The y-intercept of a function is the point where the graph crosses the 
- The factors of the Jared's graph are: (x - 10), (x + 3) and (x + 9)
- The y-intercept is -13.5
- The standard equation of the function is:
<u>(a) The factors</u>
First, we write out the points where the function cross the x-axis.
The points are:
Equate the above points to 0
Hence, the factors are: (x - 10), (x + 3) and (x + 9)
<u>(b) The y-intercept</u>
This is the point where the graph crosses the y-axis.
From the attached graph, the graph crosses the y-axis at -13.5.
Hence, the y-intercept is -13.5
<u>(c) The standard form</u>
In (a), we have:
Multiply the above equations
Expand
Expand
Collect like terms
Replace 0 with y
Hence, the standard form is:
Read more about graphs and functions at:
brainly.com/question/18806107
Answer:
9x + 6
Step-by-step explanation:
<u>Step 1: Distribute</u>
5x + (x + 6) + 3x
5x + x + 6 + 3x
<u>Step 2: Combine like terms</u>
5x + x + 6 + 3x
9x + 6
Answer: 9x + 6
Answer:10
Step-by-step explanation:
Answer:
91 grams
Step-by-step explanation:
To get a percentage you go the number which you want the percentage of divided by the full number then multiply all that by 100. For example, (10 / 100) x 100 = 10, so 10 is 10% of 100.
Now lets call the answer x:
(x / 130g) x 100 = 30%
Now you need to get x on its own, so you need to rearrange it:
x = (30 x 130) / 100
When you change the sides, you change the signs.
With this equation we can work out what 30% of 130 is. So,
(30 x 130) / 100 = 39g
So, 39g is 30%. To find out how much sugar is in the diet juice you need to subtract this from the regular cranberry juice sugar:
130 - 39 = 91g
So there is 91 grams of sugar in a serving or diet juice.
Set f(x) equal to zero and solve. Use the zero product property.
f(x) = 0
(x-9)(x+12)(x-24) = 0
x-9=0 or x+12=0 or x-24=0
x=9 or x=-12 or x=24
The zeros or roots of the polynomial are: 9, -12, 24
Answer is choice C
