Graph the equation y = -x^2+ 8x – 15 on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the roots of the equation –x^2 + 8x – 15 = 0.
Answers
Answer:
Graph below
Step-by-step explanation:
Graph of the Quadratic Function
We are given the function:
[tex]y=f(x)=-x^2+8x-15[/tex]
Select 5 values of x={2,3,4,5,6}
And calculate the corresponding values of y:
[tex]f(2)=-2^2+8*2-15=-4+16-15=-3[/tex]
[tex]f(3)=-3^2+8*3-15=-9+24-15=0[/tex]
[tex]f(4)=-4^2+8*4-15=-16+32-15=1[/tex]
[tex]f(5)=-5^2+8*5-15=-25+40-15=0[/tex]
[tex]f(6)=-6^2+8*6-15=-36+48-15=-3[/tex]
We have obtained the points
(2,-3) (3,0) (4,1) (5,0) (6,-3)
Now we plot them in the graph below.
It can be noted three remarkable points:
The vertex is located at (4,1)The roots are located at (3,0) and (5,0)The roots of the equation
[tex]-x^2+8x-15=0[/tex]
Are x=3 and x=5.
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Answer:
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Step-by-step explanation:
Answer:
y = 2x + (-30)
Step-by-step explanation:
Find the slope, then find the y-intercept.
But that is for if the points are, (20,10) and (16,2)
If you were finding the equation for the points, (10,20) and (2,16) the equation would be y = 0.5x + 15
If the sales tax rate is 7% in Texas, then how much would you pay in Houston for a coat that cost $32.00?
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Answer:
$34.24
Step-by-step explanation:
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How come two negatives make a positive, but three negatives makes a negative? Does this have to do with there being an odd/even amounts of negatives and cancelling each other out?
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Okay well work step by step. If there is three negatives, you first want to multiply the first two negatives. Your number will come out positive but you are still left with one more negative. so you will multiply the positive number with the negative number which comes out with a negative number.
In the diagram below AB is parallel to CD what is the value of x
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The value of x is 150°. The correct option is D. 150°
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In the given diagram, we can observe that
The angle supplementary with x is 30° (Alternate angles theorem)
Thus,
x + 30° = 180° (Supplementary angles)
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3,1,-2,-4,-1, least to greatest
Answers
Answer:
-4, -2, -1, 1, 3
Step-by-step explanation:
Because some of these numbers are negative, they will be getting smaller as they get bigger. Think of it like this:
When you are determining whether the negative number is bigger or smaller, take the negative sign off or pretend its not there. Then, as the numbers get bigger, they become less. For example, you have these numbers:
-1, -5, -8, -3, and -2
To find out what the order is from least to greatest, you do this:
take the negative sign off
1,5,8,3, and 2
then put them in order from least to greatest
so its
1, 2, 3, 5, 8
Then flip it so its from greatest to least
so its
8,5,3,2,1
Now put the negative signs back
making it:
-8, -5, -3, -2, and -1
That is how you find out what the numbers are from least to greatest.
Hope this helps!
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
4x-3y=15
-4x -4x
______________
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---- --- ---- (divide all by -3)
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9514 1404 393
Answer:
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Step-by-step explanation:
Compare the given equation ...
g(x) = -2(x +3)² -1
to the vertex form ...
g(x) = a(x -h)² +k
You see that ...
a = -2
-h = +3 ⇒ h = -3
+k = -1 ⇒ k = -1
The vertex is (h, k), so is ...
vertex = (-3, -1)
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
create common denominators then you can tell by the numerator.
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Remember:
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Answer:
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Step-by-step explanation:
Given the table
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= 3
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
