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First compute the component form of vector u by subtracting its initial values from terminal values. 18-1=17, 6-(-12)=18. So u=(17, 18). Since v points in the opposite direction, and has a magnitude three times that of u, we multuply the u by -3 and get v=(-3*17, -3*18)=(-51, -54).
Which graph shows a rate of change of one-half between –4 and 0 on the x-axis? On a coordinate plane, a straight line with a positive slope crosses the x-axis at (6, 0) and the y-axis at (0, 3). Solid circles appear on the line at (negative 4, negative 1), (0, 3). On a coordinate plane, a parabola opens up. It goes through (negative 5.25, 4), has a vertex of (0, negative 3), and goes through (5.25, 4). Solid circles appear on the parabola at (negative 4, 1), (0, negative 3). On a coordinate plane, a parabola opens down. It goes through (negative 5.5, negative 4), has a vertex of (0, 4), and goes through (5.5, negative 4). Solid circles appear on the parabola at (negative 4, 0), (0, 4). On a coordinate plane, a curved line opens up and left in quadrant 2. It is asymptotic to the negative x-axis and positive y-axis. Solid circles appear on the line at (negative 4, 0.25), (0, 4).
Answer:
First option
Step-by-step explanation:
There is a mistake in the description of the first function.
On a coordinate plane, a straight line with a positive slope crosses the x-axis at (-6, 0) and the y-axis at (0, 3). Solid circles appear on the line at (-4, 1), (0, 3).
Given two points of a function, (x1, y1) and (x2, y2), its rate of change between them is:
Rate of change: (y2 - y1)/(x2 - x1)
Points of the 1st graph: (-4, 1), (0, 3).
Rate of change: (3- 1)/(0 - (-4)) = 1/2
Points of the 2nd graph: (-4, 1), (0, -3).
Rate of change: (-3 - 1)/(0 - (-4)) = -1
Points of the 3rd graph: (-4, 0), (0, 4).
Rate of change: (4 - 0)/(0 - (-4)) = 1
Points of the 4th graph: (-4, 0.25), (0, 4).
Rate of change: (4 - 0.25)/(0 - (-4)) = 0.9375
Answer:
a
Step-by-step explanation:
answer on edge
Solve 4(x−9)=4(9+13x).
The solution is x=
Answer:
-1.5
Step-by-step explanation:
4x - 36 = 36 + 52x
We can make this into another equation.
72 + 52x = 4x
4x - 52x = -48x
-48x = 72
48x = -72
x = -72/48 = -1.5
Pls do mark me as brainliest.Thanks! ;)
Answer:
x = - [tex]\frac{3}{2}[/tex] = - 1.5
Step-by-step explanation:
Given
4(x - 9) = 4(9 + 13x) ← distribute parenthesis on both sides
4x - 36 = 36 + 52x ( subtract 52x from both sides )
- 4x - 36 = 36 ( add 36 to both sides )
- 4x = 72 ( divide both sides by - 4 )
x = [tex]\frac{72}{-4}[/tex] = - [tex]\frac{3}{2}[/tex] = - 1.5
Let the equation C = 2.32 N + 34,180 represent the cost of raising a child, C, on an income, N.
If the Murphy family has an annual income of $60,000, what is the expected cost of raising a child?
$172,460
$173,380
$175,620
$176,980
Answer:
173,380
Step-by-step explanation:
just took the test and got it right
The expected cost of raising a child is $173,380.
Given,
C = 2.32 N + 34,180.
C represents the cost of raising a child.
N represents the income.
If the Murphy family has an annual income of $60,000.
We are to find the expected cost of raising a child using the given equation.
We have,
C = 2.32 N + 34,180________(A)
Now,
If the Murphy family has an annual income of $60,000.
N = $60,000___________(B)
Putting (B) in (A).
C = 2.32 x $60,000 + 34,180
C = 139,200 + 34,180
C = $173,380.
Thus the expected cost of raising a child is $173,380.
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0=x^2-4x+3 how many roots does this equation have
Answer:
No complex roots; 3 real roots
Step-by-step explanation:
If a third order polynomial has any complex roots, then as a rule it has 1 real root and 2 complex roots. In this particular case, the polynomial has three real roots, as can be determined by graphing the function. The graph crosses the x-axis in 3 places.
I need help with this problem. It's urgent
Answer:
32 servings
Step-by-step explanation:
There are eight eighths in a cup. Multiply 8 by 4 and you get 32.
Answer:
32
its 1/8 x 8 then 1 cus that makes it a whole so it would be 32 becuase 8 x 4 is 32
Which of the following shows a way to factor the expression −6x + 18? Select all that apply.
