Given:
[tex]y=2x^2-8x-10[/tex]
To find:
The interval(s) on which the given function is positive.
Solution:
We have,
[tex]y=2x^2-8x-10[/tex]
[tex]y=2(x^2-4x-5)[/tex]
[tex]y=2(x^2-5x+x-5)[/tex]
[tex]y=2(x(x-5)+1(x-5))[/tex]
[tex]y=2(x+1)(x-5)[/tex]
For zeroes, [tex]y=0[/tex]
[tex]2(x+1)(x-5)=0[/tex]
[tex]x=-1,x=5[/tex]
-1 and 5 divide the number line in three parts [tex](-\infty , -1),(-1,5),(5,\infty )[/tex].
Interval Selected Value [tex]y=2(x+1)(x-5)[/tex] Sign
[tex](-\infty,-1)[/tex] -2 [tex]y=2(-2+1)(-2-5)=14[/tex] +
[tex](-1,5)[/tex] 0 [tex]y=2(0+1)(0-5)=-10[/tex] -
[tex](5,\infty)[/tex] 6 [tex]y=2(6+1)(6-5)=14[/tex] +
So, the function is positive for interval [tex](-\infty,-1)[/tex] and [tex](5,\infty)[/tex].
We can say that the function is positive for interval x < -1 and x > 5.
Therefore, the correct option is B.
What is the measure of angle L?
What is the length of JL?
What is the length of KL?
Please help
Answer:
53
Step-by-step explanation:
[tex]K+J+L = 180\\90 + 37 + L = 180\\L = 53[/tex]
1. A 15-pound bag of sugar is being split into containers that hold of a pound. How many
containers of sugar will the 15-pound bag create?
The answer is: 17 1/7 containers. The work is on the photo
Answer:
yes
Step-by-step explanation:
yes
a circle has a center at (-2,7). if a point on the circle has coordinates (3,-1) then which of the following would be the length of the radius of the circle
Answer:
square root of 65 or 8.06
Step-by-step explanation:
(x-2)^2+(y-7)^2+65
hope this helps
The length of radius is 7.81 unit.
What is Distance Formula?The distance between two points P(a, b)a nd Q(c, d) is
D = √(c- a)² + (d- b)²
Given:
Center at (-2,7) if a point on the circle has coordinates (3,-1).
Using Distance Formula
D = √( 3-(-2))² + (1-7)²
D = √ (3 +2)² + (-6)²
D = √5² + 36
D = √25+36
D = √61
D= 7.81 unit
Hence, the length of radius is 7.81 unit.
Learn more about distance formula here:
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+116x+75
Answer:
7.85
Step-by-step explanation:
the other guy is incorrect,
What is the answer to the following question:
5(4-2) + 1=
Step-by-step explanation:
5(4 - 2) + 1
= 5 * 2 + 1
= 10 + 1
= 11
Hope it will help you :)♡
please anwser this for me!!
Answer:
No
Step-by-step explanation:
The relation given as represented by the table of values is definitely not a function. This is because, 1 domain value (x-value), is having two range values (y-values), 2 and 5, that are assigned to it.
A function cannot have two y-values assigned to one x-values.
At the sandwich shop, there is a sale each afternoon. A customer has a choice of
three types of bread and five different meats. Use the Fundamental Counting
Principle to determine how many combinations a customer can create ?
Answer:
15 combinations
Step-by-step explanation:
The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. This means we need to multiply 3 by 5 to get the possible amount of combinations. This gets us 15. This means there are 15 combinations of bread and meat.
The random variable X has mean 12 and standard deviation 3. The random variable W is defined as W = 7+2X. What are the mean and standard deviation of W?
A. The mean is 24, and the standard deviation is 6.
B. The mean is 24, and the standard deviation is 13.
C. The mean is 31, and the standard deviation is 3.
D. The mean is 31, and the standard deviation is 6.
E. The mean is 31, and the standard deviation is 13.
Answer: D. The mean is 31, and the standard deviation is 6.
Step-by-step explanation:
Given the data :
X = mean = 12 ; Standard deviation = 3
W = 7 + 2x
Variance of W = 2x
Variance = Standard deviation²
(2x)² = 4x²
Variance
Standard deviation of X = 3
Variance (W) = 4*3² = 4 * 9 = 36
Variance (W) = 36
Standard deviation = sqrt(variance)
Standard deviation = sqrt(36) = 6
Mean ; of x = 12
Mean(W) = 7 + 2(12)
Mean = 7 + 24
Mean = 31
Write an equation in slope-intercept form that is perpendicular to y = -7x + 3 and passing through (14.1).
Answer:
y = 1/7x -1
Step-by-step explanation:
1) Find the slope.
- In this case, the equation given is in simplest form so you can easily come to the conclusion that '-7' is the slope. But, since the math question wants a slope-intercept form in perpendicular form, the slope would actually be 1/7.
2) Use the point-slope form and substitute the values available. Then solve.
m (slope) = 1/7
(a, b) = (14, 1)
y - b = m(x - a)
y - 1 = 1/7(x - 14)
y - 1 = 1/7x - 2
y = 1/7x - 1
The result is your answer.
Hope this helped (please tell me if I made a mistake or if you have any confusion and I will resolve it under the comments) ^^
One step equation
-104=8x
Answer:
The answer you gave can only be solved if you know what the Variable is.
Step-by-step explanation:
A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true. To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself.
1/2 + 2/3 divided by 1/6 =
Answer:
4 3/6 or simplified 4 1/2
Step-by-step explanation:
Answer:
The answer is 4.5
Step-by-step explanation: Trust me thats the answer :)
What’s 2*4 equal to in a Meath knowledge
Answer: 8
Step-by-step explanation:
I think the answer is 8
Pls I need help with 2 I’m begging I been stuck on it for a while pls have a good day pls I need help
Answer:
F
Step-by-step explanation:
You add 4.5 pages for every 1 minute, this is constant.
Convert the fraction 7/8 into a decimal number
[tex] = > \frac{7}{8} = 0.875 \\ [/tex]
3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3)
Answer: 3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3
The answer is 14
m∠2 = by the .
m∠1 = by the .
m∠3 = by the .
There once was a ship that put to sea
The name of the ship was the Billy of Tea
The winds blew up, her bow dipped down
O blow, my bully boys, blow
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
She had not been two weeks from shore
When down on her a right whale bore
The captain called all hands and swore
He'd take that whale in tow
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
Before the boat had hit the water
The whale's tail came up and caught her
All hands to the side, harpooned and fought her
When she dived down low
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
No line was cut, no whale was freed
The Captain's mind was not of greed
And he belonged to the whaleman's creed
She took that ship in tow
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
For forty days, or even more
The line went slack, then tight once more
All boats were lost, there were only four
But still that whale did go
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
As far as I've heard, the fight's still on
The line's not cut and the whale's not gone
The Wellerman makes his regular call
To encourage the Captain, crew, and all
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
I SHAT MY PANTS HELP OMG
Answer:
Change your pants
.... um chile anyways
Write 0.0000055 in scientific notation
Answer:
(b) 5.5 × 10^-6
Step-by-step explanation:
hope if helps
18. Jeff traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 1.5 hours. What was the total distance in miles that Jeff traveled during this time?
A 272.5
B 267.5
C 270
D 337
Answer:
B) 267.5
Step-by-step explanation:
162.5+105=267.5
The 12 students in the Environmental Club represent 20% of the students in the seventh grade. How many students are in the seventh grade?
The students that are in the seventh grade is 60.
How to calculate the number of students?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Let the students that are in the seventh grade be x.
Since 12 students in the Environmental Club represent 20% of the students in the seventh grade. This will be:
20% × x = 12
0.2x = 12
Divide
x = 12 / 0.2
x = 60
Therefore, there are 60 students.
Learn more about percentages on
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What is 5-2(4a+1)+3a=13
Step-by-step explanation:
5-2(4a+1)+3a=13
5(4a+1)-2(4a+1)+3a=13
20a+5-8a-2+3a=13
20a-8a+3a+5-2=13
15a-3=13
15a=13+3
a=16
15
hope it helps.
Movie tickets cost $6 for adults and $2 for children under the age of 12. If 175 movie tickets were sold with cash receipts of $750, how many children’s tickets were sold?
Answer:
75 child tickets and 100 adult tickets were sold.
Step-by-step explanation:
Given that adult tickets cost $ 6 and children's tickets cost $ 2, knowing that 175 tickets were sold for $ 750, to determine how many child tickets were sold the following calculation must be performed:
2 x 175 = 350
750 - 350 = 400
6 - 2 = 4
400/4 = 100
175 - 100 = 75
100 x 6 = 600
75 x 2 = 150
Therefore, 75 child tickets and 100 adult tickets were sold.
Can you simplify this?
Answer:yes
Step-by-step explanation:
F= 1.8C + 32.
Answer choice-
a. 33.8
b. 45
c. 77
d. 58.8
Please help
Answer: 33.8
Step-by-step explanation:
Find f(-2) if f(x) = x + x + 7. f(-2) =
Answer:
f(-2) = 9
Step-by-step explanation:
Given that,
f(x) = x² + x + 7
We need to find the value of f(-2).
Put x = -2 in the given function.
f(-2) = (-2)² + (-2) + 7
= 4-2+7
= 9
Hence, the value of f(-2) is equal to 9.
can someone please answer these and explain how you did it
2x - 7 = 11
7x + 1 = 22
3x - 8 = 22
8x +5 = 45
2x-7 = 11
7 goes to the other side
2x=11+7
2x = 18
x=18/2
x=9
7x + 1 = 22
1 goes to the other side
7x=22 - 1
7x=21
x=3
3x - 8 = 22
8 goes to the other side
3x = 22+8
3x=30
x=10
8x+5 = 45
5 goes to the other side
8x=40
x=40/8
x=5
Jori is 2 years older than Sage but 4 years younger than Victoria. Sage is 3 years less than a score. How old is sage? please show an explanation.
Answer:
Comparing the age of two people both ... solve our problem we will fill out a three by three table for each problem. ... To show Adam is 20 years younger we subtract 20, Adam isx −20. Age Now. +2 ... 3. Pat is 20 years older than his son James. In two years Pat will be twice as old.
Answer:
Sage is 17 years young.
Step-by-step explanation:
A score is referring to 20 of something.
It says Sage is 3 years younger than a score.
20-3=17
I hope this is what the question means, otherwise, I'm clueless.
PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS! .
Answer:
D.) 12
Step-by-step explanation:
16x - 3(4x + 5) = 2x + 9
16x - 12x - 15 = 2x + 9
4x - 2x = 15 + 9
2x = 24
2x/2 = 24/2
x = 12
Check:
16x - 3(4x + 5) = 2x + 9
16(12) - 3(4(12) + 5) = 2(12) + 9
192 - 3(48 + 5) = 2(12) + 9
192 - 3(53) = 24 + 9
192 - 159 = 33
33 = 33
Will give Brainliest! Please answer quickly! :) M'N'O'P' has vertices at M'(5, 4), N'(6, 4), O'(6, 7) and P'(3, 7). THe center of dilation is the origin, MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5) and P(4.5, 10.5). What is the algebraic representation of this dilation?
a
(x, y) --> (1/2x, 1/2y)
b
(x, y) --> (3/2x, 3/2y)
c
(x, y) --> (2/3x, 2/3y)
d
(x, y) --> (1/3x, 1/3y)
Answer:
It might be b
Step-by-step explanation:
I think it is B
