Answers
Step-by-step explanation:
(g o f)(x)
= g(x² + 2x - 4)
= 3(x² + 2x - 4) + 1
= 3x² + 6x - 11.
G(x) = 3x + 1
Find g(f(x))
- when it says g(f(x)), this means that you plug in the equation or value you were given for f(x) into EVERY x-value seen in the g(x) equation.
-in the g(x) equation (3x + 1) you were given ONE x-value.
So...
-you replace the x with the f(x) equation which is, x^2 + 2x - 4 (as shown below)
g(f(x)) = 3(x^2 + 2x - 4) + 1
• then distribute the 3 on the outside of the brackets with each number inside the bracket
= 3x^2 + 6x - 12 + 1
• add all the like terms up and you should get your final equation
= 3x^2 + 6x - 11 OR 3x^2 + 6x + (-11)
*Remember to always follow the BEDMAS or PEDMAS rule
I hope this helps. If you have any questions please let me know in the comment section.
Related Questions
Please help! It’s late! (One question)
Answers
Explanation: The triangles all have corresponding congruent angles. We can tell this by finding the third angle of the original problem: 96.
Then you can read each triangle by what it states. Angle A is congruent to the corresponding angles in the other triangles, which are Q and T. Angle B is congruent to the corresponding angles in the other triangles, which are R and U. Angle C is congruent to the corresponding angles in the other triangles, which are S and V.
We know heard similar since they have congruent angle measures in corresponding spots.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. % is Create a proportion using the form to represent the following word problem. 100 of 15 is 1-% of what number? 2 15 is 15% 1112 7 15 20 30 42 60 78 100 n
Answers
Answer: I'm sure that x should be 30. And 42 should be 7. Then you can figure out what percent 7 is of 30.
The table below shows all of the possible outcomes for rolling two six-sided number cubes.
A table with 36 possible outcomes.
How many possible outcomes are there?
Answers
Answer: 6
Step-by-step explanation:
Pretest: Unit 3
Question 16 of 20
For R(x) = 4x + 2 and g(x) = x2 - 6, find (f+g)(x).
A. 4x3 - 4
B. x2 + 4x - 4
O c. 4x2 - 16
O D. x2 + 4x+8
BMI
Answers
Answer:
(f + g)(x) = x² + 4x - 4 ⇒ B
Step-by-step explanation:
Let us solve the question
∵ f(x) = 4x + 4
∵ g(x) = x² - 6
→ We need to find (f + g)(x) which means f(x) + g(x)
∴ (f + g)(x) = f(x) + g(x)
∵ f(x) + g(x) = (4x + 2) + (x² - 6)
∴ f(x) + g(x) = 4x + 2 + x² - 6
→ Add the like terms
∵ f(x) + g(x) = 4x + x² + (2 - 6)
∴ f(x) + g(x) = 4x + x² + (-4)
→ Remember (+)(-) = (-)
∴ f(x) + g(x) = 4x + x² - 4
→ Arrange the terms from greatest power of x
∴ f(x) + g(x) = x² + 4x - 4
∴ (f + g)(x) = x² + 4x - 4
What is the length of the missing side of the right triangle?
A) 14 feet
B) 10 feet
C) 9.5 feet
D) 12 feet
(please give a brief explanation)
Answers
Answer:
10 feet
Step-by-step explanation:
You use the pythagorean theorem to find the missing side of a right triangle.
side^2 + side^2 = hypotenuse ^2
6^2 + 8^2 = X^2
36 + 64 = 100
square root of 100 = 10
number b subtracted from 98 is greater than -4
Answers
Answer:
B<102
Step-by-step explanation:
Lets write this as an equation: 98-b >-4
Lets simplify: -b>-102
Lets find out for b: b<102
BTW we switched signs because we are dividing by a negative.
Two cars start from the same place at the same time. One car travels west at 70 miles per hour and another travels cast at 20 miles per hour. In how many hours will they be 250 miles apart?
A. 50/9 hours
B. 225 hours
C. 25/9 hours
D. 5 hours
Answers
Answer
25/9
Step-by-step explanation:
70 + 20 =90
25/9 x 90 = 250
Solve the system of equations by the substation method. Y=4x+5 y=7x+6. Select the correct choice below and if necessary, fill in the answer box to complete your choice
Answers
describe the transformation g(x) = 2(х-4)^2 +2
Answers
Answer:
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
horizontal shift- right four units
vertical shift- up 2 units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: Stretched
GameStop paid $300 for a PS5. to make profit they sell it for 65% more than what they paid. how much will GameStop sell a PS5 for
Answers
Answer:
$495
Step-by-step explanation:
65% of $300= 195
300+195=$495
What is the value of the expression 2 x 7 + 9 − 3 ÷ 3?
a 24
b 22
c 32
d 36
Answers
Answer:
22?
Step-by-step explanation:
just follow PEMDAS. first multiply then divide then add then subtract
Kiera has $60 to spend online and plans to buy 8 pop songs and some e-books. The songs cost $1.29 each and
the books cost $9.95 each. Which inequality can be used to find the number of e-books, and what is the
greatest number of e-books, x, she can buy?
Answers
Answer:
she can buy 4 e books.
I don't know about the equation but there is the work below if that helps.
Step-by-step explanation:
8x 1.29= 10.32
60-10.32=49.68
49.68/ 9.95= 4.99
she can buy 4 books.
Answer:
um i have this question so i dont know
Step-by-step explanation:
A kid’s bicycle costs $110.00 at a department store, who is offering a 15% off coupon. Determine the final price of the bike after both the discount and 6.25% sales tax.
Answers
Answer:
100.375Step-by-step explanation:
so 110
110/100=1.1
*15
16.5
16.5 dollar coupon
ok then sales tax
1.1*6.25
6.875
sales tax is 6.875
110-16.5
93.5
93.5+sales tax 6.875
100.375
final price 100.375
hope this helps!!
ON THE WAY TO THEIR NEW HOME, RANDY'S FAMILY DROVE 425 KM IN 5 HRS, WHAT WAS THEIR AVERAGE SPEED PER HR?? PLEASE HELP! ( THIS IS URGENT) PLEASE HELP!
Answers
Answer:
85km/h (km per hour)
Step-by-step explanation:
425/5
85km/h
Angelica has 15 comic books, and each
month she buys 3 more comic books.
Write an equation representing the
number of comic books c she has at the
end of any month m?
Answers
Answer:
15 + 3m = c i think is suitable
Write an equation of the line in slope-intercept form given the graph below.
(2.1)
(0, 2)
Answers
Answer:
y = -0.5x + 2
Step-by-step explanation:
m=(y2−y1)/(x2−x1)
m=(1-2)/(2-0)
m (slope) = -1/2 or -0.5
y = mx + b (we need b now, y-int)
1 = -0.5(2) + b
b - 1 = 1
b = 2
Now we have the slope (m) and the y-intercept (b), we can rewrite it as such:
y = -0.5x + 2
Hope this helped!
*Remember the equation of a line in slope-intercept form is y=mx+b. In this problem, we found the slope and y-intercept.
If 45% of a number , e is 180 , what is 95% of e
Answers
Answer:
380
Step-by-step explanation:
Find 1% of e:
180 / 45 = 4
Find 95% of e:
4 * 95 = 380
On Monday, Sean bought 3 cookies and 5 cakes and spent $78.75. On Tuesday, Sean bought 8 cookies and 2 cakes and spent $40.
Find the price for one cookie and one cake.
Answers
Answer:
1 cookie = $1.25 1 cake = $15
Step-by-step explanation:
set up a system of equations:
let x = 1 cookie
let y = 1 cake
3x + 5y = 78.75
8x + 2y = 40
I multiplied the first equation by 2 to get: 6x + 10y = 157.50
I multiplied the second equation by -5 to get: -40x - 10y = -200.00
If you add both equations, the y-terms will be eliminated
-34x = -42.50
x = 1.25
Plug in 1.25 into equation to find value of y: 8(1.25) + 2y = 40
10 + 2y = 40
2y = 30
y = 15
Calculations that allow a researcher to draw conclusions about how meaningful a result is are collectively called _______________statistics
Answers
Answer: Inferential
Step-by-step explanation:
Inferential statistics, has to do with taking data from the samples that the researcher has and then making generalizations about the population through the sample gotten.
Through Inferential statistics, one can draw conclusion about a particular phenomenon. Therefore, the answer to the above question is Inferential statistics
.
Each vertical cross-section of the triangular prism shown below is an isosceles triangle.
What is the height, h, of the triangular prism?
Round your answer to the nearest tenth.
The height is
units.
Answers
Answer: The height is 3 units.
Step-by-step explanation:
By using the give figure we can form right angle out of the whole figure with a base of 4 and an hypotenuse of 5.
By using this information we can use the Pythagorean Formula to find the height
a^2 + b^2 =c^2 a= base, b = height and c will be the hypotenuse.
4^2 + b^2 = 5^2 Solve for B
16 + B^2 = 25
-16 -16
b^2 = 9
b = [tex]\sqrt{9}[/tex]
b = 3
The height, h, of the triangular prism is 3 units.
What is an isosceles triangle?Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.
Given that, vertical cross-section of the triangular prism shown in the given figure is an isosceles triangle.
Here, equal sides of an isosceles triangle is 5 units and base of the isosceles triangle is 8 units.
By using Pythagoras theorem,
5²=h²+4²
25=h²+16
h²=9
h=3
Therefore, the height, h, of the triangular prism is 3 units.
To learn more about an isosceles triangle visit:
https://brainly.com/question/10147636.
#SPJ7
Given that f(x) = x^2 - 11x + 18 and g(x) = x-9, find f(x) + g(x)
Answers
Answer:
f(x) + g(x) = x² - 10x + 9
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = x² - 11x + 18
g(x) = x - 9
Step 2: Find f(x) + g(x)
Substitute: f(x) + g(x) = x² - 11x + 18 + x - 9Combine like terms (x): f(x) + g(x) = x² - 10x + 9the ratio of the length and breadth of a rectangle is 5 is to 4and it's area is 180cm square find its length and breadth
Answers
Answer:
15cm and 12cm
Step-by-step explanation:
From the question,The ratio of the length and breadth of a rectangle is 5 to 4
We assume The Lenght of the field= 5x
The breadth = 4x
Area= (5x × 4x)= 180
20x^2= 180
X^2=
X= √9
X=3cm
The Lenght of the field= 5×3= 15cm
The breadth = 4×3=12cm
Terrance and his family went out for dinner for his birthday. The cost of the meal before sales tax was $43. The family decides to tip 25% for the excellent service they received.
How much did Terrance's family leave as a tip for his birthday meal?
Answers
9514 1404 393
Answer:
$10.75
Step-by-step explanation:
The amount they left as a tip is ...
25% × $43 = 0.25 × $43 = $10.75 . . . tip amount
Stefan is making meringue with egg whites and sugar. He uses 505050 grams of sugar for every egg white.
If Stefan uses 101010 egg whites, how many grams of sugar does he use?
grams
Answers
Answer:
Stefan uses 500 grams of sugar with 10 egg whites.
Step-by-step explanation:
Given that Stefan is using 50 grams of sugar with one egg white.
In order to find the quantity of sugar for more eggs, we have to multiply the amount of sugar for one egg with number of eggs.
Now,
We have to find the quantity of sugar for 10 eggs.
[tex]Sugar\ for\ 10\ eggs = 10*50 = 500[/tex]
Hence,
Stefan uses 500 grams of sugar with 10 egg whites.
Answer:
500 grams
Step-by-step explanation:
PLEASE HELP ME WITH THIS
Answers
9514 1404 393
Answer:
$0.50/lb
Step-by-step explanation:
The increase in cost is $40-25 = $15 for an increase in weight of 50-20 = 30 lb. That makes the cost per pound be ...
cost/pounds = $15/(30 lb) = $0.50/lb
please help me i’ll give brainliest
Answers
Answer:
A
Step-by-step explanation:
Quadratic Equation
The sum of the ages of two friends is 13 years and the product
of their ages is 42. Find their ages.
Answers
Step-by-step explanation:
The sum of ages of two friends is 13 years.
The product of their ages is 42.
Let the age of 1st friend and 2nd friend is x, y respectively.
1 st condition= The sum of ages of two friends is 13 yrs.
i.e x+y = 13........ (I)
2nd condition= The product of their ages is 42.
i.e X*y = 42........(ii)
From equation (I)
X+y = 13
or, X = 13-y........ (iii)
Putting the equation (iii) in equation (ii).
X*y= 42
(13-y) * y = 42
13y - y^2 = 42
[tex] {y}^{2} - 13y + 42 = 0[/tex]
[tex] {y}^{2} - (7 + 6)y + 42= 0[/tex]
[tex] {y}^{2} - 7y - 6y + 42 = 0[/tex]
[tex]y(y - 7) - 6(y - 7) = 0[/tex]
[tex](y - 6) (y - 7) = 0[/tex]
Either; y-6 = 0
y = 6
Or;
y-7=0
y = 7
Keeping the value of y as "7" in equation (ii)
x*y = 42
7x = 42
X = 42/7
Therefore, the value of X is 6.
Therefore, either 1st friend is 6 years and 2nd is 7 years.
Hope it helps...
What one for question 9 I have been stuck on this one
Answers
Answer:
d [tex]\geq \\[/tex]-39
Step-by-step explanation:
d/13[tex]\geq \\[/tex]-3
multiply both sides by 13
d [tex]\geq[/tex] 13(-3)
d [tex]\geq[/tex] -39
hope this helps
People in a survey were asked how many hours they watched TV each week. After the data was recorded, another response was found for a
participant who watches 40 hours a week. How will this additional data value affect the mean number of hours of TV watched each week?
0 24 6 8 10 12 14 16
Number of Hours
The mean will increase
The mean will decrease.
The effect on the mean cannot be determined.
The mean would stay the same.
Answers
Answer:
the mean would increase
Step-by-step explanation:
it would increase because you add up and devid by how many numbers you have
3. As a fundraiser the school has a pie eating contest. Matt eats 2.75 pies in 300 seconds. b. Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.
Answers
Answer:
Using equivalent fractions, the time Matt takes to eat 1 pie is 1200/11 which is the same as [tex]109\frac{1}{11}[/tex] seconds
Step-by-step explanation:
The number of pies Matt eats = 2.75 pies
The time duration Matt eats 2.75 pies = 300 seconds
Mathematically, the time duration for Matt to eat one pie is given as follows;
The time to eat 2.75 pies = 300 seconds
Dividing both sides of the equation by 2.75 gives;
The time to eat 2.75/2.75 pie = 300/2.75 seconds
2.75/2.75 = 1, therefore, we have;
The time to eat 1 pie = 300/2.75 seconds
The equivalent fraction of 3000/2.75 = 1200/11
Therefore;
The time Matt takes to eat 1 pie = 1200/11 seconds