Step-by-step explanation:
1st expression = 3a - 6 = 3 ( a - 2 )
2nd expression = a² - 4 = a² - 2² = ( a + 2) (a - 2)
The HCF is (a -2).
Hope it helps :)❤
PLEASE HELP ILL MARK BRAINLIEST IF RIGHT THANKS!!
A teacher presented students with four tables.
Table 1
A 2-column table with 3 rows titled Table 1. Column 1 is labeled x with entries 2, 6, 8. Column 2 is labeled y with entries 1, negative 1, negative 2.
Table 2
A 2-column table with 3 rows titled Table 2. Column 1 is labeled x with entries 0, 2, 6. Column 2 is labeled y with entries 8, 4, negative 4.
Table 3
A 2-column table with 3 rows titled Table 3. Column 1 is labeled x with entries negative 4, negative 2, 2. Column 2 is labeled y with entries 4, 5, 7.
Table 4
A 2-column table with 3 rows titled Table 4. Column 1 is labeled x with entries negative 2, 0, 4. Column 2 is labeled y with entries 0, 4, 12.
Which table describes a linear function that has a slope of 2?
Answer:
Tabel 4 :)
Step-by-step explanation:
4. Find the value of (a + b)) and (a - b), if a = 5 and b = 7.
Answer:
if a=5 and b=7 so (a+b)=(5+7)=12
(a-b)=5-7= -2
Answer:
(a+b) =12
(a-b) =. - 2
Step-by-step explanation:
You will put the numbers given as a=5 and b=6
In to the value of (a+b) and (a-b)
So it will be
*(a+b) =(5+7)
=(12)
*(a-b) =(5-7)
=(-2)
A worker is stacking boxes.One stack has boxes that are 2 inches high. The other stack has boxes that are 5 inches high. At what height will the two stacks of boxes be equal in height?
Answer:
10 inches.
Step-by-step explanation:
One stack has boxes that are 2 inches high, then the height of this stack can be only multiples of 2 inches.
The other stack has boxes that are 5 inches high, then the height of this stack can be only multiples of 5 inches.
The height of both stacks will be the same for all the common multiples of 2 and 5.
Because 2 and 5 are prime numbers, all the common multiples between 2 and 5 will be direct products of these two numbers.
Like 2*5 = 10
is both a multiple of 2 and 5 (is the first common multiple)
Then we can use stacks of 10 inches.
Such that, for the stack where each box is 2 inches high, we need:
10in/2in = 5
5 boxes.
And for the stack where each box is 5 inches high, we will need:
10in/5in = 2
2 boxes.
Anna and Jose bought a pizza and ate 5 of the 8 slices. Zach and Sarah came over and Anna split the remaining slices evenly between them. How would you determine the fraction of the original pizza that Zach and Sarah each ate?
Answer:
24/2 slices
= 12/1
Step-by-step explanation:
Total slices of pizza = 8
Anna and Jose ate = 5
Slices of pizza remaining = 3
Zach and Sarah came over and Anna split the remaining slices evenly between them
That's is, 3 slices of pizza divided by 2 people
= 3/2
= 1 1/2 slices each
Each of Zach and Sarah ate 3/2 slices of pizza
fraction of the original pizza that Zach and Sarah each ate
= 3/2 of 8
= 3/2 × 8
= 24/2
= 12/1
Does anyone know the answer?
Answer:
We conclude that the area of the right triangle is:
[tex]A\:=p^2-2p-3[/tex]
Hence, option A is correct.
Step-by-step explanation:
From the given right-angled triangle,
Base = p+1Perpendicular = 2p-6Using the formula to determine the area of the right-angled triangle
Area of the right triangle A = 1/2 × Base × Perpendicular
[tex]=\frac{1}{2}\left(p+1\right)\left(2p-6\right)[/tex]
Factor 2p-6: 2(p-3)
[tex]=\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}[/tex]
Divide the number: 2/2 = 1
[tex]=\left(p+1\right)\left(p-3\right)[/tex]
[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
[tex]=pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)[/tex]
[tex]=pp-3p+1\cdot \:p-1\cdot \:3[/tex]
[tex]=p^2-2p-3[/tex]
Therefore, we conclude that the area of the right triangle is:
[tex]A\:=p^2-2p-3[/tex]
Hence, option A is correct.
Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.
Number of Pages Elias Read during the Summer
Last Summer
140
220
190
180
190
This Summer
150
170
150
190
180
Which statement comparing the modes to the ranges is true?
Answer: A. The modes differ by 40 and the ranges differ by 40.
Step-by-step explanation:
The required, modes differ by 40 and the ranges differ by 40. Option A is correct.
To compare the modes and ranges of the given data, let's first find the modes and ranges.
Last Summer:
140, 220, 190, 180, 190
This Summer:
150, 170, 150, 190, 180
The mode is the value that appears most frequently in a dataset, while the range is the difference between the maximum and minimum values in a dataset.
The modes are as follows:
Last summer: The mode is 190 since it appears twice, more frequently than any other value.
This summer: The mode is 150 since it appears twice, more frequently than any other value.
The ranges are as follows:
Last summer: The range is 220 - 140 = 80.
This summer: The range is 190 - 150 = 40.
Now, let's compare the modes to the ranges:
Statement: The modes differ by 40 and the ranges differ by 40. Since the modes differ by 40 and the ranges differ by 40, the statement is true.
Therefore, the correct statement is:
A. The modes differ by 40 and the ranges differ by 40.
Learn more about the mode here:
https://brainly.com/question/30891252
#SPJ2
The given question is incomplete the complete question is given below:
Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.
Number of Pages Elias Read during the Summer
Last summer: 140 220 190 180 190
This summer: 150 170 150 190 180
Which statement comparing the modes to the ranges is true?
A. The modes differ by 40 and the ranges differ by 40.
B. The modes differ by 20 and the ranges differ by 20.
C. The modes differ by 40, but the ranges differ by 20.
D. The modes differ by 20, but the ranges differ by 40.
Solve the system:
2x + 3y = 14
2x - 3y = -10
I need help
Answer:
x=1, y=4
Step-by-step explanation:
what's the answer to 2/5x + 10 = 30
Answer:
your answer would be 50
Step-by-step explanation:
if the m
180 degrees
90 degrees
74 degrees
37 degrees
Answer:
90 degress is a right angle
Step-by-step explanation:
so its m<90
Graph the function f(x) = 4x - 5.
Answer:
On (1.25,0) and (0,-5)
Step-by-step explanation:
Solve this system
2x-4y=14
3y+5x=9
Answer:
x=3, y=-2
Step-by-step explanation:
If 2x-4y=14, then we know that 2x=14+4y. This means that x=7+2y. If we substitute this into the next equation we get: 3y+(35+10y)=9. This means that we have 35+13y=9. If we subtract 35 from both sides we get 13y=-26. This means y=-2. If you subsitute this in the first equation, we have 2x--8=14. -- means + so you do 2x+8=14. This means that x=3.
btw this is my first answer so sorry if its bad.
a jar contains 11 green marbles, 6 red marbles, and 9 blue marbles. a marble is selected at random, not replaced, and then a second marble is selected. what is the probability of selecting a red marble followed by a green marble?
Answer:
33/ 338
Step-by-step explanation:
Red = 6
Blue = 9
P.Red = 6/26 = 3/13
P.Green = 11/26
P. Both in turns = 3/13 * 11/26
= 33/338
hope this helps...
Answer:
0.09
Step-by-step explanation:
x^2-4x+6=x+2 helpppp
Step-by-step explanation:
x² - 4x + 6 = x + 2
x² - 5x + 4 = 0
(x - 4)(x - 1) = 0
Therefore x = 4 or x = 1.
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
Okayy
Step-by-step explanation:
Since T is the centroid which is the center
Also T is a midpoint
Nt=tn=42
Hope this helps
What is 5/3 as a percent
Answer:
%167
Step-by-step explanation:
5 divided by 3 is 1.67 so times that by 100 and you get %167
Answer:
166.666666666667%
Step-by-step explanation:
Convert fraction (ratio) 5 / 3 Answer: 166.666666666667%
please help me, marking brainliest if correctly
Answer:
x = -11
Step-by-step explanation:
The measure at angle 2 should equal 80 degrees.
You are given that it is equal to x+91. So,
x+91 = 80
x = -11
what is the dividend yield on Stock A that sells 15$/share, when company A pays a quarterly dividend of $0.15 per share
Answer: The dividend yield on Stock A = 0.04
Step-by-step explanation:
Given: quarterly dividend = $0.15 per share
Annual dividend per share = 4 x 0.15 = $0.6 [1 year = 4 quarters]
Stock's price per share = $0.15
The computation of dividend is given by :-
Dividend yield = (annual dividend per share) divided by (the stock's price per share).
Here, Dividend yield = (0.6) ÷ 15 = 0.04
Hence, the dividend yield on Stock A = 0.04
Jerry was given some birthday money. He puts the money in an account. Every month after that, he deposits the same amount of money.
The equation that models this situation is y = 50x + 75, where y is the amount of money in the account and x is the number of deposits.
What does the y-intercept mean in this situation?
A. He was given $50 for his birthday.
B. He puts $75 in the account each month.
C. He puts $50 in the account each month.
D. He was given $75 for his birthday.
The y -intercept in this situation mean that Jerry was given $75 for his birthday
The equation below is a linear equation.
y = 50x + 75
A linear equation is an equation that has a single variable raised to the power of 1. 50x is raised to the power of 1
75 represents the constant. This is the money he deposited in the account. 75 is the y-intercept. The y-intercept is the value of the line y when it crosses the y-axis
50x is the slope of the line. - 50 is the amount he puts in every month and x represents month.
The slope of a line also known as the gradient of the line determines the steepness and direction of a line. If the slope coefficient is less than zero, the slope is negative and it would decline from left to right
y is the dependent variable. It is the total amount he would have at the end of each month. y depends on the constant term (75), the number of months(x) and the amount he deposits every month (50)
at the end of :
one month, he would have : 50(1) + 75 = 125
two months, he would have : 50(2) + 75 = 175
You can learn more about y-intercepts here : https://brainly.com/question/12791065?referrer=searchResults
Answer:d
Step-by-step explanation:
A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meters per second. The height h in meters of the ball is given by \large h=-4.9t^2+5t+2 , where t is the time elapsed in seconds. How long will it take the ball to hit the ground if no other players touch it?
Answer:1.32 s
Step-by-step explanation:
Given
The initial height of ball H=2 m
Initial velocity u=5 m/s
Height of ball at any instant is given by
[tex]H=-4.9t^2+5t+2[/tex]
The ball will hit the ground when h=0
[tex]-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}[/tex]
5-7(2-x)=31-4(2x-5) help pls
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
5 - 7(2 - x) = 31 - 4(2x - 5)
Step 2: Solve for x
Distribute: 5 - 14 + 7x = 31 - 8x + 20Subtract/Add: -9 + 7x = -8x + 51Add 8x on both sides: -9 + 15x = 51Add 9 to both sides: 15x = 60Divide 15 on both sides: x = 4Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5 - 7(2 - 4) = 31 - 4(2(4) - 5)(Parenthesis) Multiply: 5 - 7(2 - 4) = 31 - 4(8 - 5)(Parenthesis) Subtract: 5 - 7(-2) = 31 - 4(3)Multiply: 5 + 14 = 31 - 12Add/Subtract: 19 = 19Here we see that 19 does indeed equal 19.
∴ x = 4 is the solution to the equation.
Which best describes this fraction when converted to a decimal: 1/3
Answer:
1/3 to decimal is 0.333333 repeating decimal
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{In order to CONVERT FRACTION to a DECIMAL, you have}\\\large\text{to divide the numerator (the top number) from the denominator}\\\large\text{(the bottom number).}[/tex]
[tex]\bold{\dfrac{1}{3}= 1\div3\rightarrow 0.33333333333}}[/tex]
[tex]\boxed{\boxed{\bold{Answer: 0.33333333333}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Determine the number and type of solutions to the equation 5+x+10=0
The answer is -15
x = -15 because 10+5=15 and 15 + -15 = 0
which of the following ordered pairs could be placed in the table below and still have the relation qualify as a linear function ? -5,7,-3,15,-1,23, ?, ?
If I remember correctly, the answer is (1, 31).
Hope this helps! :3
need this today, thanks!
Answer:
Step-by-step explanation:
just click on the photo down bellow
right here
Celeste started a new job with $500 in her account. after 50 hours of work, she deposits her pay check and she has $1500.
How much does Celeste get paid an hour?
help me pls
Answer:
$20 per hour
Step-by-step explanation:
1500 - 500 = 1000
1000 divided by 50 = 20
To check:
20 x 50 = 1000
If c= 16, solve for b
Answer:
8√3
Step-by-step explanation:
cos30=b/16
equating:
√3/2=b/16
b=8√3
I need helppp!!!!!!!
i dont get that either lol pain. why does school have to be so hard
math pls help
dhdhdbdb
PLEASE HELP ME IM DESPERATE! Given the number of sides of a polygon, what is the maximum number of right angles it can have? Specifically, what is the maximum number of right angles in a 100-sided shape?
Step-by-step explanation:
so the shape gonna be soo long that I wasted yo ur time
The nucleus of an atom is composed of
Answer:
neutrons and protons
Step-by-step explanation: