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3 years ago

Need help with this problem.

Mathematics

1 answer:

Galina-37 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

To find this we must divide 45 by 20 which gives the answer of 2.25. As we know this we now must multiply that by 8 resulting in to 18.

Therefore the answer is 18

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Which are the solutions of x^2 = –11x + 4?

strojnjashka [21]

This is a quadratic equation, i.e. an equation involving a polynomial of degree 2. To solve them, you must rearrange them first, so that all terms are on the same side, so we get

$x^2 + 11x - 4 = 0$

i.e. now we're looking for the roots of the polynomial. To find them, we can use the following formula:

$x_{1,2} = \frac{-b\pm\sqrt{b^2-4ac}}{2}$

where $x_{1,2}$ is a compact way to indicate both solutions $x_1$ and $x_2$ , while $a,b,c$ are the coefficients of the quadratic equation, i.e. we consider the polynomial $ax^2+bx+c$ .

So, in your case, we have $a=1,\ \ b=11,\ \ c=-4$

Plug those values into the formula to get

$x_{1,2} = \frac{-11\pm\sqrt{121+16}}{2} = \frac{-11\pm\sqrt{137}}{2}$

So, the two solutions are

$x_1 = \frac{-11+\sqrt{137}}{2}$

$x_2 = \frac{-11-\sqrt{137}}{2}$

3 0

3 years ago

Factor the polynomial.<br><br> X2-13x+30

Svetllana [295]

Answer:

<h2> $\ \boxed{(x - 3)(x - 10)}$ </h2>

Step-by-step explanation:

${x}^{2} - 13x + 30$

Write -13x as a difference

${x}^{2} - 3x - 10x + 30$

Factor out x from the expression

$x(x - 3) - 10x + 30$

Factor out -10 from the expression

$x(x - 3) - 10(x - 3)$

Factor out x-3 from the expression

$(x - 3)(x - 10)$

Hope I helped!

Best regards!!

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3 years ago

Determine the answer to 3 + (-5) and explain the steps using a number line

Andreas93 [3]

Answer:

-2

Step-by-step explanation:

3 - 5 = -2

Place the dot on -2 on the number line that is on your problem as the answer. To show the steps on the number line, use your jumps to go back. For example, your starting point will be on 3, and then use your jumps to go back by 5; that means you go into the negatives. For this case, it is -2.

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3 years ago

Madeline has been working on a 500 piece puzzle. She has completed 0.65 of the puzzle.

Tju [1.3M]

I think so it is between 51~56%

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A contractor can pay his crew at most $250 a day. It costs $45 each day to operate the forklift and $60 a day for each crew memb

zzz [600]

The answer is B. His budget is $250 so it has to be less than or equal to. $60 a crew member (x = the crew members) and $45 to use the forklift, so $60x + $45 is less than or equal to $250

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3 years ago

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