what is -4 (-6x + 3) = 12
Answers
Answer: x = 1
Step-by-step explanation:
Simplifying
-4(-6x + 3) = 12
Reorder the terms:
-4(3 + -6x) = 12
(3 * -4 + -6x * -4) = 12
(-12 + 24x) = 12
Solving
-12 + 24x = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 24x = 12 + 12
Combine like terms: -12 + 12 = 0
0 + 24x = 12 + 12
24x = 12 + 12
Combine like terms: 12 + 12 = 24
24x = 24
Divide each side by '24'.
x = 1
Simplifying
x = 1
Answer:
Step-by-step explanation: heyy... the pic attached below shows all the steps with a brief explanation. I hope it helps u !!!
Related Questions
solve for c
solve for r
Answers
Answer:
Step-by-step explanation:
9(c+7)=27
9c+63=27 subtract 63 from both sides
9c= -36 divide by 9
c= -4
3(2r-8)+4r=76 foil
6r-24+4r=76 combine like terms
10r-24=76 add 24 to both sides
10r+100 divide by 10
r= 10
Choose from the drop-down menus to match the trigonometric expression with its value. Sine StartFraction 2 pi Over 5 EndFraction cosine StartFraction pi Over 10 EndFraction + cosine StartFraction 2 pi Over 5 EndFraction sine StartFraction pi Over 10 EndFraction = Cosine 13 degrees cosine 47 degrees minus sine 13 degrees sine 47 degrees = Sine StartFraction 2 pi Over 5 EndFraction cosine StartFraction 8 pi Over 5 EndFraction + cosine StartFraction 2 pi Over 5 EndFraction sine StartFraction 8 pi Over 5 EndFraction =
Answers
Answer:
1
0.5
0
Step-by-step explanation: got it right on edge
Answer:
1
0.5
0
Step-by-step explanation:
just took it
Pleaseee helpppp!!!!! I keep getting this answer wrong on the test :(
Answers
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot
Answers
Answer:
20.62 feet
Step-by-step explanation:
The ladder propped against a building forms a right angle triangle
Height of the ladder (hypotenuse) = 21 feet
Base of the ladder from the building (adjacent) = 4 feet
Height of the building (opposite) = x feet
Hypotenuse ² = opposite ² + adjacent ²
21² = x² + 4²
21² - 4² = x²
441 - 16 = x²
425 = x²
x = √425
= 20.62 feet
Answer: 20.62 ft or rounding it to 20.6 ft
Step-by-step explanation:
Simplify the following equation (2^3)^-2
Answers
3 * -2 = -6
It would be 2^-6
Format: a^-b = 1/a^b
1/2^6 = 1/64
The solution is 1/64
A model car is built to a scale of 1 in. : 2.5 ft. If the model is 5.8 in. Long how long is the car in real life?
Answers
Answer:
14.5 ft
Step-by-step explanation:
We are told that the model car is built to a scale of 1 in. : 2.5 ft.
That means 1 inches represents 2.5 ft in actual measurement.
Thus, for a 5.8 inch long model, the real life measurement is;
(5.8 inch × 2.5 ft)/1 inch = 14.5 ft
What is the sum of the exterior angles, one at each vertex, of any polygon?
Answers
Answer:
Polygon Exterior Angle Sum Theorem. If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .
PLEASE HELP ME ASAP!!!! My entire grade depends on these questions and I need to show the work that go me there
I know it is a long one, but I am giving away all of my points!!! I know most of the answers, but for all exept the graphing questions the work needs to be shown!
Consider the quadratic function.
f(x)=-(x+4) (x-1)
(a) What are the x-intercepts and y-intercept?
(b) What is the equation of the axis of symmetry?
(c) What are the coordinates of the vertex?
(d) Graph the function on the coordinate plane. Include the axis of symmetry.
Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the
development of a recreational park on the west side of town. A community action group interested in
preserving the environment claims that 45% of the town’s residents favor the development of a recreational
park.
To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each
with a sample of 200, using the point estimate of the population. The minimum sample proportion from the
simulation is 0.46 and the maximum sample proportion is 0.76.
(a) What is the point estimate of the population?
(b) The margin of error of the population proportion is found using an estimate of the standard deviation.
What is the interval estimate of the true population proportion?
(c) The margin of error of the population proportion is found using the half the range.
What is the interval estimate of the true population proportion?
(d) Is the community action group’s claim likely based on either interval estimate of the true population
proportion? Explain.
Solve the system of equations. Show your work.
y=x^2-3x+4
x+y=4
Answers
Answer:
Answers are in bold
Step-by-step explanation:
Part 1A
Use the Zero Product Property to find the x-intercepts:
0=-(x+4)(x-1)
0=(x+4)(x-1)
0=(x+4)
-4=x
x=-4
0=(x-1)
1=x
x=1
So the x-intercepts are x=-4 and x=1 which is also (-4,0) and (1,0)
For the y-intercepts, plug in x=0:
f(x)=-(0+4)(0-1)
f(x)=(-4)(-1)
f(x)=4
So the y-intercept is y=4 which is also (0,4)
Part 1B
In general, the axis of symmetry is equal to x=h in the equation y=(x-h)^2+k
For a parabola, the axis of symmetry is equal to x=-b/2a, so we expand the given equation and then plug in the values of "a" and "b" to get the axis of symmetry:
f(x)=-(x+4)(x-1)
f(x)=-(x^2+3x-4)
f(x)=-x^2-3x+4
So now we know a=-1 and b=-3, therefore we can plug them in:
x=-b/2a
x=-(-3)/2(-1)
x=3/-2
x=-3/2
x=-1.5
So the equation of the axis of symmetry is x=-1.5
Part 1C
We'll use the equation x=-b/2a to get the x-coordinate for the vertex (which we already know is x=-1.5), then plug in that value of x in the original equation to get the y-coordinate for the vertex:
f(x)=-(-1.5+4)(-1.5+1)
f(x)=-(2.5)(-0.5)
f(x)=-(-1.25)
f(x)=1.25 <-- y-coordinate
So the coordinates of the vertex are (-1.5,1.25)
Part 1D
See the image below
I'll let someone else do the last 4 questions as I am unable to answer them.
1/3+ 1/8 show your work a with equation
please hurry
Answers
Answer: 11/21
Step-by-step explanation:
Answer:
11/24 or 0.453
Step-by-step explanation:
1/3 + 1/8
1/3 × 8/8 = 8/24
1/8 × 3/3 = 3/24
8/24 + 3/24 = 11/24
;-; help pleaseeeeee e e e
Answers
Answer:
B
Step-by-step explanation:
Because,
t= the amount of money
w= weeks
+ the 15 when she washed the car
17q=476 Solve for q
Answers
Answer: The answer is q = 28.
Jacob made $45.50 selling lemonade. He wants to make 15% more the next time he sells his lemonade. How much money does Jacob want to make?
PLEASE HELP!! FREE BRAINLY!! QUICK!
Answers
can someone please answer this
Answers
Answer:
y = -0.6x + 24.6
Step-by-step explanation:
how to find an opposite ray?
Answers
Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (QA and QB in the figure above) form a single straight line through the common endpoint Q. When the two rays are opposite, the points A,Q and B are collinear.
2x - 3y = 6
Find the x and y Intercepts
Answers
Answer:
x-intercept(s): (3,0)
y-intercept(s): (0,−2)
Step-by-step explanation:
Answer:
x=3 and y=-2
Step-by-step explanation:
2x - 3y = 6
cancel out the y
2x - 3(0) = 6
2x = 6
divide both sides by 2
x = 3
2x - 3y = 6
cancel out the x
2(0) - 3y = 6
-3y = 6
divide both sides by -3
y = -2
Hope this helps!!
At one gas station, gas costs $2.75 per gallon. Complete the equation that relates the total cost, C, to the number of gallons of gas purchased, g.
C = __
Answers
Answer:
C = 2.75
Step-by-step explanation:
it does not tell how much there for it is 1 gallon
Divide 6 divided by 3/5
Answer only if u know please:)
Answers
Answer:
The answer is 10 or 10/1
Here are the instruction plz help asap
Part 1
You will need to measure five different people. Record your measurements on a piece of paper. Using a tape measure or ruler, measure the length (in inches) of a person’s left foot and then measure the length (in inches) of that same person’s forearm (between their wrist and elbow). Refer to the diagrams below. You will have two measurements for each person.
(An easy way to measure the length of a foot is to have your subject stand on a piece of paper. Then, trace their foot and measure the outline once they move off the paper.)
To measure the forearm, measure inside the arm, between the wrist and the elbow.
Part 2
Organize your data and find the rate of change.
Create a table of the measurements for your data. Label the forearm measurements as your input and the foot measurements as your output.
Select two sets of points and find the rate of change for your data.
Describe your results. If you had to express this relation as a verbal statement, how would you describe it?
Part 3
Compare rates of change.
The equation below can be used to find the length of a foot or forearm when you know one or the other.
(length of the foot) = 0.860 • (length of the forearm) + 3.302
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.
Using this equation, how long would the foot of a person be if his forearm was 17 inches long?
What is the rate of change of the equation from Part A?
Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?
Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
For this option you will submit the details from all three parts. Submit your measurements, the table, and description that you created in Parts 1 and 2. Submit your answers to the questions from Part 3.
Answers
Answer:
again please don't just straight up copy it just use it as a base please also i tried my best and don't know if i got it right
Step-by-step explanation:
Part 2
Organize your data and find the rate of change.
I’m sorry i didn’t know how to make a table so i just did this
Person number 1- Left foot is 9 inches Forearm is 8.5 inches
Person number 2- Left foot is 7.5 inches Forearm is 7 inches
Person number 3- Left foot is 11 inches Forearm is 10.5 inches
Person number 4- Left foot: is 10 inches Forearm is 9.5 inches
Person number 5- Left foot is 6 inches Forearm is 5.5 inches
The rate of change equals y=x-0.5
I believe that it's a function because there is a relationship between 2 variables.
Part 3
Compare rates of change.
The equation below can be used to find the length of a foot or forearm when you know one or the other.
(length of the foot) = 0.860 • (length of the forearm) + 3.302
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.
Using this equation, how long would the foot of a person be if his forearm was 17 inches long?
i don’t know how to type all my formulas and work so i'm just going to say the answer i got the rate of change = 0.86x or y=0.86x+3.302
What is the rate of change of the equation from Part A?
For Part A i got y=x-0.5 and that part A has the greater rate of change.
Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?
Well, the values have to be different because there are different rates of change and different linear coefficients; and also each input value will result in a different output value because they all have different parameters as well.
Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
Yes, it is a function because each input from part A fits well together with the output on the other set, which matches the definition of a function.
Answer:
11.9
Step-by-step explanation:
Autumn went to the store with $20 in her bank account. She spent jeans that cost $14 and a t-shirt that costs $8. How much money is in her bank account now?
Answers
Answer:
She is 2 dollars in debt. Or $-2
Step-by-step explanation:
14 + 8= 22. She only had 20 dollars so the purchase she made left her with $-2
What is the slope of the line that passes through the points M (4,-5) and N (0, -8)?
A.) -3/4
B.) 13/4
C.) -4/3
D.) 3/4
Answers
Answer:
D. 3/4
Step-by-step explanation:
using the y2-y1/x2-x1 to find the slop: -8--5/0-4 = 3/4
Answer:D
yee
Step-by-step explanation:
the opposite of 5x and 5x+8?
Answers
the opposite or addictive increase of 5x is -5x.
the opposite or addictive increase of 5x + 8 is -5x -8.
Answer:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+85 f - 1 ( x ) = x 5 + 8 5 is the inverse of f(x)=5x−8 f ( x ) = 5 x - 8 .
What is the initial value in this question y=8x+6 8 or 6?
Answers
Answer:
it should be an 8
Step-by-step explanation:
The initial value in this question y = 8x+6 will be 8 .
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The equation is given as;
y = 8x+6
We can see that the equation contains two terms that are 8x and 6.
The initial value is the first number of the first term in the equation.
Here, the first term is 8x.
Hence, the initial value in this question y = 8x+6 will be 8 .
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
Find the perimeter of the shaded region of this composite figure.
Answers
Answer:
perimeter of shaded region:
area of rectangle- area of semicircle
l×b‐(pie r²) diameter of circle‐6m; Radius‐3
8×6‐(3.14×3×3)
42— 28.26=13.74m
HOPE IT WILL HELP YOU
Pllzzzz help it’s an exam !!!! A side of the triangle below has been extended to form an exterior angle of 125 . Find the value of x
Answers
Answer:35
Step-by-step explanation:
take 180 and subtract those numbers and u get ur answer
help plz brainliest to best answer
Answers
Answer: -1/27
Step-by-step explanation:
Answer:
-1/27
Step-by-step explanation:
what is the slope for (-11, 1) and (-2, 6)?
Answers
Answer:
5/9
Step-by-step explanation:
You can verify me by using the y2-y1/x2-x1 formula
zora recently got an afterschool job to save money to buy a car. She opened a savings account and deposits a fixed amount each week so that she can quickly meet her savings goal. The table below shows the relationship.
Answers
Answer:
40
Step-by-step explanation:
The initial value of the function is 40, which represents the amount of money she deposits each week
Does anyone else need to do Ed.genuity?
Answers
No, if you don’t mind what is that?
A password is 4 characters long, consisting of 2 letters and 2 numbers. The password must begin and end with a
letter. If numbers can be repeated but letters cannot, how many possibilities are there?
a. 65,000
b. 60,840
c. 58,500
d. 52,650
Answers
Answer:
a.
65,000
Step-by-step explanation:
There are 65000 possibilities of 4 character-password
What is a password?A password is a security code that is used for verifying identities
The password has 4 characters.
The password must begin and end with a letter.
So the selections are:
First = 26
Last = 25
The other selections are:
Second = 10 digits
Third = 10 digits
So, the number of password is:
Password = 26 * 10 * 10 * 25
Evaluate
Password = 65000
Hence, there are 65000 possibilities of 4 character-password
Read more about arrangements at:
https://brainly.com/question/6032811
30 cents in each dollar is a paid tax. what fraction is paid in tax? what percentage is not paid in tax?please i need an answer within 10 minutes I'm In an exam
Answers
Answer:
30 cents of a dollar is 30% tax paid and 70% not paid.
A dollar is 100 cents.
Step-by-step explanation: