8TH GRADE MATH 100 POINTS+BRAINLIEST - Factor Quadratic equations- please write out the steps, explain simply, and possibly provide a couple rules to remember for questions like these in the future. Any offensive answers or ones for the sake of points will be reported THANKS SO MUCH!!!
Also, 5 more 8th grade math questions are coming–GIVING AWAY 600 POINTS
Answers
Hello,
We have : (a + b)² = a² + 2ab + b²
4x² + 20x + 25 = (2x)² + 2 × 2x × 5 + 5² = (2x + 5)² → answer B
Here, we have a = 2x and b = 5 !
Answer:
[tex]\textsf{b.} \quad (2x+5)^2[/tex]
Step-by-step explanation:
Given quadratic equation:
[tex]4x^2+20x+25[/tex]
To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].
[tex]\implies ac=4 \times 25=100[/tex]
[tex]\implies b=20[/tex]
Factors of 100 that sum to 20: 10 and 10
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies 4x^2+10x+10x+25[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies 2x(2x+5)+5(2x+5)[/tex]
Factor out the common term (2x + 5):
[tex]\implies (2x+5)(2x+5)[/tex]
Simplify:
[tex]\implies (2x+5)^2[/tex]
Learn more about quadratic equations here:
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Related Questions
Help Please, I don't understand this
Answers
Firstly, you have to understand that if you talk about slope is a similar word gradient of the graph. So if you are calculating slope you have to use gradient formula:
m= Y2-Y1
X2-X1
therefore, in order for you getting first box & second box you have to use this formula above.
First box answer is:
Points fromthegraph (-2:-2) & (-3:-3)
m= Y2-Y1
X2-X1
m = -3-(-2)
-3-(-2)
m = 1
Second box answer is:
Points fromthegraph (3:3) & (4:4)
m= Y2-Y1
X2-X1
m= 4-3
4-3
m= 1
Third box answer is:
= 4
Forth box answer is:
= -3
How far did I travel to reach my destination on each day of my three-day Trip?
a. On Day 1, after traveling 5/8 of the way to the first day's destination, I still had 15 miles left to go before reaching my first destination.
b. On Day 2, after traveling 18 miles, I still had 2/5 of that day's distance left to go before reaching my second destination.
c. On Day 3, after traveling 5/11 of that day's distance, I still had 6 more miles to travel than what I had already traveled that day, before reaching my third destination.
Answers
Answer:
81 miles
Step-by-step explanation:
Day 1
3/8---15 miles
1/8---5 miles
8/8---40 miles
Day 2
3/5---18 miles
1/5---6 miles
5/5---30 miles
Day 3
6/11---6 miles
1/11---1 mile
11/11---11 miles
Total: Day 1 + Day 2 + Day 3
40+30+11=81
Please help me out on this needed 20-30 mins
Answers
Answer:
x=+10
Step-by-step explanation:
I hope that helps I think it's the right answer if my calculations are correct it's +10
In a triangle, the angles add up to 180 degrees. 46 + (8x-2) must be equal to 11x + 14, as angles on a straight line also equal to 180 and therefore 180 - (11x + 14) is the missing interior angle on the triangle. (angle ABC + angle BAC = angle BCD)
Using these substitutions, we can calculate x.
(8x - 2) + 46 = (11x + 14)
(80 - 2) + 46 = (110+14)
The following box-and-whisker plot shows the distribution of ratings a new restaurant received from 100 food critics that reviewed it. Seventy-five percent of critics did not rate it higher than what number?
Answers
Answer:
8.5
Step-by-step explanation:
according to the image
10-4=6
6 x 75%=4.5
4+4.5= 8.5
please mark as brainliest!!Box plots (or box-and-whisper plots) show what is known as ‘quartiles’. The median point on the box plot is also known as quartile 2, the first point line as quartile 1, and the last as quartile 3. 4 is the minimum rating, and 10 is the maximum as shown by the two horizontal lines on the box-and-whisker plot.
Quartile 3 shows the 75th percentile. As it is situated on 9, seventy-five percent of critics did not rate it higher than 9. Thus, the answer is 9.
someone please help me ASAP!!
