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Sergeeva-Olga [200]
3 years ago
8

Expand and simply x(2x + 3) + 5( x - 7)​

Mathematics
1 answer:
zalisa [80]3 years ago
6 0

Answer:

2x² + 8x - 35

Step-by-step explanation:

x(2x + 3) + 5(x - 7) ← distribute both parenthesis

= 2x² + 3x + 5x - 35 ← collect like terms

= 2x² + 8x - 35

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Calculate the next 3 terms and write the formula for the nth term for the following sequences. 24,11,-2
Serjik [45]

Answer:

next 3 terms are -15, -28, -41. The formula would be n= (n-1)-13 to get the nth term

Step-by-step explanation:

4 0
3 years ago
If 8% of all cell phones are defective, and you have a random sample group of 100 Samsung Galaxy Vills,
Sati [7]

Answer:

Mean = 8

Variance = 7.36

Standard Deviation = 2.7129

Step-by-step explanation:

This is a binomial distribution with parameters, n and p.

Where

n is sample size (given as 100)

p is the probability of success, or probability of defective (given as 8% or 0.08)

The mean, variance, standard deviation formula for binomial distribution is shown below:

Mean = np

Variance = npq

Standard Deviation = \sqrt{npq}

Where q would be probability of failure, or "1 - p"

Thus,

n = 100

p = 0.08

q = 1 - 0.08 = 0.92

SO, we have:

Mean = np=100*0.08=8

Variance = npq=100*0.08*0.92 = 7.36

Standard Deviation = \sqrt{npq}=\sqrt{7.36}=2.7129

5 0
3 years ago
Four-ninths of the students at Edison Junior High School walk to school. If 248 students walk to school, how many students atten
Gekata [30.6K]

9514 1404 393

Answer:

  558

Step-by-step explanation:

Let p represent the student population at Edison Jr High. Then we know ...

  (4/9)p = 248 . . . . . 248 students is 4/9 of the student population

  p = 248(9/4) = 558 . . . multiply the equation by 9/4

558 students attend Edison Jr. High.

7 0
3 years ago
The following equation is given.
SashulF [63]

5x² - 9x + 45 = 0

Δ = b² - 4.a.c

Δ = (-9)² - 4 . 5 . 45

Δ = 81 - 4. 5 . 45

Δ = -819

There's no real root.

7 0
3 years ago
Convert into slope-intercept form: <img src="https://tex.z-dn.net/?f=y-1%3Dm%28x-3%29" id="TexFormula1" title="y-1=m(x-3)" alt="
aliina [53]

Answer:

y=2x-5

Step-by-step explanation:

First simplify: y-1=2x-6

y-1=2(x-3)

First simplify and distribute everything.

<u>y-1=2x-6</u>

So, x equals 2 because it got distributed into the numbers inside the parenthesis.  Same with the 2 and -3.  They multiplied to become -6.

Since it's y-1=2x-6, you can simplify it even more so the -1 goes to the other side and turns into positive 1.

<u>y - 1 (+ 1) = 2x -6 (+ 1)</u>

-1(+1)=0 which leaves just the variable y on the <em><u>left side</u></em>.

-6(+1)=-5 which leaves 2x-5 on the <em><u>right side</u></em>.

This results in y=2x-5.  Hope this helped ;)

6 0
3 years ago
Read 2 more answers
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