The factor of the equation 4x² + 12x + 9 is 2x+3. Then the correct option is A.
What is a quadratic equation?It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
The factor of the polynomial is calculated as:-
4x² + 12x + 9 = 4x² + 6x + 6x + 9
= 2x ( 2x + 3 ) + 3 ( 2x + 3 )
= (2x + 3)(2x + 3)
The factor is (2x + 3). Hence, the correct option is A.
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3x-4+7x-8-10x-2
Simplify
Answer:
The answer is -14
Step-by-step explanation:
P.S Can I have brainliest?
The population of Garden City in 1995 was 2,400. In 200, the population was 4,000. Write a linear equation in slope-intercept form that represents this data.
Answer:
[tex]y = 320x +2080[/tex]
Step-by-step explanation:
Given
Population in 1995 = 2400
Population in 2000 = 4000
Required
Determine the linear equation
Let the years be represented with x.
In 1995, x = 1 i.e. the first year
In 2000, x = 6
Let y represents the population
When x = 1; y = 2400
When x = 6; y = 4000
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4000 - 2400}{6 - 1}[/tex]
[tex]m = \frac{1600}{5}[/tex]
[tex]m = 320[/tex]
Next, we calculate the line equation as follows:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 2400 = 320(x - 1)[/tex]
[tex]y - 2400 = 320x - 320[/tex]
[tex]y = 320x - 320 + 2400[/tex]
[tex]y = 320x +2080[/tex]
Find the unit rate. Round the nearest hundredth if necessary.
$420 for 15 tickets.
A. $28 per ticket
B. $0.04 per ticket
C. $405 per ticket
D. $840 per 30 tickets
Answer:
28 dollars per ticket
Step-by-step explanation:
just divide 420 by 15 to get 28
1.7.PS-6
E Question Help
You buy 3.17 pounds of oranges, 1.35 pounds of peaches, and 2.68 pounds of grapes.
What is your total bill?
Grocery Store Prices
Item
Cost
Oranges $1.29 per
pound
Peaches
$1.19 per
pound
Grapes
$1.09 per
Pound
Your total bill is $.
(Round to the nearest cent as needed.)
Enter your answer in the answer box and then click Check Answer
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Answer:africa
Step-by-step explanation:
science
3. What is the slope of the line through the points (2, 5) and (6, 13)?
Answer:
m = 2
Step-by-step explanation:
[tex]m=\frac{rise}{run}=\frac{13-5}{6-2}=\frac{8}{4}=\boxed{2}[/tex]
Hope this helps.
HELP ASAP (1O BRAILY/POINTS FOR ANSWER)
What is the value of x in the solution of the system?
x + y = 3
y = -6x + 3
Step-by-step explanation:
x + y = 3 ---------------- eqn 1
y = -6x + 3 ------------- eqn 2
Substitute y for -6x + 3 in equation 1
x + -6x + 3 = 3
x - 6x + 3 = 3
-5x + 3 = 3
Collect like terms
-5x = 3 - 3
-5x = 0
Divide both sides by -5
x = 0
Hope this helped!
Step-by-step explanation:
x + y = 3 ---------------- eqn 1
y = -6x + 3 ------------- eqn 2
Substitute y for -6x + 3 in equation 1
x + -6x + 3 = 3
x - 6x + 3 = 3
-5x + 3 = 3
Collect like terms
-5x = 3 - 3
-5x = 0
Divide both sides by -5
x = 0
Need help with this one :) it’s math
Answer: Point B
Step-by-step explanation:
B is above the x axis which makes it positive, but it is to the left of the y axis which makes it negative
Answer:
B
Step-by-step explanation:
x horizontal y vertical
What is the space between two rays with the same endpoint?
angle
ray
O endpoint
O length
Answer:
Angle
Step-by-step explanation:
Ray is also known as the line. Endpoint is where the ray stops. Length is how long the ray is. Angle is the space inbetween the two lines!
the letters of the word independent are written on individual card and the cards are put into a box a card is selected and then replaced and then a second card is selected find the probality of obtaining the letter p twice
Answer:
The probability of obtaining the letter p twice is 1/121
Step-by-step explanation:
Probability of Recurring Events
There are 11 letters in the word 'independent', one of which is the letter 'p'.
When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.
This means the individual probability of getting a 'p' is:
[tex]\displaystyle P_1=\frac{1}{11}[/tex]
The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:
[tex]\displaystyle P_2=\frac{1}{11}[/tex]
We'll use the multiplication rule. Just multiply the probability of the first event by the second.
[tex]\displaystyle P=P_1*P_2=\frac{1}{11}*\frac{1}{11}[/tex]
[tex]\displaystyle P=\frac{1}{121}[/tex]
The probability of obtaining the letter p twice is 1/121
how many more pizzas dose the Westland location need to sell the equal downtown and center city locations
Answer:
530 :)
Step-by-step explanation:
If you add up the dowton and center city locations and then subtract that from the amount of pizzas at the westland location, you get your answer
Ray spent $4266 on a new TV. If he paid it off in 18 equal payments, how much was each payment
Answer:
$237
Step-by-step explanation:
4266 divided by 18
The regular price of a hooded jacket is $25.75. During a sale, the jacket was marked as 20% off. What was the approximate price of the jacket during the sale?
A.
$5.15
B.
$20.60
C.
$21.62
D.
$23.75
Answer:
5.15 hope this help!!!
Step-by-step explanation:
give this brainlieast so other people can know its not 20.60
The distribution of sample means for monthly employee income at a particular company for samples of 70 employees is normal, with a mean of $5971 and a standard deviation of $219 . You take a random sample of 70 employees from the company and find that their mean monthly income is $5 comma 751 . How many standard deviations is the sample mean from the mean of the distribution of sample means? Round to one decimal place.
Answer:
The value is [tex]z = -8.4[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 70
The mean is [tex]\mu = \$ 5971[/tex]
The standard deviation is [tex]\sigma = \$ 219[/tex]
The sample mean is [tex]\= x = \$ 5751[/tex]
Generally the number of standard deviations the sample mean is from the mean of the distribution is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]
=> [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]
=> [tex]z = -8.4[/tex]
which is bigger 1.7m or 0.9m
multiply 4-6i and -4+2i
Answer:
-4 + 32i
Step-by-step explanation:
use the distributive property to multiply
remember: i^2 = 1
(4 - 6i)(-4 + 2i)
-16 + 8i + 24i - 12i^2
-16 + 32i - 12(- 1)
-16 + 32i +12
-4 + 32i
Answer:
4 - (6 * i)) * ((-4) + (2 * i)) =
-4 + 32 i
Step-by-step explanation:
How do you write 7.3 x 10-1 in standard form?
Greg walks at a speed of 3 miles per hour. What is his speed in feet per second?
Answer: 1/20 miles per second
Step-by-step explanation:
I feel like this is the right answer but I don’t know how to explain it..
Answer:
4.4 feet
Step-by-step explanation:
Christina has 50 coins consisting of quarters and dimes. The coins combined value is $9.50. Write a system of equation to determine how many quarters and dimes Christina has.
Answer:
Christina has 30 quarters and 20 dimes.
Step-by-step explanation:
Given that a quarter is worth 0.25 dollars and a dime is worth 0.10 dollars, if Christina has 50 coins and these add up to a total of $ 9.50, to determine the number of quarters and dimes that she has in her possession, the following calculation must be carried out, taking into account that the difference between a quarter and a dime is 0.15 dollars:
50 x 0.25 = 12.5
12.5 - 9.5 = 3
Thus, the difference between the value that Christina has and the value that she would have if all of her coins were quarters is 3 dollars. Thus, since 0.15 x 20 equals 3, of the 50 coins Christina has, 30 are quarters and 20 are dimes.
This is confirmed through the following equation:
30 x 0.25 + 20 x 0.1 = X
7.5 + 2 = X
9.5 = X
I need help on both these questions
Simplify fractions
3\10
1/8
Answer:
Already simplified
Step-by-step explanation:
Answer:
Step-by-step explanation:
its preety simple you just have to divide 3/10 and 1/8 and you will get your two answers
Please help fast, thanks.
Answer:
b
Step-by-step explanation:
A study has shown that the daily amount of milk produced by a dairy cow is normally distributed, with a mean of 6.2 gallons and a standard deviation of 0.7 gallons. On a given day, 99.7% of the cows will produce an amount of milk within which of the following ranges?
Answer: 4.1 gallons to 8.3 gallons
Step-by-step explanation:
just took the quiz
99.7% of the cows will produce an amount of milk in the range is 5.5 gallons to 6.9 gallons option (A) is correct.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
The missing options are:
A. 5.5 gallons to 6.9 gallonsB. 4.8 gallons to 7.6 gallonsC. 4.1 gallons to 8.3 gallonsD. 3.4 gallons to 9.0 gallonsWe have:
A study has shown that the daily amount of milk produced by a dairy cow is normally distributed, with a mean of 6.2 gallons and a standard deviation of 0.7 gallons.
The mean = 6.2 gallons
Standard deviation = 0.7 gallons
The range can be calculated:
Lower range = 6.2 - 0.7 = 5.5 gallons
Upper range = 6.2 + 0.7 = 6.9 gallons
Thus, 99.7% of the cows will produce an amount of milk in the range is 5.5 gallons to 6.9 gallons option (A) is correct.
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Triangle ABC is reflected across the y-axis to form the triangle A'B'C', then dilated
with a factor of 1/3 to form triangle A"B"C". Which of the following statements is
true for AABC and AA"B"C'?
O A) AABC and AAB"C" are similar triangles.
B)
There's not enough information to identify whether AABC and AA"B"C" are
congruent or similar.
C) AABC and AA"B"C"are congruent triangles.
D AABC and AA"B"C" are neither similar nor congruent.
Given:
Triangle ABC is reflected across the y-axis to form the triangle A'B'C'.
Then dilated with a factor of 1/3 to form triangle A"B"C".
To find:
The correct statement for triangles ABC and A"B"C".
Solution:
We know that reflection is a rigid transformation, it means size and shape of the figure remains same after reflection.
So, figures are always congruent to their images after reflection.
[tex]\Delta ABC\cong Delta A'B'C'[/tex] ...(i)
Dilation is not a rigid transformation. Here, shape remains same nut the size is different.
So, figures are always similar to their images after dilation.
[tex]\Delta A'B'C'\sim \Delta A"B"C"[/tex] ...(ii)
Using (i) and (ii), we get
[tex]\Delta ABC\sim \Delta A"B"C"[/tex]
ΔABC and ΔAB"C" are similar triangles.
Therefore, the correct option is A.
18. Find the missing length indicated.
Find HJ
x+27
X+ 17
Answer:
The answer ia -30. Hope i help
Answer:
The answer is 30 hope it helps
Dad gave his son 60 euros to buy wallpaper. In the store, it turned out that the price for one roll wallpaper increased by 3 euros, and because of this, the son was able to buy 1 roll of wallpaper less than he needed. How many rolls of wallpaper could he buy and how much did one roll cost? Did he do the right thing to buy the wallpaper?
Answer:
$92.296
Step-by-step explanation:
no, he did not make the right decision that's $19.096 over the budget.
A net of a storage trunk is shown. Which is the trunk's surface area?
Leonel has $25.00 to spend. He decided to buy a hat for $18.75 and spend the rest on wristbands. If each wristband costs $4.75, how many wristbands can Leonel buy?
Please Explain and show answer
Looking at the graph. When x = 1, y = 15.
Meaning that each hours, the gallon of water will be filled in 15 gallons.
So in 10 hours, that'd be
10 × 15 = 150 gallons of water.
Therefore, the answer is 150 gallons of water.
Which of the following numbers is closest to 11?
O A. 7123
B. V115
O c. 118
O D. 120
Answer:
the answer is D
Step-by-step explanation:
A. √123 = 11.09
11.09-11 = 0.09
B. √115 = 10.72
11-10.72 = 0.28
C. √118 = 10.86
11-10.86 = 0.14
D. √120 = 10.95
11-10.95 = 0.05 ( the smallest difference )
A hybrid SUV gets 32miles per gallon on the highway driving at a constant 55 miles per hour.At this rate, how many gallons per hour does the hybrid SUV use?
Answer:
a
Step-by-step explanation:
The hybrid SUV uses 32/55 gallons per hour which is the correct answer would be an option (A).
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
The operator that perform the arithmetic operations are called arithmetic operators.
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Given that a hybrid SUV gets 32miles per gallon on the highway driving at a constant 55 miles per hour
To determine miles per gallon of gas,
We take the 32miles the hybrid SUV travels and divide it by the highway driving at a constant 55 miles per hour
⇒ 32/55
Hence, the hybrid SUV uses 32/55 gallons per hour.
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