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

0.07, 0.005, 0.75
from smallest to largest

Answers

0.005,0.07,0.75 its the answer to your question

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.

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

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

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

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

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

Please help will do brainliest

Answers

Answer:

2x-7y

8x+2y

Step-by-step explanation:

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 :)

help needed due today

Answers

Answer:

1 1/4 inches deeper

Step-by-step explanation:

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

(-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?

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

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

Answers

Answer:

15?

Step-by-step explanation:

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

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)

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

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

Answers

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[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]

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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:

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

find slope please help I’ll mark brainliest

Answers

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

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.

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]

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

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

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

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!

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

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%

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.

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