Answer:
[tex]y=-2x+2[/tex]
Step-by-step explanation:
1) Determine Slope
[tex]\frac{y_2-y_1}{x_2-x1}[/tex] = [tex]\frac{-28-(-34)}{10-12}[/tex] = [tex]\frac{6}{-2}[/tex] = -3
2) Use point slope form to create equation
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-28)=-3(x-10)[/tex]
[tex]y+28=-2x+30[/tex]
[tex]y=-2x+2[/tex]
how do you rewrite 4+(-7)
Answer:
-3
Step-by-step explanation:
4+(-7), In math you always have to do parentheses first. But, 4+(-7) equals -3 because -7 is bigger than 4. So it equals -3.
Write a rule for the function:
1 6
2 11
3 16
4 21
Answer:
4 21
Step-by-step explanation:
Its probably the answer you are looking for
An urn contains 19 red marbles, 29 blue marbles, and 43 yellow marbles. one marble is to be chosen from the urn without looking. what is the probability of choosing a red marble?
The probability of choosing a red marble is 1/6.
What is probability ?Probability is the chance of occurring a certain event out of total possible events that can order in a given situation.
According to the given question an urn contains 19 red marbles, 29 blue marbles, and 43 yellow marbles.
So there are total of ( 19 + 29 + 43 ) = 85 marbles.
∴ No. of sample space N(s) = 85.
No. of red marble N(red) = 19.
One marble is to be chosen from the urn without looking the probability of choosing a red marble P(red) is N(red)/N(s) which is
P(red) = 19/85
P(red) = 1/5.
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Solve for x: 1 < x + 3 < 4
4 > x > 7
4 < x < 7
−2 > x > 1
−2 < x < 1
Answer:
-2 < x < 1
Step-by-step explanation:
Given inequality:
[tex]1 < x+3 < 4[/tex]
[tex]\textsf{If $a < u < b$ \;then\; $a < u$ \;and \;$u < b$}:[/tex]
Case 1
[tex]\implies 1 < x+3[/tex]
[tex]\implies 1-3 < x+3-3[/tex]
[tex]\implies -2 < x[/tex]
[tex]\implies x > -2[/tex]
Case 2
[tex]\implies x+3 < 4[/tex]
[tex]\implies x+3-3 < 4-3[/tex]
[tex]\implies x < 1[/tex]
Combine the intervals:
[tex]-2 < x < 1[/tex]
Write two expressions that represent the volume of the cube, one with exponents and one without.
What is an equation of the line that passes through the
points (2, -3) and (2, 6)?
Answer: It is the point where the line crosses the x axis of the cartesian coordinates. We can write an equation of the line that passes through the points y=0 as follows: Using the equation: y = 3x – 6, put y=0. To find the x-intercept. 0 = 3x – 6. 3x = 6. The x-intercept is 2 of the slope-intercept form of line
t = 1,000 + 18h
in the equation above, T represents Brittany's total take home pay, in dollars...
Answer:
c. 55
Step-by-step explanation:
because if you divide the numbers you'll get this
Suppose that f(1) = 1, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. find the value of 4 1 xf ''(x) dx.
Answer: b
Step-by-step explanation:
I think
A hiker first hiked down into a canyon 1,345 feet below sea level. She then hiked 950 feet up the side of a mountain. What was the final altitude of the hiker?
The final altitude of the hiker 395 feet.
How to compute the value?From the information, the hiker first hiked down into a canyon 1,345 feet below sea level and she then hiked 950 feet up the side of a mountain.
This will be:
= -1345 + 950
= 395
Therefore, the final altitude of the hiker 395 feet.
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How many triangles can be made if one angle is 95° and another angle is acute?
A. 1
B.2
C. More than 2
D. None
Answer:
D. None Beacouse triangles are 3-sided not 2-sided.
Step-by-step explanation:
None
HELP EMERGCNY ILL MARK YOU BRAINLIST SHOW YOUR WORK
Answer:
3(c+30)+4(c+30), 7c + 210, 3c+90+4c+120
Step-by-step explanation:
I this helps :D
Answer:
I think it's the first one
Step-by-step explanation:
because he went to class 3 times a week and u would need to multiply 3 by c minutes + 30 minutes ( u have to add them to find the total amount of minutes he exercised during one class and multiply that by 3 after adding them together bc he did that class 3 times which means he did the exercise 3 times so u multiply) then u add that with next week where he went 4 times and did c minutes+ 30 minutes. HOPE THIS HELPS!
A woman has a total of $9,000to invest. She invests part of the money in an account that pays7%per year and the rest in an account that pays9%per year. If the interest earned in the first year is$710, how much did she invest in each account? She invested $___ at 7% and $___ at 9%.
She invested $5,000 at 7% and $4,000 at 9%
How much is invested at each rate of return?
The amount invested at 7% can be assumed to be x, such that the amount invested at 9% would be total investment of $9000 minus x, which has been invested at the initial rate of 7%
total interest at 7%=interest rate*amount invested
interest rate=7%
amount invested=x
total interest at 7%=7%*x=0.07x
total interest at 9%=9%*(9000-x)
total interest at 9%=810-0.09x
total interest on both accounts=0.07x+810-0.09x
total interest on both accounts=810-0.02x
total interest earned=$710
710=810-0.02x
0.02x=810-710
0.02x=100
x=100/0.02
x=amount invested in the account which earns 7%=$5,000
amount invested at 9%=$9000-$5000
amount invested at 9%=$4,000
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In a class, there are thirty-six students going on a field trip. One sixth
are bringing a lunch from home. How many are bringing their lunch
from home?
a candy bar box is in the shape of a triangular prism. the volume of the box is 1,200 cubic centimeters. a triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm. part a: what is the height of the base? show your work.
Height of the base = 10cm
The definition of triangular volume?
The formula Area = Half of Base by Altitude is used to determine the area of a triangle. A = 0.5 X b X a . The formula for determining a triangular prism's volume is V = 0.5 X b X an X h.Given a candy box is in the shape of triangular prism
Volume of the box = 1200 cm³
Base of the triangle = 10cm
Side of the triangle = 13cm
Length of the box = 20 cm
Let the height of the base = h cm
Volume of the triangular prism = 1/2×(Base of triangle)×(Height of triangle)×(length of prism)
1200 = (1/2)×10×h×20
1200 = 100h
h = 1200/100
h = 12 cm
So, height of the triangle = 10cm
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Determine the smallest integer that makes -3x + 7 -5x < 15 true.
Step-by-step explanation:
-3x+7-5x<15
-5x-3x+7<15
-8x+7<15
-8x<15-7
-8x<8
The smallest integer is -3x.
two primary services of operating system
Answer:
Step-by-step explanation:
it provides services to both the user and the programs.
it provides program an environment to execute.
Answer:
manage the computer's resources, such as the central processing unit, memory, disk drives, and printersestablish a user interfaceexecute and provide services for applications software.Step-by-step explanation:Zeke is making posters for the school play. He borrows 12 bottles of paint from the art teacher. Each bottle has 300 milliliters of paint. To make his posters really sparkle, he also brings 400 milliliters of glitter paint from home. How many liters of paint does he have in all?
Answer:
4 liters
Step-by-step explanation:
300 × 12 = 3600 ml
3600 + 400 = 4000 ml
1 liters = 1000 ml
liters to milliliters need to × 1000
milliliters to liters need to ÷ 1000
4000 ÷ 1000 = 4 liters
Given m|n, find the value of x.
3 Kayla works at a bookstore. One of her jobs is to take books that arrive and place
them on bookshelves in the store. She has four shelves for a shipment of 1 4/5 boxes
of a new novel. Will Kayla be able to stock all the books if each shelf can hold 2/5
box of books?
Can you draw the shape and tell me the correct coordinate points?
Answer:
P(-3,6), Q(-6,3), R(0,3)
Find the value of x needed to make the equation below true.
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
[tex]-4\left(1.5x-5\right)+4x=26[/tex]
Subtract 20 from both sides.
[tex]-2x+20-20=26-20[/tex]
-2x=6
[tex]\frac{-2x}{-2}=\frac{6}{-2}[/tex]
[tex]x=-3[/tex]
Find the midpoint of the given line segment with the given endpoints
(5,1) and (4, -4)
Answer:
Step-by-step explanation:
(5 + 4)/2 = 9/2
(1 - 4)/2= -3/2
Who is correct? (−3, 6), (−2, 4), (−3, −1), (−1, −6), (−4, −5), (−2, −7), (−5, −9), (−8, −9), (−12, −3), (2, 4), (3, 2) and (4, 1).
Regarding the quadrants, we have that:
Leila is correct, as most y-coordinates are also negative, meaning that most points are in quadrant 3.
What are the signals of the coordinates in each quadrant?There are four quadrants of points (x,y), and their signals are given as follows:
Quadrant 1: x > 0, y > 0.Quadrant 2: x < 0, y > 0.Quadrant 3: x < 0, y < 0.Quadrant 4: x > 0, y < 0.For this problem, we have that Leila is correct, as most y-coordinates are also negative, meaning that most points are in quadrant 3.
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The picnic shelter must be at least overline 10 feet from any edge of the park. On graph paper with the distance between grid lines representing 10 feet, a city engineer makes a scale drawing of the park, as shown below. The region where the picnic shelter CANNOT be built is shown shaded. The corners of both the park and the region where the picnic shelter may be built are at the intersections of grid lines. The corners of the picnic shelter must also be at the intersections of grid lines. How many different locations in the park are possible for the placement of the picnic shelter?
Answer:
52
Step-by-step explanation:
since the shaded region is an exclusive counting the grid between 13*4 gives 52
We can see here that the number of locations in the park that are possible for the placement of the picnic shelter is C. 52
What is graph paper?Graph paper, also known as grid paper or coordinate paper, is a type of paper that has a grid of equally spaced horizontal and vertical lines drawn on it. The lines form a pattern of squares or rectangles, which facilitates drawing graphs, charts, diagrams, and geometric shapes with precision.
We can see here that multiplying the length and breadth of the picnic shelter using the unshaded boxes, we have:
13 × 4 = 52
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Find the coordinates of the mid point if the end points are (2,-6) (-8,5)
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -8 +2}{2}~~~ ,~~~ \cfrac{ 5 -6}{2} \right) \implies \left(\cfrac{ -6 }{2}~~~ ,~~~ \cfrac{ -1 }{2} \right)\implies \left(-3~~,~~-\cfrac{1}{2} \right)[/tex]
Use your calculator to work out the following and
write all the figures from your display.
a) √17.5
b) 2.3² + √5.6
which value of x is a solution...
Answer:
(4), -5/6
Step-by-step explanation:
[tex]13-36x^2-13=-12-13\\-36x^2=-25\\\frac{-36x^2}{-36}=\frac{-25}{-36}\\x^2=\frac{25}{36}\\x=\sqrt{\frac{25}{36}},\:x=-\sqrt{\frac{25}{36}}[/tex]For x^2 = f(a), x = f(a), -f(a)
[tex]x=\sqrt{\frac{25}{36}},\:x=-\sqrt{\frac{25}{36}}\\\sqrt{\frac{25}{36}}\\\sqrt{25}\\\sqrt{5^2}=5\\=\frac{5}{\sqrt{36}}\\\sqrt{36}\\=\sqrt{6^2}=6\\=\frac{5}{6}[/tex]
Reverse the same equation from the negative side
[tex]=-\frac{\sqrt{25}}{\sqrt{36}}\\\sqrt{25}\\=\sqrt{5^2}\\=5\\=-\frac{5}{\sqrt{36}}\\\sqrt{36}\\=\sqrt{6^2}\\=6\\=-\frac{5}{6}[/tex]
Therefore,
[tex]x=\pm\frac{5}{6}[/tex]
Which of the following options are examples of how you can name the angle?
Answer:
∠T and ∠STP
Step-by-step explanation:
You can name an angle by their middle vertex letter which, in this case, is T.
And you can name an angle using the three letters provided. P, T, and S are the three letters provided. However, the vertex letter always has to be in the middle. So, it could be ∠STP or even ∠PTS.
Let me know if you don't understand or need more explanation.
While on vacation, norma and her family visit mount rushmore in south dakota. they watch a movie in the visitor center for 1 3 of an hour. this accounts for 1 6 of the total time they spend at mount rushmore. which equation can you use to find the total amount of time t norma's family spends at mount rushmore?
Norma's family spends 120 mins at Mount Rushmore
The question is based on the concept of linear equations where 1/3 of an hour spent watching a movie equals 1/6 of the total time spent at Mount Rushmore by Norma and her family.
The time they watched the movie = 1/3 of an hour
Time spent at Mount Rushmore = 1/6 of the whole time
The equations will be as follows:
1/3 of an hour = 1/6 of the whole time
20 mins = 1/6 of the whole time
120 mins = The time they spent at Mount Rushmore
So, Norma's family spends 120 mins at Mount Rushmore
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Caleb's vegetable garden yielded 48 pounds of bell
peppers. He gave of the yield to his neighbor, Jacob.
Caleb Sold to a local restaurant He saved the rest of
the bell peppers. How many pounds of bell peppers did
he give Jacob? How many pounds did he sell? How
many pounds did he save for himself?
Answer:
16 each
Step-by-step explanation:
Since you didn't say how much of the yield Jacob gave to the restaurant or the neighbor, I'm going to assume he kept an even share and gave them each the same share.
Assuming that, we would have to divide his harvest by 3
48/3 = 16
this means that 16 went to his neighbor, 16 to the restaurant and 16 were saved for himself.
Hope this helps! ^^