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Marta_Voda [28]
3 years ago
12

Bryan has 86 more rubber bands than Hector. Hector has r rubber bands. Choose the expression that shows how many rubber bands Br

yan has.
Mathematics
2 answers:
aniked [119]3 years ago
8 0

Answer:

You FAILED to list any choices

Step-by-step explanation:

b = r + 86

Alik [6]3 years ago
8 0

Answer: r+86

Step-by-step explanation: You add the number of rubber bands Hector has (r) and 86 to get the amount Bryan has.

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jarptica [38.1K]

Answer:

Eight and Eight Thousandths

Step-by-step explanation:

6 0
3 years ago
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The quadratic equation 8x²+12x-14 has two real roots. What is the sum of the squares of these roots?
mars1129 [50]

Answer:

The real roots are

x=\frac{(-3+\sqrt{37})}{4} and x=\frac{(-3-\sqrt{37})}{4}

The sum of the squares of these roots is \frac{-3}{2}

Step-by-step explanation:

The given quadratic equation is 8x^2+12x-14 has two real roots.

To find the roots .

8x^2+12x-14=0

Dividing the above equation by 2

\frac{1}{2}(8x^2+12x-14)=\frac{0}{2}

4x^2+6x-7=0

For quadratic equation ax^2+bx+c=0 the solution is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Where a and b are coefficents of x^2 and x respectively, c is a constant.

For given quadratic equation

a=4, b=6, c=-7

x=\frac{-6\pm\sqrt{6^2-4(4)(-7)}}{2(4)}

=\frac{-6\pm\sqrt{36+112}}{8}

=\frac{-6\pm\sqrt{148}}{8}

=\frac{-6\pm\sqrt{37\times 4}}{8}

=\frac{-6\pm\sqrt{37}\times\sqrt{4}}{8}

=\frac{-6\pm\sqrt{37}\times 2}{8}

=2\frac{(-3\pm\sqrt{37})}{8}

=\frac{-3\pm\sqrt{37}}{4}

x=\frac{(-3\pm\sqrt{37})}{4}

The real roots are

x=\frac{(-3+\sqrt{37})}{4} and x=\frac{(-3-\sqrt{37})}{4}

Now to find the sum of the squares of these roots

\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3+\sqrt{37}-3-\sqrt{37}}{4}

=\frac{-6}{4}

=\frac{-3}{2}

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Therefore the sum of the squares of these roots is \frac{-3}{2}

3 0
3 years ago
-40 greater than or equal to 8b
viva [34]
- 40 ≥ 8 b

switch sides:

8b ≤ - 40

divide both sides by 8 :

8b / 8 = - 40/8

refine:

b ≤ - 40 / 8

b ≤ - 5

hope this helps!


7 0
3 years ago
Please help me with this math problem
professor190 [17]

Answer:

B

Step-by-step explanation:

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6 0
3 years ago
What is 40 x 40? Solve that!
jolli1 [7]

Answer: The answer is 1600.

Step-by-step explanation:

5 0
2 years ago
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