1. Simplify [tex]\frac{1}{3} x[/tex] to [tex]\frac{x}{3}[/tex]
[tex]\frac{x}{3} +2y=8[/tex]
2. Subtract [tex]\frac{x}{3}[/tex] from both sides
[tex]2y=8-\frac{x}{3}[/tex]
3. Divide both sides by 2
[tex]y=\frac{8-\frac{x}{3} }{2}[/tex]
4. Simplify [tex]\frac{8-\frac{x}{3} }{2}[/tex] to [tex]\frac{8}{2}[/tex] - x/3/2
y=8/2-x/3/2
5. Simplify 8/2 to 4
y=4-x/3/2
6. Simplify x/3/2 to x/3x2
y=4-x/3x2
7. Simplify 3x2 to 6
-y=4-x/6
the variable b in slope intercept form represents the slope true or false
Answer:
false
Step-by-step explanation:
the variable x is used in slope intercept
Answer:
False
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Expand the linear factors of f(x), where f(x) = (x - 10)(x + 2).
What is the domain of f(x)=x^2?
The mean of 5 scores is 75, four of the numbers are 60, 70, 80, & 85. What is the 5th score?
Answer:
80
Step-by-step explanation:
Your 4 given numbers equal 295. 5x75 is 375. So take 375-295 and you get 80, your 5th number.
The sum of four consecutive odd numbers is 80 find the number
Answer:
Let the numbers are
x, (x+2), (x-2) and (x+4)
Step-by-step explanation:
x + x +2 +x - 2+x+4 = 80
4x +4 = 80
4x =80-44x = 76
4x = 76
x = 76/4
x = 19x
x=19
(x+2) =19+2=21
(x-2) = 19-2=17
(x+4)=(19+4)=23
hope it helps
mark me brainliest pls
Please help!
A restaurant sells tea for
$1.50 per drink. The cost of drinks, F(d), can be found by using the function F(d) = 1.5d. If the restaurant sells no more
than $150 in drinks in a day, what is a reasonable domain and range
Thank you!
Domain:
Range:
Answers:
Domain is [tex]0 \le d \le 100[/tex]
Range is [tex]0 \le F(d) \le 150[/tex]
==============================================
Explanation:
The most money made from selling drinks is $150. Divide this over the cost per drink to get 150/(1.50) = 100; indicating that at most 100 drinks are sold per day. This is the largest that d can get because d represents the number of drinks sold.
The smallest d can get is d = 0 to mean that no drinks are sold.
In short: d is between 0 and 100, including both endpoints. We write [tex]0 \le d \le 100[/tex] to indicate this. This is the domain because the domain represents all the possible inputs allowed.
---------------------------------------------------
The range is the set of allowed outputs.
If we plugged in d = 0, then you would find F(d) = 0 as well. If you don't sell any drinks, then you earn $0. This is the smallest item in the range.
On the other side of things, the largest item in the range is 150 because this value was given to us. It's the upper limit or ceiling value of how much money is made from drinks. You can also find this by plugging d = 100, the largest domain value, into the function to get F(d) = 150.
Therefore the range is [tex]0 \le F(d) \le 150[/tex] to indicate that F(d) is between 0 and 150 inclusive of both endpoints.
Look at this set of ordered pairs:
(13, 19)
(4, 18)
(3, 20)
(11, 2)
Is this relation a function?
hi Can anyone help with this?
Heeeeelppp please help
Answer:
.98 L / b * .4 b = .392 L amount contained in sample
.99 L / b * .25 b = .248 L this was rounded from .2475
1.00 L / b * .3 b = .30 L
1.01 L / b * .05 b = .05 L
---------------------------------------
3.98 L / 4 b * 1.0 b = .99 L
Actual measurements might be 40 bottles at .98 L/b, 25 bottles at .99 etc
Then the total liters would be divided by the total number of bottles
Given f(x)=3x^2-5x+k and the remainder when f(x) is divided by x-4 is 38, then what is the value of k? brainliest for correct answer( and fastest, obviously).
Answer:
the answer is 30
when you substitute x = 4
solve for K
Step-by-step explanation:
the answer is 30
please brainlist
Find the missing amount)
Original:_______
New: $172
%Decrease: 14%
(not multiple choice)
Answer:
Original = $200
Step-by-step explanation:
Original = x
Final = 172
Percent Decrease = 14%
Original = 100%
Final = 100% - 14%
172 = 86%
Solve:
172/86 * 100 = x
2 * 100 = 200
Original = 200
-Chetan K
$ 200 ( approximately )
Step-by-step explanation:
100% - 14% = 86%
100/86 × 172
Help me help me help me
Answer:
the √78 would be 8.832 so D
79 = 4x + 27
What does x equal
Answer:
X=13
Step-by-step explanation:
79=4x+27
-27 -27
52=4x
x=13
1. When an integer n is added to –5, the result is still –5. What is n?
2. What is the additive inverse of the integer –7?
Answer:
n=0
Step-by-step explanation:
n+-5= -5
n-5= -5
n= -5 +5
n=0
The perimeter, p, of an equilateral triangle varies directly as the length of a side, s, if
the perimeter is 153 cm when the side length is 51 cm, what would be the perimeter if
the side length is 81 cm.
Variation can be direct, inverse or joint.
The perimeter is 243 cm
Represent perimeter with P and side lengths with L.
So, we have:
[tex]\mathbf{P\ \alpha\ L}[/tex]
Express as an equation
[tex]\mathbf{P = kL}[/tex]
Where k is the constant of variation.
Make k the subject
[tex]\mathbf{k = \frac PL}[/tex]
So, we have:
[tex]\mathbf{\frac{P_1}{L_1} = \frac{P_2}{L_2}}[/tex]
Make P2 the subject
[tex]\mathbf{P_2 = L_2 \times \frac{P_1}{L_1} }[/tex]
Substitute the given parameters
[tex]\mathbf{P_2 = 81 \times \frac{153}{51} }[/tex]
[tex]\mathbf{P_2 = 81 \times 3 }[/tex]
[tex]\mathbf{P_2 = 243}[/tex]
Hence, the perimeter is 243 cm
Read more about variations at:
https://brainly.com/question/16510700
describe how the pattern is changing
as you can see in the pattern he adds 1 in each time to the height and 2 to the width
Write the slope intercept form of the equation of the line through the given point with the given slope
(0,3) Slope=1/4
Identify the functional relationship between the variables. * 1 point
A. Energy use is a function of time.
B. Time is a function of energy use.
need answers to the ones that i haven’t written anything for
Answer:
domain - (-infinity,infinity)
range - (-infinity, 2]
axis of sym - x=-1
y int - (0,-1)
at what value (row 1) - (-1,2)
Step-by-step explanation:
domain is side to side, it never ends bc of the arrows
range is top to bottom, there is no bottom bc of the arrow, but it has a top at 2 (the value on the y axis)
the axis of sym is basically the line that runs through the vertex, it's where you could fold it in half and it would still match up
Is the triangle SSS, SAS, ASA, AAS, SSA? Photo attached.
Answer:
SAS
Step-by-step explanation:
find the measure of each angle
m angle QRT
and
m angle TRS
how do i change the fraction into a decimal?
3/4 as a decimal?
Answer:
0.75
Step-by-step explanation:
1. To change 3/4 into a decimal, you have to divide 3 by 4.
2. (Check out the image below to see how to divide 3 by 4.)
Answer:
3/4 is expressed as 0.75 in the decimal form.
Step-by-step explanation:
Fractions and decimals are two ways to represent the same numbers. A decimal number can be defined as a number whose whole number part and fractional part is separated by a decimal point. A fraction is represented as a numerical value that is defined as a part of a whole.
To convert any fraction to decimal form, we just need to divide the numerator by the denominator.
Here the fraction is 3/4 which means we need to divide: 3 ÷ 4.
* Use the attatched images for steps*
Therefore, 3/4 = 0.75.
Thus, 3/4 is expressed as 0.75 in the decimal form.
Answer with solutions.
Find the corresponding roots in the box for the given quadratic
equations and get the letters to decode the hidden message . You
may use the extracting the square root method
P:±6
M: ±7
C:5,6
A : 0
J:4,-1
Q:±√5
L:±11
H:±4
D:-4,1 I:±3
S:16,-6
Y: ±8
B:±4√2
E:±2
A:0,-4
U:6,0
U:±√10
N:6,-16
G:1,-1
T:±2√2
O:±6√2
V:±√3
I:±5
J:-7,-1
K:5,-2
W:±12
F:±2√3
X:±6
R:0,-6
•:9±√6
/4
Message : __________________________________
________________________________________
1. x2 = 49
2. x2 -27 =0
3. 3x2-36= 0
4. 9x2 = 0
5. 5x2- 15=0
6. 2x2- 144=0
7. ( x + 3)2 = 9
8. 4x2 -100 =0
9. 5x2 = 40
10. 3x2 -12 = 0
11. (x-5)2
The corresponding roots of the quadratic equations are given.
What are Quadratic Equations?Quadratic expressions are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
1. x² = 49
Find the square root.
x = ±√49 = ±7
2. x² - 27 = 0
x² = 27 = 9 × 3
x = √27 = √(9×3) = √9 × √3 = ±3√3
3. 3x² - 36 = 0
3x² = 36
Divide 3 on both sides.
x² = 12
x = √12 = √(4 × 3) = ±2√3
4. 9x² = 0
x = 0
5. 5x² - 15 = 0
5x² = 15
x² = 3
x = ±√3
6. 2x² - 144 = 0
2x² = 144
x² = 72
x = √72 = √(36 × 2) = ±6√2
7. (x + 3)² = 9
x + 3 = √9
x + 3 = ±3
x = 3 - 3 = 0 and x = -3 - 3 = -6
8. 4x² - 100 = 0
4x² = 100
x² = 25
x = ±√5
9. 5x² = 40
x² = 8
x = √8 = √(4 × 2) = ±2√2
10. 3x² - 12 = 0
3x² = 12
x² = 4
x = ±2
11. (x - 5)² = 121
x - 5 = √121
x - 5 = ±11
x = 11 + 5 = 16 or x = -11 + 5 = -6
Hence the solutions are found.
Learn more about Quadratic Equations here :
https://brainly.com/question/30098550
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Use the long division method to find the result when 12x^3+23x^2+30x+25 is divided by 4x+5.
Answer:
The answer is 3x^2+2x+5
Step-by-step explanation:
I just simply factored and followed the long division method.
-8/11=12/v (solve for v)
Answer:
-8/11=12/v
-8v / 11 = 12
-96v / 11 = 12
-96v = 132
v = 132 / -96
v = 1.375 OR
v = 1 3/8
Step-by-step explanation:
8/y = 2/y-2 +1 Answer fast please.
Answer:
Given equation is (8/y) = 2/(y-2) +1
=> (8/y)- 2/(y-2) = 1
=> [8(y-2)-2y]/(y-2)y = 1
=> (8y-16-2y)/(y²-2y) = 1
=> (6y-16)/(y²-2y) = 1
=> y²-2y = 6y-16
=> y²-2y -6y+16 = 0
=> y²-8y+16 = 0
The standard form is y²-8y+16 = 0.
Answer:
-6
Step-by-step explanation:
8/y = 2/y - 2 + 1
8/y = 2/y - 1
8 = 2 - y
6 = -y
y = -6
what is the least whole number that is the solution of 4r-4.9>14.95
fast 30 points please
Does each equation represent a proportional relationship? Choose Yes or No.
y = 7x - 3
y = 150x
help me pls!!! don't bother trying to put a scam link
Answer:
1/7 km long
Step-by-step explanation:
The area of a square is any given one of the sides, squared. We can take this information and apply it to this problem. If the area is 1/49 km squared, we can take the square root of this to find the length of each side.
The square root of 1 is 1, and the square root of 49 is 7, so the answer is 1/7 km for each side.
If you have any further questions, let me know!
Answer:
[tex]\frac{1}{7}[/tex]
Step-by-step explanation:
Kishore bought a basket containing 30 orangs for rs 310. If he sells the orangs at rs 12 each , what Would be it's profit or loss?
Given : Kishore bought a basket containing 30 oranges for rs 310. If he sells the oranges at rs 12 each , what Would be it's profit or loss?
Solution :
Cost price of oranges = rs.310
As we know that each oranges cost rs.12
So, selling price of oranges is 30 × 12 = rs.360
Now, finding profit or loss
Profit = Selling Price - Cost Price
Profit = rs.360 - rs.310
Profit = rs.50
So, the profit is ₹50