Rewrite (x – 3) (x + 5) + (x – 3) (2x – 1) as the product of two binomials.
Answers
(x - 3)(x + 5) + (x - 3)(2x - 1)
We can factor out (x - 3) since both terms have that in common. Then we simply add together x + 5 and 2x - 1
(x - 3)(3x + 4) is the final answer.
Related Questions
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 460 miles on 20 gallons of gas. What is the car's gas mileage?
Answers
Answer:
23
Step-by-step explanation:
because 460 divided by 20 is 23 so the car gets 23 mpg because 460 represents miles and 20 represents gallons of gas
The car's gas mileage is 23 if the test of a new car results in 460 miles on 20 gallons of gas.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Gas mileage is the number of miles you can drive on a gallon of gasoline.
A test of a new car results in 460 miles on 20 gallons of gas.
Let x be the car's gas mileage.
The value of the x can be found as follows:
x = 460/20
x = 23
20 gallons of gas and 460 miles are represented by the numbers.
Thus, the car's gas mileage is 23 if the test of a new car results in 460 miles on 20 gallons of gas.
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State if the given functions are inverses. f(x) = 1/x + 3 g(x) = 4/x + 2
Answers
Answer:
they are not inverses
Step-by-step explanation:
f(1) = 1/1 +3 = 1 +3 = 4
g(4) = 4/4 +2 = 1 +2 = 3 ≠ 1
If the functions were inverses, we would have g(f(1)) = 1, which we do not.
The given functions are not inverses.
_____
The same would be true if your functions were
f(x) = 1/(x+3) and g(x) = 4/(x+2)
f(1) = 1/(1+3) = 1/4
g(1/4) = 4/(1/4 +2) = 4/(9/4) = 16/9 ≠ 1
what is the distance between (7, -2) and (3,1) pls help fast
Answers
Answer:
it would be 5
Step-by-step explanation:
9 = -3 + n + 2n what does n equal ?
Answers
Step-by-step explanation:
9=-3+n+2n
9+3=n+2n
12=3n
n=12/3
n=4
[tex]9 = - 3 + n + 2n[/tex]
now let's flip this equation to make things easier[tex] - 3 + n + 2n = 9[/tex]
now move -3 to the other sidewhen we move -3 to the other side it turns into positive 3[tex]n + 2n = 9 + 3[/tex]
now add the values on both sidesn + 2n will be equal to 3n and 9 + 3 will be equal to 12[tex]3n = 12[/tex]
now move 3 to the other sidethe multiplication sign that binded 3 and n together will change into division when moved to the other side[tex]n = \frac{12}{3} [/tex]
when we divide 12 and 3 we will get 4[tex]n = 4[/tex]
so final answer is 4hope that helps ! What effect does decreasing the temperature of a room have on a lifespan of a battery?
Which variable is highlighted in red, bolded tex?
Answers
This question is incomplete. There are options in the question (from reference) and no highlight in the red bolded text in the question.
What effect does decreasing the temperature of a room have on a lifespan of a battery?
Which variable is highlighted in red, bolded tex?
a . Independent
b . Dependent
c . Control
d . None
But the answer to both the independent and dependent variables will be provided and explained in detail.
Answer:
Independent variable: decrease in temperature
Dependent variable: lifespan of battery
Step-by-step explanation:
The independent variable in an experiment is defined as the variable that can be changed or manipulated in order to find an outcome while the dependent variable is defined as the variable that is influenced by the changes in the independent variable.
In the given example, a decrease in temperature is the dependent variable as it is changing and the lifespan of battery is the dependent variable as it is responding to the independent variable ?9decrease in temperature).
