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Anton [14]
3 years ago
12

Factor the expression x^2-x-42

Mathematics
1 answer:
prohojiy [21]3 years ago
7 0
Yay! Quadratics!


-42 has two factors that sum up to -1. -7 and 6.

So then it becomes, (x-7)(x+6) 
Check it using FOIL.




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. Isabella buys a 1.75 litre carton of apple juice. What is the largest number of 200 millilitre glasses that she can have from
Free_Kalibri [48]

Answer:

<em>The largest number of glasses of juice Isabella can have from the carton is 8.</em>

Step-by-step explanation:

<u>Ratios</u>

Knowing the total capacity of the carton of apple juice Ct, and the capacity of each glass Co, we can calculate how many glasses can be taken from the carton by finding the ratio:

\displaystyle n=\frac{Ct}{Co}

There are 1,000 milliliters in one liter, thus the carton has a capacity of

C t= 1.75*1,000 = 1,750 milliliters

Thus,

\displaystyle n=\frac{1,750}{200}

n=8.75

Since we cannot have 8.75 glasses, we round to the previous integer, then:

The largest number of glasses of juice Isabella can have from the carton is 8.

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Vlada [557]

Answer:

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Step-by-step explanation:

7 0
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Jared has 12 more comic books than Zoe. If they have 28 comic books
ZanzabumX [31]

Answer:

20 comic books

Step-by-step explanation:

Let us first <u>set up a variable</u>, x, for the number of books that Zoe has. If Jared has 12 more comics than Zoe, he would have x+12 books.

Given that Zoe and Jared have a total of 28 comic books, let us write an <u>equation</u> and solve for x:

x+x+12=28\\2x+12=28

Now that we have a <u>simplified</u> version of the equation, let us solve for x by <u>isolating the variable</u> on the left side:

2x=28-12\\2x=16\\x=8

We now know that x=8, and also that Jared has x+12 books. To find the number of comic books Jared has, let us <u>add</u> 12 to x:

x+12=\\8+12=\\20\\

Therefore, Jared has 20 comic books.

<em>I hope this helps! Please let me know if you have any further questions :)</em>

4 0
3 years ago
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