Answers
2(5)^2 - 4(5) + 5
=50 - 20 + 5
=30 + 5
=35
Related Questions
Analyze the results of the correlation using the given residual plot.
Answers
Answer:
Last one
Step-by-step explanation:
Answer:Analyze the results of the correlation using the given residual plot.
Residual
Step-by-step explanation:
the sum of the three sisters' ages is 51. If ava is 6 years older than
Camila, and Camila is twice as old as Luna, what are the ages of the
three sisters?
Create an equation with only one variable.
Answers
9514 1404 393
Answer:
Luna is 9Camila is 18Ava is 24Step-by-step explanation:
We can express all of the ages in terms of Luna's age. Letting L represent Luna's age, we have ...
Luna's age: LCamila's age: 2LAva's age: 2L +6The total of their ages is then ...
L +2L +(2L+6) = 51 . . . . an equation with one variable
5L = 45
L = 9
Luna is 9, Camila is 18, and Ava is 24.
Please give me the correct answer
Answers
Answer:
m∠4 = m∠1 + m∠3
Step-by-step explanation:
The measure of an exterior angle of a triangle is equal to the sum of its two opposite interior angles
Now, examining the given triangle, we can note that:
∠4 is an exterior angle
∠1 and ∠3 are its two opposite interior angles
Based on the givens and the above theorem, we can conclude that:
m∠4 = m∠1 + m∠3
Hope this helps :)
Answer:
her answer is correct please
Can someone show me how to do this? I’m not sure how to do this
Directions: The points in the table lie on a line. Find the slope of the line. Then draw its graph.
Answers
Answer: Slope means the gradient. So find the equation of the line first then graph the points on the graph.
Step-by-step explanation:
y=mx+c *We want m*
m=(y2-y1)/(x2-x1)
m=(0-1)/(6-3)
m=-1/3
y=-1/3x+2 *(0,2) co-ordinate means it's the y-intercept=c*
I think the slope is -1/3 and then just plt the points on the graph manually.
Find the Surface area S of each prism (the numbers are 3,5,4,8)
Answers
Answer:
Did u ever get the answer to this?
Step-by-step explanation:
3. Tim had 253 dollars to spend on 7 books. After
buying them he had 15 dollars. How much did each book cost?
Answers
Answer:
each book costs $34
Step-by-step explanation:
assuming that all the books cost the same,
253-15=238
238/7=34
Answer: Each book cost $34.
Step-by-step explanation:
First subtract 253-15.
253-15=238.
Then divide 238/7.
238/7=34
Hope this helps :)
Factorise the following expressions.
Answers
Answer:
Q.1 a²+10a+24
splitting the middle.
a²+6a+4a+24
=a(a+6)+4(a+6)
(a+6)(a+4)
Q.2 x²+9x+18
splitting the middle
x²+6x+3x+18
x(x+6)+3(x+6)
(x+6)(x+3)
A square has a side of 10x. Write and simplify an expression for the perimeter of the square. Then calculate the perimeter of the square if
X=12
Answers
Answer:
Step-by-step explanation:
perimeter = 4(10x) = 40x units
if x = 12, perimeter = 480x units
Solve. -x < 20
Graph on a number lin
Answers
Answer:
x > -20
Step-by-step explanation:
-x < 20
When dividing by negative numbers, flip the inequality.
x > -20
inclusive -> open circle
greater than -> to the right
open circle at -20 going to the right
Pls answer correctly I’ll give you brainliest
Answers
Answer:
1=2(4)+b
Step-by-step explanation:
slope intercept looks like this y=mx(or y=#x+#
if the slope is 2 the equation will be y=2x+b
to find b so x=4 and y=1 we can plug those numbers into the equation to find b
If a rectangle has length x and width x+3, what is the perimeter of the rectangle in terms of x?
Answers
Answer:
[tex]4x+6[/tex] units
Step-by-step explanation:
Skills needed to solve: Order of Operations, Distributive Property, Perimeter Formula, Like Terms
1) To solve this problem, you need to understand the perimeter formula, and that is:
--> [tex]P = 2(L+W)[/tex]
P = Perimeter
L = Length
W = Width
2) Based on that, we are given that:
[tex]L = x[/tex] (since the length is x)
[tex]W = x+3[/tex] (since the width is x+3)
3) After that, we substitute in the values:
[tex]P = 2(L+W)[/tex]
[tex]P = 2(x+(x+3))[/tex]
[tex]x + (x+3) = x+x+3 = 2x+3[/tex] (with like terms and addition)
so: [tex]P=2(2x+3)[/tex]
Use distributive property, which is [tex]a(b+c) = ab+ac[/tex]
get: [tex]2(2x+3) = 2(2x) + 2(3)[/tex]
[tex]2(2x) = 4x[/tex]
[tex]2(3) = 6[/tex]
So: [tex]P = 4x+6[/tex]
Hope this helps and have a nice day!! :) :]
Recall that the Fibonacci Sequence is defined by the recurrence relation, a0 = a1 = 1 and for n ≥ 2, an = an−1 + an−2 . a. Show that f(x) = 1 1−x−x 2 is the generating function of the Fibonacci Sequence. b. Find ???? and β such that 1 − x − x 2 = (1 − ????x)(1 − βx). c. Find A and B in terms of ???? and β, such that 1 1−x−x 2 = A 1−????x + B 1−βx. d. Use the results of the previous parts to obtain a formula for an.
Answers
Answer:
Step-by-step explanation:
From the given information:
[tex]a_n = a_{n-1} + a_{n-2}; \ \ \ n \ge 2 \\ \\ a_o = 1 \\ \\ a_1 =1 \ \ \ \ \ since \ \ a_o = a_1 = 1[/tex]
A)
[tex]a_n - a_{n-1} - a_{n-2} = 0 \\ \\ \implies \sum \limits ^{\infty}_{n=2}(a_n -a_{n-1}-a_{n-2} ) x^n = 0 \\ \\ \implies \sum \limits ^{\infty}_{n=2} a_nx^n - \sum \limits ^{\infty}_{n=2} a_{n-1}x^n - \sum \limits ^{\infty}_{n=2}a_{n-2} x^n = 0 \\ \\ \implies (a(x) -a_o-a_1x) - (x(a(x) -a_o)) -x^2a(x) = 0 \\ \\ \implies a(x) (1 -x-x^2) -a_o-a_1x+a_ox = 0 \\ \\ \implies a(x)(1-x-x^2)-1-x+x=0 \\ \\ \implies a(x) (1-x-x^2) = 1[/tex]
[tex]\mathbf{Generating \ Function: a(x) = \dfrac{1}{1-x-x^2}=f(x)}[/tex]
B)
[tex]If \ \ 1 -x-x^2 = (1 - \alpha x) ( 1- \beta x) \\ \\ \implies 1 -x - ^2 = 1 + \alpha \beta x^2 - ( \alpha + \beta )x \\ \\ \text{It implies that:} \\ \\ \alpha \beta = -1 \\ \\ \alpha + \beta = 1 \\ \\ \implies \alpha = ( 1-\beta) \\ \\ ( 1- \beta) \beta = -1 \\ \\ \implies \beta - \beta^2 = -1 \implies \beta - \beta^2 -1 = 0\\ \\ \beta = \dfrac{-(-1) \pm \sqrt{(-1)^2 -4(1)(-1)}}{2(1)}[/tex]
[tex]\beta = \dfrac{1\pm \sqrt{5}}{2} \\ \\ \beta = \dfrac{1 + \sqrt{5}}{2} \ \ and \ \ \alpha = \dfrac{1 - \sqrt{5}}{2}[/tex]
C)
[tex]\dfrac{1}{1-x-x^2}= \dfrac{A}{1-\alpha x}+ \dfrac{\beta}{1-\beta x} \\ \\ = \dfrac{A(1-\beta x) + B(1-\alpha x)}{(1-\alpha x) (1 - \beta x)} \\ \\ = \dfrac{(A+B)-(A\beta+B\alpha)x}{(1-\alpha x) (1-\beta x)}[/tex]
[tex]\text{It means:} \\ \\ A+B=1 \\ \\ B = (1-A) \\ \\ A\beta+ B \alpha =0 \\ \\ A\beta ( 1 -A) \alpha = 0 \\ \\ A( \beta - \alpha ) = -\alpha \\ \\ A = \dfrac{\alpha}{\alpha - \beta } \\ \\ \\ \\ B = 1 - \dfrac{\alpha }{\alpha - \beta} \implies \dfrac{\alpha - \beta - \alpha }{\alpha - \beta } \\ \\ =\dfrac{-\beta }{\alpha - \beta} \\ \\ \mathbf{B = \dfrac{\beta }{\beta - \alpha }}[/tex]
