Answer:
[tex]y=-\frac{1}{4}x - \frac{2}{3}[/tex]
Step-by-step explanation:
Hi there!
We are given the equation 3x + 12y = -8 and we want to convert it into slope-intercept form
The equation is currently in standard form, which is ax+by=c, where a, b, and c are free integer coefficients
Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept
Notice that in standard form, the terms containing x and y are both on the same side, but in slope-intercept form, the expression is set equal to y (x is on the other side)
So first, we'll need to subtract 3x from both sides to remove it from the left side.
3x + 12y = -8
-3x -3x
_______________
12y=-3x-8
Now divide both sides by 12, since we want to isolate y by itself (it's a bit like solving the equation for y)
12y=-3x-8
÷12 ÷12
___________
y=-3/12x -8/12
We can simplify the fractions to get:
[tex]y=-\frac{1}{4}x - \frac{2}{3}[/tex]
This is our final answer.
Hope this helps!
If you would like a similar problem for practice, take a look here: https://brainly.com/question/11735196
Three Step Linear Equations
Solve for x
8x+5=-6x+3
Answer:
x = -1/7 or -0.14285 - in decimal form
Step-by-step explanation:
8x + 5 = -6x + 3
8x + 6x = 3 - 5 { change side }
14x = -2 { basic addition and subtraction }
x = -2/14 { changing sides }
x = -1/7 { simplified }
Solve x2 = 121.
if you can help me it would be great
Answer:
The answer is X=11 and X=-11
Step-by-step explanation:
[tex] {x}^{2} = 121 \\ \sqrt{121} = 11 \\ therefore \: value \: of \: x \: is \: 11[/tex]
Twice a number is 500 more than six times the number. What is the number?
» Twice a number is 500 more than six times the number. What is the number?
Answer: [tex] \color{hotpink}{ \bold{- 125}}[/tex]— — — — — — — — — —
Solution:Let the number be x.
Then,
[tex]2x = 6x + 500 \\ 2x - 6x = 500 \\ \: \: \: \: \: \: \: - 4x = 500 \\ \: \: \: \: \: \: \: \: \frac{ \cancel{- 4}x}{ \cancel{- 4}x} = \frac{500}{ - 4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \underline{ \boxed{ \blue{ - 125}}}[/tex]
Hence, the number is -125.
Using algebraic expression, the number is calculated as: -125.
What is an Algebraic Expression?An algebraic expression involves using numbers and variables to make statements.
Let the unknown number be represented as x. Therefore:
Twice the number is 2x
2x is 500 more than 6x is 2x = 6x + 500
Solve the algebraic equation to find the number (x):
2x = 6x + 500
2x - 6x = 500
-4x = 500
x = -500/4
x = -125
Thus, using algebraic expression, the number is calculated as: -125.
Learn more about algebraic expression on:
https://brainly.com/question/2164351
The volume of a cube is 8 cubic inches. What is the length of each side of the cube?
Answer:
if a cube has a volume of 8 it has a side length of 2 so the answer is 2
Jackie needs at least 350 for a plane ticket. She saves 25 each week. Which number line shows how long she will need to save money
Answer:
C. x ≥ 14Step-by-step explanation:
Set inequality and solve:
25x ≥ 350x ≥ 350/25x ≥ 14Correct choice is C
[tex]25x ≥ 350[/tex]
[tex]x ≥ \frac{350}{25}[/tex]
[tex]x ≥ 14[/tex]
Answer is C option
What is the measure of X?
108°
108°
2x
2x
72°
144
36
360°
Answer:
36°
Step-by-step explanation:
108°+ 108°+ 2x+ 2x =360°
4x +216° = 360°
4x= 360°- 216°
Just X= 144°/4
=36°
2x= 2(36)
= 72°
help me pleaseeeeeeeeeeee
Solve the system of equations using subtraction.
2x - 3y = -5
2x + y = 7
The solution is . (Type an ordered pair.)
Answer:
x = 2 and y = 3
Step-by-step explanation:
given:
2x - 3y = -52x + y = 7using elimination rule:
2x - 3y = -5
- 2x - y = - 7
................................
-4y = -12
y = 3
Find x:
2x - 3y = -5
2x - 3(3) = -5
2x - 9 = -5
2x = - 5+9
2x = 4
x = 2
Answer:
[tex]y=3\\x=2\\[/tex]
Step-by-step explanation:
[tex](2x-3y)-(2x+7)\\=-4y=(-5)-(7)\\-4y=-12\\y=12/4\\y=3[/tex]
Insert y=3 into any one equation in the system of equations:
[tex]2x-3(3)=-5\\2x-9=-5\\2x=4\\x=4/2\\x=2[/tex]
or
[tex]2x+(3)=7\\2x=4\\x=4/2\\x=2[/tex]
please someone help me this is math and you will get points
Step-by-step explanation:
i) C = πd
C = π × 20yd
C = 20π yards
ii) A = πr²
A = 3.14 × 3²
A =28.26 m²
note that the radius here is 6/2 = 3m.
