simplifying products and quotients 2^5/4=2^5/2^a=2^b=c
please help
Answer:
8=16a=2b=c
Step-by-step explanation:
2^5/4=2^5/2^a=2^b=c
32/4=2^5/2^a=2^b=c
8=2^5/2^a=2^b=c
8=32/2^a=2^b=c
8=32/2a=2^b=c
8=16a=2^b=c
8=16a=2b=c
the function of f (x) is defined by f (x)=4x+7. the inverse of f (x) is g (x). what is g (15)?
Answer:
g(15) = 2
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Function inversesStep-by-step explanation:
Step 1: Define
f(x) = 4x + 7
g(x) = f⁻¹(x)
g(15) is x = 15
Step 2: Find inverse
Rewrite: y = 4x + 7Swap: x = 4y + 7Isolate y term: x - 7 = 4yIsolate y: (x - 7)/4 = yRewrite: y = (x - 7)/4Back-substitute: g(x) = (x - 7)/4Step 3: Evaluate
Substitute: g(15) = (15 - 7)/4Subtract: g(15) = 8/4Divide: g(15) = 2(2) A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain your reasoning. *
Answer:
$65
Step-by-step explanation:
Let
x = original price of the item
Mai buys one item and saves $13,
This means 20% of the original price of the item = $13
20% of x = 13
20/100 * x = 13
0.2 * x = 13
0.2x = 13
Divide both sides by 0.2
x = 13 / 0.2
= 65
x = $65
Therefore, the original price of the item is $65
What is the square root of 450 divided by 5?
Answer:
The square root of 450 is irrational, meaning it never ends. As an estemate though the answer is 4.24
Step-by-step explanation:
15pts and brainliest to whoever can answer
(Also EXPLAIN the reasoning you used to find the value of P
9514 1404 393
Answer:
p = 3x+10
Step-by-step explanation:
The attached diagram pretty much explains it.
The unknown dimension at the top was the subject of a previous problem. It is the difference in length between the two marked horizontal segments:
(2x +15) -(x) = x +15 . . . . . length of unmarked solid horizontal line
Similarly, the length of the unmarked vertical line on the right is the difference between the marked vertical lines:
(2x -5) -(x -5) = x . . . . . length of unmarked solid vertical line
__
The formula for the area of a rectangle is used to find the areas of the left-side and right-side rectangles. Respectively, those areas are ...
left-side area = x(2x -5)
right-side area = x(x +15)
Then the total area enclosed by the solid line is ...
x(2x -5) +x(x +15) = x(2x -5 +x +15) = x(3x +10)
__
The area of the lot extension is the product of its dimensions:
extension area = x·p
We want this to be the same as the area in the solid line, so ...
x·p = x·(3x +10)
Dividing by the coefficient of p (which is x), we have ...
p = 3x +10
Events which do not influence each other are called
Answer:
Independent Events
Step-by-step explanation:
Independent Events are events which do not affect each other.
HTH :)
Please help!
4. Which line represents a proportional relationship?
a. y1
b. Y2
C. Y3
d. Y4
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear equality in the coordinate plane 2x+y>4
9514 1404 393
Answer:
see below
Step-by-step explanation:
Setting x=0, you can find the y-intercept:
y = 4
Setting y = 0, you can find the x-intercept:
2x = 4
x = 2
The boundary line can be drawn through these intercept points, (0,4) and (2,0). Because the "equal to" case is not included, the boundary line will be dashed.
The y variable is on the open side of the comparison symbol (y>), so the shading is above the boundary line. That is where y-values are greater than those on the line.
Answer:
Answer is in the attachment
Step-by-step explanation:
mark me the brainiest
It takes Mark 45 minutes to ride his bike 5 miles. At this rate, how long will it take him to ride 8 miles?
Answer:
1 hour and 12 mins
Step-by-step explanation:
A side of the triangle below has been extended to form an exterior angle of 112°. Find
the value of x.
Simplify the expression.
3x3 - 2x2
Answer:
3x^3 - 2x^2
Step-by-step explanation:
This is the answer because for the equation 3x^3 - 2x^2, nothing further can be done to this equation since there are no like terms.
Jan is using toothpicks to create patterns as shown below.
A
Figure 1
Figure 2
Figure 3
Based on this pattern, how many toothpicks will Jan use in Figure 16?
Answer:
63
Step-by-step explanation:
I did the CFU.
need help i will mark brainliest
Answer:
sorry all I know is "C" is 30
Step-by-step explanation:
Answer:
t=15 k=320 p=30 j=39 r=22
Choose the graph for the inequality.
Answer:
B
Step-by-step explanation:
help will be helpful thank you
Answer:
a. 9+15+12=34ft
b.10×2+40×2=100cm
Step-by-step explanation:
For A add all the numbers and for B add 10 twice and 40 twice because there arent any numbers there.
2. Choose the expanded form for: 5.673 *
(5 x 1) + (6 x 1/10) + (3 x 1/100) + (7 x 1/1000)
O five and six hundred seventy three thousandths
O (5 x 10) + (6 x 1/10) + (7 x 1/100) + (3 x 1/1000)
O (5 x 1) + (6 x 1/10) + (7 x 1/100) + (3 x 1/1000)
using ratio plz help im stuck i need #5 for one side 1-5 for the other
4) Find the slope of the graph
(-2,7)
(6, 1)
Answer:
m=−3/4 b=11/2
Step-by-step explanation:
Answer:
Slope =-3/4
Step-by-step explanation:
Given
Point on the slope (-2,7) (6, 1)
Where ( x1,y1) is (-2,7) and (X2,y2) is (6,1)
Slope =y1-y2/ x1-x2
=7-1/-2-6
= 6/-8
= -3/4
So the slope is -3/4
Ms. Costo is shopping for a new car. The salesman tells her the price will be $18,795 before a 10% discount. Ms. Costo isn’t sure she is getting the best price, so she sends Ms. Deele to ask the price of the same car. This time the salesman tells her the price is $17,050. Who is offered the better price? What is the price of the better deal after paying the 6% sales tax?
Answer:
The first deal is the best deal. After the sales tax, the second deal is the better deal. I hope this helps!!
Answer:
978678
Step-by-step explanation:
kjgh
Given that for all values of x,
f(x) = 4x + p
g(x) = px + 1
and fg(x) = 12x + q
where p and q are constants.
Work out the values of p and q.
Answer:
Step-by-step explanation:
p = 3
M also looking for q.
If f(x) = 4x + p, g(x) = px + 1 and fg(x) = 12x + q. The value of p and q are 4 and 7.
What is Function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)
f(x) = 4x + p
g(x) = px + 1
and fg(x) = 12x + q...(1)
So f(g(x)=4(px+1)+p
=4px+4+p...*
Comparing * with (1).
4p=12
P=3
q=4+p
q=4+3
q=7
Therefore p is 3 and q is 7.
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ2
What is the solution?
Answer:
y=60 x=16
Step-by-step explanation:
the triangles are identical so 92+y=3y-28 so solve that for y:
-y +28
120=2y . /2 /2
60 = y so y=60
and 6x+2=3x+50 and solve that for x: which gets x = 16
Then are you supposed to plug it in to the numerical equvilant to the angles and sides becuase if so: B and E is 152, AC and DF are 98
Hope this helps and brainliest would be greatly appreciated! Thanks!
Mike has a recipe that feeds one person that calls for 3/8 teaspoon
of salt. How much salt is needed to make the recipe if he needs to cook
the recipe for 3 people? thank u if u help and need this ASAP
Answer: 1 1/8 teaspoons
Step-by-step explanation:
1 person = 3/8 teaspoons
3/8 x 3 = 1 1/8 teaspoons
Glados goes to the store and buys a pet giraffe for $20. The store has
a sales tax rate of 6%. How much tax will Glados have to pay?
Jabel required
What is the measure of a vertex angle of a triangle if the base angle measures 38° and two congruent sides each measure 42 units?
Answer:
Bearing in the mind that an ossicle triangle has twin sides and coming out of the vertex they make twin angles at the base check the picture out
Step-by-step explanation:
Same way with 42
The Franks family ordered 7 pizzas for their son's birthday party on Saturday.
They purchased pizzas and gave the delivery man a $15 tip. The totalamount
paid including the tip was $78.
Answer:
Question?
Step-by-step explanation:
I can't see it am sorry
Answer:
If your looking for the amount per pizza then it’s $9
Step-by-step explanation:
1. 78-15=63
2. 63/7=9
3. 9 dollars per pizza
the phones continue to be made with the correct working part, so the percentage continues to increase. what percent is reached if (round answers to the nearest tenth of a percent):
- the next 50 phones are working?
- the next 100 phones are working?
- the next 500 phones are working?
Answer:
The next 50 phones are working? ---> 88.3%
The next 100 phones are working? ---> 93.6%
The next 500 phones are working? ---> 98.6%
Step-by-step explanation:
Just answered it on edge :)
Answer:
88.3
93.6
98.6
Step-by-step explanation:
Edge2021
Write the quadratic equation whose roots are 1 and -6, and whose leading coefficient is 5.
(Use the letter x to represent the variable.)
Answer:
[tex]f(x)=5x^2+25x-30[/tex]
Step-by-step explanation:
Quadratic Equation
If the roots of a quadratic equation are known, we can form the equation as follows:
[tex]f(x)=a(x-x_1)(x-x_2)[/tex]
where x1 and x2 are the known roots, and a is the leading coefficient.
We are given the roots as x1=1 and x2=-6, and the leading coefficient as a=5, thus:
[tex]f(x)=5(x-1)(x+6)[/tex]
Operating:
[tex]f(x)=5(x^2-x+6x-6)[/tex]
Simplifying:
[tex]f(x)=5(x^2+5x-6)[/tex]
Multiplying:
[tex]\mathbf{f(x)=5x^2+25x-30}[/tex]
At the U-Pack Shipping, the workers can unload 24 trucks in 8 hours. Which of the following is a correct unit rate for this situation?
1 over 3. of a truck per hour
1 over 3. of an hour per truck
3 hours per truck
1 truck per hour
Answer:
1 over 3. of an hour per truck.
Step-by-step explanation:
1/3 x 1 hour = 20 min.
20 min X 24 (each truck) = 480 mins
480 mins / 60 mins = 8 hours
1/3 of an hour per truck.
A baker uses 1,232 ounces of flour daily. The baker's recipe for a loaf of bread calls for 12 ounces of flour. How many full loaves can he bake in one day?
Answer:
102 loafs of bread
Step-by-step explanation:
1232 ÷ 12 = 102.6666666666
102 is the answer
Answer:
102 loafs of bread
Step-by-step explanation:
1232 ÷ 12 = 102.6666666666
102 is the answer
helpp simplify thissss
Answer:
2c^2
Step-by-step explanation:
8c^3d^2/4cd^2
divide the 8 by 4 to get 2
You subtract the powers so c^3-c=c^2 the d^2 cancel each other out
that leaves 2c^2