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1 year ago

Are the expressions 8a - 3b - (2a + 4b) and 6a + b equivalent?

Mathematics

1 answer:

Margaret [11]1 year ago

3 0

Answer:

No.

Step-by-step explanation:

Let's start by simplifying the first expression:

$8a-3b-(2a+4b)$

Remove the parentheses:

$8a-3b-(2a)-(4b)\\8a-3b-2a-4b$

Combine like terms:

$8a-2a-3b-4b\\6a-7b$

$6a-7b\neq 6a+b$ (Assuming that none of the variables are equivalent to 0)

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3 years ago

A parabola passes through (7, 42) and has a vertex at (-2, 6). What is the value of a?

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2 years ago

Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator.

mart [117]

Answer:

$\dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}$ .

Step-by-step explanation:

The given expression is

$\dfrac{3y^{\frac{1}{4}}}{4x^{-\frac{2}{3}}y^{\frac{3}{2}}\cdot 3y^{\frac{1}{2}}}$

We need to simplify the expression such that answer should contain only positive exponents with no fractional exponents in the denominator.

Using properties of exponents, we get

$\dfrac{3}{4\cdot 3}\cdot \dfrac{y^{\frac{1}{4}}}{x^{-\frac{2}{3}}y^{\frac{3}{2}+\frac{1}{2}}}$ $[\because a^ma^n=a^{m+n}]$

$\dfrac{1}{4}\cdot \dfrac{y^{\frac{1}{4}}}{x^{-\frac{2}{3}}y^{2}}$

$\dfrac{1}{4}\cdot \dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{y^{2}}$ $[\because a^{-n}=\dfrac{1}{a^n}]$

$\dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}$

We can not simplify further because on further simplification we get negative exponents in numerator or fractional exponents in the denominator.

Therefore, the required expression is $\dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}$ .

5 0

3 years ago

Imagine that * represents a new operation so that a * b means to double a, and then add b. For example, 2 * 10 = 14. What is -3

Rudik [331]

Answer:

C 2

Step-by-step explanation:

-3 doubled = -6

-6 +8 = 2 so C 2

4 0

3 years ago

Read 2 more answers

1/2 (5-7x) = 8- 4x+6

Andre45 [30]

1/2(5-7x)=8-4x+6
-7/2x+5/2=-4x+14                       Simplify both sides
1/2x+5/2=14                               Add 4x to both sides
1/2x=23/3                                   Subtract 5/2 on both sides
2*(1/2x)=2*(23/2)                       Multiply both sides by 2
x=23 - Final Answer

                                             Cheers, Irys

7 0

2 years ago