Answer:
fg(x) = 2x² - 1
gf(x) = 4x²-12x +10
Step-by-step explanation:
Given the functions f(x) = 2x-3 and g(x) = x^2 + 1
a) f(g(x)) = f(x²+1)
f(x²+1) = 2(x²+1) -3
f(x²+1)= 2x²+2 -3
f(x²+1) = 2x² - 1
fg(x) = 2x² - 1
Hence function fg(x) is 2x² - 1
b) gf(x) = g(2x-3)
g(2x-3) = (2x-3)² + 1
g(2x-3) = (2x-3)(2x-3) + 1
g(2x-3) = 4x²-6x-6x+9 + 1
g(2x-3) = 4x²-12x +10
gf(x) = 4x²-12x +10
In a right triangle, the length of one leg is 7 ft. The length of the other leg is 10 ft. What is the length of the hypotenuse?
[tex]A 149 ft. Squared \\B 51 ft. Squared\\C 17 ft\\D 289 ft. Squared[/tex]
Answer:
12^2: 7^2 + 10^2
49 + 100 = 149
12^2: 12 x 12 = 144 close enough
Step-by-step explanation:
12 is your answer
Find the area of the given shape?
Answer:
28
Step-by-step explanation:
Area for a triangle is
1/2(bxh) B-Base H-Height
So
1/2(7x8)
1/2(56)
=28
In figure find the value of x triangle PQR
20 POINTSSSS
Answer:
Divide
Step-by-step explanation:
what the answer of ½ ÷ ½
Answer:
its 1
Step-by-step explanation:
Parallelogram FIRE
Given:
[tex]fi = (3x - 5) \: cm[/tex]
[tex]ir = (2y - 7) \: cm[/tex]
[tex]re = (x + 7) \: cm[/tex]
[tex]ef = (y + 3) \: cm[/tex]
a. What is the value of x?
b. How long is FI?
c. What is the value of y?
d. How long is EF?
e. From your answers in b and d, what is the perimeter of parallelogram FIRE?
Answer:
See the solutions below
Step-by-step explanation:
First note that the opposite side of a parallelogram are equal, hence;
For Parallelogram FIRE
fi = re
ef = ir
Given
fi = (3x-5)cm
ir = (2y -7)cm
re = (x+7)cm
ef = (y+3)cm\
a) If fi = re, then;
3x - 5 = x+7
3x - x = 7+5
2x = 12
x = 12/2
x = 6
b) Since FI = 3x - 5
FI = 3(6) - 5
FI = 18 - 5
FI = 13cm
c) Also ef = ir
y+3 = 2y - 7
y - 2y = -7-3
-y = -10
y = 10
d) EF = y+3
EF = 10 +3
EF =13cm
e) Perimeter of the parallelogram = FI + IR + RE + EF
Perimeter of the parallelogram = 13cm + 13 + 13cm + 13cm
Perimeter of the parallelogram = 52cm
Mhnaifa can you please help?
Answer:
1: 9
2: i dont know sorry
3: 21/2
Step-by-step explanation:
1: know that the bottom portion of the triangle is 18 the bottom left is 12 and the top left is 6. Now you could say that its six because they look the same size but we cant be sure, and six isnt an option. i dont know how to solve so we're using process of elimination so bare with me. we alread have 12 and 18 and theyre way bigger, it cant be 11 because it wouldnt be that small. so in my mind its 9.
2: n/A
3: because i said so
Answer:
#1
AQ/QC = AP/PBAQ / 18 = 6 / 12AQ = 18/2AQ = 9Option D
#2
x/ 12 = 10 / 24x = 12*10/24x = 5#3
(x - 8)/5 = 2/42(x - 8) = 52x - 16 = 52x = 21x = 21/2Option B
what affects the mobility of factor of production
Answer:
Domestic factor mobility. refers to the ease with which productive factors like labor, capital, land, natural resources, and so on can be reallocated across sectors within the domestic economy. Different degrees of mobility arise because there are different costs associated with moving factors between industries.
-1/2(-3y+10) combing like terms
Answer:
3/2y - 5
Step-by-step explanation:
BRAINLIEST Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 6,700 pounds of fish? 2.5% 5% 15.87% 31.74%
Answer:
I think it is C 15.87%
Step-by-step explanation:
please help with these problems!! It’s getting really late and they’re due !!
Answer:
b = 9 inches
Step-by-step explanation:
Given that,
The area of triangle LMN = 36 inch²
The height of the triangle, h = 8 inches
We need to find the base of the triangle. The formula for the area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh\\\\b=\dfrac{2A}{h}\\\\b=\dfrac{2\times 36}{8}\\\\b=9\ inches[/tex]
So, the base of the triangle is equal to 9 inches.
Find the value of x that makes the equation true
3 ( x- 8 ) + 2x = 76
Answer:
x = 20
Step-by-step explanation:
3 (x-8) +2x = 76
3x - 24 +2x = 76
3x+2x = 76+24
5x = 100
x = 20
Write an EQUATION that represents what is seen in the figure.
Step-by-step explanation:
x°+55°+40°=180°
x=180-95
×=85°How to simpfly fractions?
-Step by step
-Answer 15/36
Answer:
5/12
Step-by-step explanation:
15÷3/36 ÷3
the answer is 5/12
Answer:
5/12
Step-by-step explanation:
15/36 ÷ 3
5/12
mark mope brainliest
Find the value of x in the triangle shown below.
C =
56
31
x
A space shuttle travels at 2.6 x 10,000 feet per second. An hour is 3.6 x 1,000 seconds. This expression can be used to find the number of feet the space shuttle travels in an hour. How many feet does the shuttle travel in an hour?
Answer:
7.22 feet
Step-by-step explanation:
From the question,
s = d/t................. Equation 1
Where s = speed of the space shuttle, d = distance traveled by the shuttle in an hour, t = time taken to travel the distance
make d the subject of the equation,
d = s×t.................... Equation 2
Given: s = 2.6×10000 feet per seconds, t = 1 hour = 3.6×1000 seconds.
Substitute these values into equation 2
d = (2.6×10000)/(3.6×1000)
d = 26000/3600
d = 7.22 feet.
Hence the shuttle travels 7.22 feet in an hour
Translate the sentence into an equation.
Two more than the quotient of a number and 9 is equal to 8.
Answer:
it would be (9/n )+ 2 = 8
Step-by-step explanation:
I hope this is right :)))
Please help :)
A sample of 60 Grade 9 students' ages was obtained to estimate the mean age of all Grade 9 students. X = 15.3 years and the population variance is 16.
a. What is the point estimate for μ?
b. Find the 95% confidence interval for μ.
C. Find the 99% confidence interval for μ.
d. What conclusions can you make based on each estimate?
(No links or you get reported)
help me pls, i’ll mark brain list.
Answer:
1.43 minutes to get same height
Step-by-step explanation:
Equation
180 - 8x = 160 + 6x
14x = 20
x = 1.43 minutes
Which of the following is/are correct in the case of free fall motion?
(I) Free fall is a linear motion.
(II) Free fall is a uniformly accelerated motion.
(III) Free fall is a motion under gravity alone.
A) I and II
B) I only
C) II only
D) I, II, and III
Answer:
D) all are true
I think it's helps you
please help!! and please show work if possible! :)))
Answer:
Step-by-step explanation:
No they are not similar triangles.
In similar triangles, corresponding side will be in same ratio.
[tex]\frac{KM}{NC}=\frac{36}{28}=\frac{9}{7}\\\\\\\frac{KL}{PN}=\frac{24}{16}=\frac{3}{4}\\\\[/tex]
Corresponding sides are not in same ratio. So these are not similar triangles
A triangle has three angles that measure 50 degrees, 40 degrees and
2x. What is the value of x ?
Answer:
45 degrees
Step-by-step explanation:
since a triangle has angle that add up to 180.Take 50 add with 40 and then divide by 2
Select all the expressions that equal 6-10 Write out each solution.
A. 65 6²
5
B.
C. (6)
63
D.
67
E.
Answer:
i think c and e and d (im sorry if its wrong)
If the mean of this distribution is 13.7, which could NOT be the median
A.9
B.14
C.16
D.18
Answer:
A
Step-by-step explanation:
Mark as brainllest
Answer:
A
Step-by-step explanation:
give fitzroywilliamsjr6 Brainllest plz
HURR FAST MARK AS BRAINIEST PLS
Answer:it would be c
Step-by-step explanation:
Answer:
C: {-2, -1, 0, 1, 2, 3}
please help me !!!!!!!!!
Answer:
D. The probability of selecting an orange is ³/₅.
Step-by-step explanation:
A is incorrect because there would be 4 apples combined (3 from bag one, 1 from bag two). That makes the chance of selecting an apple 2/5 (40%), not 3/10 (30%).
B & C are incorrect because 4/10 (40%) is less than 6/10 (60%)
That leaves D, which state that you have a 60% (3/5) chance selecting an orange, as our answer. That is correct as 3/5 = 6/10 = 60%.
Ratio tables what’s the missing ratio
Answer:
16
Step-by-step explanation:
To solve we must first find what the given ratios equal
8/5 = 1.6
40/25 = 1.6
48/30 = 1.6
this means that x/10 = 1.6
To find x... multiply both sides of this equation my 10 to get x alone
x=1.6×10
x=16
Answer:
16
Step-by-step explanation:
I Hope this helps!
Line A has the equation 4x+3y=12. Line B is parallel to Line A and has a y- intercept of 2. What is the equation of the Line B in slope-intercept form?
Answer: A: y= -4/3x + 2
Step-by-step explanation: By working out the problem this is what I ended up with.
Math help me please/////
Answer:
C.
Step-by-step explanation:
A and D are incorrect because there is one outlier in the lower graph, and there are no signs of clusters on the graph, making B wrong as well. This leaves the only answer, C, which makes sense because there is a positive correlation of a line.
G. 9−7+{−2+3−[4−2+(3+2)−7]+8} h. – {- [ (14 - 7) - (32 - 41)]} i. – [(-8 + 3) + (- 21 – 12)] j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } k. (9 + 7 – 2 + 4) – ( 9 -12 )
Answer:
g. 9−7+{−2+3−[4−2+(3+2)−7]+8} = 11
h. – {- [ (14 - 7) - (32 - 41)]} = + 16
i. – [(-8 + 3) + (- 21 – 12)] = + 38
j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } = 506
k. (9 + 7 – 2 + 4) – ( 9 -12 ) =21
Step-by-step explanation:
These questions are solved by solving the small brackets, then square brackets and then the curly brackets.
g. 9−7+{−2+3−[4−2+(3+2)−7]+8}
= 9−7+{−2+3−[4−2+(5)−7]+8} Solving inner small brackets
= 9−7+{−2+3−[9−2−7]+8} Solving outer square brackets
= 9−7+{−2+3−0 +8} Solving curly brackets
=9−7+{9} Adding like terms ( adding positive terms)
= 18-7
= 11
h. – {- [ (14 - 7) - (32 - 41)]}
= – {- [ (14 - 7) - (-9)]} Solving inner small brackets
= – {- [ (7) +9]} Solving inner small brackets
= – {- [ 16 ]} Solving outer square brackets
= – {- 16 } Solving curly brackets
= + 16 (-*-= +)
i. – [(-8 + 3) + (- 21 – 12)]
= – [(-8 + 3) + (- 33)] Solving inner small brackets
= – [(-5 - 33)] Solving inner small brackets
=– [( - 38 )] Solving outer square brackets
= + 38 (-*-= +)
j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 }
= 500 – {( 6 + 4 + 3 + 16 – 18 -10 – 2) – 5 } Solving inner small brackets
= 500 – {( 29 – 30) – 5 } Solving inner small brackets
= 500 – {( – 1) – 5 } Solving inner small brackets
= 500 – { – 6} Solving curly brackets
= 500 + 6 (-*-= +)
= 506
k. (9 + 7 – 2 + 4) – ( 9 -12 )
= (9 + 7 + 4– 2 ) – ( -3 ) Solving inner small brackets
= (20 – 2 ) – ( -3 ) Solving inner small brackets
= (18 ) – ( -3 ) (-*-= +)
= 18 +3
=21
Evaluate the expression (3.2)².
Answer:
36
Step-by-step explanation:
3*2=6
6^2=6*6
=36
10.24 will be the result after Evaluating the expression (3.2)².
What is an expression?In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations.
Given, the expression (3.2)².
For simplification calculate the value of the square of 3.2
Evaluation of the given expression = 3.2²
Evaluation of the given expression = 3.2 * 3.2
Evaluation of the given expression = 10.24
Therefore, After evaluating the expression (3.2)², the result will be 10.24.
Learn more about expression here:
https://brainly.com/question/24242989
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