Answer:
The factored expression is: [tex]2x(x + 3)[/tex]
Step-by-step explanation:
We are given the following expression:
[tex]2x^2 + 6x[/tex]
To factorize it as fully as possible, we first find the GCF between the numeric values, and the coefficients:
Numeric:
GCF between 2 and 6 is 2, because:
2 - 6| 2
1 - 3|
1 and 3 are not divisible by the same number, so 2.
Coefficient:
Between x² and x, x.
Factorizing:
Simplifying by 2x.
[tex]2x(\frac{2x^2}{2x}+\frac{6x}{2x}) = 2x(x + 3)[/tex]
The factored expression is: [tex]2x(x + 3)[/tex]
Which equation represents a line with a slope of -8 and
a y-intercept of 4?
y = -8x4
y = - 4x +8
y = -8x4
y = 8x+4
The equation y = -8x + 4 represents the given problem.
What is slope and y-intercept?'The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis.'
According to the given problem,
We know,
Equation of a line can be represented as,
y = mx + c, where, m = slope
c = y-intercept
Slope of the line = -8
Y-intercept of the line = 4
Therefore,
The equation of the line:
⇒ y = -8 + 4
Hence, we can conclude, the equation y = -8x + 4 represents the given line.
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A ball is thrown from an initial height of 3 feet with an initial upward velocity of 17 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=3+177-1612
Find all values of t for which the ball's height is 7 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
1 = || seconds
DO
X
?
initial
height
ground
Answer:
what you should be asking is what the color of the balls are and if their juicy
3. The value of a painting rises from £120,000 to £192,000. Work out the percentage increase in the value of the painting. *
Answer:
The value of a painting rises from £120,000 to £192,000. Work out the percentage increase in the value of the painting. 72000.
Please help. find the missing side of each triangle
Answer:
x = √146 = 12.1 (nearest tenth)
Step-by-step explanation:
Apply pythagorean theorem, c² = a² + b², where,
c = x
a = √82 km
b = 8 km
Plug in the values
x² = (√82)² + 8²
x² = 82 + 64
x² = 146
x = √146 = 12.1 (nearest tenth)
PLEASE HELP
HELP
ILL MARK BRAINLIEST
HELP
HELP
PLEASE HELPP
Answer:
D
Step-by-step explanation:
The others don't work as it would if it was the older men
PLEASE HELP !
I AM RUNNING OUT OF TIME
Answer:
149
Step-by-step explanation:
If you order the numbers from smallest to biggest and then find the middle number it is 149
Answer:
Median is 149
Step-by-step explanation:
just sum extra info lol<3
min is 144
mean is 150
max is 160
so in order: 144,145,147,148,149,150,152,155,160
hope i could help:)
177 is what percent of 300? Round your answer to the nearest tenths.
Answer: 59%
Step-by-step explanation:
Hope this helps have a great day. :)
Answer:
59%
Step-by-step explanation:
I would solve this through proportions
177 x
300 100
Cross multiply
177 x 100 = 17700
And then divide
17700/300 = 59
The answer is 59%
A glass is full. Then 65cm3 of orange juice is poured in.
The glass is now
6/7
full. What is the total volume of the glass?
Answer: 74.2857143 milliliters
Step-by-step explanation:
65cm3 + 9.28571429 milliliters = 74.2857143 milliliters
ava pours 3 gallons of paint equally into 5 cans. how many gallon of paint will there be in each can?
Answer:
15 gallons of paint
Step-by-step explanation:
5 x 3 = 15
equal groups !
Driving would be more pleasant if we didn't have to put up with the bad habits of other drivers. A newspaper reported the results of a Valvoline Oil Company survey of 500 drivers in which the drivers marked their complaints about other drivers. The top complaints turned out to be tailgating, marked by 22% of the respondents; not using turn signals, marked by 19%; being cut off, marked by 14%; other drivers driving too slowly, marked by 9%; and other drivers being inconsiderate marked by 5%.
Required:
Make a Pareto chart showing percentage of drivers listing each stated complaint.
Answer and Explanation:
The Pareto chart is used in descriptive statistics and shows graphically the most frequent occurencies(complaints in this case) using bars and lines.
Please find attached
Cassidy is planning to obtain a loan from her bank for $210,000 for a new home. The bank has approved Cassidy's loan at a fixed annual interest rate of 2.7% compounded monthly for 15 years. Use the formula to determine Cassidy's approximate monthly payment.
P = Fp(t)/1 - (1+t)^-n
Answer choices:
A. Cassidy’s approximate monthly payment will be $5,717.26
B. Cassidy’s approximate monthly payment will be $1,721.15
C. Cassidy’s approximate monthly payment will be $1,474.58
D. Cassidy’s approximate monthly payment will be $1,420.11
Answer:
$1,420.11
Step-by-step explanation:
I just took the test and got it right
Cassidy's approximate monthly payment is $1420.11 if Cassidy is planning to obtain a loan from her bank for $210,000 for a new home option (D) is correct.
What is a loan amortization schedule?It is defined as the systematic way of representing of loan payments according to the time in which the principal amount and interest are mentioned in a list manner
It is given that:
Cassidy is planning to obtain a loan from her bank for $210,000 for a new home.
A fixed annual interest rate of 2.7% compounded monthly for 15 years.
The formula is:
[tex]P=\rm \dfrac{Fp(i)}{1-(1+i)^{-1}}[/tex]
Plug all the values in the above formula:
[tex]P=\rm \dfrac{210000(2.7\%/12)}{1-(1+(2.7\%/12))^{-15\times12}}[/tex]
After calculating:
P = $1420.11
Thus, Cassidy's approximate monthly payment is $1420.11 if Cassidy is planning to obtain a loan from her bank for $210,000 for a new home.
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the triangles below are similar.
Answer: 54
Step-by-step explanation:
Since the triangles are similar, the sides form s equalivent proportion. The hypotunse of the bigger triangle and the smaller triangles correspond with each other and the base of the smaller and larger triangle correspond so we use this proportion: hypo. of big triangle/ base of larger triangle= hypo of smaller triangle/ base of smaller triangle.
Let substitue: 52.5/x= 5/4: ( I Reduce 15/12 into 5/4).Cross multiply: 210=5x: Divide by 5 both sides. x=42. Then add the 42 and and the 12 to find the whole distance which is 54.
Edward runs 30 miles in 5 days. Martha runs 28 miles in 4 days. Who runs more miles per day?
solve the following problem. round to one decimal place if necessary. if your answer is correct you will see an image appear on your screen
Answer:
theres no picture
Step-by-step explanation:
...............??..?.?.?.?.?.??..??...??..?.??...??..?.?.? a
Answer:
Step-by-step explanation:
2+2=4
the difference of f and 1/3 is 1/12
Answer:
1/4
Step-by-step explanation:
1/3 - 1/12 = 4/12 - 1/12 (LCM)
= 3/12
=1/4 (simplified)
Please solve this for 15 points explain please
Answer:
1.25 cups
Step-by-step explanation:
Since you have 5 5/8 cups = 4 1/2 water bottles
you can make it
5.625 cups = 4.5 water bottles
Then, all you have to do is divide both sides of this equation by 4.5, so
5.625 / 4.5 = 1 water bottle
1.25 cups = 1 water bottle
HELP IM TIMES FOR 20 MINUTES! IVE BEEN ON THIS FOR THE LONGEST!
Answer:
Point d
Step-by-step explanation:
because the x is -2 and the y is 3 so you look for the x and then the y
quadrilateral ABCD is a kite with an area of 14cm squared. the length of ED is 5 cm. what is the length of BE?
Answer:
85
Step-by-step explanation:
The length of BE is 5.6 cm.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
The area of a kite can be calculated as;
A = d1 x d2 / 2
WE are given the parameters as;
d1 = ED = 5 units
A quadrilateral ABCD is a kite with an area of 14cm squared.
Therefore,
14 = 5 x BE / 2
14 x 2 = 5 BE
28 = 5 BE
BE = 5.6 cm.
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Magda works at a charity for homeless people.
She needs to make lunch for 15 people.
Magda knows this rule to find the amount of rice she needs to cook.
Magda thinks she needs to cook 10 cups of rice for 15 people.
Is Magda correct?
Answer:
yes
Step-by-step explanation:
if their is no explaining the best choice would be yes
A team of ten cyclists wants to choose leaders. in how many ways can the team choose one captain and then two assistants?
PLS HELP QUICKKK
Answer:
720
Step-by-step explanation:
10 times 9 times 8 equals 720
720 ways can the team choose one captain and then two assistants.
We need to find how many ways can the team choose one captain and then two assistants.
What is the formula to find the permutation?The formula to find the permutation is [tex]nP_{r} =\frac{n!}{(n-r)!}[/tex].
Now, [tex]10P_{3} =\frac{10!}{(10-3)!}[/tex]
=10×9×8×7!/7!=720
Therefore, one captain and then two assistants can be chosen in 720 ways.
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Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. 2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. 3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote.
4. If Kevin wrote 21 posts, how many did Cheryl write?
Answer:
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)
The expression will be P for "of posts Kevin writes."
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)
The operation I will use is subtraction so P-7.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)
Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )
4. If Kevin wrote 21 posts, how many did Cheryl write? (3 points)
Cheryl wrote 14 posts, because 21 - 7 = 14
Hope this helps <3
1. We have chosen a variable 'x' to represent the number of posts by Kevin.
2. Subtraction applies to this situation.
3. The number of posts written by Cheryl is (x - 7).
4. If Kevin wrote 21 posts, Cheryl wrote 14 posts.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Let, Kevin writes 'x' number of posts,
Therefore, Cheryl writes (x - 7) posts.
We could have chosen any letters for the number of posts Kevin writes,
And as Cheryl writes fewer posts than Keving we subtracted the number.
If Kevin writes 21 posts, 'x' is 21, And hence Cheryl has written,
(21 -7).
= 14 posts.
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Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F. please say the equation.
Answer:
0.25 hours
Step-by-step explanation:
The equation for a linear function is given by:
y = mx + b,
where y and x are variables, m is the rate of change of y with respect to x and b is the initial value of y (value of y when x = 0).
Let x represent the number of hours after 1:00 P.M and let y represent the temperature in degree Fahrenheit.
Let us assume that initial the temperature is 0°F. The temperature changes -4 degrees Fahrenheit per hour. From the equation of a linear function y = mx + b:
m = -4 degrees Fahrenheit per hour, b = 0. Hence:
y = -4x
The time taken to reach -1°F is gotten by substituting y = -1 and finding x:
y = -4x
substituting:
-1 = -4x
x = -1 / -4
x = 0.25 hours
0.25 hours = 0.25 hours * 60 minute / 1 hour = 15 minute
Therefore at 1:15 P.M, the temperature is -1°F
Which events are independent? Choose all that apply.
A. There is lightning outside. The baseball game is canceled due to lightning,
B. Ahmad flips a coin and records the result. Ahmad flips the same coin again and records the result.
O c. One name is randomly chosen from a bag. The name is not replaced and another name is randomly chosen
D. Jason votes for president of the city council in the morning. Hae Sung votes for president of the city council in the afternoon
Answer:
i'd say the answer is b. i hope this helps
Answer:
B,C,D
Step-by-step explanation:
Can someone help!!!!
Answer:
12.7=x
Step-by-step explanation:
y=mx+b
10=.65x+1.75
-1.75 -1.75
8.25=.65x
.65 .65
12.69=x round up
12.7=x
Help me guys, Due now please
Answer:
about 8.3 miles an hour.
Step-by-step explanation:
34/4 is 8.5
90/11 is 8.2
average: 8.3
What lines are perpendicular to 3x+6y=5
Answer:
u means that to make the equations
Answer:
the line on the point 1.2 and 4.5
Step-by-step explanation:
X-8-3X-10
Use distributive property
Answer:
5x-10
Step-by-step explanation:
8x-3x-10
first you subtract 3from 8 and get 5 just add the x so your left with 10
Answer:
-2(x+9)
Step-by-step explanation:
x-8-3x-10
-4x-18
-2(x+9)
Hope it helps you
Glenn bought 3 pounds of tomatoes. He used § of them to make sauce.
Make an equation that shows the number of pounds of tomatoes Glenn used for the sauce.
Answer:i dont kno what number u put
Step-by-step explanation:
Which answer is a solution for x?
X/7= 8
A 8
B 15
C 48
D 56
HELP MEH PLS PLS ASAP PLEASE
