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NikAS [45]
3 years ago
6

Find the linear function with the following properties. f(0)=−9 Slope of f=−8

Mathematics
1 answer:
Ratling [72]3 years ago
6 0

Answer:

  • f(x) = -8x - 9

Step-by-step explanation:

<h3>Given </h3>

<u>Function f, with </u>

  • f(0) = -9
  • Slope of f = -8
<h3>To find</h3>
  • Linear function
<h3>Solution</h3>

<u>Slope-intercept formula</u>

  • f(x) = mx + b
  • f(0) = -9 means y-intercept b = -9, and the slope is m = - 8

<u>So the function is</u>

  • f(x) = -8x - 9
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Answer:

x=-15

Step-by-step explanation:

after we reduce multiply we get -15

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3 years ago
It took bob 55min to clean the garage. How many seconds did it take bob.
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A newborn weighs 8 pounds, 5 ounces. There are 453.59 grams per pound. What is the infant's weight in grams?
Nadya [2.5K]
Convert from Oz and Lbs.

1 Pound = 453.59237 Grams

1 Ounce = 28.3495231 Grams

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I didn't know if you needed rounding - it was classified as college.

Hope this helped, and have a good day!





5 0
3 years ago
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than
-BARSIC- [3]

Answer:

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

Step-by-step explanation:

Complete question

A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.

1. What is the null hypothesis?

2. What is the alternative hypothesis?

Solution :

The null hypothesis is basically the problem statement that needs to be tested.

Alternate hypothesis is opposite of that of null hypothesis

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

7 0
3 years ago
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Josiah has punch c
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Let x be the number of weeks; therefore, the two linear equations are

\begin{gathered} T=2+7x \\ \text{and} \\ C=11+4x \end{gathered}

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.

Solving by substitution. Set T=C, then

\begin{gathered} T=C \\ \Rightarrow2+7x=11+4x \\ \Rightarrow3x=9 \\ \Rightarrow x=\frac{9}{3}=3 \\ \Rightarrow x=3 \end{gathered}

Thus, substitute the value of x=3 into the first equation,

\begin{gathered} x=3 \\ \Rightarrow T=2+7\cdot3=23 \\ \Rightarrow T=23 \end{gathered}

Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.

6 0
1 year ago
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