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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The maker of a cell phone screen protector would like to estimate the proportion of customers who file a warranty claim. To do so, they select a random sample of 200 customers and determine that the 96% confidence interval for the true proportion of customers who file a warranty claim to be 0. 15 to 0. 28. Which of these statements is a correct interpretation of the confidence level?
Approximately 96% of customers file a warranty claim.
The cell phone screen protector maker can be 96% confident that the interval from 0. 15 to 0. 28 captures true proportion of customers who file a warranty claim.
If many random samples of size 200 are selected from the population of all customers, approximately 96% of the sample proportions of customers who file a warranty claim will be between 0. 15 and 0. 28.
If many random samples of size 200 are selected from the population of all customers, about 96% of the intervals constructed from the samples would capture the true proportion of customers who file a warranty claim
According to the interpretation of the confidence interval, the correct statement is:
The cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim.
What is the interpretation of a x% confidence interval?It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.
In this problem, we have a 96% confidence interval between 0.15 and 0.28, hence we are 96% confident that the population proportion is between these values, and the correct option is:
The cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim.
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Answer: If many random samples of size 200 are selected from the population of all customers, about 96% of the intervals constructed from the samples would capture the true proportion of customers who file a warranty claim
Step-by-step explanation: took the test
is 5,200 feet 145 inches greater or less than 1 mile 40 inches
Answer:5,200ft and 145in is less than a mile and 40in
Step-by-step explanation: I got this answer by first figuring out how many feet are in 145in so i did 145 divided by 12 which gave me 12.083... so I added just 12 to 5,200 which gives 5,212
Then I know that there are 5,280ft in 1 mile which is already bigger than 5,212 then I still add 40 divided by 12 which equals 3.3... to the total which gives me 5,283ft which is more than 5,212
Hope this Helps!
The ratio of each interior angle to each exterior angle of a regular n-sided polygon is 7:2. Find
the value of n.
Answer:
the value of n is 9
Step-by-step explanation:
7:2=each interior angle/each exterior angle
7:2= (n-2)180/360
7/2=(n-2)/2
14=2n-4
2n=18
n=9
The two figures are congruent. Which of the following statements is true?
Answer:
The answer would be D
Step-by-step explanation:
6 Résolvez les équations suivantes.
a. x + 4 = 12
d. -14 = 2x
b. x + 5,1 = x + x
e. 5 = 4x
C. 6x = x - 15
f. x + 8 = 2x + 3
=
-
Step-by-step explanation:
a) x + 4 = 12
=> x + 4 - 4 = 12 - 4
=> x = 8
d) - 14 = 2x
=> -14/2 = 2x/2
=> -7 = x
x = -7
b) x + 5,1 = x + x
1 = x + x
1 = 2x
1/2 = 2x/2
x = 1/2 or 0.5
e) 5 = 4x
=> 5/4 = 4x/4
=> x = 5/4 or 0.8
c) 6x = x - 15
=> x - 15 = 6x
=> -15 = 6x - x
=> -15 = 5x
=> -15/5 = 5x/5
=> x = -3
f) x + 8 = 2x + 3
x+8=2x+3
x+8−2x=2x+3−2x
−x+8=3
−x+8−8=3−8
−x=−5
−x/−1 = −5/−1
x=5
J'espère que cela vous aidera, si vous avez d'autres problèmes, dites-le moi
1.) Mrs. Tom is having triplets. What is the probability that all three children will be boys?
Answer:
1/3
Step-by-step explanation:
due to her having triplits it will be a 1/3 chance that they will all be boys because you need to take in account the three children
Answer:
Step-by-step explanation:
There are 8 different ways that the order of the children is 1/8 for each one.
So for boy * boy * boy = 1/2 * 1/2 * 1/2 = 1/8
All of the other possibilities also produce 1/8 because each child has a possibility of 1/2 to be a boy or a girl.
The quantity a varies jointly with b and c. When b= 7 and c = 3, a = -42. What is the value of k, the constant of variation?
The value of k, the constant of variation from the given joint variation as evident from the task content is -2.
