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Harlamova29_29 [7]
3 years ago
9

What is the value of k in the function f(x)=112-kx if f(-3)=121

Mathematics
2 answers:
Allisa [31]3 years ago
8 0
F(-3)=121=112-k(-3)

121=112+3k
minus 112 both sides
9=3k
divide by 3
k=3
Irina18 [472]3 years ago
6 0

Answer:  The required value of k is 3.

Step-by-step explanation:  We are given to find the value of k in the following function f(x) if f(-3)=121:

f(x)=112-kx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Substituting x = -3 in equation (i), we get

f(-3)=112-k\times(-3)\\\\\Rightarrow 121=112+3k\\\\\Rightarrow 3k=121-112\\\\\Rightarrow 3k=9\\\\\Rightarrow k=\dfrac{9}{3}\\\\\Rightarrow k=3.

Thus, the required value of k is 3.

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The pressure applied to a leverage bar varies inversely as the distance from the object. If 150 pounds is required for a distanc
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Answer:

500 pounds

Step-by-step explanation:

Let the pressure applied to the leverage bar be represented by p

Let the distance from the object be represented by d.

The pressure applied to a leverage bar varies inversely as the distance from the object.

Written mathematically, we have:

p \propto \dfrac{1}{d}

Introducing the constant of proportionality

p = \dfrac{k}{d}

If 150 pounds is required for a distance of 10 inches from the object

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150 = \dfrac{k}{10}\\\\k=1500

Therefore, the relationship between p and d is:

p = \dfrac{1500}{d}

When d=3 Inches

p = \dfrac{1500}{3}\\\implies p=500$ pounds

The pressure applied when the distance is 3 inches is 500 pounds.

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Point K on the number line shows Kelvin's score after the first round of a quiz: In round 2, he lost 9 points. Which expression
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Complete question :

Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3

Answer: 3 + (−9) = −6, because −6 is 9 units to the left of 3

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Given the following :

Width of number line = - 10 to + 10

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