PLEASE HELP ME
Solve 2x^2-x>15
Show your work
Answers
Answer:
x < -5/2 or 3 < x
Step-by-step explanation:
Subtracting 15 puts the relation into a more standard form:
2x^2 -x -15 > 0
(2x +5)(x -3) > 0 . . . . . factor
The zeros of these factors are x = -5/2 and x = 3.
For values of x between those values (-5/2 ≤ x ≤ 3), the product of these factors will be negative or zero. In order for the product to be positive, x must not be in that range.
The solution is ...
x < -5/2 or 3 < x
_____
Additional comment
Several methods are taught for factoring a quadratic expression. One of my favorite is using a graphing calculator to find the zeros. If p is a zero, then (x-p) is a factor.
Another way to approach the factoring of ax^2 +bx +c is to find factor pairs of the product (ac) that have a total of b. Here, that means finding factors of 2(-15) = -30 that have a sum of -1. Consider ...
-30 = (1)(-30) = 2(-15) = 3(-10) = 5(-6)
The sums of these pairs are -29, -13, -7, -1. With the values 5 and -6, you can rewrite the quadratic expression as 2x^2 +5x -6x -15. This can be factored by grouping pairs of terms:
x(2x +5) -3(2x +5)
(2x +5)(x -3) . . . . . . . the factorization we show above.
__
You can see on the graph that the quadratic is greater than 0 when x < -2.5 or x > 3.
Related Questions
Mr. Williams drew the following image on the board and asked his students to write a sequence of steps explaining how to construct a line which passes through point C and is perpendicular to line AB. The work of two students, Elias and Greyson, is shown.
Answers
Answer:
both Elias and Greyson
Step-by-step explanation:
I forgot how to do this lol
Answers
=> a= -2
Passes through (4,1) => x=4, y=1
Substituting into the equation:
1= -2x(4) + b => b= 9
=> y= -2x + 9
2. Which of these situations can be represented by the
opposite of -25?
A. scuba diver is 25 feet below sea level.
B. Leon gets paid $25.
C. An airplane descends 25 feet.
D. Sara has a $25 debt.
a
Answers
Answer:
B
Step-by-step explanation: Because he gains $25, which is positive
What is 0.27845 rounded to 3 decimal places
Answers
Answer:
0.278
Step-by-step explanation:
A drilling team detected water 38 feet below the ground. If it took workers 8 days to be able to dig and pull up the water, how much did they dig each day on average? Form an equation
Answers
Answer: 38 divided by 8 which would equal 4.75 or 4 3/4 feet each day.
Step-by-step explanation: You divide the amount of total feet by the amount of days it took.
What is the solution to the system of equations below?
x + y = 7 and x + 2 y = 11
Answers
Answer:
x=3, y=4. (3, 4).
Step-by-step explanation:
x+y=7
x+2y=11
--------------
-x-y=-7
x+2y=11
--------------
y=4
x+4=7
x=7-4
x=3
Cynthia gave 1/5 of her toys to her little sister. If she had 25 toys, how many did she give away?
Answers
Answer:
25*1/5(or 0.2)=
5
she gives a way 5 toys
Hope This Helps!!!
The number of toys that she gives away will be 5.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Cynthia gave 1/5 of her toys to her little sister.
If she had 25 toys.
Then the number of toys that she gives away will be given by the product of 25 and 1/5.
⇒ 25 x 1 / 5
⇒ 5
The number of toys that she gives away will be 5.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
The equation 5y = 6 represents purchasing tubs of yogurt for $6. Which of these equations are equivalent to the equation 5y=6?
a 5y + 4 = 10
b 5y - 1 = 3
c 15y = 18
d 5y = 12
Answers
Answer:
blah blah
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
8. Determine the slope of each line,
f(x) = 3x + 6
Answers
Answer:
3
Step-by-step explanation:
Pick 2 x values to plug in:
x = 0: 3(0)+6 = 6
x = 2: 3(2)+6 = 12
slope = (y2 - y1) / (x2 - x1)
slope = (12 - 6) / (2 - 0)
slope = 6 / 2
slope = 3
If 4 Apple pies require 22 apples, how many pies can be made with 77apples?
IT IS WORTH 50 POINTS
Answers
Explanation:
22/4= 5.5
77/5.5= 14
Answer:
14 apple pies
Step-by-step explanation:
Find 48.9% of 264.Round to the nearest hundredth
Answers
Step-by-step explanation:
Simply divide the percent by 100 and multiply by the number. For example, 48.9 /100 x 264 = 129.096 or 0.489 x 264 = 129.096
Rounded to nearest hundredth
= 129.10
Answer:129.10
Step-by-step explanation:
Simply, the equation for the percentage value of a number is:
x*(z%/100%)=y
where x is your initial value, z is your percentage value, and y is the resultant value
for this question, the equations gives us as follows
264*(48.9%/100%)=129.096=129.10
The table below shows the price of rolls at a bakery. A baker’s dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker’s dozen instead of 13 individual rolls?
Number of rolls
6
8
Baker’s dozen
Price ($)
$3.60
$4.80
$7.20
$0.55
$0.60
$0.70
$0.75
Answers
Answer:
0.60 cents
Step-by-step explanation:
Answer: 0.60
Step-by-step explanation:
The area of the triangle below is 8.91 square inches.
What is the length of the base?
Answers
Answer:
8.1
Step-by-step explanation:
Area of a triangle = ½ × base × height = Area
Rearranged =
area/1/2xheight
The base is the length.
8.91/1/2x2.2
=8.1 inches
Emir is ordering theater tickets online for up to four of his classmates for an upcoming show. The ordering fee is $4 and the cost per ticket is $8.
Answers
Answer:
y=8x+4
Step-by-step explanation:
I am assuming you are asking for an equation.
Total cost = $8*(number of people) + $4
Please Can you subtract the given problem from scientific notation to notation. Step by step please
Answers
Answer:
367(3.67*100)-16(1.6*10)=351
Hope This Helps!!!
[tex]\\ \sf\longmapsto 3.67\times 10^2-1.6\times 10^1[/tex]
[tex]\\ \sf\longmapsto 3.67(100)-1.6(10)[/tex]
[tex]\\ \sf\longmapsto 367-16[/tex]
[tex]\\ \sf\longmapsto 351[/tex]
Please help me thank you :)
Answers
We know the equation.
=> y = mx + bWe also know the y-intercept, which is -3.
=> b = -3.All we need to find is the slope. Once the slope is found, our equation is set.
=> Slope = Rise/Run=> -1/2 = SlopeConclusion:Since the slope has been found, the equation is y = -x/2 - 3.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Help please
Pleasssssse
Answers
Answer:
a) Draw a line horizontally on 4 on the y axis
b)x=2,y=3
An item is regularly priced at $35. It is now priced at a discount of 55% off the regular price. What is the new price?
Answers
What is the slope of the line through (6,9)(6,9)left parenthesis, 6, comma, 9, right parenthesis and (7,1)(7,1)
Answers
Answer:
-8
Step-by-step explanation:
I don't really have an explenation
Answer:
y = -8x + 57
Step-by-step explanation:
hope this helps! :)
What angle would you use to represent 5 blue cars out of 20 cars in total on a pie chart?
Answers
Answer:
check online for more information
30 POINTS
A fabric paint manufacturing company fills the paint in containers using a machine. The amount of paint in a container follows a normal distribution with a mean of 99 ml and a standard deviation of 5 ml. What is the probability that the quantity of paint filled is less than 100 ml? A) 0.28 B) 0.42 C) 0.58 D) 0.92
Answers
Answer:
The correct answer is C) 0.58
Step-by-step explanation:
All this is from USATESTPREP:
The function normCdf(x0, x1, , ) gives the probability that a value drawn from a normal distribution with mean and standard deviation lies in the interval [x0, x1].As the normal distribution is symmetric, the probability that a value is less than the mean is exactly 0.5P(x ≤ 100) = P(x < 99) + P(99 ≤ x ≤ 100)= 0.5 + normCdf(99,100,99,5) = 0.5793Rounded to the nearest hundredth, the probability that a container is filed with less than 100 ml is 0.58.
Darren got 45 out of the 60 questions correct on a test. What percent of the questions did he get correct?
Answers
Answer: To to find the percentage, you simply need to divide 45 by 60:
Step-by-step explanation:
45/60= .75
Move the decimal from the .75 over 2 times which would get you 75% on his test. So he got a 75%
Answer:
75%
Step-by-step explanation:
To find the percentage of questions Darren got correct, first create a fraction.
question's correct/total question's so 45/60
Then, convert the fraction to a percent.
45/60 = 0.75 =75%
So, Darren got 75% of the questions correct.
hope i helped
Andrew washed 32 car windows in 4 hours. At this rate, how many windows did he wash in 8 hours?
Answers
8 hours is twice as many as 4:
Multiply the number of windows in 4 hours by 2:
32 x 2 = 64 windows in 8 hours
Answer:
64
Step-by-step explanation:
32÷4=8 8 car windows per hour. 8×8=64
HELP ME OUT REAL QUICK!
Answers
Answer:
Step-by-step explanation:
ab abahha
Alex drives at an average speed that is 1 6 of the average speed that Roy's train travels. Alex takes 20 minutes to travel 12 km in her car. Roy travels for 2 hours and 20 minutes on his train. How far does Roy travel to 2 dp?
Answers
Answer:
336.00?
not 100% sure though
What is -0.4 times -5/6?
Answers
Answer:
0.3
Step-by-step explanation:
hopes this helps
what is the area of a hexagon inscribed in a circle with a diameter of 8
Answers
Answer:
the side = the radius for a hexagon.
so, area = 6 times the area of one equilateral triangle of side 4.
2. What additional Information What additional information do you need to prove ABC = DEF by the SSS Postulate?
AC = DF
AB = DE
BC = EF
Answers
We already know the other sides
What is the slope of a line perpendicular to the line whose equation is x-y=6x−y=6. Fully simplify your answer.
Answers
Answer:
(X,Y)
(0,6)
What's the answer to this?
Answers
•2 apples per horse
•3 apples left over