Answer:
-6(x-3)
Step-by-step explanation:
Answer:
x=24
Step-by-step explanation:
1. try to put x by itself
2. move the -6 but turn it into a positive
3.add the 18 and 6 an that becomes your answer an equals to x
Please give me the answer quick
Answer:
MON= 57
Step-by-step explanation:
5x-23+3x-15=90
8x-38=90
8x=128
x=16
PLUG 16 INTO MON EQUATION
5(16)-23=57
therefore,
MON=57
USE COMPLEMENTARY FOR PROBLEMS LIKE THIS :)))
(btw, assuming that the angle is 90 degrees)
A basket contains seven apples and four peaches. You randomly select a piece of fruit and then return it to the basket. Then you randomly select another piece of fruit. Both pieces of fruit are apples
Step-by-step explanation:
Total fruits = 7+ 4 = 11
Probability of apples = 7/ 11
The probability of the apples should be [tex]7\div 11[/tex]
Calculation of the probability:Since A basket contains seven apples and four peaches. You randomly select a piece of fruit and then return it to the basket.
So here the total fruits should be
= 7 + 4
= 11
Now the probability of the apple should be [tex]7\div 11[/tex]
hence, we can conclude that The probability of the apples should be [tex]7\div 11[/tex]
Learn more about probability here: https://brainly.com/question/20306112
A shirt is on sale for 30% off. The expression p minus 0.30 p, where p is the original cost of the shirt, can be used to find the sale price. Which expression means the same as decreased by 30%?
Answer:
Step-by-step explanation:
"the same as decreased by 30%" would be (1.00 - 0.30)(original cost), or
0.70(original cost)
Note: when answer choices are give, kindly share them. Thank you.
Write in point-slope form an equation of the line that passes through the point (6,−1) with slope −1/3.
Answer:
[tex]y=-\frac{1}{3} x-3[/tex]
Step-by-step explanation:
If you graph the equation, you'll see that the y-intercept is -3 and the slope is [tex]\frac{1}{3}[/tex]
Answer:
[tex]y-1=-\frac{1}{3}\left(x-0\right)[/tex]
Step-by-step explanation:
I graphed the equation on the graph below. I used the slope and the point given to create the equation of the line.
Admission to a local aquarium is $10 for adults and S7 for children. The aquarium collected $6,459 from the sale of 783 tickets. How many childrens tickets were sold?
(1) 326
(2) 362
(3) 417
(4) 457
Answer:
The answer is 457
Step-by-step explanation:
You set up an equation as
10a+7c=6459
a+c=783
c= child
a= adult
then you simplify to 3a=978 by taking out one of the values. You get a - 326.
783-326=457 so there is your answer
What number would go in the boxes
Step-by-step explanation:
I think
29.99 + 1.42 = 31.41
Point c maps to which point ??
Answer:
G ( I think)
Step-by-step explanation:
It's a reflection of it's self, so the only reasonable answer would be the the letter of the copied image of itself.
Think about it like a mirror. One side is what you see, but what is facing it is the original, so if the original is C then its copy is G.
What is the value of x?
Answer:
x=45
Step-by-step explanation:
Because angles TRS and TRV are a linear pair, their two angle measures must add up to 180 degrees. Therefore:
x+3x=180
4x=180
x=180/4=45 degrees
Hope this helps!
Answer:
45
Step-by-step explanation:
its a strait line so both of those angles are equal too 180 deg.
3x+x = 180
4x=180
x= 45
find the area!!! 10 points!!!
Answer:
A =112.1 in ^2
Step-by-step explanation:
The area is base times height
A =bh
A = 11.8 * 9.5
A =112.1 in ^2
help. me. please. thank. you
Answer:
10
Step-by-step explanation:
do 64/2 which is 32 and subtract 32-22 to get 10
So the right answer is 220mm^2.
look at the attached picture
Hope it will help you....
(◕ᴗ◕✿)
What is the lateral surface area of a cone that has a slant height 17 inches and a diameter of 13 inches? 107.5
Answer:
c.s.a of cone = pie r^2 + pie r l
radius = diameter/2 = 13/2
slant height (l) = 17
pie (13/2)^2 + pie 13/2 * 17
3.14 * 169/4 * 3.14 * 13/2 * 17
368246/8
= 46030
which of the following best describes the algebraic expression 7(x + 12) - 4
Answer:
7(x+12) - 4
7x + 84 - 4
7x + 80
A swimming pool has a radius of 8 feet and a height of 5 feet. The swimming pool is shaped like a cylinder. What is the volume of the swimming pool, to the nearest cubic foot? Use 3.14 for π
Answer:
1005cm³
Step-by-step explanation:
8² x 3.14 = 200.96 = surface area of face
200.96 x 5 = 1004.8 = 1005cm³
Answer:
Volume = 1004.8ft*3
However with full measure π it is slightly higher on calculator.
1005.31ft^3
Step-by-step explanation:
(V):3.14 x 8^2=200.96 x 5
(V):200.96 x 5 = 1004.8
Volume =1004.8ft^3
A company performed power tests on a set of batteries of the same type. The company determined that the equation y = 100 - 8.9x, where x is the number of hours of use and y is the percent of battery power remaining, models the battery life. Based on the equation, what is the best prediction of the percent of remaining power for a battery after 11 hours of use? *
A.1.2%
B.2.1%
C.10%
D.97.9%
Answer:
B) 2.1
Step-by-step explanation:
Answer: 2.1%
Step-by-step explanation:
y = 100 - 8.9 (11)
y = 100 - 97.9
y = 2.1
1. There were 144 people in attendance at the school football game last Friday. This week there were 346 people in attendance at the school football game.What is the percent of change from last week to this week?Round your answer to the nearest whole number
Answer:
percentage change ≈ 140%
Step-by-step explanation:
There were 144 people in attendance at the school football game last Friday. This week there were 346 people in attendance at the school football game.What is the percent of change from last week to this week?Round your answer to the nearest whole number
To calculate the percentage change, we will follow the steps below:
First, we will find the difference(that is increase) between 144 and 346
Increase = New number - Original number
= 346 - 144
= 202
Next is to divide the increase which is 202 by the original number which is 144 and then multiply by 100
That is;
percentage change = increase ÷ original number × 100
=202 / 144 × 100
≈ 140 to the nearest whole number
percentage change ≈ 140 %
Simplify the expression 27 divided by -3
Hey!!!
Here's your answer
27/-3
= -9
so the right answer is -9
hope it helps...
Answer:
-9 is the answer
Step-by-step explanation:
27 = -3(-9)
negative(negative)= Positive
Are these fractions proportional or non proportional?
3/8 , 13/40
Work please!
Answer:
Not proportional
Step-by-step explanation:
3/8 13/40
3/8*5/5
15/40
15/40≠13/40
Not proportional
When Landon runs the 400 meter dash, his finishing times are normally distributed with a mean of 60 seconds and a standard deviation of 1 second . If Landon were to 38 practice trials of the 400 meter dash , how many of those trials would be faster than 58 seconds , to the nearest whole number ?
Answer:
87% would be faster than 58 seconds
Step-by-step explanation:
Landon runs the 400 meter dash, his finishing times are normally distributed with a mean of 60 seconds and a standard deviation of 1 second
[tex]\mu = 60[/tex]
Standard deviation =[tex]\sigma = 1[/tex]
We are supposed to find Landon were to 38 practice trials of the 400 meter dash , how many of those trials would be faster than 58 seconds , to the nearest whole number i.eP(x<58)
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{58-60}{1}\\Z=-2[/tex]
Refer the z table for p value
P(x<58)=0.0228
Landon were to 38 practice trials
So, P(x<58)=[tex]38 \times 0.0228=0.8664[/tex]
So, 86.64% would be faster than 58 seconds
Hence 87% would be faster than 58 seconds
If two fair dice, one red and one white, are rolled, in how many ways can the result be obtained?
A different number on each die.
O A. 25 ways
OB. 30 ways
O c. 6 ways
D. 36 ways
Answer:
36 ways
Step-by-step explanation:
there are 6 numbers that are on that dice
so 6 times 6 is 36
which means that there are 36 ways to obtained the results
hope this makes sense
please solve!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
plug in and solve ☻
write each as a percent. use repeating decimal when necessary.
Answer:
27. 50%
28. 12.5%
29. 66.66%
30. 1%
31. 210%
32. 37.5%
33. 10%
34. 87%
Step-by-step explanation:
Which transformation applied to point P is described below?
Draw a line perpendicular to a given line and passing through P. Find the point the same distance from the given line as P but located on the other side of the given line.
A. reflection
B. rotation
C. translation
D. none of the above
Translation I believe , because reflecting would have the P upside down and that’s not represented
How to solve this kind of question?
Show steps!
Answer:
$130.34
Step-by-step explanation:
In this example, the total amount Myra has to pay is (original cost) + (total interest). This is because she has to pay interest because she bought clothes. Her total cost for the clothes is then 124.96+5.38=130.34
A father is four times as old as his son. In 3 years, the father will be three times as old as his son. How old is each now?
4x+3=3(x+3)
4x+3=3x+9
4x-3x=9-3
x=6
So The Father is 24 and the Son is 6