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2 years ago

BRAILEST + THANKS F(x)=x^2+14 and g(x)=x−8 Find (f+g)(−1)

Mathematics

1 answer:

Murrr4er [49]2 years ago

6 0

Answer:

Step-by-step explanation:

Disclaimer all solutions need to be verified by the student for accuracy in typos, algebra and calculations.

f(x) = x² + 14 g(x) = x - 2 -1 ? I think it means evaluate when x = -1

Find (f(x) + g(x)) when x = -1

(f(x) + g(x)) = [ ( x² + 14) + (x - 2)] insert f(x) and g(x)

= [ x² + x + 14 - 2] add like the term

(f(x) + g(x)) = x² + x + 12

(f(-1) + g(-1)) = (-1)² + (-1) + 12 evaluate at x = -1

= 1 - 1 + 12

= 12

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Problem PageQuestion Calcium levels in people are normally distributed with a mean of mg/dL and a standard deviation of mg/dL. I

SIZIF [17.4K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The calcium level that is the borderline between low calcium levels and those not considered low is $c = 8.68$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 9.5\ mg/dL$

The standard deviation $\sigma = 0.5 \ mg/dL$

The proportion of the population with low calcium level is $p =$ 5% = 0.05

Let X be a X random calcium level

Now the P(X < c) = 0.05

Here P denotes probability

c is population with calcium level at the borderline

Since the calcium level is normally distributed the z-value is evaluated as

$P(Z < \frac{c - \mu}{\sigma } ) = 0.05$

The critical value for 0.05 from the standard normal distribution table is

$t_{0.05} = -1.645$

=> $\frac{c - \mu}{\sigma } = -1.645$

substituting values

$\frac{c - 9.5}{0.5 } = -1.645$

=> $c - 9.5 = -0.8225$

=> $c = 8.68$

6 0

3 years ago

melania walked her dog 2 1 /5 miles. cqthy walked her dog 1 3/4 times as far as melania did. how many more miles did cathy walk

stira [4]

Let’s set this equation up to make this easier.

melanie= 2 1/5 miles walked
cathy= 1 3/4 more times than melanie.

when an equation says the word, more than this means adding. when it says less than this means subtraction. when it says times (in this question) then multiply.

so, if cathy walked 1 3/4 more times than melanie what we would do is multiply 1 3/4 to what melanie was walking. so 2 1/5 times 1 3/4 which equals 3.85.

so overall, cathy walked 3.85 more miles than melanie.

7 0

2 years ago

8[12x - 24] + 6 = -2

Paladinen [302]

Answer:

x=2.75

Step-by-step explanation:

The answer will be correct.

7 0

2 years ago

Solve the equation for y. 8x – 9y = 11

Vikentia [17]

8x - 9y = 11 (subtract 8x from each side)

- 9y = -8x + 11 (divide -9 from each side)

$\frac{-9y}{-9} = \frac{-8x+11}{-9}$

y = $\frac{-8}{-9} x - \frac{11}{9}$

D. $y=\frac{8}{9} x - \frac{11}{9}$

6 0

3 years ago

Use the distance formula d = rt to find the unknown value d = 405 mi t = 7.5 h

DochEvi [55]

Answer:

r = 54 miles per hour

Step-by-step explanation:

Since we have been given the values for two of the unknowns, we can substitute them into the equation to find the third.

d = 405

t = 7.5

d = rt

405 = r (7.5)

405=7.5r

Now to find r, we need to get it by itself on one side so we have r = ...

We can do this by dividing 7.5 from both sides of the equation as this will cancel out the 7.5, leaving us with the r value, and everything you do to one side of an equation must also be done to the other side.

405/7.5=7.5r/7.5

54=r

The unknown value 'r' = 54

Since 'r' stands for 'rate', the units given must be appropriate for speed. As the distance was given in miles, and the time in hours, the unit for 'r' must be miles/hour. Therefore r=54miles/hour.

Hope this helped!

4 0

3 years ago