Answer:
The correct options are;
3) f(1/2·x)
5) f(2/3·x)
Step-by-step explanation:
The given parameter is presented here as follows;
f(x) = x
Therefore;
f(x) = y = x
Comparing with the general equation for a straight line, y = m·x + c, we have;
For y = x, m = 1
∴ The slope = 1
1) For f(3/2·x) = y = 3/2·x, the slope, m = 3/2 which is a steeper slope than m=1 and therefore a has more increase in y than in x values or has a vertical stretch rather than a horizontal stretch
2) For f(x + 2) = y = x + 2, the slope, m = 1 which gives an equal slope of m = 1 to the slope in the question, f(x) = x, resulting in no change in stretch
3) For f(1/2·x) = y = 1/2·x, the slope, m = 1/2 which is a gentler slope slope than m=1 as y increase half unit, for each unit increase in x and the function is horizontally stretched
4) For f(x - 3/2) = y = x - 3/2, the slope, m = 1 which gives an equal slope of m = 1 to the slope in the question, f(x) = x, resulting in no change in stretch
5) For f(2/3·x) = y = 2/3·x, the slope, m = 2/3 which is a gentler slope slope than m = 1 as y increase 2/3 unit, for each unit increase in x and the function is horizontally stretched.
Answer:
C, F
Step-by-step explanation:
i took the questions
Cookies are sold in the lunchroom for $1.50. Ana wants to buy cookies for a
group of her friends. If she has $20, which inequality can be solved to show the
Solve
3x - (x - 4) = 18
Answer:
7
Step-by-step explanation:
Distribute
3x-x+4=18
Combine like terms
2x+4=18
Subtract 4 on both sides
2x=14
Divide 2 on both sides
X=7
Answer:
x = 7
Step-by-step explanation:
3x - (x - 4) = 18 =
3x - x + 4 = 18 =
2x + 4 = 18 =
2x + 4 - 4 = 18 - 4
2x = 14
x = 7
It took a pet store 7 weeks to sell 56 cats. What is the rate sold per week?
Answer:
About 8 cats were sold a week, so the rate sold per week: 8 ^‿^
Which list correctly orders A, B, and C from least to greatest when A= -8, B = 1-8), and C = 111?
A, B, C
C,AB
B, A, C
CBA
Answer:
A, B, C
Hope this helps
5.6+ 2.2x> 65.6- 1.8x show you work
Answer:
No
Step-by-step explanation:
cuz i dont feel like it thx for pts
The solution to the inequality 5.6 + 2.2x > 65.6 - 1.8x is x > 15.
What is the solution to the inequality?Given the inequality in the question:
5.6 + 2.2x > 65.6 - 1.8x
To solve the inequality 5.6 + 2.2x > 65.6 - 1.8, first, collect and combine the like terms on both sides of the inequality:
5.6 + 2.2x > 65.6 - 1.8x
Add 1.8x to both sides:
5.6 + 2.2x + 1.8x > 65.6 - 1.8x + 1.8x
5.6 + 2.2x + 1.8x > 65.6
5.6 + 4x > 65.6
Subtract 5.6 from both sides of the inequality:
5.6 - 5.6 + 4x > 65.6 - 5.6
4x > 60
Divide both sides by 4 to isolate the variable x:
x > 60/4
x > 15
Therefore, x is greater than 15.
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Billy and Tommy went to the movies. They are going to combine their money for snacks. Popcorn costs $8 and a box of candy costs $1.50 each. They each want their own popcorn. They spent the rest of the money on candy. If the total cost was $25.00, how many boxes of candy did they buy? Create a algebraic equation and solve for the number of candy boxes.
Answer:
6 candy boxes
Step-by-step explanation:
Since they both bought their own popcorn that means they both spent $8 on popcorn making that a total of $16. Therefore we now only need to find one variable which is the number of candy boxes that they bought in order to reach the $25 total that they spent. This variable can be represented as x in the following algebraic equation.
(2*8) + 1.50x = 25
16 + 1.50x = 25 ... subtract 16 from both sides
1.50x = 9 ... divide both sides by 1.50
x = 6
Finally, we can see that Billy and Tommy bought a total of 6 candy boxes.
A grocery store owner is planning a display by stacking cans of soup in a pyramid. The top row of the stack will have 1 can, the row underneath it will have 3 cans, the row underneath it will have 5 cans, and so on. If the owner wants the display to have a total of 12 rows, then how many cans will he need? Show your work. Explain how you know your answer is correct.
Answer:
144 cans
Step-by-step explanation:
Number of cans in the top row = 1
Number of cans in the second row = 3
Number of cans in the third row = 5
Here, the sequence obtained is [tex]1,3,5,...[/tex]
This forms an arithmetic progression with common difference as [tex]3-1=5-3=2[/tex]
Let d denotes the common difference and n denotes number of terms.
[tex]S_n=\frac{n}{2}[2a+(n-1)d][/tex]
Here, [tex]S_n[/tex] denotes sum of n terms.
