8)

Step-by-step explanation:

9x^2−45yx+8x−40y

Do the grouping 9x^2−45yx+8x−40y=(9x^2−45yx)+(8x−40y), and factor out 9x in the first and 8 in the second group.

9x(x−5y)+8(x−5y)

Factor out common term x−5y by using distributive property.

(x−5y)(9x+8)

5 0
3 years ago
A phone company charges $0.50 per minute and a connection fee of $1. If you were to represent the total cost y of an x minute ca
klasskru [66]

Answer:

Per minute value fee would be the slope of the line.

Step-by-step explanation:

Given:

Per minute charges by the phone company = $ 0.50

Connection fee (fixed) charged by company = $ 1.0

We have to represent the total cost in terms of y and also explain the slope of the line.

According to the question:

Let the number of minutes be "x" .

And the total cost charged be "y" .

So,

The total cost = (No. of minutes)(Per minute charge) + Connection fee

Re-arranging in term of x and y.

⇒ total\ cost = (no.\ of\ minutes)(per\ minute\ charge) + connection\ fee

⇒ y=0.50(x)+1   ...equation (i)

Slope- intercept form: y=m(x) +b  m is the slope and b is the y-is   intercept.

⇒ Comparing equation (i) with the slope- intercept form.

⇒ m=0.50  and  b=1

So,

The slope of the line is 0.50 which is also represented by the per minute value of the call.

Per minute value fee would be the slope of the line.

4 0
3 years ago
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width in units of the r
Genrish500 [490]

Answer:

width = 2 units

Step-by-step explanation:

If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.

the area of a rectangle is length * width

so just substitute the values that we have now.

x (length) * (x-4) width = 12 (area of rectangle)

so that gives us

x^2 - 4x =12

subtract 12 from both sides

x^2 - 4x - 12 =0

now factor this equation

x^2 + 2x - 6x -12 = 0

x(x+2) - 6(x+2) = 0

(x-6)(x+2) = 0

x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE

length = 6, and width = 6 -4 = 2

8 0
3 years ago
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A study is done to compare the fuel efficiency of cars. The first group of cars generally get about 36 miles per gallon. The sec
natta225 [31]

Answer:C

Step-by-step explanation:

5 0
2 years ago
Write a division equation you could use to find a, the number of miles ava is in charge of. What is the value of a? Write your a
emmainna [20.7K]

Answer:

Ava was in charge of clearing a 16 mile ratius along the parks sidewalk, after she finished, she was ordered to get the exact number of feet in each mile, she knew she cleared 84480 feet, how can she find a, the exact number of one mile?

Step-by-step explanation:

Ava had to clear 84480 feet, after she finished she had to find out the exact number of feet in a mile, she knew she had 5280 feet in a mile, so you have to divide 5280 to 84480

7 0
2 years ago
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