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anygoal [31]
2 years ago
13

SOMEONE PLEASE HELP! Can someone show me how to work this out?

Mathematics
1 answer:
Vladimir [108]2 years ago
6 0

Answer:

2/(x+7)

Step-by-step explanation:

x²+5x-14 factors as (x-2)(x+7)

SO - multiply the fraction on the right by x+7 (both top and bottom)

Then both have the same denominator (x-2)(x+7), and the 1 becomes x+7.

Then you combine the fractions to make ((3x+3)-(x+7))/(x-2)(x+7).

This becomes (2x-4)/(x-2)(x+7).  

You can factor the 2 out of the numerator for 2(x-2).

You now have 2(x-2)/(x-2)(x+7)

The (x-2)’s cancel out and you are left with

2/(x+7)

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Answer:

N = -5

Step-by-step explanation:

Move the decimal point right until it is right after the first significant figure.

N = 5

But wait! It's a decimal so it has to be negative.

N = -5

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centroid of the triangle

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Satellite dishes are shaped like parabolas to optimally revive signals. The cross section of a satellite dish can be modeled by
Anna11 [10]

The cross section of the satellite dish is an illustration of a quadratic function

The quadratic function that models the cross-section is y = 1/6(x^2 - 9)

<h3>How to determie the equation of the cross-section?</h3>

The given parameters are:

Width = 6 feet

Depth = 1.5 feet

Express the width the sum of two equal numbers

Width = 3 + 3

The above means that, the equation of the cross section passes through the x-axis at:

x = -3 and 3

So, we have:

y = a(x - 3) * (x + 3)

Express as the difference of two squares

y = a(x^2 - 9)

The depth is 1.5.

This is represented as: (x,y) =(0,-1.5)

So, we have:

-1.5 = a(0^2 - 9)

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-1.5 = -9a

Divide both sides by -9

a = 1/6

Substitute 1/6 for a in y = a(x^2 - 9)

y = 1/6(x^2 - 9)

Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)

Read more about quadratic functions at:

brainly.com/question/1497716

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2 years ago
Use the periodic compound interest formula to solve.
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Answer:

$15,539.67

Step-by-step explanation:

Compound Interest Formula

\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • P = $11,000
  • r = 5.8% = 0.058
  • n = 4 (quarterly)
  • t = 6 years

Substitute the given values into the formula and solve for A:

\implies \sf A=11000\left(1+\frac{0.058}{4}\right)^{(4 \times 6)}

\implies \sf A=11000(1.0145)^{24}

\implies \sf A=15539.67451...

Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.

3 0
2 years ago
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