What is the factored form of the expression 144x2 - 49?
A. (12x - 7) (12x + 7)
B. (12x - 7) (12x - 7)
C. (144x + 1)(x - 49)
D. (144x - 1) (x + 49)
Answer:
A
Step-by-step explanation:
Difference of squares: (a^2 - b^2) = (a - b)(a + b)
(144x^2 - 49) = (12x - 7) (12x + 7)
Answer:
A. (12x - 7) (12x + 7)
Step-by-step explanation:
144x^2 - 49
Rewriting
(12x)^2 - 7^2
Recognizing this is the difference of squares
a^2 - b^2 = ( a-b) (a+b)
( 12x-7) (12x+7)
If 2x - 3 = 5x + 6, what is the value of 4x
Steps to solve:
2x - 3 = 5x + 6
~Add 3 to both sides
2x = 5x + 9
~Subtract 5x to both sides
-x = 9
~Divide -1 to both sides
x = -3
Solve for 4x using x = -3
4(-3) = -12
Therefore, the answer is x = -12
Best of Luck!
Find the sum using the appropriate formula to the given term. 3 + 6 + 9 +... : S10
Answer:
[tex] S_{10} = 135[/tex]
Step-by-step explanation:
Given sequence is:
3 + 6 + 9 +...
Here,
a = 3, d = 6 - 3 = 3, n = 10
[tex]\because S_n = \frac{n}{2} \{2a + (n - 1)d \} \\ \\ \therefore \: S_{10} = \frac{10}{2} \{2 \times 3 + (10 - 1) \times 3\} \\ \\\therefore \: S_{10} = 5 \{6 + 7 \times 3\} \\ \\\therefore \: S_{10} = 5 \{6 + 21\} \\ \\\therefore \: S_{10} = 5 \times 27 \\ \\ \huge \orange{ \boxed{\therefore \: S_{10} = 135}} \\ \\[/tex]
Kenya is traveling on her bike at a rate of 5 miles per hour. How fast is she traveling in feet per hour?
1056 ft/min
0.00094697 ft/min
26,400 ft/min
1,584,000 ft/min
Aarón and Alice are bowling.Alice’s score is twice the difference of Aaron’s score and 5.The sum of their scores is 320. Find each students bowling score.
Given :
Alice’s score is twice the difference of Aaron’s score and 5.
The sum of their scores is 320.
To Find :
Each students bowling score.
Solution :
Let , score of Aaron is x .
So , score of Alice is 2(x-5) .
Also , Their sum of scores is equal to 320 .
[tex]x+2(x-5)=320\\\\3x-10=320\\\\x=11[/tex]
Therefore , score of Aaron and Alice 11 and 12 .
Hence , this is the required solution .
Three flavors of juice are offered at a school cafeteria. The table shows the number of students who purchased each flavor during three lunch
periods
Based on the table, what is the probability that a student who bought juice chosen at random purchased the grape flavor?
Answer:
0.2
Step-by-step explanation:
Missing table in the question
Orange - 51 Grape - 30Cherry - 69SolutionTotal number of juice bought:
51 + 30 + 69 = 150Probability of a student choosing grape flavor:
Probability = favorable outcomes / total outcomesP(grape) = 30/150 = 1/5 = 0.2Answer is 0.2
Probability that a student who bought juice chosen at random purchased the grape flavor is 0.2.
According to the question, there are three lunch periods and the number of students that take different flavors of juice is shown below;
Orange - 51Grape - 30Cherry - 69Since probability = Expected outcome/sample space
Sample space = 51 + 30 + 69 = 150
Probability that a student who bought juice chosen at random purchased the grape flavor = 30/150 = 0.2
Learn more: https://brainly.com/question/12108425
Missing parts;
Three flavors of juice are offered at a school cafeteria. The table shows the number of students who purchased each flavor during three lunch periods. Orange Grape Cherry 51 30 69 Based on the table, what is the probability that a student who bought juice chosen at random purchased the grape flavor? O A. 0.2 O B. 0.25 O C. 0.3 D. 0.33
jimmy rented a bike from krystals bikes. it cost him $18 plus $6 a hour if he paid $60 then he rented the bike for how many hour?
Answer: He rented the bike for 10 hours
Step-by-step explanation:
A builder is building five new homes it will take four electricians two days to wire each home.The electricians work eight hours per day and and $37.45 per hour .how much will it cost to pay the electricians?
