Answers
Answer:
[tex]f(8) = 81[/tex]
[tex](g\ o\ f)(x) = x^2 + 2x -4[/tex]
Step-by-step explanation:
Solving (a):
[tex]f(x) = x^2 + 2x +1[/tex]
[tex]g(x) = x - 5[/tex]
Solve for f(8)
We have:
[tex]f(x) = x^2 + 2x +1[/tex]
Substitute 8 for x
[tex]f(8) = 8^2 + 2*8 +1[/tex]
Solve
[tex]f(8) = 64 + 16 +1[/tex]
[tex]f(8) = 81[/tex]
Solving (b):
[tex](g\ o\ f)(x)[/tex]
This is solved by:
[tex](g\ o\ f)(x) = g(f(x))[/tex]
So, we have:
[tex]g(x) = x - 5[/tex]
[tex]g(f(x)) = f(x) - 5[/tex]
Substitute: [tex]f(x) = x^2 + 2x +1[/tex]
[tex]g(f(x)) = x^2 + 2x + 1 - 5[/tex]
[tex]g(f(x)) = x^2 + 2x -4[/tex]
Hence:
[tex](g\ o\ f)(x) = x^2 + 2x -4[/tex]
Related Questions
ZABC and ZORS are supplementary angles
If the measure of ZABC = 100", what is the
measure of ZORS?
mZORS = [?]
Answers
m<QRS = 80 degrees.
Supplementary angles = a total of 180 degrees. So if angle ABC = 100, angle QRS would = 80 degrees.
Please mark as brainliest :D
Answer:
Solution given:
<ABC+<QRS=180°[supplementary]
<QRS=180°-100°
<QRS=80° is your answer
The dot plots show the numbers of adult books purchased by customers at two different bookstores on one day
Which statement is supported by the dot plots?
Pls explain!!!
Answers
Answer:
H mean of data for store 1 is greater than mean for store 2
Step-by-step explanation:
mode for store 1 = 3
mode for store 2 = 2
range for store 1 = 6
range for store 2 = 6
mean for store 1 = 3.3125
mean for store 2 = 2.588
median for store 1 = 3
median for store 2 = 2
a computer repair company charges an hourly labor rate of $40 in addition to.the cost of oarts needed to.fic a computer. A sales tax rate of 5.5% is assessed on the cost of parts but not on the labor cost nancy had gee computer repaired by the company and the total bill came to $183.30!if it took 3. hours to.do the repair what was the cost of parts needed ti fix her comouter rounded to.the nearest whole.dollar write an equation and explain how yiu use it to find your answer
Answers
Answer:
Step-by-step explanation:
Parts + 3($40 labor)=183.30
parts + 120=183.30
parts=63.30 but it includes tax. To find costs of parts before tax you
63.30/1.055=60 so parts are $60
or to solve with one equation:
parts(1.055) + 3($40 labor) = 183.30
parts(1.055) + 120=183.30
parts(1.055)=63.30
Parts = 63.30/1.055
parts = 60
calcular el 20% de 50
Answers
Answer:
10
Step-by-step explanation:
HELPP PLEASEE
the rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point A, perpendicular to the front face. What will the dimensions of the rectangular cross section be?
A rectangular prism. The rectangular base has a length of 4 inches and width of 3 inches. The height of the prism is 6 inches. Point A is at the top of the rectangle with length 6 inches and width 3 inches.
4 inches by 6 inches
4 inches by 3 inches
3 inches by 6 inches
2 inches by 6 inches
Answers
Answer:
C (3 inches by 6 inches)
Step-by-step explanation:
Ryan surveyed parents. He found 3 out of every 5 parents vote. 450 parents eligible. How many parents will vote in the election?
Answers
The 4 in 153,458 has _______________ the value of the 4 in 192,946.
Answers
Answer:
The 4 in 153,458 has ten times more the value than the 4 in 192,946.
Step-by-step explanation:
400 and 40
400 ÷ 40 = 10
4. June's portfolio of stocks includes 177 shares of Parcher, 213 shares of Giaco
Household Goods, and 152 shares of Raxin Accounting. If Parcher pays yearly
dividend of $8.21 per share. Giaco Household pays $6.97 per share and Raxin
pays $11.44 per shares, how much does June earn in dividends per year?
Answers
please solve this
I will mark brainleistttttttttt
Answers
Answer:
-285
Explanation:
I did it on my calculator
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?
Answers
Choose the option that best answers the question. Paracelsus University has two kinds of professors: academic professors and professional professors. At Paracelsus University, 60% of the professors are academic professors, and 70% of the professors are tenured. If 90% of the professors at Paracelsus University are academic professors or tenured or both, then what percent of the professional professors there are tenured
Answers
Answer:
75%
Step-by-step explanation:
The computation of the percent of the professional professors there are tenured is shown below;
Given that
academic professors A = 60%
professors tenured P = 70%
professors at Paracelsus University = 90%
Based on the above information
As we know that 90% of the professors could be academic professors or tenured or both
so here we can say that the percent of academic professors is
= 60 + 70 - 90
= 40
Therefore professors tenured will be
= 70 - 40
= 30
Now the percentage of professional professor that is tenured is
= 30 ÷ 40 × 100
= 75%
Please helpppppppppppppppppppp
Answers
Answer:
[tex]8( 4 \sqrt{7} - \sqrt{18} ) = 8(4 \sqrt{7} - 3 \sqrt{2}) = 32 \sqrt{7} - 24 \sqrt{2} [/tex]
Answer:
the answer is
[tex]32 \sqrt{7} - 24 \sqrt{2} [/tex]
5 + (1/7)b = -2 find what b equals
Answers
Answer:
b= -49
Step-by-step explanation:
Well first isolate the number with the variable by performing inverse operations
1/7b= -7
now multiply by 7 on each side to isolate the variable.
b= -49
B is negative 49
Determine the point estimate. An article in an educational journal discussing a non-conventional high school reading program reports a 95% confidence interval of (520 , 560) for the average score on the reading portion of the SAT. The study was based on a random sample of 20 students and it was assumed that SAT scores would be approximately normally distributed. Determine the sample mean that was used to build this confidence interval.
Answers
Answer:
Step-by-step explanation:
CI ( 95 % ) means α = 5 % α = 0,05 α /2 = 0,025
If we have a normal distribution and build a CI by symmetry such CI has as a middle point the mean in this case
CI 95 % = ( 520 ; 560 )
the mean is (520 + 560 ) / 2
mean = 540
ANSWER THIS PLEASE ILL GOVE YOU BRAINLIEST PLEASE SHOW ME HOW TO DO IT:(
Answers
36/4= 9
100/4 =25
Answer = 9/25
B 33/90 =11/30. = 0.3666... (33 comes from 36-3)
C 36/100=9/25. =0.36
pls help! i’m giving brainliest :)
Shonda is making cookies with her family. They mix 2 cups of flour with a half cup of sugar. How many cups of sugar will they need if they used 8 cups of flour?
Answers
buys 5 apples for 2.60 dollars how much does one apple cost
Answers
Answer:
One apple cost $0.52.
Step-by-step explanation:
$2.60/5 = $0.52
$0.52 * 5 = $2.60
716x7 multiply with expanded form
Answers
Answer:
The expanded form is y=716x7
Step-by-step explanation:
Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 5,325 in expanded notation form is 5,000 + 300 + 20 + 5 = 5,325.
Find the value of x in the triangle shown below 9 3
Answers
Answer:
x = 9.4868
Step-by-step explanation:
For this problem we can use the Pythagorean Theorem
Pythagorean theorem = [tex]a^2+b^2=c^2[/tex]
IN THIS CASE C = X
A and B are the side and base lengths of a right triangle.
C is the Hypotenuse side.
[tex]9^2+3^2=c^2[/tex]
Solve...
81 + 9 = [tex]c^2[/tex]
90 =[tex]c^2[/tex]
[tex]\sqrt{90}[/tex] = c
c = 9.4868
Angle 1 angle 2 and angle 3 I need answers to
Answers
Answer:
Step-by-step explanation:
Angle 1=24°
Angle 2=90°
Angle 3=90-24= 66°
The average price for deodorant is defined by the linear regression line: y equals 0.046 x plus 2.664 where x represents the number of years since 2010.
If this trend continues, when will the average price be $3.63
(Round off to the appropriate year)
Answers
Answer:
2031
Step-by-step explanation:
3.63=0.046x+2.664
0.966=0.046x
21=x
2010+21=2031
A book had length of 5 inches and a width of 8 inches what is the area of the book
Answers
An expression is shown.
12. 12. 12. 12 +7(3-3-3-3+3)
Which of the following shows this expression written using exponents?
А 4^12 + 7 (53)
B 4^12 + 7 (43+3)
C 12^4+7 (3^5)
D 12^4 +7 (3^4+3)
Answers
Answer:
im pretty sure its D :) hope this helps you out.
find the tax (7%) paid on $99 sneakers
Answers
you just multiply $99 by .07 since that’s the percentage
Answer:
6.3
Step-by-step explanation:
99(.07)=6.3
original price was 92.7 + 6.3 gives you 99
Which product is less than 5/8 help l will give you brainlest
Answers
Answer:
4/3 x 5/8 is correct
Step-by-step explanation:
Answer: C 7/10 * 5/8
Step-by-step explanation:
4/3 * 5/8 = 20 / 24 = 5 / 6
3/2 * 5/8 = 15 / 16
7/10 * 5/8 = 35/80 = 7 / 16
9/7 * 5/8 = 45 / 56
5/8 = 10/16
7/16 < 10/16
7/16 < 5/8
Find the surface area of the solid figure.
Answers
Answer:
SA=528 cm²
Step-by-step explanation:
[tex]SA=2(\frac{1}{2} )(16)(6)\\\\+2(10)(12)\\\\+16(12)\\\\SA=528 cm^{2}[/tex]
hope it helps
have a great day!!
The age of a mother is three times the age of her son. If the difference between their
ages 20 years find their present ages.
Answers
Answer:
[tex]Mother = 30\ years[/tex]
[tex]Son = 10\ years[/tex]
Step-by-step explanation:
Given
[tex]M = Mother[/tex]
[tex]S = Son[/tex]
From the first statement:
[tex]M = 3S[/tex]
From the second:
[tex]M - S = 20[/tex]
Required
Find M and S
We have:
[tex]M = 3S[/tex] and
[tex]M - S = 20[/tex]
Substitute [tex]M = 3S[/tex] in [tex]M - S = 20[/tex]
[tex]3S -S =20[/tex]
[tex]2S = 20[/tex]
Divide both sides by 2
[tex]S = 10[/tex]
Substitute [tex]S = 10[/tex] in [tex]M = 3S[/tex]
[tex]M = 3 * 10[/tex]
[tex]M = 3 0[/tex]
Hence;
[tex]Mother = 30\ years[/tex]
[tex]Son = 10\ years[/tex]
The formula v= u + at can be used to calculate
Rearrange the formula to make u the subject.
Answers
Answer:
u = v - at
Step-by-step explanation:
v = u + at
v - at = u + at - at
v - at = u
u = v - at
What is the sum? Keep your answer in scientific notation.
3 x 10^6 and 3 x 10^6
Answers
Answer:
9 x 10^12
Step-by-step explanation:
for multiplying scientific notation, you multiply the numbers (3 x 3) and add the exponents together (6 + 6) to get 9 x 10^12
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Answers
Answer:
Step-by-step explanation: