Answer: [tex]G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]
===================================================
Work Shown:
[tex]G(x) = x^3\\\\G(F(x)) = \left(F(x)\right)^3\\\\G(F(x)) = \left(x-7\right)^3\\\\G(F(x)) = \left(x-7\right)\left(x-7\right)^2\\\\G(F(x)) = \left(x-7\right)\left(x^2-14x+49\right)\\\\G(F(x)) = x\left(x^2-14x+49\right)-7\left(x^2-14x+49\right)\\\\G(F(x)) = x^3-14x^2+49x-7x^2+98x-343\\\\G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]
how do I find a slope that does not have zero as a point of origin
Answer:
See answer below.
Step-by-step explanation:
Pick any two ordered pairs that is on the given graph line.
The Slope = (the change in the y-values)/(the change in the x-values) or
Calculate measures of central tendency and
dispersion for the following:
Find the mean, median, midrange, mode, range, standard deviation and Quartile graph
Data: 54, 92, 101, 83, 45, 102, 99,76, 79, 85, 90, 100,
98, 71, 65, 63, 90, 88, 70, 60, 90, 58,81
Answer:
The mean is 80, the median is 83, and the mode is 90
Step-by-step explanation:
The currency in China is the Yuan. The
exchange rate is approximately $1 for
every 8 Yuan. At this rate, how many
Yuan would you get if you exchanged $10?
Answer:
80 Yuan for 10 Dollars
Step-by-step explanation:
1 dollar = 8 yuan
10 x 8 = 80
Answer:
80 yuan
Step-by-step explanation:
$1= 8
you have $10
10*8= 80
find the lowest common multiple of: 10 ,15 and 18
Answer:
90
Step-by-step explanation:
Find the slope from points (9,-13), (7,-11)?
That’s what my question is
Answer:
Step-by-step explanation:
The entered points belong to an increasing, linear function.
Equation: y = 1x + 4.
Hey everyone i would appreciate a step by step explanation. Also the actual question was written in mixed number form i just converted it into improper fractions.
10/9 + 56/27
Answer:
86/27 or 3 5/27
Step-by-step explanation:
10/9 is nothing but 30/27 (multiply the numerator and denominator by 3/3)
By adding 30/27+56/27, we get 86/27, which is our final answer
please dont give a useless answer
Answer:
[tex]\frac{7}{10} ,0.7[/tex]
Reasoning:
Do the inverse of adding 4/5 to isolate and find a.
[tex]1\frac{1}{2} - \frac{4}{5} =\frac{7}{10}[/tex]
Decimal Form:
[tex]1.5-0.8=0.7[/tex]
Answer:
a = 0.7 = 7/10
Step-by-step explanation:
Subtract 4/5 from both sides.
a + 4/5 = 1 1/2
a + 0.8 = 1.5
a + 0.8 -0.8 = 1.5 -0.8 . . . . subtract 4/5 from both sides
a = 0.7 = 7/10
_____
If you like, you can solve this a couple of other ways:
1) Solve it as an integer problem.
10a +8 = 15 . . . . . . multiply the given equation by 10 to clear fractions
10a = 7 . . . . . . . . subtract 8
a = 7/10 . . . . . . divide by 10
2) Use a common denominator
a +8/10 = 1 5/10
a = 1 5/10 -8/10 . . . . . subtract 8/10
a = 15/10 -8/10 = (15 -8)/10 = 7/10 . . . . . convert to improper fraction
__
Additional comment
It is a good idea to get comfortable working with numbers in any form in which they are presented: decimal, fraction, mixed number, scientific notation, percentage. Knowing how to convert between forms is essential.
PLEASE HELP ME OUT I WILL GIVE BRAINLIEST
Perform the following conversions using unit fractoring
2.3L = ______ mL
4.5 yds = ______ in
Answer:I got you
2.3L=2300ML
4.5yds=162in
Step-by-step explanation:
19 is 5 times a number - 2
I really need the equation
Step-by-step explanation:
19=5x-2 19+2=5x 21=5x 21÷5=x x=4.2
a=0.5 b=-6
work out ab-b
Answer:
a = 0.5
b = 6
ab - b
= 0.5 × 6 - 6
= 3 - 6
= -3
Hope it helps:)
please help me
the denominator only
Answer:
6/51/33/1013/549/201/15Step-by-step explanation:
You cannot subtract JUST a denominator. The subtraction sign is lower down because of the odd printing just like the equal signs.
1. The first thing you have to do is change this from a mixed fraction into an improper fraction in order to subtract. This becomes:
12/5 -6/5 (This is done by multiplying the large number by the denominator and adding it to the exsisiting numerator)12-6=6 therefore the answer is 6/52. This one requires you to multiply your denominator so that it is the same for both fractions. The least common denominator (LCD) for these fractions is 12
7/12-1/4(3) (Because 3x4 is 12 which is the LCD)7/12-3/12 = 4/12 (this can be simplified)1/33. This is fairly straight-forward the denominators already match so just subtract the numerators
6/10-3/10= 3/104. Because we have a full number we must make it into a fraction in order to subtract it and also turn the mixed fraction into an improper fraction
We'll start with the mixed because we've done that before multiplying 4 by 5. Add to that 20 the 2 from the original fraction to get 22/ 5For the full number use the denominator of the number to determine the fraction. Multiply the full number by the denominator (5) to get 35 and place a 5 underneath and call it a day.Therefore: 35/5-22/5=13/55. This problem requires multiple steps the first would be to make improper fractions then get a LCD and then of course subtract.
(6x8)+2=48+2=50 --> 50/8(5x3)+4=15+4=19 --> 19/5LCD 5:5,15,20,25,30,40 & LCD 8: 8,16,24,32,40 LCD=40(50/8)x5-(19/5)x8 = 250/40-152/40 = 98/40 This can be simplified49/206. For this we will use another LCD.
LCD 3: 3,6,9,12,15 LCD 5: 5,10,15 LCD=15(2/3)x5-(3/5)x3 = 10/15-9/15 = 1/15Cindy made a scale drawing of a game room. The pool table, which is 8 feet long in real life,
is 4 inches long in the drawing. What is the scale of the drawing?
1 inch:
feet
Answer:
1 inch = 2 feet
Step-by-step explanation:
Answer:
1 inch ÷ 2 feetStep-by-step explanation:
According to given:
8 feet → 4 inDivide both by 4 to get the scale of drawing:
8/4 feet → 4/4 in2 feet → 1 inplease help and show work
Answer:
When solving a rational equation, start by grouping or canceling out like terms. So cancel out x on the numerator and denominator of 2+7x/x. While the equation itself results in a contradictory statement - 5=9, the first step to figuring this out would be canceling out x.
In each figure, solve for x
At the football game, 3 hamburgers and 6 soft drinks cost $24, and 4 hamburgers and 3 soft drinks cost $22. Which two equations can be used to determine the price of a hamburger and the price of a soft drink?
Let x represent the cost of a hamburger and y represent the cost of a soft drink.
Answer: it would be A
Step-by-step explanation:
x the cost in dollars of a hamburger and y the cost in dollars of a soft drink.
The cost of 4 hamburguers can be represented with this expression:
4x
And the cost of 6 soft drinks can be represented with this expression:
6y
The total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation
3x+6y=24
The following expression represents the the cost of 3 soft drinks:
3y
According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:
4x+3y=22
PLEASE HELP I DONT UNDSRSTANT
Answer:
B. 28.5
Step-by-step explanation:
Before you can use the Law of Sines, you need to know the measure of angle C. The sum of angles in a triangle is 180°, so you have ...
A + B + C = 180°
C = 180° -A -B = 180° -32° -25° = 123°
The Law of Sines tells you ...
c/sin(C) = a/sin(A)
c = sin(C)·a/sin(A) = sin(123°)·18/sin(32°)
c ≈ 28.5
_____
Additional comment
The law of sines says the ratio of a side length to the sine of the opposite angle is a constant for any given triangle:
a/sin(A) = b/sin(B) = c/sin(C)
In order to use this relationship, you need to have a side length and its opposite angle. If you're solving for a side length, as here, you need to know the angle opposite that side.
This problem gives you side 'a' and angle A, and it asks for side 'c'. That means you need to know angle C, which we found as part of our solution.
Find the perimeter. Simplify your answer.
Answer:
4p+23
Step-by-step explanation:
I'm guessing you add all of the sides to get the perimeter, so 4p+5+10+8 is 4p+23.
what is 47- 24 (x+3)x
Umm so I'm confused
The question says
5x - 2y = 24
x + 2y = 12
Answer:
Step-by-step explanation:
5x-2y=24
x+2y=12
add the two equations
(5x-2y)+(x+2y)=24+12
6x=36
x=6
Plug in x=6 into any of the two equations
5(6)-2y=24
30-2y=24
-6= -2y
y= 3
x=6
y=3
(6,3)
Factorise. 5a² - 10a
Answer:
5a (a -2)
Step-by-step explanation:
Hey there,
Here, you have to get the common factors out from the brackets.
According to this question,
a and 5 are the common factors.
Therefore, you can write the answer like this,
5a² - 10a
5a (a -2)
Hope this helps you.
Let me know if you have any other questions :-)
help pleaseeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
ford would be 250 in metres and the decimal would be the smallest
jerry, Simon, curst, carl, ford
59 divided by 4=? Also, please don't use a fraction just keep it simple like 68R7.
R/r=remainder
Answer:
14 R3
Step-by-step explanation:
the closest multiple of 4 under 59 is 56. 56/4=14 and there is a remainder of 3 between 59 and 56
Answer: 14R3
Step-by-step explanation:
A bicycle store costs $1500 per month to operate. The store pays an average of $35 per bike. The average selling price of each bicycle is $85. How many bicycles must the store sell each month to break even?
Answer:
30 bikes
Step-by-step explanation:
the profit from each bike is 50 so then you divide 1500 by 50 and you get 30
Help me with math!!!!
Answer:
-4
Step-by-step explanation:
so t is greater than -5, and for negatives, you need to get nearer zero.
Viviana sells handmade necklaces for $12.50 and bracelets for $10.50. On Tuesday,
she sold 24 pieces of jewelry and made $288. How many of each type of jewelry did
she sell?
x= Necklaces
y= Bracelets
Answer:
brainlest = answer
Step-by-step explanation:
[tex]\boxed{\sf 3x-12=3}[/tex]
Answer:
x = 5Step-by-step explanation:
Question:To find the value of xGiven Equation:3x - 12 = 3Solution:=> 3x - 12 = 3
[On putting the like terms on one side of the equation]=> 3x = 3 + 12
[On adding like terms]=> 3x = 15
[Dividing both sides with 3][tex] = > \frac{3x}{3} = \frac{15}{3} [/tex]
[On Simplification]=> x = 5 (Ans)
[tex]\sf 3x - 12 = 3[/tex]
[tex]\sf \longmapsto3x = 3 + 12[/tex]
[tex]\sf \longmapsto3x = 15[/tex]
[tex]\sf \longmapsto \: x = \frac{15}{3} [/tex]
[tex]\sf \longmapsto{x} = 5[/tex]
[tex] \boxed{ \sf \: 5}[/tex]
A fundamental basis of regression analysis is the assumption of a. the lack of a relationship between independent variables. b. a curvilinear relationship between two weakly associated dependent variables. c. a uniform normal distribution between dependent variables. d. a straight-line relationship between the independent and dependent variables. e. the existence of two independent variables for every dependent variable.
The correct answer is E. A fundamental basis of regression analysis is the assumption of the existence of two independent variables for every dependent variable.
Regression analysis is a statistical method that examines the dependence of a response variable on selected explanatory variables.
When studying the dependence between quantities and trying to describe a given functional dependence on a given formula, it is assumed that the dependence consists of a precisely determinable component and a random component. The relationship with this assumption is called the regression model.
Learn more about regression analysis in https://brainly.com/question/1305938
PLEASE TELL ME A STORY I WANT AN IDEA ON WHAT TO WRITE NOT JUST A SIMPLE ANSWER LIKE I GAVE A HOMELESS MAN MONEY Describe a time when you solved a problem. What actions did you take, and what impact did you make?
Answer:
Write about like something that happened at school that involved you and others.
Step-by-step explanation:
Hope this helps!
(08.02 MC)
A pair of equations is shown below:
y = 2x − 1
y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answer:
part A
y = 2x -1
the slope is 2/1 means it will be up 2 right 1 or down 2 left 1 the slope is positive
the y-int is -1
y = 4x -5
the slope is 4/1 means it will be up 4 right 1 or down 4 left 1 the slope is positive
the y-int is -5
part B
the solution to this is (2,3)
Step-by-step explanation:
Answer:
Part A:
y = 2x - 1
Slope = 2/1
Y intercept = -1
y = 4x -5
Slope = 4/1
Y intercept = -5
Part B:
x = 2 y = 3
Step-by-step explanation:
Part A: To solve the pair of equations graphically, we need to plot the 2 lines on a graph, and look at where they intercept. Then we draw a vertical line from the intersection to the x axis and we know what x is equal to. Laslty, we draw another line (horizontal) from the intersetcion to the y axis and we know what y is equal to.
Equation of a line: y = mx + c
where mx is the slope and c is the y intercept
y = 2x - 1
Slope = 2/1 -- 2 divided by 1 because it goes 2 squares up and 1 to the right
y intercept = -1
y = 4x - 5
Slope = 4/1
y intercept = -5
Part B:
Solving for x:
Since we know that y = 2x - 1 but also 4x - 5, then:
2x - 1 = 4x - 5
2x + 4 = 4x
4 = 2x
x = 2
Solving for y:
Since we know that x = 2, we just have to replace it in one of the two equations, let's say y = 2x - 1. This would give us:
y = 2 x 2 - 1
y = 4 - 1
y = 3
PLEASE HELP RLLY NEED ANSWER
Angle A and angle B are supplementary. The measure of angle B is 82.5.
What is the measure of angle A, in degrees?
Enter your answer as a decimal, if necessary, like this: 42.5
Answer:
97.5
Step-by-step explanation:
Supplementary means the angles add up to 180°
So,
m∠A = 180 - m∠B
m∠A = 180 - 82.5
m∠A = 97.5