Answer:
$11 984
Step-by-step explanation:
[tex](5 \times 2 \times 8) \times 37.45 \times 4 \\ 80 \times 37.45 \times 4\\ 11984 [/tex]
(5x2x8) because it's 5 houses which require 2 days per house which the electricians only work 8 hours per day.
Thus 80x37.45x4 because the answer of (5x2x8) is 80, and they get $37.45 per hour and there is 4 electricians.
which two integers have a sum of - 15
Answer:
-13 and -2
Step-by-step explanation:
Answer:
Step-by-step explanation:
the product as 26 and the sum of the two numbers as 15, one can say that the two numbers are 13 and 2.
-19n = -228
Now that school is back, I remember absolutely nothing
Answer:
n=12 (I wasn't sure if n was negitive or positive)
Step-by-step explanation:
Since -19x n = -228 all you have to do to get the answer is to revers the process
-228 ÷ -19 = n
-228 ÷ -19 = 12
n=12
I hope that this was helpful and accurate! Have a lovely day.
What is the perimeter?
Answer:
D.) 10x + 2y
Step-by-step explanation:
x + 4x + 4x + x = 10x
y + y = 2y
10x + 2y
Hopefully this helps you :)
pls give me brainlest ;)
Which of these linear equations best describes the given model?
Choose 1 answer:
y = 0 + 0.25
Y =2+0.5
a) = 0,5 +0.25
û = 0.5x + 0.5
Keenan fills a box with 3 layers of blocks. Each layer has 16 blocks. The volume of
each block is 1 cubic inch. What is the volume of the box?
Answer:
the answer is 48 cubic inches please mark me as brainliest please
Mariah owed her grandfather $2.25 but was recently able to pay him back $1.50. How much does Mariah currently owe her grandfather?
Answer:
75 cents
Step-by-step explanation:
50 plus 15=75
Answer:
0.75
Step-by-step explanation:
2.25-1.50
Given a point P(8,1) on segment AB with A(-2,3), find the coordinates of B if ap/ab=2/3. The answer should be entered in the form (x,y) without any spaces between characters
Answer:
The coordinates of point B are (23,-2)
Step-by-step explanation:
Mathematically, what this question is telling us is that the point P divides the segment AB in the ratio 2:3
We are now tasked with finding the coordinates of point B
For point P to have divided the segment in that particular ratio, then, internal division formula would have been used.
Mathematically, the internal division formula is given as;
(x,y) = (mx2 + nx1)/(m + n) , (my2 + ny1)/(m + n)
In this particular question case;
(x,y) are coordinates of p = (8,1)
x = 8 , y = 1
m = 2 , n = 3
x1 = -2 , y1 = 3
x2 = x , y2 = y ( coordinates of point B)
So let’s make the substitution;
(8,1) = 2x + 3(-2)/2+3) , 2(y) + 3(3)/(2+3)
(8,1) = (2x-6)/5 , (2y + 9)/5
So therefore; let’s equate
(2x-6)/5 = 8
and 2y+ 9/5 = 1
2x-6/5 = 8
2x -6 = 8*5
2x -6 = 40
2x = 40 + 6
2x = 46
x = 46/2
x = 23
(2y + 9)/5 = 1
2y + 9 = 5 * 1
2y + 9 = 5
2y = 5-9
2y = -4
y = -4/2
y = -2
So the coordinates of point B are (23,-2)
I need help with this , Geometry
Answer: 19.42
Step-by-step explanation:
To find the distance, we need to use the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
With the given points, we can plug them in and solve.
[tex]d=\sqrt{(7-3)^2+(-11-8)^2}[/tex] [parenthesis]
[tex]d=\sqrt{(4)^2+(-19)^2}[/tex] [exponent]
[tex]d=\sqrt{16+361}[/tex] [add]
[tex]d=\sqrt{377}[/tex] [square root]
[tex]d=19.42[/tex]
Now, we know the distance is 19.42.
What does this mean?
Answer:
f(x) = |x| represents the modulus function or absolute value function. It gives us the distance between any point and the origin. Since distance can never be negative so we always consider its positive value only. You can simply multiply the given value with ‘-1’(if the given value is negative).
Step-by-step explanation:
Write the sentence as an equation.
Answer:
141 = 212/u
Step-by-step explanation:
For the pie chart of the given data . What will be the central angle for Butter Scotch flavor category ?
Answer:
The central angle of the butter scotch category is 120 degrees
Step-by-step explanation:
Here in this question, we want to calculate what the central angle will be for the Butter scotch flavor category.
