(-2,-6) and (2,-3) are points on the graph
Here, we want to select the ordered pairs that are on the graph
What we have to do here is to substitute the coordinates of the points into the equation
If we substitute say for example the x value, and we are able to get the y value, then the point is on the graph
We look at each of the points as follows;
a) (-9,-6)
\(3(-9)-4(-6)\text{ = -27+24 = -3}\)This is not on the equation
b) (-2,-6)
\(3(-2)-4(-6)\text{ = 6+24 = 18}\)This is a point on the graph
c) (0,6)
\(3(0)-4(6)\text{ = 0-24 = -24}\)This is not on the graph
d) (2,-3)
\(3(2)\text{ -4(-3) = 6+12 = 18}\)This is a point on the graph
e) (3,10)
\(3(3)-4(10)\text{ = 9-40 = -31}\)This is not a point on the graph
In the function above, the slope will be multiplied by -4, and the y-value of the y-intercept will be decreased by 1 unit. Which of the following graphs best represents the new function? A. Y B. X C. W D. Z
Multiplying the slope by -4 will result in a negative slope. The correct answer is option Y.
Based on the given information, the slope of the function will be multiplied by -4, and the y-value of the y-intercept will be decreased by 1 unit.
Looking at the graphs, we can determine that the slope of the original function is positive, as it rises from left to right. Therefore, multiplying the slope by -4 will result in a negative slope. This immediately eliminates options X and Z, as they still have positive slopes.
Next, we need to consider the change in the y-intercept. The y-intercept represents the point where the graph intersects the y-axis. Decreasing the y-value of the y-intercept by 1 unit means the graph will shift downward.
Comparing the remaining options, Y and W, we can see that option Y best represents the new function. It has a negative slope and is shifted downward compared to the original function. Option W has a positive slope and does not reflect the shift in the y-intercept as described.
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Please answer, will give 5 star.
Answer:
The first one
Step-by-step explanation:
She cant buy anything over $15, but she can buy something thats $15 :))
10. The volume of Cube A is 125 cubic inches. The face of Cube B has an area of 36 square inches.
Which cube has a greater side length?
Answer:
Cube B
Step-by-step explanation:
a = \(\sqrt[3]{125}\)
a = 5
6in x 6in = 36\(in^{2}\)
5 < 6 so A < B
The side length of Cube A ≈ 5 inches
The side length of Cube B = 6 inches
Cube B has a greater side length than Cube A.
We have,
To compare the side lengths of Cube A and Cube B, we need to find the side length of each cube.
For Cube A:
The volume of Cube A = side length³
125 = side length³
To find the side length of Cube A, we take the cube root of 125:
side length of Cube A = ∛125 ≈ 5 inches
For Cube B:
The area of one face of Cube B = side length²
36 = side length²
To find the side length of Cube B, we take the square root of 36:
side length of Cube B = √36 = 6 inches
Now, we can compare the side lengths of both cubes:
The side length of Cube A ≈ 5 inches
The side length of Cube B = 6 inches
Since 6 inches is greater than 5 inches, Cube B has a greater side length than Cube A.
Thus,
Cube B has a greater side length than Cube A.
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Can you please help me !!
Step-by-step explanation:
i think 2 because the 10 could be divided by 5
which would give you
r ^2 + 2
1. 2
PLEASE HELP WHIEVER ANSWERS I WILL GIVE BRAINLIEST
Answer:
3.19% crew were absent
4. Rangers played 162 games
Step-by-step explanation:
What is the graph represents the equation y=1/3x+2
Step-by-step explanation:
step 1. you mean which graph represents the equation y = (1/3)x + 2?
step 2. please provide the graphs - they are missing.
step 3. the equation has a slope of 1/3 which means it goes up one and three to the right.
step 4. the y intercept is 2 so it goes through the point (0, 2).
An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times.
Find the 99% confidence interval for the difference in means.
Child
2
3
4
Trial 1
108 140
154
115
Trial 2
99
118 154
96
5
130
108
107
102
110
0 0.7
0-07<4-4 < 23.5
0-29
O 29
A reading specialist wanted to estimate the mean word length, in number of letters, for an elementary school history textbook. The specialist took repeated random samples of size 100 words and estimated the mean and standard deviation of the sampling distribution to be 4. 9 letters and 0. 15 letter, respectively.
Based on the information given, the estimated mean word length of the book is 4.9 letters and the estimated standard deviation of the sampling distribution is 0.15 letters.
The reading specialist is trying to estimate the population mean word length of an elementary school history textbook, but it is not practical or possible to measure the word length of every single word in the book. So, instead, the specialist takes repeated random samples of 100 words from the book and calculates the mean word length of each sample. Based on these repeated samples, the specialist estimates that the mean word length of the book is 4.9 letters. This means that, on average, the words in the book are about 4.9 letters long. The specialist also calculated the standard deviation of the sampling distribution, which is a measure of the variability of the sample means. In this case, the standard deviation of the sampling distribution is estimated to be 0.15 letters. This means that the mean word length of each random sample is expected to vary by about 0.15 letters from the population mean. It is important to note that these estimates are based on a specific set of samples and are subject to sampling variability. If the specialist were to take different random samples, the estimates may be slightly different. However, based on the information given, the estimated mean word length of the book is 4.9 letters and the estimated standard deviation of the sampling distribution is 0.15 letters.
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The present number of students of a school is 1000. If per 5 students carry 1 student every year, find the number of students increased after 2 years.
Answer:
400 students increased after 2 years in the school
Step-by-step explanation:
(1000÷5)1×2
=)200×1×2
=)200×2
=)400 students
In the diagram below, dg df
Answer:
1) DC and DG
2) D
3) <GDE
4) acute
5) obtuse
Step-by-step explanation:
1) DC and DG
2) D
3) <GDE
4) acute
5) obtuse
please help me with theses!! need to get it done asap.
Answer:
Question 1 : Pierre is right
Question 2 : 0.85 (because 1 - 0.15 = 0.85)
Question 3 : Less than 1
Step-by-step explanation:
I have 3 dimes and a nickel what fraction of a dollar do i have
Answer:
35/100 or 7/20
Step-by-step explanation:
3dimes = 10 a nickel=5. 30+5 is 35 which is 35/100 or 7/20.
Hope this helps plz mark brainliest :D
y-5x 7x + xy x = 0 and y = 4
Answer:
x(7y)x(7y)
Step-by-step explanation:
The given expression: 7(xy)7(xy)
i.e. a product of 7 and xy.
The operation used here: Multiplication.
Commutative property of multiplication :-
a\times b=b\times aa×b=b×a for any numbers a and b.
Associative property of multiplication :-
a\times(b\times c)=(a\times b\times c)a×(b×c)=(a×b×c) for any numbers a , band c.
Now, 7(xy)=(7x)y7(xy)=(7x)y [Associative property of multiplication]
=(x7)y=(x7)y [Commutative property of multiplication]
=x(7y)=x(7y) [Associative property of multiplication]
A wheel rotates 15 times each minutes. How many degrees will it rotate in 1 second of time?
Answer:
In 1 second it Rotates 15× 360 / 60
Step-by-step explanation:
Wheel Rotates 15 times in 60 seconds
This implies that the wheel completes
15 × 360 degrees in 60 seconds
therefore,
In 1 second it Rotates 15× 360 / 60
=> 15×6 = 90 °
in 12 seconds , 12×90 = 1080°.
calculate how much is the water consumption in litres than the suggested in the Mabele household
Answer:
i don't know
Step-by-step explanation:
first you read the question then you realize it is to hard to answer so you type this to get 15 points
Which expression is equivalent to 3.2y-1/3+(-7y)+2/3
A. -10.2y+1/3
B. -3/8y+1/3
C. -3 7/15y
D. -3y
Answer:
D or -4y - 1
Step-by-step explanation:
3y-8 + (-7y) + 9
3y-7y + 9-8
(3y-7y) + (9-8)
-4y-1 is the answer.
I suppose D, -3y is the closest answer.
Two boats leave the same marina. One heads north, and the other heads
east. After some time, the northbound boat has traveled 39 kilometers, and
the eastbound boat has traveled 52 kilometers. How far apart are the two
boats
The distance travelled by the two boats forms a right triangle. Thus, applying the Pythagorean Theorem we find out that the two boats are 65 kilometers apart from each other after travelling 39 kilometers north and 52 kilometers east. Thus, 1st option is correct.
It is given to us that -
There are two boats
One boat heads north while the other heads east
The boat travelling north has traveled 39 kilometers
The boat travelling south has traveled 52 kilometers
We have to find out the distance between the two boats after they have travelled the respective distances.
It is known to us that one boat heads north while the other heads east. We can see that the trajectory formed between the two boats resembles a right triangle as they start from the same point.
One leg of the right triangle formed equals to the distance travelled by the boat travelling north.
Let us say the distance travelled by the boat travelling north be "a".
=> a = 39 kilometers ----- (1)
Other leg of the right triangle formed equals to the distance travelled by the boat travelling east.
Let us say the distance travelled by the boat travelling east be "b".
=> b = 52 kilometers ------ (2)
Now, the distance between the two boats after they have travelled the respective distances is equal to the value of the hypotenuse of the right triangle formed.
Let us say the hypotenuse of the right triangle formed be "h".
According to the Pythagorean Theorem for a right triangle,
\(a^{2} +b^{2} =h^{2}\) ---- (3)
where, a, b = legs of the right triangle
and, h = hypotenuse of the right triangle
Substituting the values of a and b from equations (1) and (2) respectively in equation (3), we have
\(a^{2} +b^{2} =h^{2}\\= > 39^{2} +52^{2} =h^{2}\\= > h^{2}=1521+2704\\= > h^{2}=4225\\= > h=65\)
So, the value of the hypotenuse of the right triangle formed is 65 kilometers.
Thus, applying the Pythagorean Theorem we find out that the two boats are 65 kilometers apart from each other after travelling 39 kilometers north and 52 kilometers east. Thus, 1st option is correct.
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Camelo has 3 less siblings than Benecio has. If camelo has 2 siblings, how many siblings does Benicia has.
Answer:
Benicia has5 siblings
Step-by-step explanation:
2+3=5
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
22. Tad and Timothy went to the paint store together. Tad bought 6 cans of paint
and 1 paint brush for $67. Timothy bought 4 cans of the same paint and 3 of
the same type of paint brushes. Timothy’s total cost was $54.
(Let x represent the cost of a can of paint and y represent the cost of a paint brush.)
a. Solve the system of linear equations using the substitution method.
b. What was the cost for a can of paint?
c. The cost of a paint brush?
Answer:
Can of Paint = $10.50
Paint Brush = $4
Step-by-step explanation:
P and B are paintbrushes and brushes. x and y are the numbers of P and B, respectively.
x y
P B $
Tad 6 1 67
Tim 4 3 54
We can form two equations from the above table:
For Tad: 6x + 1y = 67 [the numbers of paint and brushes times their costs, x and y, is the total Tad paid, $67]
For Tim: 4x + 3y = 54 {Same approach]
We have two equations and two unknowns, so let's rearrange on one of the equations to isolate one of the two variables, and then use that in the other equation. I'll pick the first and rearrange it for y:
6x + 1y = 67
y = 67-6x
Now use this value of y in the second equation:
4x + 3y = 54
4x + 3(67-6x) = 54
4x + 201 -18x = 54
-14x = - 147
x = $10.5 The price of a can of paint is $10.50
Now use this value of x in either equation and solve for y:
6x + 1y = 67
y = 67-6*(10.5)
y = 67-63
y = $4 The price for a brush is $4
===================
See if these values work:
Did Tad pay the correct amount?:
6x + 1y = 67
6($10.5) + 1($4) = $67 ??
$63 + $4 = $67 YES
How about for Timothy?
4x + 3y = 54
4($10.5) + 3($4) = 54?
$42 + $12 = $54
The values are correct.
Find the prime factorisation of each of the following numbers, leaving your answer in index notation..
(e) 117 800
plzz answer quick
Answer:
3x3x13 and 2 x 2 x 2 x 2 x 2 x 5 x 5
Step-by-step explanation:
Please help me with 15 & 16. Step by Step!!!!
15. The length of a rectangle is four times its width. If its width is x^5 units, what is the area of the rectangle?
16. The width of a rectangular prism is six times its length. The height is five times its length. If its length is m units, what is the volume of the prism?
Answer:
15. 4x¹⁰
16. 30m³
Step-by-step explanation:
15. Area of Rectangle is given by A=LW
since W=x⁵ and L is 4 times W, L=4x⁵
therefore, A = x⁵(4x⁵) = 4x¹⁰
16. Volume of Rectangular Prism is V=LWH
W=6L=6m and H=5L=5m and L=m
so V = m(6m)(5m) = 30m³
Use Laplace transforms to solve the following initial value problems.
d2y + 4dy + 13y = u5(t) , y(0) = 0, y′(0) = 1. Find limt→[infinity]y(t). dt2 dt
The initial value problem's solution becomes closer to 0, the problem's limit, as time gets closer to infinity.
1. Determine both sides of the equation's Laplace transform: d2y + 4dy + 13y = u5(t) Y(s) = s2Y(s) + 4sY(s) + 13Y(s) = U5 (s)
2. Rewrite the equation to Y(s) = U5(s) / (s2 + 4s + 13) to find the value of Y(s).
3. Consider the reverse Finding y(t) using the Laplace transform on both sides
y(t) = (1/12)e(-t) + (1/24)sin(3t) + (1/8)cos (3t)
4. As t approaches infinity, determine the limit:
Laplace transformations are used to resolve the initial value issue d2y + 4dy + 13y = u5(t), where y(0) = 0 and y′(0) = 1. Y(s) = s2Y(s) + 4sY(s) + 13Y(s) = U5 is the result of first doing the Laplace transform of both sides of the equation (s). To find Y(s), we rewrite the equation as Y(s) = U5(s) / (s2 + 4s + 13). Then, to get y(t), we use the inverse Laplace transform of both sides: y(t) = (1/24)e(-2t) + (1/12)e(-t) + (1/24)sin(3t) + (1/8)cos (3t). Finally, when t approaches infinity, we compute the limit: limt[infinity]y(t) = 0. As a result, as time gets closer to infinity, the initial value problem's solution gets closer to 0.
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Find the slope of the line that passes through the points (1,-5) and (5. 7).
Answer:
y= 5.7x-10.7
Step-by-step explanation:
the formula is y=mx+b
I need help please ASAP
a skiing instructor charges an initial fee plus $30 per hour for lessons. tasha paid 205$ for six hours of instruction.
Tasha paid an initial fee of $25 plus $30 per hour for six hours of instruction, resulting in a total cost of $205.
Let's assume the initial fee charged by the skiing instructor is represented by 'x' dollars. Since Tasha paid $205 for six hours of instruction, we can set up an equation to represent the total cost:
Total cost = Initial fee + (Hourly rate * Number of hours)
205 = x + (30 * 6)
205 = x + 180
To isolate the initial fee 'x', we subtract 180 from both sides of the equation:
205 - 180 = x
25 = x
Therefore, the initial fee charged by the skiing instructor is $25.
Now, let's calculate the total cost for Tasha's six hours of instruction using this information:
Total cost = Initial fee + (Hourly rate * Number of hours)
Total cost = $25 + (30 * 6)
Total cost = $25 + $180
Total cost = $205
We can see that the calculated total cost matches the amount Tasha paid, confirming the accuracy of the calculation.
To summarize, Tasha paid an initial fee of $25 plus $30 per hour for six hours of instruction, resulting in a total cost of $205. The initial fee covers the fixed cost, while the hourly rate accounts for the variable cost based on the number of hours of instruction received
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Order the values from least (on top) to greatest (on bottom).
64%
0.65
5/8
Convert them all into decimals. Percent is just 0.--, and the fraction you can calculate out which gives: 0.625=5/8,0.64=64%
5/8
64%
0.65
Click to select the figure that would make the following "a reflection in line k."
The figure that would make the following "a reflection in line k." is: A. first figure.
What is a reflection?In Geometry, a reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
Generally speaking, reflections and dilations are types of transformation that preserve angle measure. Additionally, reflection can be used to preserve the direction the vertices (coordinates) that are traced around a geometric figure.
In this context, we can reasonably infer and logically deduce that the first figure is a transformation that would produce a reflection in line k because it preserves the direction of its vertices.
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I need help and please give me an understandable answer because I need to go to bed right now. I used 31 and 40 feet and none of them worked
Answer:
35 feet
Step-by-step explanation:
We'll begin by calculating the resultant for you and your friend.
For you:
R² = 12² + 9²
R² = 144 + 81
R² = 225
Take the square root of both side
R = √225
R = 15 feet
For your friend:
R² = 16² + 12²
R² = 256 + 144
R² = 400
Take the square root of both side
R = √400
R = 20 feet
Finally, we shall determine the distance between you and your friend.
The distance between you and your friend is obtained by adding your resultant and that of your friend together i.e
You resultant = 15 feet
Your friend's resultant = 20 feet
Distance between you and your friend = 15 + 20 = 35 feet.
Therefore, you threw the baseball 35 feet away from your friend.
Find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4.
Answer:
perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4