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3 years ago

14

Y = x2 + 5x - 14 in factored form need answe asap please

1 answer:

kompoz [17]3 years ago

6 0

Answer:

y = ( x-2)(x+7)

Step-by-step explanation:

y = x^2 + 5x - 14

What 2 numbers multiply to -14 and add to 5

-2 * 7 = -14

-2+7 = 5

y = ( x-2)(x+7)

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Find what equals to x and what equals to y

Nuetrik [128]

Answer:

x=15√2 y=90 degrees.

Step-by-step explanation:

Thanks to the Pythagorean Theorem we know that with any right triangle, A^2+B^2=C^2. In this case we can use 15^2+15^2=sqrt of 450. The square root of 450 is 15 times the square root of 2. Thus x=15√2. Now we need to find y. All angles in a triangle add up to 180 so if we have 45+45+y=180 then y=90.

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2 years ago

How do I calculate 5 percent of 60 using fractions

irinina [24]

60*5%=60*5/100=300/100=3
So the answer is 3

5 0

3 years ago

Read 2 more answers

What is the solution to -4(8-3x) >_6x-8

rosijanka [135]

Answer:

x ≥4

Step-by-step explanation:

-4(8-3x) ≥6x-8

Distribute

-32+12x ≥6x-8

Subtract 6x from each side

-32+12x-6x ≥6x-6x-8

-32+6x ≥-8

Add 32 from each side

-32+32 +6x ≥-8+32

6x ≥ 24

Divide each side by 6

6x/6 ≥24/6

x ≥4

5 0

3 years ago

The adult weighs 84.09 kg. Calculate the adult’s weight in kilograms to pounds . Show work

pogonyaev

The adult weight in pounds is 185.39 lb

<u>Solution:</u>

Given that adult weighs 84.09 kilogram

To find : Adult’s weight in kilograms to pounds

We have the change the weight of the adult from kilogram to pound

The conversion between kilogram and pound is as follows:-

1 kilogram = 2.204623 lb

To find the adult weight in pound, we need to multiply the adult weight in kilogram by 2.204623

<em><u>Converting 84.09 kg to pound:</u></em>

$\begin{array}{l}{84.09 \mathrm{kg}=84.09 \times 1 \mathrm{kg}} \\\\ {84.09 .09 \times 2.204623=185.39 \mathrm{lb}}\end{array}$

Therefore the weight of the person in pound = 185.39 lb

4 0

3 years ago

4. A random variable X has a mean of 10 and a standard deviation of 3. If 2 is added to each value of X, what will the new mean

Ede4ka [16]

Adding 2 to each value of the random variable $X$ makes a new random variable $X+2$ . Its mean would be

$E[X+2]=E[X]+E[2]=E[X]+2$

since expectation is linear, and the expected value of a constant is that constant. $E[X]$ is the mean of $X$ , so the new mean would be

$E[X+2]=10+2=12$

The variance of a random variable $X$ is

$V[X]=E[X^2]-E[X]^2$

so the variance of $X+2$ would be

$V[X+2]=E[(X+2)^2]-E[X+2]^2$

We already know $E[X+2]=12$ , so simplifying above, we get

$V[X+2]=E[X^2+4X+4]-12^2$

$V[X+2]=E[X^2]+4E[X]+4-12^2$

$V[X+2]=(V[X]+E[X]^2)+4E[X]-140$

Standard deviation is the square root of variance, so $V[X]=3^2=9$ .

$\implies V[X+2]=(9+10^2)+4(10)-140=9$

so the standard deviation remains unchanged at 3.

NB: More generally, the variance of $aX+b$ for $a,b\in\mathbb R$ is

$V[aX+b]=a^2V[X]+b^2V[1]$

but the variance of a constant is 0. In this case, $a=1$ , so we're left with $V[X+2]=V[X]$ , as expected.

5 0

3 years ago