Step-by-step explanation:
Given expressions:
1. x² + x
2. 5x² - 25x
3. x² - 16
4. x² + 4x + 4
5. x² - 5x + 6
Problem: Factor each of the quadratic expression
Solution:
A quadratic expression is an expression whose highest power is two.
1. x² + x
For this expression:
x² + x
Factorizing x since it is a common term;
x(x + 1)
2. 5x² - 25x
For this expression;
Factorize 5x since it common to both of them;
5x(x - 5)
3. x² - 16
For this expression;
Apply the differences of two squares;
x² - 16
x² - 4²;
Note; x² - y² = (x-y)(x+y)
So, x² - 4² = (x-4)(x + 4)
4. x² + 4x + 4
To solve this,
Find two numbers whose product will be 4 and sum also 4;
x² + 4x + 4 = x² + 2x + 2x + 4
= x(x + 2) + 2(x + 2)
= (x + 2)(x + 2)
5. x² - 5x + 6
To factorize this expression, simply find two numbers whose sum is -5 and product is 6;
x² - 5x + 6 = x² - 3x - 2x + 6
= x (x - 3) -2(x - 3)
= (x -2)(x-3)
It took Jesse 195 minutes to write an essay for school.
How many hours did it take Jesse to write the essay for
school?
Answer: 3 hours and 15 minutes
Step-by-step explanation:
Answer:
Time taken by Rahm to write the essay and finish the science project = 12.5 hours
Step-by-step explanation:
Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.
Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours
helpppppppppppppppppp
how much was the second one?
Period of y=2tan (2x+90) -1
What is the value of x in this equatain x/2 - x = x/4 + 6
Answer:
x=-8
Step-by-step explanation:
What is the standard form of 3.457
Answer:
3.457 is already in standard form.
Step-by-step explanation:
A contractor bought 8?2 ft2 9f sheets of metal. she has used 3.5ft2 so far has 84.60 worth of sheets metal remaining. the equation 8.2x-3.5x=84.6 represents how much sheet is remening and the cost of the remaining. how much does the sheet metal cost per square foot?
Answer:
The ratio 19/25 is the same as 76/100, or 0.76.
Multiplying this by 100%, we get 76%, the percentage of questions answered correctly.
Subtracting 76% from 100% results in 24%, which is the percentage of questions not answered correctly.
Step-by-step explanation:
where does 17 lies between
Answer:
it lies between 16 and 18
Step-by-step explanation:
Answer:
16 and 18
Step-by-step explanation:
Find the midpoint M of the line segment joining the points S=(-2,8) and T=(6,-2)
Step-by-step explanation:
[tex] \frac{6 + ( -2)}{2} = 2[/tex]
this is for x
[tex] \frac{ - 2 + 8}{2} = 3[/tex]
this is for y
so it will become (2,3)
Identify the coefficients: -3h - 2h + 6h +9
Answer:
its -3h,-2h,6h
Step-by-step explanation:
hope i helped
Find the slope of the line going through the points
(7,13) and (7,6). Write your answer in simplest
form. If the slope is undefined, write "undefined".
Answer:
Dont ask me
Step-by-step explanation:
Okay!!!!!
74,626,831.08 ROUNDED TO THE TENTH.
Answer:
74,626,831.1
Step-by-step explanation:
You'd notice that in the 0.8 part that the number 8 is greater than 5, and with rounding, if the number if 5 or over, then you round the decimal place before it to a number higher.
How would you graph y = -4/9x + 6
9514 1404 393
Answer:
graph the y-interceptfind another point (down 4, right 9)draw the line through the 2 pointsStep-by-step explanation:
When the equation of a line is given in slope-intercept form, as this one is, it is usually convenient to make use of those values (intercept and slope).
Here, the y-intercept is 6. The slope is -4/9, which means the line goes down 4 units for each 9 units to the right.
The y-intercept is graphed at (0, 6). An additional point can be graphed at (9, 2). Then the line can be drawn through these points.
Choosing from 8 car models, 5 exterior paint colors, and 2 interior
colors
The set {1,2,3,4,...} is called the set of
This is an example of a finite set
I hope this is the answer you're looking for :)
What is 6√2⋅√11−2√22 expressed in simplified form?
Hope this help you!!! :))
Name all rays with endpoint E
Answer: Is there an image??
AE, BE, CE, and DE is the rays with endpoint E.
What is a vector?An item with both magnitude and direction is referred to be a vector.
A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.
Geometrical objects with magnitude and direction are called vectors.
A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.
Given the figure,
The endpoint of all rays is E.
The rays associated with point E are;
AE, BE, CE, and DE
Hence "AE, BE, CE, and DE is the rays with endpoint E".
For more information about vector,
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f(x) = x2. What is g(x)?
What is the distance from the origin to point P graphed on the complex plane below?
If A= (-1,-3) and B= (11,-8) what is the length of AB?
Answer:
AB is 13
Step-by-step explanation
Louis deposited $300 into his bank account. She now has $4501. Enter and solve an equation to find how much was in his account before the deposit. Let it represent the variable.
Answer: $4,201
Step-by-step explanation: 4,501 - 300 = 4,201
Answer:
d+300=4501
Step-by-step explanation:
Take the total: 4501 and subtract it by the amount of money he deposited the second time: 300 and that will show you the missing amount he had in his account before the deposit.
4501-300=4201
Find each value for the geometry triangles below
Answer:
14. x=18
Step-by-step explanation:
For 14 you can see that all the angles must add up to 180.
Setup the equation 5x+2x+x=180 and solve for x
For 15 do the same thing, add up all of the lengths and substitute the missing one as W. Set them equal to 360 and you should get your answer.
A falcon flew 70 miles in 3 hours. What was the speed of the falcon?
speed = distance over time ; 1 mile = 1609 meters.
Answer:
10.4 meters per second i think?
Step-by-step explanation:
Write the slope-intercept form of the equation for
each graph described.
Line passing through (-2,-8) and (9,-8)
Answer:
y=-8
Step-by-step explanation:
First find the slope which is rise over run which equals (y2-y1)/(x2-x1)
(-8-(-8))/(9-(-2))
(-8+8)/(9+2)
0/11
slope = 0
Now you have the slope of 0. You can plug in one of the given point (x,y) to find b
-8=0(9)+b
-8=b
Combine everything
y=0x-8
y=-8
Hello, I wanted to leave you this photograph of mathematics that I think will be very useful to some of you, observe it
Answer:
yes
Step-by-step explanation:
Answer:
thank you
Step-by-step explanation:
:)
A company has developed a new type of light bulb and wants to estimate its mean lifetime. A simple random sample of 100 bulbs had a sample mean lifetime of 750.2 hours with a sample standard deviation of 30 hours. Construct a 98% confidence interval for the population mean lifetime of all bulbs manufactured by this process.
Answer:
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Step-by-step explanation:
JHWKHvksdhvdsjKdsk
A day care center has 52 children. Each teacher has the same number of children. How many children could each teacher at the center have.
Answer:
The answer to this question would depend on how many teachers are available in the day care center.
If every teacher is to have the same number of children then the number of teachers will be factors of 52 which are more than 1;
2, 4, 13, 26, 52
If there are 2 teachers, each teacher will have 26 children
If there are 4 teachers, each teacher will have 13 children
If there are 13 teachers, each teacher will have 4 children
If there are 26 teachers, each teacher will have 2 children
If there are 56 teachers, each teacher will have 1 child
What is the value of p?
p+2−4=14
Drag and drop the correct answer in the box.
p = Response area
Answer: p=16
Step-by-step explanation:
What is the total number of digits required in numbering the pages of a book, which has 1,150 pages?
The density of a certain material is such that it weighs 5 kilograms for every 8.5 fluid
ounces of volume. Express this density in ounces per liter. Round your answer to the
nearest whole number.
Answer:
701 ounces per liter
Step-by-step explanation:
it's from delta math
The required density in ounces per liter is 140 onces per liter.
The density of a certain material is such that it weighs 5 kilograms for every 8.5 fluid ounces of volume.
To determine density in ounces per liter.
Volume is defined as the ratio of the mass of an object to its density.
As given that, t weighs 5 kilograms for every 8.5 fluid ounces of volume.
1 KG = 7.0474 ounces
5kg = 35.247
8.5 fluid of ounces = 0.251 liter
Density is given as,
= mass / volume
= 35.274 / 0.251
= 140 ounces per liter.
Thus, the required density in ounces per liter is s140 ounces per liter.
Learn more about Volume here:
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Write each phrase as an expression.
Double the sum of x and 4.
your answer should be 2(x+4)