Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 11}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 2(3 - 2x) = - 6x + 8(x + 2)}[/tex]
Distribute -2 through the parentheses
Similarly, Distribute 8 through the parentheses
[tex] \dashrightarrow{ \sf{ - 6 + 4x = - 6x + 8x + 16}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{ - 6 + 4x = 2x + 16}}[/tex]
Move 2x to left hand side and change it's sign
Similarly, move 6 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{4x - 2x = 16 + 6}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{2x = 16 + 6}}[/tex]
Add the numbers : 16 and 6
[tex] \dashrightarrow{ \sf{2x = 22}}[/tex]
Divide both sides by 2
[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{22}{2} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 11}}[/tex]
Hope I helped!
Best regards! :D
Mateo He’s going to solve the equation below. Which of the following represents the equation after combining the terms? -8x +23-22+9=182
Answer:
-21.5
Step-by-step explanation:
-8x+23-22+9=182
-8x+1+9=182
-8x+10=182
-10 -10
-8x=172
x=172÷-8
x=-21.5
-21.5 IS THE ANSWER
You start at (7, 1). You move right 3 units.
Answer:
4,1
Step-by-step explanation:
if f(x)=4x^2-6
find all x such that f(x)= 106
Answer:
50
Step-by-step explanation:
Answer:
[tex]2\sqrt7,-2\sqrt7[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(x)=4x^2-6[/tex]
And we want to find all x such that f(x) is 106. So, substitute 106 for f(x):
[tex]106=4x^2-6[/tex]
Add 6 to both sides:
[tex]112=4x^2[/tex]
Divide both sides by 4:
[tex]x^2=28[/tex]
Take the square root of both sides:
[tex]x=\pm\sqrt{28}[/tex]
Simplify the square root:
[tex]x=\pm\sqrt{28}=\pm\sqrt{4\cdot 7}=\pm2\sqrt7[/tex]
So, those are the two values that will satisfy our requirement.
And we're done!
What is a number multiplied by 12 is 84
Hey there! I'm happy to help!
Let's call our number n. Here is the information we have.
n×12=84
We want to figure out what n equals. To do this, we have to get it by itself in the equation. What we will do is cancel out the 12 by dividing both sides by 12.
n×12/12=84/12
n=7
Therefore, our number is 7.
Have a wonderful day! :D
Cups of dog food is recommended for a 25 pound dog
Answer:
100 cups of food is for a 25 pound dog
write the sentence as an equation
the product of y and 6, add to 310 is y
y(6)+310=y
equals is =
product of is ×
add to is +
Benn Cornell and Tom Ingulli drove to Chicago a distance of 510 miles, their car gets 23 miles per gallon of gasoline. gasoline costs them $2.59 per gallon. how much did they spend for gasoline on there trip?
Answer:
about $57.42
Step-by-step explanation:
we know how many miles they drove in all (510) and how many miles they can drive per gallon (23)
we need to find out how many gallons of gas they used by dividing the total number of miles they drove (510) by the number of miles per gallon (23) which is about 22.17
510 ÷ 23 = 22.17
we then need to find out how much money they spent on the total number of gallons of gas they purchased by multiplying 22.17 by the amount of money for one gallon of gas ($2.59)
22.17 × 2.59 = $57.42
Select the correct answer.
What is the solution for x in the equation?
-4 + 5x - 7 = 10 + 3x - 2x
A.x=4/21
B.x=21/4
C.x=13/4
D.x=4/13
Answer:
B
Step-by-step explanation:
I've taken a picture of the way I solved it.
The required simplified solution of the given expression is x=21/4. Option B is correct.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
-4 + 5x - 7 = 10 + 3x - 2x,
Adding alike terms and And isolate the terms containing variable x,
-11 + 5x = 10 +x
5x - x = 10 + 11
4x = 21
x = 21 / 4
Thus, the required simplified solution of the given expression is x=21/4. Option B is correct.
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(−8r5t8)(−5rt) Please help
Answer:
40r^6t^9
Step-by-step explanation:
Your cell phone dies. Cost of repair is $20 plus $16 per hour. You have $68 for the repair. How many hours can you afford?
