Answer:
Step-by-step explanation:
5x + 2 = 22
Bringing like terms on one side
5x = 22 - 2
5x = 20
x = 20/5 = 4
If f(x) = 2x, then f -(x) =
Please help
Answer:
[tex]f^{-1}(x)= \frac{1}{2}x[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2x[/tex]
Required:
Find [tex]f^{-1}(x)[/tex]
[tex]f(x) = 2x[/tex]
Replace f(x) with y
[tex]y = 2x[/tex]
Swap both variables
[tex]x = 2y[/tex]
[tex]2y = x[/tex]
Make y the subject
[tex]y= \frac{1}{2}x[/tex]
Replace y with f-1(x)
[tex]f^{-1}(x)= \frac{1}{2}x[/tex]
Which expression gives the distance between the points (4, 6) and (7,-3)?
O A. (4-7)2 + (6 - 3)
B. (4-7)2 + (6 +372
O C. _(4-7) + (6 +3)?
O D. 14 - 7)?+ (6 - 37²
SUBMIT
I think it's A not sure though
Calculate the distance (d) using the distance formula
The expression gives the distance between the points (4, 6) and (7,-3) is . √(4-7)² + (6 +3)²
The correct option is Option C.
What is Distance Formula?The formula for measuring distance is . Any two points in 2D space that have the coordinates (x₁, y₁) for the first point and (x₂, y₂) for the second point can be used in this way.
The Euclidean distance formula is another name for the formula used to calculate the separation between two points on a two-dimensional plane.
Given:
The points are (4, 6) and (7, -3) respectively.
Put points in the formula:
Formula: distance= √(x_2-x_1)²+(y_2-y_1)²
substituting we get,
√(4-7)² + (6 +3)²
, which is the required expression.
Hence, The expression gives the distance between the points (4, 6) and (7,-3) is . √(4-7)² + (6 +3)²
The correct option is Option C.
To know more about Distance Formula visit:
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Ana recycles a cookie tin use for storing school supplies. The tin is a rectangular prism with a length of 14 centimeters, a width of 10 centimeters,
and a height of 4 centimeters.
What is the length of the longest pencil that can fit inside the tin?
Answer:
f
Step-by-step explanation:
Area of the Composite Figure:
in 2
llin
4in
15 in
Answer:
58.3 in^2
Step-by-step explanation:
The shape is made of a rectangle, a triangle and a semi-circle. We can find the area of each section and then add them together to get the area of the whole shape.
The area of a rectangle is length x width.
The length of the rectangle is 11 inches and the width is 4 inches
11 times 4 is 44
so the area of the rectangular section is 44 inches squared
To find the semi circle, I would find the area of a circle with an equal radius, and then divide that by 2.
The area of a circle is pi times the radius squared.
The radius here is 2 inches because it says diameter is 4 inches
2 squared is 4 and 4 times pi is ~12.6
So the area of the semi-circle section is ~6.3 inches squared
The area of a triangle is 1/2 base x height
Both the base and height of this triangle are 4 inches long (15-11=4)
so 1/2(4) times 4 is 8
so the area of the triangle section is 8 inches squared
Add them all together and you get 58.3 inches squared
The Emerald Bot clicks 3 times in ____ sec, and its Unit Rate is 7.5 clicks per second. Find the number of sec.
Answer: The Emerald Bot clicks 3 times in __0.4_ sec
²/₁₅ second per click × 3clicks = ²/₅ sec
Or 0.1333 × 3 = 0.3999 Round to 0.4
Step-by-step explanation: If its unit rate is 7.5 clicks per second, we can find the time, seconds per click by dividing one second by 7.5 clicks
1/7.5 = 0.13333 seconds per click.
Multiply that ²/₁₅ seconds by the 3 clicks to get the time it takes for the 3 clicks.
Find all real solutions of the equation.
x4/3 − 7x2/3 + 10 = 0
Will give brainliest
Answer:
Only Figure 4
Step-by-step explanation:
A regular polygon has all congruent sides and angles. Only Figure 4 has these qualities.
Figure 1 doesn't have congruent angles.
Figure 2 doesn't either.
Figure 3 doesn't have a congruent sides.
A company has recorded data on the weekly sales for its product (y) and the unit price of the competitor's product (x). The data resulting from a random sample of 7 weeks follows. Use Excel's Regression Tool to answer the following questions. Week Price Sales 1 .33 20 2 .25 14 3 .44 22 4 .40 21 5 .35 16 6 .39 19 7 .29 15 What is the estimated regression equation
Answer:
y = 41.603X + 3.582
Step-by-step explanation:
Given the data:
Week ___Price ____ Sales
1 _______.33 _______20
2 ______ .25 _______ 14
3 ______ .44 _______ 22
4 ______ .40 _______ 21
5 ______ .35 _______ 16
6 ______ .39 _______ 19
7 ______ .29 _______ 15
Using the linear regression calculator ; The regression equation obtained is :
y = 41.603X + 3.582
Where ;
y = sales (predicted variable)
x = price (predictor variable)
Slope = 41.603
Intercept = 3.582
-6a2 – 18a + 240
AC Method
[tex] - 6( {a}^{2} + 3a - 34)[/tex]
Step By Step Explanations:1) FACTOR OUT THE COMMON TERM 6.
[tex] - 6( {a}^{2 } + 3a - 34)[/tex]
therefor the answer is, -6(a² + 3a - 34 )
A line has a slope of 5 and includes the points (1,t) and (3,2). What is the value of t?
Hello!
[tex]\large\boxed{t = -8}[/tex]
We can find the value of t using the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the given slope and coordinates into the appropriate places:
[tex]5 = \frac{2-t}{3-1}[/tex]
Simplify:
[tex]5 = \frac{2-t}{2}[/tex]
Multiply both sides by 2 to begin isolating for t. Simplify and solve for t:
[tex]5 * 2 = 2 - t\\\\10 = 2 - t\\\\8 = -t\\\\t = 8[/tex]
PLEASE HELP DUE IN 5 MINS
Answer:
it is going to be intersecting
Answer:
the first or the third not the second one. sorry kinda forgot how to do this
Step-by-step explanation:
Ophelia reads 104 pages in 2 hours, how many pages will she read in 3 hours? REMEMBER TO INCLUDE THE UNIT OF MEASURE (PAGES)
IN YOUR ANSWER.
eb9th
m 12:00
Your answer:
Answer:
156 pages.
Step-by-step explanation:
Ophelia's reading speed is 104 pages / 2 hours = 52 pages/hour. So in 3 hours she will have read 3 * 52 = 156 pages.
Jon went to the store and bought 4 bags of chips and 2
packs of gum for $8. Timmy went to the store as well and
bought 2 bags of chips and 2 packs of gum for $5. How
much does one bag of chips cost and one pack of gum
cost?
How long would it take the money to triple in value, if it is continuously compounding at 18% ?
Answer:
therefore t = 1.0986122887 0.06 = 18.31 hence to the nearest year, it will it take 18 years for an investment to triple, if it is continuously compounded at 6 % per year.
Step-by-step explanation:
You deposit $10,000 in an account that pays 5.88% annual interest. Find the balance after 2 years when the interest is compounded monthly
Answer:
The above calculator compounds interest monthly after each deposit is made. Deposits are applied at the beginning of each month. If you want to make deposits at the end of each month, then please subtract the first deposit from the initial savings amount.
Step-by-step explanation:
What number does has an absolute value greater than 5
Answer:
anything above 5 i believe
Step-by-step explanation:
pretty sure or 10
Step-by-step explanation:
anything five up or -5 and up
find the missing values in the ratio table
Answer:
42 : 216 : 348 : 24Step-by-step explanation:
The number on the top line of the table is 14/7 = 2 times the number on the bottom line.
To find the bottom number, divide the top number by 2.
To find the top number, multiply the bottom number by 2.
The missing ratios are ...
42 : 21
6 : 3
48 : 24
Solve the following:
three and three fourths minus one and two fourths equals
Answer:
3 3/4 - 1 2/4 = 2 1/4
Step-by-step explanation:
An easier way to find an answer is to separate the fractions from the wholes numbers. So it would be 3-1 which is two, plus 3/4 muus 2/4 which is 1/4. So if you add 2 and 1/4 you get 2 2/4 as your answer
4x +1 =2x + 5
Need the answer please explain in detail because I’m writing a half page on how to solve it
Answer:
x=2
Step-by-step explanation:
4x+1=2x+5
-2x -2x
2x+1=5
-1 -1
2x=4
2x/2
4/2
x= 2
sorry I didn't explain better but here
raynor earns $4 in rewards for every $75 he spends at the grocery store if he earned $44 in rewards last much did he spend at the store
Answer:824
Step-by-step explanation:
Answer:824
Step-by-step explanation:
Jesse has a collection of nickels and quarters worth $5.00. She has 40 more nickels then quarters. How many coins of each type does she have?
Answer: Jesse has 50 nickels and 10 quarters
Step-by-step explanation:
set up a system of equation
q is quarters and n is nickels
q+40=n is the first equation
.05n+.25q = 5 or 5n+25q=500
solve by substitution
5(q+40)+25q=500
5q+200+25q=500
30q=300
q=10
substitute back into the original equation
10+40=n
50=n
The four tables represent functions.
Which table represents a non-linear function?
For this question the answer is:
C.
-
I left photos of the answers to some other questions in the quiz.
-
Please give me brainliest, I helped you.
Plzzzz helppp plzzzzzz
Answer:
Step-by-step explanation:
D
58.5 divided by 157.95
Answer:
157.95 ÷58.5
=2.7
Step-by-step explanation:
.. . ... .
Please answer the 2 questions I put. Please show your work in the answers.
On a school bus, 22 of the 40 students are in window seats. What percent of the students are in window seats?
Only 6 of the 75 trees in a park are at least 30 feet tall. What percent of the trees are under 30 feet tall?
Answer:
75% of what number is 24? 32. Yesterday, 8% of the 150 6th graders were late. How many 6th graders were late? ... On a school bus, 22 of the 40 students are in window seats. What percent of the students are at a window seat? 55%. Write as a fraction in simplest form. 0.8%. 1/125.
Step-by-step explanation:
2. Gerald was given the following problem to solve for the length of the "?". He has made a mistake in his work.
Identify and describe how he made his mistake. Then, solve the problem correctly.
Gerald's work
Answer:
x = 18.7
Step-by-step explanation:
Gerald's answer is almost correct.
He just needs to switch the 14 and the x.
it should be
24/x = 18/14
solve for x by cross multiplication
18x = (24)(14)
18x = 336
x = 18.7
Decrease 18000 by 6%
Answer:
16920
Step-by-step explanation:
6% of 18000 is 1080 so 18000-1080 is 16920
Answer:
16920
Step-by-step explanation:
18000-6% of 18000
=18000-6/100*18000
=18000-1080
=16920
Helpppp me pls! What is the lenght of AC?
Step-by-step explanation:
Bc is also 20 answer is 400
IS C THE CORRECT ONE, easy I’ll make BRAINLIEST
Answer:
yes it is
Step-by-step explanation:
Answer:
yeah
Step-by-step explanation:
Create an equation
331 students went on a field trip.Six buses were filled and 7 students traveled in cars.How many students were in each bus
answer:
54 students
since 7 students left,
331 - 7 = 324
324 / 6 = 54 students