Given:
g(x) vertical shift of [tex]f(x)=-x[/tex] up 3 units followed by a vertical stretch by a factor of 4.
To find:
The rule for g(x).
Solution:
We have,
[tex]f(x)=-x[/tex]
This function shifts 3 units up. So,
[tex]f(x)+3=-x+3[/tex]
This function vertical stretch by a factor of 4. So,
[tex]g(x)=4(f(x)+3)[/tex]
[tex]g(x)=4(-x+3)[/tex]
[tex]g(x)=-4x+12[/tex]
Therefore, the rule for g(x) is [tex]g(x)=-4x+12[/tex].
A band expects to put 16 songs on their next CD. The band writes and records 75% more songs than they expect to put on the CD. During the editing process, 75% of the songs are removed. How many songs will there be on the final CD?
do this step by step.
16 X 1.75
- since there is 75% more.
= 28 songs --> in total.
28 X 0.25
-- since 75% are removed.
= 7
final answer: 7 songs.
What is the image of (- 10, - 6) after a dilation by a scale factor of centered at the 1/2 origin?
Answer:(-5,3)
Step-by-step explanation:
Answer:
the answer is (5,3)
Step-by-step explanation:
because I did this question already
A circle has a diameter of 10 inches. What is the circumference of the circle? (Write an exact answer using Pi)
Answer:
31.42 in
Step-by-step explanation:
C=πd=π·10≈31.41593in
Pemba is 5 yrs older than her sister.If the sum of their ages is 35 yrs, find their ages
Answer:
Pemba is 20 and her sister 15
Step-by-step explanation:
Let the sisters age be x. As pemba is five years older, her age is x+5.
Now, the sum of their ages is 135. So, by combining the two ages we get:
=>X+(x+5)=35
x+x+5=30
2x=30
x = 15
Then, substitituing this value of x into our equations for the ages of the sisters we get
sisters age 15 years old
Pemba age (15)+5=20 years old
Translate the sentence into an inequality. The sum of 6 and y is greater than or equal to -23.
Answer:
6+y [tex]\geq[/tex] -23
Step-by-step explanation:
Just write it out.
The length of a rectangle is 4 cm longer than the width, The perimeter is 80 cm. Find the length and the width. Substition Method, Elimanation Method.
Answer: Length = l
Width = w
2l + 2w = 80cm
l+w = 40cm
l = w+4
w+4 + w = 40cm
2w + 4 = 40cm
2w = 36cm
w = 18cm
l = 22cm
jd3sp4o0
Step-by-step explanation:
Answer:
L = 22, W= 18
Step-by-step explanation:
You can use an equation to solve this. Since the length is 4 more than the width, you can use L = W + 4. (L = Length, W = Width). I personally like to draw a diagram to figure out the total sides. We can add up all the sides, using our equations and adding common factors. We know the perimeter is 80 cm, so we can equal it to this. Solve for W. And finally subsitute for L.
What is the solution to 4x - 3(x + 2) = -13?
Answer:
x=-7
Step-by-step explanation:
Alice ran 5 laps around a track. She ran a total distance of 3.65 kilometers. Jim ran 20 laps around the same track. What is the total distance Jim ran?
Answer:
14.6 km
Step-by-step explanation:
One day an e-mail is sent to 7 people. That day each person who receives the e-mail sends the email to two friends. Each friend who receives the email sends it to two more people on the following day
On the second day 28 people will have received the email.
Exponential functionsTo determine the expression that graphs this situation and determine the number of people who will have received the e-mail, the following calculation must be made:
X = Number of days the email is forwarded.7 x 2^X = People who would have received the e-mail.Thus, if the email is forwarded two days in a row, this formula operates as follows:
7x2^2 = X7 x 4 = X28 = XTherefore, on the second day 28 people will have received the email.
Learn more about exponential functions in https://brainly.com/question/15352175
18 cookies cost $9.90. How many cookies can you buy for $3.85?
Answer:
7 cookies
Step-by-step explanation:
9.90/18 is 0.55, so each cookie is 55 cents. 3.85/0.55 is 7, so you can buy 7 cookies.
Mili has 10 pink bows, 5 green bows,and 6 yellow bows in a container. She randomly chose 1 bow from the container
What is the probability Mili will choose a purple bow?
please answer this asap
Answer:
0/21 or 0%
Step-by-step explanation:
There are no purple bows and 21 other bows.
Answer:
0/21 or 0%
Step-by-step explanation:
In the fig. AD = DC and AB = BC. Prove that triangle ABD = triangle CDB
Statement | Reason
AD = DC | given
AB = CB | given
BD = DB | reflexive property
ABD = CDB | side-side-side congruency theorem
7x + 5y - X + 2y + 3x
Answer:
9x+7y
Step-by-step explanation:
please see the image that I have attached
Hey there!
The simplified expression is 3x + 7y
To simplify this, we must add like terms. We can use the Commutative Property of addition to move the like terms together:
7x - x + 3x + 5y + 2y
Now, we can use the Associative Property to group the numbers:
(7x - x + 3x) + (5y +2y)
Now, we add the terms in the parentheses:
3x + 7y
Hope it helps and have a great day!!!
What is the mode of the data set shown below?
A. 8
B. 10
C. 13
D. 15
Answer:
15 (D)
Step-by-step explanation:
There are 3 15s
it comes up the most
Answer:
D. 1515 is the mode of the data set shown below.Explanation:
15 is the mode because it is shown many times.
Solve the equation:
4y2 + 7 = 19
(write your answer in exact form)
Answer:
y2=3
Step-by-step explanation:
4y2+7=19
Subtract 7 from both sides.
4y 2 =19−7
Subtract 7 from 19 to get 12.
4y2=12
Divide both sides by 4.
y2= 12/4
Divide 12 by 4 to get 3.
y2=3
Answer:
4y2 + 7 = 19
Step-by-step explanation:
4y2 =19-7
4y2=12
4yx2=12
8y=12
dbs by 8
y=1.5 or 2
the value of the 3 in 657.23 is ... the value of 3 in 24.378
Answer:
1000
Step-by-step explanation:
at first kai earned a score of 80 on a quiz . he discovered that 5 has been taken off by mistake kai showed the teacher
Answer:
So then it was a Score of 85
Step-by-step explanation:
What is the equation in point-slope form of the line that passes through the point (-5, 6) and has a slope of 2/3
Answer:
y - 6 = ²/₃(x + 5)Step-by-step explanation:
The point-slope form of the equation of a line: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.
m = ²/₃
(-5, 6) ⇒ x₁ = -5, y₁ = 6
So the point-slope form of the equation:
y - 6 = ²/₃(x - (-5))
or: y - 6 = ²/₃(x + 5)
Which algebraic expression below represents four multiplied by a number?
A. 4 – x
B. x + 4
C. 4x
D.
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Is it A or C? I'm sorry, I'm not really smart-
Answer:
A i think im 98% sure
Step-by-step explanation:
If f(x) = 3 x 2 + 5, what is f (-3)?
-3 + 42 > 3
x > 15
x < 15
x > 13
x < 13
Answer:
Where's the x?
I am assuming that the problem must be
-3 + 42 > 3x
if that is true, then
x < 13.
As this statement is, -3 + 42 > 3 is a true statement because -3 + 42 = 39, and
39 > 3 [39 is always greater than 3]
Step-by-step explanation:
Let me know if you need a step by step.
Answer:
D) x < -15
Step-by-step explanation:
-3x - 42 >3
Add 42 to each side
-3x - 42+42 >3+42
-3x > 45
Divide each side by -3. Remember to flip the inequality since we are dividing by a negative
-3x/-3 < 45/-3
x < -15
not really sure how you want this solved but the equation itself is true
solve this question: 2x+5is less than or equal to 3x+1,xeN.Want full working please
Answer: 4 ≥ x
Step-by-step explanation:
We want to solve the inequality
2*x + 5 ≥ 3*x + 1
We can solve it in the same way as a normal equation, we need to isolate x in one side of the equation.
I will isolate x in the right side.
2*x + 5 ≥ 3*x + 1
First, we subtract 2*x in both sides:
(2*x + 5) - 2*x ≥ 3*x + 1 - 2*x
5 ≥ x + 1
Now we subtract 1 in both sides:
5 - 1 ≥ x + 1 - 1
4 ≥ x
1
Line l is parallel to line m. Which list shows accurate angle
relationships?
3/4
m
5/6
8
A Z1 Z2 and 23* 27
B Z1 Z3 and 24% 26
C 21% 25 and 2228
D 21 25 and 22 € 26
The accurate angle relationships are (b) <1 = <3 and <4 = <6
When a transversal cuts through parallel lines, it forms pairs of congruent angles that are related by several relationships.
From the parallel lines l and m, we have the following angles:
Angle 1 = Angle 3
Angle 4 = Angle 6
Hence, the accurate angle relationships are (b) <1 = <3 and <4 = <6
Read more about parallel lines at:
https://brainly.com/question/24607467
In the xy-plane, a circle with center at point (6,-8) has a radius of 20 units. If the radius of the circle is halved, which of the following points will NOT be inside the circle?
A) (-1/20 , 0)
B) (1/20 , 0)
C) (-1/10 , -6)
D) (8 , 10)
There is a circle with the center [tex](6,-8)[/tex] and radius = [tex]20[/tex] units
We have to find whether the points given in the options will not lie inside the circle if the radius of the circle is halved.
"If a point lies inside the circle, distance between the center and the given point will be less than the radius of the circle".
To find the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
If a point lies inside the circle with radius 10 units, distance between the point and the center will be less than 10 units.
Option A
Distance between the points [tex](-\frac{1}{20},0)[/tex] and [tex](6, -8)[/tex]
= [tex]\sqrt{(6+\frac{1}{20})^2+(-8-0)^2}[/tex]
= [tex]\sqrt{100.6025}[/tex]
= [tex]10.03[/tex] units
Since, [tex]10.03>10[/tex] units
Therefore, [tex](-\frac{1}{20},0)[/tex] will lie outside the circle.
Option B
Distance between [tex](\frac{1}{20},0)[/tex] and [tex](6,-8)[/tex] = [tex]\sqrt{(6-\frac{1}{20})^2+(-8-0)^2}[/tex]
= [tex]\sqrt{99.4025}[/tex]
= [tex]9.97[/tex] units
Since, [tex]9.97<10[/tex] units
Therefore, [tex](\frac{1}{20},0)[/tex] will lie inside the circle.
Option C
Distance between [tex](-\frac{1}{10},-6)[/tex] and [tex](6,-8)[/tex] = [tex]\sqrt{(6+\frac{1}{10})^2+(-6+8)^2}[/tex]
= [tex]\sqrt{41.21}[/tex]
= [tex]6.42[/tex] units
Since, [tex]6.42<10[/tex] units
Therefore, [tex](-\frac{1}{10},-6)[/tex] will lie inside the circle.
Option D
Distance between [tex](8,10)[/tex] and [tex](6,-8)[/tex] = [tex]\sqrt{(8-6)^2+(10+8)^2}[/tex]
= [tex]\sqrt{328}[/tex]
= [tex]18.11[/tex] units
Since, [tex]18.11>10[/tex] units
Therefore, [tex](8, 10)[/tex] will lie outside the circle.
Now we can conclude that [tex](-\frac{1}{20},0)[/tex] and [tex](8,10)[/tex] will lie outside the circle.
Options (A) and (D) will be the correct options.
Learn more about the distance between two points,
https://brainly.com/question/3716231
Plz help due tomorrow
Answer:
2/5y and -0.2y
-6 and -2
Step-by-step explanation:
Here, we want to select the pair of like terms
To do this, we finish the evaluation of the expression
2/5y + 1/5x - 0.2y -6+ (-2)
We have the two y’s together
2/5y and -0.2y
-6 and -2
A taxi ride cost $35.00. If the driver was given a 15% tip, how much money was he given?
I really need help on this. Thank you
could you anwser this for me
Answer:
last answer
Step-by-step explanation:
I factored it, but I might have done it wrong.
HURRY IM BEING TIMED
This is an example of which property? 13 (8+7)=(13•8) + ( 13•7 )
Answer:
multiplication over addition
Step-by-step explanation:
I think soo bro. but do you need the answer too
Answer:
Distributive Property because of the formula
