Answers
Answer:
The thirdStep-by-step explanation:
[tex](g\circ f)(x) = g\big(f(x)\big)[/tex]
so:
[tex]I.\quad (g\circ f)(a)=\sqrt{f(a)}=\sqrt{a^2-4}=\sqrt{(a+2)(a-2)}\\\\II.\quad (g\circ f)(a)=2f(a)-2=2(\frac12a-1)-2=a-2-2=a-4\\\\ \bold{III.\quad (g\circ f)(a)=\sqrt{f(a)-5}-2=\sqrt{5+a^2-5}-2=\sqrt{a^2}-2=|a|-2}\\\\ IV.\quad (g\circ f)(a)=4f(a)-5=4(3-3a)-5 = 12-12a-5=-12a+7[/tex]
Related Questions
If an image of a triangle is congruent to the pre image what is the scale factor of the dilation
Answers
Answer:
1
Step-by-step explanation:
Because the pre image and dilated image are congruent, the scale factor is 1.
The pre image.
Identify the transformation on the figure shown.
A) rotation about the x-axis
B) rotation about the y-axis
C) reflection over the x-axis
D) reflection over the y-axis
Thank you
Answers
Answer:
It is a reflection over the y-axis (D)
Step-by-step explanation:
Each corresponding point is equidistant from the y-axis and follows the rule (x,y) turns to (-x,y). For example the point (1,1) is mapped to (-1,1) and both points are 1 unit away from the y-axis so we know that one is the reflection of the other.
Answer:
reflection over y axis
Step-by-step explanation:
did it on usatestprep and made a 100
Graph this following function
Answers
Answer:
Please find attached the graph of the following function;
[tex]\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.[/tex]
Step-by-step explanation:
We note that the function is linear from x = 2 to just before x = 0
The linear relationship of the function f(x) with x changes just before x = 0
At x = 0, the value of f(x) is indicated as 1
From just after x = 0, the function is a straight horizontal line y = 3
The function also changes value immediately after x = 0 to the line y = 3
The areas where the function is defined are shown in continuous lines
find the value of a and b for which the system of equations has infinitely many solutions : 2x + 3y = 7 ; (a-b)x + (a+b)y = 3a + b - 2
Answers
Answer:
a= 5 and b=1
Step-by-step explanation:
To solve, we will follow the steps below:
2x + 3y = 7
(a-b)x + (a+b)y = 3a + b - 2
We should note that since it has infinitely many solutions then,
[tex]\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }[/tex]
Hence
2/a-b = 3/a+b = 7/3a +b-2
2/a-b = 3/a+b
cross-multiply
3(a-b) = 2( a+b)
open the bracket
3a - 3b = 2a + 2b
collect like term
3a - 2a = 2b + 3b
a = 5b -------------------------------------------(1)
Similarly
3/a+b = 7/3a +b-2
cross-multiply
7(a+b) = 3(3a+b -2)
7a + 7b = 9a + 3b -6
take all the variables to the left-hand side of the equation
7a - 9a+ 7b-3b = -6
-2a + 4b = -6 ---------------------------------(2)
but a = 5b
substitute a= 5b in equation (2) and solve for b
-2(5) + 4b = -6
-10 + 4b = -6
add 10 to both-side of the equation
-10 + 10+ 4b = -6+10
4b = 4
divide both-side of the equation by 4
b = 1
substitute b= 1 in equation (1)
a = 5b
a =5(1)
a=5
Therefore, a= 5 and b=1
12/31/2019: At the end of the first year of operations, Yolandi Company had $900,000 in sales and accounts receivable of $350,000. XYZ's management has estimated that $9,000 in accounts receivable would be uncollectible.
Answers
Answer:
The journal entry to record bad debt expense should be:
December 31, 2019, bad debt expense
Dr Bad debt expense 9,000
Cr Allowance for doubtful accounts 9,000
Net account receivables = $350,000 - $9,000 = $341,000
The allowance for doubtful accounts is a contra asset account that decreases the balance of accounts receivable (balance sheet). Bad debt expense is included in the income expenses and decreases total sales.
The lengths of the sides of a triangle are 9, 12, and 18. Classify the triangle as acute, right, or obtuse.
Answers
Answer:
Step-by-step explanation:
Use Pythagorean theorem.
Assign the largest value to 'c'
If a² + b² = c² , then it is right triangle
If a² + b² > c², then it si acute triangle
If a² + b² < c² , then it is obtuse triangle
Here, a = 9 , b = 12 & c = 18
a² + b² = 9² + 12²
= 81 + 144
a² + b² = 225
c² = 18²
c² = 324
a² + b² < c²
225 < 324
So, 9, 12 , 18 form a obtuse triangle
What is the area of the rhombus shown below? AC=17 BD=15 AB=11.2 Answers: A. 255 square units B. 190.4 square units C. 16 square units D. 127.5 square units
Answers
Answer:
D. 127.5 square units
Step-by-step explanation:
AC=17
BD=15
AB=11.5
Diagonal (1&2) are given, base of the rhombus is also given.
Height is not given
Area of a rhombus given the diagonals
=1/2×d1×d2
Where,
d1=AC=17
d2=BD=15
Area of a rhombus=1/2×d1×d2
=1/2×17*15
=1/2×255
=127.5
D. 127.5 square units
Answer:
D for sure
Step-by-step explanation:
A new pair of sunglasses is regularly priced at $130.00. What
will the price be after at 35% discount? *
Answers
Answer:
$ 84.50
Step-by-step explanation:
Regular price = $130
Discount = 35% of 130
= [tex]\frac{35}{100}*130[/tex]
= 0.35 * 130
= $ 45.50
Price of the sunglasses after discount = Regular price - discount
= 130 - 45.50
= $ 84.50
Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Simplify Q + S - T.
-8m - 7n - 3
8m + 7n - 3
-8m + 7n - 3
8m - 7n - 3
Answers
Answer:
The second: 8m + 7n - 3Step-by-step explanation:
Q = 7m + 3n,
R = 11 - 2m,
S = n + 5,
T = -m - 3n + 8.
Q + S - T = 7m + 3n + (n + 5) - (-m - 3n + 8)
Q + S - T = 7m + 3n + n + 5 + m + 3n - 8
Q + S - T = 8m + 7n - 3
Please explain how you got your answer also. A class has 21 girls and 12 boys. What is the probability that a boy's name is drawn at random?
12 over 21
21 over 12
12 over 33
21 over 33
Answers
The following table shows the possible meal combinations when choosing an entrée and a side dish at Marty's Diner. Side Dish Entrée burger with salad burger with fries burger with fruit tacos with salad tacos with fries tacos with fruit pizza with salad pizza with fries pizza with fruit What is the probability of selecting a combination that includes a burger or a salad? Enter your answer as a reduced fraction, like this: 3/14
Answers
Answer:
5/9
Step-by-step explanation:
There are 9 total combinations and 3 of them include a burger, 2 of them that have salad but not a burger. If you add them together it equals 5/9
The probability of selecting a combination that includes a burger or a salad is 5/9
Since the total of 6 outcomes include fries or fruit as the side dish.
There is a total of 9 possible meal combinations. A person must choose an Entree and a side dish.
The Entrees consist of burgers, tacos, and pizzas.
The side dishes consist of salad, fries, and fruit.
To find the number of combinations consisting of fries or fruit, we calculate the individual combinations.
With fries as side dish, which can choose a burger, a pizza or a taco as your Entree.
There are 3 combinations each, there are a total of 6 combinations with fruit or fries as the side dish.
There are 9 total combinations and 3 include a burger, rest 2 that have salad but not a burger.
then probability = 5/9
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ2
Please help meeeee thanks
Answers
Answer:
A)21
B) 70
C)89
Step-by-step explanation:
Answer:
b=70°a=21°c= 89°Step-by-step explanation:
b=180° - 110° =70°
a = 21°
C= 180° - b - a= 180 - 70 - 21= 89°
[tex]good \: luck[/tex]
Help me, please. What is the length of BC?
Answers
Answer:
2.1
Step-by-step explanation:
Length of the segment BC can be obtained by using cosine law.
cos A =(b^2 + c^2 - a^2) /2bc
cos 20° = (5^2 +6^2 - a^2) /(2*5*6)
0.9396926208 = (25 + 36 - a^2) /60
0.9396926208 * 60 = 61 - a^2
56.3815572 = 61 - a^2
a^2 = 61 - 56.3815572
a^2 = 4.6184428
a = 2.14905626
a = 2.1 units
Hence, lenght of BC = 2.1 units.
Solve for f. -3/4f = 5/4
Answers
Answer:
f = -5/3
Step-by-step explanation:
-3/4f = 5/4
Multiply each side by -4/3 to isolate f
-4/3*-3/4f = 5/4*-4/3
f = -5/3
Answer:
Hey there!
We have -3/4f=5/4
Multiply both sides by -4/3, to cancel out the -3/4.
f=-5/3
Hope this helps :)
The sum of 54 anid six times a number is 216. Find the number.
Answers
Answer:
x = 27
Step-by-step explanation:
Step 1: Write out equation
54 + 6x = 216
Step 2: Solve for x
6x = 162
x = 27
Answer:
x=27
Step-by-step explanation:
54+6x=216
Collect like terms:
6x=216-54
6x=162
Divide both sides by the coefficient of x
6x\6=162\6
x=27
Find the number if: 5/9 of it is 90 PLEASE EXPLAIN
Answers
Answer:
The number is 162Step-by-step explanation:
Let the number be x
5/9 of the number is 90
Which is
5/9 of x = 90
5/9 × x = 90
5/9x = 90
Multiply through by 9
That's
5x = 810
Divide both sides by 5
5x/5 = 810/5
x = 162
Therefore the number is 162
Hope this helps you
Selectie correct answer.
How many solutions for x does the following equation have?
2(x + 4) - 1 = 2x + 7
OA. 7
OB.
1
Ос.
infinite
OD. 0
Reset
Next
Answers
Answer:
OD.0
Step-by-step explanation:
because 2(X+4)-1 = 2x+7
or, 2x+8-1 = 2x+7
or, 2x+7= 2x+7
and it cancels out eachother so it will be 0
The equation 2(x + 4) - 1 = 2x + 7 has infinite solutions
How to determine the number of solutions?The equation is given as:
2(x + 4) - 1 = 2x + 7
Open the bracket
2x + 8 - 1 = 2x + 7
Evaluate the difference
2x + 7 = 2x + 7
Both sides of the equation are the same.
Hence, the equation has infinite solutions
Read more about equation solutions at:
https://brainly.com/question/18760518
A rectangle has a long side of 8.5 cm. Its perimeter is 24 cm How long is one side?
Answers
Answer:
(8.5+x)×2=24
8.5+x=12
x=3.5
Answer:
Breadth = 3.5cm
Step-by-step explanation:
Perimeter = 2L + 2B
24cm = 2(8.5) + 2B
2B = 24 - 17
B = 7÷2
B = 3.5
I SHALL NAME THEE BRAINLIEST!! (: Pls help me. (#1) 4A - 1 = 3A + 8 solve and check (#2) 1 + F + 3 + F = F + 5 solve and check (#3) Naomi had B bushels of grain. After Ruth brought her 5 more bushels of grain, she had 11 bushels in all. How much grain did Naomi have to start with? Write an equation and solve.
Answers
Answer: #1 A=9 #2 Naomi started with 6 bushels
Step-by-step explanation:
4A-1 = 3A + 8 Subtract 3A from both sides 4A -3A -1 = 3A-3A + 8 to get
A -1 = 8 Add 1 to both sides A -1 + 1 = 8 + 1 to get
A = 9 . Check by substituting 9 in place of A
4(9) - 1 = 3(9) + 8 multiply: 4×9 = 36 . 3×9=27
36 -1 = 27 + 8 do the subtraction and addition
35 = 35 .True.
Part 2: The original number plus 5 equals 11
B + 5 = 11 . . Subtract 5 from both sides
B +5 -5 = 11 -5
B = 6
Check: If she started with 6 bushels and added 5 bushels, she would have 11 bushels all together. True.
Angle ABC is bisected by line segment AD. If angle ABC measures 108° and one of the smaller angles created by line AD measures (5x+4), what is the value of x?
Answers
Answer:
x = 10
Step-by-step explanation:
One of the smaller angles that is created by the angle bisector measures 5x+4.
An angle bisector cuts an angle into two equal parts. So, 5x+4 = 1/2 (108) or
2(5x+4)=108 (divide both sides by 1/2)
10x+8=108 (distribute)
10x=100 (subtract 8 from both sides)
x=10 (divide by 10)
x=10
FIRST ANSWER BRAINLEST!!!! The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one point for free throws and two or three points for field goals. They scored a total of 184 points during the game. If they made 22 free throws, how many three-point field goals did they make.
Answers
Answer:
They made 36 three-point field goals
Step-by-step explanation:
For free throws , we have one point each.
So here, the total points they made from free throws is 22 * 1 = 22 points
So the number of points made from field goals would be 184-22 = 162 points
So the issue we have now is knowing the number of 3-point field goals that was made.
How can we get this?
Remember they made 85 baskets? so if we subtract the number of free throws, then we can have the number of field throws and that is 85-22 = 63
Now, let the number of 2 points throws be x and the number of 3 points throws be y
From our earlier analysis;
x + y = 63 ••••••••• (i)
Now the total number of three pointers would be 3 * y = 3y and the total number of two pointers would be 2 * x = 2x
Adding both gives a total of 162
Thus;
2x + 3y = 162 •••••••• (ii)
So we have two equations to solve simultaneously.
From equation 1, we can say that;
x = 63-y
Let’s substitute this into equation 2
2(63-y) + 3y = 162
126 -2y + 3y = 162
126+y = 162
y = 162-126
y = 36
This means that they made 36 three-point field goals
find the length here
Answers
Answer:
The correct answer is
D) 66.35
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
So in shorthand notation:
sin = o/h cos = a/h tan = o/a
Often remembered by: soh cah toa
Answer:
C
Step-by-step explanation:
BC is the opposite of angle 54, adi is AC=39
tan54=opp/adj.
BC=AC(tan54)
BC=39(1.376)=53.6789 close to 53.68
Twelve less than the product of three and a number is less than 21
Answers
Answer:
11
Step-by-step explanation:
3 times 11 gives you 33 which would be the product
3 x 11 = 33
subtract the 12(twelve) from the 33(product)
33 - 12 = 21
School administrators asked a group of students and teachers which of two
school logo ideas, logo A or logo B, they prefer. This table shows the results.
Logo A
Logo B
Total
Students
67
33
100
Teachers
11
14
25
Total
78
47
125
Are being a student and preferring logo A independent events? Why or why
not?
O A. No, they are not independent, because Astudent) = 0.8 and
A student|logo A) = 0 62.
B. No, they are not independent because P(student) = 0.8 and
A student logo A) 0.86.
C. Yes, they are independent because P(student) = 0.8 and
A student logo A) 0.86
D. Yes, they are independent, because student) = 0.8 and
A student logo A) = 0.62
Answers
Answer:
The events are not independent
[tex]P(S) = 0.8[/tex]
[tex]P(Logo\ A) = 0.62[/tex]
Step-by-step explanation:
Given
--------------Logo A --- Logo B ---Total
Students ----- 67----------33--------100
Teachers ----- 11 ----- ----- 14 ----- 25
Total ----- ------78-----------47--------125
Required
Determine if being a student and preferring logo A are independent events
Let P(S) represent probability of being a student
Let P(Logo A) represent probability of preferring logo A
Let P(S n Logo A) represent probability of being a student and preferring logo A
To determine if they are independent, we have to calculate
P(S), P(Logo A) and P(S n Logo A)
P(S) = Total Students / Total Population
[tex]P(S) = 100/125 = 0.8[/tex]
P(Logo A) = Total that prefers Logo A / Total Population
[tex]P(Logo\ A) = 78/125 =0.624[/tex]
P(S n Logo A) = Number of students that prefer logo A / Total Population
[tex]P(S\ n\ Logo\ A) = 67/125 = 0.536[/tex]
If the events are independent, then the following condition must be satisfied
[tex]P(S\ n\ Logo\ A) = P(S) * P(Logo\ A)[/tex]
Substitute the values of P(S), P(Logo A) and P(S n Logo A)
[tex]0.536 = 0.8 * 0.536[/tex]
[tex]0.536 \neq 0.4288[/tex]
Since they are not equal, then the events are not independent
[tex]P(S) = 0.8[/tex]
[tex]P(Logo\ A) = 0.62[/tex]
Answer: b
Step-by-step explanation: just took the quiz
Helppp!!!! please!!!
Answers
Answer:
Option B
Step-by-step explanation:
Area of kite = product of 2 diagonals, p and q / 2
here, p = 10 + 10 = 30 feet
q = 3 + 3 = 6 feet
∴ Area = 30 × 6 / 2
90 ft^2
Hope it helps
plz mark as brainliest!!!
Answer:
[tex]\boxed{Area = 90 ft^2}[/tex]
Step-by-step explanation:
Diagonal 1 = p = 3+3 = 6 ft
Diagonal 2 = q = 10+20 = 30 ft
Area = [tex]\frac{pq}{2}[/tex]
Area = [tex]\frac{(6)(30)}{2}[/tex]
Area = 3*30
Area = 90 ft^2
21 POINTS!!!!!!!!!!!!!!!!! HEEEELPPPPPPP
Answers
√ 26
The answer for the height BD is 7/√ 26 units
Explain
A . AC= √ (1-2)^2+(6-1)^2
√ (-1)^2+(5)^2
√ 1+25
√ 26
Find the area of a trapezoid with bases of 5 feet and a 7 feet, and a height of 3 feet a. 18 b. 36 c. 72 d. 40
Answers
Answer:
The answer is option A. 18Step-by-step explanation:
Area of a trapezoid = 1/2(a + b) × h
where
h is the height
a and b are the other sides
From the question
h = 3 feet
a = 5 feet
b = 7 feet
Area = 1/2(5+7) × 3
= 1/2 ( 12) × 3
= 6 × 3
The answer is
= 18
Hope this helps you.
helppp!!!! please!!!
Answers
Answer:
72
Step-by-step explanation:
Angle XYZ is an inscribed angle. An inscribed angle is equal to half of its arc.
144/2 is 72.
The value of XYZ is 72.
graph the parobola. y=4x^2-7
Answers
Answer:
Step-by-step explanation:
y=4x^2-7
vertex(0,-7)
Dependent variable C depends on both independent variable A and independent variable B. Which statement is correct?
A: the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed using the same scatterplot.
B: the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed, but they must analyzed using separate scatterplotd.
C: Only the relationship between independent variable A and dependent variable C can be analyzed a scatterplotd.
D: Only the relationship between independent variable B
and dependent variable C can be analyzed a scatterplotd.
Answers
Answer:
B
the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed, but they must analyzed using separate scatterplotd
Answer:
its B
Step-by-step explanation: