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NikAS [45]
3 years ago
14

Given f(x) = 1/4 (5-x)^2 what is the value of f(11)

Mathematics
1 answer:
kupik [55]3 years ago
7 0

Answer:

9

Step-by-step explanation:

f(11) means that x = 11 (plug it in)

f(11) = 1/4(5-11)^2

      = 9

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What are the x- and y-intercepts of the graph of y = x2 + 3x − 10? (1 point)
Lynna [10]

Answer:

x-intercepts: (2, 0) and (−5, 0)  

y-intercept: (0, −10)

Step-by-step explanation:

y = x^2 + 3x − 10

y-intercept when x = 0 so y = -10, so y-intercept : (0, -10))

x-intercept when y = 0 so

x^2 + 3x − 10 = 0

(x +5)(x - 2) = 0

x + 5 = 0; x = -5

x - 2 = 0; x = 2

So x-intercepts: (-5, 0) and (2,0)

7 0
3 years ago
Lupe’s Construction is building a rectangular house that is 16 feet longer than it is wide. They will be putting a 3-foot wide s
mr Goodwill [35]

Answer:

The length of the four pieces of protective strip is 96 feet

Step-by-step explanation:

Let the w be the width of the rectangular house and L is length. Since L = w + 16, its perimeter P = 2(w + L)

= 2(w + w + 16)

= 2(2w + 16)

Since the perimeter of the house P = 136 feet,

136 = 2(2w + 16)

dividing through by 2, we have

136/2 = (2w + 16)

68 = (2w + 16)

collecting like terms, we have

68 - 16 = 2w

52 = 2w

dividing through by 2, we have

w = 52/2

w = 26 feet.

Now, since the side walk is 3 foot wide all around, the width of the house plus sidewalk = w + 3 and the length of the house plus sidewalk = L + 3 = w + 16 + 3 = w + 19.

So, the perimeter of the house plus sidewalk which is the perimeter of the four pieces of protective strip is P' = 2(w + 3 + w + 19)

= 2(w + 22)

= 2(26 + 22)

= 2(48)

= 96 feet

So, the length of the four pieces of protective strip is 96 feet.

5 0
3 years ago
There are 12 boys and 20 students. What is the ratio of girls to boys​
saw5 [17]
<h3>Answer: so 3 goes into 12 4 times and 5 times 4 is 20.   Step-by-step explanation: </h3>
8 0
3 years ago
A tank holds 1,000 gallons of syrup. Danielle filled 65 5-gallon cans with syrup. How much syrup was left in the tank when she f
Mrrafil [7]
65 times 5 is 325 then u take 1000 and minus 325 from it and end up with 675
5 0
3 years ago
Read 2 more answers
A small independent organic food store offers a variety of specialty coffees. To determine whether price has an impact on sales,
lorasvet [3.4K]

Answer:

b= -4.68

Step-by-step explanation:

Hello!

We have to study variables:

Y: Monthly coffe sales

X: Price per pound of coffe ($)

The estimate regression line is

^Yi= a + bxi ∀ (i=1,.....,10)

The slope of the estimated regression line is represented by b.

The formula I'll use to calculate it is:

b= [n∑xiyi -(∑xi)*(∑yi)]/ n∑xi²-(∑xi)²

To calculate b we need to do some auxiliary calculations:

∑xiyi= 4213.15

∑xi= 87.47

∑yi= 545

∑xi²= 883.3703

Then we replace the formula:

b= [10*4213.15-(87.47)*(545)]/ n883.3703-(87.47)²

b= -4.68

I hope you have a SUPER day!

5 0
3 years ago
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