The required factorized form of the given expression is 50(x+2), where 50 is the greatest common factor (GCF).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
We have been given that the expression below as
50x + 100
We have to determine the factor of the expression 50x + 100
First, we have to find the Greatest Common Factor (GCF).
GCF = 50
2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
50(50x/50 + 100/50)
Simplify each term in parentheses.
50(x+2)
Therefore, the required factorized form of the given expression is 50(x+2).
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Which of the following tables shows the correct steps to transform x2 + 10x + 24 = 0 into the form (x − p)2 = q?
[p and q are integers] (5 points)
Select one:
a.
Step 1 x2 + 10x + 24 − 1 = 0 − 1
Step 2 x2 + 10x + 23 = −1
Step 3 (x + 5)2 = −1
b.
Step 1 x2 + 10x + 24 − 2 = 0 − 2
Step 2 x2 + 10x + 22 = −2
Step 3 (x + 5)2 = −2
c.
Step 1 x2 + 10x + 24 + 2 = 0 + 2
Step 2 x2 + 10x + 26 = 2
Step 3 (x + 5)2 = 2
d.
Step 1 x2 + 10x + 24 + 1 = 0 + 1
Step 2 x2 + 10x + 25 = 1
Step 3 (x + 5)2 = 1
The correct steps to transform x² + 10x + 24 = 0 into the form (x − p)² = q is
d.
Step 1: x² + 10x + 24 + 1 = 0 + 1
Step 2: x² + 10x + 25 = 1
Step 3: (x + 5)² = 1
To transform x² + 10x + 24 = 0 into the form (x − p)² = q where [p and q are integers], we perform the following steps of transformation.
What is transformation?This is process of converting one expression to the other by performing some mathematical operations.
How to transform x² + 10x + 24 = 0 into the form (x − p)² = qx² + 10x + 24 = 0
We add 1 to both sides.So,
Step 1: x² + 10x + 24 + 1 = 0 + 1
Thus, we have
Step 2: x² + 10x + 25 = 1
Since the left-hand-side x² + 10x + 25 = (x + 5)²
So, we have
x² + 10x + 25 = 1
Step 3: (x + 5)² = 1
So, the correct steps to transform x² + 10x + 24 = 0 into the form (x − p)² = q is
d.
Step 1: x² + 10x + 24 + 1 = 0 + 1
Step 2: x² + 10x + 25 = 1
Step 3: (x + 5)² = 1
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What is the exact circumference of a circle with a radius of 17 mm?
•
8.5T mm
O
177 mm
O 347 mm
O
687 mm
Answer:
[tex]34\pi[/tex]
Step-by-step explanation:
Given,
r = 17 mm
→ Circumference =
[tex]2\pi \: r[/tex]
→ 2x3.14x17
→ 34x3.14 =
[tex]34\pi[/tex]
↓
c = 106.76 mm
Find the measure of the
exterior angle, x.
52°
Х I’m desperate please please please help me bc this is due soon
Complete the work to find the dimensions of the rectangle. w(2w 4) = 240 2w2 4w = 240 2w2 4w – 240 = 0 2(w 12)(w – 10) = 0 what is the width of the rectangle? what is the length of the rectangle?
Answer:
10 units wide; 24 units long
Step-by-step explanation:
The width is represented by the variable w in the given equation ...
w(2w +4) = 240
__
This is conveniently divided by 2. Writing in standard form lets us see potential factoring.
w(w +2) = 120
w² +2w -120 = 0
(w +12)(w -10) = 0 . . . . . . factor
w = -12 or w = 10 . . . . . width
2w+4 = 2(10) +4 = 24 . . . length
The positive solution to this equation is the one of interest here.
The width of the rectangle is 10 units; its length is 24 units.
Given: PO IPO
Prove:
(-o) (mat) = -1
m
PO
po
P'(-b, a)
P (a, b)
Y-Y
1.me=
PO X2-X
C-a
Q' (d.c)
Q (c,d)
Check
Answer: d-b
Step-by-step explanation:
A market research company wants to collect opinions on the comfort and performance of a new type of sneaker by brand x. which group of individuals would be the best choice for a random sample? ask every fourth person on the street ask every fourth person who is wearing that brand of sneaker ask every fourth employee from the brand x flagship store ask every fourth person who is wearing shoes
The group of individuals would be the best choice for a random sample is to ask every fourth person who is wearing that brand of sneaker.
We have,
A market research company wants to collect opinions on the comfort and performance of a new type of sneaker by brand x.
We have to determine which group of individuals would be the best choice for a random sample.
What is the simple random sampling?
A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen
One of the best methods in random sampling is called quartering.
In quartering, the population is divided into 4 quadrants and the
the sample is obtained on one of the quadrants obtained.
In this case, the procedure to do is:
To ask every fourth person who is wearing that brand of sneaker.
Therefore option A is correct.
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Answer:
It's b
Step-by-step explanation:
Took it on edge 2022
What is the value of the expression below if C = 5 and d = 7? A. 65 B.315 c. 15 d. -7
Answer:
Step-by-step explanation:
=2(5)^2 - 5(7)
= 2(25) - 35
= 50 - 35
= 15
Can someone please give me the (Answers) to this? ... please ...
I need help….
Step-by-step explanation:
1.
the indicated point in the middle is the center point of the circle.
the line perpendicular to a chord going through that center solid the chord in half.
so,
x = 9
2.
Pythagoras
c² = a² + b²
13.5² = x² + 10.4²
182.25 = x² + 108.16
x² = 74.09
x = 8.607554821...
3.
Intersecting Chords Theorem
(part one of chord 1)×(part two of chord 1) =
= (part one of chord 2)×(part two of chord 2)
6x = 10×9 = 90
x = 90/6 = 30/2 = 15
4.
Intersecting Chords Theorem again
x(x+3) = 4×10 = 40
x² + 3x = 40
x² + 3x - 40 = 0
generation solution to a quadratic equation
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 3
c = -40
x = (-3 ± sqrt(3² - 4×1×-40))/(2×1) =
= (-3 ± sqrt(9 + 160))/2 = (-3 ± sqrt(169))/2 =
= (-3 ± 13)/2
x1 = (-3 + 13)/2 = 10/2 = 5
x2 = (-3 - 13)/2 = -16/2 = -8
negative values for a length do not make sense, so x = 5 is our solution
5.
Intersecting Chords Theorem
(x+1)×4 = (x-1)×5
4x + 4 = 5x - 5
9 = x
PLS HELP!!!! No links pls and Ty<3333
Answer:
The Circumference is 150.7 inches
Step-by-step explanation:
The cricumference of a circle is given by the formula:
[tex]C = 2\pi r[/tex]
We are given the radius and are given 3.14 for pi.
Substituting these values into the euation gives us:
C = 2(3.14)(24)
C = (6.28)×(24) = 150.72
The Circumference is 150.7 inches to the nearest tenth.
what numbers are missing from.the pattern below 108,5,43,63 ???? 108,5,43,63
Answer:
108,5,43,63
Step-by-step explanation:
108,5,43,63,_,_,_,_,108,5,43,63
groups of 4
Decide whether y is a function of x.
x2 + y2 = 1
Answer:
Not a function.
Explanation:
x² + y² = 1 is not a function.
Here's the breakdown!
Looking at the type of equation, It is a circle equation.
In a circle equation, y value is not completely determined by the x value.
Shown:
x² + y² = 1y² = 1 -x²y = ±√1 -x²There are multiple values of x for each value of y
Answer:
A function can be described as one-to-one or many-to-one, i.e. each value in the domain ([tex]x[/tex]-values) is mapped to a single value in f(x).
An example of a one-to-one function is a linear function. For every value of x there is one value of y.
An example of a many-to-one function is a quadratic function, where 2 different x-values map to one y-value.
[tex]x^2+y^2=1[/tex] is not a function as some values of [tex]x[/tex] are mapped to two different values of f(x).
For example, let x = 0.5
[tex]\implies (0.5)^2+y^2=1[/tex]
[tex]\implies y^2=0.75[/tex]
[tex]\implies y=\pm\sqrt{0.75}[/tex]
So as x = 0.5 maps to √0.75 and -√0.75, it is one-to-many, and is therefore not a function.
5 x ( 3 + h ) = 15 + 45
Answer:
h=9
Step-by-step explanation:
I did this one and it was right for pre- algebra,
Monique goes to a party that starts at 10 minutes to 6.
The party lasts 3 and a half hours.
What time does the party end?
The circumference of a circular field is 166.42 yards. What is the diameter of the field? Use 3.14 for it and do not round your answer.
Answer:
52.98
Step-by-step explanation:
See attached image to find radius
diamater = Radius * 2
26.49 Yards * 2 = 52.98
9x10^2 is how many times as much as 3x10^-2
Answer:
3 times
Step-by-step explanation:
divide both numbers Which will give you 3
Suzie paid a total of \$324$324dollar sign, 324 for xxx tickets to a rock festival.
How much did each ticket cost?
Write your answer as an expression
Answer:
324/x
khan let me know
y+4=-12/7(x-1) in standard form
Answer: y + [tex]\frac{12}{7}[/tex]x = -[tex]\frac{16}{7}[/tex]
Step-by-step explanation:
Standard form is Ay + Bx = C,
Given:
y+4=-12/7(x-1)
Rewrite:
y + 4 = [tex]\frac{-12}{7}[/tex](x - 1)
Distribute:
y + 4 = [tex]\frac{-12}{7}[/tex]x + [tex]\frac{12}{7}[/tex]
Subtract 4 from both sides:
y = [tex]\frac{-12}{7}[/tex]x + [tex]\frac{12}{7}[/tex] - 4
Add [tex]\frac{12}{7}[/tex]x to both sides:
y + [tex]\frac{12}{7}[/tex]x = + [tex]\frac{12}{7}[/tex] - 4
Combine like terms:
y + [tex]\frac{12}{7}[/tex]x = -[tex]\frac{16}{7}[/tex]
The radius of a circle is 3 meters. What is the circle's circumference?
r=3 m
Use 3. 14 for .
Answer: The circle's circumfrence is 18.84
Step-by-step explanation:
When you are finding the circumference of a circle you use the formula
[tex]C=2\pi r[/tex]
[tex]C=2*3.14*3[/tex]
[tex]C=18.84[/tex]
HELP NOW! RIGHT ANSWER=BRAINLIEST
EXCUSE NAIL POLISH!!!!
Answer:
60
Step-by-step explanation:
6% of 250 = 15 = 250 * 0.06
30% of 250 = 75 = 250 * 0.7
75-15=60
Answer:
60
Step-by-step explanation:
Need Help In The Fundamental Counting Principle
Answer:
The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. possible outcomes of the experiment. The counting principle can be extended to situations where you have more than 2 choices.
Step-by-step explanation:
Julian scored 24 points over the first 12 games of the basketball season. Disappointed with his performance, he started spending extra time after practice working on his shot. He scored 112 points over the last 16 games of the season. How many more points per game did Julian score in the last 16 games of the season
Answer:
5 more points
Step-by-step explanation:
To find the ppg of the first 12 games you do 24/12
for the 16 games: 112/16
24/12=2
112/16=7
7-2=5
A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the screen to the height of the screen, is16: 9.
What is the length of the diagonal of the screen, to the nearest whole inch?
Enter your answer in the box
Answer
23
Step-by-step explanation
16/9=width/height
20 is the width of the computer monitor so you would put width as 20
20/x then you would cross multiply to find the height which is x.
20 x 9=180
Then you would divide 180 by 16.
180/16=11.25
So now you have the width and the height 20/11.25=width/height
Then you do the pythagorean theorem a^2+b^2=c^2=20^2+11.25^2=526.5.6^2.Then you would round you answer to get 526.6 Then you would find the square root of 526.6 which is 22.9. Then you would round the answer to get 23.
Which set of three side lengths will not from a triangle
A 17, 12, 6 C 36, 14, 27
B 25, 38, 13 D 39, 44, 6
Answer:
5tv. 9. v. 9. 9. o. o. o o. o. 9.
A standard die is rolled and a coin is tossed. What is the probability that the cube shows a 3 and the coin is tails ?
Answer:
1/12
Step-by-step explanation:
The probality of getting a 3 on a die is ⅙ since they is only one 3 on the 6 sided die. So that will mean there is a 1 in 6 chance to get a 3.
Then the probability of getting tails on a coin is ½ because a coin on has 2 sides.
The probability of getting the 3 on the die and a tail on a coin will be the probability of getting the 3 on the die times the probability of getting the tails on the coin.
⅙×½=1/12
What is the value of the expression 16 + 56/n when n = 8?
Answer:
23
Step-by-step explanation:
[tex]16 + \frac{56}{n} [/tex]
[tex]where \: n = 8[/tex]
[tex]16 + \frac{56}{8} [/tex]
[tex]23[/tex]
[tex]56 / 8 = 7[/tex]
Add second[tex]7 + 16 = 23[/tex]
With that information, your answer is twenty-three.
help me please please
Answer:
5 units down, two to the left. Therefore, x+-2, y+-5
Step-by-step explanation:
What is the difference? startfraction x over x squared minus 2 x minus 15 endfraction minus startfraction 4 over x squared 2 x minus 35 endfraction startfraction x squared 3 x 12 over (x minus 3) (x minus 5) (x 7) endfraction startfraction x (x 3 minus 12) over (x 3) (x minus 5) (x 7) endfraction startfraction x squared 3 x 12 over (x 3) (x minus 5) (x 7) endfraction startfraction x squared 3 x minus 12 over (x 3) (x minus 5) (x 7) endfraction
The difference is StartFraction x squared + 3 x minus 12 Over (x + 3) (x minus 5) (x + 7) EndFraction.
What is a quadratic equation?
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The given expression is
[tex]\frac{x}{x^{2} -2x-15} -\frac{4}{x^{2} +2x-35}[/tex]
[tex]\frac{x}{x^{2} -5x+3x-15} -\frac{4}{x^{2} +7x-5x-35}\\\frac{x}{(x-5)(x+3)} -\frac{4}{(x-5)(x+7)}[/tex]
by Taking LCM
[tex]\frac{x(x+7)-4(x+3)}{(x-5)(x+3)(x+7)} \\[/tex]
[tex]\frac{x^{2} +3x -12}{(x-5)(x+3)(x+7)} \\[/tex]
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Answer: The correct answer is D on edge
Step-by-step explanation:
got it right on the pretest
Solve the following equation using distribution. 1 2 (4x − 12) = 5 ( 1 2 ) (4x) − ( 1 2 ) (12) = 5 2x − 6 = 5 +6 +6 2x = 11 What is the value of x? 5.5 9 11.5 13
Answer:
5.5
Step-by-step explanation:
Answer: IT IS 5.5I DID THE TEST
Step-by-step explanation:
If m=5, evaluate m^18 divide by m^11
Answer:
78125
Step-by-step explanation:
Using a rule of powers, a^x / a^y = a^(x-y)This gives you m^(18 - 11) = m^7M is 5, so it would be 5^7 or 78125HELPPP write an inequality that represents the graph
Answer:
ummm sorrry , can you give a btter stable question?
Step-by-step explanation: