The required factorized form of the given expression is y(x - 6)(x + 4), where y 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.
We have been given that the expression below as
x²y - 2xy - 24y
We have to determine the factor of the expression 50x + 100
First, we have to find the Greatest Common Factor (GCF).
GCF = y
y Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
y(x² - 2x - 24)
Simplify each term in parentheses.
y(x² - 2x - 4x - 24)
y(x - 6)(x + 4)
Therefore, the required factorized form of the given expression is y(x² - y(x - 6)(x + 4)
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The completely factored form of x²y - 2xy - 24y is y(x + 4)(x - 6).
Explanation:The completely factored form of x²y - 2xy - 24y is y(x + 4)(x - 6).
To factor the given expression, we can factor out the common term 'y' from all three terms: y(x² - 2x - 24). Then, we factor the quadratic expression inside the parentheses: (x + 4)(x - 6). Combining these factors, we get y(x + 4)(x - 6), which is the completely factored form of the given expression.
Find the slope of the line passing through each of the following pairs of points (0, 7), (0, −8)
Slope = change in y /change in x
(0, 7), (0, −8)
Slope "m"= -8-7/0-0
M= -15/0
M= undefined
The slope of the line passing through the pairs of points (0, 7), and (0, −8) is not defined.
Here,
We have to find the slope of the line passing through the pairs of points (0, 7), and (0, −8).
What is slope of the line?
A measure of its steepness is called slope of line.
Now,
The points are (0, 7) and (0, -8)
Hence, Slope of the line is calculate as;
[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{-8 -7 }{0}-0 } = \frac{-15}{0}[/tex]
Which is undefined.
Hence, The slope of the line passing through the pairs of points (0, 7), and (0, −8) is not defined.
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The ratio Of the number of people Who own a smart phone to the number of people who own a flip phone is 4 to 3. If 500 more people on a smart phone then I flip phone how many people on each type of phone
find an equivalent ratio 8:4
An equivalent ratio to 8:4 is 2:1. This is found by simplifying the original ratio by dividing both numbers by their greatest common divisor, which is 4.
Explanation:To find an equivalent ratio to 8:4, we can simplify the given ratio by dividing both numbers by their greatest common divisor. In this case, the greatest common divisor of 8 and 4 is 4.
So, we divide 8 by 4 to get 2 and 4 by 4 to get 1. Therefore, 2:1 is an equivalent ratio to 8:4.
An equivalent ratio to 8:4 is 2:1. This is found by simplifying the original ratio by dividing both numbers by their greatest common divisor, which is 4.
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I forget how to do these, can anyone help?
the answer to the first one is b,c
Graph y = -4x2 - 2 and its inverse
Choose which best explains the distributive property.
a property of the real numbers that states that the order in which numbers are added or multiplied does not change the value
a property of the real numbers that states that how numbers are grouped in a sum or product does not change the value
a(b + c) = ab + ac, or a(b - c) = ab - ac
The answer is
“A property of the real numbers states that if the numbers are grouped in a sum or in the form of its product, the value does not change.
a(b + c) = ab + ac, or a(b - c) = ab - ac”
ExplanationDistributive property states that we can multiply each term outside the parenthesis with the term present inside the parenthesis. It involves multiplication and addition or multiplication and subtraction. In mathematics, distributives property is frequently used.
Some examples of distributive property are:
3 (1 + 3) = 3. 1 + 3. 3
4 (2 – 1) = 4.2 – 4.1
Answer:
b
Step-by-step explanation:
Jeremiah paid $29.52 for a pair of boots that were on sale. The original price of the boots was $36.00. Enter the percentage discount for the cost of the boots.
Remark
The key to this question is to get the original price (36) down to 29.52. In other words, what % will when multiplied by 36 will result in 29.52?
Solution
36 * (x/100) = 29.52 Multiply both sides by 100
36 * x = 29.52 * 100 The 100 on the left disappears.
36 * x = 2952 The decimal disappears. Divide by 36
x = 2952/36
x = 82%
That is not your answer. That just tells you what % of 36 is that would give 29.52
Answer
The % discount is 100 - 82 = 18%. That is the % discount.
Final answer:
The percentage discount on the boots is calculated by first finding the discount amount ($6.48) and then dividing it by the original price ($36.00), which gives us an 18% discount.
Explanation:
To calculate the percentage discount on the boots, we must first determine the amount of the discount. The discount is the difference between the original price and the sale price, which is $36.00 - $29.52 = $6.48.
Next, we calculate the percentage discount using the formula:
Percentage Discount = (Discount ÷ Original Price) × 100%
Substituting in our numbers:
Percentage Discount = ($6.48 ÷ $36.00) × 100%
Percentage Discount = 0.18 × 100%
Percentage Discount = 18%
So, Jeremiah received an 18% discount on the boots.
Help ASAP please!!!!
First answer and correct answer gets the brain...
The fractions in this equation are 3/4 and 5/6. The denominators of those fractions are 4 and 6. The lowest common multiple (LCM) of the numbers 4 and 6 is 12. The LCM is 12 because this is the smallest multiple 4 and 6 have in common
Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, ....
Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, ....
The LCM has been highlighted in bold to make it easier to spot
Therefore, the LCD (lowest common denominator) of the fractions is 12. If we were to multiply both sides of this equation by the LCD, then we will clear out the fractions entirely to have whole numbers only left over.
Check out the attached image below for the steps of this process.
Final Answer: 9x + 36 = 10
Help................
Answer:
Could you include the entire picture in your question please? It would help me to answer your question.
Step-by-step explanation:
b1 = 2A/h - b2 would be your answer from what I can see in the picture.
The high temperatures for each day last week increased by one degree each day: 65°, 66°, 67°, 68°, 69°, 70°, 71°. What was the mean temperature for the week?
68° or
65° or
71° or
70°
Answer:
it would be 68
Step-by-step explanation:
i hope it helps
Griffin ordered a pair of sneakers online. He had a $16 credit that he applied toward the purchase, and then he used a credit card to pay for the rest of the cost. If the shoes cost $76, how much did Griffin charge to his credit card when he bought the sneakers?
Griffin used $60 on his credit card.
16 - 76 = 60
Final answer:
After applying a $16 credit to the purchase of $76 sneakers, Griffin charged $60 to his credit card.
Explanation:
Griffin has purchased sneakers online. The cost of the sneakers is $76, and he applied a $16 credit towards this purchase. To find out how much Griffin charged to his credit card, we need to subtract the credit from the total cost of the sneakers.
Calculation:
$76 (Total cost of sneakers) - $16 (Credit applied) = $60
Therefore, Griffin charged $60 to his credit card for the sneakers.
what is 5c + 12d - 6 ?
(simplifying algebraic expression)
The algebraic expression '5c + 12d - 6' cannot be simplified without knowing the values of the variables 'c' and 'd'. With specific values, you will be able to simplify the expression. For example, if c is 2 and d is 3, the expression simplifies to 40.
Explanation:The expression given, 5c + 12d - 6, is an algebraic expression which consists of variables, constants, and operations. Here, the variables are 'c' and 'd', the constants are 5, 12 and -6, and the operations are addition and subtraction.
In order to simplify this expression, we should know the values of the variables. Without knowing the specific values of 'c' and 'd', the expression 5c + 12d - 6 cannot be simplified any further.
Let me explain with an example. If 'c' is 2 and 'd' is 3, you would replace the variables 'c' and 'd' in the expression with their given values. This would give: 5(2) + 12(3) - 6 = 10 + 36 - 6 = 40. But without specific values for 'c' and 'd', the expression remains as 5c + 12d - 6.
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Triangle ABC and triangle CDE are similar right triangles. Which proportion can be used to show that the slope of AC is equal to the slope of CE?
A) 0 − 2 / 3 − 0 = 2 − 4 / 6 − 3
B) 2 − 0 / 3 − 0 = 4 − 2 / 6 − 3
C) 2 − 0 / 3 − 0 = 4 − 2 / 3 − 6
D) 2 − 0 / 0 − 3 = 4 − 2 / 6 − 3
Answer: B) [tex]\frac{2-0}{3-0}=\frac{4-2}{6-3}[/tex]
Step-by-step explanation:
1. You can calculate the slope by applying the following formula:
[tex]m=\frac{y_{2}.y_{1}}{x_{2}-x_{1}}[/tex]
2. The point A is (0,0) and the point C is (3,2).
Where:
[tex]y_{2}=2\\y_{1}=0\\x_{2}=3\\x_{1}=0[/tex]
3. The point C is (3,2) and the point E is (6,4).
Where:
[tex]y_{2}=4\\y_{1}=2\\x_{2}=6\\x_{1}=3[/tex]
4. Then, you have:
[tex]\frac{2-0}{3-0}=\frac{4-2}{6-3}[/tex]
[tex]\frac{2}{3}=\frac{2}{3}[/tex]
5. Therefore, the slope of AC is equal of the slope CE.
Tickets to a muesum cost 17 dollars each. The museum offers a 4 dollar discount. How much will tickets for 32 tickests cost?
Hello,
Question- Above
Answer-$540
Work- 32 times 17 = 544
544-4( Discount)= 540
Important- If my answer was good enough to help you please mark me as brainliest thanks you and have a great day!
Answer:
$540
Step-by-step explanation:
32*17=544
Then you add the discount which is four dollars...
544-4=540
Hope this helps, I'm no expert in math....
Nikita invests $2,000 into a bank account with a 4% annual interest rate. In seven years, which is the most expensive item she could afford to buy?
Answer:
Most expensive thing she can afford after 7 years is of worth 2560$
Explanation:
We need to calculate the interest on $2000 at 4% interest per year after 7 year(s).
The formula we'll use for this is the simple interest formula, I = P*r*t, I is the interest after t years, r is interest rate and P is the invest amount.
P = 2000$, r = 4/100 = 0.04, t = 7 years
So , I = 2000* 0.04 * 7 = 560$
Total amount she can retrieve from bank = P+I = 2000 + 560 = 2560$
Most expensive thing she can afford after 7 years is of worth 2560$
Answer:
The answer is (a mountain bike priced at $2,500) In Plato
Step-by-step explanation:
Place value of 214.9368
Solve for x.
23=7/9(6x−36)+9
Step 1. Simplify 7/9(6x - 36) to 7(6x - 36)/9
23 = 7(6x - 36)/9 + 9
Step 2. Factor out the common term
23 = 7 * 6(x - 6)/9 + 9
Step 3. Simplify 7 * 6(x - 6) to 42(x - 6)
23 = 42(x - 6)/9 + 9
Step 4. Simplify 42(x - 6)/9 to 14(x - 6)/3
23 = 14(x - 6)/3 + 9
Step 5. Subtract 9 from both sides
23 - 9 = 14(x - 6)/3
Step 6. Simplify 23 - 9 to 14
14 = 14(x - 6)/3
Step 7. Multiply both sides by 3
14 * 3 = 14(x - 60
Step 8. Simplify 14 * 3 to 42
42 = 14(x - 6)
Step 9. Divide both sides by 14
42/14 to x - 6
Step 10. Simplify 42/14 to 3
3 = x - 6
Step 11. Add 6 to both sides
3 + 6 = x
Step 12. Simplify 3 + 6 to 9
9 = x
Step 13. Switch sides
x = 9
Final answer:
The solution to the equation is x = 9.
Explanation:
To solve for x, we need to isolate it on one side of the equation.
Let's start by distributing 7/9 to the terms inside the parentheses:
23 = (7/9)(6x - 36) + 9
Next, simplify the expression inside the parentheses:
23 = (7/9)(6x) - (7/9)(36) + 9
Now, multiply 7/9 with 6x and 36:
23 = (42/9)x - (252/9) + 9
Simplify the fractions:
23 = (14/3)x - (28/1) + 9
Combining the constants:
23 = (14/3)x - 19
Add 19 to both sides:
23 + 19 = (14/3)x
Now we have:
42 = (14/3)x
To isolate x, divide both sides by 14/3:
42 / (14/3) = x
Simplify the expression:
42 * (3/14) = x
Now, calculate:
x = 9
21 feet to 8 yards write a ratio as a fraction in simplest form without any units
We know, 3 feet = 1 yard.
We have to convert feet to yards to calculate the ratio so that the final answer doesn't have any unit.
Therefore, 21 feet = [tex]\frac{21 feet}{3 feet}yards[/tex] = 7 yards
Thus, the ratio
[tex]\frac{21feet}{8yards} =\frac{7yards}{8yards} =\frac{7}{8}[/tex]
The fraction [tex]\frac{7}{8}[/tex] is already in its simplest form.
Therefore, the given ratio as a fraction in the simplest form without any units is [tex]\frac{7}{8}[/tex]
Final answer:
The ratio of 21 feet to 8 yards simplifies to 7/8 when both measurements are converted to the same units (feet) and the ratio is reduced to simplest form.
Explanation:
To write the ratio of 21 feet to 8 yards as a fraction in simplest form without any units, first, we need to ensure both measurements are in the same unit.
We know that 1 yard equals 3 feet, so 8 yards equal 24 feet. Therefore, the ratio of 21 feet to 8 yards (24 feet) can be written as 21 to 24, which simplifies to 7/8 when dividing both numbers by their greatest common divisor, which is 3.
which answer it is or like how do you solve it
they all have the same area bc they are the same triangge
I don’t really understand this. If you have time to, please explain how to solve this or give me the answer.
You would add the exponents so it'll be 2^3+2^4=2^7 and the same for the bottom which is gonna be -1.
Sketch each expression using addition and subtraction tiles or draw on a number line then find the simplified value of each expression
There are 15 people in a room.Each person ate 2/3 of a pizza.There was no pizza remaining.How many pizzas were in the room?
Answer:
10
Step-by-step explanation:
2/3 x 15 = 10
Suppose you invest 5000 at an annual interest rate of 6.3% compounded continuously. How much will you have in the account after 3 years
Problem
You deposit $5000 into a bank account paying 6.3% simple interest per year. You left the money in for 3 years. How much interest do you get at the end of those 3 years?
Result
The interest is $945.
Then you add 5000 to your interest rate of 945 so your answer would be 5945 . I think I'm not that great with math but I really hope I helped .
Evaluate. 6^2+(3x4)-2^4
32
PEDMAS - order of operations
Parenthesis
Exponents
Divide
Multiply
Add
Subtract
Answer:
33
Step-by-step explanation:
Parenthesis First:
3 * 4 = 12
Now Exponents:
6 ^ 2 = 36
2 ^ 4 =16
Put It Together:
36 + 13 = 49
49 - 16 = 33
The figure above the x-axis is the preimage. The figure below the x-axis is the image. Which transformation produced the image?
Answer:
Transformation : [tex](x,y)\rightarrow (x,-y)[/tex]
Step-by-step explanation:
We are given pre-image is above x-axis abd original figure below x-axis.
As we know y-axis below x-axis always negative. When we translate about x-axis only y value of each coordinate change.
x-coordinates remain same.
Best transformation for below x-axis to above x-axis would be [tex](x,y)\rightarrow (x,-y)[/tex].
For example, (2,-3) change to (2,3)
This is valid to all types of figures which form below x-axis.
find the value of r (r,6) and (4,8) m=2
m<p= 21x+25 and m <n= 675x-27/3
∠n and ∠p are supllementary angles, therefore m∠n + m∠p = 180°.
[tex]m\angle p=21x+25\\\\m\angle n=\dfrac{675x-27}{3}=\dfrac{675x}{3}-\dfrac{27}{3}=225x-9[/tex]
therefore
[tex](21x+25)+(225x-9)=180\\\\(21x+225x)+(25-9)=180\\\\246x+16=180\qquad|-16\\\\246x=164\qquad|:246\\\\x=\dfrac{164}{246}\\\\x=\dfrac{2}{3}[/tex]
[tex]m\angle p=21x+25[/tex]
substitute
[tex]m\angle p=21\cdot\dfrac{2}{3}+25=7\cdot2+25=14+25=39^o[/tex]
[tex]m\angle n=225x-9[/tex]
substitute
[tex]m\angle n=225\cdot\dfrac{2}{3}-9=75\cdot2-9=150-9=141^o[/tex]
Angles on a straight line add up to [tex]180^o[/tex].
The value of x is [tex]\frac 23[/tex].The measure of [tex]\angle p[/tex] is [tex]39^o[/tex].The measure of [tex]\angle n[/tex] is [tex]141^o[/tex]Given that:
[tex]\angle p = 21x + 25[/tex]
[tex]\angle n = \frac{675x - 27}3[/tex]
To calculate the value of x, we use:
[tex]\angle p + \angle n = 180^o[/tex] --- angle on a straight line.
So, we have:
[tex]21x + 25 + \frac{675x - 27}{3} = 180[/tex]
[tex]21x + 25 + 225x - 9 = 180[/tex]
Collect like terms
[tex]21x + 225x = 180 + 9 - 25[/tex]
[tex]246x = 164[/tex]
Divide both sides by 246
[tex]x = \frac 23[/tex]
To calculate the measures of p and n, we substitute [tex]x = \frac 23[/tex] in
[tex]\angle p = 21x + 25[/tex]
[tex]\angle n = \frac{675x - 27}3[/tex]
So, we have:
[tex]\angle p = 21x + 25[/tex]
[tex]\angle p = 21 \times \frac 23 + 25[/tex]
[tex]\angle p = 39[/tex]
[tex]\angle n = \frac{675x - 27}3[/tex]
[tex]\angle n = \frac{675 \times 2/3 - 27}{3}[/tex]
[tex]\angle n = 141[/tex]
Hence, the value of x is 2/3.
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PLEASE HELP!!! I️ HAVE TONS OF HW DUE!!! If 8 is added to twice a number and there some is multiplied by five the result is the same as if the number is multiplied by -8 and four is added to the product. What is the number
5(2x +8) = -8x + 4
Use distributive property:
10x +40 = -8x + 4
Subtract 40 from each side:
10x = -8x -36
Add 8x to each side:
18x = -36
Divide both sides by 18:
x = -36 / 18
x = -2
The number is -2
Answer any of these questions and get a good rating if you are correct. (Also this is multiplication with fractions)
1.What is the product in simplest form?
−8/9⋅5/6
2.What is the product?
Enter your answer as a fraction, in simplified form, in the box.
−4/5⋅10/16
3.(−2.1)⋅(−1.4)
Catherine 168 pieces of gum playing at a bean bag toss in the county fair at school she gave three to every student in her math class she has 8 remaining how many students are in her class
Givens
Let the number of students in the class be x
Let the number of pieces of gum she gave out be 3x
Equation
3x + 8 = 168 This will not work out evenly. Let's try x - 1. The reason for that is because she may not give out anything to herself.
3(x - 1) + 8 = 168 This doesn't work either.
Well we have to choose. It's a rounding problem.
3x + 8 = 168 Subtract 8 from both sides.
3x = 168 - 8 Combine
3x = 160 Divide by 3 on both sides.
x = 160 / 3
x = 53.333333333
Since that can't be, we could say there were 53 students.
3x