Step-by-step explanation:
y=(3/2)x +8
that is the answer
The equation of the line is y = (3/2)x + 8 if the line that passes through ( - 8, - 4 ) and ( -6, - 1 ).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The line that passes through (-8, - 4 ) and ( -6, - 1)
The standard form of the line in slope-intercept form:
y = mx + c
Here m is the slope of the line
c is the y-intercept.
As we know, the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{-1-(-4)}{-6-(-8)}[/tex]
m = 3/2
y = (3/2)x + c
Plug x = -8, y = -4
-4 = (3/2)(-8) + c
c = 8
y = (3/2)x + 8
Thus, the equation of the line is y = (3/2)x + 8 if the line that passes through ( - 8, - 4 ) and ( -6, - 1 ).
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Marta made a fruit salad with 30 strawberries and 50 grapes. Assuming each strawberry contains 6 calories and each grape contains 3 calories, and that each of her 5 family members had an equal share of the fruit salad, how many calories did each person consume from the fruit?
66 calories
78 calories
144 calories
330 calories
Answer:
maybe it's d.
Step-by-step explanation:
because 30*6=180 and 50*3=150
so total of 330 as I observed
: $800 invested at a 9% interest rate for 8 years.
Answer:
576$
Step-by-step explanation:
$800×9/100×8=576$
Using the graph of y = f(x) to the right, and given that the zero of the function is x=20, find the following.
Answer:
3.5
Step-by-step explanation:
Michael can clean the store in 6 hours. Together him and Lebron can clean the same store in 2 hours. How long would it take for Lebron to clean the store alone?
Answer:
4 hours.
Step-by-step explanation:
The difference between 6 and 2 is 4.
8×5 implies that 40 is a multiple of......................... And........................
Find the S.S. of the equation (x+5)2 =(x+5) in R
Answer2x +10=x+5
⇒x=5
Step-by-step explanation:
2x-x=10-5
⇒x=5
A sales person at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold
3. The car dealership sets a goal for each salesperson to sell at least 12 cars per month. The salesperson
achieves this goal every month for the entire year. What is the minimum amount of money the
salesperson earns for the entire year? Show your work.
I
Answer:
8 vehicles
Step-by-step explanation:
Given: Monthly salary of salesperson is $2400
Incentive of salesperson is $250 per vehicle sold.
First, lets compute income to earned apart from salary.
∴ Deduct salary from the target amount
$2000 need to be earned only through incentive, which is $250 per vehicle sold.
Now, solving to get number vehicles to be sold to earn $2000 as incentive.
Number of vehicle=
8 vehicles need to be sold by salesperson to get total earning as $4400.
Culver has 1 quarter, 3 dimes and 1 penny. How much money does he have
Answer:
56 cents
Step-by-step explanation:
1 quarter = 25 cents
3 dimes = 30 cents
1 penny = 1 cent -_-
25 + 30 + 1 = 56
what is proportion mean
Answer:
a part, share, or number considered in comparative relation to a whole.
Step-by-step explanation:
hope it helps
mark me brainliest pls
A die is rolled twice. What is the probability of showing a 4 on both rolls?
Answer:
1/36
Step-by-step explanation:
So what you have to do is take all the numbers on the dice. Getting a 4 would be a 1 in 6 (1/6) chance, but then you take the risk of rolling again and trying to get another 4. Nothing changes with the amount of sides, so it would just be another 1/6 change to get the 4. Then, you have to multiply the two changes together. SO 1/6 x 1/6 = 1/36. It is a 1/36 chance to role a 4 on both roles.
The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex]. Hence, the probability of showing a [tex]4[/tex] on both the rolls is [tex]\frac{1}{36}[/tex].
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex].
The probability of the first throw [tex]4[/tex] is [tex]\frac{1}{6}[/tex].
And on the second throw is [tex]\frac{1}{6}[/tex].
For both, the throws probability [tex]4[/tex] would be
[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{36}[/tex]
Hence, the probability of showing a [tex]4[/tex] on both the rolls is [tex]\frac{1}{36}[/tex].
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Thembi leaves school at 07:10 to get to school at 07:45. How long does it take her to school and home each week?
[tex]f(a) = {a}^{ \frac{1}{2} } + 3a + {a}^{2} [/tex]
[tex]f(x) = \frac{9}{17} {x}^{83} + \sqrt{54 {x}^{97} } + \pi[/tex]
[tex]g(x) = (x - \frac{2}{3} )(x + \frac{3}{4} )[/tex]
which one of the following is a polynomial and which is not, and why?
Step-by-step explanation:
g(x) is a polynomial. It doesn't contain a rational degree with the variable as the denominator, negative eexponents, or irrational coeffecienfs, and no rational exponents as a degree.
f(x) and f(a) isn't a polynomial. It contain a irrational coeffceint like pi. So it not a polynomial. And they both have a rational exponet as a degree
What option best describes the relation shown in the mapping diagram below?
1. A new drill is used to dig a hole in the ground. At noon, the hole is 13.2 feet deep when the new drill is turned on for the first time that day. At 2 p.m., the drill has dug the hole to be feet deep. The new drill dug 1.5 times as much of the hole as the old drill would have in the same length of time.
(a) What expression represents the number of feet the new drill dug?
(b) How many feet would the old drill have dug in the same length of time? Show your work. Answer the question in a complete sentence.
Using the subtraction and division operation, the depth dug by the new drill, and the depth that would have been dug by the old drill are 29.05 feets and 19.37 feets respectively.
The expression for the number of feets dug by the new drill can be calculated thus :
Final depth - Initial depthDepth dug = 42.25 feets - 13.2 feets
Depth dug = 29.05 feets
The new drill dug 1.5 times the depth that woukd have been dug by the old drill :
Depth dug by old drill = 29.05 / 1.5
Depth dug by old drill = 19.37 feets
Therefore, the depth dug by old drill will be 19.37 feets
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59+2=?
help i need somebody help not just anybody
Answer:
59+2=61
Step-by-step explanation:
Explicit Formula for 10,12,14,16,18
1. find the measure of each angle
Step-by-step explanation:
adding both equations together makes the straight line that is QRS. straight lines are 180
you should picture a windshield wiper going side to side and you're trying to see how much farther it has to move until it straightens out at the bottom
(3x-5) + (10x-7) = 180
What is the median number of this data set 15,33,51,75,51?
Answer:
51
Step-by-step explanation:
1. The median of a data set is the quantity that's in the middle of the data points. Before looking what number is in the middle, you have to order them from least to greatest.
15, 33, 51, 51, 752. Now, when crossing from left to right then left to right again, you end up with 51 in the middle.
Therefore, the median number is 51.
Please help me!! Thank you
Answer:
get a smarter person to help i just need my points
Step-by-step explanation:
Leah hangs 6 posters in a row, each 14 inches wide, on a bedroom wall. There are 4 inches between each poster. For the posters at each end, there are 3 inches between each poster and the end of the wall. What is an appropriate strategy for Leah to use to find the width of the wall?
Answer:
62 sq in of wall is covered
Step-by-step explanation:
6 x 14 = 84 -22 = 62
this is for the total
4 x 4 = 16
this is for the inches of the inside wall
2 x 3 = 6
this is for the inches of the outside wall
Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall option (C) is correct.
What is a rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Leah must add the widths of all the places and posters to get the breadth of the wall, so the best course of action is:
Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall.
Thus, the appropriate strategy for Leah to use to find the width of the wall is Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall option (C) is correct.
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1.Which of the following is equivalent to 0.00451
Second question. Which of the following is equivalent to 6.32 x 10-*3?
Answer:
1)[tex]4.51[/tex]×[tex]10^-3[/tex]
2) .00632
Step-by-step explanation:
1.Which of the following is equivalent to 0.00451?
= [tex]\frac{451}{100000}[/tex]
=[tex]\frac{4.51}{1000}[/tex]
=[tex]\frac{4.51}{10^3}[/tex]
= [tex]4.51[/tex]×[tex]10^-3[/tex]
Therefore the answer is (a)
===================================================================
Which of the following is equivalent to 6.32 x 10-*3?
In order to find the answer to this question you can just put the notation into standard form which means they will be equivalent to each other.
The exponent is negative so you move to the left:
[tex]6.32=.00632[/tex]
=[tex].00632[/tex]
Therefore 6.32*10^-3 is equivalent too (c) .00632
solve algebraically 2x^2+4x-85 ≤-4x+5
Answer:
x ≤ -9 and x ≤ 5
Step-by-step explanation:
2x² + 4x - 85 ≤ -4x +5
2x² + 8x - 85 ≤ 5
2x² + 8x - 90 ≤ 0
x² + 8x -180 ≤ 0
(x + 18)(x - 10) ≤ 0
(x + 9)(x - 5) ≤ 0
x + 9 ≤ 0
x ≤ -9
x - 5 ≤ 0
x ≤ 5
What is the volume, in cubic cm, of a cube with an edge length of 20cm?
Answer:
Isn't it 8000 cubic cm sorry if it's wrong
Can you help me plz.
Answer:
Step-by-step explanation:
pls gimme brainliest if im correct
Answer:
7.77, 7[tex]\frac{4}{9}[/tex], 7.4, 7[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
convert the fractions to decimals
[tex]\frac{4}{9}[/tex] = .44 so 7.44
[tex]\frac{3}{4}[/tex] = .25 so 7.25
7.77, 7.44, 7.40, 7.25
they look to already be in order.
have a lovely day <3
I mark brainliest!! fill the table using the function rule, y=-10x+3
solve pls brainliest
Answer:
1(5/8)
step-by-step:
divide the numerator (top number) by the denominator (bottom number)
write whole number off to the left and put the remainder over the denominator to the right
th LEARNING TASK & Equation FIND THE THE EQUATION OF THE LINE, WRITE STANDARD FORM. THE SLOPE is 5 passing through (-1,4).
Step-by-step explanation:
to find the equation of a line having the slope use this formula:
[tex]y - yp = m(x - xp)[/tex]
in which:
- yp is the y of the point (so 4);
- m is the slope (so 5);
- xp is the x of the point (so -1)
so:
[tex]y - 4 = 5(x - ( - 1))[/tex]
[tex]y - 4 = 5x + 5[/tex]
[tex]y=5x + 5 + 4[/tex]
[tex]y = 5x + 9[/tex]
A submarine sits at -300 meters in relation to sea level. Then it descends 115 meters. What is its new position in
relation to sea level?
O
-415 m
O
-185 m
O
-115 m
O
-100 m
I have 40 pieces of facemasks and 32 bottles of alcohol which will be distributed equally to a group of front liners, if each of them will have the greatest number of bottles of alcohol and facemasks, how many front liners will receive each item? Solution: ___________________________________________________________________ _____________________________________________________________________________
Answer:
8 front linersStep-by-step explanation:
Factorize the numbers:
40 = 2*2*2*532 = 2*2*2*2*2LCM of the numbers is:
LCM(40, 32) = 2*2*2 = 8This is a maximum number of front liners.
Each will receive:
40/8 = 5 facemasks and 32/8 = 4 bottles of alcohol An entrepreneur wants to rent
a billboard at least 30 feet tall to display an
advertisement for her business. She is 5 feet 6 inches
tall and casts a shadow 7 feet long. At the same
time, a billboard casts a shadow 35 feet long. Is the
billboard tall enough?