Answer:
x = - 12, x = 2
Step-by-step explanation:
Given
x² + 10x = 24
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(5)x + 25 = 24 + 25
(x + 5)² = 49 ( take the square root of both sides )
x + 5 = ± = ± 7 ( subtract 5 from both sides )
HOPE THIS HELPS
Answer:
x = 2 , − 12
Step-by-step explanation:
Use the formula ( b /2 ) (^)2 in order to create a new term. Solve for x by using this term to complete the square.
(x + 4)
110°
3x
Measure of
Answer:x=57
Step-by-step explanation:
Answer:
30.5
Step-by-step explanation:
Measure of angle A and B equals 110 because of how triangles work
Therefore 3x + x + 4 = 110
4x + 4 = 110
Subtract 4 from each side
4x = 106
Divide both sides by 4
x = 26.5
Measure of angle ABC equals 26.5 + 4 = 30.5
Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a to the power of 5 and 9a to the power of 5.
Answer:
[tex]36a^5[/tex].
Step-by-step explanation:
In a right angle triangle,
Length of one leg [tex]=12a^5[/tex]
Length of other leg [tex]=9a^5[/tex]
According to the Pythagoras theorem,
[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]
Using Pythagoras theorem,
[tex]Hypotenuse^2=(12a^5)^2+(9a^5)^2[/tex]
[tex]Hypotenuse^2=144(a^5)^2+81(a^5)^2[/tex]
[tex]Hypotenuse=\sqrt{225(a^5)^2}[/tex]
[tex]Hypotenuse=15a^5[/tex]
Perimeter of right angle triangle is the sum of all sides of the triangle.
[tex]Perimeter=12a^5+9a^5+15a^5[/tex]
[tex]Perimeter=36a^5[/tex] units.
Therefore, the required expression is [tex]36a^5[/tex].
What is the solution to this system of equations?
Negative 3 x + 5 y = negative 2. 3 x + 7 y = 26.
(4, 2)
(2, 3 and one-third)
no solution
infinitely many solutions
Answer:
4,2
Step-by-step explanation:
did the test
The solution of the system of equation is (4, 2) which is correct option(A).
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Given the two systems of equations,
-3x + 5y = -2
3x + 7y = 26
Adding the both equations
-3x + 5y + 3x + 7y = -2+26
12y = 24
y = 2
Substitute the value of y in any one of the equations,
3x + 7 y = 26
3x + 7(2) = 26
3x = 26-14
3x = 12
x = 4
Hence, the solution of the system of equation is (4, 2).
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1) Which of the equivalent expressions for P(x) reveals the price which gives a profit of
zero without changing the form of the expression?
P(x) = -3x? + 432x - 1680
b) P(x) = -3(x-4)(x - 140)
P(x) = -3(x - 72)2 + 13872
2) Find a price, which gives a profit of zero.
Answer:
1. (B)P(x) = -3(x-4)(x - 140)
2. $140
Step-by-step explanation:
(1) Given the profit function, P(x) where x is the price, the expression which reveals the price which gives a profit of zero without changing the form of the expression is:
P(x) = -3(x-4)(x - 140)
This is as a result of the fact that equating it to zero immediately yields the zeros of the quadratic polynomial.
(2)When the profit, P(x)=0, then using the expression above we have:
[tex]P(x) = -3(x-4)(x - 140)\\Since -3\neq 0, then:\\x-4=0$ or x-140=0\\x=4 or x=140[/tex]
A price of $4 or $140 as the case may be gives a profit of zero.
1. Warp coils, like those found on my new spaceship, are manufactured in groups of 36 (as everyone
knows). If there is a 4% rate of defect in manufacturing,
a) find the mean number of defects per group.
a)
Answer:
1.44
Step-by-step explanation:
No. of warp coils manufactured in one group = 36
defect rate = 4%
That is 4 out of every 100 warp coil is defective
No. of defective warp coil in one group = 4% of warp coil in one group
= 4% of 36 =4/100 *36
= 1.44
Thus, there are 1.44 defective coil in each group.
Since, mean number is average number of defect.
So if each group has 1.44 defective coils then mean for all the group will remain same i.e 1.44
A baseball coach purchased a total of 28 helmets and caps. Each helmet cost $21.50, and each cap cost $8.25. If the coach spent a total of $363.50, how many helmets did the coach purchase?
Answer:
5 helmets
31 caps
8.25, 16.50 24.75 33 x 10 = 330
330/2 = 165 = 20 helmets
363.50 - 165 = 198.50
5 x 21.50 = 107.50 (+ 11 x 8.25 = 16.50+24.75 +24.75+24.75 = 49.50+41.25) =£91 + 107.50 = 198.50
20+11 = 31
31 caps
5 helmets
Step-by-step explanation:
There are 10 helmets did the coach purchase.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
A baseball coach purchased a total of 28 helmets and caps.
