Answer:
The answer is 2 x-intercepts
Step-by-step explanation:
To determine the x-intercepts we set y to zero and solve for x:
y=0
(x-8)(x+3)^2=0
The product of 2 factors is 0 means that one of them must be 0:
x-8=0 ⇒ x=8 →first x-intercept
or (x+3)^2=0 ⇒ x+3=0 ⇒ x=-3 →second x-intercept
Therefore the polynomial function two roots, so it has two x-intercepts x=8 and x=-3
Hope this helps :)
Answer:
26 boxes of raisin bars
Step-by-step explanation:
Take the total bars sold 1152 then subtract the berry bars 528 and you'll get 624. Next you'll divide the 624 by 24 because that's how many that's in a full box. Finally you'll get your answer of 26 boxes.
1152-528=624 ➗ 24 = 26
Answer:
<em>C. 15</em>
Step-by-step explanation:
Assuming that these segments formed from each parallel line are proportional, x/5 = x-6/3.
Now cross multiply by multiplying each denominator by the opposite numerator, this is so the denominators or bottom numbers of each fraction will cancel.
x/5 = x–6/3 → (3)(x/5) = (3)(x–6/3) → 3x/5 = x–6 →
(5)(3x/5) = (5)(x–6) → 3x = 5(x–6) → 3x = 5x – 30.
The last step is to do the basic algebra to find x:
3x = 5x – 30
–5x –5x
[5x will cancel when you subtract both sides by 5x]
-2x = -30
(-1) (-1)
[2 negatives make a positive when -1 is multiplied by an expression with a negative coefficient]
2x = 30
÷2 ÷2
[divide both sides by 2 to simplify 2x to x]
x = 15
_____
You can also check that both sides are proportional because
5 → x
x = 15
5 → 15
3 → x – 6
x = 15
3 → 9
5 × <u>3</u> = 15
3 × <u>3</u> = 9
Answer:
8. 1
7. 9
____
6. 2
5. 2
4. 1
3. 18
2. 10000
1. 25
Step-by-step explanation:
According to the Order of Operations, if there are any <em>grouping symbols</em>, you take care of them first. Second, you deal with any <em>indices</em><em>,</em> roots, or <em>powers</em><em>.</em><em> </em>Third comes the evaluation of<em> </em><em>Division</em><em> </em><em>&</em><em> </em><em>Multiplication</em><em> </em>from left to right in the order of which you see them appear. The fourth and final step is the evaluation of <em>Subtraction</em><em> </em><em>&</em><em> </em><em>Addition</em><em> </em>from left to right in the order of which you see them appear.
** I was writing down ALL my writing down all my calculations up until a computer glitch caused my work to go <em>work-rupt</em><em>,</em><em> </em>if<em> </em>you<em> </em>know what I mean.
I apologize for the inconvenience, I hope this explanation helps you out alot, and as always, I am joyous to assist anyone at any time.
Answer: y = -6x + 2
m = y_2 - y_1
/ x_2 - x_1
-10 - 8
/ 2 - (-1)
= -18/3 = -6
m (slope) = -6
y = mx + b
y = -6x +b
Find b using (-1,8)
y = -6x +b
8 = -6(-1) + b
8 = 6 + b
-6 -6
2 = b
Final answer: y = -6x + 2
To check using one of the points: (-1,8) or (2,-10)
y = -6x + 2
-10 = -6(2) + 2
-10 = -12 + 2
-10 = -10
This is a true statement.
