Answer:
1. The factored form of the given expression is (x+7)(x+6).
2. What is the expression in factored form . 9x^2 -4
Step-by-step explanation:
1. The given expression is,
The degree of the expression is 2, the constant term is 42, and the coefficient of x is 13.
Use factoring by grouping method
To find the factor form, we have to find two numbers whose sum is 13 and whose product is 42.
The factors of 42 are,
From which the sum of 6 and 7 is 13.
So We can write the 13x as 7x+6x.
2. This expression can be factorized using the difference of squares which can be illustrated as follows:
A^2 - B^2 = (A+B)(A-B)
In the given example:
sqrt(9x^2) = 3x
sqrt(4) = 2
and the two squares are separated by a negative sign
Therefore, the difference of squares is applicable
Based on this, factoring the given expression would give us:
9x^2 - 4 = (3x+2)(3x-2)
.a. Find the LCM of the 45 and 70
Answer:
630.
Find the Prime factorization of 45, 3 x 3 x 5
Find the prime factorization of 70, 2 x 5 x7
Multiply each factor the greater number of times it occurs.
You get 630.
LCM of 45 and 70 :
= 45 ÷ 5 , 70 ÷ 5 ( Both the numbers are being divided by 5 ; which is their smallest common factor )
= 14 , 9
= 14 ÷ 14 , 9 ( We are dividing 14 by 14 as both 9 and 14 dont have have a common factor )
= 1 , 9
= 1 , 9 ÷ 3 ( 9 is being divided by 3 )
= 1 , 3
= 1 , 3 ÷ 3 ( 3 is being divided by 3 )
= 1 , 1
LCM of 45 and 70 = 5 × 14 × 3 × 3
LCM of 45 and 70 = 630
Therefore , the LCM of the 45 and 70 = 630 .
Which postulate or theorem proves that these two triangles are congruent?
A. ASA Congruence Postulate
B. AAS Congruence Theorem
C. HL Congruence Theorem
D. SAS Congruence Postulate
Answer:
Option (B)
Step-by-step explanation:
From the given picture,
Given:
Two lines PM and QR are intersecting each other at a point N.
∠NMR ≅ ∠NPQ
NR ≅ QN
To prove:
ΔMNR ≅ ΔPNQ
Statements Reasons
1). NR ≅ QN 1). Given
2). ∠NMR ≅ ∠NPQ 2). Given
3). ∠MNR ≅ ∠PNQ 3). Definition of vertical angles
4). ΔMNR ≅ ΔPNQ 4). AAS theorem of congruence
Therefore, Option (B) will be the correct option.
Answer:
B: AAS Congruence Theorem
One queso dip recipe calls for 4 pieces of cheese and 2 peppers. Hector triples the recipes when he makes queso for his family. How many pieces of cheese for every 1 pepper?
Answer:
2 pieces of cheese for 1 pepper.
After tripling it: 12:6
Step-by-step explanation:
Focus on the first sentence.
4 pieces of cheese to 2 peppers. Turn it to ratio.
4:2
Simplify:
2:1
So, for every 1 pepper, we have 2 pieces of cheese.
Write the number 3 2/5 in a/b form
Answer:
Step-by-step explanation:
16/5
5*3=15+1=16
16/5
A restaurant charges $1.30 for one biscuit and two eggs it charges $2.15 for two biscuits in three eggs what is the cost of one biscuit and one egg
Answer:
$1.85
Step-by-step explanation:
2.15
-1.30
--------
1.85
Sherry needs to have at least $1600 in her bank account at the end this month. She works at a restaurant where she earns $18 an
hour. This month she has to pay her car payment of $200. How many hours does Sherry need to work to save up enough money.
Answer: 100 hours
Step-by-step explanation:
She has to get a total of 1800 dollars. Since she works 18 dollars an hour, divide 1800 and 18.
1800/18 = 100 hours
help please im begging
Answer:
D and E :)
Step-by-step explanation:
Sheila makes $12.50 per hour. Calculate her earnings for a 40-hour week.
Gross Earnings
Taxes Withheld
Gross Pay
Social Security Tax
$31.00
Medicare Tax
$7.25
Total Amount of Withholdings/
Federal Tax
$44.05
Deductions:
State Tax
$15.85
Deductions
Net Pay:
Net Earnings
$
Accompanies: Employee Compensation Components
What is the gross pay, net pay and the total witholding?
Gross pay is the total amount earned before any deductions.
Gross pay 12.50 x 40 = $500
Shelia's total amount of withholding is the sum of all the taxes paid.
Shelia's total amount of withholding = 31 + 7.25 + 44.05 + 15.85 = $98.15
Net pay is the gross pay less the total withholding.
$500 - $98.15 = $401.85.
To learn more about taxes, please check: https://brainly.com/question/25311567
Does anyone know what the answer is ???? PLEASE HELP
Answer:
they should meet at point (1, 1)
if 2x – 1 is a factor of 16x4
24x3 + 2x + f, find f.
Answer:
f = -5
Step-by-step explanation:
If 2x – 1 is a factor of 16x4 + 24x3 + 2x + f, find f.
If 2x - 1 = 16x⁴ + 24x³ + 2x + f, find f.
2x - 1 = 0
2x = 1
x = 1/2
Hence
f(1/2) = 16(1/2)⁴ + 24(1/2)³ + 2(1/2) + f
= 16(1/16) + 24(1/8) + 1 + f
= 1 + 3 + 1 + f
= 5+ f
f = -5
Write three factors of 24 which have a sum of more than 37 and less than 40
Answer:
24, 12, 2
Step-by-step explanation:
24, 12, and 2 are all factors of 24.
24+12+2=38
37<38<40
the three factors of 24 that have a sum between 37 and 40 are 2, 12, and 24, with a sum of 38. Another combination is 4, 8, and 24, also with a sum of 38.
To find three factors of 24 with a sum between 37 and 40, we can start by listing the factors of 24:
1, 2, 3, 4, 6, 8, 12, 24
Next, we'll try different combinations of these factors to see if any three of them add up to a sum between 37 and 40:
1 + 2 + 24 = 27 (not within the desired range)
1 + 3 + 24 = 28 (not within the desired range)
1 + 4 + 24 = 29 (not within the desired range)
1 + 6 + 24 = 31 (not within the desired range)
1 + 8 + 24 = 33 (not within the desired range)
1 + 12 + 24 = 37 (not within the desired range)
2 + 3 + 24 = 29 (not within the desired range)
2 + 4 + 24 = 30 (not within the desired range)
2 + 6 + 24 = 32 (not within the desired range)
2 + 8 + 24 = 34 (not within the desired range)
2 + 12 + 24 = 38 (within the desired range)
3 + 4 + 24 = 31 (not within the desired range)
3 + 6 + 24 = 33 (not within the desired range)
3 + 8 + 24 = 35 (not within the desired range)
3 + 12 + 24 = 39 (within the desired range)
4 + 6 + 24 = 34 (not within the desired range)
4 + 8 + 24 = 36 (within the desired range)
4 + 12 + 24 = 40 (not within the desired range)
6 + 8 + 24 = 38 (within the desired range)
6 + 12 + 24 = 42 (not within the desired range)
8 + 12 + 24 = 44 (not within the desired range)
Therefore, the three factors of 24 that have a sum between 37 and 40 are 2, 12, and 24, with a sum of 38. Another combination is 4, 8, and 24, also with a sum of 38.
Learn more about factors here
https://brainly.com/question/11907868
#SPJ2
what is 63 times 4? pls help
Answer:
252
Step-by-step explanation:
Hope this helps
Answer:
252
Step-by-step explanation:
What does it mean by "interpret its meaning"? I underlined it for you guys.
Mario walked at a rate 2/3 miles every 10 minutes. What was his walking rate in miles per hour?
Answer:
12/18 every hour
Step-by-step explanation:
2/3 =10 minutes
4/6 = 20 minutes
6/9 = 30 minutes
8/12 = 40 minutes
10/15 =50 minutes
12/18 = 60 minutes
Paul runs 4.8 km every morning. How many feet are in 4.8 km?
Answer:
15748 feet
Step-by-step explanation:
There are 3280.8 feet in 1 km, and if we multiply that by 4.8, we get a result of about 15748 feet. Hope it helps!
what’s
20(-1.5r+0.75)
Answer:
-30r+15
Step-by-step explanation:
Apply the distributive law:
20(-1.5r)+20 · 0.75
Apply minus plus rules:
-20 · 1.5r +20 · 0.75
Simplify:
-20 · 1.5r + 20 · 0.75 = -30r+15
I hope it's right!! :)
what is the rate of change for the graph?
Answer:
Step-by-step explanation:
1,2
2,7
7-2 is 5 and 2-1 is 1
5/1 is the slope
7=2*5+b
7=10+b
-3=b
y=5x-3
Willie won 125 lollipops playing hoops at
his school's game night. Later, he gave
four to each of his friends. He only has 1
remaining. How many friends does he
have?
Answer:
Step-by-step explanation:
Easiest way to do this is to work backwards.
If Willie only has 1 remaining lollipop, this means that he must've given a total of 124 lollipops to his friends. (125 - 1 = 124)
Then we know he gave 4 lollipops to each friend. So all you need to do is divide the total number of lollipops he gave to his friends (124) by how many he gave to each friend.
Number of friends = Total number of lollipops given to friends / Number of lollipops given to each friend.
Number of friends = [tex]\frac{124}{4} = ?[/tex]
In a medical research study, a researcher selects a hospital and interviews
all the patients that day. Which sampling method is being used?
Answer:
vtgg
Step-by-step explanation:
A truck can be rented from Company A for $120 a day plus $0.20 per mile. Company B charges $50 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
What is the slope of the perpendicular lines?
y = - 5/2x - 8
A) y = - 5x
B) y = 5x
C) y = x - 5
Answer: x=16/5
Step-by-step explanation:
Answer:
16/5
Step-by-step explanation:
Which of the following best describes the slope of the line below
O A. Positive
B. Negative
C. Zero
D. Undefined
Answer:
zero letter c
Step-by-step explanation:
it is c also hey
A graph titled Health Club Rates has number of family members on the x-axis and Monthly cost (dollars) on the y-axis. For 2 family members, the cost is 84; 4 family members, 168; 6 family members, 252; 8 family members, 336.
Use the graph to find the unit rate.
$24 per person
$42 per person
$32 per person
$84 per person
Answer:
$42 per person
Step-by-step explanation:
I just did it and got it right.
Answer:
$42 per person
Look at image. Please help quick.
Answer:
its most likely B
Step-by-step explanation:
#answer please with work
what determines the range of a function?
Answer:
all possible y values
Step-by-step explanation:
any y value that goes in the function is in the range , an easier way to determine that would be using graphs.
PLZ HELP with this problem
Leah combines 6.54 ounces of strawberries with 6.09 ounces of blueberries to make fruit bowls. She pours the fruit equally into 3 bowls, and has 1.68 ounces of fruit left over. How many ounces of fruit are in each bowl?
Answer:
4.21 Ounces
Step-by-step explanation:
You first want to add 6.54 to 6.09 getting you an answer of 12.63 then you want to divide that by 3 which gets you an answer of: there are 4.21 ounces in each bowl.
please please help!!!
Number of Chores, x
Days, y
The table shows the number of days required to
perform a given number of chores. The number of days
varies directly with the number of chores. What is the
constant of variation that completes the equation?
6
18
y =
9
27
12
36
Answer:
the answer is 3
Step-by-step explanation:
The table shows the number of days required to perform a given number of chores. The number of days varies directly with the number of chores. What is the constant of variation that completes the equation?
y = 3x
Answer:
3
Step-by-step explanation:
edge 2021;)
Find the value of X: 3x (-35) = 2x
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Answer:
this sentence is grammatically incorrect
lol
Answer:
Thanks for the points luv
Step-by-step explanation:
Have a good day/night :)
Brainliest pls?