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3 years ago

Please help me with this homework please

Mathematics

1 answer:

Rom4ik [11]3 years ago

5 0

Answer:

Step-by-step explanation:

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X^2 -25 =0. Factor and use the zero product property to solve.

Gwar [14]

X^2 - 25 is a difference of squares which has a special factorization.

In general, a^2 - b^2 = (a + b)(a - b)

x^2 - 25 = 0

(x + 5)(x - 5) = 0

x + 5 = 0 or x - 5 = 0

x = -5 or x = 5

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3 years ago

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Given the graph of the pre-image and image, identify the correct<br> coordinate transformation.

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The preimage was shifted to the image by a translation 2 units right and 2 units up, so the answer is $(x,y) \longrightarrow (x+2, y+2)$

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1 year ago

Write the explicit formula for the geometric sequence.<br><br> 2, 8, 32, 128, ...

miv72 [106K]

The answer is to the geometric sequence is 512

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3 years ago

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When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

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

If you plug the values from your equation, you have

$x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}$

So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

$x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24$

But we know that x is positive, so we only accept the solution $x = 27$

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3 years ago

Victor has 861 marbles he’s putting into bags with twenty five in each bag. How many marbles will have in the bag that isn’t ful

Rashid [163]

11 since you’d divide 861 by 25, but you’d still not get a whole number so you’d get that as a remainder. then you’d divide .44 by 25 and get 11, cause there was 25 marbles in each bag.

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3 years ago