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3 years ago

Which algebraic expression is equivalent to the expression below? 6x+15y A. 3(2x - 5y) B. 3(5x - 2y) C. 3(2x + 5y) D. 3(5x + 2y)

Mathematics

1 answer:

Marina CMI [18]3 years ago

3 0

Answer:

C. 3(2x + 5y) is the algebraic expression equivalent to the expression

Step-by-step explanation:

From the question, the given expression is 6x + 15y.

Factorizing this expression gives 3(2x + 5y). Hence, the algebraic expression equivalent to the expression 6x + 15y is 3(2x + 5y). (Option C).

Checking the remaining options

A. 3(2x - 5y)

Expanding this gives 6x - 15y. It is not equivalent to the given expression

B. 3(5x - 2y)

Expanding this gives 15x - 6y. It is not equivalent to the given expression

D. 3(5x + 2y)

Expanding this gives 15x + 3y. It is not equivalent to the given expression.

Hence, C. 3(2x + 5y) is the algebraic expression equivalent to the expression.

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Solve for all possible values of x. square root of the quantity x minus 8 end quantity minus 3 equals 1

Digiron [165]

Answer:

x = 24

Step-by-step explanation:

In a radical equation it is critical to start by isolating the root that contains the unknown on one side of the equal sign, so we do such by adding 3 to both sides:

$\sqrt{x-8} -3 = 1\\\sqrt{x-8} -3+3 = 1+3\\\sqrt{x-8} = 4$

Next we square both sides of the equation to free the unlnown from the square root:

$(\sqrt{x-8})^2 = (4)^2\\x-8=16\\x=16+8\\x=24$

We found x by adding 8 on both sides. Therefore x=24.

One can check the answer by replacing x by 24 in the original equation.

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3 years ago

Read 2 more answers

Can someone please show me how 19169000*e^(0.15)= 222712201 When e= 2.7182818284?

Ierofanga [76]

Answer:

It doesn't. x = 22 271 201

Step-by-step explanation:

You are going to need a calculator no matter how you do it.

$x =19 169 000 \times e^{0.15}$

(a) The direct method

$x = 19 169 000\times 2.718 281 828^{0.15} = 19 169 000 \times 1.161 834 243 = 22 271 201$

(b) The indirect method

$\ln \left (19 169 000\times 2.718 281 828^{0.15} \right ) = \ln(19 169 000) + 0.15 = 16.768 805 + 0.15 = 16.918 804\\\\e^{16.918 804} = 22 271 201$

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3 years ago

................................................................................................................................

Romashka [77]

Answer: second option

Step-by-step explanation: To solve this problem, we will need to plug in the value of “x” into our equation to see if it makes sense.

Let’s start by going in order.

-4.9 = -5.7 + 10.6 = 4.9

This will not be the answer because it’s positive 4.9 not negative.

Let’s go on to the last one. If we add positive 0.8 to negative 5.7 we will get the answer of -4.9 and this makes sense.

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4 years ago

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Which equation represents a line that passes through (-2, 4) and has a slope of 1/2?

jok3333 [9.3K]

Answer:

$\large\boxed{y-4=\dfrac{1}{2}(x+2)\text{- point-slope form}}\\\boxed{y=\dfrac{1}{2}x+5\text{- slope-intercept form}}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We have the slope $m=\dfrac{1}{2}$ and the point $(-2, 4)$ .

Substitute:

$y-4=\dfrac{1}{2}(x-(-2))$

$y-4=\dfrac{1}{2}(x+2)$ - point-slope form

Convert to the slope-intercept form (y = mx + b):

$y-4=\dfrac{1}{2}(x+2)$ use the distributive property

$y-4=\dfrac{1}{2}x+1$ add 4 to both sides

$y=\dfrac{1}{2}x+5$ - slope-intercept form

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3 years ago

Alan has already baked 10 pies, and he can bake 2 pies with each additional cup of sugar

meriva

Answer:

42× 2= 84 pies

but if u need total, like including what he already had you add 10+84=94 pies

Step-by-step explanation:

so either 84 or 94 in total depending on what your question is asking you

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