The first four terms of an arithmetic sequence are given.
27,32,37,42,...
What is the 60th term of the sequence?
Select the correct answer.
if g(x) = f(1/3x) which statement is true?
OA. The graph of function fis stretched vertically by a scale factor of 3 to create the graph of function g.
ОВ. The graph of function fis stretched horizontally by a scale factor of 3 to create the graph of function g.
oc. The graph of function fis compressed horizontally by a scale factor of 1/3 to create the graph of function g.
Od. The graph of function fis compressed vertically by a scale factor of 1/3 to create the graph of function g.
Answer:
D
Step-by-step explanation:
It says that f(1/3x)=g(x), so scale factor is 1/3 and it is across the y axis because f(x) is basically y.
The correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Let us take the function g(x) as f(1/3 x).
This means that g(x) takes the value of f at 1/3 of x's value.
If f(2) = 4, then g(6) = f(1/3×6) = f(2) = 4.
When we replace x with 3x, we are compressing the graph of f horizontally by a factor of 1/3.
This is because every point on the graph of f now has 1/3 of its original x-coordinate.
The point (2, 4) was on the graph of f, it is now on the graph of g as (6, 4).
The scale factor is less than 1 because we are compressing the graph horizontally, which means the x-values are getting smaller.
Therefore, the correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.
To learn more on Graph click:
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What is the slope of the line that passes through the points (8, 2) and (9,3)? Write
your answer in simplest form.
Answer:
Well to calculate slope you just do
y2-y1/ X2-x1
In this case
9-8/3-2
Which is 1/1
THe slope is 1
Answer:
1
Step-by-step explanation:
The slope is going to be the ratio between the difference of y coordinates, and the difference in x coordinates.
[tex]m= \frac{\Delta y}{\Delta x} = \frac{3-2}{9-8} = \frac11 = 1[/tex]
Write equations for the horizontal and vertical lines passing through the point (-4,2)
Answer:
y=2
x=-4
hope this helps!
Bridget has swimming lessons every fifth day and diving lessons every third day. If she had a swimming lesson and a diving lesson today, how many days will be till the next date on which she has both swimming and diving lessons?
Answer:
15 days
Step-by-step explanation:
Take LCM of 3 and 5 and u get your answer
Please help thankssssss
[tex]0,2a^{2}b^3 . (-5a^3b)^2 = 0,2a^{2}b^3 . 25a^6b^2 = 5a^8 b^5[/tex]
ok done. Thank to me :>
What is the base of 5^4?
Answer:
5 is the base
4 is the exponent
Zidan is using the Rational Root Theorem to help find the roots of a 5th degree polynomial. He has discovered five roots and still has 4 to test. What is his next best step?
1-He should test the remaining 4 roots.
2-He should use the Factor Theorem to find the remaining polynomial roots.
3-He needs to pick one of the roots and use the quadratic formula to test it.
4-He can stop testing because he has found all the roots.
Answer:
He can stop testing because he has found all the roots.
Step-by-step explanation:
I took the test and it said I got it right. Hope this helps!
ssion 4 x (20 – 1) if a = 3?
What the answer?
Answer:
20Step-by-step explanation:
Question:4 × (2a - 1)
Given value:a = 3
Solution:4 × (2a - 1)
= 4 × (2(3) - 1) [Substituting the value of a=3]
= 4 × (6 - 1) [Simplification]
= 4 × 5 [On further simplification]
= 20
Hence, 20 is the required answer.
Answer:
20
Step-by-step explanation:
a = 3
4 × (2a - 1) =
= 4 × (2 × 3 - 1)
= 4 × (6 - 1)
= 4 × 5
= 20
8
-8
4
4
-8
The dotted figure is a dilation of the solid figure. What is the scale factor?
Can someone please help meeee!!!!
Answer:
1/2
Step-by-step explanation:
in the below figure point A is (8,-4)
and shifted A is (4, -2)
it is half of original
for B (4,4) ---> (2,2)
for C (-4,4) ----> (-2,2)
so scale factor is 1/2
solve pls brainliest
Answer:5868<9845<91387<969156
Step-by-step explanation:
helppp yalll my mind is closed
Answer:
16
Step-by-step explanation:
(Trust me)
can someone help with this question
Answer:
<1= 60
<2=120
<3=60
<4=60
<5=120
<6=120
<7=60
Step-by-step explanation:
What is the range of this relation?
(8,-9)
(5, -3)
(-4, 6)
(-3, -2)
(6,8)
(8,6)
Answer:
Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
Step-by-step explanation:
{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}
The domain is the input and the range is the output
domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}
We put the numbers in order from smallest to largest
Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
Answer:
(-9,-3,6,-2,8,6) is the answer as the range is always the "second pair" of numbers in any relation.
Solve the system of equations by substitution.
3x + y = 9z
-5x + 2y = -4z
What is the value for y from the first equation, that could be substituted into the second equation?
-9z + 3x
3z + 9x
9z - 3x
-3x - 9z
Answer:
x = 1.27
y = 5.18
Step-by-step explanation:
to solve this system of equation by simultaneous equation we say that let
3x+y=9.............................. equation 1
-5x+2y=4 .......................... equation 2
from equation 1
3x+y=9.............................. equation 1
y = 9 -3x.............................. equation 3
substitute the value of y = 9 -3x into equation 2
-5x+2y=4 .......................... equation 2
-5x + 2( 9 -3x) = 4
-5x + 18 - 6x = 4
collect the like terms
18 - 4 = 6x + 5x
14 = 11x
divide both side by 11
14/11 = 11x/11
x = 14/11
x = 1.27
put the value of x = 1.27 into equation 3
y = 9 -3x.............................. equation 3
y = 9 - 3( 1.27)
y = 9 - 3.82
y = 5.18
to check if you are correct put the value of x and y into either equation 1 or equation 2.
3x+y=9.............................. equation 1
3( 1.27) + 5.18 = 9
3.81 + 5.18 = 9
9 = 9
If 5mi ≈ 8km, how many miles would be equal to 50 km
Answer:
Too tired to go into detail so I just showed steps
Step-by-step explanation:
5mi = 8km ~~ Original
5/8mi = 1km ~~ Get 1km isolated
250/8mi = 50km ~~ Get 50km now
Hey, do you know what 1+1+*6*6*8*7*1 is?
Answer:
it should be 2017 1+1*6*6*8*7*1
help with this please! :)
Answer:
w x 7 + 6 x 7
Step-by-step explanation:
Advice: Please make sure you cut out your tabs and your personal information while asking questions. I can easily see on the screenshot that your name is Isabella Fletcher.
Which TWO systems of linear equations are solved correctly?
The detailed answer is in the images I have attached.
Hope it helps you...
Kindly mark as Brainlliest!!!
Joshua gave away 1/3 of his marbles to Kale.If Kale got 25 marbles,how many marbles did Joshua have at first?
Answer:
75
Step-by-step explanation:
joshua - x
kale - 1/3x
1/3x = 25
x = 25(3)
x = 75
How would I find the lower left interior angle of a triangle whose lower right interior angle is 60 and the exterior angle is x?
How would I find the lower left interior angle of a triangle whose lower right interior angle is 60 and the exterior angle is x?
A recent tornado damaged Jack's house and left it a little distorted. A question on the insurance form asked, "What shape is the house in?" Jack replied, "An irregular convex pentagon. The sum of the measures of the Interior angles of the 5-sided house is 540 find the Value x
Answer:
45
Step-by-step explanation:
2x+2x+2x+3x+3x=540(sum of angels in a five sided polygon)
12x=540
x=45
Help?????????????????
Answer:
the first option is the answer
Step-by-step explanation:
Alex got 9 hits in his first 22 at bats. If his hitting rate remains constant, how many at bats would he have to have to reach 50 hits
Answer:
122.2222 repeating
Step-by-step explanation:
What is the first step to solve the following equation:
n/8 = 7
Answer:
n = 56
Step-by-step explanation:
[tex]\frac{n}{8}[/tex] = 7
The first step is to multiply both sides by 8 to clear the fraction
n = 7 × 8 = 56
Please help I've never been more confused
Step-by-step explanation:
2.
Two pairs of corresponding angles
i. angle C angle D
ii. angle G angle F
Two pairs of alternate angles
i. angle B angle D
ii. angle H angle F
Two pairs of interior angles
i. angle C angle H
ii. angle D angle E
Find x. Isosceles triangle theorems.
Answer:
x = 70°Step-by-step explanation:
If two sides of a triangle are congruent, then angles opposite those sides are congruent.
the sum of the interior angles in a triangle is 180°
(180 - 40) : 2 =
70
x = 70°
----------------------------
check
70 + 70 + 40 = 180°
the answer is good
PLEASE HELPPP!!!
The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. By how many seconds did his time improve from
Attempt 3 to Attempt 7? Do not include units in your answer.
Answer:
24
Step-by-step explanation:
Im not sure by 64-40=24?
Can anyone help me with this?
Answer:
A & C are correct.
Step-by-step explanation:
Yes, I can help!
Absolute value makes any number positive.
12 < 50 (yes)
12 < 50 (yes)
12 > 50 (no)
12 > 50 (no)
You are welcome!
Kayden Kohl
8th Grade Student
A machine paints 340 toy boats in 45 minutes. Which expression equals the unit rate per minute?
Answer:
7.55556 toy boats per minute
or
340 = 45x
Step-by-step explanation:
340 = 45x
340/45 = 45x/45
7.55556 = x
7.55556 toy boats per minute