How to find constant of variation?
a = k × b × c
where,
a = -42b = 7c = 3k = constant of variation-42 = k × 7 × 3
-42 = 21k
divide both sides by 21
k = -42 / 21
k = -2
Therefore, the constant of variation, k is -2
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Mario walked at a rate of 2/3
mile every 10 minutes.
What was his walking rate in miles per hour?
Answer:
Mario's unit rate is 900
Step-by-step explanation:
hooe this helps
Answer:
4mi/hr
Step-by-step explanation:
Mario's walking rate is (2/3mi)/(10min)
Convert minutes to hours:
(2/3mi)/(10min) * (60min)/(1hr) =
(2/3mi*6min)/hr=
4mi/hr
What is the product of a 3 and −2a2 15a 6b2? −2a3 9a2 45a 24b2 −2a3 21a2 45a 24b2 −2a3 9a2 45a 6ab2 18b2 −2a3 21a2 45a 6ab2 18b2
The product of the two equation in which one has single power of variable and another one has the highest power of variable two, is -2a³+9a²+45a+6ab²+18b².
What is the product?Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,
[tex]p=a\times b[/tex]
Here, (a, b) are the real numbers.
The binomial equation given in the problem is,
[tex]a+ 3[/tex]
The second equation given in the problem is,
[tex]-2a^2 +15a+ 6b^2[/tex]
The product of these two equations are,
[tex]p=(a+3)\times (-2a^2 +15a+ 6b^2)\\p=-2a^3+15a^2+6ab^2-6a^2+45a+18b^2\\p=-2a^3+9a^2+45a+6ab^2+18b^2[/tex]
Thus, the product of the two equation in which one has single power of variable and another one has the highest power of variable two, is -2a³+9a²+45a+6ab²+18b².
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Answer:
OPTION C
−2a3+9a2+45a+6ab2+18b2
Step-by-step explanation:
100 on edg im swag like tht
An ice cream shop sold 88 scoops of strawberry ice cream, which was 25% of the total number of scoops sold that day. What was the total number of ice cream scoops sold by the ice cream shop that particular day?
Answer:
352
Step-by-step explanation:
if 88 is only a forth
88*4=352
a. (-9,-6)
b. (-6,-9)
c. (9,6)
d. (6,9)
Answer:
The answer is D because if you reflect across the y-axis then the x-axis you get D
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS
Use the information provided to answer Part A and Part B.
During the first month of the year, Beckah bikes 6 miles. Each month after that, she bikes twice as many miles as she biked during the previous month.
Part A
Which equation models how many miles, d, Beckah bikes during the nth month of the year?
d=6+2n
d=6+2(n−1)
d=6⋅2^n
d=6⋅2^n−1
Part B
How many miles did Beckah bike during the fifth month of the year?
14 miles
16 miles
96 miles
192 miles
The equation that models the number of miles that Beckah bikes during the nth month of the year will be D. 6 × 2^n−1.
How to calculate the equation?From the information, the equation that models the number of miles that Beckah bikes during the nth month of the year will be 6⋅2^n−1.
The number of miles that Beckah bike during the fifth month of the year will be:
= 6⋅2^5 −1.
= 6 × 16
= 6 × 16
= 96 miles.
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In the triangle below a=16. What is the area of the triangle to the nearest hundredth of a unit?
Answer:
-3.65
Step-by-step explanation:
(16/sin 120) sin 25
HELP PLS QUICK!!
A person can travel at the speed of 40 miles per hour. If the speed is increased by 50%, how long will it take to cover 330 miles?
1. Understand
a. What is asked? ____________________________________________
b. What are the given facts? ____________________________________
2. Plan
What is the formula to solve the problem? ____________________________
3. Solve
Show your solution. ______________________________________________
4. Check
Look back. ______________________________________________________
Answer:
5.5 hours
Step-by-step explanation:
1. Understand
A person can travel at the speed of 40 miles per hour (mph). If the speed is increased by 50%, how long will it take to cover 330 miles?
a. What is asked? How long will it take to cover 330 miles travelling at a speed 50% greater than 40 mph
b. What are the given facts?
Current Speed = 40 mph
New Speed = 40 mph + 50% of 40 mph
Distance = 330 miles
2. Plan
Calculate the new speed and then use the two speeds to calculate time based on Distance = Speed x Time
What is the formula to solve the problem?
Distance = Speed x Time
3. Solve
Show your solution.
Original Speed = 40 mph
New Speed = 40 + (0.5)*(40): New = 60 mph
Time at New Speed is:
Distance = Speed x Time
330 miles = (60 mph)*(Time)
Time = (330 miles)/(60 miles/hour)
Time = 5.5 hours
4. Check
Distance = Speed x Time
How far does a person travel going 60 miles/hour for 5.5 hours? Is it 330 miles?
Distance = (60 mph)*(5.5 hours)
Distance = 330 miles
YES
Look back. ___________ Police!Find the volume of figure. Round your answers to the nearest tenth, if necessary.
Answer:
452.39
Step-by-step explanation:
The volume of the cylinder is 452.39
hope this helps <3
Answer:
452.39
Step-by-step explanation:
Debra saved only dimes and nickels in her bank. When she last counted the coins, she noticed there were twice as many dimes as nickels. She has $4.75 in her bank. how many dimes did she have in her bank?
A. 12
B. 24
C. 19
D. 38
please help me:)
Montel uses 8 ounces of sugar to make 36 fluid ounces of lemonade.If he makes 108 fluid ounces of lemonade to bring to a party,how many ounces of sugar will he use? *help me pls T^T*
ANSWER PLS<3 :)))
25 points each!!
see photo below v
Answer:
D
Step-by-step explanation:
f(g(x)) = x when the two functions are inverses
A. f(g(x)) = 2/((x+6)/2) - 6 = (4/(x+6)) - 6 = (4 - 6x - 36)/(x+6) = -(6x+32)/(x+6), wrong
B. f(g(x)) = [tex]\frac{\sqrt[3]{5x^{3} } }{5}[/tex] = x[tex]\frac{\sqrt[3]{5} }{5}[/tex], wrong
C. f(g(x)) = (3x-4)/3 + 4 = x + (8/3), wrong
D. f(g(x)) = 2((x+9)/2) - 9 = x
Your friend has $100 when he goes to the fair. He spends $10 to enter the fair and $20 on food. Rides at the fair cost $2. 00 per ride. Which function can be used to determine how much money he has left over after x rides? (1 point)
Will give brainliest. A figure is shown. 4 ft 6 ft Find the area of the figure above =[x] units
Answer:
24 ft sq.
Step-by-step explanation:
Multiply the base and height to get your annswer!
Answer:
24 units²
Step-by-step explanation:
The given shape is a parallelogram.
Here,
Base ( b ) = 6 ft
Height ( h ) = 4 ft
To find : Area
Formula : -
Area of parallelogram = bh
Area of parallelogram
= 6 x 4
= 24 units²
Chris and Sam earn money shoveling snow, as described below. The amount of money Chris earns can be modeled by the equation y=8.25x, where the y is the total amount of money, in dollars, earned in x hours. The table below shows the relationship between the total amount of money earned,y, in dollars, and the total amount on time worked, x, in hours, for Sam.
Based on the data given on the amounts Chris and Sam are paid, we can infer that Chris earns $0.75 more per hour than Sam.
How much do Chris and Sam earn?Chris earns $8.25 an hour according to the equation that shows how he is paid of y = 8.25x.
The amount earned by Sam can be found as:
= Any value of y / Corresponding value of x
= 30 / 4
= $7.50 per hour.
The difference between their pay is:
= 8.25 - 7.50
= $0.75
In conclusion, Chris earns $0.75 more.
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You are collecting data to find out what the most popular lunch choice is. Each lunch period, you ask 15 students who buy lunch. There are 4 lunch periods a day. 25 students choose pizza. If there are about 600 students who buy lunch each day, about how many can you predict will buy pizza?
Answer:
250
Step-by-step explanation:
1. Find the total amount of people interviewed
You asked 15 students over 4 periods of lunch. That means you have to multiply:
15 x 4 = 60. You asked 60 people total.
2. Solve
You know that 25 people chose pizza out of the 60 people that you interviewed. That would make a fraction: 25/60
Now, there are 600 people, and the question is asking you how many people will get pizza based on the ratio of 25/60
So, in this case, 25/60 = x/600
You have to multiply 60 by 10 to get 600 as your denominator.
So, similarly, you have to multiply 25 by 10 to keep the same ratio.
25 x 10 = 250
Hence, 250/600 people will buy pizza.
Hope this helps,
-jp524
Determine the intercepts of the line.
Y-intercept: ( __ , __ )
X-intercept: ( __ , __ )
Answer:
x-intercept : (-1.2,0)
y-intercept : (0,-0.7)
Step-by-step explanation:
Hello!
An x-intercept is when the y-value is 0, and a y-intercept is when the x value is 0.
Another way to think about it, x-intercepts intersect with the x-axis, while the y-intercept intersects with the y-axis.
A coordinate, a point on a graph, is written as (x,y) or x-position and y-position.
x-intercept : (-1.2,0)
y-intercept : (0,-0.7)
Angles P and Q are complementary.
Angle P =2x
Angle Q =7x
Find the value of x. What is the measurement of Angle P? What is the measurement of Angle Q?
Answer:
Explained below.
Step-by-step explanation:
Complementary angles are angles that sum up to 90°.
Here,
Angle P = 2xAngle Q = 7xThen,
Angle P + Angle Q = 90°
2x + 7x = 90°
9x = 90°
x = 90/9
x = 10°
Therefore,
Measurement of Angle P = 2x = 2*10 = 20°Measurement of Angle Q = 7x = 7*10 = 70°[tex]\rule{150pt}{2pt}[/tex]
For moves less than 50 miles, a moving company charges $180 per hour and a $50 gas fee.
Which function rule represents the amount in dollars, C, the company charges for h hours?
A:OC=50h - 180
B:OC=50h+ 180
C:OC=180h+ 50
D:OC= 180h - 50
Answer:
C
Step-by-step explanation:
the 50 miles don't really matter in this situation. 180$ per hour will be 180h (as we don't know the number of hours used) and the 50$ gas fee, which is what C is representing.
Answer:
C: C = 180h + 50
Step-by-step explanation:
180 per hour, with h representing how many hours, and then you need a $50 gas fee. So, the answer would be C = 180h + 50
The surface area of a cube is 294 cm². What are
the dimensions of the cube?
Answer:
Read Expl.
Step-by-step explanation:
To go from a length to the surface area, you can do 6[tex]l^{2}[/tex]
So you can backtrack, you can do 294/6 which is 49
[tex]\sqrt{49}[/tex] is what you can do next and that will get you 7.
anything to help with please
Find the volume of the composite solid.
Answer:
366 cm^3
Step-by-step explanation:
V = lwh
1st rectangle (L) = 3 x 6 x 15 = 270 cm^3
2nd rectangle (R) = 6 x 4 x 4 = 96 cm^3
270 + 96 = 366 cm^3
Hope this helps
Solve the equation. 2x − 3 4x = 21 x = −12 x = −6 x = 4 x = 6
The solution of the equation after solve the equation, 2x − 3 4x = 21 is 4. Option 3 is correct.
How to obtain the solution of equation?To obtain the solution of an equation, the similar terms should be arranged together and then mathematical operation need to be performed to simplify it.
The equation which is provided to solve is,
[tex]2x - 3 +4x = 21[/tex]
To solve this equation, arrange the like terms as,
[tex]2x - 3 +4x = 21\\2x +4x - 3 = 21\\6x-3=21[/tex]
Add number 3 both side of the equation as,
[tex]6x-3+3=21+3\\6x=24[/tex]
Divide both side of the equation with number 6, we get,
[tex]x=\dfrac{24}{6}\\x=4[/tex]
Hence, the solution of the equation after solve the equation, 2x − 3 4x = 21 is 4. Option 3 is correct.
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