Answers
Answer:
P(factor of 20) = P(5) = 1/3
Step-by-step explanation:
The factors of 20 are
1 and 20
2 and 10
4 and 5
or 1, 2, 4, 5, 10, 20
In the spinner wheel, only 5 appears as a factor of 20
Since there are 3 numbers and each of them is equally likely, P(any number landing is) = 1/3
P(5) = 1/3
how can you represent the relationship between paired data and describe patterns of association?
Answers
With scatter plots.
Starting at the same point, Tom and Juanita go biking in opposite directions. If Tom rides at a speed of 16 mph, and Juanita rides at a speed of 18 mph, how far apart will they be in 2 hours? Please help I need the answer like right now! But also take your time to think it through!
Answers
Answer:
Tom and Juanita will be 68 miles apart.
Step-by-step explanation:
16 x 2 = 32 miles
18 x 2 = 36 miles
36 + 32 = 68 miles
Answer:
Sure.
Tom and Juanita are moving in opposite directions, so their speeds are added together. Their combined speed is 16+18=34 mph.
If they travel for 2 hours at a speed of 34 mph, they will travel a distance of 34×2=68 miles.
Therefore, they will be 68 miles apart in 2 hours.
Is there anything else I can help you with?
Step-by-step explanation:
George solved the equation -103 = -2(-7x + 7) + 8x as follows:
-103 = -2(-7x + 7) + 8x
Step 1: -103 = 14x + 7 + 8x
Step 2: -103 = 22x + 7
Step 3: -110 = 22x
Step 4: -5 = x
At which step did he make an error?
Explain the error:
Answers
-103 = -2(-7x + 7) + 8x
-103 = 14x - 14 + 8x
-103 = 22x - 14
-89 = 22x
x = -4
Step 2: -103 = 22x - 14
Step 3: -117 = 22x
Step 4: -5.31818182 = x
*100 POINTS** 7th grade geometry pls help
Answers
Answer:
Height = 10 cm
Step-by-step explanation:
The volume of a pyramid can be found using the following formula:
[tex]\boxed{\large \textsf{$V=\frac{1}{3}Ah$}} \large \textsf{ where:}\\\\ \normalsize \textsf{$\bullet{\,V = $ volume of pyramid$}$}\\ \normalsize \textsf{$\bullet{\,A = $ base area$}$}\\ \normalsize \textsf{$\bullet{\,h = $ perpendicular height$}$}[/tex]
Note: in the question, it states that base area = 12 cm³, however, this is an error (typo), and the area is 12 cm², since area is only in 2 dimensions. length and width, whilst volume is in 3 dimensions. length, width, and height.
Now, we can plug in our data into the formula:
[tex]\large \textsf{$40=\frac{1}{3}12h$}\\\\ \large \textsf{$40=4h$}\\\\\boxed{\boxed{\large \textsf{$\therefore h = 10$ cm}}}\\[/tex]
How far did I travel to reach my destination on each day of my three-day Trip?
a. On Day 1, after traveling 5/8 of the way to the first day's destination, I still had 15 miles left to go before reaching my first destination.
b. On Day 2, after traveling 18 miles, I still had 2/5 of that day's distance left to go before reaching my second destination.
c. On Day 3, after traveling 5/11 of that day's distance, I still had 6 more miles to travel than what I had already traveled that day, before reaching my third destination.
Answers
The total distances you traveled to reach your destination on each day of your three-day trip are as follows:
a) Day 1 = 40 miles
b) Day 2 = 30 miles
c) Day 3 = 11 miles.
How the total distances are determined:The total distances are determined using proportions.
Proportion refers to the fractional value of the whole number or quantity.
a) Day 1:
The fractional distance traveled = ⁵/₈
The remaining distance to travel = 15 miles
15 miles = ³/₈ (1 - ⁵/₈)
Proportionately, the total distance = 40 miles (15 ÷ ³/₈)
b) Day 2:
The distance traveled = 18 miles
The remaining distance to travel = ²/₅
The distance traveled = ³/₅ (1 - ²/₅)
³/₅ = 18 miles
Proportionately, the total distance = 30 miles (18 ÷ ³/₅)
c) Day 3:
The distance traveled = ⁵/₁₁
The distance to travel = 6 miles
The distance to travel in fractions = ⁶/₁₁ (1 - ⁵/₁₁)
Proportionately, if 6 miles = ⁶/₁₁, the total distance = 11 miles (6 ÷ ⁶/₁₁)
Learn more about proportions at https://brainly.com/question/1496357.
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(write a equation in slope-intercept form for each line) please help me I will give brainiest
Answers
Answer:
Question 5: 1
Question 6: -2/3
Question 7: 0.5
Step-by-step explanation:
Answer:
5.y=x+2
6.y=x(-2/3)+5
7.y=x1/2
Step-by-step explanation:
HELP ANSWER HOWLE PAGE PLS
Answers
Step-by-step explanation:
an acute angle is less then 90 degrees, a right angle is 90 degrees, an obtuse angle is more than 90 degrees, a straight angle is 180 degrees, and a reflex angle is more than 180 degrees but less then 360 degrees
i really need help please
Answers
Answer:
If I am thinking correctly its 72.
Step-by-step explanation:
I multiplied 9 x 8 and I got 72, and if I remember correctly your supposed to multiply to get the area.
Hope this helps :>
Explanation: the formula to find the lateral surface area of a cone is pi times the radius times the slant height. The slant height can be found by rooting the radius squared plus the height squared.
So, 4^2 plus 9^2 rooted multiplied by pi and by the radius, which gives you an answer of 123.7644 which is 124 to the nearest whole number.
Hope this helps.
Help...
The Japanese 5 yen coin has a hole in the middle. What are the possible ways to calculate the difference between the outer and inner circumference of the coin? Check all that apply.
Subtract the two diameters and multiply by 3107-11-05-20-05-task
Calculate the circumference of the coin.
Add the two diameters and multiply by 3107-11-05-20-05-task
Subtract the circumference of the hole from the circumference of the coin.
Calculate the radius of the hole.
P.S fr33 points, I know the answers ;)
Answers
Answer:
Subtract the two diameters and multiply by 3107-11-05-20-05-task
Calculate the circumference of the coin.
Subtract the circumference of the hole from the circumference of the coin.
Calculate the radius of the hole.
Step-by-step explanation:
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Answers
Reason I did the work
4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram
Answers
Answer:
10.57 m
Step-by-step explanation:
Let the height of the parallelogram be x m
Area of the parallelogram = base*height
645 = (61 * x ) m
x = 645/61
= 10.57 m
Hope this helps
Height of parallelogram = 10.57m
Given,
Base of parallelogram = 61 m
Area of parallelogram = 645 m²
Now, according to formula
Area of parallelogram = Base × Height
Substitute the given values in the formula,
645 = 61 × height
Height = 10.57 m
Hence, the height of the parallelogram with area 645m² and base 61 m is 10.57 m .
Know more about Parallelogram ,
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For which data set is mean the best measure of central tendency?
A: 94, 98, 96, 100, 97
B: 54, 60, 58, 3, 64
C :26, 29, 71, 28, 71
D: 5, 5, 5, 301, 5
Answers
Answer:
The correct answer would be choice A: 94, 98 , 96, 100, 97
The mean is the best measure of central tendency when the values are close together and there are no outliers. Choice A is the only set with no outliers. The rest of the sets have an outlier which will skew the mean.
Step-by-step explanation:
it might be wrong but i am pretty sure
hope it helped;)
There is no trend on the scatter plot shown below.
True or False
Answers
Answer:
It is true, since you would not be able draw a trend line to it, and there is no relative frequency in the graph.
(explanation please so i can understand)
Triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4). Determine the translation direction and the number of units of the image of triangle JKL if vertex J′ is at (−1, −8).
3 units down
3 units up
7 units to the right
7 units to the left
Answers
Answer:
3 units down
Step-by-step explanation:
J(-1, -5) → J'(-1, -8)
The x coordinate of the vertex J is -1 and does not change in J' (it is still -1)
The y coordinate of J is -5, and for J' is -8. This means the translation direction of 3 units down. (-8- -5 = -3)
Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−1, −1), B′(1, 1), C′(0, 1). Determine the scale factor used.
1
one half
3
one third
Answers
1/3 filler words im smart filler words i failed geometry filler words i think its right filler words
Answer:
1/3
Step-by-step explanation:
What is the surface area of this right triangular prism? PLEASEEE HELPPPP It's 3D geometry
Answers
Answer:
1200 square inches
Step-by-step explanation:
Surface area of right triangular prism:
[tex]\boxed{\text{\bf Surface area of right triangular prism = bh + $\bf (s_1 + s_2+s_3)* l$}}[/tex]
b = base of the triangle = 30 in
h = altitude of the triangle = 8 in
[tex]\sf s_1, ~ s_2, ~ s_3 \ are \ the \ sides \ of \ the \ triangle.\\\\s_1 = 17 \ in, \ ~~ s_2 = 17 \ in, ~~ s_3 = 30 \ in[/tex]
l = length of the rectangle = 15 in
Surface area of right triangular prism = 30*8 + (17 +17 + 30) * 15
= 30*8 + 64 *15
= 240 + 960
= 1200 square inches
Answer: it is going to be 24
Step-by-step explanation:
help me, please thanks
Answers
Answer: 120 feet sqaured
Step-by-step explanation:
Surface area for square pyramid formula: 2bh + b^2
Base = 6 Height = 9
2*6*9+6^2 =
108+12 =
120
Answer:
120 feet squared
Step-by-step explanation:
How many times does 15 go int 135? who ever gets it right gets 500 points
Answers
Answer:
9 times
Step-by-step explanation:
The number 15 multiplied to the number 9 which gives the value 135.
To find the that how many 15 is to get 135, division should be performed.
So, dividing 135 by 15 gives:
= 135 ÷ 15
15 | 135 | 9
135
_______
0
Thus, the quotient is 9.
Therefore, 15 goes into 135 exactly 9 times.
Learn more about Division here:
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The table shows the number of runs earned by two baseball players.
Player A Player B
2, 1, 3, 8, 2, 3, 4, 4, 1 1, 4, 5, 1, 2, 4, 5, 5, 10
Find the best measure of variability for the data and determine which player was more consistent.
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.5.
Player B is the most consistent, with an IQR of 3.5.
Answers
To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.
The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.
Let's calculate the range and IQR for both players:
For Player A:
The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.
To calculate the range:
[tex]\text{Range} = \text{maximum value} - \text{minimum value}[/tex]
The maximum value is 8, and the minimum value is 1.
[tex]\text{Range} = 8 - 1 = 7[/tex]
For Player B:
The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.
To calculate the range:
[tex]\text{Range} = \text{maximum value} - \text{minimum value}[/tex]
The maximum value is 10, and the minimum value is 1.
[tex]\text{Range} = 10 - 1 = 9[/tex]
To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:
For Player A:
Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.
Q1 = 2
To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.
Q3 = 4
The IQR is calculated as:
[tex]\text{IQR} = Q3 - Q1[/tex]
[tex]\text{IQR} = 4 - 2 = 2[/tex]
For Player B:
Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.
Q1 = 1.5
To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.
Q3 = 5
The IQR is calculated as:
[tex]\text{IQR} = Q3 - Q1[/tex]
[tex]\text{IQR} = 5 - 1.5 = 3.5[/tex]
Based on the calculations, we can conclude:
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.
Player B is the most consistent, with an IQR of 3.5.
Therefore, the correct answer is:
Player A is the most consistent, with an IQR of 2.
[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]
♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]
Answer:To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.
The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.
Let's calculate the range and IQR for both players:
For Player A:
The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.
To calculate the range:
The maximum value is 8, and the minimum value is 1.
For Player B:
The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.
To calculate the range:
The maximum value is 10, and the minimum value is 1.
To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:
For Player A:
Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.
Q1 = 2
To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.
Q3 = 4
The IQR is calculated as:
For Player B:
Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.
Q1 = 1.5
To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.
Q3 = 5
The IQR is calculated as:
Based on the calculations, we can conclude:
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.
Player B is the most consistent, with an IQR of 3.5.
Therefore, the correct answer is:
Player A is the most consistent, with an IQR of 2.
♥️ To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.
The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.
Let's calculate the range and IQR for both players:
For Player A:
The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.
To calculate the range:
The maximum value is 8, and the minimum value is 1.
For Player B:
The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.
To calculate the range:
The maximum value is 10, and the minimum value is 1.
To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:
For Player A:
Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.
Q1 = 2
To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.
Q3 = 4
The IQR is calculated as:
For Player B:
Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.
Q1 = 1.5
To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.
Q3 = 5
The IQR is calculated as:
Based on the calculations, we can conclude:
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.
Player B is the most consistent, with an IQR of 3.5.
Therefore, the correct answer is:
Player A is the most consistent, with an IQR of 2.
♥️
Step-by-step explanation:
NAH FR HELP ME PLS IM JUST LEARNING THIS TODAY
Answers
2•2•2
^ ^
4•2=8
Part 1 - Application
Indiana plans to purchase a new gaming system during the 15% off sale. Let c represent the cost of the gaming system. How can you write a function to represent this?
Indiana also knows that he will have to pay the state tax of 10% on his purchase (after the discount is taken). Let p represent the price. How can he write a function to represent this?
Write one single function to help Indiana know how to calculate the final cost.
Answers
Answer:
The single function to calculate the final cost of the gaming system, including a 15% off discount and a 10% state tax, is: final_cost(c) = 0.935c.
Step-by-step explanation:
To represent the cost of the gaming system before any discounts or taxes, we can use the variable c:
c represents the cost of the gaming system.
To represent the price after the 15% off discount, we need to calculate the discounted price by subtracting 15% of the cost from the original cost:
p = c - 0.15c
Simplifying, we get:
p = 0.85c
Here, p represents the price after the 15% discount has been applied.
To represent the price after the 10% state tax has been added to the discounted price, we need to calculate the price with the added tax:
final_price = p + 0.1p
Simplifying, we get:
final_price = 1.1p
Here, final_price represents the price after the 10% state tax has been added.
Therefore, the correct single function to help Indiana calculate the final cost is:
final_cost(c) = 1.1(0.85c)
Simplifying further:
final_cost(c) = 0.935c
10 x 10 to the power of 9 is how many times greater than 5 times 10 to the power of 3
find the answer using scientific notation
Answers
Answer: 2,000,000 or 2*10^6
Step-by-step explanation:
10*10^9 = 10000000000
5*10^3 = 5000
10000000000/5000=2000000
[tex]10x10^9[/tex] = 10 x 1000000000 = 10,000,000,000
5 x 10^3 = 5 x 10 x 10 x 10 = 5,000
Divide 10 x 10^9 / 5 x 10^3 and the answer is
2 x 10^6
I hope this helps you, and if I did anything wrong to this problem, please do let me know :)
Tried to post this last night and no one helped. Please help now. :D
Answers
Answer:
Step-by-step explanation:
2=1
3=3
4=2
5=1
6=3
7=5
8=2
9=4
3-3
4-2
5-1
6-3
7-6
8-2
9-4
10-0
11-2
12-2
Please help i will give points
Answers
Hello !
odd = 5, 7, 9
There are 3 numbers out of a total of 5:
3/5 = 0,6 = 60%
Answer is 60%.
A group of 500 middle school students were randomly selected and asked about their preferred frozen yogurt flavor. A circle graph was created from the data collected.
a circle graph titled preferred frozen yogurt flavor with five sections labeled Dutch chocolate 21.5 percent, country vanilla 28.5 percent, sweet coconut 13 percent, espresso, and cake batter 27 percent
How many middle school students preferred espresso-flavored frozen yogurt?
10
15
50
100
Answers
Answer:
50
Step-by-step explanation:
21.5%+28.5%+13%+27%=90%
100%-90%=10%
however there are 500 students in the school so you have to work out 10% of 500.
10% of 500 = 50
Answer:
50
Step-by-step explanation:
21.5%+28.5%+13%+27%=90%
100%-90%=10%
however there are 500 students in the school so you have to work out 10% of 500.
10% of 500 = 50