Kane is training for a marathone. He started by running 3 miles during every training session. Each week plans to increase the distance of his run by 1/4 mile
Answers
Complete question :
Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the diatance kane runs in a training session after w weeks
Answer:
(11 + w ) / 4
Step-by-step explanation:
Given the following :
Initial miles kane plans to cover per session = 3 miles
Increase in miles covered per session = 1/4 mile per week
Hence, distance covered after w weeks :
Using the sum of an arithmetic progression formula:
Tn = a + (n - 1) d
a = first term = Initial / starting distance = 3 miles
n = nth term = number of weeks = w
d = common difference = constant increase in distance per week = 1/4
Hence, after w weeks :
= 3 + (w - 1) × 1/4
= 3 + (w/4 - 1/4)
= 3 + (w - 1) / 4
Taking L. C. M
(12 + w - 1) / 4
(11 + w ) / 4
The expression that shows the distance Kane runs in a training session after w weeks will be; (11 + w ) / 4
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that the Initial miles kane plans to cover per session = 3 miles
The Increase in miles covered per session = 1/4 mile per week
Using the sum of an arithmetic progression formula to calculate the distance covered after w weeks
Tn = a + (n - 1) d
a = first term = 3 miles
n = nth term = number of weeks = w
d = common difference = the constant increase in distance per week = 1/4
Hence, after w weeks,
= 3 + (w - 1) × 1/4
= 3 + (w/4 - 1/4)
= 3 + (w - 1) / 4
= (12 + w - 1) / 4
= (11 + w ) / 4
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Complete question :
Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the distance kane runs in a training session after w weeks.
Simplify the expression: 2( 5 t + J) + 3( 2t + 4 J )
Answers
Answer:
16t + 14J
Step-by-step explanation:
1) First, you have to multiply the numbers
New Expression: 10t + 2J + 6t + 12J
2) Now, you have to find the like terms and add them together
New Expression: 16t + 14J
Hope this helps!
Use the fraction bar interactive to find the difference: One-third minus StartFraction 5 over 6 EndFraction
Answers
Answer:
-1/2
Step-by-step explanation:
Answer:
common denominator
6
1/3 - 5/6 difference
-1/2
Step-by-step explanation:
hope I wasn't to late
have a good day guys
:)
If m∠2 = 125°, m∠12 = 37° and m∠18 = 102°, find the measure ∠1 = f.m∠7 = k.m∠13 = b.m∠3 = g.m∠8 = l.m∠14 = c.m∠4 = h.m∠9 = m.m∠15 = d.m∠5 = i.m∠10 = n.m∠16 = e.m∠6 = j.m∠11 = o.m∠17 =
Answers
Answer:
Step-by-step explanation:
1). Since, m∠2 + m∠1 = 180° [Supplementary angles]
125° + m∠1 = 180°
m∠1 = 180° - 125°
m∠1 = 55°
2). Since ∠7 ≅ ∠12 [alternate interior angles]
m∠7 = m∠12 = 37°
3). m∠3 = m∠18 = 102° [Alternate exterior angles]
4). m∠8 + m∠3 + m∠7 = 180°
m∠8 + 102 + 37 = 180
m∠8 = 41°
5). m∠14 = (m∠7 + m∠8) [Alternate angles]
m∠14 = 37 + 41 = 78°
6). m∠4 = 180° - m∠3 [Linear pairs]
= 180 - 102
= 78°
7). m∠9 = m∠3 = 102° [Vertical angles]
8). m∠15 = m∠2 [Alternate exterior angles]
= 125°
9). m∠5 = m∠15 [Corresponding angles]
= 125°
10). m∠10 + m∠5 = 180° [Sum of interior angles on one side of the transversal]
m∠10 = 180 - 125
= 55°
10). m∠16 = m∠10 = 55° [Vertical angles]
11). m∠6 = m∠10 = 55° [Alternate interior angles]
12). m∠11 = m∠15 = 125°
13). m∠17 = m∠14 = 78° [Vertical angles]
The answers are given as follows
Given that
a║b
m∠2 = 125°
m∠12 = 37°
m∠18 = 102°
From the identity of supplementary angles
m∠1 + m∠2= 180°
So m∠1 = 180° - 125° = 55°
m∠7 =m∠12 = 37° (Interior opposite angles )
m∠3 = m∠18=102° (Alternate Exterior angles )
m∠8 = 180° - m∠3 -m∠7 = 180°- 139° = 41°
m∠14 = m∠7+ m∠8= 37° + 41° = 78° ( Alternate opposite angles)
So m∠13 = 180° -78° = 102° (linear pair)
m∠4= 180° - m∠3 = 180° - 102° = 78°
m∠9 =180° - m∠4 = 180° - 78 = 102° (vertically opposite to m∠3)
m∠15 = m∠2 = 125° (Alternate exterior angles)
m∠5 =m∠15 = 125° (Corresponding Angles )
m∠10 = 180° -125° = 55°
m∠16 = m∠10 =55° ( Vertically Opposite Angles)
m∠6 = m∠10 =55° (Alternate interior angles)
m∠11 = 180 ° - m∠6° - m∠7° = 180° - 55° - 37° = 88°
m∠17 = 180° - m∠13 = 180° -102° = 78 °
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[tex]6 \times x = - 24[/tex]
What is the missing number?
Answers
What is the answer to this question?
Answers
Answer:
(-6,300)
Step-by-step explanation:
Answer:
(-6,300)
Step-by-step explanation:
(x,y)
then:
x = -6
y = 300
then:
(-6 , 300)
Write 15 less than twice a number
Answers
Answer:
2x-15
Step-by-step explanation:
2x-15
REPOST PLEASE HELP ME IVE BEEN WORKING FOREVER I CANT FAIL!!!
1. Bailey withdrew $135 from her checking account.
Part. If x represents the variable in the word problem above, explain what the variable should
represent
Part It: Write an algebraic expression to model the situation.
Part II: Bailey works part-time at a movie theater. The theater pays employees an hourly wage based
on their length of employment. Write an algebraic expression that describes how much Bailey's
employer pays part-time workers. SHOW WORK ON EVERYTHING!!!!!
Answers
Answer:
Step-by-step explanation:
Part 1: x represents her bank account
Part2: 135-x=y
Part 3: I'm not sure how long she's worked there, but it would look like: 7.85x=y. X representing number of hours
What is the value 4 x (-6.3)
Answers
Answer:
-252
Step-by-step explanation:
4 * -6.3
-252
Anytime you multiply a positive number to a negative number, it will always be negative.
Best of Luck!
Answer:
-252 is the correct answer to this question
what is an equation of the line that passes through the points (4,-6) and (8,-4)
Answers
Answer:
[tex]y = \frac{1}{2} x - 8[/tex]
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
Using the gradient formula above,
[tex]m = \frac{ -4 - ( - 6)}{8 - 4} \\ m = \frac{ - 4 + 6}{4} \\ m = \frac{2}{4} \\ m = \frac{1}{2} [/tex]
Substitute the value of m into the equation:
y= ½x +c
To find the value of c, substitute a pair of coordinates.
When x=4, y= -6,
-6= ½(4) +c
-6= 2 +c
c= -6 -2 (-2 on both sides)
c= -8 (simplify)
Thus, the equation of the line is y= ½x -8.
Which option is part of designing a set of experimental procedures?
A. Looking for errors in the collected data
B. Developing a question about a phenomenon
C. Identifying the controlled, manipulated, and responding variables
D. Conducting the experiment
Answers
Answer:
Part of designing a set of experimental procedures is:
C. Identifying the controlled, manipulated, and responding variables
Find the value of x, if x=3/4
1.2(x)+23=156
2.7(x)-45=383
what is the value of x
Answers
Answer:
he actually looks like a bu to the back of your head and you have to stilud and I think your deadly weapon is a ps4 controller or an official at the lot
which graph represents The solution to
6x-2x5X +7
Answers
Answer:
Well where are the options for the graphs?
Solve the equation for the variable.
[tex] - 4v - 9 = 3v + 5[/tex]
v = [?]
Answers
Answer:
-4v -9 = 3v +5
=) -4v -3v = 5 +9
=) -7v =14
=) v = 14/ -7
V = -2Convert this rational number
to its decimal form and round
to the nearest thousandth.
1/7
Answers
Answer:
0.143
Step-by-step explanation:
1) convert to decimal form: 0.142857
2) rounding to nearest thousandth (3rd decimal place)
3) number is higher than 5 so it rounds up to 0.143
5(1-b)=8(b+2) solve for b
Answers
Step-by-step explanation:
Hey there!!
Here,
[tex]5(1 - b) = 8(b + 2)[/tex]
[tex] \: \: \: \: \: 5 - 5b = 8b + 16[/tex]
[tex] \: \: \: \: \: \: \: 8b + 5b = 5 - 16[/tex]
[tex] \: \: \: \: \: \: \: 13b = - 11[/tex]
[tex] \: \: \: \: \: \: \: b = \frac{ - 11}{13} [/tex]
Therefore the value of b is -11/13.
Hope it helps...
Step-by-step explanation:
first open up the brackets according to BODMAS to get
5-5b=8b+16
then collect like terms together and make sure to change the sighns eg - becomes +
5-16=8b+5b
you get
-11=13b
then divide both sides with 13 to get b
-11/13=b ( you can leave as a negative decimal according to the question)
help!!!!!!!! im crying over this stuid question what is the answer
Answers
Step-by-step explanation:
S (2, -3)
T (2, -1)
U (1, 0)
Please solve for X get it done ASAP, please.
Answers
Answer:
x=150
Step-by-step explanation:
40+(x-20)+(x-10)+1/3x=360 add all like terms
x=150
The number is between 0 and 9. It cannot be evenly divided by 2. It is more than five. What is the number?
Answers
Answer:
7
Step-by-step explanation:
Expand The Expression
5 (4a + 5b – 3)
Answers
Answer:
20a + 25b - 15
Step-by-step explanation:
Answer:
I think is:
5 ( 4a + 5b - 3 )
= 5 × 4a + 5 × 5b - 5 × 3
= 20a + 25b - 13
Sara is 7 years older than Sushil. June is 4 years younger than Sushil. If the total of their ages is 87, how old is the eldest of them?
Answers
Answer:
76
Step-by-step explanation:
Answer:
We have:
a) Sushi+7=Sara
b) June=Suhi-4
c) Sushi+Sara+June=87
3 equations with 3 variables, we can solve it.
we can introduce in a) and b) in c) and we get: Sushi+Sushi+7+ Sushi-4=87
3 sushi+3=87 which gives:
3 sushi= 87-3=84
sushi=84/3=28
Sara= sushi+7 (from b)= 35
June= sushi-4=24
We can check 24+35+28=87 All good
Step-by-step explanation:
. Rahul has 260 coins of Rs. 1, Rs.2 and Rs.5 altogether. The total value of the money is Rs.309. The number of Rs.2 coins is three times the number of Rs.5 coins. Find the number of coins of each type.
Answers
coin of 2 = 60 coins
coin of 1 = 80 coins
let the number of coin 5 = Rs.x
so the number of coin 2 = 3x
the number of coin 1 = 160 - 4x
so the amount of rs.5 = 5x
the amount of rs.2 = 6x
a/q
5x + 6x + 160 - 4x = 300
7x = 300 - 160
7x = 140
x = 20
A yard has a perimeter of 400 feet. If eight times the length of the yard equals seventeen times the width, what are its dimensions?
Answers
Answer:
Length of the rectangular yard = 136 feet
Width of the rectangular yard = 64 feet
Step-by-step explanation:
Let
Width = 17 × width
Length = 8 × length
8l = 17w
l = 17w/8
Perimeter of a rectangular yard = 2(length + width)
400 = 2(17w/8 + w)
400 = 34w/8 + 2w
400 = 17/4w + 2w
400 = 17w+8w/4
400 = 25w/4
Cross product
1600 = 25w
Divide both sides by 25
w = 1600/25
= 64 feet
Recall,
l = 17w/8
= 17*64 / 8
= 1088/8
= 136 feet
Length of the rectangular yard = 136 feet
Width of the rectangular yard = 64 feet
Determine the distance between the point (-7,4) and (2,44)
Answers
Answer:
41
Step-by-step explanation:
Distance = √[(x1-X2)²+(y1-y2)²]
Sub the values in
and you would get the answer 41.
what is the square of 3844
Answers
Answer:62
Step-by-step explanation:
62^2