Salim has 5 boxes of paint jars. Each box has the same number of paint jars. His teacher gives him 6 more paint jars. Now he has
1 answer:
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We are given polynomial function f(x)=
We are given two zeros -4 and 5.
Therefore, x=-4 and x=5 is given.
So, the two factors of the polynomial will be (x+4)(x-5).
Let us write some steps to factor the given polynomial.
Let us take above factor (x+4) first.
On factoring (x+4) we get factors
Grouping
Factoring out gcf from each group, we get
So, the final factored form of given polynomial will be
For first to factors (x+4) and (x-5) we have given roots: -4 and 5.
Let us find the root of third factor we got.
Subtracting both sides by 1.
x^2 = - 1.
On taking square root on both sides, we get a square root(-1)
+ i and -i.
Those are imaginary solutions.
Therefore, correct option is B) No, there are two imaginary solutions.
Okay so I attatched pictures of my work. I would just graph it by plugging in x-values on either side of the vertex into the equation. For example, the vertex is at (-2,3). So try plugging x=-5 and x=1 into the equation (y=a(x-h)^2 +k).
y=(x+2)^2 +3
y=((1)+2)^2 +3=(3)^2+3= 9+3= 12
Now you can plot the vertex (-2,3), the point (1,12), and (-5,12). From there just connect the dots and you should get a graph that looks similar to the last picture I attached. Hope this all made sense sorry it was so wordy I just wasn't sure how much you knew or didn't know. So, I thought it would be better to explain it all rather than not enough.
y=(x+2)^2 +3
y=((1)+2)^2 +3=(3)^2+3= 9+3= 12
Now you can plot the vertex (-2,3), the point (1,12), and (-5,12). From there just connect the dots and you should get a graph that looks similar to the last picture I attached. Hope this all made sense sorry it was so wordy I just wasn't sure how much you knew or didn't know. So, I thought it would be better to explain it all rather than not enough.
Answer:
t= 0
Step-by-step explanation:
Using the rules of logarithms
log x + log y = log(xy)
1 = 0
Given
a +
= t ,then
(a ×
) = t
1 = t , thus
t = 0