Answer:
(f · g)(t - 1) = 4t² - 2t - 13
Step-by-step explanation:
First, find (f · g)(n). You can do this by multiplying f(n) by g(n).
f(n) = 2n - 2
g(n) = 2n + 5
(f · g)(n) = (2n - 2)(2n + 5)
(f · g)(n) = 4n² + 6n - 10
Now, plug (t - 1) into (f · g)(n) and simplify.
(f · g)(n) = 4n² + 6n - 10
(f · g)(t - 1) = 4(t - 1)² + 6(t - 1) - 10
(f · g)(t - 1) = 4(t² - 2t + 1) + 6(t - 1) - 10
(f · g)(t - 1) = 4t² - 8t + 4 + 6t - 1 - 10
(f · g)(t - 1) = 4t² - 8t + 4 + 6t - 1 - 10
(f · g)(t - 1) = 4t² - 2t + 4 - 1 - 10
(f · g)(t - 1) = 4t² - 2t - 13
3. A retailer sales one gold watch with a markup of 50%. Write an equation using (C) retail cost of watch and (s) for sale price, If the retailer sold the watch for $300, what was the cost to the retailer?
Answer:
a. S = 1.5C
b. C = $200
Step-by-step explanation:
Firstly, we want to write an equation using retail cost of watch and s for sale price
From the question, we are looking at a markup of 50%
Mathematically therefore;
S = C + (50/100 * c)
S = C + 0.5C
S = 1.5C
Now we want to calculate the cost to the retailer given that the watch was sold as $300 by the retailer
We use the equation:
S = 1.5C
300 = 1.5C
C = 300/1.5
C = $200
solve for x
5(x−2)<−3x+6
will name branliest
Answer:
x < 2
Step-by-step explanation:
Given
5(x - 2) < - 3x + 6 ← distribute parenthesis on left side
5x - 10 < - 3x + 6 ( add 3x to both sides )
8x - 10 < 6 ( add 10 to both sides )
8x < 16 ( divide both sides by 8 )
x < 2
Hey there!☺
[tex]Answer:\boxed{x<2}[/tex]
[tex]Explanation:[/tex]
Let's start by simplifying both sides of the inequality:
[tex]5x-10<-3x+6[/tex]
Now add 3x to both sides:
[tex]5x-10+3x<-3x+6+3x\\8x-10<6[/tex]
In our third step, we will add 10 to both sides:
[tex]8x-10+10<6+10\\8x<16[/tex]
In our last step, we will divide both sides by 8:
[tex]\frac{8x}{8}=\frac{16}{8}[/tex]
Simplify 16/8:
[tex]\frac{16}{8}=2\\ x<2[/tex]
x<2 is your answer.
Hope this helps!☺
[tex]\text{-TestedHyperr}[/tex]
Round this number to the tens place 645.56
Answer:
650.56 or just 650
Step-by-step explanation:
What is x/9=9 i do not know this answer
Answer:
81
Step-by-step explanation:
[tex] \frac{x}{9} = 9[/tex]
is also equal to
[tex]x \div 9 = 9[/tex]
so to find x, we need to remove (÷9) and so in order to do so, we multiply 9 on both sides and thus it is 81.
Rational numbers are numbers that can be written as the ______ of _____. What are the blanks?
Answer:
rational numbers are numbers that can be written as the ratio of two integers
Perform the indicated operation.
f ( x ) = 2 x 2 − 3 x
g ( x ) = 4 x + 4
Find ( f + g ) ( x )
Answer: [tex](f+g)(x)=2x^{2} +x+4[/tex]
Step-by-step explanation:
Add both of the functions together
[tex](2x^{2} -3x)+(4x+4)\\2x^{2} +x+4[/tex]
I NEED HELP. Find the Values of a,b, que and v
Answer:
a=118
b=64
q=84
v=84
Step-by-step explanation:
b=62
a=18-=b
a=180-62
a=118
q=180-s or r
q=180-96
q=84
v=q
v=84
whats 6/7 divided by 1/2 i need it as a fraction not decimal
Answer:
12/7
Step-by-step explanation:
The value of the expression as a fraction is 12/7.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
6/7 ÷ 1/2
This can be written as,
= (6/7) / (1/2)
= (6 x 2)/7
= 12/7
Thus,
The value is 12/7.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Which of the integers shown is the greatest? -22 -5 -7 or -3
Answer:
-3
Step-by-step explanation:
the larger the integer the smaller the value
so -22 is actually the smallest value
Please help ASAP! thank you!!
Answer: C: 9.0 x 10^-3
Step-by-step explanation:
a bus holds 30 students there are 360 students how many buses are needed
which statement must be true to be able to use the AAS Congruence Theorem to prove triangle LMN is congruent to triangle PON?
A) angle LNM ≈ angle ONP
B) LM ≈ OP
C) N is the midpoint of LP
D) LP ≈ MO
Answer:
a
Step-by-step explanation:
2 angles. 1 sude
x+ 5y +3z = 4
4y - z = 3
6x - 2y + 4z = 0
Leila bought 3 bananas, which weighed a total of Three-fourths of a pound. If each banana weighed the same amount, what is the weight of each banana?
Answer:
Each banana would weigh ¼ of a pound
Step-by-step explanation:
If there are three bananas that all equal ¾ of a pound, then ¾÷3=¼
Answer:
c
Step-by-step explanation:
Identify the correct handling of the negative exponents (-10)-4.
Answer:
I think the answer might be C.
Step-by-step explanation:
4dy + 12 = 7dy, solve for y. Show how you solved it
Answer:
y = -12/(4d - 7d)
Step-by-step explanation:
Step 1: Write equation
4dy + 12 = 7dy
Step 2: Solve for y
Subtract 7dy on both sides: 4dy + 12 - 7dy = 0
Subtract 12 on both sides: 4dy - 7dy = -12
Factor out y: y(4d - 7d) = -12
Divide both sides by 4d - 7d: y = -12/(4d - 7d)
Hello! :)
First thing you do is add -7dy to both sides
4dy + 12 + -7dy = 7dy + -7dy
-3dy + 12 = 0
Next you will have to add -12 to both sides
-3dy + 12 + -12 = 0 + -12
-3dy = -12
Last thing you have to do is divide both sides by -3d
-3dy/-3d = -12/-3d
y = 4/d (ANSWER)
A long jumper lifts off 3 m after starting his run, and lands 6 m later. When he is 8 m from the start line, he is 5 cm above and he ground. Write the equation of a parabola that models his path through the air, where x is horizontal distance from the start line in m and y is his height, in cm.
Answer:
The equation of the parabola that models the path of the long jumper through the air is [tex]y = -x^{2}+12\cdot x -27[/tex].
Step-by-step explanation:
Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:
[tex]y = a\cdot x^{2}+b\cdot x + c[/tex]
Where:
[tex]x[/tex] - Horizontal distance from the start line, measured in meters.
[tex]y[/tex] - Height of the long jumper, measured in meters.
[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Polynomial constants, measured in [tex]\frac{1}{m}[/tex], dimensionless and meters, respectively.
If we know that [tex](x_{1},y_{1}) = (3\,m, 0\,m)[/tex], [tex](x_{2},y_{2}) = (8\,m, 0.05\,m)[/tex] and [tex](x_{3}, y_{3}) = (9\,m, 0\,m)[/tex], this system of linear equations is presented below:
[tex]9\cdot a + 3\cdot b + c = 0[/tex] (Eq. 1)
[tex]81\cdot a + 9\cdot b + c = 0[/tex] (Eq. 2)
[tex]64\cdot a + 8\cdot b + c = 0.05[/tex] (Eq. 3)
The coefficients of the polynomial are, respectively:
[tex]a = -\frac{1}{100}[/tex], [tex]b = \frac{3}{25}[/tex], [tex]c = -\frac{27}{100}[/tex]
The equation of the parabola that models the path of the long jumper through the air is [tex]y' = -\frac{1}{100}\cdot x^{2}+\frac{3}{25}\cdot x -\frac{27}{100}[/tex].
But we need [tex]y[/tex] measured in centimeters, then, we use the following conversion:
[tex]y = 100\cdot y'[/tex]
Then, we get that:
[tex]y = -x^{2}+12\cdot x -27[/tex]
Where [tex]x[/tex] and [tex]y[/tex] are measured in meters and centimeters, respectively.
The equation of the parabola that models the path of the long jumper through the air is [tex]y = -x^{2}+12\cdot x -27[/tex].
PLEASE HELP ANSWER YOU CAN GET 70 PTS!!!!!!! THIS IS REALLY URGENT AND SUPER IMPORTANT
There are 8 people in a long, skinny, 9-seat canoe. Four are in the back, four are in the front and the middle seat is empty. The people from the back want to move to the front of the canoe and the people from the front want to move to the back. (Each group can only move in one direction.) Since they don’t want to risk falling into the water, they have to be very careful in the way that they move. Without capsizing the canoe, a person can move by “sliding” into the empty seat or by carefully “jumping” over
a single person into the empty seat. The goal is to exchange the people from the front and the back in as few “moves” as possible. How should it be done?
Challenge: How would your solution differ if there were 5 people in the back and 5 people in the front? How would it be similar? How would your solution differ if there were n people in the back and n people in the front?
Help help help now plssss offering more than 5 points
Answer:
C
Step-by-step explanation:
4(10^2) = 400
Check:
10x10=100 (area of 1 wall)
100× 4(the 4 walls)
4(10^2) = 400✅
The opposite of a number is always positive true or false
Answer:
FALSE
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Let’s use 9 as an example. 9 opposite number will be -9.
-9 opposite will be 9
Solve the proportion: 12/R = 5/60
what are three reasons for using a mann-whitney u test?
Answer:The Mann-Whitney U test is used to compare differences between two independent groups when the dependent variable is either ordinal or continuous, but not normally distributed. ... The Mann-Whitney U test is often considered the nonparametric alternative to the independent t-test although this is not always the case.
Step-by-step explanation:that would de why
9:45 on Tuesday Questions
Please Help Me Out! I am back with a handful of geometry questions. I would like you to answer this question and explain or show all of your work.
I will mark Brainlest for an accurate answer!
If the image is to blurry try clicking on it. If it is still to blurry, let me know in the comments. If you have any other questions about the problem, let me know.
Please only answer of you have a "real" answer and not a comment. Save your comments for the comment box!
If you would like to help me out some more, go check out my profile and answer the questions that have 9:45 on Tuesday Questions on them.
God Bless.
Answer:
See below
Step-by-step explanation:
Angle 4 is exterior angle of the triangle and as per definition:
∠4 = ∠1 + ∠2Angle 4 is supplementary with angle 3, they sum up to straight angle of 180°
∠4 = 180° - ∠3M is the midpoint in the segment find the indicated length XM
x+2
2x+3
NEED THIS ASAP
Answer:
XM = 1 unit
Step-by-step explanation:
It is given that, M is the midpoint in the segment.
Midpoint bisects the lines such that,
XM = MY
Put XM = x+2 and MY = 2x+3
x+2=2x+3
Taking like terms together,
x-2x=3-2
-x=1
x = -1
Put x = -1 in XM = x+2
(-1) + 2 = 1 = XM
So, the value of XM is 1 unit.
The product of a number (a) increased by seventeen and three
Answer:
21a
Step-by-step explanation:
The new product obtained will be x+20
What is product of a number ?The product is a result of multiplication of two numbers.
If 4 and 5 are multiplied we get 20 as the product.
In mathematics, there are many distinct types of products.
in addition to multiplying numbers, polynomials, and matrices, one can also define products on a variety of algebraic structures.
It is given in the question that
The product of a number is increases by 17 and 3
suppose the product of a number is x
if it is increased by 17 and 3 it will be
x+17+3
x+20
The new product obtained will be x+20
To know more about the product
https://brainly.com/question/22852400
#SPJ2
Name the triangle congruence postulate that proves the triangles below are congruent.
Answer:
ASA
Step-by-step explanation:
i think
Line m passes through points (4, 1) and (8, 3). Line n passes through points (-8, 1) and (4, 7). Are lines m and n parallel? Explain.
No, the lines are not parallel because they have the same slope.
Yes the lines are parallel because they have different slopes.
No the lines are not parallel because they have different slopes.
Yes the lines are parallel because they have the same slope.
The cost of 12 pounds of red grapes and 10 pounds of green grapes is
$37.20. If the green cost $.20 more per pound than the red, how much is
the pound of red grapes?
Answer:
I believe it is $1.60 a pound but i'm not sure.
Step-by-step explanation:
S. Which equation represents a line parallel to y = 3x + 2 and passes through (4, 1)?
A y=-3x - 1
C y = 3x - 11
By= 3x - 1
Dy=-3x - 11
What is the first step in solving quadratic equations by finding square roots?
a.
give the positive and negative answer
c.
square root both sides to isolate x
b.
isolate the x squared by using inverse operations
d.
none of these'
Answer:
it depends on the method bro for substitution first substitute the x
Answer:
A i belive
Step-by-step explanation:
