ax-5a+4x-20
a(x-5)+2(2x-10)
Answer:
To get from ax-5a+4x-20 to a(x-5)+2(2x-10). You had to of found a common factor.
Another (better) way to simply this would be finding the greatest common factor.
a(x-5)+4(x-5)
(a+4)(x-5)
Find the value of r.
Answer:
r=0
Step-by-step explanation:
the line passes through the origin which means there is no y-intercept
Help plsss 10 points!!!!!! I will give you brianless
10
11
Plsss
Answer: Quadrant 4
Step-by-step explanation:
what is 31/4 + 19/20 insimplest form
Answer:
87/10
is already in the simplest form. It can be written as 8.7 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 87 and 10 is 1
Divide both the numerator and denominator by the GCD
87 ÷ 1
10 ÷ 1
Reduced fraction:
87 /10
Therefore, 87/10 simplified to lowest terms is 87/10.
Hope this helps!
combing like terms -4(7 + 3a) -6a(4a - 5)
Answer:
-4(7 + 3a) - 6a(4a - 5) = −24[tex]x^{2}[/tex]+18a−28
Step-by-step explanation:
Answer:
24a^2-18a+28
Step-by-step explanation:
-4(7 + 3a) -6a(4a - 5)
-28-12a-24a^2+30a
-24a^2+18a-28
24a^2-18a+28
Angle A and Angle B are supplementary, mZA = (6x + 72) and mZB = (2x + 28)". Find x, the
mZA and the mZB.
Answer:
x = 10
m<A = 132 degrees
m<B = 48 degrees
Step-by-step explanation:
Supplementary = angles that make up 180 degrees
We know <A and <B are supplemntary, so 2x+28+6x+72 = 180.
8x + 100 = 180
8x = 80
x = 10
I input 10 into the equations to solve for the measures of the angles
I need help on this,can anyone help me?
Answer:
no nobody can help you
Step-by-step explanation:
Find the area of a rectangle with a length of 1/4 inch and a width of 28 inches
Answer:
The area of the rectangle would be 7
Step-by-step explanation:
Which relation is a function?
Which of these points is closest to the point (7,1)?
Answer:
6,7
Step-by-step explanation:
simplify 5.42 - 4.987
Answer:
0.433
Step-by-step explanation:
5.42 - 4.987
Subtract each column of digits starting from right to left.
5.420
- 4.987
If the digit being subtracted is larger than the digit above it then borrow a digit from the next left column.
5.420
- 4.987
Borrow 1 from 5:
4.(10+4)20
- 4.987
4.(14)20
- 4.987
Borrow 1 from 14:
4.(13)(10+2)0
- 4.987
4.(13)(12)0
- 4.987
Borrow 1 from 12:
4.(13)(11)(10+0)
- 4.987
4.(13)(11)(10)
- 4.987
Subtract the second digit from the first:
(10 - 7 = 3):
4.(13)(11)(10)
- 4.987
= 3
(11 - 8 = 3):
4.(13)(11)
- 4.987
= 33
(13 - 9 = 4):
4.(13)
- 4.987
= 433
4.(13)
- 4.987
= .433
(4 - 4 = 0):
4.(13)
- 4.987
= 0.433
If 1 inch represents 10 miles on a map then how many inches will represent 120 miles ?
Answer:
12 inches
Step-by-step explanation:
We can write this as a proportion:
inches/miles = inches/miles
1/10 = x/120
Solving for x, we get 12 inches.
24 - 6(2x-4) = 8x - 32
Answer:
X = 4
Step-by-step explanation:
24 - 12x + 24 = 8x - 32
48 - 12x = 8x - 32
+12x. +12x
48 = 20x - 32
+32. +32
80 = 20x
divide both sides by 20
x = 4
7. Which of the following illustrates the commutative property of multiplication?
(1) 5(2x) =(5-2)x
(2) 4(2x+5) = 4 - 2x+4-5
(3) x2 +5=5+x2
(4) 2x -3x = 2-3-X-X
show work pleasee
An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a rate of 34 m per year at a time when the region is 450 m wide. How fast is the area changing at that point in time?
Answer:
The area is changing at the point of [tex]\mathbf{61200 m^2/year}[/tex]
Step-by-step explanation:
From the given information:
Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w
where;
L = length and w = width of the rectangle
Suppose the Length L is twice the width w
Then L = 2w --- (1)
From The area of a rectangle
A = L × w
A = 2w × w
A = 2w²
Taking the above differentiating with respect to time
[tex]\dfrac{dA}{dt }= 4w \times \dfrac{dw}{dt} --- (2)[/tex]
At the time t
[tex]\dfrac{dw}{dt}= 34 m \ per \ year ; w = 450 \ m[/tex]
Replacing the values back into equation 2, we get:
[tex]\dfrac{dA}{dt }= 4 \times 450 \times 34[/tex]
[tex]\mathbf{\dfrac{dA}{dt }= 61200 m^2/year}[/tex]
2. At Lucky's Go-Cart Track it costs $5 to rent a go-cart. They then charge a fee of $4 per hour. At
Speedy's Race Track it costs $10 to rent a go-cart plus $2 per hour. Which equation would help you to
solve how many hours you would need to rent a go-cart at Speedy's Race Track for it to be cheaper
than Lucky's Go-Cart Track?
A) 5+4h-10-2h
B) 5h+4=10h+2
C) 10+2h=5+4h
D) 5 2h=10+4h
Answer:
C) 10+2h=5+4h
Step-by-step explanation:
I think it's C because it says the equation correctly. (Remember we don't know how many hours a persons going to be there so that would be h.)
Kyle owns an orchard nearby. He wants to charge one flat rate per pound for his apples no matter how much someone buys. He wants 16 pounds of apples at his orchard to cost $1.50 less than16 pounds of apples at Pam’s Orchard. How much should Kyle charge per pound?
Answer:
(P - 1.50) / 16
Step-by-step explanation:
Given that:
Intention = 16 pounds of apple at Kyle's orchard should be $1.50 less than 16 pounds of apple t Pam's orchard.
Let cost of 16 pounds apple at Pam's orchard = p
Kyle's charge per pound will be :
Cost of 16 pound apple at Kyle's orchard :
p - $1.50
If 16 pounds of apple cost p - 1.50
1 pound of apple will cost :
(P - 1.50) / 16
HELP ME OUT REAL QUICK PLEASEEEEEEE
Answer:
1 1/2
Step-by-step explanation:
5/6 + 3/8 = 1.208
Please help! I need your help! If you help you get points. If you get points your smart.
D: She needs to keep going to find more digits.
Which is the greater value? The sum of 89or 45 or the difference between 89and 45
Answer:
diffrence
Step-by-step explanation:
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 28 N acts on a certain
object, the acceleration of the object is 7 m/s². If the acceleration of the object becomes 3 m/s2, what is the force?
Answer:
Step-by-step explanation:
F=ma
28=7m
m=28/7=4
F=4a
when a=3 m/s²
F=4×3=12 N
Allan wanted to become a machine salesperson. He was offered a job that paid him $40,000 a year plus a commission of $300 for every machine he sells. If Allan made &50,800 last year, how many machine did he sell?
Answer:
36
Step-by-step explanation:
50800-30000=10800/300=36
:)
Which shows the best use of the associative and commutative properties to make simplifying 2/5 - 15 + 8 - 1/5 + 3
Answer:
1/5 - 4
Step-by-step explanation:
First add -15, 8 and 3 to simplify.
And add 2/5 and -1/5
Now you should have 1/5 - 4
Find the length of BD and EC.
A
D
9
8
B
с
BD =
EC =
What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?
Answer:
Step-by-step explanation:
577.144
Find the median of the numbers: 5, 4, 10, 3, 3, 4, 7, 4, 6, 5.
Answer:
4.5 ywww
Step-by-step explanation:
-5+6/3(2)+9^2 simplify this equation
Answer:
80
Step-by-step explanation:
-5+6/3(2)+9^2
−5+(2)(2)+92
−5+4+92
−1+92
−1+81
= 80
Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = f (b) − f (a) b − a . If the Mean Value Theorem cannot be applied, explain why not.
f(x) = x^3 + 2x, [-1,1]
Answer:
There is a value of [tex]c[/tex] in (-1, 1), [tex]c = 0.577[/tex].
Step-by-step explanation:
Let [tex]f(x) = x^{3}+2\cdot x[/tex] for [tex]x \in[-1,1][/tex], we need to prove that [tex]f(x)[/tex] is continuous and differentiable to apply the Mean Value Theorem. Given that [tex]f(x)[/tex] is a polynomical function, its domain comprises all real numbers and therefore, function is continuous.
If [tex]f(x)[/tex] is differentiable, then [tex]f'(x)[/tex] exists for all value of [tex]x[/tex]. By definition of derivative, we obtain the following expression:
[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{(x+h)^{3}+2\cdot (x+h)-x^{3}-2\cdot x}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{x^{3}+3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot x+2\cdot h-x^{3}-2\cdot x}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot h}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} 3\cdot x^{2}+ \lim_{h \to 0} 3\cdot x \cdot h+ \lim_{h \to 0} h^{2}+ \lim_{h \to 0} 2[/tex]
[tex]f'(x) = 3\cdot x^{2}+2[/tex] (Eq. 2)
The derivative of a cubic function is quadratic function, which is also a polynomic function. Hence, the function is differentiable at the given interval.
According to the Mean Value Theorem, the following relationship is fulfilled:
[tex]f'(c) = \frac{f(1)-f(-1)}{1-(-1)}[/tex] (Eq. 3)
If we know that [tex]f(-1) = -3[/tex], [tex]f(1) = 3[/tex] and [tex]f'(c) = 3\cdot c^{2}+2[/tex], then we expand the definition as follows:
[tex]3\cdot c^{2}+2 = 3[/tex]
[tex]3\cdot c^{2} = 1[/tex]
[tex]c = \sqrt{\frac{1}{3} }[/tex]
[tex]c \approx 0.577[/tex]
There is a value of [tex]c[/tex] in the interval (-1, 1), [tex]c = 0.577[/tex].
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 percent of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is robbed, what is the probability the doors were left open?
Answer:
0.625 or 62.5 %
Step-by-step explanation:
Calculation to find the probability that the doors were left open
First step is to find the probabilities of doors open and robbed
Probability of door open and robbed =
(25/100)*(5/100)
Probability of door open and robbed= 0.25*0.05
Probability of door open and robbed=0.0125
Second step is to find the probabilities of doors closed and robbed
Probability of door closed and robbed=
(75/100)*(1/100)
Note that 3/4 will give us 75%
Probability of door closed and robbed=0.75*0.01
Probability of door closed and robbed=0.0075
Third step is to find the probability of getting robbed
Probability of getting robbed =0.0075+0.0125
Probability of getting robbed=0.02
Last step is to find the probability that the doors were left open
Using this formula
Probability of open doors = P[door open & robbed] / P[robbed]
Let plug in the formula
Probability of open doors= 0.0125/0.02
Probability of open doors=0.625*100
Probability of open doors=62.5 %
Therefore the probability that the doors were left open will be 0.625 or 62.5 %
Which graph shows three points that represent ratios?
Answer:
D
Step-by-step explanation:
