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creativ13 [48]
2 years ago
10

Evaluate the expression when x=-4. X^2+5x+7

Mathematics
2 answers:
Naddik [55]2 years ago
8 0
<h3>Just put the value of x and calculate it.</h3>
alina1380 [7]2 years ago
5 0

Answer:

-29

= -16 + 5(-4) + 7

=16 - 20 + 7

=-29

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Solve for x.<br> logo(x-2) + log(x + 3) = 2
amid [387]

Answer:

x=-1-5√17/2

Step-by-step explanation:

logo((x-2)(x+2))=2

logo(x²+3x-2x-6)=2

x²+3x-2x-6=10²

x²+x-6=100

x²+x-106=0

x=-1+5√17/2

5 0
1 year ago
A bike rental company charges a fee per hour. The charge, in dollars, is the same each hour. The ordered pairs (3, 13.50) and (5
olchik [2.2K]

If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bike rental company charges a fee per hour.

The charge, in dollars, is the same each hour.

The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.

Then the linear equation is given as

\begin{aligned} \rm  y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x-  5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end

Then the rate of change of the function expressed as a unit rate will be

\rm \dfrac{dy}{dx}  = \dfrac{d}{dx} (4.5x )\\\\\dfrac{dy}{dx}  = 4.5

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

7 0
2 years ago
A simple random sample of size nequals40 is drawn from a population. The sample mean is found to be 103.9​, and the sample stand
yan [13]

Answer:

There is enough evidence to support the claim that the population mean is greater than 100

Step-by-step explanation:

<u>Step 1</u>: We state the hypothesis and identify the claim

H_0:\mu=100 and H_1:\mu \:>\:100 (claim)

<u>Step 2</u>: Calculate the test value.

t=\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }

\implies t=\frac{103.9-100}{\frac{21.9}{\sqrt{40} } }=1.1263

<u>Step 3</u>: Find the P-value. The p-value obtained from a calculator is using d.f=39 and test-value 1.126 is 0.134

<u>Step 4</u>: We fail to reject the null hypothesis since P-value  is greater that the alpha level. (0.134>0.05).

<u>Step 5</u>: There is enough evidence to support the claim that the population mean is greater than 100.

<u>Alternatively</u>: We could also calculate the critical value to obtain +1.685 for \alpha=0.05 and d.f=39 and compare to the test-value:

The critical value (1.685>1.126) falls in the non-rejection region. See attachment.

NB: The t- distribution must be used because the population standard deviation is not known.

5 0
3 years ago
A new car costs $8000 at full price. With a sales tax of 5.75%, how much will the car cost in total?​
ioda

Answer:

$8460

Step-by-step explanation:

So for this problem we will use the base price of $8000 and add the additional cost of the 5.75% to find the total cost for the car.

So, to find the 5.75%, we simply multiply 8000 by .0575 to get 460.

So 8000 + 460 = 8460.

Thus, the total price of the car would be $8460.

Cheers.

3 0
3 years ago
Read 2 more answers
Moses earns a gross salary of 10 500 per month. th basic monthly expenses used from the income are as follows ,housing expense 2
Art [367]

Answer:

$3780

Step-by-step explanation:

Salary per month = $10500

Expense on food

= 36% of the monthly salary

= 36% of $10500

= (36/100) × $10500

= 36 × $105

= $3780

So, they spend $3780 on food per month.

8 0
3 years ago
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