Given:
The two functions are:
[tex]g(b)=5b-9[/tex]
[tex]h(b)=(b-1)^2[/tex]
To find:
The value of [tex](h\circ g)(-6)[/tex].
Solution:
We have,
[tex]g(b)=5b-9[/tex]
[tex]h(b)=(b-1)^2[/tex]
We know that,
[tex](h\circ g)(b)=h(g(b))[/tex]
[tex](h\circ g)(b)=h(5b-9)[/tex]
[tex](h\circ g)(b)=[(5b-9)-1]^2[/tex]
[tex](h\circ g)(b)=[5b-10]^2[/tex]
Putting [tex]b=-6[/tex], we get
[tex](h\circ g)(-6)=[5(-6)-10]^2[/tex]
[tex](h\circ g)(-6)=[-39-10]^2[/tex]
[tex](h\circ g)(-6)=[-49]^2[/tex]
[tex](h\circ g)(-6)=2401[/tex]
Therefore, the value of [tex](h\circ g)(-6)[/tex] is 2401.
Callie brushes her teeth three times each day. She leaves the water running. Is it reasonable to say that she uses 2 cups of water in one day? Explain
Answer: She uses more than 2 cups of water per day.
Step-by-step explanation:
It takes 2 minutes to brush your teeth and if you times that by 3 you get 6 so she spends 6 minuntes per day brushing her teeth and water runs fast. so if your leaving the water on for 6 mintues your filling up much more than 2 cups
What is the volume of this rectangular prism?
Jasper built a dollhouse for his younger sister.
A rectangular prism has a length of 24 inches, width of 8 inches, and height of 10 inches. A triangular prism has a triangular base of 24 inches and height of 6 inches. The height of the prism is 8 inches.
Which equation shows how to determine the volume of the dollhouse?
V = 24 (10) (8) + one-half (6) (24) (8)
V = 24 (10) (8) + one-third (6) (24) (8)
V = 24 (10) (8) + one-half (6) (24) (10)
V = 24 (10) (8) + one-third (6) (24) (10)
Answer:
It's A :)
Also can i please have brainliest :)
Answer:
A
Step-by-step explanation:
Help please and thank you
Answer:
1000
Step-by-step explanation:
well just round it to the nearest thousand
What is the sum of the interior angles of a 15-gon?
Answer:
2340 degrees
Step-by-step explanation:
Each triangle has an angle sum of 180 degrees, therefore the sum of interior angles of 15-gon will be 13×180=2340
Please answer both of you can
If a farmer sells 9.8 KL of apples and pears at the farmers market. 4/5 of this weight is apples,and the rest are pears. How many kl of pears did they sell the farmers market
Answer:
1.96
Step-by-step explanation:
A farmer sells 9.8 kl of apples and pears
4/5 of this weight is apples, while the rest are pears
Therefore the wight of pears can be calculated as follows
Let x represent the weight of pears
9.8= 4/5×9.8 + x
9.8= 0.8×9.8+x
9.8= 7.84+x
9.8-7.84= x
x= 1.96
Find 33⅓% of ⅘ of $4.50.
A shirt costs $20. A pair of pants costs 30% more than the shirts. How much do the pants cost?
Answer:the pants are 26 dollars
Step-by-step explanation:
20.00+30%= 26.00
30%=6.00
Please I need this will mark brainliest
im editing it i pressed send by accident
Answer:
8) x - intercept: (-7, 0)
y - intercept: (0, -7)
9) x- intercept: (4,0)
y- intercepts: ( 0, 8)
10) x- intercepts: (9,0)
y- intercepts: (0,3)
Step-by-step explanation:
Help me please lots of points for right answer
Answer:
V=75π
Step-by-step explanation:
V= πr^2h
V=π(5)^2(3)
V=75π
Please I Really need help with this my teacher would not help me ;-;
A positive integer whose actual value is less than |-6| and greater than |-4|.
Answer:
|-5| or 5
Step-by-step explanation:
The "|- |" means the absolute value of a number. One example of this is |-2| is 2. Now, with that being given, the absolute value or | | of |-6| is 6! The same applies for 4. So what positive number is between 4 and 6?
