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
Find the value of x. *
2x+6
32°
Answers
Answer: 71
Step-by-step explanation:
Answer:
x = 71°
Step-by-step explanation:
2x + 6 = 180° - 32°
2x + 6 = 148°
2x = 142°
x = 71°
eight less than a number isless than or equal to 10
Answers
Answer:
8<x≤10
Step-by-step explanation:
Answer:
x-8≤10
x≤18
Step-by-step explanation:
x-8≤10
+8 +8
x≤18
solve the inequality. graph the solution
Answers
Answer:
a or the first one
Step-by-step explanation:
x - 1 ≤ 6
add 1 to both sides
x ≤ 7
the ≤ is pointing <<< that way
so the line will go on the left side of seven
and since its greater than or equal to its a closed circle
f(x) = (3x − 2)(4x + 1) standard form
Answers
Step-by-step explanation:
f(x) = (3x - 2)(4x + 1)
= 12x² + 3x - 8x - 2
= 12x² - 5x -2
1) 6c + 7 = 8c - 3
2) -8 (4 + 9x) = 7 (-2 - 11x)
Answers
Answer:
c=5,x=18/5 or 3.6
Step-by-step explanation:
What is f(+3) if f(x) = 5 x
Answers
Answer:
[tex]f(x) = 5x \\ f(3) = 5(3) = \boxed{15}[/tex]
f(3) =15 is the right answer.2s + (-4s) simplify
Answers
Answer:
-2s
Step-by-step explanation:
Answer:
-2s
Step-by-step explanation:
We have: 2s + (-4s)
Take -4s outside of the parentheses and we now have: 2s - 4s
Now subtract and the simplified equation will be: -2s
5) Write the slopes of a line parallel and perpendicular to the line y= -2/5x+6 (Hint: 2 answers) 1 What is current aradan
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Answer:
Step-by-step explanation:
Parallel: -2/5
Perpendicular: 5/2
The cost of tickets is $42 for three people and $112 for eight people.
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Answer:
What’s the rest of the question
Step-by-step explanation:
Find the x-intercept of the line:
8x - 4y = -24
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Write a word phrase for the expression 16 + (x + 4).
Answers
Answer:
16 plus the quantity of x + 4.
please help with this question. i will mark you brainliest promise
Answers
Answer:
ANSWER WILL BE
E 2\5 × 3/4
Answer:
B, C and E
Step-by-step explanation:
The area of the shaded section above is [tex]\frac{24}{80}[/tex], which means 24 boxes out of 80 are shaded. It can be reduced to its lowest term:
[tex]\frac{24}{80}[/tex] ÷ [tex]\frac{8}{8}[/tex] = [tex]\frac{3}{10}[/tex]Now, that we know the lowest term, we have to look for similar fractions based on the product for each choice.
A. [tex]\frac{5}{8}[/tex] x[tex]\frac{5}{10}[/tex] = [tex]\frac{25}{80}[/tex] or [tex]\frac{5}{16}[/tex]
Therefore choice A is not a correct expression.B. [tex]\frac{4}{10}[/tex] x [tex]\frac{6}{8}[/tex] = [tex]\frac{24}{80}[/tex] or [tex]\frac{3}{10}[/tex]
Therefore, choice B is a correct expression.C. [tex]\frac{3}{5}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{10}[/tex]
Therefore, choice C is a correct expression.D. [tex]\frac{4}{8}[/tex] x [tex]\frac{4}{6}[/tex] = [tex]\frac{16}{64}[/tex] or [tex]\frac{1}{4}[/tex]
Therefore, choice D is not a correct expression.E. [tex]\frac{2}{5}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{6}{20}[/tex] or [tex]\frac{3}{10}[/tex]
Therefore choice E is a correct expression.In 2009, a town's population was about 9,000 residents. In 2014, the population was about 12,500 residents. Which linear model represents the town's population, p, as a function of t, the time in years after 2007
Answers
Answer:
Population function (Based on 2007) = 7,600 + 700n
Step-by-step explanation:
Given:
Population in 2009 = 9,000
Population in 2014 = 12,500
Computation:
Increase in population per year = [12,500 - 9,000] / 5
Increase in population per year = 700
Population in 2007 = 9,000 - [2 x 700]
Population in 2007 = 7,600
Population function (Based on 2007) = 7,600 + 700n
n = number of year
Answer:
p(t)=700t+7600
Step-by-step explanation:
HELP ASAP YALL- PLS
Answers
Answer: x = 4
Step-by-step explanation:
since it is showing us that the angles are congruent, we know that the smaller triangle is just a scaled-down version of the larger one. in other words, it is the EXACT SAME triangle, just slightly smaller.
