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blondinia [14]
3 years ago
14

HURRY! What is the volume of the prism?

Mathematics
2 answers:
lesya [120]3 years ago
8 0

Answer:

36

Step-by-step explanation:

defon3 years ago
3 0

Answer:

33 cm

Step-by-step explanation

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Write the quadratic equation that has roots -1-rt2/3 and -1+rt2/3 if its coefficient with x^2 is equal to 1
weeeeeb [17]

The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9

<h3>How to determine the quadratic equation?</h3>

From the question, the given parameters are:

Roots = (-1 - √2)/3 and (-1 + √2)/3

The quadratic equation is then calculated as

f(x) = The products of (x - roots)

Substitute the known values in the above equation

So, we have the following equation

f(x) = (x - \frac{-1-\sqrt{2}}{3})(x - \frac{-1+\sqrt{2}}{3})

This gives

f(x) = (x + \frac{1+\sqrt{2}}{3})(x + \frac{1-\sqrt{2}}{3})

Evaluate the products

f(x) = (x^2 + \frac{1+\sqrt{2}}{3}x + \frac{1-\sqrt{2}}{3}x + (\frac{1-\sqrt{2}}{3})(\frac{1+\sqrt{2}}{3})

Evaluate the like terms

f(x) = x^2 + \frac{2}{3}x - \frac{1}{9}

So, we have

f(x) = x²+ 2/3x - 1/9

Read more about quadratic equations at

brainly.com/question/1214333

#SPJ1

7 0
1 year ago
Suppose you are paid an annual salary, plus a bonus of 20% on annual sales over $500,000. Consider the two functions f(x) = x −
melisa1 [442]

Answer:

C. g\,\circ \, f (x) =g(f(x))

Step-by-step explanation:

Let be f(x) = x-500000 the excedent on annual sales and g(x) = 0.2\cdot x the bonus factor, to determine the bonus amount a composition of f(x) is g(x) must be done. That is:

g\,\circ \, f (x) =g(f(x))

Hence, the right answer is C.

7 0
3 years ago
PLEASE HELPPPPP PLEAAASEE
nata0808 [166]

Answer:

11%

Step-by-step explanation:

The full circle graph represents 100% of the given population. All populations are given except for "three or more." Adding all percentages of each population should add up to 100%.

No absences (none): 23%

One absence: 45%

Two absences: 21%

Three more absences: unknown.

Let the variable x represent the unknown population.

23% + 45% + 21% + x = 100%

Combine like terms.

89% + x = 100%

Subtract 89% from both sides.

x = 11%

To put it more simply, subtract all the percentages from 100% to get the percent of the missing population. 100 - 23 - 45 - 21 = 11

7 0
3 years ago
Read 2 more answers
Madison created two functions.
Degger [83]
Madison created two functions.For Function A, the value of y is two less than four times the value of x. 

The table below represents Function B.
-3,-9
-1,5
1,-1
3,3

In comparing the rates of change, which statement about Function A and Function B is true?

A.

Function A and Function B have the same rate of change.
B.

Function A has a greater rate of change than Function B has.
C.

Function A and Function B both have negative rates of change.
D.

Function A has a negative rate of change and Function B has a positive rate of change.

C is correct
3 0
3 years ago
Read 2 more answers
Find the value of the expression. 4 + 8 ÷ 2 – 1 <br> a.19<br> b.7<br> c.12<br> d.5
astraxan [27]

First Division, next Addition and Subtraction (left-to-right)

4 + 8 : 2 - 1 = 4 + 4 - 1 = 8 - 1 = 7

<h3>Answer: b. 7</h3>
6 0
3 years ago
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