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3 years ago

FIRST TO ANSWER GETS BRAINLY Subtract and reduce to lowest terms:4 and 1/7 minuse 2 and 4/7

Mathematics

1 answer:

yan [13]3 years ago

7 0

Answer:

It is 1 4/7

Step-by-step explanation:

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Use the completing the square method to find the roots of 2x^2+3x-15=13 include the steps, it would be greatly appreciated thank

Monica [59]

Answer:

The roots are

$x1= \frac{-3+\sqrt{233}}{4}$

$x2= \frac{-3-\sqrt{233}}{4}$

Step-by-step explanation:

we have

$2x^{2}+3x-15=13$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$2x^{2}+3x=13+15$

$2x^{2}+3x=28$

Factor the leading coefficient

$2(x^{2}+(3/2)x)=28$

Complete the square. Remember to balance the equation by adding the same constants to each side

$2(x^{2}+(3/2)x+(9/16))=28+(9/8)$

$2(x^{2}+(3/2)x+(9/16))=233/8$

$(x^{2}+(3/2)x+(9/16))=233/16$

Rewrite as perfect squares

$(x+(3/4))^{2}=233/16$

square root both sides

$(x+\frac{3}{4})=(+/-)\sqrt{\frac{233}{16}}\\ \\(x+\frac{3}{4})=(+/-)\frac{\sqrt{233}}{4}\\ \\x= -\frac{3}{4}(+/-)\frac{\sqrt{233}}{4}$

$x1= -\frac{3}{4}(+)\frac{\sqrt{233}}{4}=\frac{-3+\sqrt{233}}{4}$

$x2= -\frac{3}{4}(-)\frac{\sqrt{233}}{4}=\frac{-3-\sqrt{233}}{4}$

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3 years ago

(6m4) (8m2) multiply

aev [14]

6 m^4 * 8 m^2
= 48 m^(4+2)
= 48m^6

4 0

3 years ago

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There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest meter, how many meters are in 437 in

lutik1710 [3]

Answer:

11.0998 = 11 meters

Step-by-step explanation:

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3 years ago

The square root of 9999.

Feliz [49]

Answer:

99.99499987

Step-by-step explanation:

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3 years ago

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Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54.

anastassius [24]

Let n = the number of nickels that Ari has.
Let p = the number of pennies that Ari has.

The total number of coins she has is 22.

n + p = 22

We have our first equation... But we another one to solve this.

Each penny is going to be $0.01 and a nickel is work $0.05.

And the total is $0.54

Our second equation. 0.05n + 0.01p = 0.54

n + p = 22
0.05n + 0.01p = 0.54

Multiply the top by -0.05

-0.05n - 0.05p = -1.1
0.05n + 0.01p = 0.54

The n terms cancel out.

-0.04p = -0.56

p = 14

Substitute p back into the top equation.

n + 14 = 22

n = 8

So, Ari has 8 nickels and 14 pennies.

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3 years ago

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