The prime factorization of 45 would be 5×9, and 9 is 3×3, so 45 would be 5×3^2.
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PLEASE ANSWER
Select the correct answer.
Caroline rewrote a quadratic equation in vertex form by completing the square, but her work has errors.
Identify the first error in her work.
A.
She incorrectly factored out the value of a.
B.
She subtracted the wrong value to maintain balance after completing the square.
C.
She incorrectly combined the constant terms.
D.
She squared the wrong value when completing the square.
Answer:She incorrectly factored out the value of a.
Step-by-step explanation:
In solving a quadratic equation by completing the square method, the value a is not factored out. Rather, the steps involved are:
Divide through all the terms by a
Move the term c/a to the right had side
Complete the square on both sides using the value of b/2
Obtain the values of x
Answer: B. She subtracted the wrong value to maintain balance after completing the square.
Need help really confusing
12. The table shows the height in feet of a stack of medium sized moving boxes. What is the height of a stack of 14 boxes
height = 2.25 * box.
So, 14 boxes = 2.25 * 14 = 31.5.
2) Write the equation of a line that passes through the point (-4,-5) and is perpendicular to a line that passes through the points (-6, 8) and (10,0).
Answer:
y= - 1/4x
Step-by-step explanation:
The equation of the line passing through that point with the required slope is y=2x+3.
What is slope?The slope of a line is the change in the y-coordinate relative to the change in the x-coordinate. The net change in the y-coordinate is indicated by Δy and the net change in the x-coordinate by Δx. Thus, the change in y-coordinate with respect to change in x-coordinate is given by: m = change in y/change in x = Δy/Δx Where "m" is the slope of the line. The slope of a straight line can also be represented by the formula tan θ = Δy/Δx So, tan θ is the slope of a straight line. In general, the slope of a line indicates its steepness and direction.
Given:
The angle of slope of a line between two points (x1,y1) and (x2,y2) can be easily determined by finding the difference in the coordinates of the points. The slope is usually indicated by the letter "m".
The slope of a line passing through points (x1,y1)and(x2,y2) is given by
m=(y2−y1)/(x2−x1)
The slope ([tex]m^p)[/tex] of a line perpendicular to a line with slope ([tex]m^p)[/tex] is =−1/m because the product of the slopes of two perpendicular lines is -1, except in the pathological case where the lines are parallel to the x and y axis.
slope m of a line, and the coordinates of a known point (x1,y1) it is simple to plug them into the point-slope formula for a line to determine the equation for that line.
y=mx +b
y1=mx1+b
solve for b
Going through those steps:
(x1,y1)=(-6, 8)
(x2,y2)=(10,0)
m=(0-8)(10-(-6))=-0.5
[tex]m^p[/tex]=−1/-0.5= 2
our known point is (−4,−5)
−5=2(−4)+b
-5 = -8+b
b = 3
Therefore, the equation of the line passing through that point with the required slope is y=2x+3.
To learn more about slope, refer;
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can someone help me please !!
Answer:
X= -4 and X =2.
Step-by-step explanation:
use the graph .... and if you wanna be sure.
you use the quadratic formular.
Mr. Atkinson has 5.25 lb of dry fish food. He will put an equal amount of food into 3 containers. How much fish food will be in each container?
Answer:
1.75 lbs
Step-by-step explanation:
5.25/ 3 = 1.75
46 POINTS! BRAINLIEST! PLSSS HELP! ONLY ANSWER IF UR GUD AT MATH!
National Park Animal Populations
You are studying the populations of three animals in a national park. Below are the data sets for the animal populations. Circle the park that you chose:
Yellowstone
x Year
y1 Population 1, Grizzly Bears
(per square mile)
y2 Population 2, Pocket Gophers
(per square mile)
y3 Population 3, Osprey
(per square mile)
x y1 y2 y3
0 4.0 4.0 4.0
1 4.5 4.5 5.8
2 5.0 5.3 7.2
3 5.5 6.4 8.2
4 6.0 8.1 8.8
5 6.5 10.6 9.0
8 8.0 28.6 7.2
10 9.0 60.7 4.0
Everglades
x Year
y1 Population 1, American Alligator
(per square mile)
y2 Population 2, Marsh Rabbit
(per square mile)
y3 Population 3, Florida Panther
(per square mile)
x y1 y2 y3
0 6.0 6.0 6.0
1 6.5 6.5 7.8
2 7.0 7.3 9.0
3 7.5 8.4 9.8
4 8.0 10.1 10.0
5 8.5 12.6 9.8
8 10.0 30.6 6.0
10 11.0 62.7 1.0
Make Sense of the Problem
What do you want to find out?
Analyze the Data
Population 1 (y1): ______________________________ (Write the animal species' name.)
Answer the following questions about the growth function of population 1:
1. Is population 1 increasing or decreasing? (0.5 point)
2. What is the rate of change between year 0 and year 1 for population 1? What is it between year 5 and year 10? Include calculations in your answer. (2 points)
3. Predict the average rate of change from year 5 to year 6 for population 1. Use the average rate of change you found in question 2 in your prediction. (1 point)
4. What type of function best models the growth for population 1? Give a reason for your answer. (1 point)
Population 2 (y2): ______________________________ (Write the animal species' name.)
Answer the following questions about the growth function of population 2:
5. What is the maximum population per square mile during the first 10 years for population 2? (0.5 point)
6. What is the average rate of change for population 2 between years 5 and 10 (x = 5 to x = 10)? (1 point)
7. The average rate of change for population 2 changes by a common ratio (multiplication) of 1.5 each year. What type of function best models this growth? (1 point)
8. Estimate the average rate of change from year 5 to year 6 for population 2. Remember, the average rate of change for this population changes by a ratio of 1.5 each year. Show your work. HINT: First find the average rate of change from year 4 to year 5. (3 points)
Population 3 (y3): ______________________________ (Write the animal species' name.)
Answer the following questions about the growth function of population 3:
9. What is the maximum population per square mile during the first 10 years for population 3? In what year did this occur? (1 point)
10. What is the average rate of change for population 3 between years 5 and 10 (x = 5 to x = 10)? Show your work. Identify the change as an increase or a decrease. (2 points)
11. What type of function best models the growth for population 3? Give a reason for your answer. (1 point)
12. Use the graph provided. When do all three populations contain the same number of animals? (1 point)
13. Use the following graphs to verify your work on this question.
A. Estimate the average rate of change from year 5 to year 8 for population 3. Show your work. (2 points)
B. Estimate the average rate of change from year 8 to year 10 for population 3. Show your work. (2 points)
C. Based on the answers to Parts A and B, estimate the number of animals in population 3 in year 15, and give a reason for your estimate. (1 point)
Yellowstone
What do you want to find out?
-What type of function best models the population growth for each species
Population 1 (y1):
Grizzly Bears
1. Increasing
2. (4.5-4.0)/(1-0) =0.5
3. 0.5. The rate of change between year 5 to year 6 is the same as that between year 0 to year 1.
4. Linear
Population 2 (y2):
Pocket Gophers
5. 60.7 population per square mile
6. (60.7-10.6)/(10-5) =50.1/5 =10.02
7. Exponential
8. From year 4 to year 5, (10.6-8.1)/(5-4) =2.5
The estimated rate of change from year 5 to year 6:
2.5 x 1.5 =3.75
Population 3 (y3):
Osprey
9. 9 population per square mile. This occurred in year 5.
10. (4-9)/(10-5) =-5/5 =-1
This is a decrease
11. Quadratic, the numbers increase as well as decrease.
12. Circle the point where x=0 (the point where the three lines intercept)
The initial point, where x=0, y1,y2,y3 =4
13. A. (7.2-9)/(8-5) =-1.8/3 =-0.6
B. (4-7.2)/(10-8) =-3.2/2 =-1.6
C. (-1.6)-(-0.6)/(10-5) =-0.2
the formula is
-0.2*(x^2)+2x+4
Substituting x with 15,
-0.2*(15^2)+2(15)+4
=-45+30+4
=-11 population per square mile
Answer:
i was wondering and it wont let me comment- did u use any answers from the person who answered or are they all yours?
Step-by-step explanation:
The sides of a triangle measure 2+ 5,−4, and 3(2+ 1). What is the perimeter of the triangle?
(01.03 MC)
What is the simplified expression for 3* •2°•3?? (1 point)
24
O 1) 3
2
2)
3)
2
14) 2
Answer:c
Step-by-step explanation:
The city council voted on a new tax. 20 city council members voted in favor of the tax and 60 voted against the tax. What percentage of the city council members voted in favor of the tax?
Answer: 25%
Step-by-step explanation: The total number of city council is 80 and 20/80 is 1/4
The distance between point (-4,5) and another point is 10. What are the possible coordinates of the other point?
Answer:
Use the distance formula;
d = SQR[(x2 - x1)^2 + (y2 - y1)^2]
d = 10 and (x2, y2) = (-4, 5)
10 = SQR[(-4 - x1)^2 + (5 - y1)^2]
Step-by-step explanation:
need answer asap Whole numbers: ___ + ___ + ___ = _____ cups of soup mix.
Answer:
1+2+3=6 lol jk i dont have the numbers that they gave you
Step-by-step explanation:
Vanessa collected Barbie dolls. She began with 2 dolls and added the same amount of dolls to her collection each year. In the 24th year, Vanessa had 98 dolls. Which function, d(n), can be used to determine the number of dolls Vanessa had in any year? Show complete working format please
Answer:106
Step-by-step explanation:
106
Simplify: 3.32 +8+2 - (4 + 3)
Answer:
6.32
Step-by-step explanation:
Answer: 6.32
Step-by-step explanation:
Dao has 2 38 pounds of hamburger meat. He is making 14pound hamburgers. Dao has enough meat to make 10 hamburgers. True Or False?
which expression represents this model?
Answer:
3-6 I think
Step-by-step explanation:
the sum of 5 angles of an octagon is 840. What measures of the remaining 3 angles if they are congruent to one another?
Answer:
80⁰
Step-by-step explanation:
1080-840=240
240÷3=80
80=80=80
congruent means each angles are the same measure.
Help me out pleaseeeee
Timothy went to a baseball game. After the game, he wanted to ride the bus home. The red and blue line buses both stop at the stadium. * A red line and a blue line bus both leave the stadium at 4:00 p.M. * Red line buses leave the stadium every 6 minutes * Blue line buses leave the stadium every 8 minutes If the game is over at 4:30 p.M., what bus will the kids take if they wanted to leave the stadium at the same time after the game was over?
Answer:
Red bus if it takes no time to reach the bus from stadium.
Blue bus if it takes some time to reach the bus from stadium.
Step-by-step explanation:
Given that:
Red bus leaves the stadium every 6 minutes starting from 4:00 PM.
So, the timings for red bus are:
4:00 PM, 4:06 PM, 4:12 PM, 4:18 PM, 4:24 PM, 4:30 PM, 4:36 PM, 4:42 PM, ......
Blue bus leaves the stadium every 8 minutes starting from 4:00 PM.
So, the timings for Blue bus are:
4:00 PM, 4:08 PM, 4:16 PM, 4:24 PM, 4:32 PM, 4:40 PM, 4:48 PM, ......
Also Given that, game is over at 4:30 PM, so near to that time Red bus leaves at 4:30 PM and then Blue bus leaves at 4:32 PM.
Therefore, the answer is:
Red bus if it takes no time to reach the bus from stadium.
Blue bus if it takes some time to reach the bus from stadium.
Jim had three more than twice the number of doughnuts as Jane. Jim had 15 doughnuts. What is the equation to find out how many doughnuts Jane had?
Answer:
x = 15 * 2 + 3
Step-by-step explanation:
hope this helps!
PLEASE HELP ASAP I WILL GIVE BRAINLIEST TO WHOEVER GIVES THE RIGHT ANSWER FIRST
Answer:
I got you buddy! it's (32+2)(32+10)
Step-by-step explanation:
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
Find one factor of the form [tex]kx^m+n[/tex], where [tex]kx^m[/tex] divides the monomial with the highest power [tex]9x^4[/tex] and [tex]n[/tex] divides the constant factor [tex]20[/tex].
