Answer:
f(g(x)) = 9x + 1
Step-by-step explanation:
f(x) is defined as 3x + 1. To find f(g(x)), substitute g(x) = 3x for x in f(x):
f(g(x)) = 3(g(x)) + 1 = 3(3x) + 1 = 9x + 1
or:
f(g(x)) = 9x + 1
Determine the slope of each line, if any. Identify which of the lines is vertical or horizontal.
1. f(x)=2x-5
2. f(x)= -3x + 7
3. f(x) = x + 6
4. f(x) = 1/4x -8
5. f(x)= 1/4x-1/2
Answers:
slope = 2slope = -3slope = 1slope = 1/4slope = 1/4None of the five lines are horizontal or vertical
===============================================
Explanation:
Something like f(x) = 2x-5 is the same as y = 2x-5. This is because y = f(x).
Compare y = 2x-5 with y = mx+b. We see that m = 2 is the slope in this case.
The other four questions are handled the same way.
A horizontal line occurs when the slope is 0. Since none of the slopes are zero, none of the lines are horizontal.
A vertical line equation is of the form x = k, where k is any real number. The y variable is not involved. It is not possible to write a vertical line equation in the form y = mx+b because the slope m is undefined. So none of the given five equations are vertical lines.
Side note: something like y = x+6 is the same as y = 1x+6
Help with this question plzzzzzz
Answer:
C) 145 degrees
Step-by-step explanation:
angles 2 and 5 are same side interior angles, which means they're supplementary. (they add together to make 180)
using that, you can make the following equation:
(x is angle 2 to avoid confusion)
35 + x = 180
subtract 35 from both sides
x = 180 - 35
x = 145
540,000 is what percent of 600,000?
90%
because 540,000/600,000 = 0.9
and 0.9 multiplied by 100 = 90
Hope this helps!
Answer:
90%
Step-by-step explanation:
540,000 x 100 / 600,000 = 90
1) Which expressions can be used to find 1/4
of 12?
Answer:
Multiplication
Step-by-step explanation:
1/4 of 12 can also equal :
[tex] \frac{1}{4} \times 12[/tex]
Further explanation :
[tex] \frac{1}{4} \times \frac{12}{1} = \frac{12}{4} \\ = 3[/tex]
Helpppp, what is a solution set for |a|=6
A
B
C
D
what is the midpoint of the segment with endpoints (17,1) and (-9,3)
Answer:
(4,2)
Step-by-step explanation:
[tex](x_{m} ,y_m) = \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}[/tex]
(17,1) & (-9,3)
x₁ = 17, x₂ = -9
y₁ = 1, y₂ = 3
1). [tex]\frac{17+(-9)}{2}[/tex], [tex]\frac{1+3}{2}[/tex]
2). (4, 2)
Express XCVI to Hindu Arabic
numerals.
Answer:
XCVI in Hindu Arabic numerals. is 96 (100-10+5+1)
Ben wants to buy 2 blue sweaters for $116 each and 3 brown sweaters for $42 each.
How much will Ben spend on the five sweaters?
Ben will spend $
on the five sweaters.
Name all of the angle(s) that are adjacent and congruent to angle BDC
Answer:
im not sure if im entirely correct, so i apologize in advance
<HDF
<BDG (i think)
<CDE
Step-by-step explanation:
The angles that are adjacent and congruent to ∠ BDC are ∠ HDF , ∠EDH and ∠CDE.
A figure is given in the question.
We have to tell about angles which are congruent to ∠ BDC.
What are the adjacent angles ?
The two angles are said to be adjacent angles when they share the common vertex and side.
As per the definition of adjacent angles ;
we can check for the adjacent angles from the figure.
Here ;
∠ BDC = ∠ HDF.
∠ BDC = ∠ EDH.
∠ BDC = ∠ CDE.
To check , if these are congruent too ; we must know that two angles are congruent when they have the same angle measurement, i.e., they’re equal.
if we compare from the figure ; we found that these angles are also congruent to each other.
Thus , the angles that are adjacent and congruent to ∠ BDC are ∠HDF , ∠EDH and ∠CDE.
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∠A and ∠B are complementary. m∠A = 46°. Find m∠B.
Answer:
angle B will be 44°____________________when two angle are complementary when the added up to 90°so. angle B = 90°-46°=44°
Answer:
90-46=54
Step-by-step explanation:
Anna and Hannah have \$80$80dollar sign, 80 each. Their friend offered to invest their money, promising to return a sum rrr times as great as what they invested. Anna was suspicious, so she invested \$20$20dollar sign, 20 only, but Hannah invested her entire \$80$80dollar sign, 80. Fortunately, the friend did indeed return a sum rrr times as great to each.
They decided to make another investment. This time, Hannah invested all of the money returned to her, and Anna invested the money returned to her and the remaining \$60$60dollar sign, 60. Again, they got a sum rrr times as great as what they invested. In the end, Hannah had twice the amount Anna had.
Write an equation in terms of rrr that models the situation.
9514 1404 393
Answer:
2r(20r +60) = 80r^2
Step-by-step explanation:
Anna's first investment:
20
Anna's first return:
20r
Anna's second investment:
20r +60
Anna's second return:
r(20r +60)
__
Hannah's first investment:
80
Hannah's first return, and her second investment:
80r
Hannah's second return:
80r^2
__
Twice Anna's return was equal to Hannah's return:
2r(20r +60) = 80r^2
I need help with algebra 2 work pls ASAP
9514 1404 393
Answer:
g(x) = (x +1)^2 +3
Step-by-step explanation:
You know that the transformation ...
g(x) = f(x -h) +k
moves the f(x) graph h units to the right and k units up. In this problem, we have h=-1 (1 unit left) and k=3 (3 units up), so the transformation is ...
g(x) = f(x +1) +3
Since f(x) = x^2, the equation for g(x) is ...
g(x) = (x +1)^2 +3
8⁴x8²=8 to the power of ____
Answer: yeah I got it right Tyson
Step-by-step explanation:
PLZ I NEED THIS RN
The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph:
A graph titled Motion of Ant is shown. The graph shows time in seconds on the x-axis and the Distance from Hole in centimeters on the y-axis. The scale on the x-axis is shown from 0 to 6 at increments of 1, and the scale on the y-axis is shown from 0 to 12 at increments of 2. The graph has 3 straight lines. The first line is labeled P and joins ordered pairs 0, 0 and 2, 6. The second line is labeled Q and joins ordered pairs 2, 6 and 3, 6. The third line is labeled R and joins ordered pairs 3, 6 and 5, 0.
Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph. (5 points)
Answer:
A: Nonlinear
B: Constant=0, Decreasing=M, Increasing=K
C: 2-3-3
Step-by-step explanation:
1. Linear graph - one with a line that has the same slope all the way through
The line doesn't have the same slope the whole way through because at one part it flattens and also decreases
---------------------------------------------------------------------------------
2. Remember: Increase (up), decrease (down), constant (constant)
---------------------------------------------------------------------------------
3. In my words, I don't know if they're asking the pattern or technical, but you can add on to the 2 mins walk, 3 mins stop, then 2 mins walk again.
Hope it helps
Which pair of angles is not congruent?
Answer:
A
Step-by-step explanation:
Answer:I’m gonna say 4 and 6
Step-by-step explanation:
Because they are not congruent because if they where congruent it would have been 1/7
PLS HELP 15 POINTSSSSSSSSS
Answer:
Rational it's a fraction of two integers Irrational can't be written as a fraction Irrational can't be written as a fraction Rational it can be multiplied by two numbers Irrational can't be put in even a fraction:) Hope you enjoy this :)Add. Write your answer as a decimal.
10.9+(−15.6)+2.1
Answer:
−2.6
Step-by-step explanation:
The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list
9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58
One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5 x IQR rule for outliers, is there evidence to support the student's claim?
Answer:
30, 31, 32, 35, and 38
Step-by-step explanation:
4 of 10
Jim was thinking of a number. Jim adds 20 to it, then doubles it and gets an answer of 99.2.
What was the original number?
Answer:
x =29.6
Step-by-step explanation:
Let x be the number
x+20
2(x+20) = 99.2
Divide each side by 2
x+20 = 99.2/2
x+20 = 49.6
Subtract 20
x = 49.6-20
x =29.6
Graph line with the equation y=x+6. (Can you explain how to do this overall)
Answer:
First using y = Mx + b with m = slope and b = y intercept so 1/3 = slope and (0,6) is y intercept next plot (0,6) the plot slope from that point with rise/run or from point (0,6) go up +1 point and over +3 and make a point then go up +1 and over +3 or from (0,6) use slope = -1/-3 since they equal the same thing. So from point (0,6) go down -1 and to the left -3. Then draw your line.
Step-by-step explanation:
Complete the table to show the number of times per year that account 3 compounds interest. Then, use that value to write the exponential expression that models the amount of money Brianna would have for account 3 after t years. The math process used to write the exponential expression for account 4 has been modeled for you:
Account 4: r = 0.03425, and n = 365 because the interest is compounded daily.
Because $250 is the initial deposit, P = 250.
I need know for 3rd year
Answer:
1 1 250(1.035)t
2 12 250(1.002896)12t
3 52 250(1.0006635)52t
4 365 250(1.0000938)365t
Step-by-step explanation:
From Plato
The complete details is shown below:
What is interest?Interest, in its most simple form, is calculated as a percent of the principal.
Given:
r = 0.03425, and n = 365
P = 250.
Table
Expression for the Amount of Money Number of Times Interest
after t Years is Compounded per Year
Account
250(1.035) 1
250(1.002896)12 12
250(1.0000938)365+ 365
So,
1 *[250(1.035)t] 12* [250(1.002896)12t] 52* [250(1.0006635)52t] 365* [250(1.0000938)365t]Learn more about interest here:
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a number that can be expressed as a fraction is a ___
( fill in the blank ) will give brainliest !
Answer:
rational numbers?
Step-by-step explanation:
A number that can be expressed as a fraction is a rational number.
Step-by-step explanation:
Rational numbers aren’t whole numbers they are fractions And whole numbers can be expressed as a fraction if you put 5 like 5/1
Aldo the trainer has two solo workout plans that he offers his clients: plan a and plan b. Each client does either one or the other (not both). On friday there 8 were clients who did plan a and 3 who did plan b. On saturday there were 3 clients who did plan a and 5 who did plan b. Aldo trained his friday clients for a total of 7 hours and his saturday clients for a total of 6 hours. How long does each of the workout plans last?
Answer:
x = number of hours to train plan a clients
x = 0.55 hour
y = number of hours to train plan b clients
y = 0.87 hours
Step-by-step explanation:
Friday
Plan a = 8 clients
Plan b = 3 clients
Total hours = 7
Saturday
Plan a = 3 clients
Plan b = 5 clients
Total hours = 6
Let
x = number of hours to train plan a clients
y = number of hours to train plan b clients
8x + 3y = 7 (1)
3x + 5y = 6 (2)
Multiply (1) by 5 and (2) by (3)
40x + 15y = 35 (3)
9x + 15y = 18 (4)
Subtract (4) from (3)
40x - 9x = 35 - 18
31x = 17
Divide both sides by 31
x = 17 / 31
= 0.548 hour
Approximately
x = 0.55 hour
Substitute x = 0.55 hour into (1)
8x + 3y = 7
8(.55) + 3y = 7
4.4 + 3y = 7
3y = 7 - 4.4
3y = 2.6
Divide both sides by 3
y = 2.6 / 3
= 0.867 hours
Approximately
y = 0.87 hours
x = number of hours to train plan a clients
x = 0.55 hour
y = number of hours to train plan b clients
y = 0.87 hours
13-17 (my report comes tomorrow so i need help)
Answer:
44444444444444444
Step-by-step explanation:
Peter bought 8 lemons for $ 6. Each lemon was the same price.
What was the cost for 1 lemon?
Answer:
$0.75
Step-by-step explanation:
the total was 6 dollars, and there were 8 lemons. so 6/8 = 3/4 = 0.75
hope this helps!! :)
Answer:
.75 cents each
Step-by-step explanation:
if you divided the 6 dollars by the 8 lemons then you get 0.75
what is the decimal as a fraction 7/11
Answer:
0.63
Step-by-step explanation:
Hey there!
[tex]\huge\boxed{\mathsf{\dfrac{7}{11}}}\\\\\\\huge\boxed{\mathsf{= 7\div 11}}\\\\\\\huge\boxed{\mathsf{= 0.636364}}\\\\\huge\boxed{\textsf{Therefore, your answer is: 0.636364}}\huge\checkmark[/tex]
Good luck on your assignment and enjoy your day!
~[tex]\frak{Amphitrite1040:)}[/tex]
le
What is the simplified expression for the expression below?
7(x - 4) – 3(x + 5)
0 4x - 43
O4x + 1
0 4x - 13
O 4X-9
Answer:
4x - 43
Step-by-step explanation:
7x - 28 - 3x - 15
7x - 3x - 28 - 15
4x - 43
The simplified expression is 4x - 43.
The correct option is A.
What is an expression?A term is a single mathematical phrase. It might consist of only one variable—a letter—one number—positive or negative—or several variables multiplied but never added or subtracted. A number is placed in front of some nouns that have variables. Coefficients are numbers that come before phrases.
As per the information provided, it is given that,
7(x - 4) - 3(x + 5)
Expanding the brackets and simplifying, we get:
7(x - 4) - 3(x + 5) = 7x - 28 - 3x - 15
7(x - 4) - 3(x + 5) = 4x - 43
Therefore, the expression is 4x - 43.
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Melanie has pieces of train track that are 8 inches long that she is connecting together to form a track that her train can travel on. Martin is also trying to construct a track for his train but is using track pieces that are 20 inches long. How long will the shortest track be if the track that Melanie builds ends up being the same length as Martin's track?
Answer:
40 inches long
Step-by-step explanation:
In order to find the shortest possible track that they can both have but still be equal in length, we need to find the least common multiple of their train track pieces. In order to do so, we simply write out the multiplication table of each of their pieces' length until we find a common number, like so
8*1 = 8 20*1 = 20
8*2 = 16 20*2 = 40
8*3 = 24
8*4 = 32
8*5 = 40
Now we have found the first common multiple which is a value of 40 meaning that the shortest train track that they can build with the same length would be a track that is 40 inches long
PLZ HELP MEE Which choice correctly shows how to use partial products to find 250×15
?
A.
1,250+150
B.
2,500+150
C.
1,250+1,250
D.
1,250+2,500
The solution of the multiplication of the 250 x 15 will be 1250 + 2500. The correct option is D.
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.
When we multiply a multiplicand by one digit of a multiplier that has more than one digit, the result is known as a partial product.
Given numbers 250 and 15. The multiplication will be done as below:-
250
x 15
--------
1250
2500
--------
3750
Therefore, the solution of the multiplication of the 250 x 15 will be 1250 + 2500. The correct option is D.
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what is the surface area?