Answer:
X = 5
Step-by-step explanation:
1. Pull out like factors :
3x - 15 = 3 • (x - 5)
2. Solve :
3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
3. Solve :
x-5 = 0
Add 5 to both sides of the equation :
x = 5
The graph of exponential function f(x) is shown. What is the value
The value of f(6)=64
Given :
The graph of an exponential function .
Explanation :
We need to find out f(6) using the given graph .
To find f(x), first we find out the function f(x) using the graph .
Pick any two points from the graph (0,1) and (1,2)
General form of exponential function is [tex]y=ab^x[/tex]
Substitute (0,1) in general equation
[tex]1=ab^0\\1=a\\a=1[/tex]
Now we plug in (1,2) in the equation
[tex]y=ab^x\\2=1(b)^1\\2=b\\b=2[/tex]
Substitute a=1, b=2 in [tex]f(x)=ab^x\\[/tex]
[tex]f(x)=1(2)^x\\f(x)=2^x[/tex]
To find out f(6), we plug in 6 for x in f(x)
[tex]f(x)=2^x\\f(6)=2^6\\f(6)=64[/tex]
Learn more : brainly.com/question/3971260
26.5-9.3=?
help me pls
Answer:
17.2
Step-by-step explanation:
What is the first step in solving this system of equations using elimination?
3
y = -x+3
4
2x - 4y = 6
A. Write the second equation in slope-intercept form.
B. Subtract 2x from both sides of the second equation.
C. Write the first equation in standard form.
D. Multiply the first equation by 3.
Please select the best answer from the choices provided
Answer:
C. Write the first equation in standard form.
Does the graph show a proportional relationship? EXPLAIN.
Answer:
It is not proportional because it does not pass through the origin (0,0)
What is the image point of (3, 8) after a translation right 3 units and down 5 units
Answer:
(6, 3)Step-by-step explanation:
Translation right (or left) means change of the x-coordinate.
Translation down (or up) means change of the y-coordinate.
(3, 8) → (3+3, 8-5) = (6, 3)
f(x)=268 – 22x
The value of f(7)
11.86
422
114
-114
Answer:
114
Step-by-step explanation:
To evaluate f(7) substitute x = 7 into f(x), that is
f(7) = 268 - 22(7) = 268 - 154 = 114
the difference of the product of 3 and m
minus the quotient of m divided by 2
m=6
Answer:5m/2
Step-by-step explanation:
3m-m/2
(2×3m-1×m)/2
(6m-m)/2=5m/2
Complete the following table for the equation.
Y=5x+7
Answer:
Values if y:
-3
2
7
12
17
22
Answer:
if y= 5x+7 answer is
-3, 4, 7, 10, 22
Step-by-step explanation:
out put = input 5x+7
the u get these answers:
-3, 4, 7, 10, 22
Sonja's credit card has an APR of 21%, calculated on the previous monthly
balance, and a minimum payment of 2%, starting the month after the first
purchase. Her credit card record for the last 7 months is shown in the table
below.
End of Previous New Payment Finance Principal New
month balance
charges received charges paid balance
1
$0.00
$700.00 $0.00 $0.00 $0.00 $700.00
2 $700.00 $0.00 $14.00 $12.25 $1.75
$698.25
3 $698.25
$0.00 $13.97 $12.22 $1.75 $696.50
4 5696.50 $0.00 $13.93
$12.19 $1.74 $694.76
5 $694.76 $0.00 $13.90 $12.16 $1.74 $693.03
$693.03 $0.00 $13.86 $12.13 $1.73 $691.29
7 $691.29 $0.00 $13.83 $12.10 $1.73
5689.57
O
UN
About what percentage of Sonja's payments so far have gone to paying
interest?
O A. 10%
O B. 21%
O C. 23%
O D. 87%
Answer: D 87%
Step-by-step explanation:
Ap-ex
can someone help plz :')
Answer:
c]
Step-by-step explanation:
7/8 = 21/k whats k
Answer:
k = 24
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define
7/8 = 21/k
Step 2: Solve for k
Cross-multiply: 7k = 168Divide both sides by 7: k = 24Step 3: Check
Plug in k to verify it's a solution.
Substitute: 7/8 = 21/24Simplify: 7/8 = 7/8Here we see that 7/8 does indeed equal 7/8. ∴ k = 24 is a solution.
Buy 6 mangoes and get 2 free $2.00 per mango (a) Robin purchased $36.00 worth of mangoes. How many free mangoes did Robin get? (b) How many mangoes did he get all together? (c) Peter also bought mangoes. He received 40 mangoes. How much did Peter pay?
Answer:
A.) 6
B.) 24
C.) $60
Step-by-step explanation:
Given that :
Cost of Mango = $2
Purchase of 6 mangoes earns 2 free mangoes
(a) Robin purchased $36.00 worth of mangoes.
How many free mangoes did Robin get?
$36 / price per Mango
$36 / $2 = 18 mangoes
18 / 6 = 3
Hence, free mangoes (3 * 2) = 6 free mangoes
(b) How many mangoes did he get all together?
18 mangoes + 6 mangoes = 24 mangoes
(c) Peter also bought mangoes. He received 40 mangoes. How much did Peter pay?
Set of mangoes purchased:
40/ (6 + 2) = 40/8 = 5 sets of mangoes
Hence, amount paid :
2 * 6 * 5 sets
$60
How many solution of the system?
y = 2x + 3
3 y = 6 x + 9
Answer:
infinite number of solutions
Step-by-step explanation:
Given the 2 equations
y = 2x + 3 → (1)
3y = 6x + 9 → (2)
Divide the terms in (2) by 3
y = 2x + 3 → (3)
Since the equations are the same in (1) and (3) , then
The system has an infinite number of solutions
Explain how to change an Linear Equation from Standard form to slope intercept form. Tell me two reasons that it is important to be able to have the linear equation in slope intercept form.
Answer:
A) The standard form of a linear equation is given as follows;
Ax + By = C
In order to change the above linear equation from standard form to slope and intercept form which is the form y = mx + c, we have;
1) Move the x-variable (and its coefficient) to the right side of the equation as follows;
By = C - Ax
2) Divide both sides of the equation above equation, by the coefficient of y as follows;
By/B = C/B - Ax/B
y = C/B - A/B·x
3) Rearrange the right hand side of the above equation
y = -A/B·x + C/B
The equation given above is in the slope and intercept form, y = m·x + c, where;
m = -A/B
c = C/B
B) Two reasons why it is important to have a slope and intercept form of a linear equation are;
1) The slope and intercept for shows the initial value of the dependent variable, y, when the dependent variable, x is 0 which is the constant term, c, in the equation
2) The slope coefficient term, m, in the slope and intercept form of a linear equation shows the rate of increase of the y-coordinate value with a unit increase in x-coordinate value.
Step-by-step explanation:
Danielle takes her dog to be groomed. The fee to groom the dog is $75.00
plus 6.75% tax. Is $80.00 enough to pay for the service including tax? Justify
your answer. Pleaseeee helppp thank you!!
Answer:
no, it won't be enough because you would need $80.06
Step-by-step explanation:
I just found 6.75% of 75 and added it on
Find the slope of the line that passes through the given points.
(-5, 2) and (-2,8)
A 1/2
B 2
C -2
D) 6/7
E -6/7
Answer:
I do not know
Step-by-step explanation:
please help please help please help
Help me with please and thanks
Answer: b
Step-by-step explanation:
The answer is b because both sides of the table start with zero and both sides of the table have a continues pattern the y side(right). They are increasing by a set # of points(3).
I AM NOT POSITVE ABOUT THE ANSWER, BUT IF I HAD TO GUESS- B WOULD BE THE ANSWER! sorry if its wrong!
I’ll give you a brainliest if you answer the question in the picture
Answer:
1 2/4
Step-by-step explanation:
Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?
Answer:
$2,184
Step-by-step explanation:
$6,500 x 2.8% = annual interest
6,500 x 2.8% = $182 annual interest
$182 x 12 years = interest earned in 12 years.
182 x 12 = $2,184
How
4) The U.S. Census Bureau tracks the time it takes people to travel to work.
Location
Average Travel Time (min)
United States (average)
25.5
Los Angeles, CA
29.6
Chicago, IL
35.2
New York, NY
40.0
How does the average travel time for New Yorkers compare to the United States?
a.) 14.5 minutes longer
b.) 14.5 minutes shorter
c.) 4.8 minutes longer
d.) 10.4 minutes longer
Answer:
a) 14.5 minutes longerStep-by-step explanation:
Average time for New York = 40 minutesAverage time for United States = 25.5 minutesThe difference:
40 - 25.5 = 14.5 minutesCorrect choice:
a) 14.5 minutes longerAnswer:
a.) 14.5 minutes longer
Step-by-step explanation:
the average travel time for New Yorkers compare to the United States
= 40.0 - 25.5
= 14.5 min. longer
the points on the graphs represent relations. Classify these relations according to whether or not they are functions
9514 1404 393
Answer:
functions: 2 graphs on the rightnot functions: 2 graphs on the leftStep-by-step explanation:
If a vertical line can be drawn that goes through 2 or more points on the graph, then it is not a function. That will be the case for the two graphs on the left side of your figure.
The two graphs on the right side pass this "vertical line test," so are functional relationships.
upper left: not a function
upper right: is a function
lower left: not a function
lower right: is a function
An environment group invited 450 people to a fundraising event .315 people accepted the invention. What percent of the people accepted the invitation
Given:
Total number of invited people = 450
Total number of people who accept the invitation = 315
To find:
The percent of the people who accepted the invitation.
Solution:
We need to find 315 is what percent of 450.
[tex]\%=\dfrac{\text{Number of invited people - Who accept the invitation}}{\text{Number of invited people}}\times 100[/tex]
[tex]\%=\dfrac{450-315}{450}\times 100[/tex]
[tex]\%=\dfrac{135}{45}\times 10[/tex]
[tex]\%=3\times 10[/tex]
[tex]\%=30[/tex]
Therefore, 30% of the people accepted the invitation.
Your brother tells you a secret. You see no harm in telling two friends. After this second
"passing" of the secret, 4 people now know the secret (your brother, you and two friends). If
each of these friends now tells two new people, after the third "passing of the secret, eight
people will know. Write an equation to express the "passing" of the secret. If this pattern of
spreading the secret continues, how many people will know the secret after 10 such
"passings"?
Answer:
After n passing, the total number of people knowing the secret [tex]= 2^n[/tex].
After 10 passing, 1024 peoples know the secret.
Step-by-step explanation:
Given that each friend can pass the secret to 2 people.
On 1st pass:
Total number of people knowing the secret = 1+1=2
On 2nd pass:
Total number of people knowing the secret = 1+1+1x2=4
On 3rd pass:
Total number of people knowing the secret = 1+1+2+2x2=8
This can be written as [tex]1+1+2+2^2=1+1+2+2^{3-1}=8[/tex]
Or, [tex]1+S_3=8[/tex], where [tex]S_3=1+2+2^{3-1}[/tex].
So, for the [tex]n^{th}[/tex] pass:
Total number of people knowing the secret = [tex]1+1+2+2^2+\cdots+2^{n-1}=1+S_n, where, S_n = 1+2+2^2+\cdots+2^{n-1}[/tex].
As [tex]S_n[/tex] is the sum of geometric progression of n terms having the first term, [tex]a_1=1[/tex], and the common radio [tex]r=2[/tex].
So, [tex]S_n = \frac{a_1(r^n-1)}{r-1}[/tex]
[tex]\Rightarrow S_n =\frac{1(2^n-1)}{2-1}=2^n-1[/tex].
Hence, after n passing, the total number of people knowing the secret
[tex]=1+S_n = 1+2^n-1=2^n.[/tex]
After, 10 passing, put n=10.
Total number pf peoples know the secret [tex]= 2^{10}=1024.[/tex]
90% of 60,000,000
Please help soon
Answer:
54000000
Step-by-step explanation:
Answer:
is 54000000
Step-by-step explanation:
I got it right
A round swimming pool has a diameter of 59 ft, you want to paint the bottom of the pool. If each can of paint can cover 300 ft^2. How many cans do you need to buy?
Answer: You need to buy about 10 cans of paint.
Step-by-step explanation:
Given : Diameter of round swimming pool = 59 ft
Radius = half of diameter
= [tex]\dfrac{59}{2}[/tex] ft
Area of circle = [tex]\pi r^2[/tex] , where r= radius
Area of bottom of pool = [tex]\dfrac{22}{7}\times\dfrac{59}{2}\times\dfrac{59}{2}[/tex]
[tex]=\dfrac{38291}{14}\ ft^2[/tex]
Each can of paint cover 300 ft².
So , Number of cans required to cover 1 ft² = [tex]\dfrac1{300}[/tex]
Number of cans required to cover[tex]\dfrac{38291}{14}\ ft^2[/tex] = [tex]\dfrac{38291}{14}\times\dfrac{1}{300}=9.1169047619\approx10[/tex]
Hence, you need to buy about 10 cans of paint.
your bathtub is 2 feet wide, 6 1/2 feet long, and 2 feet, 9 inches deep when full how many cubic feet of water do you need to fill your bathtub?
Answer:
35.75
Step-by-step explanation:
Find the area of a triangle if the base is 8.2 m and the height is 4.6 m. (A=1/2bh)
Answer:
18.86
Step-by-step explanation:
8.2 x 4.6 = 37.72
37.72/2 = 18.86
Answer:
18.86
Step-by-step solution:
8.2 * 4.6 = 37.72
divide by two, 18.86
Sorry I couldn't elaborate further, I'm really busy right now. Please contact me if you need any more help and I will be sure to help you more soon.
Please show all your work!!!
Answer:
y= -6/5x -3
Step-by-step explanation:
So for now lets bring it into mx + b format
Subtract 6x from both sides to isolate y which is also called subtraction property of equality.
so 5y = -6x -15
Now you divide both sides by 5 which is called division property of equality.
You now have y = -6/5x - 3
y= -6/5x -3 is the slope intercept form of the standard form equation of 6x + 5y = -15.
Hope this helps!
Alex is making chocolate cakes. For each cup of milk he uses, he needs to use 1/2 cups of flour. For each
cup of flour he uses, he needs to use 1/3 cup of cocoa powder. Alex is making enough cakes that he needs
to use 4 cups of milk. How many cups of cocoa powder does Alex need to use?
answer: 2/3 (or 0.67) cups of cocoa
Step-by-step explanation: since you need to use 1/2 cups of flour for each cup of milk you divide 4 by 2 and you get 2 then you multiply 2 by 1/3 to get your answer
at least that's what i got