And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.
Let number of helmets = x
And, Number of caps = y
Here, A baseball coach purchased a total of 28 helmets and caps.
Hence, We get;
⇒ x + y = 28 ..(i)
And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.
Hence, We get;
⇒ 21.50x + 8.25y = 363.50
⇒ 5 (4.30x + 1.65y) = 5 × 72.7
⇒ 4.30x + 1.65y = 72.7 .. (ii)
Multiply by 4.30 in (i) ad subtract from (ii);
⇒ 4.30x + 4.30y - 4.30x - 1.65y = 120.4 - 72.7
⇒ 2.65y = 47.7
⇒ y = 18
And, From (i);
⇒ x + y = 28
⇒ x + 18 = 28
⇒ x = 10
Hence, Number of helmets = 10
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Find the 76th term of the arithmetic sequence 17, 19, 21, ...
Answer: 167
Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.
[tex]^{a}n = ^{a}1 (n - 1)d[/tex]
Since we want to determine the 76th term, we are going
to substitute 76 in for n in our explicit formula.
Then, [tex]^{a}1[/tex] will be our first term in our sequence which is 17.
Lastly, d is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.
So we have [tex]^{a} 76 = 17 + (76 - 1)(2)[/tex].
Now we have all the information we need. Just simplify from here.
Make sure to apply order of operations because this is where many
students make mistakes. Inside the parentheses first!
(76 - 1) is going to be 75.
So we have [tex]^{a} 76 = 17 + (75)(2)[/tex].
Then, we have to make sure we multiply before we add.
So (75)(2) is going to give us 150.
So we have [tex]^{a} 76 = 17 + 150[/tex].
Now just add to find that [tex]^{a} 76 = 167[/tex].
So the 76th term is 167.
I need help plzzzz I’m nearly done
Answer:
≈ 70.4 cm
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , thus
C = 2 × 3.142 × 11.2 ≈ 70.4 ( to 1 dec. place )
Find the probability that a point chosen at random will lie in the shaded region.
I don't understand what to do here :(
Step-by-step explanation:
In the 1st question
Total boxes = 6
Shaded boxes = 2
Probability = 2/6 = 1/3
12. For angle A it is known that sin(A)>0 and tan (A) <0. If A is drawn in standard position, in which quadrant
does its terminal ray lie?
Answer:
Quadrant 2
Step-by-step explanation:
Sin = opp/hyp and opp is positive in quadrants 1 & 2.
Tan = opp/adj - we need one of these values to be positive and the other negative. adj is negative in quadrants 2 & 3.
Quadrant 2 is found in both of the scenarios that we need to occur.
PLZZZ HELP ME I NEED HELP AND I HAVE A TIMER AND I WILL GIVE YOU BRAINLEST
On a coordinate plane, 2 lines intersect around (3.8, negative 1.5).
Given the graph of a system of equations, which statements are true about the solution? Check all that apply.
The x-value is an integer.
The x-value is between 3 and 4.
The y-value is between –2 and –1.
The x-value is positive.
The x- and y-values have the same sign
Answer:
b,c,d
Step-by-step explanation:
I just did the assignment
Answer:
b, c. d
Step-by-step explanation:
Each side of a square name tag is 7 centimeters long. What is the name tag's area?
Answer:
49 cm²
Step-by-step explanation:
The area for a square is Area = length x width, and if the square name tag is 7cm long on "each side", that means that both the length and the width are 7cm.
Plug this into the formula to get A = 7cm x 7cm.
This can be simplified to A = 49cm².
Answer: 49 cm^2
Step-by-step explanation:
7 x 7 = 49
Justin played a game with 24 floating plastic ducks each with a colored sticker on the bottom. There are an equal number of red blue and green stickers on the set of ducks. What is the probability that one duck chosen at random will have a red or blue sticker
Answer:
Because there are 24 ducks total and they are separated equally into three categories, we can figure out that there are 24 / 3 = 8 ducks of each color. This makes the probability of pulling a red/blue duck would be (8*2)/24 or 16/24. If we want this to be a percentage we can just solve 16/24*100 and it will give us 66.66...%
The temperature in a greenhouse should be 65 degrees or higher. One morning, the heater stopped working. The temperature dropped 2 degrees before someone fixed the heater. The temperature was still at least 65 degrees when the heater started working again. How can you best describe the temperature in the greenhouse before the heater stopped working?
how do i solve this?
Answer:
idk
Step-by-step explanation:
idk
Answer:
that is to hard
Step-by-step explanation:
The likelihood that Steph makes a free throw in basketball is 60%. The likelihood he makes a 3-point shot is 0.345.
Which event is more likely, Steph making a free throw or making a 3-point shot?
Drag the different shots to the correct location on the number line?
which on is first on the number line free throw or making a 3-point shot?
which on is second on the number line free throw or making a 3-point shot?
