The equation that represents they function f(x) = (1.6)^x after it has been translated 5 units up and 9 units to the right is;
g(x) = [(1.6)^(x - 9)] + 5
We are given the function;
f(x) = (1.6)^x
Now,when we translate a function 9 units to the right, it means that we will subtract 9 from the x unit to give;
g(x) = (1.6)^(x - 9)
Now, when we translate it 5 units upwards, it means we are adding 5 to f(x). Therefore, we now have;
g(x) = [(1.6)^(x - 9)] + 5
Read more on translation of graphs at; https://brainly.com/question/11468584
Amelia and her children went into a grocery store and she bought $10
worth of apples and bananas. Each apple costs $1 and each banana
costs $0.50. She bought a total of 12 apples and bananas altogether.
Determine the number of apples, x, and the number of bananas, y,
that Amelia bought.
Solve -(2x + 4) = 18.
7
-11
11
-7
Answer:
x=7
Step-by-step explanation:
Hope this helps!
Which equation choice could represent the graph shown below?
1085/7 show your work
Answer:
155
Step-by-step explanation:
how to solve an equation using quadratic formula
Answer:
[tex]{ \rm{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]
3.9 as a improper fraction
Answer:
18/5
Step-by-step explanation:
simple division mm m m k l k obkbono
Answer:
39/10
Step-by-step explanation:
I promise you correct answer ur welcome
What another number is divider to pi 3.14
The another number is divider to pi 22/7
The another number is divider to pi 22/7
Please help me with this it’s is urgent
Answer:
the nominator could be any number here
Step-by-step explanation:
what do you need ? the equation itself is true, if you put the same number in both places above 21.
any number is possible there, it will not change the equation.
so, again, I am not sure, what you need here.
let's write it with a variable to make my statements clearer :
9 + 1 x/21 = 10 x/21
that is true, because we can combine the whole numbers first giving us 9 + 1 = 10.
and then we add the fraction again (x/21).
again, you can put any number instead of x, and it will always be true.
example
9 + 1 4/21 = 10 4/21
Please solve this question
Answer:
K so we want to find angle EFC
Its a much longer process
AC is a line, so its 180 degrees
ED is 32 (This also makes AB 32 degrees)
Now we need DC
Find the other side angle length
180 - 32 - 87 = 61
theta is 61+32
Describe the location of point (4,2) on a coordinate plane. Enter a number in each box to complete the sentence.
The point is
units up from the origin on the y-axis and
units to the right of the origin on the x-axis.
Answer:
2 units up and 4 units to the right.
Step-by-step explanation:
It is 2 units up and 4 units to the right because since the x-coordinate is positive, that means the point is to the right of the origin and since the y-coordinate is positive, that means the point is above the origin.
PLEASE HELP QUESTION IN PIC.
Answer:
21.8
Step-by-step explanation:
Question 5 of 10
What is the solution to this equation?
6x + 10 - 2x = 7 + 23
A. X = 15
B. X= 4
C. X= 5
D. X= 2
Answer:
x=5
Step-by-step explanation:
First you combine the like terms. next you add 7+23. After that you subtract 10 from both sides. You're left with 4x=20. divide the equation by 4 on each term. Then you're left with x=5.
What is the measure of angle B?
Answer:
m∡B = 120°
Step-by-step explanation:
base angles are equal
adjacent angles are supplementary so:
4x+20 + 3x-15 = 180
7x + 5 = 180
7x = 175
x = 25
∡B = 4(25) + 20
∡B = 120°
Answer:
39.6
Step-by-step explanation:
(3x-15)+(4x+20)+2x=360
9x+5=360
9x=355
*Divide each side by 9*
X=39.4
*SUBSTITUTE X*
3(39.4)-15=103.2
4(39.4)+20=177.6
*ADD THE TOTALS FROM ABOVE*
103.2+177.6= 280.8
360-280.8=79.2
*DIVIDE THE TOTAL BY 2*
79.2/2=39.6
*CHECK*
3(39.4)-15=103.2
4(39.4)+20=177.6
103.2+177.6+39.6+39.6=360 IS CORRECT.
Hope this helps! :)
Find the value of f(7).
y = f(x)
I\ need\ the\ answers\ for\ 6.07\ 8th\ grade\ on\ peak\ fueled
Answer:
what's the question that you need answered?
Step-by-step explanation:
?
consider each table. does the table represent a proportional relationship? Select yes or no for tables A-C
Answer:
A. No, it does not represent a proportional relationship.
B. Yes, it represents a proportional relationship.
C. No, it does not represent a proportional relationship.
Step-by-step explanation:
think of the increase for X and Y, if they increase at the same rate for both and and for X to Y, they have a proportional relationship.
1308 evaluated khan academy
Answer: what? What’s the question?
solve y=f(x) for x. Then find the input when the output is -3. f(x)=3x^3
x=___
The input is____when the output is-3
[tex]f(x) =-3\\\\\implies 3x^3= -3\\\\\implies x^3 = -1\\\\\implies x = \sqrt[3]{-1} ~~\text{or}~~ x= \sqrt[3]{-1} \left(\dfrac{-1 \pm i\sqrt 3}2\right)\\[/tex]
[tex]\text{For x} \in \mathbb{R}, ~\text{the answer is x} = \sqrt[3]{-1} = -1[/tex]
Today, everything at the store is on sale. The store offers a 20% discount
If the regular price of an item is x dollars, what is the discount price in dollars?
Answer:
.8x dollars
Step-by-step explanation:
Twenty percent off means you are paying 80 percent of every dollar, and 80 percent translates to .8 to 1 as a proportion.
Answer:
$.80x
Step-by-step explanation:
0.80x
Which inequality is graphed on the number line?
Which correlation coefficient best matches the graph?
Answer:
Which graph?
Step-by-step explanation:
Answer:
where is the graph
Step-by-step explanation:
umm i dont know how to answer
II. Solve the problems involving variations. Show your complete solution. (3 points each) 1. If y varies directly as the square of x, and y = 32 when x = 2, find y when x = 5. 2. The force of attraction (F) between two opposite electrical charges varies inversely as the square of the distance (d) between them. If F = 18 when d = 10, find F when d = 15. 3. If y varies jointly as x and z, find y if x = 3, k = 6 and z = 9
Answer:
see explanation
Step-by-step explanation:
(1)
y varies directly as x² then the equation relating them is
y = kx² ← k is the constant of variation
To find k use the condition y = 32 when x = 2
32 = k × 2² = 4k ( divide both sides by 4 )
8 = k
y = 8x² ← equation of variation
When x = 5 , then
y = 8 × 5² = 8 × 25 = 200
(2)
Given F varies inversely as d² then the equation relating them is
F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation
To find k use the condition F = 18 when d = 10
18 = [tex]\frac{k}{10^2}[/tex] = [tex]\frac{k}{100}[/tex] ( multiply both sides by 100 )
1800 = k
F = [tex]\frac{1800}{d^2}[/tex] ← equation of variation
When d = 15 , then
F = [tex]\frac{1800}{15^2}[/tex] = [tex]\frac{1800}{225}[/tex] = 8
(3)
y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
when x = 3, y = 6, z = 9 ,then
y = 6 × 3 × 9 = 162
How do i do 5√2 x 3√2? Please show a step by step explanation Thank you <3
Step-by-step explanation:
As it's a product, just multiply each number! We notice there are 2 identical square roots multiplied, and we know that: [tex]\sqrt{x} * \sqrt{x} = x\\[/tex].
So we'll remain with: 5 * 2 * 3 = 30.
:)
Answer:
30
Step-by-step explanation:
First multiply 2 square root with 2 square root and since they are identical the answer will be 2.
Now multiply 3 and 5:
3×5= 15
Now we have two numbers 15 and 2, we will multiply 15 with 2 and we get 30
I couldn't explain well but I hope you understand
of the 400 employees,5% of them managers.How many managers does the zoo employ?
Answer:
20 of them are managers
Step-by-step explanation:
Basically All you gotta do is convert that 5 percent to a decimal, so 5% = 0.05
400 x 0.05 (multiplying it will just increase your answer) and you will get 20
To check it
20/5% or 0.05 = 400
5. (27:21) Harry says there are 5 families gone on
one block alone. If there are 12 families on that
block, how many families might you expect to be
gone on a street with 60 families?
Based on the number of families that left and the number in total on that block, the expected number of families gone on the other block is 25 families.
On the first block, the proportion of families that is gone is:
= Number of families gone / Total number of families on block
= 5 / 12
If there are 60 families on a block, the number gone would be:
= Proportion of families gone x Total number of families
= 5/12 x 60
= 25 families
In conclusion, 25 families would be gone
Find out more on proportions at https://brainly.com/question/11570843.
What is the slope of the line that passes through the points (10, 2) and (19, 14)?
Write your answer in simplest form.
Answer:
The slope of this line is 4/3.
Step-by-step explanation:
(x1, y1) = (10, 2)
(x2, y2) = (19, 14)
First, find the slope using the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
All this is doing is finding the distance between the y-coordinates and dividing it by the distance between the x-coordinates. I marked these two as points 1 and 2 above, so you can plug in all 4 values and solve:
[tex]m=\frac{14-2}{19-10}\\\\m=\frac{12}{9}\\\\m=\frac{4}{3}[/tex]
The slope of this line is 4/3.
Can someone please help me with this one I would appreciate it very much!! :D
Answer:
Abby will earn $510 if she works 60 hours.
Step-by-step explanation:
8 hrs --> $68
1 hr --> 68 × 1/8 = $8.5
So, 60 hrs
= 8.5 × 60
= $510
A ramp for a loading truck is 13 long and covers 12 feet along the level ground. How many feet high is the highest point on the ramp?
Answer:
5 feet
Step-by-step explanation:
Using pythagoras' theorem a^2 = b^2 + c^2
13^2 = 12^2 + c^2
c^2 = 25
c = 5 feet
Answer:5
Step-by-step explanation:
e: x10+x15+x30=3
⇒3x+2x+x30=30
∴x=15
a: 1.5t+2.5t+3.5t=70+0.5t
⇒7.5t−0.5t=70
⇒7t=70⇒t=707=10
b: Let the number be x.
Given that, 2x3−x6=10
⇒4x−x6=10
x=20
d: 3x+5>25−x
⇒3x+x>25−5
⇒4x>20⇒x>204⇒x>5.
A television set costs $4500 cash. When bought on hire-purchase, a deposit of $450 is
required, followed by 12 monthly payments of $400. How much is saved by paying cash?
Answer:
$750
Step-by-step explanation:
did the problem
When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.
Answer:
i think n = 4
Step-by-step explanation:
3(n+7) = 33
3n+21 = 33
3n = 12
n = 4
Answer:
n=4
Step-by-step explanation:
3(n+7)=33
3n + 21=33
3n=33-21
3n=12
n=12÷3
n=4