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3 years ago

If a = 5, b = 4, and c = 7, find the value for 3(b + a) = c. 10 15 34 20

Mathematics

2 answers:

Debora [2.8K]3 years ago

7 0

Answer:

Step-by-step explanation:

3 (b + a) = c

3 (4 + 5) = 7

12 + 15 = 7

27 = 7

27 - 7

muminat3 years ago

4 0

$\huge\boxed{ \sf{Answer}}$

Given,

$a = 5 \\ b = 4 \\ c = 7$

And the equation we need to solve is,

$3(b + a) = c$

To find the answer, you need to substitute the values of a, b & c in the equation.

$3(b + a) = c \\ 3b + 3a = c \\ ( 3 \times 4) +( 3 \times 5) = 7 \\ 12 + 15 = 7 \\ 12 + 15 - 7 = 0 \\ = 27 - 7 \\ = 20$

↦ The answer is 20.

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꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

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3 years ago

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3 years ago

How do you simplify this expression?

alisha [4.7K]

Solve the terms in parentheses first. We'll start on the denominator.

The denominator has an exponent for a fraction that also includes exponents. To multiply exponents within parentheses that are raised to a power, use this rule:

$(x^a)^b = x^{a \cdot b}$

Simplify the denominator:

$(\frac{3^4}{7^3} )^2 = \frac{3^8}{7^6}$

Solve the fractions in the numerator:

$(\frac{3}{5})^5 = \frac{3^5}{5^5}$

$(\frac{9}{7})^2} = \frac{9^2}{7^2}$

The problem should now read:

$\frac{\frac{3^5}{5^5} \cdot \frac{9^2}{7^2}}{\frac{3^8}{7^6}}$

There is a denominator in a denominator. We can bring that to the numerator of the overall fraction:

$\frac{\frac{3^5}{5^5} \cdot \frac{9^2}{7^2}}{\frac{3^8}{7^6}} = \frac{\frac{3^5}{5^5} \cdot \frac{9^2}{7^2} \cdot {7^6}}{3^8}}$

Using a calculator, simplify the numerator:

$\frac{3^5}{5^5} \cdot \frac{9^2}{7^2} \cdot {7^6} = \frac{19683}{7}$

The fraction should now read:

$\frac{\frac{19683}{7}}{3^8}$

There is a denominator in the numerator. This can be brought down to the overall denominator:

$\frac{\frac{19683}{7}}{3^8} = \frac{19683}{3^8 \cdot 7}$

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$19683 = 3 \cdot3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 = 3^9$

$\frac{19683}{3^8 \cdot 7} = \frac{3^9}{3^8 \cdot 7}$

Simplify the exponents:

$\frac{3^9}{3^8} = 3$

The following fraction will be your answer:

$\boxed{\frac{3}{7}}$

8 0

3 years ago

Read 2 more answers

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

liq [111]

Answer:

The function has two real roots and crosses the x-axis in two places.

The solutions of the given function are

x = (-0.4495, 4.4495)

Step-by-step explanation:

The given quadratic equation is

$G(x) = -x^2 + 4x + 2$

A quadratic equation has always 2 solutions (roots) but the nature of solutions might be different depending upon the equation.

Recall that the general form of a quadratic equation is given by

$a^2 + bx + c$

Comparing the general form with the given quadratic equation, we get

$a = -1 \\\\b = 4\\\\c = 2$

The nature of the solutions can be found using

If $b^2- 4ac = 0$ then we get two real and equal solutions

If $b^2- 4ac > 0$ then we get two real and different solutions

If $b^2- 4ac < 0$ then we get two imaginary solutions

For the given case,

$b^2- 4ac \\\\(4)^2- 4(-1)(2) \\\\16 - (-8) \\\\16 + 8 \\\\24 \\\\$

Since 24 > 0

we got two real and different solutions which means that the function crosses the x-axis at two different places.

Therefore, the correct option is the last one.

The function has two real roots and crosses the x-axis in two places.

The solutions (roots) of the equation may be found by using the quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(4)\pm\sqrt{(4)^2-4(-1)(2)}}{2(-1)} \\\\x=\frac{-4\pm\sqrt{(16 - (-8)}}{-2} \\\\x=\frac{-4\pm\sqrt{(24}}{-2} \\\\x=\frac{-4\pm 4.899}{-2} \\\\x=\frac{-4 + 4.899}{-2} \: and \: x=\frac{-4 - 4.899}{-2}\\\\x= -0.4495 \: and \: x = 4.4495 \\\\$