A row of 12 desks measures 27 feet. How many feet long is each desk? *
Step-by-step explanation:
To identify how long each desk is, divide 27 feet by the 12 desks. (Given values)
[tex]\frac{27}{12} = 2\frac{1}{4}[/tex] [tex]or[/tex] [tex]2.25[/tex]
Each desk is 2.25 ft long.
Check:
[tex]2.25 \times 12 = 27[/tex]
Correct.
ight i knew this but forgot a lil so can u tell me the answer and explan it to me?
Answer:
30
Step-by-step explanation:
All straight line equations are in the form:
[tex]y=mx+c[/tex]
Where m is the gradient and c is the y-intercept
In this equation +30 is the y-intercept
Answer:
The y-intercept is 30 in this equation
Step-by-step explanation:
This equation is in slope-intercept form.
Slope intercept form includes two things, (you can probably already guess)
It includes the slope of the line and the y-intercept
In all slope-intercept form equations the 20x would be the slope and the 30 would be the y-intercept
So that should be enough to give you your answer! I hope this helps and please award brainliest if possible!
To buy a car, Rachel
borrowed $3,000 at
946 interest per
year for 3 years
How much money
did she have to pay
back?
Answer: (3000)*(0.09)*(4) = $1,080.00
Step-by-step explanation:
When money is borrowed, interest is charged for the use of that money over a certain period of time. The amount of interest charged depends on the amount of money borrowed, the interest rate and the length of time for which the money is borrowed.
Principal is the amount of money borrowed. The interest rate is given as a percent. Time is the length of time in years for which the money was borrowed.
Interest = Principal * Rate * Time which is also written as I = P*R*T
Principal = $3,000, Interest rate = 0.09 and Time = 4
Raquel had to pay back $3,000 in principal plus $1,080 in interest for a total of $4,080.00
(3000)*(0.09)*(4) = $1,080.00
An observer (O) spots a plane flying at a 55° angle to his horizontal line of sight. If the plane is flying at an altitude of 21,000 feet, what is the distance (x) from the plane (P) to the observer (O)? A right triangle is shown with angle O marked 55 degrees, hypotenuse marked x, and height marked 21,000 feet. 20,793 feet 25,636 feet 28,793 feet 36,585 feet.
Angle of elevation is angle measured from horizontal line to line of sight, The distance from the plane to the observer is 25,636 feet approx
What is angle of elevation?You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal line to the point where you stopped your head is called angle of elevation. See the figure where angle OPD is the angle when observer saw the plane. It is measured from the horizontal line OD.
Refer to the attached figure.
It is given that we have
Length of PD = |PD| = 21,000 feet
Angle ∠OPD = 55°
Assuming length of OP = |OP| = x feet, we get the sin ratio as
[tex]sin(55^\circ) = \dfrac{|PD|}{|OP|} = \dfrac{21000}{x}\\\\x = \dfrac{21000}{\sin(55^\circ)} \approx 25636.27 \approx 25636 \: \rm feet[/tex]
(tan 55° was calculated from online calculator)
Thus,
The distance from the plane to the observer is 25,636 feet approx.
Learn more about trigonometric ratios here:
https://brainly.com/question/22599614
Answer:
B. 25,636 ft.
Step-by-step explanation:
Cause I'm Asian, I make the rules here...
WILL GIVE BRAINLIEST
What is the value of the coefficient of the 5th term in the expansion of (a + b) ^6
a. 20
b. 6
c. 10
d. 15
Answer:
D. 15
Step-by-step explanation:
I assume you know what pascal's triangle is if this is the work you must complete. If not, I have attached it below.
Now, raising (a+b) to the 6th term would expand to this, based on Pascal's triangle
[tex]\left(a+b\right)^6 = \quad a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6[/tex]
Remember that terms are separated by addition or subtraction symbols.
The 5th term of this 7 term expansion would be 15a^2b^4. The coeffecient is 15 in this case.
~~~~~~~~~~~~~~~~~~~~~~~~
Let me know if you have any questions! Spread the Love.
Trina is looking at a scale drawing with a scale of 4 inches = 200 miles. how can she simplify the scale to evaluate 1 inch on the drawing?
Best answer will get Five stars and a crown
Answer:
[tex]x ∈ R,a=1[/tex]
Step-by-step explanation:
i believe this is the answer but i am not 100% sure
Answer: It does not
Step-by-step explanation:
Solve the simultaneous equations
4x + 2y = -1
5x – 3y = 7
Answer:
4x-2y=-1 multiply by 3
5x-3y=7 multiply by 3
12x+6y=-3
10x-6y=14 add them
so =22x=11
x=1/2
5(1/2)-3y=7
2.5-3y=7 take 2.5 to the other side
-3y=4.5
y=-3/2
therefore x=1/2 and y=-3/2
Step-by-step explanation:
Will give brainliest! ASAP
What is the value of the prism?
Pls help I need ASAP
Explanation:
There are 6 blocks across the width, 3 blocks along the height, and 2 blocks along the depth.
The volume is 6*3*2 = 18*2 = 36 cubic inches. In other words, there are 36 small blocks that make up this bigger 3D solid.
During the month of February, Lerato sends one SMS per day to relatives. Calculate how much this activity costs her in rands
Considering a linear function, it is found that this activity costs 240 rands.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, we suppose that:
There is a fixed cost of 100 rands, hence b = 100.Each SMS costs 5 rands, hence m = 5.Hence, the cost of sending x messages is given by:
y = 5x + 100.
February has 28 days, hence:
y = 5(28) + 100 = 240
This activity costs 240 rands.
More can be learned about linear functions at https://brainly.com/question/24808124
what is the value of x in the triangle
[tex] \huge \boxed{ \tt x = 83 {}^{\circ} }[/tex]
x + 47 + 50 = 180 (sum of angles of triangle = 180°)
x + 97 = 180°
x = 180° -97
x = 83 °
They buy 400g with costs 2.56 how much would 350g cost
Answer:
2.24
Step-by-step explanation:
First I calculated the price for one g with the equation 2.56/400g.
I got .0064 per gram.
You can then multiply this by the 350g to get 2.24
Hope this helps
8÷22+1
this was too hard
12
math
pls help geniuses!!
——————————-
Answer:
The answer is C .
Step-by-step explanation:
2. There are 15 empty seats and 25 occupied seats on a school bus. What is the ratio of the number of empty
seats to the number of occupied seats?
Answer:
15/40 seats
Step-by-step explanation:
tamang sagot po yan
#carry on learning
Could I get some help, please?
Answer:
19+j=59
Step-by-step explanation:
Sum means adding and "and" in math means +
Crystal is training for a marathon. She wants to run 24 miles each week. She has run 16.5 miles this week. Solve an equation to determine how many more miles M she needs to run this week. What does M =?
Answer:
M=7.5
Step-by-step explanation:
hope this helps!
polynomials are named by the highest exponent of the variable as well as the number of terms. For example, x^5-3x^2-1 is a quintic trinomial. Quintic is the exponent of 5, which is the highest while trinomial implies three terms. Using the above example, name the following polynomial expressions: 4x^2+x-3
3/5v^3(3v^2-9)
36m^6 - 9n^2
Answer:
Step-by-step explanation:
[tex]4x^{2} + x - 3 \ Quadratic \ polynomial \ [ highest \ exponent \ is \ 2 ][/tex]
[tex]\dfrac{3}{5}v^{3}(3v^{2} -9)=\dfrac{3}{5}v^{3}*3v^{2}-\dfrac{3}{5}v^{3}*9=\dfrac{9}{5}v^{5}-\dfrac{27}{5}v^{3}[/tex]
Highest exponent is 5 and number of terms is 2. So, quintic binomial
[tex]36m^{6}-9n^{2}[/tex]
Highest exponent is 6 and two terms. So, hexic binomial
1/2+1/3 how much is this and can u help with the simplify
Answer:
5/6
Step-by-step explanation:
Find a common denominator for 1/2 and 1/3.
6
Then find the amount it equals to when 6 is the denominator
1/2 = 3/6
1/3 = 2/6
Now add them
2/6 + 3/6 = 5/6
Answer:
Combine the fractions by finding a common denominator.
Exact Form:
5/6
Decimal Form:
0.8¯3 (bar notation)
Step-by-step explanation:
Hope this helps =)
This is the graph of the function f(x) = k(3). The value k is a constant. Based on the graph, what is the value of k
By using the graph, we will see that k = 1.85
How to find the value of K?
Here we have the exponential function:
f(x) = k*(3)^x
And we want to find the value of k.
To find it, we need to use one point on the graph. the only one easy to read is the one for x = 3, we can see that when x = 3, f(x) = 50.
Then we have:
f(3) = 50 = k*(3)^3 = k*(3*3*3) = 27*k
Solving that for k we get:
50 = 27*k
50/27 = k = 1.85
If you want to learn more about exponential functions, you can read:
https://brainly.com/question/11464095
Please solve these 2 ;-;
y = 2x – 6
y = –4x + 3
Answer:
x = 3/2 | y = -3
Step-by-step explanation:
Given equations:
y = 2x - 6. . . .(i)y = -4x + 3. . . . (ii)Substituting from equation (i) for y:
==> 2x - 6 = -4x + 3
==> 2x + 4x = 6 + 3
==> 6x = 9
dividing both sides by 3:
==> 2x = 3
==> x = 3/2
Substituting 3/2 for x in equation (i):
==> y = 2(3/2) - 6
==> y = 3 - 6
==> y = -3
[tex] - 4x + 3 = 2x - 6 \\ 6x = - 9 \\ 2x = - 3 \\ x = - 1.5[/tex]