4, 5, 6!
5 is the answer as a positive integer, or you can say |-5|
Hope this helps!
seven and twenty seven hundredths as a decimal
Answer:
7.27
Step-by-step explanation:
edge 2020
p.s. pls mark brainliest, and have a good day! :)
Please put the explanation!
Answer:
60
Step-by-step explanation:
In order to get this answer, we must know that a triangle's angles add up to exactly 180. Also, Angles that intersect will have congruent, opposite sides. The last thing is that a line is = 180 degrees. So, the triangle with the 94 and the 142, you can use that. the angle next to the 142 is going to be 180-142 which is 38 and since the other angle is opposite 94, as well. when you add those up u get 132 and 180-132= 48 which is the missing angle for the far right triangle. then, you get the opposite of that angle, put that in the other triangle, do the same with the 72, and add those up to get 120 and since a triagle adds up to 180, 180-120 = 60. So, 60 is your missing angle. Cheers
Please help, i need it for a test, I'll give you brainliest :]
Answer:
Step-by-step explanation:
C
help me pls its hard for me atleast
Answer:
the awnser is 12 because you have to divide
Step-by-step explanation:
Answer:
([tex]12[/tex]) pastries in one hour.
Step-by-step explanation:
This problem involved the concept of rates. A rate is a way of expressing the amount of work done compared to the amount of time it took, to find the pace at which one does the work. To express a rate, the general format used is: ([tex]work:time[/tex])
Substitute in the given values:
[tex]30:2.5[/tex]
In the problem, one is asked to find how many pastries can be made in one hour. To find this value, divide the rate by (2.5). This will leave (1) on the time side, and the amount of work done on the (work) side.
[tex]30:2.5[/tex]
[tex]12:1[/tex]
([tex]12[/tex]) pastries in one hour.
an airplane traveled 1000 miles in 2 hours how long would it take that plane to travel 5000 miles if it travels at the same speed
5hours
6hours
7hours
10hours
12hours
Answer:
10 hours
Step-by-step explanation:
Create a proportion where x is the number of hours to travel 5000 miles
[tex]\frac{1000}{2}[/tex] = [tex]\frac{5000}{x}[/tex]
Cross multiply and solve for x
1000x = 10000
x = 10
So, it will take 10 hours.
What is the following product?
(V14 - 13) (V12+17)
O 2.42 +7V7-6-V21
O √14-6+7
O 26+ V21 - /15 - 10
O 2./42 - 21
Answer:
the trid one becasue
Step-by-step explanation:
To get the correct answer, you can count the total number of shaded tenths and the total number of shaded hundredths and then regroup.
There are 9 shaded tenths and 18 shaded hundredths. Regroup 10 hundredths into 1 tenth to get 10 tenths and 8 hundredths. Then regroup the 10 tenths in one whole, giving you 1 whole and 8 hundredths. The product is 1.08.
Another way to get the answer is to count the total number of shaded hundredths. There are 108 hundredths. Regroup 100 of them as one whole, giving you 1 whole and 8 hundredths.
Option A is correct, the product of (√14 - √3) (√12+√7) is 2√42-7√2-6-√21
What is Expression?An expression is combination of variables, numbers and operators.
We need to find the product of (√14 - √3) (√12+√7)
Let us apply distributive property to solve this
√14(√12+√7) - √3(√12+√7)
√14.√12 + √14√7 -√3√12-√3√7
√168 + √98 -√36 -√21
168 can be written as 4 times of forty two.
98 can be written as forty nine times of 2.
So we get
2√42-7√2-6-√21
Hence, Option A is correct, the product of (√14 - √3) (√12+√7) is 2√42-7√2-6-√21
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ7
A zoologist studies a population of 800 rabbits. He tags 160 rabbits at random, of which 37 have blue eyes. Based on this data, about how many rabbits in the population have blue eyes?
Answer:
185
Step-by-step explanation:
Population size = 800
Sample size = 160
Number of blue-eyed rabbit in sample = 37
The proportion of blue-eyed rabbit in the sample is :
p = number of blue eyed rabbit / sample size
p = 37 / 160 = 0.23125
Estimated number of blue eyed rabbit in population :
p * population size
0.23125 * 800
= 185
simplify the expression
Answer:
[tex](17^{1/7} )^{7}[/tex] = [tex]17^{1/7 * 7 }[/tex] = [tex]17^{1}[/tex] = 17
hope this answer helps you.....
Answer:
17
Step-by-step explanation:
[tex](17^{\frac{1}{7} })^{7} = 17^{\frac{1}{7} } 17^{\frac{1}{7} } 17^{\frac{1}{7} }17^{\frac{1}{7} }17^{\frac{1}{7} }17^{\frac{1}{7} }17^{\frac{1}{7} } = 17^{\frac{1}{7}+\frac{1}{7} +\frac{1}{7}+\frac{1}{7}+\frac{1}{7}+\frac{1}{7}+\frac{1}{7} }=17^{\frac{7}{7} } =17^{1} = 17[/tex]
Please Help ASAP!!!!!!!!
Y=x^(2)-12x+36
Please explain step by step
Step-by-step explanation:
♡︎♡︎♡︎♡︎♡︎♡︎♥︎♥︎♡︎♥︎
I need help, please anyone!
Plz help fill in the blanks the options are
108 sq ft
21 sq fr
22 sq ft
Answer:
12
9
21
Step-by-step explanation:
The top rectangle is L*W
L = 6
W = 2
Area = 6 * 2 square Feet
Area = 12 sq ft.
The Bottom figure is a square
Area = s * s
s = 3 feet
Area = 3 * 3 = 9 square feet
Total
12 + 9 = 21 square feet.
PLEASE HELP! I really really need help. If you can please help me with the answer.
Answer:
I believe it's 960
Step-by-step explanation:
Rect. Prism volume = 12 * 10 * 7 = 840
Pyramid = (12 * 10 * 3) / 3 = 120
Total = 840 + 120 = 960
8.2.AP-7
B
Find the measure of side c.
a = 26 m
C
C=
m (Round the answer to the nearest whole number.)
Answer:
c ≈ 40
Step-by-step explanation:
Using the sine ratio in the right triangle
sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{26}{c}[/tex] ( multiply both sides by c )
c × sin40° = 26 ( divide both sides by sin40° )
c = [tex]\frac{26}{sin40}[/tex] ≈ 40 ( to the nearest whole number )
A quadratic in factored form is given as (x + 5) (2x - 3) = 0, what are the solutions of this given equation?
X = and x =
Answer:
x = -5, x = 1.5
Step-by-step explanation:
If the two expressions multiplied together is 0, that means that one of the expressions would have to equal 0. This gives us two possible answers. Our two equations are now:
x + 5 = 0
2x - 3 = 0
We will first solve the first one!
To isolate x, we subtract 5 from both sides to get:
x = -5
Onto the second one!
We begin to isolate x by adding 3 to both sides.
2x = 3
Now we divide both sides by 2.
x = 3/2 or 1.5
Answer:
Step-by-step explanation:
The perimeter of a rectangular room is 24 meters.The width of the room is 4 meters. Find the length of the room.
Answer:
20 metes
Step-by-step explanation:
:)
In two or more complete sentences, compare the number of
x-intercepts in the graph of
f(x)=x2 to the number of x-intercepts in the graph of g(x)=−x2−5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Answer:
Step-by-step explanation:
You meant x^2, right?
We get the graph of g(x) through two transformations of the graph of f(x):
1. Reflect the graph of f(x) about the x-axis.
2. Translate the graph obtained in (1) 2 units down.
need help today!!!! plzs
Answer:
x=29
Step-by-step explanation:
cuz it's a 90 degree angle so 90-32 is 58 and divide it by 2 is 29 which would be x=29
50+50times 2 divided by zero add10 plus ur age then add 50
Answer: 420
Step-by-step explanation: