Which equation is parallel to y = –3 x + 4 and passes through the point (–3 , 4)?
The equation given has a slope of -3. See it? The equation we are looking for must have the same slope because the lines are parallel to each other. This means the lines never meet or touch on the xy-plane.
We use the point-slope formula to find the equation.
Here is the point-slope formula:
y - y_1 = m(x - x_1)
y - 4 = -3(x - (-3))
y - 4 = -3(x + 3)
y - 4 = -3x - 9
We now isolate y to find our equation.
y = -3x - 9 + 5
y = -3x - 4
Done.
Following are the calculation to the given line which is parallel:
Given:
[tex]\bold{ line: \ y=-3x+4}\\\\\bold{ point: (-3,4)}[/tex]
To find:
Calculating the equation=?
Solution:
General equation of a line: [tex]\bold{y = mx + c}[/tex]
Equation of a line: [tex]\bold{y-y_1=m(x-x_1)}[/tex]
By comparing the line equation with the general equation of a line:
[tex]\to \bold{m=-3}\\\\\to \bold{c=4}\\\\[/tex]
Using a line equation and put the point and slope value in it:
[tex]\bold{Point: (-3,4)}\\\\\bold{m=-3}[/tex]
[tex]\to \bold{y-4=-3(x-(-3))}\\\\\to \bold{y-4=-3(x+3)}\\\\\to \bold{y-4=-3x-9}\\\\\to \bold{y=-3x-9+4}\\\\\to \bold{y=-3x-5}\\\\[/tex]
Therefore, the final answer is "[tex]\bold{y=-3x-5}[/tex]"
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Solve -4(3x – 7) = 40 for x.
need a correct answer please
Answer:
x = 6
Step-by-step explanation:
Since the triangles are congruent, then corresponding sides are congruent, that is
QS = TV , substitute values
6x + 12 = 9x - 6 ( subtract 6x from both sides )
12 = 3x - 6 ( add 6 to both sides )
18 = 3x ( divide both sides by 3 )
6 = x
Answer:
x = 6
Step-by-step explanation:
x = ?
6x + 12 = 9x - 6
get the variables and numbers on different sides
6x + 12 - 6x = 12
9x - 6 + 6 = 9x
12 + 6 = 18
9x - 6x = 3x
3x = 18
divided each side by 3
3x / 3 = x
18 / 3 = 6
x = 6
How to find
range
mode
median
mean
Answer:
- Mode-The most repetitive number! - Median:The number in the MIDDLE when they are IN ORDER! - Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS! - Range - THE BIGGEST minus the Smallest!
branliest
Step-by-step explanation:
Range: To find the range we have find the smallest and highest numbers in a list or set. To find the range put the number on order, and then subtract the lowest number from the highest number.
Mode: To find the mode of a data set, we have to look the number that occurs most frequently in the set, and to find the mode we have to count how many times each number occurs.
Median: To find the median, first order the numbers from smallest to largest. Then find the middle number.
Mean: To find the mean we have to add up all the numbers, Then divide by how many numbers there are.
Which graph shows a system with an infinite number of solutions?
A. Graph C
B. Graph A
C. Graph B.
Answer:
The answer is graph C.
Step-by-step explanation:
Because both equations give the same line, it's infinitely solutions.
If a driver drives at a constant rate of 32 miles per hour, how long would it take the driver to drive 323 miles?
Answer:
About 10 hours
Step-by-step explanation:
The data in this table represents a linear function.
What is the slope of this line?
−2
−12
12
2
x y
6 −7
8 −11
11 −17
15 −25
I’m begging you help me!!! 1. The table below shows 3 recipes for a fruit punch
flavored drink. Will all 3 recipes taste the same? (hint:
Write each ratio as a fraction then simplify to see which
are equivalent ratios)
2. Will any of them taste different?
r
Be sure to use the vocabulary word: EQUIVALENT
RATIOS in your answer.
water
cups
1
4
12
0
18
Answer:
The answer to this question is given below in the explanation section.
Step-by-step explanation:
The table shows three different recipes. In this question, it is asked that will all the recipes taste same. To obtain the answer to this question, first, we measure the taste of each recipe in terms of calculating the ratio.
Water ............................. Cups
1 ............................. 3
4 ............................. 12
6 ............................. 18
1. The fraction of the first recipe is 1/3 so the ratio is 1:3(water to cup)
2. The fraction of the second recipe is 4/12
which can be simplified as 4/12=1/3 so the ratio is 1:3(water to cup)
3. The fraction of the third recipe is 6/18
which can be simplified as 6/18 = 3/9 = 1/3 so the ratio is 1:3(water to cup).
So based on the above answer, all recipes taste the same.
Answer 2:
No recipe taste different, all the recipe taste the same. Because all the recipe ratios are equivalent.
A point is located at (5,-4) .It is reflected across the x-axis . What are the coordinates of the reflected point
Answer:(5,4)
Step-by-step explanation:
Answer:
(5,4)
Step-by-step explanation:
Negative three times a number is less than six
.... Hope this will help....
Answer:
-3(x)= -6
Step-by-step explanation:
i think this is it hope it helps!
Can also be written as -3x = -6
Write in exponential form
Answer and explanation in screenshot:
m a t h w a y solution: (2/5)^3 = 8/125
Symbolab explanation in image
Brian is downloading episodes of his favorite TV show to
play on his personal media device. The cost to download
1 episode is $1.99. The cost to download 2 episodes is
$3.98. The cost to download 3 episodes is $5.97. Write a
function to represent the arithmetic sequence.
an
=
n
I
Answer:
I had the same question for math high school but the answer is 1.99
Step-by-step explanation:
hi everyone!! goodmorning :))
Answer:
hiiiiiiiiiiiiiiii
Step-by-step explanation:
IN triangle DEF, DE is congruent to FD and m
Answer:
The measure of angle E is 55°
Step-by-step explanation:
In an isosceles triangle, the vertex angle is the angle including between the two equal sides, the base angles are the other angles of the triangle, the base angles are equal in measures
In triangle DEF
∵ DE is congruent to FD
∴ The length of DE = the length of FD
∵ ∠D is the angle including sides DE and FD
∴ ∠D is the vertex angle
∴ ∠F and ∠E are the base angles
∵ The base angles of the isosceles triangle are equal in measures
∴ m∠F = m∠E
∵ m∠F = 55°
∴ m∠E = 55°
∴ The measure of angle E is 55°
The histograms below summarize the average travel time to work for random samples of 70
workers in the Los Angeles area and 61 workers in the New York City area.
(a) Briefly compare the distributions of travel times for these two regions.
(b) Suppose you wanted to make the point that typical travel time is longer in the New York City area than in the Los Angeles area. Which measure of center would you use? Justify
your answer.
Answer:
(a) The travel times of the Los Angeles workers have a higher variability than those of the New York City area and about 54 out the 70 Los Angeles workers take longer (over 20minutes) than the maximum travelling time for the New York City workers (18 minutes) when they travel to work
(B) (i) The percentage of workers that travel close to the maximum travel times given in the data of the two cities
(ii) Almost half of the New York City area workers spend between 40 and 100 minutes to work, while almost half (32) of the Los Angeles workers spend between 0 and 20 minutes to work every day
Step-by-step explanation:
The travel times for the 70 Los Angeles workers are;
Number of workers [tex]{}[/tex] Travel time
32 [tex]{}[/tex] 0 - 20 minutes
22 [tex]{}[/tex] 20 - 40 minutes
10 [tex]{}[/tex] 40 - 60 minutes
4 [tex]{}[/tex] 60 - 80 minutes
2 [tex]{}[/tex] 80 - 100 minutes
The travel times for the 61 New York City area workers are;
18 [tex]{}[/tex] 0 - 20 minutes
14 [tex]{}[/tex] 20 - 40 minutes
10 [tex]{}[/tex] 40 - 60 minutes
12 [tex]{}[/tex] 60 - 80 minutes
7 [tex]{}[/tex] 80 - 100 minutes
Workers in Los Angeles averagely take short time to reach to workplace than in New York.
Descriptive statistics like mode, IQR, skewness etc do care about how the data is more leaning on one side than other. That is why these types of measures are helpful here.
Given data includes:
For Los Angeles: 32, 22, 10, 4, 2 (skewed left)
For New York: (18, 14, 10, 12 ,7) (very slightly skewed left)
Part a.
Comparing the distributions of travel times for both of the regions:
Histogram of Los Angeles is more skewed to the left. (values like 32, 20 lies on the left, and 5, 2 on the right tail)
Histogram of New York, in comparison to the histogram of Los Angeles is not that skewed and lies approximately leveled but is slight skewed to left.
This hows that time taken by worker to travel in Los Angeles is averagely very short and count of workers taking longer time falls dramatically.
On the other hand, that above thing doesn't happen for workers in New York.
Part b.
Central measure "Mode" can be used here. The reason of choosing mode is that it focuses on frequency and gives weights to outliers too. Mean, on the other hand takes average of all values thus might forget the data of skewness.
The 3rd moment of measure of skewness can be used to measure the degree of skewness in both the data.
Inter Quartile Range is also useful since it will tell quartile to quartile measures which can help not loose the data of skewness.
So, the important thing that should be included in the measure we use to describe this data is to include the information of skewness of the graph.
Descriptive statistics like mean, standard deviation etc forget about skewness.
Descriptive statistics like mode, IQR, skewness etc do care about how the data is more leaning on one side than other. That is why these types of measures are helpful here.
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can anyone answer these 4? if so ill give 40 points. please show work!! and no long division please. , thanks!
54 x 89
123 x 85
64 x 15
264 x 14
The graph of y= is shown.
a) Estimate the x-coordinates of the turning points of the graph.
b) Use the graph to find the solutions of x^3+x^2-6x=0
Answer:
Below.
Step-by-step explanation:
(a). From the graph the x estimates of the turning points are
-1.8 and 1.1.
(b). The solutions are where the graph crosses the x axis .. They are:
x = -3, 0 and 2.
Copper is a metal.
At room temperature copper is a strong solid.
Give two other properties of copper that show it is a metal.(pleez help ver urgent
Answer:
ductile
Step-by-step explanation:
Two other properties of copper that show it is a metal are malleable and ductile.
What is a metal?A metal is a substance that exhibits a better surface when properly processed, refined, or shattered, and transports warmth and electricity rather well. Generally speaking, metals generally malleable and ductile. These characteristics are the outcome of the metallic link that exists here between metal particles or atoms.
This suggests that the metal is ductile, malleable, and a superb energy and heat transmitter. It can be cleaned to a bright gloss and is smoother than zinc.
Unlike gold and silver, it is a member of group Ib on the regular chart. The chemical stability of copper is minimal. The metal when presented at room temperature will be in the solid phase.
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#SPJ2
i need help tell me what the voulume is
Answer:
8 3/4 cubic or 8.75
Step-by-step explanation:
To find volume it’s
Length * width * height
GIVING BRAINIEST for the correct answer
Please hurry with this question
Answer:
B
Step-by-step explanation:
Answer:
The answer would be Choice B.
Step-by-step explanation:
You are multiplying every number in the brackets by -5.
-5 x 8 = -40
-5 x 1 = -5
-5 x -2 = 10
-5 x 6 = -30
what is the slope of -3/2 (3,1)
Answer:
y= -3/2
Step-by-step explanation:
formula: y-y1=m(x-x1)
y-1=-3/2(x-3)
y-1=-3/2x+9/2
y= -3/2x+11/2
this is now in y=mx+b form. m=slope /
Tell whether the triangle with the given side lengths is a right triangle.
14 ft, 48 ft, 50 ft
Yes
No
Answer:
Yes
Step-by-step explanation:
a^2+b^2=c^2
14^2+48^2=50^2
196+2304=2500
2500=2500
what is 15% tip on a meal that costs $30.50?
Somebody help with 1& 2
Answer:
4. (d) option is correct because -7-(-5) = -7+5 ( Because - and - makes a plus .
Hope it does aid you .
Pls mark brilliant .
PLease help will brainlist
Answer:
7. Option D
9. Option B
10. Option C
Step-by-step explanation:
Answer:
7. Option D
9. Option B
10. Option C
Mark as Brainliest!!!
help!!! please i don’t understand
Answer:
x = 10
Step-by-step explanation:
DEC is a right angle, right angles equal 90 degrees
so this means 7x + 20 needs to equal 90
7 x 10 + 20 = 90
Let f(x) = x - 3 and g(x) = x + 11. Find f(x) · g(x).
A)x^2 - 8x - 33
B)x^2 - 8x + 14
C)x^2 + 8x + 14
D)x^2 + 8x - 33
Answer:
i think its D
f(x) = x-3 and g(x) = x+11
f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33
hope this helped :3
Answer:
D
Step-by-step explanation:
(x-3)(x+11)=x^2+11x-3x-33=x^2+8x-33
Given rectangle QUAD, If DU = 5x - 4 and QP = 2x + 7, then find the length of DU.
Answer:
DU = 86
Step-by-step explanation:
Properties of a rectangle,
- Opposite sides are equal in measure.
- Diagonals of a rectangle are equal.
- Diagonals bisect each other.
In the given rectangle QUAD,
Diagonals AQ and DU bisect each other at P.
AQ = DU
2(QP) = DU [Since, AQ = 2(PQ)]
2(2x + 7) = 5x - 4
4x + 14 = 5x - 4
5x - 4x = 14 + 4
x = 18
Since, DU = 5x - 4
DU = 5(18) - 4
= 90 - 4
= 86
Therefore, measure of DU = 86 units
5x4x3(7-7)x334 what is the answer
Answer:
The Answer is 0
Step-by-step explanation:
5x4x3(7-7)x334
5x4x3x0x334
Anything multiplied by 0 will equal 0
Answer:
I got 0
Step-by-step explanation:
5*4*3*(7-7)*334
5*4*3*0*334
20*3*0*334
60*0*334
0*334
=0