Answer:
2x(5x + 3)
Step-by-step explanation:
Factor out common factors. Note that both terms have x inside it. Therefore, you will factor out one x from each term.
Note the factors of both 10 & 6:
10: 1 , 2 , 5, 10
6: 1 , 2 , 3, 6
Note that the greatest factor shared is 2. Divide 2 and x out from both terms:
(10x² + 6x)/2x = 5x + 3
2x(5x + 3) is your answer.
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A triangle has two sides of length 19 and 3. What is the largest possible whole number length for the third side?
========================================================
Explanation:
Consider a triangle with side lengths a,b,c such that a < b < c
a = 3 and b = 19 are the two known sides
Let c be the missing side length
The missing side has the property that...
b-a < c < b+a
19-3 < c < 19+3
16 < c < 22
Meaning that if c is a whole number then it can take on any of these values {17, 18, 19, 20, 21}
So c = 21 is the largest possible third side, where only whole number sides are considered.
We can't have a third side of 22 because the two other sides add to a+b = 3+19 = 22 and a triangle wouldn't form (instead only a straight line would). I recommend cutting out strings of paper trying this out yourself.
---------------
Side note: The inequality b-a < c < b+a is a variation of the triangle inequality theorem.
3
Rewrite the equation y= 3/7x + 4 in standard form.
Answer:
I think it is 3x-7y=-28
y = (25 - 2) (35 - 2).
Multiply the binomials.
Answer: y=759
Step-by-step explanation:
y = (25 - 2) (35 - 2)
y = (23) (33)
y = 759
Answer:
y = 759
Step-by-step explanation:
subtract the numbers
y = 23 (35 - 2)
y = 23 x 33
Multiply the numbers
y = 759
Solution
y = 759
Can i get some help im really confused and im in the test
Answer:
b y= 3x+6 is the ans but not sure
How is 0.000000006532 expressed in standard scientific notation? please tell me i wanna pass
Answer:
6.532 x 10^-9
Step-by-step:
1. 0.000000006532
2. move the decimal to where the first number is greater than or equal to 1 and less than 10. In this case we move the decimal to the right 9 times. You will get 6.532
3. We moved the decimal to the right meaning the power to 10 would be a negative number. The number is how many times we moved the decimal by 1 spot, in this problem we moved it 9 times. 6.532 x 10^-9 is what you should get for scientific notation
46. Hannah walks dogs for four different families. She charges each family the same
amount of money per hour. The numbers of hours she worked last week walking
dogs for each of the families are shown.
14 hours, 2 hours, 13 hours
, 3 hours
Hannah earned $93 for the hours she worked last week walking dogs.
• Calculate the amount of money Hannah earns per hour for walking dogs
• Write an equation that can be used to determine the amount of money, m, in
dollars, Hannah earns when she works h hours walking dogs.
• Show your work or explain your answer.
Answer:
Hannah earns $2.9 per hour for walking dogsThe equation is m = $2.9hStep-by-step explanation:
From the question,
Hannah walks dogs for four different families and charges them the same amount of money per hour. Also, The numbers of hours she worked last week for each of the families are 14hours, 2 hours, 13 hours, and 3 hours.Hence, she worked for a total of (14 + 2 + 13 + 3) hours.
(14 + 2 + 13 + 3) hours = 32 hours
Hence, she worked for a total of 32 hours last week.
Also, she earned $93 for the hours she worked last weekTo calculate the amount of money Hannah earns per hour for walking dogs, that will be
$93 ÷ 32 hours = $2.9/hour
Hence, Hannah earns $2.9 per hour for walking dogs
For the equation that can be used to determine the amount of money, m, Hannah earns when she works h hours walking dogs,
If she works h hours for working dogs, then she will earn
$2.9 × h = $2.9h
Hence,
m = $2.9h
Where m is the amount of money Hannah earns in dollars
and h is the number of hours she spends walking dogs.
The number written 3.76ee13 in scientific notation
Answer:
yes also what is the question
Jacob and Joe are selling cheesecakes for a school fundraiser customers can buy New York style cheesecake and strawberry cheesecakes Jacobs or six New York style cheesecake's and six strawberry cheesecakes for a total of $96 Joe sold one New York style cheesecake and four strawberry cheesecake for a total of $52 what is the cost of each of one New York style cheesecake and one strawberry cheesecake
Step-by-step explanation:
Given data
Let the cheese be x
And strawberry be y
So
6x+6y=96-------1
x+4y=52----------2
Solving 1 and 2 simultaneously
Let us multiply equation 2 by 6 we have
6x+6y=96
6x+24y=312
-0-18y=-216
18y=216
y=216/18
y=12
Put y=12 in equation 2
x+4*2=52----------2
x+8=52
x=52-8
x=44
cheese =44
strawberry =12
What are the solutions of this quadratic equation?
X^2 = 16x – 65
Answer:
x= 4.3125
Step-by-step explanation:
Answer:
x=4+7i and x=4-7i
Step-by-step explanation:
Rewrite the given quadratic equation by completing the square.
x^2-8x=-65
x^2-8x+16=-65+16
x^2-8x+16=-49
(x-4)^2=-49
Now, solve the equation by applying the square root property and isolating x.
(x-4)^2=-49
√(x-4)^2 = √-49
x-4=+7i
x=4+7i
So, the solutions to the given quadratic equation are x+4+7i and x=4-7i.
3
Find an equation for a cosine function that has an amplitude of 3/5, a period of 270°, and a y
intercept of 5.
Answer:
y=sin2x+3
Step-by-step explanation:
Which of the following is the factor of 5x - 35?
A. 5(x - 7 ) B. 5(x + 7)
C. 7(x - 5) D. 7(x + 5)
Answer:
a
Step-by-step explanation:
21/4 times the quantity 51/2 minus k
Need help writing a expression for this phrase
Answer:
21/4 x 51/2 - k use the app Photomate if wrong
Warren paid $23.85 and received no change. He is a member and rented 2 lanes. how many pairs of shoes did he rent?
MEMBERS COST: $2.95
i'm not sure how much the lanes are, so i'm gonna list the prices of pairs of shoes so you can just add the price of the lanes and find the answer:
1 pair - 2.95
2 pairs - 5.90
3 pairs - 8.85
4 pairs - 11.80
5 pairs - 14.75
6 pairs - 17.70
7 pairs - 20.65
8 pairs - 23.60
(thats the highest amount of shoes he could get)
Alex prepares goody bags for his guests. He has 30 Minifigures and 24 spinners. How many goody bags can he make if he wants to put the same number of Minifigures in each bag and the same number of spinners in each bag with no toys left over?
Answer:
he can make 6 goodie bags
Step-by-step explanation:
The meter is the standard unit for:
weight
height
mass
length
100% A coin is tossed 100 times. Which is the best estimate for the number of times the coin will land heads up?
A 10
B. 20
c. 50
D. 80
E. 100
Answer:
C.50
Step-by-step explanation:
It would be 50 because there are 2 sides to the coin. So if you take 100/2 you get 50. that would be the best estimate answer in my opinion
Number of times the coin will land heads will be 50
What is Binomial Distribution?
Number of trials or observation when each trial has the same probability of attaining one particular value. It determines the probability of observing a specified number of successful outcome in a specific number of trial.
Here , number of times the coin had tosses: 100
P(probability of getting a head in a coin ) : number of time head can come when flipped once / total number of observations
since , head can come once and there are two possibility either head or tail
hence P= 1/2
this implies number of times heads land up = n*P = 100 *(1/2) = 50
option c) 50
Let us learn more about binomial distribution:
https://brainly.com/question/13634543?referrer=searchResults
#SPJ2
What is an equation of the line that passes through the points (5,4) and (2,-2)
Answer:
2
Step-by-step explanation:
Slope equation: (y2-y1)/(x2-x1)
y2 = 4, y1 = -2, x2= 5, x1 = 2
4 – -2 = 6
5 - 2=3
6/3 = 2
y + 15 - 8 = 22
What does y equal?
Answer:
15
Step-by-step explanation:
y +15-8 =22
y +15 =22 +8
y +15 =30
y =30-15
y=15
100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) Two rental car companies costs are compared below. At what mileage is the cost for the two companies the same?
Answers:
15 miles
25 miles
They are never the same
20 miles
Answer:25
Step-by-step explanation:
The 2013-14 roster of the Seattle Seahawks, winners of the 2014 NFL Super Bowl, included 10 defensive linemen and 9 offensive linemen. (Data set may be found here.) The weights in pounds of the defensive linemen were 254 311 297 323 260 242 300 252 303 274 and the weights of the offensive linemen were 310 315 305 318 298 301 321 332 320 (a) Make a back to back stemplot of the weights of the offensive and defensive linemen. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Find the five-number summary for the offensive line. (Enter your answers to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (b) Find the five-number summary for the defensive line. (Enter your answer to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (c) Which group of players tends to be heavier? Offensive Defensive
Answer:
Step-by-step explanation:
The weights in pounds of the defensive linemen were :
254,311, 297, 323, 260, 242, 300, 252, 303, 274
Ascending order: 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323
The weights in pounds of the offensive linemen were :
310 ,315, 305, 318, 298, 301, 321, 332, 320
Ascending order:298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332
a)
Offensive line Stem Defensive line
24 | 2
25 | 2 , 4
26 | 0
27 | 4
8 | 29 | 7
1,5 | 30 | 0,3
0,5,8 | 31 | 1
0,1 | 32 | 3
2 | 33 |
Five number summary of offensive line:
1) minimum: 298
2) maximum: 332
3)
Lower quartile:298 ,301 ,305 ,310
Q1 is the median of lower quartile
[tex]Q1=\frac{301+305}{2}=303[/tex]
4)
Upper quartile:318 ,320 ,321 ,332
Q3 is the median of upper quartile
[tex]Q3=\frac{320+321}{2}=320.5[/tex]
5)
Q2 is the median
298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332
Mid value =[tex]\frac{9+1}{2}[/tex]=5th term = 315
Q2=315
Five number summary of defensive line:
1) minimum: 242
2) maximum: 323
3)
Lower quartile:242 ,252 ,254 ,260 ,274
Q1 is the median of lower quartile
Q1=254
4)
Upper quartile:297 ,300 ,303 ,311 ,323
Q3 is the median of upper quartile
Q3=303
5)
Q2 is the median
242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323
Mid value =\frac{274+297}{2}=285.5
Q2=285.5
c) Mean weight of offensive line = [tex]\frac{298+301+305+310+315+318+320+321+332}{9}=313.33[/tex]
Mean weight of defensive line = [tex]\frac{242+252+254+260+274+297+300+303+311+323}{10}=281.6[/tex]
Mean weight of offensive line is more
So, Offensive group of players tends to be heavier
PLEASE HELP Will give brainliest! Write the equation in y=mx+b form for the line on the graph. PLEASE
Answer:
y=-1.9x-1
Step-by-step explanation:
PLEASE HURRY!!! 10 POINTS Which ordered pair would form a proportional relationship with the point graphed below?
100ty
90
80
70
60
50
40
30
20
10
45.30)
10 20 30 40 50 60 70 80 90
(10, 10)
(25, 35)
(70, 50)
Answer:
50
Step-by-step explanation:50 is the right answer!!
If the domain of the sqaure root function f(x) is x <= 7, which statement must be true?
A) 7 is subtracted from from the x term inside the radical.
B) The radical is multiplied by a negative number.
C) 7 is added to the radical term.
D) The x-term inside the radical has a negative coefficient.
Answer:
D
Explanition:
Some equations have the form y=kxy=kx, where kk is a number.
Which equation CANNOT be written in the form y=kxy=kx?
Answer:
[tex]x = 4y[/tex]
Step-by-step explanation:
Given
[tex]y = kx[/tex]
See attachment for options.
Required
Determine which of the options answers the question
Analyzing the option one after the other:
[tex]\frac{x}{y} = 4[/tex]
Multiply through by y
[tex]y * \frac{x}{y} = 4 * y[/tex]
[tex]x = 4y[/tex]
Divide through by 4
[tex]\frac{x}{4} = \frac{4y}{4}[/tex]
[tex]\frac{x}{4} = y[/tex]
This can be rewritten as
[tex]y = \frac{x}{4}[/tex]
[tex]y = \frac{1}{4} x[/tex]
By comparison with [tex]y = kx[/tex]
we have:
[tex]y = y[/tex]
[tex]x = x[/tex]
[tex]k = \frac{1}{4}[/tex]
Hence: this answers the question.
100 points please solve fast! Brainliest please!
Answer:
21Step-by-step explanation:
The number of rectangles and combinations:
1 rectangle = 62 rectangles = 53 rectangles = 44 rectangles = 35 rectangles = 26 rectangles = 1Total
6 + 5 + 4 + 3 + 2 + 1 = 21Now the number of,
Rectangles and combinations are,
→ 1 rectangle = 6
→ 2 rectangles = 5
→ 3 rectangles = 4
→ 4 rectangles = 3
→ 5 rectangles = 2
→ 6 rectangles = 1
Then the total number is,
→ 6+5+4 + 3+2+1
→ 15 + 6 = 21
Hence, total number is 21.
5/8 - 5/24
I am doing some homework my brain isnt working right now can someone help me out?
Answer:
5/12
Step-by-step explanation:
i just looked it up...
====================================================
Explanation:
Multiply top and bottom of 5/8 by 3 to get 15/24
This means 5/8-5/24 is the same as 15/24-5/24
The denominators are the same, so we can subtract the numerators to have them placed over the common denominator
15/24 - 5/24 = (15-5)/24 = 10/24
Then we reduce by dividing each part of the fraction by the GCF 2
10/2 = 5
24/2 = 12
Meaning that 10/24 = 5/12
Note how multiplying top and bottom of 5/12 by 2 leads to 10/24 again.
So overall,
5/8 - 5/24 = 5/12
Please help!
What is the inverse of f(x)=x2 - 11 if the domain is x > 0
Find the slope of the line from the graph.
Answer:will hope it help to find the answer with an unqualified
Step-by-step explanation:
The value of a share of AT&T stock on that day wa \$97 50 more than the value a share of IBM HockUnx to represent the unknown value Write an algebraic expression for each of the quantities being compared 0 = the value of a share of AT&T Mock E = the value of a share of IBM stock
Answer:
[tex]A = 97.50 + H[/tex]
Step-by-step explanation:
Given
Stocks: AT&T and IBM HockUnx
Required
Determine the algebraic expression
Represent AT&T with A and IBM HockUnx with H.
Since AT&T is 97.5 more than IBM HockUnx;
The required expression is:
[tex]A = 97.50 + H[/tex]
Mr. Mikie hired 3 students to deliver advertising fliers. He paid each student the same amount. Let x be the total amount the students earned. Write an expression that tells how much 1 student earned.
Answer:
$x/3
Step-by-step explanation: