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givi [52]
3 years ago
8

Solve for x.........................

Mathematics
2 answers:
Lemur [1.5K]3 years ago
8 0

Answer:

C

Step-by-step explanation:

To solve this equation we need to first get the standard form of a quadratic equation by bringing every term to one side of the equal to .

so

4x^{2} +2x^{2} -3x+2x-16+4=0

combining the like terms in the equation we get

6x^{2} -x-12=0

you can use the factoring to simplify it

so the given equation can be written as

6x^{2} -9x+8x-12=0

using the grouping to factor we get

3x(2x-3) +4(2x-3)=0

(3x+4)(2x-3)=0

using the zero root property now

3x+4=0

2x-3 =0

so that gives us two values

x=\frac{-4}{3}

and

x=\frac{3}{2}

option : C

marin [14]3 years ago
7 0
Sorry I don’t know how to type it

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Find two consecutive odd integers whose sum is 116 (and please have steps) thank you
matrenka [14]
It's 57 and 59
Call (n) is the first odd interger => the second odd interger is (n+2)
=> n + (n + 2) = 116 
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3 years ago
Do not use your calculator for Parts 1 through 4.
Hunter-Best [27]
You have to understand how piecewise functions first
I hope you do because I won't be explaining it here



1.
if it is continiuous at x=1 then the part of the function that approaches 1 from the left is the same value
so we have f(x)=3-x for x<1, so evaluate it for x=1,
we would get 3-1=2
so
if a=2 and b=3

f(x)=2x²+3x
for x=1, we get 2+3=5

it approaches 2 from the left but equals 5
2≠5
so it is not continuous because it doesn't approach the same value at x=1




2.
alright
so we established that it should approach 2 because we had the f(x)=3-x
so
f(1)=2=ax²+bx
2=a+b
the relationship is 2=a+b



3.
same as before, but use the other function, the one that is defined at x≥2
5x-10, 5(2)-10, 10-10, 0
it approaches 0
so
we must find one such that f(x)=0 for x=2 with the ax²+bx
0=a(2)²+b(2)
0=4a+2b
if we minus 2b both sides
-2b=4a
divide by 2
-b=2a
add b both sides
0=2a+b



4.
2=a+b
0=2a+b

2=a+b
minus b both sides
2-b=a
subsitute
0=2a+b
0=2(2-b)+b
0=4-2b+b
0=4-b
b=4

sub back
2-b=a
2-4=a
-2=a

a=-2
b=4


5.
graph f(x)=-2x²+4x from x=1 to x=2 and put a closed dot at (1,2) and an open dot at (2,0)
4 0
3 years ago
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