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Anastaziya [24]
2 years ago
12

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.

Mathematics
2 answers:
olasank [31]2 years ago
5 0
K is equal to 4 because g(x) is a parrallel line to f(x)
lord [1]2 years ago
3 0

Answer:

K is equal to 4 because g(x) is a parrallel line to f(x)

Step-by-step explanation:


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The maximum recommended slope of wheelchair ramp is 1/12. A business installs a wheelchair ramp that rises 22inches over a horiz
Olin [163]

Given parameters:

Recommend wheelchari ramp slope  = \frac{1}{12}  

Rise of the new wheel chair ramp  = 22 inches

Horizontal length  = 24feet

Unknown:

Is the ramp steeper than the recommended  = ?

Slope is the ratio of rise to the horizontal distance covered

 Mathematically;

                 Slope = \frac{Rise}{horizontal distance}

Slope of the wheel chair ramp;

                covert 24 feet to inches;

        1 foot = 12 inches

        24 feet  = 24 x `12  = 288inches

Slope  = \frac{22}{288 }   = \frac{11}{144}

The two slopes being compared are;

               \frac{1}{12}  and \frac{11}{144}

The steeper of the first one 1/12. It has a higher slope compared to the second one.

4 0
2 years ago
1. Three friends pooled their money to purchase a new game system that costs $298. One person
iragen [17]

Answer:

First person: $107

Second person: $98

Third person: $93

Step-by-step explanation:

Let be "f" the amount of money (in dollars) that the first person contributed to the purchase, "s" the amount of money (in dollars) that the second person contributed to the purchase and "t" the amount of money (in dollars) that the third person contributed to the purchase.

With the information given in the exercise, you can set up the following equations:

Equation 1 → f+s+t=298

Equation 2 → s=f-9

Equation 3 → t=f-14

Substitute the Equations 2 and 3 into the Equation 1 and then solve for "f":

f+(f-9)+(f-14)=298\\\\3f-23=298\\\\f=\frac{321}{3}\\\\f=107

Finally, substitute the value of "f" into the Equation 2 and then into the Equation 3, in order to find the values of "s" and "t".

Therefore, you get:

s=107-9\\\\s=98\\\\\\t=107-14\\\\t=93

5 0
2 years ago
Customers can pick their own apples at the happy apple farm. they pay $6 to enter the farm and $3.50 per pound for the apples th
Amanda [17]
Y = 3.5x + 6

Shows the 6 inital fee plus the 3.50 for each pound
4 0
2 years ago
Read 2 more answers
Given ​ f(x)=x^2+12x+26 ​.
lapo4ka [179]

f(x)=x^2+12x+26

Vertex form of f(x) = a(x-h)^2 +k

We change f(x) into vertex form using completing the square method

f(x)=x^2+12x+26

We take half of square of middle term

middle term is 12

Half of square of 12 is \frac{12}{2}=6 then 6^2 = 36

Add and subtract 36 to complete the square

f(x)=(x^2+12x+36)+26-36

f(x)= (x+6)^2 +26 - 36 f(x)= (x+6)^2 -10

The vertex form f(x)= (x+6)^2 -10

6 0
1 year ago
Solve for x:<br> 3(5x + 10) + 10 = 6x - (x + 10)
34kurt

Answer:

x= -5

Step-by-step explanation:

3(5x+10)+10=6x-(x+10)

15x+30+10=6x-x-10

15x+40=5x-10

15x-5x=-10-40

10x=-50

x=-5

8 0
1 year ago
Read 2 more answers
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