write each equation in slope-intercept form.
1. 3x = -8 + y
2. 9 = 3x + 3y
3. 4y – 10 = 20x
Answers
[tex]\text{Slope- intercept form is y =mx+c, where m is the slope and c is the y-intercept.}\\ \\\textbf{1)}\\\\~~~~~3x = -8+y\\\\\implies y = 3x +8\\\\\textbf{2)}\\\\~~~~~9=3x+3y\\\\\implies 3y= 9-3x\\\\\implies y= \dfrac 13(9-3x)\\\\\implies y= 3-x\\\\\implies y= -x+3\\\\\textbf{3)}\\\\~~~~~~4y-10 = 20x\\\\\implies 4y = 20x +10\\\\\implies 2y = 10x +5\\\\\implies y = \dfrac 12(10x +5)\\\\\implies y= 5x +\dfrac 52[/tex]
Related Questions
27.
The mass of a block of ice decreases from 80kg to 64kg.
Calculate the percentage decrease.
Answers
A percentage is a way to describe a part of a whole. The percentage decrease will be 20%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The percentage change is calculated as,
Percentage Change= (Initial Value - Final value)/Initial Value × 100%
Given initially the mass is 80kg, while the final mass is 64 kg, therefore, the percentage change can be calculated as,
Percentage change = (80-64)/80 × 100% = 20%
Hence, the percentage decrease will be 20%.
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Is √50 greater or less then 7.8
Answers
Answer:
Less than.
square root 50 = 7.07
7.8 = 7.8
Answer:
Squareroot 50=7.07 Approx
So [tex]\sqrt50[/tex] is less than 7.8
Step-by-step explanation:
Pls give Brainliest.
suzy says that the equation below has two real solution to do agree with suzy
y= x ^ 2 + 8x - 3
Answers
=8^2 -4*1*(-3)
=52
x1=(-b-sqrt52)/2a
=-4+sqrt19
x2= (-b+sqrt52)/2a
= -4-sqrt19
Giving 20 Brainly points pls solve
Answers
The volume of the cylinder is 254,571.43cm³.
The surface area of the cylinder is 22,628.57 cm².
What is the volume of the cylinder?A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder =πr²h
π = 22/7r = radius = diameter / 2 = 60/2 = 30cm22/7 x (30²) x 90 = 254,571.43cm³
Surface area = 2πrh + 2πr²
(2 x 22/7 x 30 x 90) + (2 x 22/7 x 30²)
16, 971.43 + 5657.14 = 22,628.57 cm²
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alot of points and BRAINLIEST if possible. a. 1-1000 in roman numeral. b. fastest way of multiplication
Answers
Step-by-step explanation:
number 1 to 100 is in the table bove
use I =1 V=5 x=10 l=50 c=100 d=500 m =1000
for fast multiplication
5. Graph the equation x + 2y + 3z = 6.
Answers
Answer:
Step-by-step explanation:
x+2y+3z=6
Plane xy
z=0→x+2y+3(0)=6→x+2y+0=6→x+2y=6
x=0→0+2y=6→2y=6→2y/2=6/2→y=3→Point=(x,y,z)=(0,3,0)
It's not the first graph, because at plane xy when x=0, y=2
In the second and third graph, at plane xy, when x=0, y=3
y=0→x+2(0)=6→x+0=6→x=6→Point=(x,y,z)=(6,0,0)
It's not the third graph, because at plane xy when y=0, x=3
It's the secon graph, because at plane xy when y=0, x=6.
Let's check the other planes:
Plane yz
x=0→0+2y+3z=6→2y+3z=6
z=0→2y+3(0)=6→2y+0=6→2y=6→2y/2=6/2→y=3→Point=(x,y,z)=(0,3,0)
In the second graph, at plane yz, when z=0, y=3
y=0→2(0)+3z=6→0+3z=6→3z=6→3z/3=6/3→z=2→Point=(x,y,z)=(0,0,2)
In the second graph, at plane yz, when y=0, z=2
Plane xz
y=0→x+2(0)+3z=6→x+0+3z=6→x+3z=6
z=0→x+3(0)=6→x+0=6→x=6→Point=(x,y,z)=(6,0,0)
In the second graph, at plane xz, when z=0, y=6
x=0→0+3z=6→3z=6→3z/3=6/3→z=2→Point=(x,y,z)=(0,0,2)
In the second graph, at plane xz, when x=0, z=2
of 30 1/3 students, play sports. Of those who play sports, 2/5 play soccer. How many play soccer?
Answers
12 2/15...
hope it helps...!!!
What is the conditional probability that exactly four heads appear when a fair coin is flipped five times, given that the first flip came up heads?.
Answers
Answer:
Step-by-step explanation:
wow, they really try to make these probablity questions difficult. so they say 5 but really, b/c the 1st one is heads , we are tossing the coin 4 more times, to find 3 heads b/c we already got one. wow, I'm mad at the teacher that asked this. :P Just say 4 flips for 3 heads.
P(H) = heads
P(H) =1/[tex]2^{4}[/tex] probability is 1/[tex]2^{4}[/tex] because we have two outcomes and four tries.
P(H) = 1/16
P(H>=3) 3 * 1/16
P(H>=3) = 3/16
if there is an argument that you have to take 1/[tex]2^{5}[/tex] into account by the teacher tell them that it was already resolved , the first flip is not a "probablity" any longer. It's heads, 100% , it doesn't affect the next tosses b/c this is a "fair" coin and it's going to land on heads 50% of the time, for every toss. Just my rant. :P
PLS HELPP NEED QUICK WILL GIVE BRAINLEST!
SHow ur work pls
Answers
The area of a 2D form is the amount of space within its perimeter. The area of the right triangular prism is 1,200 m².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The area of the triangular prism can be written as,
Total surface Area
= Area of two rectangle face + Area of two triangular face + Area of base
= 2(17×15) + 2(0.5×30×8) + (30×15)
= 2(255 in²) + 2(120 in²) + 450 in²
= 1,200 in²
Hence, the area of the right triangular prism is 1,200 m².
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Four students provide the following approximations for StartRoot 0. 89 EndRoot. Anyah states that StartRoot 0. 89 EndRoot is between 0. 44 and 0. 45 because 0. 44 less-than StartFraction 0. 89 Over 2 EndFraction less-than 0. 45. Matthew states that StartRoot 0. 89 EndRoot is between 0 and 1 because 0 less-than 0. 89 less-than 1. Rhoda states that StartRoot 0. 89 EndRoot is between 0. 9 and 1. 0 because 0. 9 squared less-than 0. 89 less-than 1. 0 squared. Ming states that StartRoot 0. 89 EndRoot is between 0. 93 and 0. 95 because (0. 93) squared less-than 0. 89 less-than (0. 95) squared. Which solution(s) are correct? Anyah's only Ming's only Anyah’s, Matthew’s, and Rhoda’s Matthew’s, Rhoda’s, and Ming’s.
Answers
The solutions to the square root of 0.89 that are correct are Matthew’s, Rhoda’s, and Ming’s.
What is the square root of 0.89?The square root of a number is the number that divides a number into equal halves. The sign used to denote square root is √.
√0.89 = 0.94
0 < 0.89 < 1
0.9² < 0.89 < 1²
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In a bag of marbles there are 7 blue, 3 red, 14 yellow, 1 white, and 10 black.
What is the ratio of blue and yellow marbles to white and black marbles?
a
7 to 11
b
14 to 10
c
21 to 11
d
11 to 21
e
20 to 10
Answers
blue + yellow = 7 blue + 14 yellow = 21 marbles
white + black = 1 white + 10 black = 11 marbles
now, set up the ratio:
blue + yellow : white + black
21 : 11 (also written as 21 to 11)
so the answer would be c
hope this helps!