Answer:
3 hours
Step-by-step explanation:
$20 + $16 = $36 base
$36 + $16 = $52
$52 + $16 = $68
3 HOURS
What is the base 2 equivalent of 6010? * 111101 base 2 111100 base 2 110000 base 2 110100 base 2
Answer:
111100 base 2
Step-by-step explanation:
The conversion of 60 base 10 to base 2
When converting a number from base 10 to base 2, the following steps are taken:
a) The number in base 10 is divided by 2 and the remainder is recorded, this continues until the remainder is less than 2.
b) The remainder from the bottom to the top are arranged so as to get the representation of the number in base 2.
60 base 10 to base 2
60 ÷ 2 = 30 remainder 0
30 ÷ 2 = 15 remainder 0
15 ÷ 2 = 7 remainder 1
7 ÷ 2 = 3 remainder 1
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
The remainder from bottom to top is 111100 base 2.
(60)₁₀ = (111100)₂
Zx and Zy are supplementary angles. Zy measures 116º.
What is the measure of Z?
2x² - (5 + 2x) + 6x²
Answer:
8x²-2x-5
Step-by-step explanation:
2x²-(5+2x)+6x²
2x²-5-2x+6x²
2x²+6x²-2x-5
8x²-2x-5
Hope this helps ;) ❤❤❤
Answer:
[tex]8 {x}^{2} - 2x - 5[/tex]
Step-by-step explanation:
[tex]2 {x}^{2} - (5 + 2x) + 6 {x}^{2} [/tex]
[tex]2 {x}^{2} - 5 - 2x + 6 {x}^{2} [/tex]
[tex]8 {x}^{2} - 2x - 5[/tex]
I need help with this pls ASAP
Answer: G.
Step-by-step explanation: you should divide both sides by 3. 3 divided by 3 is 0, and -12 divided by 3 is -4. therefore, your answer is (0,-4)
Answer: G (0,-4)
Step-by-step explanation:
You can use this website called "Desmos Graphing Calculator." The answer is G.(0,-4). It helps me a lot with graphing and graphing linear equations.
If f(x)=(3+ X) over (X -3) what is f(a+2)
Answer:
5+a/a-1
Step-by-step explanation:
3+a+2/a+2-3=5+a/a-1
Express each rational number in decimal form
17)
[tex] - \frac{7}{4} [/tex]
Answer:
It is a negative 1.75. (-1.75)
can someone help me with this?
Answer:
[See Below]
Step-by-step explanation:
✦ The pattern is y ÷ 8. (So just divided by 8 each time.)
✧ 512 ÷ 8 = 64
✧ 64 ÷ 8 = 8
✧ 8 ÷ 8 = 1
✧ 1 ÷ 8 = 0.125
✧ 0.125 ÷ 8 = 0.015625
✦ So then the next values would be:
✧ 8⁰ = 1
✧ 8⁻¹ = 0.125
✧ 8⁻² = 0.015625
~Hope this helps Mate. If you need anything feel free to message me.
what is 2k-3(2k-3)=45
Answer:
k = -9
Step-by-step explanation:
Horizontal and parallel lines b and c are cut by transversal a. At the intersection of lines b and a, the bottom right angle is 50 degrees. At the intersection of lines c and a, the top left angle is y degrees. What is the value of y? y = 30 y = 50 y = 110 y = 130
Answer:
y=50
Step-by-step explanation:
look at photo attached
Answer:
y=50
Step-by-step explanation:
on edge2021
What is 7x+7=2(x+1)
Answer:
7X+7=2(X+1)
7X+7=2X+2
7x-2X =2-7
5X/5 =-5/5
. X =-1
An 8ft length of 4 inch wide crown molding costs $15. How much will it cost to buy 24 ft of crown molding?
Answer: 123$
Step-by-step explanation:
I dont even know but this gives me free five points
what is the answer for 5(u-5)
Answer:
5u-25
Step-by-step explanation:
We have to simplify by distributing 5 to the variable and the number.
5(u-5)
5(u)5(-5)
5u-25
Pls answer the question I need it asap I'm literally crying
Newton's Second Law states acceleration equals force
divided by mass, a = F/M. This graph shows f(x) = 5/x , an
acceleration based on a constant force of 5 Newtons
applied to different objects. How is f(x) transformed to
get g(x) and what is the new equation?
Answer:
2f(x); g(x) = 10/x
Step-by-step explanation:
The second option on edge
The new equation is, g(x) =2f(x), g(x) =10/x. Option B is correct.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
Given data in problem is;
a = F/M
f(x) = 5/x
We have to examine each option given and observe the graph for the function we got;
g(x) = 2f(x)
Substitute the values we get;
g(x) = 2×(5/x)
g(x)=10/x
The new equation is, g(x) =2f(x), g(x) =10/x.
Hence, option B is correct.
The complete question and graph are attached below.
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Find a parametrization of the circle of radius 3 in the xy-plane, centered at (−2,2), oriented counterclockwise. The point (1,2) should correspond to t=0. Use t as the parameter for all of your answers.
Answer:
x = 3*cos(t) - 2
y = 3*sin(t) + 2
Step-by-step explanation:
The equation for a circle of radius 3 and centered at the point ( h , k ) ( -2 , 2 ) is:
( x - h )² + ( y - k )² = r²
In this particular case
h = - 2 k = 2 and r = 3
Then to parametrizace the equation
x = r* cos(t) + h
y = r*sin(t) + k
x = 3*cos(t) + (- 2) ⇒ x = 3*cos(t) - 2
y = 3 *sin(t) + (2) ⇒ y = 3*sin(t) + 2
Now :
when t = 0 x should be 1
Then x = 3 cos(0) - 2 x = 3 - 2 x = 1
and t = 0 y should be 2
Then y = 3*sin(t) + 2 ⇒ y = 3*sin(0) + 2 y = 2
Michael bought a classic car for $8,500. He restored it then added 150% markup before advertising it for sale. What is the amount of markup? is it 21250? or I'm I wrong thank you
Answer:
$12750
Step-by-step explanation:
Initial price = $8500
Markup = 150%
Markup amount:
$8500*1.5 = $12750Selling price would be:
$8500 + $12750 = $21250What are t + 8 + 3t terms and like
Answer:
t+8+3t
8+4t
Step-by-step explanation:
I guess the question is incomplete
if Xandy are integers and(x-y)=4, what is the main minimum possibile value of xy?
Answer:
-4
Step-by-step explanation:
Hello,
x-y=4 <=> x=y+4
so, xy=y(y+4)
[tex]y(y+4)=y^2+4y=(y+2)^2-4[/tex]
so this is minimum for y = -2 and the minimum value is -4
thanks
The sum of five and triple a number what is it please
Answer:
5 + 3a
Step-by-step explanation:
The expression is:
5 + 3a
A rectangle has a length of 12 yards less than 10 times it’s width. If the area of the rectangle is 880 yards
Answer: The length is 88 yards and the width is 10 yards. Look into the steps for more information.
Step-by-step explanation:
The length is 12 yards less than 10 times the width so we can represent that by the equation L = 10w - 12
And the area is 880 so the width times the length has to equal 880. the width is w and the length is 10w -12
w( 10w -12 ) = 880 solve for w
10w^2 - 12w = 880 subtract 880 from both sides
-880 -880
10w^2 - 12w - 880 = 0 They share the same factors so dive each side by 2
5w^2 - 6w^2 - 440 = 0
a= 5 b = -6 and c=-440
The quadratic formula says that x= -b ± [tex]\sqrt{b^2- 4ac} / 2a[/tex]
x= 6 ±[tex]\sqrt{8836} / 5[/tex]
x= 6 ± 94 /10
x= 100 /10
x = 10
In this case the width is 10 yards.
The length is 12 less than 10 times the width .
So L = 10(10) - 12
L = 100- 12
l = 88
So the length is 88
The required length and width are 229 and 27 yards.
It is required to find the dimension of rectangle.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Given:
A=l*w
w=width
10w-12=length
According to given question we have,
6183=(10w-12)(w)
6183=10[tex]w^{2}[/tex]-14w
9[tex]w^{2}[/tex]-14w-6183=0
By simplify we get,
(9w+229)(w-27)=0
w-27=0
w=27 yards
l=9*27-14=229 yards
Therefore, the required length and width are 229 and 27 yards.
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