The slope-intercept form of the line is [tex]y=\dfrac{1}{4}x[/tex].
Given:
A line passes through the two points [tex](4,1)[/tex] and [tex](8,2)[/tex].
To find:
The slope-intercept form of the line.
Explanation:
The slope-intercept form of a line is:
[tex]y=mx+b[/tex]
Where, [tex]m[/tex] is slope and [tex]b[/tex] is the y-intercept.
The line passes through the two points [tex](4,1)[/tex] and [tex](8,2)[/tex]. So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-1=\dfrac{2-1}{8-4}(x-4)[/tex]
[tex]y-1=\dfrac{1}{4}(x-4)[/tex]
Using the distributive property, we get
[tex]y-1=\dfrac{1}{4}(x)+\dfrac{1}{4}(-4)[/tex]
[tex]y=\dfrac{1}{4}x-1+1[/tex]
[tex]y=\dfrac{1}{4}x[/tex]
Therefore, the slope-intercept form of the line is [tex]y=\dfrac{1}{4}x[/tex].
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16 Four biased coins, A, B, C and D are thrown.
The probability that each coin will land on Heads is shown in the table.
Coin
Probability
A
0.33
B
0.033
1
С
3
D
30%
i) which coin is least likely to land on Heads?
ii) Which coin is most likely to land on Heads?
Julie says ,
"The probability that coin C will land on Heads is the same as the probability that coin C will land on Tails."
b) Is she correct?
Give a reason for your answer.
Coin B is going to be thrown 4000 times
c) work out an estimate for the number of times coin B will land on Heads.
and also please give me step by step thanks x
Answer:
Step-by-step explanation:
There are no results for ADD YOUR ANSWERQuestion16 Four biased coins, A, B, C and D are thrown.The probability that each coin will land on Heads is shown in the table.CoinProbabilityA0.33B0.0331С3D30%i) which coin is least likely to land on Heads?ii) Which coin is most likely to land on Heads?Julie says ,"The probability that coin C will land on Heads is the same as the probability that coin C will land on Tails."b) Is she correct?Give a reason for your answer.Coin B is going to be thrown 4000 timesc) work out an estimate for the number of times coin B will land on Heads.and also please give me step by step thanks x
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Solve there Systems of equations. Step - by - Step 2x + y = 15
3x - y = 5
Answer:
2x+y=15, 6x+3y=45
3x-y=5, 6x-2y=10
Y=35, plug it in, x=-10
Step-by-step explanation:
Darnell created a scale drawing of the community garden in his town. The actual garden is 20 feet long. Darnell's scale drawing of
the community garden is 4 inches long
What scale did Darnell use to draw the garden?
O 2 inches equal 5 feet
o 1 inch equals 5 feet
o inch equals 1 foot
O 1 inch equals foot
The scale that Darnell used is required.
The scale that Darnell used is 1 inch equals 5 feet.
Scale diagrams
The length of the actual garden is 20 feet.
The scale drawing is 4 inches long
[tex]20\ \text{feet}=4\ \text{inches}[/tex]
Since, we are finding the inches to feet we divide the expression by [tex]4[/tex]
[tex]\dfrac{20}{4}\ \text{feet}=1\ \text{inch}[/tex]
[tex]1\ \text{inch}=5\ \text{feet}[/tex]
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Which of the following graphs contain the vertex and point below?
vertex (-2, 4), point (2, 84)
a) y = 5(x - 2)2 + 4
c) y = 5(x + 2)2 + 4
b) y = 84(x + 2)2 - 4
d) y = 2(x - 2)2 + 4
i need help its for 7th grade math
Answer:
4:20
Step-by-step explanation:
because there are 20 teachers in all and 4 science teachers so your chances of getting a science teacher are 4 out of 20
A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank the remaining water. How much water, to the nearest ten 3 1milliliters does the student have left in the bottle?
Answer:
25\100*500=125
1/3*125=41.66
41.66 millilites is left in the bottle
Step-by-step explanation:
How to i do this help me with this pls
Answer:
21.98
Step-by-step explanation:
Ted sells cleaning supplies. He earns a monthly salary of $850.00, plus commission. He earns 5% commission on the first $10,000 in sales, and 7% commission on any sales over $10,000. If he sold $14,000 worth of supplies this month, how much will his pay be this month?
Answer:
$1830Step-by-step explanation:
Step one:
Ted's monthly salary =$850.00
since he made sales over $10,000. that is he sold supplies worth $14,000
his commission will be 7% of $14,000
=7/100*$14,000
=0.07*$14,000
=$980
Required
His total earnings
Step two:
Hence his total earnings is, his monthly salary plus 7% commission of supplies worth $14,000
=$850.00+$980.00
=$1830
Those two please I really need help
Answer:
Horizontal flat lines have a slope of 0, and the other one is negative correlation because if you make an imaginary line through that it would have negative slope
solve:4^x-2+2*2^2x-1=1 whole 1/6
Answer:
64
Step-by-step explanation:
)3£56::?£
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Solve the absolute value equation.
4 − |x| = 1 25 POINTS
What is the fraction that is halfway between 1/3 and 3/2
Answer:
11/12
Explanation:
1/3 + 3/2 = 11/6
11/6 x 1/2 (average is halfway) = 11/12
Answer:
-1/12.
Step-by-step explanation:
One way to do this is as follows
Answer = (3/2 + 1/3) / 2
= (9/6 + 2/6) / 2
= 11/6 / 2
= 11/12.
An industrial engineer must estimate the cost of building a storage tank. The tank requires 208 sq ft of material at $9.29 per square foot. It also requires 4.5 hours of labor at $26.40 per hour plus 1.6 hours of labor at $19.60 per hour. Find the total cost of the tank.
Answer:
The total cost of making the tank equals $2,082.48
Step-by-step explanation:
Giving the following information:
The tank requires 208 sq ft of material at $9.29 per square foot.
It also requires 4.5 hours of labor at $26.40 per hour plus 1.6 hours of labor at $19.60 per hour.
To calculate the total cost, we need to multiply the unitary variable cost by the total amounts:
Direct material= 9.29*208= $1,932.32
Direct labor= 4.5*26.4 + 1.6*19.6= $150.16
The total cost of making the tank equals $2,082.48
iris has 120 songs on her playlist each week she downloads 4 new songs. write an expression to show the total number of songs on iris's playlist after W weeks.
Answer:
S(w)=120+4w
Step-by-step explanation:
The function has a base constant of 120 songs. Then for each week, 4 songs are added. On week 1, w=1, and thus it is 120+1(4). On week 2, w=2, and thus it is 120+2(4).
a canon launches a cannon ball vertically with an initial speed 30.m/s find; the maximum height
Answer:
45.9183 as the maximum height ............
Step-by-step explanation:
max height=v²/2g
=900/19.6
=45.9183 ................
Help me ASAP pls with this
Answer:-15,20
Step-by-step explanation:
There are 16 circles and 12 squares. What is the simplest ratio of squares to circle
Answer:
4:3
Step-by-step explanation:
divide each by 4
What is the value of x y and z
I’ll give brainliest
Answer:
x=2
length y = 4
angle Z = 45
Step-by-step explanation:
x^2 = 2x^2 - 4
put like terms on same sides, lets subtract x^2 to both sides
0 = x^2 - 4
add 4 to both sides
4 = x^2
square root of 4 = 2
x=2
since it is a square, we know all sides are the same length (proof also shown) so y is equal to the other side x^2
y = x^2
y = 4
Angle Z is 45 degrees, because a square has all right angles that are 90 degrees, but a diagonal evenly splits angle into two 45 degree parts.
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Use the substitution method to solve the system of equations.
3x + 4y = 10
y = x-1
A. (2,3)
B. (2,1)
C. (3,2)
D. (1,2)
Answer:
B
Step-by-step explanation:
3x + 4(x-1) = 10
3x+4x-4=10
7x-4=10
+4 +4
7x=14
/7 /7
x=2
y=(2)-1
y=1
In a month with 31 days, Google featured Doodles on 18 days.What percent of the month was this?Round to the nearest whole percent
Answer:
58.06%
Step-by-step explanation
TRUST ME
Which ratio is equal to 27:817 OA 1:9 OB. 2:9 Oc. 3:9 OD. 3:27 O E 9:12
Answer:
54 : 1634
Step-by-step explanation:
I needdd helpp :)))))
Mia buys 50 coats at $28 each she sells 38 of these coats at$49 each she sells the rest of the coats at$40 each find the overall percentage profit mia has made on these coats
Answer:
67.28 %
Step-by-step explanation:
Given that:
Price at which the coats are bought = $28
Number of coats bought = 50
Total money spent on buying the coats = 50 [tex]\times[/tex] 28 = $1400
Number of coats sold at $49 each = 38
Money earned by selling 38 coats at $49 each = $1862
Number of coats left = 50 - 38 = 12
Money earned by selling 12 coats at $40 each = $480
Total money earned = $1862 + $480 = $2342
To find:
The overall profit percentage made by Mia ?
Solution:
Formula for Profit percentage:
[tex]Profit\% = \dfrac{Sales\ Price - Cost\ Price}{Cost\ Price}\times 100\\\Rightarrow Profit\% = \dfrac{2342 - 1400}{1400}\times 100\\\Rightarrow Profit\%=\dfrac{942}{1400}\times 100\\\Rightarrow Profit\%=67.28\%[/tex]
Therefore, overall percentage profit made by Mia by selling the coats= 67.28 %
Someone please help and tell me what Y is with which X. I don’t understand this and need a good grade.
Use the line of symmetry to complete the table then graph f(x) = x^2+4x+2.
X -4, -3,-2,-1,0
y-
There are 82 candies. 4 candies more are added. How many are there total?
Answer:
86
Step-by-step explanation:
82+4=86
Answer:
86 candies
Step-by-step explanation:
Just do 82+4= 86 candies
Even if you don’t think it is an independent variable, _____ is usually always plotted on the “x” axis.
Help?
Answer:
Y axis is dependent
Step-by-step explanation:
and x axis is independent, so if its on the x axis, its alwasy a independent variable, hope it helped Lol
Alice likes to go to Main Event to play laser tag and climb the rock wall each Saturday. Instead of purchasing the play pass, Alice pays for each activity separately.
a. This week Alice played laser tag twice and climbed the rock wall 3 times, spending $31.
b. Last week Alice played laser tag 4 times and climbed the rock wall once, spending $27.
Using the information provided, how much does Main Event charge, in dollars, to climb the rock wall?
1. $7
2. $5
3. $8
Answer:
1. $7 for climbing the rock
Step-by-step explanation:
x is the number of laser tags
y is the number of times climbed the rock
a. 2x + 3y = 31
b. 4x + y =27
lets find y
Step 1
4x + y = 27
y = 27 -4x
step 2
replace y with 27 - 4x in the a.
2x + 3( 27 - 4x) = 31
2x + 81 - 12x = 31
2x -12x = 31 -81
x = 5
y = 27 - 4(5)
y = 7
Add.
92 +53
Enter the correct answer in the box.
Answer:
145
Step-by-step explanation:
BASED ON THE GRAPH, WHICH STATEMENT APPEARS TO BE TRUE?
Am I on the right track? Or am I doing something wrong?