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3 years ago

5. What is the volume of the pyramid? *

Mathematics

1 answer:

rjkz [21]3 years ago

7 0

Step-by-step explanation:

jawabannya

336 in 3

cuma di kali kali

8×7×6=336

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Find a cubic function with the given zeros.

Fed [463]

Answer:

The correct option is D) $f(x) = x^3 + 2x^2 - 2x - 4$ .

Step-by-step explanation:

Consider the provided cubic function.

We need to find the equation having zeros: Square root of two, negative Square root of two, and -2.

A "zero" of a given function is an input value that produces an output of 0.

Substitute the value of zeros in the provided options to check.

Substitute x=-2 in $f(x) = x^3 + 2x^2 - 2x + 4$ .

$f(x) = x^3 + 2x^2 - 2x + 4\\f(x) = (-2)^3 + 2(-2)^2 - 2(-2) + 4\\f(x) =-8 + 2(4)+4 + 4\\f(x) =8$

Therefore, the option is incorrect.

Substitute x=-2 in $f(x) = x^3 + 2x^2 + 2x - 4$ .

$f(x) = x^3 + 2x^2 + 2x - 4\\f(x) = (-2)^3 + 2(-2)^2 + 2(-2) - 4\\f(x) =-8+2(4)-4-4\\f(x) =-8$

Therefore, the option is incorrect.

Substitute x=-2 in $f(x) = x^3 - 2x^2 - 2x - 4$ .

$f(x) = x^3 - 2x^2 - 2x - 4\\f(x) = (-2)^3 - 2(-2)^2 - 2(-2) - 4\\f(x) =-8-8+4-4\\f(x) =-16$

Therefore, the option is incorrect.

Substitute x=-2 in $f(x) = x^3 + 2x^2 - 2x - 4$ .

$f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (-2)^3+2(-2)^2 - 2(-2) - 4\\f(x) =-8+8+4-4\\f(x) =0$

Now check for other roots as well.

Substitute x=√2 in $f(x) = x^3 + 2x^2 - 2x - 4$ .

$f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (\sqrt{2})^3+2(\sqrt{2})^2 - 2(\sqrt{2}) - 4\\f(x) =2\sqrt{2}+4-2\sqrt{2}-4\\f(x) =0$

Substitute x=-√2 in $f(x) = x^3 + 2x^2 - 2x - 4$ .

$f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (-\sqrt{2})^3+2(-\sqrt{2})^2 - 2(-\sqrt{2}) - 4\\f(x) =-2\sqrt{2}+4+2\sqrt{2}-4\\f(x) =0$

Therefore, the option is correct.

8 0

3 years ago

What is the slope of the line through (- 1, - 7) and (3, 9) ?

Fynjy0 [20]

Answer:

C. 4

Step-by-step explanation:

Use the slope formula:

$m=\frac{y2}{x2} -\frac{y1}{x1}$

m = the slope.

Substitute the values into the formula:

$\frac{9}{3} -\frac{-7}{-1} =\frac{?}{?}$

Solve:

$\frac{9}{3} -\frac{-7}{-1} =\frac{16}{4}$

Simplify 16/4:

$\frac{16/4}{4/4} =\frac{4}{1}=4$

5 0

2 years ago

A car dealership paid $9,000 for a car. The sticker price is $10,395 for a customer to buy the car. a. What’s the markup in doll

Sladkaya [172]

Answer:

1) To determine how much the change of $9,000 to $10,395, we must subtract 9,000 from 10,395;

10,395 - 9,000 = $1,395 is the change in price (an increase).

Formula to find percentage of change;

Change in price/original amount x 100% (100/100)

Replace those values:

1,935 (change in price/increase) 100

_____ x _____ = %0.215

9,000(original amount) 100

7 0

2 years ago

HELPPPPPPP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

denpristay [2]

Answer:

answer is 9

Step-by-step explanation:

1st method: Proportion

15/100 = n/60

cross-multiply to get:

100n = 900

n = 900/100

n = 9

2nd method: Convert % to Decimal and Multiply

.15 × 60 = 9

8 0

3 years ago

For a party, Susan estimated there would be 14 people in attendance, but only 12 showed up. What was the percent error in her es

neonofarm [45]

Answer:

16.7% (rounded)

Step-by-step explanation:

Step 1. Make a proportion, which is 2/12 times x%/100

Step 2. Cross multiply = 2*100/12

Step 3. Solve = 16.(6) or, 16.7% rounded!

5 0

2 years ago

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