so, i redrew them next to each other, so i could compare them easily.
i looked at the corresponding sides that were given, and realized that the side that is 10 on the larger triangle is equal to 5 on the smaller triangle. the side that is equal to 6 on the larger triangle is equal to 3 on the smaller triangle. this concludes that the smaller triangle is exactly half the size of the larger triangle!
so, i figured (using logic) that x must equal 4, simply dividing its corresponding side (with a measure of 8) in half.
hope this helps! xoxo
Help
Please
I
Don’t
Understand
Answers
Answer: -4x+5>-5=x>2.5
-25>-5(x+2.5)=x<2.5
Step-by-step explanation:
-4x+5>-5 -25>-5(x+2.5)
-5 -5 -25>-5x-12.5
-4x>-10 +12.5 +12.5
/-4 /-4 -12.5>-5x
x>2.5 /-5 /-5
2.5>x
x<2.5
Carly walks 30 feet in seven seconds. At this rate, how many minutes will it take for Carly
to walk a mile if there are 5,280 feet in one mile? Round your answer to the nearest tenth
of a mile.
Answers
i need help with this question
Answers
Answer:
error occurred in Step 1 because 2/3 and 1/4 should have been multiplied instead of added; so answer would be x^1/6
Step-by-step explanation:
7 people went to dinner. The total
bill was $42. How much did
each person pay if the bill was
shared equally?
Answers
Answer:
$6
Step-by-step explanation:
come on this is simple division, thx for the points though
42/6=7
This is probably super easy. BRAINLIEST!!!!
Answers
99% of 100 = 99 less than original
120% of 100= 120 greater than original
India has a population density of 840 people per sq. mile. If we estimate the population of the US to be 300,000,000 and the total land area to be 3,500,000 sq miles, what is our population density?
85.7 people/ sq mi
8 people/ sq mi
840 people/sq mi
300,000,000 people/ sq mi
Answers
Answer:
A. 85.7 people/ sq miStep-by-step explanation:
Population density is:
Pd = population / areaPd = 300000000 people / 3500000 sq mi = 85.7 people/ sq miCorrect option is A
Here is a list of numbers.
-45
-21
-16
12
33
40
a) Write down two numbers from the list that add up to -9
Answers
Answer:
33-40-45
Step-by-step explanation:
What is the missing value:
[tex]\frac{16}{1}[/tex] = [tex]\frac{x}{2\frac{1}{2} }[/tex]
Answers
Answer:
x = 40
Step-by-step explanation:
x/(2 1/2) = 16/1
x/(5/2) = 16
Multiply both sides by 5/2.
x = 16 * 5/2
x = 80/2
x = 40
Answer: x = 40
Which trigonometric ratio would you use to solve for the variable??
Answers
Answer:
Sin angle = opp/hyp
Cos angle = Adj/ hyp
Tan angle = opp/adj
The opp = the base of the triangle
The hyp = w
The adj = 125
Btw....
SOH CAH TOA
SOH = Sin ( Opposite ÷ Hypotenuse)
CAH = Cos ( Adjacent ÷ Hypotenuse)
TOA = Tan ( Opposite ÷ Adjacent)
Hope this helped!
Have a supercalifragilisticexpialidocious day!
How is this equation correctly solved?
Answers
Answer:
Psy talented it to cartwheels
Step-by-step explanation:
Helena wants to find the perimeter of the graphed quadrilateral ABCD.
Which side will require the use of the distance formula to find the length?
side AB
side BC
side CD
side DA
Answers
Which of the equations can be used to create the sequence below?
−1,−5,−25,−125,...
Answers
Answer:
the answe is Multiply by 5
Step-by-step explanation:
Well you didnt give any answer choices :/
-1*5= -5
-5*5= -25
-25*5= -125
etc
Hope this helped pls give brainliest
will give brainliest for this
Answers
Answer:
B
Step-by-step explanation:
Find the given trigonometric ratio in the problem below.
Answers
Answer:
tan c would be 20/21, and that can't be further simplified. tan is opposite/adjacent, so that's why it's 20/21.
Someone help pleaseee I’m failing ..
Answers
Answer:
B
Step-by-step explanation:
sorry, I already commented about this because i couldnt find the answer button lol sorry, anyways I used a debt calculator to work it out
Janice drew a scale drawing of a house. The scale of the drawing was 1 inch : 3 feet. If the actual length of a rug in the hallway is 9 feet, how long is the rug in the drawing?
Answers
Answer: 3 inches
Step-by-step explanation: Divide the actual length, 9 feet by 3, since that is the scale. then convert to inches
9/3 =3