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KIM [24]
3 years ago
12

Evaluate the function f(x) at the given numbers (correct to six decimal places). f(x) = x2 − 9x x2 − 8x − 9 , x = 0, −0.5, −0.9,

−0.95, −0.99, −0.999, −2, −1.5, −1.1, −1.01, −1.001

Mathematics
1 answer:
Lilit [14]3 years ago
6 0

Answer:

See the attachment. (All results are integers, so are correct to 6 decimal places.)

Step-by-step explanation:

The function simplifies to ...

... f(x) = x(x-9)/((x+1)(x-9))

... f(x) = x/(x+1) . . . for x ≠ 9

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Find the equation of the line.<br> Use exact numbers.<br> y=
Sergio039 [100]

Answer:

y = 2x+4

Step-by-step explanation:

First we need to find the slope using two points

(-2,0) and (0,4)

m = (y2-y1)/(x2-x1)

m = (4-0)/(0--2)

   = 4/+2

   = 2

we have the y intercept  which is 4

Using the slope intercept form of the line

y = mx+b where m is the slope and b is the y intercept

y = 2x+4

8 0
3 years ago
To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the a
Goshia [24]

Answer:

480 milligrams

Step-by-step explanation:

92 pounds → 320 milligrams

138 pounds → 320/92 x 138 = 480 milligrams

6 0
3 years ago
5 more than the quotient of a number and 8 is 42
Zepler [3.9K]

Answer:

<u>The number is 296.</u>

Step-by-step explanation:

Let's call "x" to the number we are looking for.

Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:

\frac{x}{8}+5=42. Let's solve the equation to find x.

1. Write the expression.

\frac{x}{8}+5=42

2. Substract 5 from both sides and simplify.

\frac{x}{8}+5-5=42-5\\\\\frac{x}{8}=37\\\\

3. Multiply 8 on both sides and simplify.

8*\frac{x}{8}=37*8\\\\x=296

<u>We have found our number, it's 296!</u>

3 0
2 years ago
Read 2 more answers
I nEED HELP PLEASE!! ILL GIVE BRAINLIEST!!!!
mezya [45]

Answer:

the answer is D

Step-by-step explanation:

hiii

4 0
3 years ago
2. Jessica's financial advisor believes that she should spend no more than 28% of her gross monthly income for housing. She has
scoray [572]

Jessica's annual salary is $68571.43.

Data;

  • percentage saved for housing = 28%
  • amount saved annually = $1600

<h3>Percentage</h3>

This is the ratio of a number to the entire value and multiplied by 100

The percentage set aside for housing is given as 28% which is $1600.

Let find 28% of x which is equal to 1600

\frac{28}{100} = \frac{1600}{x}

cross multiply both sides and solve for x

\frac{28}{100}  = \frac{1600}{x}\\ 28*x  = 100*1600\\28x = 160000\\

Divide both sides by the coefficient of x

\frac{28x}{28} = \frac{160000}{28}\\ x = 5714.28

Her monthly income is $5714.28.

Let's multiply this by 12 (months in a year) to determine her gross monthly income.

5714.28*12 = 68571.43

From the above calculations, Jessica's annual salary is $68571.43.

Learn more on percentage here;

brainly.com/question/25567167

3 0
3 years ago
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