Answer:
c) 21 to 11
Step-by-step explanation:
Finding the ratio :
⇒ Number of blue + Number of yellow : Number of white + Number of black
⇒ 7 + 14 : 1 + 10
⇒ 21 : 11
⇒ 21 to 11
please solve this for me asap
Answers
[tex] \: \: \: \: \: \: \: \underline {\boxed{ \sf{ \huge{\pink \star }P = a + b + c }}}[/tex]
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
[tex] \longrightarrow\sf{P = a + b + c }[/tex]
[tex]\longrightarrow\sf{P = 5 + 12 + 7}[/tex]
[tex]\longrightarrow\sf{P = 24}[/tex]
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
Therefore , the perimeter of triangle is 24 cm
i will mark brainlist please help what is the vertex of the parabola
Answers
Laura ordered 3 pizzas for her
party. Each pizza had 8 slices.
•1
of the cheese pizza was
left.
•2 of the pepperoni pizza was
eaten.
*2 slices of the sausage pizza
was left.
How many slices of pizza were
eaten at the party?
Answers
We know only 1 slice of cheese pizza was left so that would mean 7 slices were eaten. (8-1=7)
2 pepperoni pizza slices were eaten so 6 are left. (8-2=6)
2 slices of sausage pizza was left so that would mean 6 were eaten. (8-2=6)
7 slices of cheese pizza were eaten, 2 pepperoni slices were eaten, and 6 slices of sausage pizza were eaten. 7+2+6 = 15.
That means 15 slices of pizza were eaten. Hope this helps and please mark brainliest!
Answer:
15 slices of pizza was left!
Step-by-step explanation:
First we multiply
3 x 8
Answer : 24 all slices combine
7 slices were ate on the first pizza
2 slices were ate on the second pizza
6 slices were ate on the third pizza
add them all up and get 15
Hope this helps!
can anyone help me with this slope-length activity? whoever answers will get 5 stars and brainliest, i know its a bit of work so I'd really appreciate it, I've been rlly struggling with this unit. this is 10th grade geometry
Answers
Answer:
Step-by-step explanation:
STATE WHETHER THE WORKING SHOWN IN THE PICTURE BELOW IS TRUE OR FALSE.
Answers
Answer:
True
Step-by-step explanation:
i dont see a error-
23 The value in dollars, y, of a carx years after it was purchased can be modeled by
the function y - 14,000 - 875x. What is the meaning of the y-intercept of the
linear model?
А The initial value of the car is $14,000.
B
The average value of the car is $14,000.
C The car's value decreases by $875 each year after it was purchased.
D The car's value decreases by $16 each year after it was purchased.
Answers
what is the answer to this question
Answers
At what time a person can travel 800 meters at 36 km per hour
Answers
Answer:
.02 hours
or
1.2 minutes
Step-by-step explanation:
800 meters is .8 kilometers (because there are 1000 meters in a kilometer).
Now just do dimensional analysis.
.8 km 1 hour
-------- x -------- = .02 hours
. 1 36 km
To find minutes, multiply .02 by 60.
(.02)(60)=1.2 minutes
Select all the expressions that have a value of 7,193.
A: 38,977-31,884
B: 39,616-32,323
C: 42,014-34,821
D: 50,000-42,807
E: 78,792-71,699
Answers
The correct answers are, C and D
Must complete all parts below
a) Draw the graph of the function f(x)=2^x+3
b) Translate the graph down 4 units and draw the new graph.
c) What is the equation of the new graph?
Answer: **Both functions must be present on your graph. Must have at least two specific points per function!
Answers
a. The graph is attached with the answer.
b. Translated graph is also attached with the answer.
c. The equation of the new graph will be (2x²+3)-4
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the quadratic equation we will get a curved parabola.
a. The graph of the function f(x)=(2x²+3) is attached with the answer. b. The translated graph of the function is also attached with the answer.
If the function is reduced by the constant value 4 then the equation of the function will become:-
F(x)= (2x²+3)-4
Hence the equation of the new graph will be (2x²+3)-4
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A person invests 6000 dollars in a bank. The bank pays 6.5% interest compounded semi-annually. To the , how long must the person leave the money in the bank until it reaches 15100 dollars?
Answers
Answer:
14.43 years
Step-by-step explanation:
FV = PV (1+i)^n
FV = future value = 15100 PV = present value = 6000
i = period interest in decimal = .065/2 = =.0325
n = periods = the question
15100 = 6000(1+.0325)^n
solve for n = 28.86 periods or 14.43 years (each period is 6 mos)
What is the slope and y-intercept of the given equation?
y = 2/3x + 5
Answers
Answer:
The slope is 2/3x and the y-intercept is 5.
Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41. 6π square inches. The radius of the smaller cone is 6. 4 inches. What is the radius of the larger cone? 8 inches 10 inches 11. 52 inches 14. 4 inches.
Answers
Answer:
the answer is 145
Step-by-step explanation:
Solve the following system of inequalities graphically on the set of axes below. State
the coordinates of a point in the solution set.
y < x -2
1
y <--2-5
22
Answers
Answer:
The answer is definitely C
Step-by-step explanation:
Following the system of inequalities will graph this solution best on the graph, it is the inequality represented in the graph.
ur wlcm :)
correct me if im wrong
brainliest please?
A triangular shaped price of paper has an area of 1296 and a base of 6 find the height
Answers
Answer: 432
Step-by-step explanation:
The formula for the area of a triangle:
[tex]A=[/tex] [tex]\frac{H*B}{2}[/tex]
Substitute area and base:
[tex]1296 = \frac{H*6}{2}[/tex]
Multiply by the denominator to eliminate the fraction:
[tex]2*1296 = \frac{H*6}{2} *2\\[/tex]
[tex]2592=H*6[/tex]
Inverse operations to isolate the variable:
[tex]\frac{2592}{6} =H[/tex]
[tex]H = 432[/tex]
Height is 432
Answer answer please
Answers
Answer: 5/10
Step-by-step explanation: You can see theirs 10 spaces all around which adds up to 10 count the grays and you get 5. 5/10.
Answer: correct answer is choice c which 5 over 10 .
Step-by-step explanation: as total parts in the circle is 10 and 5 are shaded so 5 over 10 . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .
How would the mean change if the number 4 were added to the set?
3, 3, 2, 2, 2, 8, 8, 4
Question 4 options:
decrease
increase
no change
Answers
The mean of a given set 3, 3, 2, 2, 2, 8, 8, 4 is 4. if the number 4 were added to the set then it won't change in mean.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
The given set is
3, 3, 2, 2, 2, 8, 8, 4
The mean will be
Mean = Sum of observations/the number of observations
= [tex]\frac{3+ 3+ 2+ 2+ 2+ 8+ 8+ 4}{8} \\\\\frac{32}{8} \\\\4[/tex]
if the number 4 were added to the set.
4 + 32 we get 36 and since you added one more number, we will take a number of terms 9.
So, the mean becomes
= [tex]\frac{36}{9} \\\\4[/tex]
Hence, the mean doesn't change.
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100 pointss pls help!!!! characteristics of a quadratic function worksheet
Answers
Answer:
do u have the full sheet?????
What is the area of the figure?
An irregular shape that is made of two rectangles end to end that are eight inches long each and four inches wide. The total length of the base is sixteen inches. With two right triangles on top of the rectangles so the right angles meet the sides of the rectangles. The total length of each side with the width of the rectangle and the side of the triangle is seven inches.
88 square inches
96 square inches
120 square inches
80 square inches
Answers
The area of the figure is 80 square inches. Check more about area below.
What is the irregular shape about?To find the area:
Lets take area as A.
Therefore,
Note that rectangles A is eight inches long each and four inches wide. base: sixteen inches and width is seven inches.
A= rectangles A - rectangles B
= 16 * 7 - 8 * 4
=112- 32
80
Therefore, the area of the figure is 80.
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