We should understand that the total
angle for a pie chart is 360
Now, the first thing we will do here is to add all the number for all the flavors together
That will be 3 + 5 + 3 + 4 =15
Now the next thing is to place the butter scotch category number over this and multiply by 360
That will be;
5/15 * 360 = 1/3 * 360 = 120 degrees
If mangleT = (7x − 14)°, find the measure of the following.
Complement of angleT.
Complement means 90 degrees.
7x - 14 = 90
7x = 104
x = 14.857...
Best of Luck!
Answer:
see below
Step-by-step explanation:
Complement of angle T = (7x - 14) = 90
7x = 90 + 14
x =104 / 7
x = 14.857
Complement of angle T = 7 (14.857) - 14 = 90
104 - 14 = 90
90 = 90
Eight over three times three over one
Answer:
8
Step-by-step explanation:
Answer: 8
Step-by-step explanation: 8/3 x 3/1 = 8
Ian is a waiter. He waits on a table of 4 whose bill comes to $110. If Ian receives a 15% tip, how much will he receive?
Answer:
16.50
Step-by-step explanation:
First do 15% of 100$ then 15% of 10% and add the two values together.
i need HELPP ,, solve for x ,, idkk what it is !!
Answer:
x = 20
Step-by-step explanation:
[tex]3x + 6x = 180\\9x = 180\\x = 20[/tex]
whats five and one fourth divided by one third with how u got it
Solve the problem below in your head.
One of the companies sponsoring Thor "Super High Octane"
Ericsson, the greatest extreme sports athlete ever, has
designed a new motorcycle racing jacket with Thor's picture on
the back. If the company sells the first 30,000 jackets at
$400 a piece, how much money will it take in?
Answer:
Step-by-step explanation:
Ummm keep adding it lol
Evaluate 10 + 2(3 + 2) + 5 + (36÷ 6). 71 31 41 21
Answer:
31
Step-by-step explanation:
Please helpppppppp:)))))))
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Since AB bisects AC, AB = BC.
[tex]x+12=6x-23[/tex]
Subtract 12 from both sides:
[tex]x+12-12=6x-23-12[/tex]
[tex]x=6x-35[/tex]
Subtract 6x from both sides:
[tex]x-6x=6x-35-6x[/tex]
[tex]-5x=-35[/tex]
Divide both sides by -5:
[tex]\frac{-5x}{-5}=\frac{-35}{-5}[/tex]
[tex]x=7[/tex]
Write the equation of the line that passed through the points (-1,6) and (5,0)
Answer: y = -1x + 5
Step-by-step explanation:
1. Plug the coordinates into the slope formula (y2 - y1)/ (x2 - x1)
(0 - 6)/ (5 -(-1))
2. Solve for slope
-6/6
= -1
3. Plug the first coordinate and slope into the point slope form equation (y - y1) = slope(x - x1) to find the rest of the equation of the line
(y -(-1)) = -1( x - 6)
4. Solve for y
y + 1 = -1x + 6 -----> y = -1x + 5
(4x-5) (4x+5)
Expand and simplify
Step-by-step explanation:
(4x-5)(4x+5)
multiply each
4x×4x=16x^2
4x×5=20x
-5×4x= - 20x
-5×5= -25
16x^2+20x-20x-25
16x^2-25
A section of wall is being framed. A model of the framing work is shown below. Vertical and parallel lines c, d, and e are cut by diagonal transversal b. The uppercase right angle formed by the intersection of lines b and c is angle A. The uppercase left angle formed by the intersection of lines d and b is 125 degrees. Which best describes the relationship between the 125° angle and angle A? They are same side interior angles. Angle A measures 55°. They are alternate interior angles. Angle A measures 125°. They are vertical angles. Angle A measures 125°. They are corresponding angles. Angle A measures 55°.
Answer:
a. They are same side interior angles. Angle A measures 55°.
Step-by-step explanation:
They are the same side interior angles. Angle A measures 55°.
Are all interior angles 180?If you think about it, you'll see that when you add any of the interior angles of a triangle to its neighboring exterior angle, you always get 180 degrees a straight line.
What are interior angles for example?Interior angles are those that lie inside a polygon. For example, a triangle has 3 interior angles. The other way to define interior angles is "angles enclosed in the interior region of two parallel lines when intersected by a transversal are known as interior angles".
Learn more about interior angles here https://brainly.com/question/24966296
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