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2 years ago

Factor the trinomial completely. x^2-5x-24

1 answer:

4 0

The answer is: " (x − 8) (x + 3) " .
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" (x − 8) (x + 3) " are the factors of: " x² − 5x − 24 " .
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Explanation:
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Given: "x² − 5x − 24 " ; Factor this "trinomial" expression completely.

We notice the "-5x" and the "-24 .

What factors of "-24" add up to "-5" ?

-1 + 24 ? No.

-24 + 1 ? no.

-12 + 2 = -10? No.

12 + (-2) = 12 - 2 = 10 ? No.

-3 + 8 = 5 ? No.

-8 + 3 = -5 ? Yes!

So: " (x − 8) (x + 3) " are the factors of: " x² − 5x <span>− 24 " .
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Answer:

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2 years ago

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A card is drawn from a pack of 52 cards. Find the probability of drawing an ace given that it is diamond.4/521/132/134/13

ICE Princess25 [194]

Solution:

The probability of an event is expressed as

$P(event)=\frac{number\text{ of desired outcome}}{number\text{ of possible outcome}}$

In a pack of 52 cards, we have

$\begin{gathered} number\text{ of diamonds=13} \\ number\text{ of ace= 1} \end{gathered}$

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4 months ago

What are the x and y-intercepts of the line described by the equation?

tatuchka [14]

Answer: x=4.41 y= -7.35

Step-by-step explanation:

Pretty basic just graph them using Desmos...

Showing your work you would need to get x on one side then y on the other.

Because 3y is positive I personally like to use that one first. The inverse operation of 3y is divide so you divide 3y by 3 and the 3s cancel out. Divide -22.05 by 3 and you get -7.35. Which is your y value.

Finding X is a bit more difficult, you need to divide by -5 which is the obvious inverse operation. So, -22.05/-5 and you get 4.41. Which is your X value.

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2 years ago

HELP!!Part B What is the approximate volume of each slice that Hattie's grandma cut? (arc length of each slice is 3 in, vol. of

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The approximate volume of each slice will be 63.5 inch². The total cake is divided into the four cylindrical slice.

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It is defined as a three-dimensional space enclosed by an object or thing.

The volume of the slice is;

$\rm V = \pi r^2 h\\\\\ \rm 81 \pi = \pi \times (r)^2 \times 4 \\\\ r= 4.5 \ inch$

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Hence, the approximate volume of each slice will be 63.5 inch².

Learn more about the volume here:

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