D)
[tex]\text{The formula for} a_n: \\ \\ a(x) = \dfrac{\alpha }{\alpha - \beta }\sum \limits ^{\infty}_{n=0} \alpha ^n x^n - \dfrac{\beta}{\beta - \alpha }\sum \limits ^{\infty}_{n=0} \beta x^n \\ \\ \implies \sum \limits ^{\infty}_{n =0} \dfrac{\alpha ^{n+1}- \beta ^{n+1}}{\alpha - \beta}x^n \\ \\ a_n = \dfrac{\alpha ^{n+1}- \beta ^{n+1}}{\alpha - \beta } \\ \\ \\ a_n = \dfrac{1}{\sqrt{5}} \Big (\Big( \dfrac{\sqrt{5}+1}{2}\Big)^{n+1}- \Big ( \dfrac{1-\sqrt{5}}{2}\Big) ^{n+1}\Big)[/tex]
What is the area of the shaded region?
Answers
Answer:
12 cm^2
Step-by-step explanation:
As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft
costs $100 to rent and each small raft costs $40 to rent. You have $1,600 to spend. Write and
solve a linear equation to find the number of small rafts you can rent if you rent 12 large rafts.
Answers
Answer:
10 small rafts
Step-by-step explanation:
(1600- 1200) / 40 = 10
1600- 1200 = 400
400 / 40 = 10
12 large rafts costs $1200 so subtract that amount from you budget. If you do that you will have $400 left. So I divided $400 by the amount of money each small raft cost whitch was $40 per small raft so i got the quotient of 10.
Sorry if i worded that weirdly but you get the point.
P.s sorry if it isn't comlety correct but i did my best so... ya
If computers sell for $1020 per unit and hard drives sell for $118 per unit, the revenue from x computers and y hard drives can be represented by
Answers
Answer:
Revenue = 1020x + 118y
Step-by-step explanation:
Revenue = 1020x + 118y
This is an important question to understand. You will use it very shortly when you try and solve 2 equations with 2 unknown. Just to show you what that means, Suppose the revenue is
Revenue = 5808
and 11 items total were sold
x + y = 11 Total number of items sold
1020x + 118y= 5808 Revenue
is the kind of problem you will be solving.
Step-by-step explanation:
a computer sell for $1020
x computer will sell for $1020x
a hard drive sell for $118
y hard drive will sell for $118y
The revenue equals $1020x + $118y
A jury pool has 18 people that are married and 22 people that are not married, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, find the probability that the jury consists of the following. (Give answer as a fraction or a decimal out to at least 4 places. If your answer is very small use scientific notation out to 4 decimal places for example 3.3421E-6.)
Answers
this means there’s a 18/40 probability that people who are married will be chosen
18/40 = 2/5
There is a 22/40 probability people who are un married will be chosen
22/40 = 11/20
A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling less than 3 properties in one week. Round your answer to four decimal places.
Answers
Answer:
0.0011 = 0.11% probability of selling less than 3 properties in one week.
Step-by-step explanation:
For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A real estate agent has 17 properties that she shows.
This means that [tex]n = 17[/tex]
She feels that there is a 50% chance of selling any one property during a week.
This means that [tex]p = 0.5[/tex]
Compute the probability of selling less than 3 properties in one week.
This is
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0[/tex]
[tex]P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001[/tex]
[tex]P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011[/tex]
0.0011 = 0.11% probability of selling less than 3 properties in one week.
Find the lettered angles.
Answers
The cashier determines that the customer's groceries total $156.75. If the sales tax is four percent, how much will the customer have to pay for their groceries, including tax?
Answers
Triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.
What length of segment A'B?
Answers
The length of segment A'B' from the triangle A'B'C' is 6 units.
Given that, triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.
In the given triangle ABC, AB=3 units
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
2=Dimensions of the new shape/3
Dimensions of the new shape=6 units
Therefore, the length of segment A'B' from the triangle A'B'C' is 6 units.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
#SPJ1
Find the volume of the cone th=20 in and r=8 in. Solve in terms of pi and round off the decimal to the
nearest tenths.
Answers
Answer:
426.7pi
Step-by-step explanation:
V = 1/3 pi r2h
1/3 × 22/7× 8 × 8 × 20
426.7 pi
The 1st flat-bar, or cross, or other operator means:
-9-(-7)
Answers
-9-(-7)
-9--7
-9+7
7-9
-2
---
hope it helps
The function f(x) = -(x + 5)(x + 1) is shown.
What is the range of the function?
10
8
O all real numbers less than or equal to 4
O all real numbers less than or equal to -3
O all real numbers greater than or equal to 4
O all real numbers greater than or equal to -3
6
2
-10
-8
4
-2
2
4
8
8
10
X
4
-6
8
-10
Answers
Answer:
a
Step-by-step explanation:
f(x)=-(x+5)(x+1)=-(x²+6x+5)=-(x²+6x+9-9+5)
=-(x+3)^2+4
Range: all numbers ≤4
im super confused pls help
Answers
GIVING 25 PTS URGENT
Answers
Answer:
D) 76 sq in
Step-by-step explanation:
It’s 4 triangles. A=1/2bh
1/2(8)(5)=20 (two of these)
1/2(8)(6)=24
1/2(4)(6)=12
20+20+24+12=76
You had a bag of fruit snacks that you shared with 4 friends. Each of you got 175 or fewer fruit snacks. The inequality x÷4≤175 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag.
Answers
Answer:
Step-by-step explanation:
It’s 20
Find the volume of the composite figure. First, find the volume of the triangular prism. Triangular prism Volume = [?] ft 8 ft Rectangular prism Volume = [ ] ft 10 ft Total Volume of Composite Figure = [ ] ft 14 ft 10 ft
Answers
Answer:
1440ft^3
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
i already did it
.A boat can travel 280 miles on 56
gallons of gasoline. How much
gasoline will it need to go 110 miles
Answers
Answer:
22 gallons
Step-by-step explanation:
280 miles / 56 gallons = 5 miles per gallon
110 miles/5 mpg = 22 gallons
Tanisha is graphing the function f(x) = 25(Three-fifths)x. She begins by plotting the point (1, 15). Which could be the next point she plots on the graph?
(2, 9)
(2, –10)
(2, 14Two-fifths)
(2, 5)
Answers
The next point she plots on the graph is (2,9)
How to determine the next point?The function is given as:
f(x) = 25(Three-fifths)^x
Rewrite properly as:
f(x) = 25(3/5)^x
The first point has an x value of 1.
So, the next would be x = 2
This gives
f(2) = 25(3/5)^2
Evaluate the product
f(2) = 9
So, we have:
(2, 9)
Hence, the next point she plots on the graph is (2,9)
Read more about exponential functions at:
https://brainly.com/question/11464095
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You measure the sides of a pool and find that it is 20 yards wide and 60 yards long.
30 points!
Approximately, how far would it be diagonally between corners of the pool?
63 yards
55 yards
67 yards
72 yards
Answers
Answer:
63
Step-by-step explanation:
Answer: 63
Step-by-step explanation: