Function Algebra Unit test
1. (F•g)(x)=3x-9/x+4
2. F^-1 (x) = -3x-4/x-7
3. ( -5 , 0) u ( 0 ,~)
4. D: (-~,2) u (2,~) R: (-~,0) u (0,~)
5. {y|0 _< y< 8}
6. Restricted domain : x _> -4 ;f^-1 (x) = -4+ sqrt x-3
7. The function C because the graphs of A and C are line symmetrical about the Y=X
8. (-~,-3) u (-3,-5/2) u (-5/2,~)
9. ( 4 points )
10. (g • f) (x)= x+3/sqrt x+2
11. (f•g) (x) = x+6 ; [ -2,~)
Answer:
8. Answer is A: (-00,-4) U (-4,-3/5) U (-3/5,00)
9. No not 1-1 function
10. x+4/sqrtx+1 (A)
11. D =x+12;[-3,00)
Step-by-step explanation: The above is 100% correct and I put the rest of answers. I just did it.
Find R, if 5R²+ (22.255)² = (27.45)²
Answer:
R = 7.186340863
Step-by-step explanation:
5R^2 + 495.285025 = 753.5 5025
5R^2 = 258.217475
R^2 = 51.643495
R = 7.186340863
Are u Asian
PLEASE HELP I WILL MARK BRAINIST!!!!
An education budget went from $800,000 to $900,000. What is the approximate percent increase?
A.The approximate percent increase is 13%.
B.The approximate percent
increase is 89%.
C. The approximate percent increase is 98%.
D. The approximate percent increase is 113%.
Answer:
The answer is A
Step-by-step explanation:
I got it right on edge.
Answer:
The approximate percent increase is 13%.
Step-by-step explanation:
Which expression is equal to zero?
0 -27 = 3-9
O 9 + (-27) - -3
O 27+ 3 + 9
O-27 (-3) - 9
Answer:
D
Step-by-step explanation:
-27 (-3) - 9
Multiply the - 3 with the - 9
-27 +27
= 0
Answer:
Your last choice is the correct answer.
Step-by-step explanation:
1 do the division. -27/(-3)= 9
2 do the subtraction. 9-9=0
Therefore your answer is -27÷(-3)-9
HOPE THIS HELPS!
Please help me!!!!!!!
Answer:
Step-by-step explanation:
B or c for the first one
type sum random i will mark brainlist
Answer: Ummm Thanks :D
Step-by-step explanation:
A triangle has side lengths measuring 20 cm, 5 cm, and n cm. Which describes the possible values of n? 5 < n < 15 5 < n < 20 15 < n < 20 15 < n < 25 How far would Pete walk if he went from A to B to C? yards The direct distance from A to C is more than yards. The inequality w < represents the distance, w, that Pete might save by taking the direct path.
Answer:
[tex]15 < n < 25[/tex]
Step-by-step explanation:
Given
[tex]Side\ 1 = 20cm[/tex]
[tex]Side\ 2 = 5cm[/tex]
[tex]Side\ 3 = n[/tex]
Required
Determine n using inequality
The three sides of the triangle must satisfy two of the following conditions
[tex]Side\ 1 + Side\ 2 > Side\ 3[/tex]
[tex]Side\ 1 + Side\ 3 > Side\ 2[/tex]
[tex]Side\ 2 + Side\ 3 > Side\ 1[/tex]
Substitute values in the above inequalities;
[tex]20 + 5 > n[/tex]
[tex]20 + n > 5[/tex]
[tex]5 + n > 20[/tex]
Solve each of the inequalities
[tex]20 + 5 > n[/tex]
[tex]25 > n[/tex]
[tex]n < 25[/tex]
[tex]20 + n > 5[/tex]
[tex]n > 5 - 20[/tex]
[tex]n > -15[/tex]
[tex]5 + n > 20[/tex]
[tex]n > 20 -5[/tex]
[tex]n>15[/tex]
Since, the second inequality has negative, we simply ignore it
So, we combine the first and the third:
[tex]n>15[/tex] and [tex]n < 25[/tex]
[tex]15 < n[/tex] and [tex]n < 25[/tex]
Combine both
[tex]15 < n < 25[/tex]
The second question is not clear and it is unanswerable
Answer:
answer is D
15 < n < 25
see picture
Step-by-step explanation:
You plan to buy
discount movie tickets for your
friends that costs $3.50 per ticket
and popcorn that costs $2.50.
Write and solve an inequality to
find out the most amount of
friends you can invite if your
allowance is $13.
Answer:
2 friends...............
The sum of four consecutive odd integers is three more than five times the least of the integers. Find the integers.
Answer:
9, 11, 13, 15Step-by-step explanation:
{k - some integer}
2k+1 - the first odd integer (the least)
5(2k+1) - five times the least
5(2k+1)+3 - three more than five times the least
2k+1+2 = 2k+3 - the odd integer consecutive to 2k+1
2k+3+2 = 2k+5 - the next odd consecutive integer (third)
2k+5+2 = 2k+7 - the last odd consecutive integer (fourth)
2k+1+2k+3+2k+5+2k+7 - the sum of four odd consecutive integers
2k+1 + 2k+3 + 2k+5 + 2k+7 = 5(2k+1) + 3
8k + 16 = 10k + 5 + 3
- 10k -10k
-2k + 16 = 8
-16 - 16
-2k = -8
÷(-2) ÷(-2)
k = 4
2k+1 = 2•4+1 = 9
2k+3 = 2•4+3 = 11
2k+5 = 2•4+5 = 13
2k+7 = 2•4+7 = 15
Check: 9+11+13+15 = 48; 48-3 = 45; 45:5 = 9 = 2k+1
4|3x+4|=4x+8 algerbra 2 questions
Answer:
x=-1 or x=-3/2
Step-by-step explanation:
A teacher earns $28,500 per year. If 18% of her income is withheld for taxes, how
much money is withheld for taxes? How much of her income is left after taxes?
Answer:
23,370
Step-by-step explanation:
Because 18% of 28,500 is 5130 and 28500-5130=23370
Those that finish the marathon will get a medal - if-then form
Answer:
if they finish the marathon then they will get a medal
Step-by-step explanation:
Hope this helps
can someone just help me! I can't figure it out and nobody is responding to me with some steps or the answer! I really appreciate it if you take your time to help me.
Answer:
Step-by-step explanation:
8x+1 = y+10
(8x+1) + (27x +4) =180
When StartFraction 2 x squared Over y EndFraction = StartFraction w + 2 Over 4 EndFraction is solved for w, one equation is w = StartFraction 8 x squared Over y EndFraction minus 2 Which of the following is an equivalent equation to find w?
Answer:
a. w=8x^2+2y/y
Step-by-step explanation:
edge 2022
Answer:
a. w=8x^2+2y/y
Step-by-step explanation:
What is the solution of the equation: -3m - 21 =-6
answer choices
-45
-5
9
-81
Answer:
-5
Step-by-step explanation:
Add 21 to both sides:
-3m - 21 = -6
-3m = 15
Divide each side by -3
m = -5
Answer:
-5
Step-by-step explanation:
-3m-21=-6
switch sides to remove the negative sign
6-21=3m
-15=3m
-15/3=m
m=-5
What can you use to show the similarities and differences between what two authors have written on the same topic?
(1 point)
a pie chart
a Venn diagram
a bar graph
a timeline
Answer:
Venn Diagram
Step-by-step explanation:
Compared similarities and differences
True or False: A method of creating a geometric figure that is mathematically precise by using a compass and
straightedge is called drawing or copying.
Answer:
true
Step-by-step explanation:
True, A method of creating a geometric figure that is mathematically precise by using a compass and straightedge is called drawing or copying.
Given that,
A statement is given we have to determine whether the statement is true or false.
In congruent geometry, the shapes that are so identical. can be superimposed to themselves.
Here,
The statement is given is, "A method of creating a geometric figure that is mathematically precise by using a compass and straightedge is called drawing or copying."
The given statement si true because the statement is the true definition of drawing or copying, drawing or copying are the methods of creating a figure or portrait of something in precise order.
Thus, the given statement is true.
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There was a junior and senior division for the runners in the Friendly 5K Race. Two friends, Boomer and Paulina,
argued about who was faster, relative to their divisions. In the junior division, Boomer had a standardized score of z =-
0.23, while in the senior division, Paulina's standardized score was z = -0.28. Which of the following best describes the
conclusion between the two friends?
Because Boomer has a larger standardized score, he did better relative to his division than Paulina.
Because Boomer has a smaller standardized score, he did better relative to his division than Paulina.
Because Boomer has a larger standardized score, Paulina did better relative to her division than Boomer.
Because Boomer has a smaller standardized score, Paulina did better relative to her division than Boomer.
Because the standardized scores are essentially the same, Boomer and Paulina tied each other, relative to their
divisions.
Answer:
The correct option is;
Because Boomer has a larger standardized score, he did better relative to his division than Paulina
Step-by-step explanation:
The standard score of Boomer in the junior division = -0.23
The standard score of Paulina in the senior division = -0.28
We note that the standard score is the same as the z-score which is given as follows;
[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]
Where;
μ = The mean or average score (average speed of the runners in a division)
x = The recorded score (the speed recorded by a given runner)
σ = The standard deviation of the data set (of the division)
Therefore, given that we have;
The standard score of Boomer in the junior division = -0.23
The standard score of Paulina in the senior division = -0.28
Therefore, since -0.23 > -0.28, we have;
The standard score of Boomer > The standard score of Paulina
Which gives;
Because Boomer has a larger standardized score, he did better relative to his division than Paulina
Answer:
Because Boomer has a larger standardized score, he did better relative to his division than Paulina.
Explanation:
On the z-table, Boomers score is 59.10% and Paulina’s score is 38.97%. Boomer’s score is larger.
Use compatible numbers to find two estimates.
4,858÷73
Please oh please help me I don’t want too fail!
Answer:
D
Step-by-step explanation:
The best bet would be D because if its going counterclockwise 360 degrees then it would make a full rotation going back to the same position although I would work out the problem to the best of your ability just to make sure because I'm not entirely sure about my answer.
Help ASAP 10 points please
Answer:
-6 and -7
Step-by-step explanation:
sqrt of 49 is 7 and sqrt of 36 is 6 and 44 is between those two
A recipe for 114 dozen cupcakes calls for 123 cups of flour, but Rashida has only 1 cup of flour. How many cupcakes can she make? Hint: Pay close attention to the units! Enter your answer as a mixed number. For example, if your answer is 4212, enter 42 1/2
Answer:
9 cups
Step-by-step explanation:
Given
[tex]1\frac{1}{4}\ dozen\ cupcakes = 1\frac{2}{3}\ cups[/tex]
Required
Determine the number of cupcakes for 1 flour
Represent this with x
[tex]x = 1\ cup[/tex]
[tex]1\frac{1}{4}\ dozen\ cupcakes = 1\frac{2}{3}\ cups[/tex]
Cross Multiply
[tex]x * 1\frac{2}{3}= 1\frac{1}{4}\ dozen * 1[/tex]
[tex]1\frac{2}{3}x = 1\frac{1}{4}\ dozen[/tex]
Convert fractions to improper fraction
[tex]\frac{5}{3}x = \frac{5}{4}\ dozen[/tex]
Solve for x
[tex]x = \frac{5}{4} * \frac{3}{5}\ dozen[/tex]
[tex]x = \frac{3}{4}\ dozen[/tex]
[tex]1\ dozen = 12[/tex]
So, we have:
[tex]x = \frac{3}{4} * 12[/tex]
[tex]x = 9\ cups[/tex]
Find the quotient of 1 1/5 and 3 4/5
Answer:
6\19
Step-by-step explanation:
I put in 4 14\25 like the other peson said to do it was WRONG the real answer is 6\19 Please put me as brainlies!!! Hope this helped! :)
[6(22+4)^2 - 2(19+3)^2]^0 what is the answer
Answer:
infinite solutions
Step-by-step explanation:
Help me please
Jsjejjrhjdososjhsxbxhxjdhdsh
Answer:
It's 18.
Step-by-step explanation:
17 plus 18 plus 19 equals 54, and the middle number is 18.
Point P is located on the segment between point A(1, 4) and point D(7, 13). The
distance from A to P is twice the distance from P to D. What are the coordinates
of point P?
Answer:
(5, 10)
Step-by-step explanation:
If AP : PD = 2 : 1, then ...
P = (2D +1A)/(2+1)
P = (2(7, 13) +(1, 4))/3 = (14+1, 26+4)/3 = (5, 10)
The coordinates of point P are (5, 10).
1/3 (6x +12) - 2(x-7)=19
Answer:
no solution
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex](6x + 12) - 2(x - 7) = 19 ← distribute parenthesis on left side
2x + 4 - 2x + 14 = 19 , that is
18 = 19 ← not possible
This indicates the equation has no solution
What is 12.375 written In expanded form
Answer:
10+2+0.3+0.07+0.005
Step-by-step explanation:
Writing the number in expanded form means to write the value of each digit then add them together to find the sum. For example, the number 1,234 has the following values: The value of 1 is written as 1,000 because it's in the thousands place. The value of 2 is written as 200 because it's in the hundreds place.
1. & 2. In the diagram below, points A, B, and C are collinear. Answer each of the following questions. The figure shown below is not drawn to scale, meaning you cannot determine your answers by using your ruler.
Answer:
a) [tex]\overline{AB}[/tex] = 8 in
b) When the length of AC = [tex]6\frac{1}{2}[/tex] in. and BC = [tex]3\frac{1}{2}[/tex] in. [tex]\overline{AB}[/tex] = 10 in
c) When the length of AB = 10.2 in. and BC = 3.7 in. [tex]\overline {AC}[/tex] = 6.5 in
d) When the length of AB = [tex]4\frac{3}{4}[/tex] in. and BC = [tex]3\frac{1}{4}[/tex] in. in. [tex]\overline {BC}[/tex] = [tex]1\frac{1}{2}[/tex] in
Step-by-step explanation:
a) When the length of AC = 5 in. and CB = 3 in. we have;
The length of [tex]\overline {AB}[/tex] = AC + CB (segment addition postulate)
Therefore;
[tex]\overline{AB}[/tex] = 5 in. + 3 in. = 8 in.
b) When the length of AC = [tex]6\frac{1}{2}[/tex] in. and BC = [tex]3\frac{1}{2}[/tex] in. we have;
The length of [tex]\overline {AB}[/tex] = AC + CB (segment addition postulate)
Therefore;
[tex]\overline{AB}[/tex] = [tex]6\frac{1}{2}[/tex] in.+ [tex]3\frac{1}{2}[/tex] in. = 10 in.
c) When the length of AB = 10.2 in. and BC = 3.7 in. we have;
The length of [tex]\overline {AC}[/tex] = AB - BC (converse of the segment addition postulate)
Therefore;
[tex]\overline {AC}[/tex] = 10.2 in.+ 3.7 in. = 6.5 in.
d) When the length of AB = [tex]4\frac{3}{4}[/tex] in. and BC = [tex]3\frac{1}{4}[/tex] in. in. we have;
The length of [tex]\overline {BC}[/tex] = AB - AC (converse of the segment addition postulate)
Therefore;
[tex]\overline {BC}[/tex] = [tex]4\frac{3}{4}[/tex] in. - [tex]3\frac{1}{4}[/tex] in.= [tex]1\frac{1}{2}[/tex] in.
at the end of the pizza party 1/3 of the chesse pizza and 1/6 of the peperoni pizza were left. brad ate 1/2 of all the leftover pizza . what is the fractional part of a whole pizza did brad eat A.1/12 B.1/9 C.1/6 D.1/4
Answer:
It's 1/6
Step-by-step explanation:
5x + 25 = 100
what is X
Answer:
x= 15
Step-by-step explanation:
Step 1- Subtract 25 to both sides.
5x+25= 100
-25 -25
Step 2- Divide both sides by 5.
5x= 75
5 5
x= 15
The value of x for the equation 5x + 25 = 100 is 15.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
5x + 25 = 4 is an equation
We have,
5x + 25 = 100
Subtract 25 on both sides.
5x = 100 - 25
5x = 75
Divide both sides by 5.
x = 15
Thus,
The value of x is 15.
Learn more about equations here:
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