Solve x2 – 8x + 15 < 0.

Select the critical points for the inequality shown.

Answers

Answer 1

Answer:

x=3,5

Explanation:

x2−8x+15=0

Try to express the terms of the equation in square form.

Adding 16 both sides of the equation,

(x2−2⋅x⋅4+42)+15=16

or,(x−4)2+15−16=0

or,(x−4)2−1=0

or,(x−4)2−12=0

This is the a2−b2=(a+b)(a−b)form.

(x−4+1)(x−4−1)=0

or,(x−3)(x−5)=0

Now, equate both the terms to zero since both of them when multiplied, give zero.

Either,

x−3=0

∴x=3

Or,

x−5=0

∴x=5

Ans:x=3,5 Hope this helpsXD...!!

Answer 2

Answer:

3<x<5

Step-by-step explanation:

an Univariate quadratic polynomial can be divided into the product of two first order equations

In this example, x2 - 8x + 15 =  (x-3) * (x-5) <0

as a result. the answer is 3< x <5


Related Questions

A sample of n = 16 scores has a mean of M = 40 and a variance of s2 = 64. What is the estimated standard error for the sample mean?

Answers

Answer:

[tex]S.E = 2[/tex]

Step-by-step explanation:

Given

[tex]Mean = 40[/tex]

[tex]s^2 = 64[/tex] ----- variance

[tex]n = 16[/tex] ------------ sample

Required

Determine the S.E

The estimated standard error (S.E) for the sample mean is calculated using the following formula:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

Where

[tex]SD = Standard\ Deviation[/tex]

[tex]SD = \sqrt {s^2}[/tex]

[tex]SD = \sqrt {64}[/tex]

[tex]SD = 8[/tex]

So:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

[tex]S.E = \frac{8}{\sqrt{16}}[/tex]

[tex]S.E = \frac{8}{4}[/tex]

[tex]S.E = 2[/tex]

Hence: the estimated standard error for the sample mean is 2

Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units.​

Answers

Answer:

1.L=4;W=3;P=14

2.L=6;W=2;P=16

3.L=12;W=1;P=26

Step-by-step explanation:

because i know

Mia is babysitting and has $40 to give to the 5 kiddos for snacks at the movie theater. How much money will each of the children get for snacks?

Answers

Answer:

Each child would get $8.00.

Step-by-step explanation:

An equation to represent this would be:

40/5

When you divide 40 by 5, you get 8 which results in the children each getting $8.00

Answer:

Each kiddo will get 8 dollars each

Step-by-step explanation:

40 divided by 5 = 8

If a scale factor of 5 is used to make a reduction, what is the base of the original triangle?
Original triangle
Height
Base
Reduced triangle
3
5
0 1
O 10
O 15
O 25

Answers

Answer:

25

Step-by-step explanation:

took test on edge

Answer the question in the picture.

Answers

Answer:

The answer is C

Step-by-step explanation:

Reflecting across the y-axis is like folding across the y-axis.

2,-2, turns into -2,-2

Hope this helped!

Find the slope of the line passing through the points (-6, 1) and (-7, 8).

Answers

Hello!

Slope formula:

y2-y1/x2-x1

y2: 8

y1: 1

x2: -7

x1: -6

Plug given values into the equation:

8-1/-7 - (-6)

Subtract

7/-1

Divide

-7

The slope is -7

Answer:

-7

Step-by-step explanation:

Since we have 2 points, we can use the slope formula

m = ( y2-y1) /(x2-x1)

    = ( 8-1)/( -7 - -6)

   = ( 8-1) / ( -7+6)

   = 7/ -1

  = -7

Please help! Sketch the graph of each line.

Answers

Answer:

1) (-3,0) (0,-3)

2) (-2,0)

3) (5,0) (0,-1)

4) (12,0) (0,3)

5) (-16,0) (0,4)

6) (-0.8333,0) (0,5)

The radius of a right circular cylinder is given by √(t+6) and its height is 1/6√t, where t is time in seconds and the dimensions are in inches. Find the rate of change of the volume with respect to time. and its height is? (in3/s)

Answers

Answer:

[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]

Step-by-step explanation:

Given that:

The radius of a right cylinder is given by √(t+6) and its height is 1/6√t;

The volume of a given circular cylinder is:

[tex]V = \pi r^2 h[/tex]

[tex]V = \pi(t+6) \bigg ( \dfrac{\sqrt{t}}{6}\bigg)[/tex]

[tex]V = \pi \bigg( \dfrac{t^{3/2}}{6}+ \sqrt{t} \bigg)[/tex]

[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 \sqrt{t}}{12}+ \dfrac{1}{2\sqrt{t}} \bigg)[/tex]

[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3t}{12 \sqrt{t}}+ \dfrac{6}{12\sqrt{t}} \bigg)[/tex]

[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 {t}+6}{12\sqrt{t}}\bigg)[/tex]

[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]

if joey trap has 2 million views and you go check him out how many views will he have no really go check him out 100 points just go look him up its not a joke

Answers

Answer:

lol done

Step-by-step explanation:

0.07, 0.005, 0.75
from smallest to largest

Answers

0.005,0.07,0.75 its the answer to your question

if m equals x plus 4 squared and x equals -1 then m equals what​

Answers

Answer:

15?

