Step-by-step explanation:
→ Option A
x² - 11x + 28
= (x - 7)(x - 4) ❎
→ Option B
x² - 6x + 8
= (x - 4)(x - 2) ❎
→ Option C
x² + 7x + 12
= <u>(x + 4)</u>(x + 3) ✔️
Find numbers that multiply to 28 and add them to see if they add to 8
28=
1 and 28=29 not 8
2 and 14=16 not 8
4 and 7=11 not 8
that's it'
no 2 numbers
we must use quadratic formula
x+y=8
xy=28
x+y=8
subtract x fromb oths ides
y=8-x
subsitute
x(8-x)=28
distribute
8x-x^2=28
add x^2 to both sides
8x=28+x^2
subtract 8x
x^2-8x+28=0
if you have
ax^2+bx+c=0 then x=

so if we have
1x^2-8+28=0 then
a=1
b=-8
c=28
x=

x=

x=

x=

x=

there are no real numbers that satisfy this
Answer:
2nd option is the correct answer
Step-by-step explanation:
3 times a number decreased by 6 is - 2
Answer:
5 times as large
Step-by-step explanation:
You can think of "10^5" as "green marbles" if you like. Then your question is ...
5 green marbles is how many times as large as 1 green marble.
Hopefully, the answer is all too clear: it is 5 times as large.
_____
In math terms, when you want to know how many times as large y is as x, the answer is found by dividing y by x:
y/x . . . . . tells you how many times as large as x is y.
Here, that looks like ...
