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3 years ago

The function h is defined by h(x)=b−9÷x, where b is a constant. Find b, if the graph of h passes through the point (−6,19).

Mathematics

1 answer:

padilas [110]3 years ago

4 0

Answer:

h (x) = b - 9/x

At (-6 , 19) ,

h (x) = 19 , x = -6 ,

19 = b - (9/-6)

19 = b + 3/2

b = 35/2

Step-by-step explanation:

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2 years ago

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Solve the equation for x. the square root of the quantity x plus 4 end quantity minus 7 equals 1

HACTEHA [7]

Answer:

Step-by-step explanation:

I hope it helps :)

$\sqrt{x+4} -7=1\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\\sqrt{x+4}-7+7=1+7\\\sqrt{x+4}=8\\\mathrm{Square\:both\:sides}\\\left(\sqrt{x+4}\right)^2=8^2\\x+4=64\\x = 64-4\\x = 60$

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2 years ago

A red-light flashes every 28 seconds. A green light flashes every 24

Maslowich

Answer:

168 seconds

I edited the answer.

Step-by-step explanation:

To find the the time taken for both lights to flash at the same time, we need to find the lowest common multiple of 28 and 24.

28 x 6 = 168, 24 x 7 = 168

The LCM of 28 and 24 is 168.

So it takes 168 seconds for both lights to flash at the same time.

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2 years ago

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If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability that the card you select

kogti [31]

Answer:

12/52 = 1/4 chance.

Step-by-step explanation:

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3 years ago

Paisley has 8\tfrac{1}{4}8 4 1 cups of yogurt to make smoothies. Each smoothie uses \tfrac{11}{16} 16 11 cup of yogurt. How

Ivenika [448]

Given:

Total Yogurt = $8\dfrac{1}{4}$ cups

Yogurt required for each smoothie = $\dfrac{11}{16}$ cup

To find:

The number of smoothies that Paisley can make with the yogurt.

Solution:

We know that,

$\text{Number of smoothies}=\dfrac{\text{Total yogurt}}{\text{Yogurt required for each smoothie}}$

Substituting the given values, we get

$\text{Number of smoothies}=\dfrac{8\dfrac{1}{4}}{\dfrac{11}{16}}$

$\text{Number of smoothies}=8\dfrac{1}{4}\times \dfrac{16}{11}$

$\text{Number of smoothies}=\dfrac{32+1}{4}\times \dfrac{16}{11}$

$\text{Number of smoothies}=\dfrac{33}{4}\times \dfrac{16}{11}$

$\text{Number of smoothies}=3\times 4$

$\text{Number of smoothies}=12$

Therefore, the number of smoothies is 12.

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3 years ago