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Alexeev081 [22]
3 years ago
8

Which of the following are solutions to the equation below?

Mathematics
1 answer:
Ulleksa [173]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

4x^2-12x+9=5\\\\4x^2-12x+9-5=0\\\\(2x-3)(2x-3)=5\\\\(2x-3)^2=5\\\\2x-3=\pm\sqrt{5}\\\\2x=3\pm\sqrt{5}\\\\x=\frac{3\pm\sqrt{5}}{2}\\\\x_1=\frac{3+\sqrt{5}}{2}\\\\x_2=\frac{3-\sqrt{5}}{2}

choose yourself

I don't understand your options

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320 times .19t
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4 years ago
The linear function g is defined by g(x) = 4x.
pav-90 [236]

Answer:

the answer is D.

Step-by-step explanation:

well, the y-intercept for f(x) is at  

as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.

for g(x), well an y-intercept is when x = 0, what is it from that table?  well, is at 0,3, so when x = 0, y = 3, so no dice on that one.

c)

whenever an x-intercept occurs, y = 0, for f(x) that's at  

what about the x-intercept for g(x)?  well, let's check, when is y = 0?  aha!  at -9, 0, so when y = 0, x = -9, so no dice on that one either.

d)

well, what is the slope of g(x) anyway?  well, let's pick two points off the table to get it hmmm the first two let's use,

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well, 2/3 is larger than 1/3, so no dice.

b)

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5 0
3 years ago
Read 2 more answers
What must be a factor of the polynomial function fx) graphed on the coordinate plane below?
Reptile [31]

See in the explanation

<h2>Explanation:</h2>

Hello! Recall that you need to write complete questions in order to get good and precise answers. However, I'll try to explain this problem in a general way. The definition of polynomial functions states:

A \ \mathbf{polynomial \ function} \ of \ x \ with \ degree \ n \ is \ given \ by:\\ \\ f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\ldots +a_{2}x^{2}+a_{1}x+a_{0} \\ \\ where \ n \ is \ a \ nonnegative \ integer \ and \ a_{n}, a_{n-1}, \ldots a_{2}, a_{1}, a_{0} \\ with \ a_{n}\neq 0

Suppose we have the following polynomial function:

f(x)=x^3+x^2-8x-12

If (x-3) is a factor of this polynomial function, we can write f(x) as:

f(x)=\left(ax^2+bx+c\right)\left(x-3\right)

In whose case:

f(3)=0

Evaluating x=3

f(x)=x^3+x^2-8x-12 \\ \\ f(3)=3^3+3^2-8(3)-12 \\ \\ f(3)=27+9-24-12 \\ \\ f(3)=32-32 \\ \\ f(3)=0

So in conclusion:

(x-3) \ is \ a \ factor \ of \ f(x)=x^3+x^2-8x-12

The graph is shown below and is consistent with our conclusion.

<h2>Learn more:</h2>

Complex zeros: brainly.com/question/13728954

#LearWithBrainly

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Scilla [17]

Answer:

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Step-by-step explanation: I used substitution

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At 1/8 of a gallon you can mow 2 1/4 so for 1 gallon just multiply 2 1/4 by 8
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