f(x)= 2x +6 , vertical shrink by a factor of 1/2
Answer:
g(x) = x+3.
Step-by-step explanation:
i hope this helps :D
When a function is shrunk vertically, the function has undergone a form of transformation.
The resulting function when [tex]f(x) = 2x + 6[/tex] vertically shrink by 1/2 is [tex]f'(x) = x + 3[/tex]
Given that:
[tex]f(x) = 2x + 6[/tex]
[tex]k = \frac 12[/tex] --- shrink factor
When a function is shrunk vertically, the rule of transformation is:
[tex](x,y) \to (x,ky)[/tex]
So, we have:
[tex]f'(x) = k f(x)[/tex]
The new function becomes
[tex]f'(x) = \frac 12 \times (2x + 6)[/tex]
[tex]f'(x) = x + 3[/tex]
Hence, when [tex]f(x) = 2x + 6[/tex] is vertically shrunk by 1/2, the new function is [tex]f'(x) = x + 3[/tex]
Read more about transformations at:
https://brainly.com/question/11709244
50% of 50% of x. PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
25. 50 percent of 50 is 25 divided by 2.
Step-by-step explanation:
step1:Our output value is .50.
step2:we represent the unknown value with x
step3: from step1 above,.50=100%
step4: similarly,x=50%
step5: This results in a pair of simple equation:
.50=100%(1)
x=50%(2)
step6:by dividing equation 1 by equation 2 and noting that both the RHS(right hand side)of both equations have the same unite(%);we have
.50. 100%
____. = ____
x. 50%
step7: again,the reciprocal of both sides gives
x. 50
___ =. ___
50. 100
°x=0.25
therefore,50%of.50 is 0.25
Aubrey finished 2/9 of a project on Monday and 1/4 of the project of Tuesday. How much of the project has Aubrey completed?
Answer:
17/36
Step-by-step explanation:
We have to find a common denominator, so the first common denominator for 4 and 9 is 36. 9x4=36, so we multiply 2 by 4, which equals 8. 4x9-36, so we multiply the 1 by 9, and get 9. Then we add the numerators, 8 and 9, and get 17. So it's 17/36
please help asap....
Answer:
(3x-2)(2x+3)
Step-by-step explanation:
Question 1
(n - 3)(2n + 6)
18n2 - 45n + 25
Answer:
36n^4−324n^2−45n+25
Step-by-step explanation:
Can someone please help me with this? Mhanifa? I will mark brainliest
Answer:
Option C 20
GOOD LUCK FOR THE FUTURE! :)
Is the following shape a square? How do you
know?
Answer:
B
Step-by-step explanation:
Answer:
no the sides are not congruent aka B
Step-by-step explanation:
HELP!!! pls with this question !
Answer:
B
Step-by-step explanation:
the graph should start at negative five not four
let f(X)=x^2+2 and g(X)=1-3x
Answer:
1. y = x2+2
2. g = (-3x+1)/x
Step-by-step explanation:
1. No explanation
2.
Let's solve for g.
gx=1−3x
Step 1: Divide both sides by x
gx /x = −(3x+1 )/x
g = (-3x+1)/x
Hope it helped!
-8(5m-7.4)
NEED ASAP
Answer:
-40m = 59.2
Step-by-step explanation:
simplify
Answer:
-40m + 59.2
Step-by-step explanation:
Distribute
-40m + 59.2
If you're solving for m then set the equation equal to 0 and solve.
-40m + 59.2 = 0
-40m = -59.2
m = 37/25
90 out of 120 students like pizza. what percent of students did not like pizza?
Answer:
25%
Step-by-step explanation:
90/120=0.75
1-0.75=0.25
0.25x100= 25%
Expression Name Expression
E 3.8 ⋅ 6.8
F 7 ⋅ 0.5
G –8 ⋅ 4∕7
H 9 ⋅ (–3)
The table above shows four numeric expressions. Which expression is an integer when it's evaluated?
A) E
B) H
C) G
D) F
The expression that will be an integer when it is evaluated is given by:
B) H.
Which expression is always an integer value?When two integers are multiplied, the result is always an integer.
In this problem, expression H has the multiplication of two integers, 9 and -3, hence option B is correct.
The other expressions have rationals involved in the multiplication, hence the result of the expression will be a rational.
More can be learned about expressions and integers at https://brainly.com/question/2973027
#SPJ1
Item 15 Fill in the blank so that the ordered pair is a solution of y=12x+2. ( , 14)
Answer:
(1, 14)
Step-by-step explanation:
If you substitute the 14 in;
14 = 12x+2
-2 -2
12 = 12x
/12 /12
1 = x
The reading levels of a random sample of elementary students are represented by the dot plot.
Which decimal is the best approximation of the mean reading level for this group of students?
Select one:
2.7
1.5
2.3
1.9
0.2(3k+1)=-0.4-(-0.2-0.1K)
Answer:
k=−0.8
Step-by-step explanation:
Start with the equation: 0.2(3k+1)=-0.4-(-0.2-0.1K)
Use distributive property on each side of the equation. For the left side, distribute 0.2 into 3k and 1, and for the right side, distribute -1 into -0.2 and -0.1k. (We use a -1 because the negative sign on the outside of the parenthesis is equivalent to -1)
(0.2)(3k) + (0.2)(1) = 0.6k + 0.2
(-1)(-0.2) + (-1)(-0.1k) = 0.2 + 0.1k
New equation: 0.6k + 0.2 = -0.4 + 0.2 + 0.1k
Now we can combine like terms on the right side. (-0.4 and 0.2)
0.6k + 0.2 = 0.1k - 0.2
Now to get rid of k on one side, we can subtract 0.1k from the right side.
(0.6k - 0.1k) + 0.2 = (0.1k - 0.1k) - 0.2
0.5k + 0.2 = -0.2
Now we need to get 0.5k by itself, so we'll subtract the 0.2 on both sides.
0.5k + (0.2 - 0.2) = (-0.2 - 0.2)
0.5k = -0.4
To get k by itself, we must divide both sides by 0.5.
(0.5k / 0.5) = (-0.4 / 0.5)
k = -0.8
what is the answer to this 5(a+b)-a-b
Answer: 4a + 4b
Step-by-step explanation: distribute the 5 and combine like terms. It would distribute to 5a + 5b -a -b which simplifies to 4a + 4b.
Answer:
4a + 4b
have a great day!!
Rex puts $5,000 in a savings account with a simple
interest rate of 2.5%. How much interest does Rex
carn after 2 year's
Answer:
Rex earns $250 in interest after 2 years.
Step-by-step explanation:
Jocelyn estimates that a piece of wood measures 5.5cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn’s estimate?
Answer:
2.14% error
Step-by-step explanation:
Use the percent error formula:
| (observed - expected) / expected | x 100
Plug in the observed and expected values:
| (observed - expected) / expected | x 100
| (5.5 - 5.62) / 5.62 | x 100
Calculate:
= 2.14% error
So, the percent error of Jocelyn's estimate is 2.14%
Sasha uses 6.1 pints of white paint and blue paint to paint her bedroom walls. 2/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer: 3.66 pints of blue paint.
Step-by-step explanation:
She used 2/5 of the total number of pints to paint white.
That number in pints is:
= 2/5 * 6.1
= 2.44 pints of white
The number of pints used to paint blue is therefore:
= 6.1 - 2.44
= 3.66 pints of blue paint.
A price used to be £40, but is now £50.
What is the percentage increase?
Answer:
25%
Step-by-step explanation:
MP= 40
SP= 50
Change(increase) = 10
Change (increase) precentage = 10 / 40 x 100 = 25%
I hope im right!!
Answer:
25 percent
Step-by-step explanation:
£40 is the old price and £50 is the new price. In this case we have a positive change (increase) of 25 percent because the new value is greater than the old price.
Hope it helps
Please mark me as the brainliest
Thank you
Alyssa had 191 dollars to spend on 6 books. after buying them she had 17 dollars. how much did each book cost?
Answer:
29$
Step-by-step explanation:
191-17=174
174/6=29
Answer:
$29
Step-by-step explanation:
a TV reduced by 30% to £560. What was the original cost of the TV?
Answer:
£800
Step-by-step explanation:
when you recuce the price of something by 30%, it is 70% of the original (100% minus whatever percent reduction).
.7x=560 where x is the original price of the tv
560/.7=800
the original price of the tv is £800
Please help and please show your work i need to know how to do this please I beg
Answer:
so first do the top one so that would be 7*2 which is 14
and then the bottom which is 5*12 so that would be 60.
60+14 is 74!! 74sq in!
Step-by-step explanation:
calcule o valor x na equação do 1° grau: 16x-21=x+9
Answer:
16x-21=x+9
15x=30
x=2
eu acho que e nao sei mais o outro cara respondeu ali
Step-by-step explanation:
1
1 point
How many square meters of carpet are needed to cover the
hallway and living room?
6 m
3.2 m
4.2 man
Living
Room
1.5 m
Hallway
Answer:
30m squared carpet is needed to cover the hallway and the living room.
Step-by-step explanation:
Living room area
6 × 4.2 = 25.2
Hallway area
3.2 × 1.5 = 4.8
Total area
25.2 + 4.8 = 30m squared
Evaluate 10f+⅔(4d+7)-8
Answer:
9.3 simplified should be 3 if this isn't the answer then I don't know what is anymore because I just wasted my time if its wrong ;-;
Step-by-step explanation:
also I cant put the explanation sorry it says it has a link or inappropriate words in it when it doesn't.
9.3 divided by 3 is 3 so sense that isn't a fraction or anything i guess 3 is the answer in not to sure-
Answer:
8/3d +10f +-10/3
Step-by-step explanation:
can someone show me step by step on how to get the answer?
I'm confused with that too, have you researched your answer?
Solve 2x + 20 = 6x – 12*
Answer:
x = 8
Step-by-step explanation:
Given
2x + 20 = 6x - 12 ( subtract 2x from both sides )
20 = 4x - 12 ( add 12 to both sides )
32 = 4x ( divide both sides by 4 )
8 = x
=> 2x + 20 = 6x - 12
=> 20 + 12 = 6x - 2x
=> 32 = 4x
=> x =32/4
=> x = 8Jennifer gets a salary of $12000 while David gets $8400 more per month. What is the ratio of the salaries of Jennifer and David?
A.10 : 7
B.7 : 10
C.9 : 6
D.12 : 7
What is the name of the circle that has radius ?
A
B
C