Put [tex]a=1,d=2,n=12[/tex]
[tex]S_{12}=\frac{12}{2}[2(1)+(12-1)2]\\=6[2+(11)2]\\=6(2+22)\\=6(24)\\=144[/tex]
Haley got a 93% on her first math test and an 86% on her second test. What is her percent decrease from Test 1 to Test 2 to the nearest tenth?
Enter the correct answer in the box.
Answer:
7.5?
Step-by-step explanation:
Guessing!!! hope it's correct,
Because
Percent Decrease = Percentage Decrease=Starting Value−Final Value|Starting Value|×100
If Haley got a 93% on her first math test and an 86% on her second test. Her percent decrease from Test 1 to Test 2 to the nearest tenth will be 7.5%
Using this formula
Percentage Decrease=Starting percentage−Final percentage÷ Starting percentage×100
Where:
Starting percentage=93%
Final percentage=86%
Let plug in the formula
Percentage Decrease=93%-86%÷93%×100
Percentage Decrease=7%÷86%×100
Percentage Decrease=7.5%
Inconclusion if Haley got a 93% on her first math test and an 86% on her second test. Her percent decrease from Test 1 to Test 2 to the nearest tenth will be 7.5%
Learn more here:
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Help!
Solve the following proportion for u.
u 5
— = —
10 11
Round your answer to the nearest tenth.
u = ___
Will mark as brainliest if you help out (:
Kim drove from Mathtown at (-2, 5) to Geometryville at (3, -1) to Algebra Springs at (-6, -5), and then back to Mathtown. Find the total distance Kim traveled to the nearest hundredth.
Answer:
Option (3)
Step-by-step explanation:
To solve this question we will use the formula,
Distance (d) between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between Mathtown (-2, 5) to Geometryville (3, -1)
[tex]d_1=\sqrt{(3+2)^2+(-1-5)^2}[/tex]
[tex]=\sqrt{25+36}[/tex]
[tex]=\sqrt{61}[/tex]
[tex]=7.81[/tex]
Distance between Geometryville (3, -1) and Algebra Springs (-6, -5)
[tex]d_2=\sqrt{(3+6)^2+(-1+5)^2}[/tex]
[tex]=\sqrt{81+16}[/tex]
[tex]=\sqrt{97}[/tex]
[tex]=9.85[/tex]
Distance between Algebra Springs (-6, -5) and Mathtown (-2, 5)
[tex]d_3=\sqrt{(6-2)^2+(5+5)^2}[/tex]
[tex]=\sqrt{16+100}[/tex]
[tex]=\sqrt{116}[/tex]
[tex]=10.77[/tex]
Now total distance traveled by Kim = [tex]d_1+d_2+d_3[/tex]
= 7.81 + 9.85 + 10.77
= 28.43
Therefore, Option (3) will be the answer.
On a test of 80 problems, Bill got 75% of the problems correct.
How many did he get correct?
A. 75
B. 60
C. 50
D. 40
E. 30
Answer:
60 problems correct so b is correct
Write an equation for the parabola that passes through (-2, 7) , (1, 10) , and (2, 27) .
Answer:y=4x^2+5x+1
Step-by-step explanation:
Just did the quiz on big ideas math
The equation of the parabola which passes through the points (-2, 7) , (1, 10) , and (2, 27) is y = (25/6)x² -(17/6)b + (1/3)c.
What is a parabola?A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.
We know equation of a parabola is y = ax² + bx + c.
Given are three points (-2, 7) , (1, 10) , and (2, 27).
If these points lie on the parabola it must verify that [tex]y_o = ax^2_o + bx_o + c.[/tex]
Therefore,
7 = a(-2)² + b(-2) + c = 0
7 = 4a - 2b + c ...(i)
10 = a(1)² + b(1) + c = 0
10 = a + b + c ...(ii)
27 = a(2)² + b(2) + c
27 = 4a + 2b + c...(iii)
Now adding eqn(i) and eqn(ii) we get 8a + 2c = 34...(iv)
Now multiplying eq(ii) by 2 and adding it to eq(i) we get 6a + 3c = 27...(v).
Now multiplying eqn(iv) by 3 and (v) by 2 and subtracting them we get a = 25/6.
Putting the value of an in eqn(iv) we get c = 1/3.
Similarly substituting the value of a and c in eqn(ii) we get b = -17/6.
∴ The equation of the parabola is y = (25/6)x² -(17/6)b + (1/3)c.
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Multiply 6/13 and 7/22 in simplest form
Answer:
21/143
Step-by-step explanation:
If it was simplified into a decimal it would be .146853
Describe the process you used to find the equation of a line through two
points. Have you learned any tricks or shortcuts when doing this? Explain
if you have.
Answer:
Explanation at the bottom
Step-by-step explanation:
To find the slope with the 2 points use this ---> [tex]\frac{y2 - y1}{x2 - x1}[/tex] Ex: Points (9, 3) (6, 12) --> write it this way [tex]\frac{12 - 3}{6 - 9}[/tex] = [tex]\frac{9}{-3}[/tex] = -3 so -3 would be the slope of that line.
Then to find the y- intercept use the slope and the numbers from one of the points like this ----> y = mx + b we are looking for b.
(plugging in the first point) (using the point (9,3))
3 = -3(9) + b
3 = -27 + b (add 27 on both sides)
30 = b (that's your y- intercept)
(Full equation is)
y = -3x + 30
If you need further explanation just comment!!
m22 is (31x - 4)º and m27 is (29x + 4).
a
1 2
34
56
7 8
What is m 23?
Answer:
120
Step-by-step explanation:
31x-4 = 29x+4
2x=8
x=4
31(4)-4 = 120
What is the midpoint of -5.8 and -3.5 on a number line??!
Answer:
-4.65
Step-by-step explanation:
5.8-3.5=2.3
2.3 divided by 2=1.15
3.5+1.15=4.65
Answer: -4.65
slope intercept of (1,1) and (0,7)
Answer:
[tex]\boxed {m = -6}[/tex]
Step-by-step explanation:
Use the Slope Formula to help you determine the slope of the following two points:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(Where [tex](x_{1}, y_{1})[/tex] is the first point and [tex](x_{2}, y_{2})[/tex] is the second point)
-Apply both points onto that formula:
[tex](x_{1}, y_{1}) = (1, 1)[/tex]
[tex](x_{2}, y_{2}) = (0, 7)[/tex]
[tex]m = \frac{7 - 1}{0 - 1}[/tex]
-Solve:
[tex]m = \frac{7 - 1}{0 - 1}[/tex]
[tex]m = \frac{6}{-1}[/tex]
[tex]\boxed {m = -6}[/tex]
A map scale reads: 2 inches = 25 miles. Which distance does 6 inches represent? 200 miles 75 miles 150 miles 100 miles Bene
Answer:
75 miles
Step-by-step explanation:
2x3=6
so you multiply 25x3 which will give you 75
Find the distance between
4 + 3i
and
6 – 2i
Answer:
The distance is 5i
Step-by-step explanation:
Subtract the six and the four then find the distance between the numbers paired with the variables.
Find the least number which must be added to 1272 to make it a perfect
square. Also find its square root.
Step-by-step explanation:
Adding 24 to 1272?
becomes 1296
36^2 = 1296
its square root's 36.
hope its correct^^
Round 169,750 to the nearest hundred thousand
Answer:
200,000
Step-by-step explanation:
What is 941 divided by 24
Find the equation of the linear function represented by the table below in slope-
intercept form.
x
o
1
2
3
4
y
8
16
24
32 40
Answer: y =
Submit Answer
Answer:(5,48)
Step-by-step explanation:
The larger of two numbers is twelve more than the twice smaller number. The sum of the numbers is 42. Find the two numbers . Please set up a , set up the equation , and then solve the equation .
Answer:
The smaller number: a = 10
The larger number is 32
Step-by-step explanation:
a - the smaller number
2a - twice the smaller number
2a+12 - twelve more than the twice smaller number (the larger number)
a + 2a+12 - the sum of the numbers
a + 2a+12 = 42
-12 -12
3a = 30
÷3 ÷3
a = 10
2a+12 = 2×10+12 = 20+12 = 32
Check: 10+32=42
a sequence of transformations maps angleABC to A'B'C'. the sequence of transformations that maps ABC to A'B'C' is a reflection across the ____ followed by a transformation ____
first drop down
y-axis
x-axis
line y=x
line y=-x
second drop down
4 units to the right and 10 units up
8 units to the right and 4 units up
10 units to the right and 2 units up
10 units to the right and 4 units up
Help me please ..........
Answer:
The answer is that angle T is 41 degrees.
Step-by-step explanation:
Line USP is a 180 angle. Knowing this, you can subtract 104 from 180.
You get 76. Then, you add 76 to 63.
The sum is 139. Then, to find the answer, you subtract 139 from 180. You know to use 180 because EVERY TRIANGLE'S ANGLES always add up to 180.
180 minus 139 is 41. This is your answer: Angle T is 41 degrees in measure.
What is the equation of a line that is parallel to the y-axis and goes through the point (6,-1) Plsss help
i need help with this question, im just confused
Answer:
See below
Step-by-step explanation:
Given triangle JKL
The Δ JKL is isoscelesSegment MK is bisector of angle JKLa) Perpendicular segments are
KM and JLb) Equal angles are
∠KJL = ∠KLJ∠JKM = ∠LKM∠JMK = ∠LMK = 90°In solving an equation, if you eliminate the variable and obtain a true statement such as 6 = 6, the equation is a/an
equation.
Answer:
butt
Step-by-step explanation:
hahahaha hahahaha
Games at the carnival cost $4 each. The prizes awarded to winners cost $175.50. How many games must be played to make at least $60? Write, solve and graph the inequality.
Answer:
15
Step-by-step explanation: