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3 years ago

Solve for x: 1 over 4 (2x − 14) = 4. 15 15 over 2 9 11

2 answers:

4 0

$\frac{1}{4(2x-14)} = 4$

$1 = 4 * 4(2x-14)$

$1 = 4 * ( 8x - 56)$

$1 = 32x - 224$

$32x = 1 + 224$

$32x = 225$

x = $\frac{225}{32}$

x = 7.03125

zloy xaker [14]3 years ago

3 0

1/4(2x - 14) = 4....multiply both sides by 4
2x - 14 = 4 * 4
2x - 14 = 16
2x = 16 + 14
2x = 30
x = 30/2
x = 15 <==

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Is the point (3, -2) a solution to the following system of equations? How do you know?

iris [78.8K]

Answer:

YES

Step-by-step explanation:

Any straight line can be represented by an equation of the form

Y = mX + b

where m is the slope and b is the Y intercept, so these two equations are lines. The only solution is where the two lines cross, so must satisfy both equations. Plugging in 3 for X and -2 for Y we get

Y = -3X + 7

-2 = -3(3) + 7

-2 = -9 + 7

-2 = -2 True

AND,

Y = 2X - 8

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2 True

So since both are true, yes (3, -2) is the solution.

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3 years ago

Hannah was adding 5 plus -4. When explaining her work she said that the sum is 9 because you add the numbers and take the sign o

Scilla [17]

Answer:

The sum is 1

Step-by-step explanation:

When you add a negative number to a positive number, it is basically just subtracting the negative from the positive. To make it simple, 5 + -4 is just 5 - 4.

Hannah was wrong in saying you take the sign of the larger number because it would not matter if the first number was a million, the signs don't change based on the size of numbers.

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3 years ago

The graph of y=x^2 was transformed to Y= -(x+3)^2 +5. Describe all transformations applied to the original function and determin

mina [271]

Hey there!

1. The graph was flipped vertically and now opens downward.

We know this because there is a negative sign in front of the equation:

$y=$ $\boxed-$ $(x+3)^2+5$

2. The graph was moved 3 units to the left.

We know this because there is 3 added to x inside of the parenthesis. Remember, inside (parenthesis) is opposite and acts on x, outside (parenthesis) is same and acts on y.

$y=-(x\boxed{+3})^2+5$

3. The graph was moved 5 units up.

We know this because there is 5 added at the end of the equation. It acts on y because it is outside of the parenthesis.

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3 years ago

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Vinvika [58]

Answer: $4y^{2}(2x-9y)^{2}$

Step-by-step explanation:

We have the following polynomial:

$(4xy-18y^{2})^{2}$

This is a polynomial of the form $(a-b)^{2}=a^{2}-2ab+b^{2}$ . Following this rule to expand it, we have:

$(4xy)^{2}-2(4xy)(18y^{2})+(18y^{2})^{2}$

$16x^{2}y^{2}-144xy^{3}+324y^{4}$

Applying common factor $4y^{2}$ :

$4y^{2}(4x^{2}-36xy+81y^{2})$

Note the polynomial inside the parenthesis is a perfect square trinomial, which can be factored to $(2x-9y)^{2}$ . Hence, the final simplification is:

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3 years ago

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This is in my opinion. Im not sure if it is correct or not but Good luck!

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3 years ago