Factor the polynomial by dividing it by this factor:
[tex]3x^2+10[/tex]The following polynomials are not factored since they do not have any rational roots:
[tex]3x^2+2[/tex][tex]3x^2+10[/tex]______________________________
[tex]\bold{Answer:}[/tex]
The factored form of [tex]9x^4+36x^2+20[/tex] is:
[tex]\bold{(3x^2+10)~(3x^2+2)}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}[/tex]
Is this a good freestyle poem
Do you have a recommendation
What would people say if I were gone?
What would they write on my tombstone?
In 10 years would they even remember me?
If I don't even like myself why would people like me?
I feel like I am carrying my problems up a mountain, people have tried and helped but after a while, they just walk away.
Someone asks me can you take some of mine, of course, why not.
I feel like I am letting myself be crushed by my own problems but I want to help everyone else.
I don't want anyone to feel like I do so I try to take their problems to.
I have taken to many I am finally falling.
I am falling off the mountain will anyone even try to stop me from falling or will they let me go.
Let me go. Let me go.
Sometimes I wish someone would save me because I have been trying to save myself for too long.
But others times I wnder do they really want to help me or do they just want me to take some of their pain?
Answer:
Yes that is actually a good free verse, it contains emotions, questions, ( rhetorical) it don't have a repletion, a word that repeats in each stanza, but yes it is very good i actually showed this to my teacher and she said it was good :)
How does a circle help create a trianglular shape
Answer:
Make a dot where the circles intersect at the top. Using the ruler, draw a straight line from the top dot to each center point. Then connect each center dot with a horizontal line. This is the birth of the triangle!
Alright anyone that can help me?
The answer is D, [tex]\sqrt2[/tex]
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The TCMS Mustangs played the GCF Grizzlies. On the opening kickoff the ball traveled 35 yds. The running back ran for 17 yards on the next play. The quarterback was sacked for a loss of 5 yds. The next 3 plays had a gain of 4 yards per play. What was the total change in the position of the ball on the field?
Answer: The total change in the position of the ball on the field =24 yards
Step-by-step explanation:
According to integers, every loss is represented by negative integers and every gain is represented by positive integers.
As per given total run = 35+17-5+3(4)
= 59 yards
Change in position = 59 yards - 35 yards
= 24 yards
Hence, the total change in the position of the ball on the field =24 yards
Each baseball hat costs the same amount of money. The cost for 18 baseball hats was $216. What is the unit price?
Answer:
15%
Step-by-step explanation:
if u did the 216 divided by the 18 then that's how u get estimated number
A newborn baby has about 26,000,000,000 cells. An adult has about 1.9 X 10^3 times as many cells as a newborn. About how many cells does an adult have? Write your answer in scientific notation.
Answer:
1900
Step-by-step explanation:
26,000,000,000 cells = 2.6 x 10^10 (baby cells)
An adult has about 4.94 times 10 to the thirteenth power
(4.94 x 10^13)/(2.6 x 10^10) = 1.9 x 10^3 = 1900
What is the relationship between ∠1 and ∠8?
Answer:
Alternate Exterior Angles
Step-by-step explanation:
The relationship between [tex]\angle 1[/tex] and [tex]\angle 8[/tex], are Alternate Exterior Angles, because those two angles are in the outside of the transversal line and they are in opposite sides.
Angel has an action figure collection of 300 action figures. He keeps 267 of the action figures on his wall. What percentage of Angel's action figure collection does he keep on his wall?
Answer:
89% of Angel's action figure collection keeps on his wall.
Step-by-step explanation:
Percentages
To calculate the X% of a quantity Y, we must multiply both numbers and divide by 100:
X% of Y = X * Y / 100
For example, 15% of 780 = 15 * 780 / 100 = 117
If we want to know what percentage is m with respect to n, we proceed as follows:
percentage = m / n * 100%
Anges has a 300 action figures collection, 267 of which are kept on his wall. Here m=267, n=300, thus:
percentage = 267 / 300 * 100% = 89%
89% of Angel's action figure collection keeps on his wall.
A sample of 100 mg of cobalt is studied over time. After 1 year, the sample was measured at 97.5 mg. If the size of the sample continues to change at the same rate, which equation models the change?
Answer: B
Step-by-step explanation: The answer is B
Answer:
B
Step-by-step explanation: