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3 years ago

Find 5x − 3y − z if x = −2, y = 2, and z = −3 Select one: a. −19 b. 19 c. 13 d. −13

Mathematics

1 answer:

NeTakaya3 years ago

7 0

Answer:

-13

Step-by-step explanation:

5x − 3y − z

substitute x = −2, y = 2, and z = −3

5(-2) -3(2) - (-3)

multiply

-10 -6 +3

-16 +3

-13

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The measure of angle BFE is 120°. Find M angle EFD.

Varvara68 [4.7K]

120 + 120 + X + X = 360
240 + 2X = 360
2X = 120
X = 60

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3 years ago

Find the average value of the function on the given interval.<br> f(x)=2 ln x; [1,e]

JulijaS [17]

Answer:

$f_{avg}=\frac{1}{e-1}$

Step-by-step explanation:

We are given that a function

$f(x)=2lnx$

We have to find the average value of function on the given interval [1,e]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{e-1}\int_{1}^{e}lnx dx$

By Parts integration formula

$\int(uv)dx=u\int vdx-\int(\frac{du}{dx}\int vdx)dx$

u=ln x and v=dx

Apply by parts integration

$f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))$

$f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})$

$f_{avg}=\frac{1}{e-1}(e-0-e+1)=\frac{1}{e-1}$

By using property lne=1,ln 1=0

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3 years ago

-24 + 2(w-9)<br> Show and explain work <br> (Distributive property)

Colt1911 [192]

Answer:

2w-42

Step-by-step explanation:

-24+2(w-9)

We need to distribute the 2 to the w-9 in the parentheses as per PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)

-24+2w - 18

Subtract -24 -18

2w - 42

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3 years ago

What is domain and range

4vir4ik [10]

Answer:

Domain is the values of x within the function and y is the values of y within the function. They are the defined values for x, and y respectively, where the function results in a function. For any function, the domain is the input value and the range is the output values.

Hope this helps :)

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3 years ago

The profit of a company earns every month depending on the amount of product sold,p, for$855 each in the amount spent on rent, u

worty [1.4K]

Answer:

Answer: 31,045.5

Step-by-step explanation-

Income: p*855

Expenses: 6780

Profit = Income - expenses = 855p - 6780 = 855*250 - 6780 = 213750 - 6780 = 206970

CEO's earn = 15% * 206970 = 0.15*206970 = 31,045.5

Answer: 31,045.5 I THINK THIS IS RIGHT BUT NOT SURE

7 0

3 years ago

Read 2 more answers