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3 years ago

4x^2 + 8x - 11x + 6 - 5x^2 + 2 Please simplify the polynamial

1 answer:

4 0

You have to combine the like terms, so:
4x^2 - 5x^2 = -x^2
8x - 11x = -3x
6 + 2 = 8
Your final answer is -x^2 - 3x + 8, I hope this helps!

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How many times larger is 4x10^7 than 5x10^5

irina1246 [14]

Answer:

8 times larger

Step-by-step explanation:

4 · $10^{7}$ = 4 · 10 · 10 · 10 · 10 · 10 · 10 · 10

4 · 100 · 100 · 100 · 10

400 · 10000 · 10

= 40000000

5 · $10^{5}$ = 5 · 10 · 10 · 10 · 10 · 10

50 · 100 · 100 · 10

5000 · 1000

= 5000000

40000000 ÷ 5000000 = 8

5 0

3 years ago

Explain how to translate the phrase into an algebraic expression.

ASHA 777 [7]

Hey there.. I will be more than happy to help you today.. :)

A Number squared decreased by ten

We will do this with steps:-

Step 1 - "A number ". So, Let's say any number be x

Step 2 - "A number squared". Our number x is squared i.e. x²

Step 3 - "A number squared" ( i.e. x² ) is decreased by ten
x² - 10

This is your answer.
Hope this helps you :)

4 0

3 years ago

Read 2 more answers

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

Vlad [161]

Answer

$P(A) = 0.30$

$P(B) = 0.77$

$P(A\ n\ B) = 0.22$

$P(A\ u\ B) = 0.85$

Explanation:

Given

See attachment for proper data presentation

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

Here:

$Yes = 22$ and $No = 8$

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

$P(A) = 0.30$

Solving (b): P(B)

We only consider data in the Yes column.

Here:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

$P(B) = 0.77$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

i.e. [Supplier 1][Yes]

This is represented as: n(A n B)

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ n\ B) = 0.22$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

$P(A\ u\ B) = 0.85$

7 0

3 years ago

Which set of sides would make a right angle?

Lynna [10]

The answer is 5,12,13 as when you plug these into the Pythagorean theorem :
5^2 + 12^2 = 13^2
25 + 144 = 169
13^2 = 169
Hope this helps :)

7 0

3 years ago

Read 2 more answers

Hey please help show work fast

Stella [2.4K]

Answer:

No solution

Step-by-step explanation:

Because BDC is 20, and DC = DB, DBC is also 20 degrees. ABD would then be 160 since DBC and ABD has to equal 180. You know ADB is 35 so 160 + 25 + x has to equal 180. But 160 + 25 is already 185, and x can't be negative, so no solution.

6 0

3 years ago