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.
Related Questions
Factor the expression using the greatest common factor
2x + 10 =
Answers
Answer:
2(x+5)
Step-by-step explanation:
2x+10
1.Factor our the 2 from the equation
2.Your answer after will be 2(x+5)
Answer:
Step-by-step explanation:
If the sales tax rate is 7% in Texas, then how much would you pay in Houston for a coat that cost $32.00?
Answers
Answer:
$34.24
Step-by-step explanation:
multiply 32 by 0.07 and get 2.24 add that to 32
Hari's weekly allowance varies depending on the number of chores he does. He received $20 in allowance the week he did 10 chores, and $16 in allowance the week he did 2 chores. Write an equation for his allowance in slope-intercept form.
Answers
Answer:
y=1/2x+12
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
1. g(x) = -2(x + 3) 2 - 1
Identify the a,h,k and vertex for each quadratic function
Answers
9514 1404 393
Answer:
a = -2, h = -3, k = -1
vertex = (-3, -1)
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)
Kathy jumped 16 1/2 ft at the long jump event. Nadia jumped 18 1/8 ft at the long jump. How much farther did Nadia jump than Kathy?
Answers
Answer:
12 ft
Step-by-step explanation:
First you do 16 x 2 +1 and you get 133, second you do 18 x 8 +1 = 145 third you need to subtract 145 - 133, and you get 12 feet.
Hope this helped.
Divide the polynomials.
Your answer should be a polynomial.
22 - 71 +12
I-3
Answers
Answer:
x - 4
Step-by-step explanation:
5. Given the function f(x) = 3(1.55)x.
a. Does the above exponential function represent exponential growth or decay?
b. State the percent increase of the above function.
c. State the growth factor (or multiplier) of the above function.
d. What is the initial amount of f(x)?
Answers
Answer:
it A ;)
Step-by-step explanation:
what has the greatest value 3/10 or 1/2 or 2/5
Answers
Answer:
1/2, 2/5, 3/10 is the order
Step-by-step explanation:
create common denominators then you can tell by the numerator.
3/10=3/10
1/2=5/10
2/5=4/10
What is the volume of a rectangular prism with a height of 5 meters and a base with area 19 square meters?
Enter your answer in the box.
Answers
Help me please BRAINLIEST In the drawing below, ABC is similar to NPM. Which ratio correctly represents the relationship between the lengths of the sides of the triangles?
a, b, c, or d please help me thank you
Answers
Answer: A
Step-by-step explanation:
A couch was originally priced at $800.00. The sale price is 25% off. Find the discount.
Answers
Answer:
The price after the discount is $600
The amount discounted off is $200
Step-by-step explanation:
I need help with this math assignment!! Will mark brainliest!
Answers
Answer:
Sorry but i can't help u.
Step-by-step explanation:
In the diagram below AB is parallel to CD what is the value of x
Answers
The value of x is 150°. The correct option is D. 150°
Calculating anglesFrom the question, we are to determine the measure of angle x
In the given diagram, we can observe that
The angle supplementary with x is 30° (Alternate angles theorem)
Thus,
x + 30° = 180° (Supplementary angles)
x = 180° - 30°
x = 150°
Hence, the value of x is 150°. The correct option is D. 150°
Learn more on Calculating angles here: https://brainly.com/question/12060386
#SPJ1
Please help me out with this one
Answers
Answer:
The slope of the line = m = 3
Step-by-step explanation:
Given the table
x 3 6 8 12
y 7 16 22 34
Taking any two points let say (3, 7) and (6, 16)
(x₁, y₁) = (3, 7) (x₂, y₂) = (6, 16)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [16 - 7] / [6 - 3]
= 9 / 3
= 3
Therefore, the slope of the line = m = 3
Why I don't have information to find the missing lengths?
Answers
Answer:
yes
Step-by-step explanation:
PLEASE ANSWER ASAP. WILL GIVE BRAINLIEST
Answers
Answer:
I cant see that, its upside down.
Step-by-step explanation:
Bill is h cm tall. Sienna is 4 cm taller than Bill. What is the expression in terms of h for sienna height in centimeters.
Answers
Volume?? Please help giving out brainliest and 12 points for answering
Answers
Answer:
1395
Step-by-step explanation:
Since the Hight of the rectangular prism is 7 we can subtract that from 17 to get 10 for the Hight of the pyramid
volume of rectangular prism is 15·9·7=945
volume of pyramid is (15·9·10)/3=450
add
450+945=1395
Convert 4.2% to an
equivalent decimal.
Answers
Answer:
0.042
Step-by-step explanation:
divide by 100
Remember:
To convert a Decimal to Percent, you multiply the decimal by 100
To convert a Percent to a Decimal, you divide by 100
Answer:
0.042
Step-by-step explanation:
[tex]4.2/100 = 0.042[/tex]
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?
Answers
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.
What is the slope of 7; (4 -30)
Answers
Answer:
Can you restate the question, it is hard to solve with typos.
If you would like, it would also help to attach an image or picture of the question.
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!
PS. You should eat chicken nuggets because they are good
Evaluate when x = -3 and y= -1:
Answers
Answer:
-3 + -1
Step-by-step explanation:
3х + 4y = - 23
х = 3y+1
Solve systems of equations!
Answers
Answer:
[tex]3(3y + 1) + 4y = - 23 \\ 9y + 3 + 4y = - 23 \\ 9y + 4y = - 23 - 3 \\ \frac{13y}{13y} = \frac{ - 26}{13} = - 2[/tex]
What is the simplified value of the exponential expression 27 1/3
Answers
Answer:
3
Step-by-step explanation:
Plz help a real one out
Answers
Answer:
Correct answer is A
Step-by-step explanation:
44.72+57.12 = 101.54
180-Ans
= 78.46
Solve the given equation for y. Enter DNE if there is no solution. Enter R if all numbers are the solution. 7y+5=6y+1.
How would I solve this?
Answers
Answer:
I think the answer is Y= -4. I'm not really sure what you are asking for though.
Step-by-step explanation:
7y + 5= 6y + 1
7y = 6y - 4
y = -4
I hope this helps!
Which equation represents 4x – 3y = 15 when solved for y
Answers
Answer:
y=4/3x-5
Step-by-step explanation:
4x-3y=15
-4x -4x
______________
-3y=-4x+15
---- --- ---- (divide all by -3)
-3 -3 -3
y=4/3x-5
please help me this is due in 10 minutes i’ll give brainlyist
Answers
Answer:
y=125x+500
Step-by-step explanation: plug the values into x and it's that equation
A plane starts at the origin of the coordinate plane The plane flies 0.5 units left and 3.5 units up to point X. What are the coordinates of point X?
Answers
Answer:
(-0.5, 3.5)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
