Answer: A. It would be shifted up.
Step-by-step explanation: the only thing that is changing in the two equations is the last number. The last number is not there in the second equation because the y-intercept is 0. The y-intercept in the first equation is -2 and shifts up 2 to y-intercept if 0. Therefore, your answer would be A. It would shift up.
The graph of the new equation compared with the original graph is the new graph would be shifted up.
Option A is the correct answer.
We have,
If the equation y = 12x - 2 were changed to y = 12x, the graph of the new function would be different from the original.
The original equation y = 12x - 2 represents a linear function with a slope of 12 and a y-intercept of -2.
The graph of this equation would be a straight line that is steep (with a slope of 12) and shifted downward by 2 units (due to the y-intercept of -2).
However, if we change the equation to y = 12x, the new equation represents a linear function with the same slope of 12 but with no y-intercept (it passes through the origin).
The graph of this equation would still be a straight line, but it would be shifted up compared to the original equation since the y-intercept has been removed.
Therefore,
It would be shifted up.
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help pleaseeeee picture attached
Answer:
The diagonal of the base is 4√5 centimeters.
The area of a base is 40 square centimeters.
The area of a lateral side between the bases is about 126.5 square centimeters.
Step-by-step explanation:
What is the midpoint of EC?
Answer:
(t+p,r)
Step-by-step explanation:
To find midpoint you average the x's and averages the y's of the endpoints.
So x-coordinate (2p+2t)/2 =p+t
So y-coordinate (2r+0)/2=2r/2=r
So midpoint (p+t, r)
Answer:
The correct answer is first option
(t + p, r)
Step-by-step explanation:
Points to remember
midpoint formula
Length of a line segment with end points (x1, y1) and (x2, y2) is given by,
Midpoint= [(x2 + x1)/2 , (y2 + y1)/2]
To find the midpoint of EC
Let (x1, y1) = E(2t, 0) and (x2, y2) = C(2p, 2r)
Midpoint = [(2t + 2p)/2 , (0 + 2r)/2]
= (2(t + p)/2 , 2r/2)
= (t + p, r)
Therefore midpoint of EC = (t + p, r)
The correct answer is first option
Find the distance between the points (-2, 4) and (4, -6).
0 212
2/(10)
O2V(34)
Answer:
2[tex]\sqrt{34}[/tex]
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (4, - 6)
d = [tex]\sqrt{(4+2)^2+(-6-4)^2}[/tex]
= [tex]\sqrt{6^2+(-10)^2}[/tex]
= [tex]\sqrt{36+100}[/tex]
= [tex]\sqrt{136}[/tex] = [tex]\sqrt{4(34)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{34}[/tex] = 2[tex]\sqrt{34}[/tex]
90 points?with explanation
A transversal is a line that passes through two lines (as shown above) on the same plane.
N is the transversal since it passes through line L and M at two distinct points.
Answer:
A transversal is a line that passes through two lines (as shown above) on the same plane.
N is the transversal since it passes through line L and M at two distinct points.
Step-by-step explanation:
NEED HELP 10 POINTS
Answer:
1/28
Step-by-step explanation:
Before picking 1st song
Total songs = 8
Rock songs = 2
Probability of picking a rock song as the first song,
= 2 rock songs out of 8 total songs remaining
= 2/8
After picking 1st song
Total songs left over = 7
Rock songs left over = 1
Hence, Probability of picking a rock song as the second song,
= 1 rock song out of 7 total songs remaining
= 1/7
Probability of picking 2 consecutive rock songs,
= [tex]\frac{2}{8}[/tex] x [tex]\frac{1}{7}[/tex]
= [tex]\frac{1}{28}[/tex]
The line l has equation 3x+4y=24. It crosses the x-axis at the point P and the y-axis at point Q. (a)Find the coordinates of P and Q.
Answer:
P = (8, 0) and Q = (0, 6)
Step-by-step explanation:
To find where the line crosses the x- axis, substitute y = 0 into the equation and solve for x
3x + 4(0) = 24
3x = 24 ( divide both sides by 3 )
x = 8 ⇒ P = 8 ⇒ (8, 0 )
To find where the line crosses the y- axis substitute x = 0 into the equation and solve for y
3(0) + 4y = 24
4y = 24 ( divide both sides by 4 )
y = 6 ⇒ Q = 6 ⇒ (0, 6 )
The perimeter of a rectangle is greater than or equal to 74 meters.
If the length is 25 meters, the minimum width of the rectangle is ______ meters.
Answer:
12
Step-by-step explanation:
First, multiply the length by two then, subtract the total by the sum, last divide by two.
(25 * 2)
(74 - 50)
(24/2)
Answer = 12
Answer:
w>/=12
Step-by-step explanation:
2(25)+2w>/= 74
50+2w>/=74
-50 -50
2w>/=24/2
w>/=12
The lenghts of two sides of a right triangle are 5 inches and 8 inches. What are the difference between the two possible lenghts of the third side of the triangle? Round your answer to the nearest tenth
See the attached picture:
20 Points!!
Solve 2(4 x + 3) < 5 x + 21.
A) { x | x < 9}
B) { x | x > -5}
C) { x | x > -9}
D) { x | x < 5}
Answer:
D
Step-by-step explanation:
8x-5x<21-6
x<15÷3
x<5
Answer:
D) { x | x < 5}
Step-by-step explanation:
2(4 x + 3) < 5 x + 21
Distribute
8x +6 < 5x+21
Subtract 5x from each side
8x-5x+6 < 5x-5x+21
3x+6 < 21
Subtract 6 from each side
3x+6-6<21-6
3x <15
Divide each side by 3
3x/3 <15/3
x < 5
F(x)=x/2-2 and g(x)=2x^2+x-3 find (f+g)(x)
Answer:
[tex]\large\boxed{(f+g)(x)=2x^2+\dfrac{3}{2}x-5}[/tex]
Step-by-step explanation:
[tex](f+g)(x)=f(x)+g(x)\\\\f(x)=\dfrac{x}{2}-2=\dfrac{1}{2}x-2\\\\g(x)=2x^2+x-3\\\\(f+g)(x)=\left(\dfrac{1}{2}x-2\right)+(2x^2+x-3)\\\\=\dfrac{1}{2}x-2+2x^2+x-3\qquad\text{combine like terms}\\\\=2x^2+\left(\dfrac{1}{2}x+x\right)+(-2-3)\\\\=2x^2+1\dfrac{1}{2}x-5\\\\=2x^2+\dfrac{3}{2}x-5[/tex]
The students at Midtown Middle school sold flowers as a fundraiser in September and October. In October, they charged $1.50 for each flower. The October price was a 20% increase of the September price.
Part A
What was the price of the flowers in September?
Enter your answer in the box.
$
Part B
The seventh-grade class earned 40% of the selling price of each flower.
In September, they sold 900 flowers.
In October, they sold 700 flowers.
Select a choice from each drop-down menu to make a true statement.
The seventh-grade class earned more money in by
Save
Answer:
[tex]\boxed{\text{A. \$1.25; B. September by 4.7 \%}}[/tex]
Step-by-step explanation:
Part A. Price of flowers in September
Let x = price of flowers in September.
Then 1.2x = price of flowers in October
1.2x = $1.50
[tex]x = \dfrac{\$1.50 }{1.20} = \$1.25\\\\\text{The price of flowers in September was }\boxed{\textbf{\$1.25}}[/tex]
Part B. Seventh-grade class
40 % of September price = 0.40 × $1.25 = $0.50
40 % of October price = 0.40 × $1.50 = $0.60
In September
[tex]\text{Earnings} = \text{900 flowers} \times \dfrac{\$0.50}{\text{1 flower} } = \$450[/tex]
In October,
[tex]\text{Earnings} = \text{700 flowers} \times \dfrac{\$0.60}{\text{1 flower} } = \$430\\\\\text{Difference} = \$450 - \$430 = \$20[/tex]
The class earned $20 more in September.
Compared with October earnings,
[tex]\text{\% Difference} = \dfrac{\text{Difference}}{\text{October earnings}} \times 100\%\\\\\text{\% Difference} = \dfrac{\$20}{\$430} \times 100\% = 4.7 \%\\\\\text{The class made more money in } \boxed{\textbf{September}} \text{ by } {\boxed{\mathbf{4.7 \%}}[/tex]
The answer above me deserves brainliest !! They did so well!!!
What is the value of y in the equation 3 (3y - 9) = 0
Answer:
y=3
Step-by-step explanation:
3 (3y - 9) = 0
Divide each side by 3
3/3 (3y - 9) = 0/3
3y -9 = 0
Add 9 to each side
3y -9+9 = 0+9
3y =9
Divide by 3
3y/3 = 9/3
y =3
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A computer manufacturer had net sales of $380 million with returns equal to 1/80 of gross sales . Find gross sales rounded to the nearest million given that net sales equals gross sales less returns .
Answer:
4.75 is the answer
Step-by-step explanation:
The Gross sales were 393 million.
It is required to find the gross sales rounded to the nearest million
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let gross sales = x millions
Returns = 1/80xmillions
x-1/80x=380
29x/30=380
x=380*30/29
x=393.10≈393
Therefore, the Gross sales were 393 million.
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Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they intersect?
Answer:
Yes,they will intersect at (0.686,3.941) and (2.914,-2.741)
Step-by-step explanation:
Given the values that represent the function g(x) you can plot them directly on a graph tool and plot the function y²+x²=16 then visualize
You can also determine the equation of the linear function as then graph both equations on the graph tool
Finding gradient m
Given (0,6) and (1,3)
m=change in value of y/change in value of x
[tex]m=\frac{3-6}{1-0} =\frac{-3}{1} =-3[/tex]
Finding the equation of the linear function
Taking points (2,0) and (x,y)
[tex]m=\frac{y-0}{x-2} \\\\-3=\frac{y-0}{x-2} \\\\\\-3(x-2)=y-0\\\\\\-3x+6=y-0\\\\\\y=-3x+6[/tex]
From the graph,they intersect at
(0.686,3.941) and (2.914,-2.741)
Answer:
Yes, at positive x coordinates
What are the coordinates of the center and length of the radius of the circle whose equation is X^2+6x+4y=23?
The center of the circle is (-3, -9/2) and the radius is sqrt(41)/2.
Explanation:To find the coordinates of the center and length of the radius of the circle, we need to rewrite the equation of the circle in the standard form (x-h)^2 + (y-k)^2 = r^2. First, complete the square for the x and y terms by adding and subtracting the necessary constants:
x^2 + 6x + 4y = 23
x^2 + 6x + 9 + 4y + 9 = 23 + 9 + 9
(x + 3)^2 + (y + 9/2) = 41/4
Therefore, the center of the circle is (-3, -9/2) and the radius is sqrt(41/4), which simplifies to sqrt(41)/2.
(Minimum or maximum),
(4, 8, 7, 23.)
Answer:
minimum value of 7
Step-by-step explanation:
It is open up so it has a minimum
The minimum value is the lowest y
So we first must find the x that the point happens at which is -b/(2a)
So -(-8)/(2*1)=8/2=4
Now to find the y use y=x^2-8x+23
y=4^2-8(4)+23
y=16-32+23
y=-16+23
y=7 (lowest y-minimum value is 7)
In a group of 100 people, 70 have a DVD player, 60 have a CD
player and 20 have neither. How many have both?
Final answer:
By using the principle of inclusion-exclusion, we can find that 50 people have both a DVD player and a CD player in a group of 100 people.
Explanation:
To find out how many people have both a DVD player and a CD player, we can use the principle of inclusion-exclusion.
According to the problem, there are 100 people in the group. Out of these, 70 have a DVD player, 60 have a CD player, and 20 have neither.
We can begin by subtracting those who have neither from the total to find out how many people have at least one of the devices:
100 - 20 = 80 people have at least one device.
Now, if we add the number of people who have a DVD player to the number of people who have a CD player, we would double count those who have both. So, we subtract the total number who have at least one device from this sum:
70 (DVD owners) + 60 (CD owners) - 80 (at least one device) = 50 people who have both a DVD and CD player.
Find the value of x for which m||n
A:38 B:62 C:103 D:150
Answer:
I think the answer is B= 62
Step-by-step explanation:
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The perimeter of an equilateral triangle is 18y-6. What is the length of one side of the triangle
Answer:
An equilateral triangle has all sides equal.
If perimeter = 18y -6 then one side = (18y -6) / 3 =
6y -2
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
18y-6
y=18/6
y=3
18*3=54
Kite ABCD is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis. What is the location of point a after the transformations are complete? (5,-1), (-5,1), (-5,-1), (5,1)
Answer:
(-5, 1)
Step-by-step explanation:
We are given a kite on the graph which is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis.
We are to find the coordinates of point A after the complete transformation.
A (-5, 1)
When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.
A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin
Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.
A' (5, -1) ---> A'' (-5, -1) - after reflection through y axis
Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.
A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation
Answer:(-5, 1)
Step-by-step explanation:
Write the equation of the graph
what is the simplify of the expression where possible (r3s2t)4
Answer:
The simplification of the given expression (r3s2t)4 is:
r¹²s⁸t⁴
Step-by-step explanation:
Given expression:
(r³s²t)⁴
power of '4' on the whole term will be applied to individual terms after we open the brackets. In this case the power on the whole term will be multiplied to the power of each individual term:
= (r³)⁴(s²)⁴(t1)⁴
= r³ˣ⁴ s²ˣ⁴ t¹ˣ⁴
= r¹²s⁸t⁴
A rectangular swimming pool is 15 meters long, 13 1 2 meters wide, and 1 1 2 meters deep. What is its volume?
Answer: 1439
Step-by-step explanation:
Volume= Length* breadth* height
= 15*1312*112
= 1439
What is the slope of the line trated in the picture below?
Note: One scale is equivalent to 1.
11
Answer:
-2 = m
Step-by-step explanation:
y = -2x + 2; your y-intercept is [0, 2] and your x-intercept is [1, 0] (not all the time your x-intercept will be an endpoint). Simply do rise\run until you hit another endpoint. As you can see, you go two blocks south then go one block over east. Do you understand?
find an equation of the line passing through the given points. Use function notation to write the equation (-4,-5) and (-8,-6)
The sum of the exterior angles of a polygon is always 180 degrees. True False
Answer:True
Step-by-step explanation:
Answer:
The sum of the exterior angles of a polygon is always 180 degrees.
Step-by-step explanation:
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25 points? last one..Lol
Answer:
38
Step-by-step explanation:
The 38-deg angle and and angle 6 are vertical angles, so they are congruent.
m<6 = 38 deg
Angles 6 and 4 are corresponding angles of parallel lines cut by a transversal, so they are congruent.
m<4 = m<6 = 38 deg
Answer:
38
Step-by-step explanation:
< 6 = 38 vertical angles
< 6 = <2 alternate interior angles
<2 = <4 vertical angles
<4 = 38
Is (0,0) a solution to this system?
ys x2 - 4
y> 2x-1
Answer:
C
Step-by-step explanation:
Ok, so to do this, we are just going to plug in (0,0) and see it it checks out.
Let's take the first question. y[tex]y\geq x^{2} -4[/tex]
When we plug (0,0) into this, we get the following
[tex]0\leq 0^{2} -4[/tex]
[tex]0\leq 0-4[/tex]
[tex]0\leq -4[/tex]
This is false.
Let's check the other equation:
[tex]0>2(0)-1\\0>0-1\\0>-1[/tex]
This is true.
So the correct answer is C
Are these fractions equivalent or nonequivalent?
3a/4b 9a/12b
Click on the correct answer.
nonequivalent
equivalent
Answer:
3a/4b and 9a/12b are equivalent
Step-by-step explanation:
3a/4b is multiplied by 3/3 to get 9a/12b
Answer:
equivilent
Step-by-step explanation:
it is equivalent because if divide 9a and 12b both by 3, it equals 3a/4b. Both fractions have the same lowest common denominator.
Hope this helps!
F (- 12) = 2/3(-12)+7
F (- 12) = 2/3(-12)+7
F (- 12) = 2(-4) + 7
F(-12) = -8 + 7
F(-12) = -1