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3 years ago

What is (2x2 + 4x − 3)(x2 + 2) distributived ?

Mathematics

1 answer:

Effectus [21]3 years ago

6 0

Answer:

2x⁴ + 4x³ + x² + 8x - 6

Step-by-step explanation:

(2x² + 4x - 3)(x² + 2)

2(x² + 2) · x² + 4x(x² + 2) - 3(x² + 2)

2x⁴ + 4x² + 4x(x² + 2) - 3(x² + 2)

2x⁴ + 4x² + 4x³ + 8x - 3x² - 6

2x⁴ + x² + 4x³ + 8x - 6

2x⁴ + 4x³ + x² + 8x - 6

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Latoya's annual salary is $26,000. A total of $7352.24 will be deducted for taxes and health insurance. She will receive her pay

Anna71 [15]

Step-by-step explanation:

Lets translate this word problem into math.

"Latoya's annual salary is $26,000" = We start with the number 26,000

"A total of $7352.24 will be deducted for taxes and health insurance" = It's the number we started with "deducted" (minus) 7352.24

"She will receive her paycheck monthly in 12 equal installments" = Our number will be divided by 12

"How much will she get paid with each paycheck?" = "Find answer pls thx"

To put it all together...

$\frac{26,000-7,352.24}{12}$

Now all we have to do is solve!

$\frac{26,000-7,352.24}{12}$

Subtract.

$\frac{18,647.76}{12}$

Divide.

$1,553.98$

Answer:

Latoya will get paid $1,553.98 with each paycheck.

7 0

3 years ago

Karo-lina-s [1.5K]

3 + 8 = 12 and 8 + 3 = 12

4 0

3 years ago

Please help on this math problem

Arte-miy333 [17]

Answer:

1680 in^3

Step-by-step explanation:

SO you got the triangle

24*10=240

240/2=120

now we just need to find the area

There is a formula but I think this is easier

So theres a rectangle with a length of 14

So if you think of the triangle as the base, you just need 14 triangles stacked up to make up the volume

So 120*14=1680

So the volume is 1680

6 0

3 years ago

F(x)=3 over x+2-x-3 squared what is f(7)

dimaraw [331]

Answer:

$f(7)=\frac{-5}{3}$ or $f(7)=-1.67$

Step-by-step explanation:

We are given the following function of x and we are to find the value of $f ( 7 )$ :

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

Substituting the given value (7) in the above function to get:

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

$f ( 7 )= \ frac{3}{7+2}-\sqrt{7-3}$

$f(7) = \frac { 3 } { 9 } - \sqrt { 4 }$

$f(7)=\frac{1}{3}-2$

$f(7)=\frac{1}{3}-\frac{6}{3}$

$f(7)=\frac{-5}{3}$ or $f(7)=-1.67$

7 0

3 years ago

What is the base of a triangle that has a height of 6 centimeters and an area of 18 centimeters? Use the formula , where A repre

harina [27]

Answer:

The base of the triangle is 6cm.

Step-by-step explanation:

The find the base of a triangle, use this formula.

Formula : 1/2 x b x h

If you would like some more explanation, see the attached image.

5 0

3 years ago