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 1

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.

Graph The Equation Y = -x^2+ 8x 15 On The Accompanying Set Of Axes. You Must Plot 5 Points Including

Related Questions

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

6 dollars per person because
42/6=7

This is probably super easy. BRAINLIEST!!!!

Answers

Anything less than 100% of that number will be Less than the original example

99% of 100 = 99 less than original

120% of 100= 120 greater than original

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

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

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:

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

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

will give brainliest for this

Answers

Answer:

B

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

The correct answer is CD. I am 100% correct. I have done this problem before.

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.

Find the x-intercept of the line:

8x - 4y = -24​

Answers

x-intercept = (-3,0)

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°


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:

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

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!

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

1232 minutes i think

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

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 mi

Step-by-step explanation:

Population density is:

Pd = population / areaPd = 300000000 people / 3500000 sq mi = 85.7 people/ sq mi

Correct option is A

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

Write a word phrase for the expression 16 + (x + 4).​

Answers

Answer:

16 plus the quantity of x + 4.

The cost of tickets is $42 for three people and $112 for eight people.

Answers

Answer:

What’s the rest of the question

Step-by-step explanation:

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  

What is the missing value:

[tex]\frac{16}{1}[/tex] = [tex]\frac{x}{2\frac{1}{2} }[/tex]

Answers

the answer is 40 bc you cross multiply

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

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:

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.

How is this equation correctly solved?

Answers

Answer:

Psy talented it to cartwheels

Step-by-step explanation:

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

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:

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.

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​

Answers

Answer:

Step-by-step explanation:

Parallel: -2/5

Perpendicular: 5/2

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