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emmasim [6.3K]
3 years ago
7

Select the correct answer. What is the factored form of this quadratic trinomial? x2 − x − 42 A. (x + 14)(x − 3) B. (x − 6)(x +

7) C. (x + 6)(x − 7) D. (x − 14)(x + 3)
Mathematics
1 answer:
Phantasy [73]3 years ago
5 0
The answer is a!!!!!!!!!!!!
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If $x$, $y$, and $z$ are positive integers such that $6xyz+30xy+21xz+2yz+105x+10y+7z=812$, find $x+y+z$.
harina [27]

Answer:

10

Step-by-step explanation:

When we simplify we get $$z(6xy+21x+2y+7)+30xy+105x+10y=812.$$

Then we continue to factor to get: (z+5)(6xy+21x+2y+7)&=847.

We then see that we can factor (6xy+21x+2y+7) into (z+5)(3x+1)(2y+7)&=847.

we then do the prime factorization of 847, which i think is,  7*11*11. we have to find the numbers that multiply to 847 and then plug them into z+5, 3x=1,2y+7.

It has to be a positive, non-negative integer, right?

We also see that 3x+1=11 so we see that x=10/3 (which wont work).

So 3x+1=7, so x=2.

So 11 has to be in another term. It has to be in 2y+7=11 so y=2

for the last term we get z+5=11 so z=6

2+2+6=10

Hope this helps and if you want please consider giving me brainliest. :)

8 0
4 years ago
Factor by grouping,<br>Factor each completely<br>1) 8x^3 + 10x² + 20x + 25​
Semenov [28]
2x^2(4x+5) + 5(4x+5)
(2x^2+5(4x+5)
6 0
3 years ago
Read 2 more answers
The table shows the price for shoe rental, games, and snacks at the bowling alley
monitta
First, find the total price she would have had to pay (without tax):
2.75+ 3(2.5)+ 1.75=12
If she has half-price multiply the total price by 0.5:
12(.5)=6
Her total price without tax is $6.

The answer is B) $6.00
Hope I helped...
6 0
4 years ago
The vertices of quadrilateral MNPQ are M(−3,−2),N(−1,4),P(2,4), and Q(4,−2). Translate quadrilateral MNPQ using the vector ⟨3,−4
muminat

Answer:

see explanation

Step-by-step explanation:

A translation using the vector < 3, - 4 > , means

Add 3 to the x- coordinate and subtract 4 from the y- coordinate, so

M (- 3, - 2 ) → M' (- 3 + 3, - 2 - 4 ) → M' (0, - 6 )

N (- 1, 4 ) → N' (- 1 + 3, 4 - 4 ) → N' (2, 0 )

P (2, 4 ) → P' (2 + 3, 4 - 4 ) → P' (5, 0 )

Q (4, - 2 ) → Q' (4 + 3, - 2 - 4 ) → (7, - 6 )

4 0
3 years ago
Following triangles are similar
oksian1 [2.3K]

Answer:

40m

Step-by-step explanation:

0.2/1=8/x

cross multiply

8*1=0.2x

8=0.2x

8/0.2=x

x=40

3 0
3 years ago
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