Answer:
(g - f)(x) = 6x² - 5x - 2
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = x³ - x² + 5x
g(x) = x³ + 5x² - 2
(g - f)(x) is g(x) - f(x)
Step 2: Evaluate
Substitute: (g - f)(x) = x³ + 5x² - 2 - (x³ - x² + 5x)Distribute -1: (g - f)(x) = x³ + 5x² - 2 - x³ + x² - 5xCombine like terms: (g - f)(x) = 6x² - 5x - 2Please help!! Question is in the picture
Answer: (5,8)
Step-by-step explanation:
So this is a matter of using a system of linear equations
To start if a total of 13 people got a ticket then we know that
x+y=13
x and y being explained in the problem
then if adult tickets are $40 and children tickets are $20 and the total cost is 360 we can set up the next equation
40x+20y=360
If you were to plug in 1 lets say into x that means that 1 person bought a ticket for $40 this shown by 40 (1) this is the same premise for the childrens tickets.
now we have
x+y=13
40x+20y=360
now we can solve by eliminating one of the variables this is done by either getting rid of the x or y and solving for the other. I solved for the y value first this looks like
-40(x+y=13)
40x+20y=360
Distribute the -40 to each value
giving you
-40x-40y=-520
40x+20y=360
add these together from the top down
the x's cancel leaving
-20y=-160
then isolate the y value by dividing both sides by -20
-20y/-20=-160/-20
leaving you with your y point
y=8
This is how many childrens rickets were sold now we can plug into the first linear equation
x+8=13
now easy subtration to isolate the x point
x+8-8=13-8
x=5
Finally leaving you with point (5,8)
1. For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to
feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza. Let:
S = number of small pizzas he can buy & L = number of large pizzas he can buy.
Select the system of inequalities that represents this situation.
Answer:
7.25S + 10.50L ≤ 90
The system of inequalities that represents a given situation are S+L>5 and 7.25S+10.50L≤90.
Given that, For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza.
What are inequalities?Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let S = the number of small pizzas he can buy and L = the number of large pizzas he can buy.
Juan must buy more than 5 pizzas to feed the team.
That is, S+L>5
Pizzas are $7.25 for a small pizza and $10.50 for a large pizza=7.25S+10.50L
Juan collects $90 for pizza. So, 7.25S+10.50L≤90
Therefore, the system of inequalities that represents a given situation are S+L>5 and 7.25S+10.50L≤90.
To learn more about the system of inequalities visit:
https://brainly.com/question/16339562.
#SPJ2
Would 7x = 28 represent any geometric proof?
Answer: yes because the x could be 4 then 7 times 4 is 28 which would make this math sentence true
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
y=1.9x+2.5 what does this equal
Answer:
x=y+4.4
Step-by-step explanation:
y=1.9x+2.5
y/x=4.4
x=y+4.4
On Monday, Cathy read 1/6 of her book, and on Tuesday, she read 2/6 of the book. How much has she read
Answer:
1/2 of her book
Step-by-step explanation:
1/6 + 2/6 = 3/6 = 1/2
Answer:
I think that it is 1/2 of her books
Step-by-step explanation:
Hope this helped have an amazing day!
What is the value of X?
A: 15
B: 27
C: 45
D: 12
Answer:
D
Step-by-step explanation:
1. The price of the video game was $60.00. Thelprice was reduced by 25%. What was the sale price of the video game? A $15.00 B. $25.00 C. $45.00 D. $75.00
Answer:
The answer is A. $15.00
Step-by-step explanation:
Take 25% of 60 and that is 15. Please give me brainliest
Answer:
$45.00
Step-by-step explanation:
To find percentage, most start out by dividing the percent by 100:
25 ÷ 100 = 0.25
Then, to find the percentage of 60, we multiply them.
$60 x 0.25 = $15
15 is 25% of 60. However, we're asking the sale price of the video game, not the amount it was reduced. To find this out we subtract the reduced amount from the original number:
$60 - $15 = $45
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
Shen and David each washed a car.
• Shen spent 5 minutes washing his car for every 2
• Each boy started washing his car at 4:00 4.
• David finished washing his car at 4:30 PM.
At what time did Shen finish washing his car?
Step-by-step explanation:
Shen time= 5 min (David time/2 minutes)
David time= 4:30-4:00= 30 minutes
Shren time=5(30/2)=5(15)= 75 minutes
1. 0 f the 320 eighth
grade students at
HNMS, 35% are female.
How many eighth grade
students are male?
Answer:
Step-by-step explanation:
65% of them are male, obviously, but to figure out what 65% of 320 is, you have to do 320*.65. That gets you 208. The answer is 208
Answer:
65/100×320=208males
Step-by-step explanation:
(04.01 LC)
Which set of ordered pairs represents a function? (1 point)
a
{(0, 1), (1, 2), (2, 3), (3, 3)}
b
{(0, 1), (1, 2), (1, 3), (2, 5)}
c
{(0, 0), (1, 2), (2, 4), (2, 6)}
d
{(0, 0), (0, 1), (2, 0), (2, 4)}
Answer:
A
Step-by-step explanation:
Explain when it is appropriate to use a benchmark percent in solving a problem.
Answer:
The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.
These benchmark values are sometimes used when estimating a solution involving percentages.
Real-World Example
If an item costs $36.00 and there is a 7% sales tax, the benchmark of 10% can be used to mentally estimate the sales tax of the item.
10% of 36, done mentally, is 3.6.
Since 7% is a bit less than 10%, the sales tax will be a bit less than $3.60.Step-by-step explanation:
In a party Tom paid $540 including the cake and drink for his friend the cost of a person attending the party is $15 the cost of cake and drinks are $75 and $90 respectively find the number of friends that attended the party
Some pencils are to be shared between Grade 7, Grade 8 and Grade 9 students in the
ratio 3:5:6 respectively. If Grade 8 students receive 196 more than Grade 7 students, find
the total number of pencils shared.
Answer:
1312
Step-by-step explanation:
if grade 8 has 196 more, that means 196 represents two cause 5 is 2 more than 3, so then you divide 196 in half to get 98, then add 196 and 98, so grade 7 gets 294 pencils, the to find how many for grade 8 you take 294 plus 196 and get 460 so grade 8 gets 460, and for grade 9 you add 460 and 98 to get 558, then just add, 294, 460, and 558 and you get 1312. hope this helps
If you answer my last question, I will answer yours :)
Which ordered pairs are soultions to the inequality y-2x<-3
Answer:
(-3, 3/2)
Step-by-step explanation:
Given the inequality function y-2x<-3, to get the solution, we will need to find the x and y-intercept of the inequality function
y-intercept occurs at x = 0
Substitute x = 0 into the expression
y - 2(0) < -3
y < -3
Find the x-intercept by substituting y = 0 into the expression
0 - 2x < -3
-2x < -3
x > 3/2
Hence the ordered pair is (x, y) = (-3, 3/2)
HELP ASAP PLEASE!!!!
Triangle ABC is similar to triangle PQR, as shown below: Which equation is correct? (1 point)
A 190 inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece
Answer:
63.33333333333
Step-by-step explanation:
Sovle for x help !!!!!!!!!
Answer:
C) 115 degrees
Step-by-step explanation:
A line is 180 degrees.
This means that the other side of the line with an angle of 115 degrees will be 180-115=65 degrees.
The angle above that will be 115 and the other will be 65.
Line v is similar to line u. This means that it is 115 degrees because the question mark is at the spot that is 115 degrees in the above angles.
Time (econds)
8. The table shows a person's annual
salary y (in thousands of dollars) after x
years of education beyond high school.
What is the annual salary,
Years of
of the person after Education Salas
8 years of education
beyond high school?
Annual
Answer:
76 the pattern goes in 12s every two years
Step-by-step explanation:
64 plus 12 is 76
BRO CAN ONE PERSON HELP ME WITH THIS QUESTION THIS IS MY LAST QUESTION ON THIS GD TEST PLZ I'LL GIVE BRAINLIEST IF YOU ANSWER RIGHT AND HAVE AN EXPLAINATION.
Solve C=59(F−32) for F
Answer:
F = C/59 + 32
Step-by-step explanation:
the perimeter of a rectangle is 8x+10.if the length is 2x+8 what is the width?
Answer:
6x+2
Step-by-step explanation:
Answer:combine your like terms and solve to get the width .
Step-by-step explanation:
ASAP someone please help me step by step so I can understand it better please
Answer:
Y=6
Step-by-step explanation:
Please help asap! Please don’t get it wrong! xoxo
Answer:
Its B
Step-by-step explanation:
Answer:
square root of 130
Step-by-step explanation:
9^2+7^2=c^2
81+49=c^2
130=c^2
C= square root of 130
v=u + at
u= 2
a= -5
t = 1/2
Work out the value of v.
Answer:
V= -1/2
Step-by-step explanation:
You would have to add U+AT to get V
If A=-5 and T=1/2, then -5*1/2= -2.5 (A*T)
Then, adding U (which is 2), gives -.5, or -1/2
6th grade math i mark as brainliest
9514 1404 393
Answer:
8, 9. Correct
10. 6.1×t
Step-by-step explanation:
8, 9. The answers shown are correct.
__
10. The only product in the given expression is 6.1t, which can be written as ...
6.1×t
when a symbol is used to represent multiplication.
The parts of the product are the multiplicand and the multiplier. Those parts are also called factors.
HELP ASAP FOR BRAINLIEST
Answer: i am pretty sure its the first one
Step-by-step explanation:
i don't know for sure
1. Naty bought a dress for $24.95 and a skirt for $14.95. The sales clerk said the total
cost including 9.5% sales tax was 49.40. Below are the steps the clerk completed.
Answer
Step 1: 24.95 + 14.95 = 39.90
clercks step
the percent
Step 2: 39.90 + 9.5 = 49.40
Are the clerk's steps correct? If she is incorrect, identify her mistake and explain her
error. Explain in writing how to accurately calculate the sales tax, total cost, and state
the correct total. (Round final answer to the nearest hundredth)
Answer:
Answer:
39.995=40.00
Step-by-step explanation:
0.095 is tax he just added 9.5 he is not correct
natalie is baking cupcakes. Each cupcake needs ½ a cup of sugar. How many cupcakes can she make if she has 7 ⅓ cups of sugar? show your work
Answer:
14
Step-by-step explanation:
If each cupcake needs 1/2 cup of sugar, you need to divide the total cups of sugar by 1/2.
7 1/3 ÷ 1/2= 14.6
You cant have .6 of a cupcake, therefore she can make 14 cupcakes.
Henry saw 28 blue, 16 red and 24 white cars drive by his house in 1 hour. What percent of the cars were blue? (Round answer to the nearest percent)
A. 24%
B. 65%
C. 41%
D. 35%
Answer:
C
Step-by-step explanation:
The percentage is calculated as
% = [tex]\frac{blue}{total}[/tex] × 100%
Total number of cars = 28 + 16 + 24 = 68
number of blue cars = 28, then
% blue = [tex]\frac{28}{68}[/tex] × 100% = 41% ( to the nearest percent )
My question is in the picture please give an explanation. Thanks!