Using translation concepts, the equation will be given by:
[tex]g(x) = (x + 8)^3 + 3[/tex]
The parent function is:
[tex]f(x) = x^3[/tex]
Shifting a function left 8 units means that [tex]g(x) = f(x + 8)[/tex], hence:
[tex]g(x) = f(x + 8) = (x + 8)^3[/tex]
Shifting a function up 3 units means that 3 is added to the function, that is, [tex]g(x) = f(x + 8) + 3[/tex], hence:
[tex]g(x) = f(x + 8) + 3 = (x + 8)^3 + 3[/tex]
Which is the desired equation.
You can learn more about translation concepts at https://brainly.com/question/4521517
Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.
Step-by-step explanation:
x = number of hours A
y = number of hours B
x + y = 23
5.7x + 7.1y = 143.7
from the first equation we get
x = 23 - y
and that we use in the second equation
5.7×(23 - y) + 7.1y = 143.7
131.1 - 5.7y + 7.1y = 143.7
1.4y = 12.6
y = 12.6/1.4 = 9
x = 23 - y = 23 - 9 = 14
she was working 14 hours on job A and 9 hours on job B.
Answer:
she is rich
Step-by-step explanation:
Help help help help math
Is the relation below a function? If it is a function, state its domain.
{ (-2, 3) , (-2, -3) , (8, 1) , (3, 3)}
Answer:
not a function. domain = -2, 3, 8 (you don't have to write them in any specific order and you also don't need to write -2 twice)
Step-by-step explanation:
to be a function, all of the x's must be different
solve pls brainliest
How can I use the scale factor to determine if a picture is an enlargement?
Answer:
You can use the scale factor to determine if a picture is an enlargement if the scale factor is greater than 1. If it is less than 1 like 0.9 then the picture would be a reduction because you would be multiplying the number by a number smaller than 1. Now if we have a scale factor greater than 1 let's say 3. Then the picture would be an enlargement because the number is greater than 1.
Step-by-step explanation:
SOS, I really need help! I accidentally slept in.
Dynamite blue fire red grape purple
Will give BRAINLIEST
Answer:
Point B is
Step-by-step explanation:
Answer:
B (-2,-4)
Step-by-step explanation:
Kareem has $20,000 in his savings account that earns 5% annually. How much interest will he earn in one year?
Answer:
1000
Step-by-step explanation:
5% of my 20000 is 1000 so 21000 total or 1000 anually
Jackie, Maria, and Nadia all live on the same straight road. Jackie marks the location of Maria's home and the location of Nadia's home on a number line, using her own home's location as 0.
She marks Maria's home at −10.7 and Nadia's home at 4.9.
What is the distance between Maria's home and Nadia's home on Jackie's number line?
Enter your answer as a decimal in the box.
Answer:
15.6
Step-by-step explanation:
10.7+4.9=15.6
Answer:
15.6
Step-by-step explanation: I took the test
It costs $8 for admission to the Park City Ice Arena. In addition, renting skates costs $4 per hour.
Write an equation that shows how the total cost, y, depends on the length of the rental in hours, x.
Do not include dollar signs in the equation.
40 dollars
Step-by-step explanation:
Answer:
y = 8 + 4x
Step-by-step explanation:
y is the total cost of 1 skating experience.
y = 8 + 4x
This can be read as: the total cost, y, is equal to the admission, $8, plus $4 times the number of hours the skates are rented. No snacks included.
The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.
Answer:
Step-by-step explanation:
Formula
tn = a1 + (n-1)* d
Givens
tn = 67 (it is the last term or the nth term
n = 10
a1 = 4
find d
Solution
67 = 4 + (10 - 1)*d
67 = 4 + 9*d Subtract 4 from both sides
67 - 4 = 9d
63 = 9d Divide by 9
63/9 = 9d/9
7 = d
Remark: This is a fundamental application of the arithmetic sequence. You pretty much have to know how to juggle it's parts.
can someone help me with this
[tex]\dfrac{2x-3}x = \dfrac{14}{x+5}\\\\\implies (2x-3)(x+5) = 14x\\\\\implies 2x^2 +10x -3x -15 -14x=0\\\\\implies 2x^2-7x-15=0\\\\\text{Apply quadratic formula,}~~x= \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}.\\\\\text{In this case,}~ a=2, b=-7~ \text{and}~ c = -15. \\\\\\x = \dfrac{-(-7) \pm \sqrt{(-7)^2 -4\cdot 2 \cdot (-15)}}{2(2)}\\\\\\\implies x = \dfrac{7 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{7 \pm 13}4\\\\\\[/tex]
[tex]\text{Hence} ~x = \dfrac{7+13}{4} = \dfrac{20}4 = 5 ~\text{or}~ x = \dfrac{7-13}4 = -\dfrac{6}4 = -\dfrac 32[/tex]
B. Does x = 5 satisfy the equation above. Explain?
C. is x =1/2 a solution of the equation above? Explain?
Answer:
B
Step-by-step explanation:
3(x +1) =3x +3
Plug it in
3(5+1)=3(5)+3
3(6)=15+3
18=18
I need help with this and show your work.
Answer:
Step-by-step explanation:
Determine which climbed at a constant rate
A constant rate would produce a straight line. The slope is the same for all the data for that climber. We can either calculate the slope between the first and last intervals and see if the slope changes. Or we can graph the points, which I chose to do. See the attachment.
Note that Joe's rate is not constant. It appears as though he's wearing down. Both Zas and Stephon have constant slopes, so their climbing rates are constant over the period measured.
The slope is the climbing rate:
Joe: Not Constant
Zas: 2.5 feet/sec
Stephon: 4.0 feet/sec
Time to Reach 30 feet
Joe: Unknown - he's slowing down at an unpredictable rate.
For Zas and Stephen, use their slopes in the expression:
Use m for slope (ft/sec): y = m(t) where t is time in seconds
Zas: 2.5 feet/sec: y = 2.5(t) Time to reach 30 is 30/2.5 or 12 sec.
Stephon: 4.0 feet/sec: y = 4.0(t) Time to reach 30 is 30/4.0 or 7.5 sec.
Factorise
3-x^2
Someone answer this question please
Answer:
No factors.
3 - x^2 is prime.
Step-by-step explanation:
Triangle HAM is reflected over the y-axis using the rule (x, y) → (−x, y) to create triangle H′A′M′. If a line segment is drawn from point A to point A′, which statement would best describe the line segment drawn in relation to the y-axis?
They create concentric circles.
They are parallel to each other.
The y-axis is a bisector of the segment drawn.
The segment drawn and the y-axis are congruent to each other.
The statement that best describes the line segment drawn in relation to the y-axis is (c) the y-axis is a bisector of the segment drawn.
The transformation rule is given as:
[tex](x,y) \to (-x,y)[/tex]
When the triangle is reflected to form triangle H'A'M', the vertices of triangle H'A'M' would be:
[tex]H'A'M' = (-x,y)[/tex]
So, the distance from point A to the y-axis is equidistant to the distance from point A' to the y-axis.
This, in other words means that the y-axis bisects the line segment AA'.
Hence, the relation between the segment and the y-axis is (c)
Read more about reflection at:
https://brainly.com/question/1600006
Answer:
C. The y-axis is a bisector of the segment drawn.
Step-by-step explanation:
Use the function z=7c to find the value of z when c=8.
Answer:
z = 56
Step-by-step explanation:
z = 7(8)
Name the Marked angle in 2 different ways.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!!
Answer:
<NLO and <OLN
Step-by-step explanation:
These two angle names are the same. the letters are simply reversed. it's like saying 1+2=3 and 2+1=3. the same. only reversed but still fluent in simplicity.
7.2 divided by 450 !!
Answer:
62.5
Step-by-step explanation:
Determine what type of model best fits the given situation: A $500 raise in salary each year. A. exponential B. quadratic C. none of these D. linear
Answer:
A - Exponential
Step-by-step explanation:
Exponential is the best fitting model because there's a $500 raise in salary each year, so $500 is added to the salary of the previous year.
Can someone help me with this?
Answer:
Step-by-step explanation:
[tex]\frac{\sqrt{36x^3y^4}}{2x^{2/3}y^{-4}}=\frac{6x^{3/2}y^2}{2x^{2/3}y^{-4}}=3x^{5/6}y^6[/tex]
a=3, b=5/6, c=6
3*(5/6)*6= 15
The number of ounces in an unknown number of pounds. Let z= the variable.
Answer:
16z
Step-by-step explanation:
z = the unknown number of pounds
16 ounces in 1 pound.
So z pounds = 16z
or it can be given as a proportion;
[tex]\frac{16 ounces}{1 pound} (z)[/tex]
Zoom if you have to see more clearly ! Answer #4 , #5 , & #6 for me !! Show proof for all please ! I'll be giving brainliest and report wrong answers or answers that are correct but no proof !
Answer:
N/A; 32; -8
Step-by-step explanation:
4) You have to graph this equation... basically pick two points on the line and connect them. I'd do (0,4) and (4,1) because they're the easiest
5) Just plug -2 into the equation! -3x³+2x², so when you substitute x for -2, you get -3*(-2)³+2*(-2)²=-3*(-8)+2*4=24+8=32
6) -6m+6+6=4-7m, so m=-8
The orange had 12 sections. Dave ate of them. How 2/3 many sections are left?
Answer:
4 are left. or 1/3 are left
If f(x) = â’2 8, what is f(â’1. 8)? 4 6 10 12.
Answer:
f(x) = [x] - 2 + 8
[x] is the notation for 'greatest integer function'
f(-1.8) = [-1.8] - 2 + 8 = -2 -2 + 8 = 4
The answer is 4
Step-by-step explanation:
The value of the function f(x) = [x] - 2 + 8 when x = -1.8 is 12
Given the function f(x) =[x] - 2 + 8, we need to find f(-1.8)
To get the value of f(-1.8), we will simply substitute x = -1.8 into the function to have:
f(-1.8) = -1.8 - 2 + 8
f(-1.8) = -3.8 + 8
f(-1.8) = 11.8
Since x is in a square bracket, we will round the value up to the nearest whole number, hence;
f(-1.8) = 12
Therefore the value of the function f(x) = [x] - 2 + 8 when x = -1.8 is 12
Learn more on functions here; https://brainly.com/question/10439235
what is the area of the rectangle.
Answer:
54 units^2
Step-by-step explanation:
jerry swims 5 3/5 killometers in a 7 day period. He swims the same distance each day.What distance does he swim in a day
Answer:
0.8 km per day
Step-by-step explanation:
5 3/5 is the same as 5.6, so
5.6/7
= 0.8 km per day
In this diagram, lines AC and DE are parallel and line DC is perpendicular to each of them. What is a reasonable estimate for the length of side DE
The reasonable estimate for the length of side DE is 3 units
Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.
Using the similarity theorem of a triangle, this is expressed as:
AC = DE
Using the pythagoras theorem to get the length of AC:
AB^2 = AC^2 + BC^2
5^2 + AC^2 + 4^2
AC^2 = 25 - 16
AC^2 = 9
AC= 3
Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units
Learn more on similar shapes here: https://brainly.com/question/14285697
Answer:
5/3
Step-by-step explanation:
what is the answer to the equation -7x-3x+2= -8x - 8
Answer:
x=5
Step-by-step explanation:
-7x-3x+2= -8x - 8
Add like terms
-7x-3x=-10x
-10x+2=-8x-8
+8x +8x
-2x+2=-8
-2 -2
-2x=-10
Divide by -2 to isolate the variable
x=5
Answer:
x = 5Step-by-step explanation:
what is the answer to the equation
-7x - 3x + 2= -8x - 8
-7x - 3x + 8x = -10
2x = -10
x = 5
----------------------
check
-7 * 5 - 3 * 5 + 2 = -8 * 5 - 8
-48 = -48
the answer is good
Can someone please
Help me with this graph
Answer:
graph the slope and the -2
Step-by-step explanation:
first, plot a point at (0,-2) because of the -2 as the y intercept
then, start graphing ur slope
ur next points should be
(2,-1), (4,0) (6,1) and so on
Change 7 1/4 to an improper fraction
Answer:
29/4
Step-by-step explanation:
7 x 4 = 28
28 + 1
hope that helps!
Answer:
29/4
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
4 × 7 = 28
Step 2
Add the answer from Step 1 to the numerator
28 + 1 = 29
Step 3
Write answer from Step 2 over the denominator
29/4
Hope this helps!:)