Step-by-step explanation:

A concession stand sold ice cream cones, salted pretzels, and tacos at a basketball game. Ice cream cones were sold for $3.00, salted pretzels were sold for $2.50, and tacos were sold for $2.00. The total number of ice cream cones, salted pretzels, and tacos sold was 140, and the total amount of money from these items was $359.50. If $70.00 was made just from selling tacos, how many salted pretzels were sold?

Answers

I’m so hungry gurlll like stop playinn

A 26-foot long ladder is leaning against a building
at a 60° angle with the ground.
Which of the following equations can you use to
find the height of the building, h?

Answers

Answer:

13

Step-by-step explanation:

cos(60) =building height / 26

help needed due today

Answers

Answer:

1 1/4 inches deeper

Step-by-step explanation:

Please help will do brainliest

Answers

Answer:

2x-7y

8x+2y

Step-by-step explanation:

A volleyball team drank 7.5 liters of water during their mat9. How many milliliters of water did the volleyball team drink?

Answers

Answer:

7500 milliliters

Step-by-step explanation:

7.5*1000

At Mr. McNeely's farm, there were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at Mr. McNeely's farm?

Answers

Answer:

4 to 5 also,written as 4:5

Step-by-step explanation:

60 cows to 75 sheep

60:75

divide both by 15 to get lowest form

60/15 = 4

75/15 = 5

Question 1 (1 point)
(07.03)
How many solutions does the equation 2y+7=5y+7-3y have?
a
One
Ob
None
ос
Two
od
Infinitely many

Answers

Answer:

0 because both equations on either side will cancel out

(-4)x(4+4-(6-(-10)) ?

Answers

Answer:

28

Step-by-step explanation:





| Why do we need it? | How to use brackets | The basic rules | The complete rules | Using calculators | Quick quiz |

Why do we need an order of operations?

Example: In a room there are 2 teacher's chairs and 3 tables each with 4 chairs for the students. How many chairs are in the room?

We know there are 14, but how do we write this calculation? If we just write
2 + 3 x 4
how does a reader know whether the answer is
2 + 3 = 5, then multiply by 4 to get 20 or
3 x 4 = 12, then 2 + 12 to get 14?

PLEASE HELP WITH THIS MATH QUESTION I am so frustrated I can't get it right and this is my last test attempt :(

Answers

its $10.50
6/2 =3
3/.5= 1.5
6+3=9
9+1.5=10.5

find slope please help I’ll mark brainliest

Answers

slope=0
explanation: its a straight line and therefore means no slope

What is one characteristic of the cosine function? It is an odd function. It has a period equal to π. Its graph is symmetric about the y-axis. Its domain is between –1 and 1 and is inclusive.

Answers

Answer:

D) its domain is between -1 and 1

Step-by-step explanation:

cos is actually an even function, and it has a period of 2π.

Sine has a graph symmetric about the y-axis, not cosine.

Answer:

C.  Its graph is symmetric about the y-axis.

Step-by-step explanation:

If you graph on desmos it shows that it is symmetric about the y-axis :)

what is the distance between (2,7) and(4,2)

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]d = \sqrt{ ({2 - 4})^{2} + ({7 - 2})^{2} } [/tex]

[tex]d = \sqrt{ ({ - 2})^{2} + ({5})^{2} } [/tex]

[tex]d = \sqrt{4 + 25} [/tex]

[tex]d = \sqrt{29} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Find the value of x.
x = 2
x = 3
x = 33
x = 52

Answers

Answer: x=3

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

i got 100%

Dallas was told to run around the perimeter of the high
school as a warm-up for football practice. What is the
total distance that Dallas will run?
148 yards
166 yards
196 yards
256 yards

Answers

Answer:

Option (4)

Step-by-step explanation:

Perimeter of a polygon is the sum of measures of all sides of the polygon.

From the picture attached,

Distance run by Dallas = Perimeter of the ground

                                      = 48 + 50 + 9 + 30 + 30 + 30 + 9 + 50

                                      = 256 yards

Total warm up run by Dallas = 256 yards

Therefore, Option (4) will be the correct option.  

Answer:

b

Step-by-step explanation:

got it right on edge

You have 3 coins. One of them may be a fake that is either heavier or lighter than the real coins. Using a balance scale what is the best possible number of weighings that you need to always find the possible fake

Answers

Answer:

Two weighing

Step-by-step explanation:

In the context, it is given that one of the three coins is fake and the other two are real. It is also mentioned that the fake coin is either heavier or lighter than the other two real coins.

Now to find the fake coin, we take a balance scale and lace one coin on one pan of the balance and place the second coin on the other pan of the same balance. We keep the third coin aside.

Now we check the balance scale. If the scale is balance, then we can conclude that the coin that we kept aside is the fake coin as both the real coins have same weight.

Now we replace the one of the coin on the pan with the coin that is kept aside and check the balance. Remember now on the pan, there is one real coin and one fake coin. The balance scale will be dis-balance as the fake coin is either heavy or light than the real coin. Thus we can identify the fake coin.

What is the distance between points (6, 9) and (6, −9) on a coordinate plane?

Enter your answer in the box.

Answers

Answer:

18

Step-by-step explanation:

If you go to (6, -9) and count up to (6, 9) it is exactly 18 points.

Answer:

It should be 18 units (IT MIGHT) if you count from positive 9 down to negative 9 its gonna be 18 units.

7x1027
Scientific Notation

Answers

7,189 just multiply which you did correctly
7x1027=8,890 I hope this is what your looking for if not sorry

EASY MATH!! Find value of these expressions without using calculator!

Answers

Answer: 1, -1, 1, -1

Step-by-step explanation:

if it the power is odd and there is parenthesis the answer will be negative. If it is even then the answer will be positive

Answer:1, -1, 1, -1

Step-by-step explanation:

Even power results in positive for negative numbers, odd power results in negative for negative numbers

what is the cost of making one burrito (remember that cost is negative)​

Answers

Answer:

$550

Step-by-step explanation:

How much is the profit for 1 burrito?: $8 - ($1.50+$1) = $5.5

So, profit for 100 burritos is $5.5 x 100 = $550.

Other Questions
find the coordinates of the circumcenter of the triangle below What is a main reason you would use a physical model to help you understand a topic? what value of x makes the equation true ? PLZ HELP!!!!!!!!!!!!!!!!! LOTS OF POINTS!!!!There are 6 racers who went on a 25 meter race!!X=time in seconds Y=distance in meters 1) The winner race D (line purple) won the race in 9.6 seconds! Equation for line y=2.5x+1How fast was this person traveling? Write in unit rates 2) what would the graph look like if one of the riders fell off their tricycle Which country has a higher child mortality rate?CanadaChadMexicoChile Please help due in 5 min Carlie was asked to review a software project for her company and determine what materials are needed. Which part of project management must she consider?AnalysisResourcesScopeTime what was stalins PURPOSE for germany after ww 2 write the number 3000,000,000 in scientific notation Predict whether you believe the U.S. would be an effective government today if designed like theArticles of Confederation. Defend your reasoning while making reference to two parts of theArticles of Confederation. Pls need help. Due in a few minutes X Which of the following is a major difference between a biography and a myth? A. A biography is always about one person, while a myth is always about lots of people e B. A biography always takes place in the past, while a myth always takes place in the future. C. A biography always has a happy ending, while a myth always has a sad ending D. A biography always contains facts, while a myth is always fictional: Pls someone help idk compute the sum of the first 40 positive multiples of 3 An object travels in a straight line for 1200 m at a velocity of 50 m/s, what is its time of travel? Which speaker is most likely to make high-risk investments? Speaker A: I want to invest in a lot of different companies. You never know when a company is going to have a surprisingly good or bad year. Speaker B: I invest to get as much money as I can as quickly as I can. I'm not worried about losing money at all. Speaker C: I'm nearing retirement, so I need to make sure my investments are safe. The worst thing that could happen would be losing all of my investments right before I need them. Speaker D: I'm concerned that investment is always risky. I prefeito hold onto my money instead of investing it in companies or banks. A. Speaker D B. Speaker B C. Speaker C D. Speaker A how is an equation of the line that passes through the point (2,3) and has a slope of -6 written? 5x + (x , 3) = 38.4 =? PLZ HELP ME 50 POINTSThis journal entry will be completed in two parts. In this lesson, you will examine how different sentence types can add variety and interest to writing. Part of your learning will involve revising your own writing to improve sentence variety. Now, before continuing with the lesson, you will complete the first half of your entry. Write a short, four- to five-sentence paragraph about a topic of your choosing. Then, after you have completed this lesson, come back to the paragraph you wrote. Analyze your writing to identify areas where you could revise using different sentence types to add interest to your work. Revise the paragraph using the techniques you have learned. Your completed journal entry should have both your original and your revised paragraph. In the U.S. presidential election of 1864, Abraham Lincoln received 2,218,388 of the 4,031,887 votes. About what fraction of the votes did Lincoln receive?