Plzzz help me In direct variation, as y increases, x decreases. True or false?

Can somebody solve this: x^4+2x^3-25x^2-26x+120

Dafna11 [192]

Answer:

(x + 5) • (x + 3) • (x - 2) • (x - 4)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15

Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is 8 .

-15 + -1 = -16

-5 + -3 = -8

-3 + -5 = -8

-1 + -15 = -16

1 + 15 = 16

3 + 5 = 8 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 5

x2 + 3x + 5x + 15

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x+3)

Add up the last 2 terms, pulling out common factors :

5 • (x+3)

Step-5 : Add up the four terms of step 4 :

(x+5) • (x+3)

Which is the desired factorization

(x + 5) • (x + 3) • (x - 2) • (x - 4)

3 0

3 years ago

What is 8,980,000 in scientific notation

ziro4ka [17]

Answer: 8.98 × 10⁶

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4 0

4 years ago

15% of $9 is $______

Leona [35]

Answer:

$1.35

Step-by-step explanation:

multiply 9 by 15% which relates to .15. so 9×0.15 is $1.35

4 0

3 years ago

Read 2 more answers

The distance from Alison's house to the mailbox is 2/5 mile. The distance from the mailbox to the bus stop is 1/3 mile. What is

Yuri [45]

Answer:

Option B is correct

Step-by-step explanation:

Given

Distance from Alison's house to the mailbox = $\frac{2}{5}$ miles

Distance from the mailbox to the bus stop $\frac{1}{3}$ miles

The total distance between Alison's house to the bus stop is

$\frac{2}{5} + \frac{1}{3} \\\frac{6+5}{15} \\\frac{11}{15}$

Hence, option B is correct

7 0

3 years ago

Can u help me with my homework? thank you.

Dmitry_Shevchenko [17]

Answer:

x = 25

The lengths form a pythagorean triple

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Explanation:

Use the pythagorean theorem to get the following

$a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\\text{x} = \sqrt{15^2 + 20^2}\\\\\text{x} = \sqrt{225 + 400}\\\\\text{x} = \sqrt{625}\\\\\text{x} = 25\\\\$

Since we end up with a whole number, we do form a pythagorean triple of 15,20,25 or you can write it as 15-20-25

A pythagorean triple is where a,b,c are all integers that satisfy the pythagorean theorem above.

This is not a primitive pythagorean triple because we could divide all three values by the GCF 3 to get the triple 3-4-5. The keyword for this paragraph is "primitive".

3 0

2 years ago

Read 2 more answers

Plzzz help meIn direct variation, as y increases, x decreases.True or false?