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Diano4ka-milaya [45]
3 years ago
7

Which of the following will result in a rational answer?

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

Answer:

multiplying a fraction by a repeating decimal

Step-by-step explanation:

any fraction is rational

any repeating decimal is rational

therefore, product of the two would be rational

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Solve the equation by using the quadratic formula.<br> 8x2 – 2x - 15 =0
ddd [48]

Answer:

x = 3/2 or x = -5/4

Step-by-step explanation:

Solve for x over the real numbers:

8 x^2 - 2 x - 15 = 0

Using the quadratic formula, solve for x.

x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:

x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16

Simplify radicals.

sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:

x = (2 + 22)/16 or x = (2 - 22)/16

Evaluate (2 + 22)/16.

(2 + 22)/16 = 24/16 = 3/2:

x = 3/2 or x = (2 - 22)/16

Evaluate (2 - 22)/16.

(2 - 22)/16 = -20/16 = -5/4:

Answer: x = 3/2 or x = -5/4

4 0
2 years ago
Calculate the distance between the points P=(-1, -1) and L=(6, -9) in the coordinate plane.
Over [174]

Answer:

≈ 10.63

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = P(- 1, - 1) and (x₂, y₂ ) = L(6, - 9)

d = \sqrt{(6-(-1))^2+(-9-(-1))^2}

   = \sqrt{(6+1)^2+(-9+1)^2}

   = \sqrt{7^2+(-8)^2}

   = \sqrt{49+64}

   = \sqrt{113} ≈ 10.63 ( to the nearest hundredth )

6 0
3 years ago
Convert 32 ounces to pounds
Triss [41]

Answer: 2 pounds

Step-by-step explanation: There are 16 ounces in one pound. So when you divide 32 by 16, you get 2. Therefore your answer would be 2 pounds!

4 0
3 years ago
Read 2 more answers
Help please :)
VashaNatasha [74]

Answer:

i think its the 3rd choice

Step-by-step explanation:

i say that bc maybe when u have to go to the right, u divide.

I forgot how u do this srry T-T..

Btw did ur acc get banned..?

Hope this helps

4 0
2 years ago
. Write the exponential function modeling an initial population of 67,000 and a relative growth rate of 1.7% per year. What popu
Vlada [557]

Answer:

In 37 years the population will be 125,012

Step-by-step explanation:

Giving the following information:

Initial population (PV)= 67,000

Growth rate (g)= 1.7%= 0.017

Number of years (n)= 37

<u>First, we will establish the future value (FV) formula:</u>

FV= PV*(1+i)^n

FV= 67,000*(1.017^n)

<u>Now, for 37 years:</u>

FV= 67,000*(1.017^37)

FV= 125,012

In 37 years the population will be 125,012

6 0
3 years ago
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