Answer:
A free throw is more likely
First: 0.345
Second: 60%
Step-by-step explanation:
For placement:
0.345 would be behind 0.5
And
60% would be ahead of 0.5
60% = 0.6
0.345 < 0.6
Answer:
A free throw
Step-by-step explanation:
please help! desperateee
Answer:
52
Step-by-step explanation:
This is an isosceles triangle, so the base angles will be the same. Then you know that all of your angles will add up to 180.
Your equation can be:
2(2x+2) + (3x + 1) = 180
x = 25
S = 2(25) + 2
S = 52 degrees
Answer:
52
Step-by-step explanation:
Because SR = TR, ∡S =∡T= 2x+2
For any triangle sum of all angles = 180°.
2x+2 +2x+2+3x+1= 180
7x + 5 =180
x = 25°
∡S =2x+2=2*25+2 = 52°
Can you help me find MAD for this
Answer:
5
Step-by-step explanation:
(3+15+21+13)/4 = 13
13 - 3 = 10
15 - 13 = 2
21 - 13 = 8
13 - 13 = 0
(10+2+8+0)/4 = 5
f(n) = 41 – 5n
Complete the recursive formula of f(n).
f(1) =
f(n) = f(n − 1)+
Answer:
f(1) = 36
f(n) = f(n-1) - 5.
Step-by-step explanation:
f(1) = 41 - 5 = 36.
f(n) = f(n - 1) - 5.
A survey was done to investigate the relationship between liking math and learning a musical
instrument. The results are shown in the Venn diagram below. If a person was selected at
random from this survey, which of the following would be the probability of liking math given
that they don't take music?
A) 0.22
Likes Math
Takes Music
B)
0.28
C)
0.33
22
80
45
D)
0.37
38
The probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
The probability:
P(Math/Music') = P(Math∩Musci')/P(Music')
Total number of sample = 22+80+45+38 = 185
Probability of liking math:
P(Math) = (22+80)/185 =0.55
Probability:
P(Music) = (45+80)/185 = 0.68
P(Music') = 1-0.68 = 0.32
Probability of liking math and liking music:
P(Math∩Music) = 80/185 = 0.43
Now, P(Maths/Music) = (0.55 - 0.43)/0.32 = 0.375 ≈ 0.37
Thus, the probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.
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Pls answer quickly, this is due today !!!!!!
Mrs. Rappa has decided to take her $2,000 and go check out the savings accounts at Circle Bank of PI Haven. She picks up a flyer in the lobby. There are a couple of savings accounts to choose from. Look at the copy of the information from the flyer below. Write a letter to Mrs. Rappa and offer your advice to her about her options. Be sure to tell Mrs. Rappa your reasoning (using sentences and showing calculations for each account) to decide which account is best. If you have additional advice for Mrs. Rappa about the number of years she is investing her funds - you may do so.
Savings Accounts Interest Rate Years in account
Sleepy Savings 5% 7
Centsational Savings 10% 3
Answer:
Step-by-step explanation:
Dear Mrs.Rappa,
I don't know much about this but i do know that saving accounts are risky and she should just set up a checking. Because it's proven that you'll take the risk of losing value in your money. And you take a risk, but to help you more i need to know about what the 5% 7 means. if i do know what it's means, but the 5% is good, it's compound interest which means you get more money on that interest It grows, but as far as the 7 goes, IDK. but the saving %"s are good like yay money, but she takes the risks. So why the risk is there is because of the stock market, and also because the bank takes other clients money for them to pay other client's. So a risk in 7yrs.
Sincerely,
First name Last name Here
What is x2 + 6x = x2 - 6x as a system?
Answer:
x = 0
Step-by-step explanation:
I WENT TO PHOTO MATH
H O P E I T H E L P S ! ™©
Answer:
A. y=x^2+6x
y= x^2-6x
the answer to the second part is 0
Step-by-step explanation:
on edgenuity 2020 :))
Von mixes tomato sauce and milk to make soup. First he puts 150 milliliters of
tomato sauce in a pot. Next he adds the milk that is in the measuring cup. How
many milliliters of soup does he make?
A. 400 milliliters
B. 460 mill
C. 350 mill
D. 500 mill
Answer:
500 milliliters or ml
Step-by-step explanation:
First, we find the amount of milk is in the measuring cup which is 350 ml and then add 350 ml of milk to the 150 ml of tomato sauce to get 500 ml.
Hope it helped :)
The amount of soup made by Von is equal to 500 milliliters. Hence, option D is correct.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the data given in the question,
Von mixes tomato sauce and milk to make soup.
Initially, the amount of tomato sauce added in the pot = 150 milliliters.
Then, milk is added that is in the measuring cup that is 350 milliliters.
So,
The total amount of soup made by him,
= 150 + 350
= 500 milliliters.
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one and a half miles in one hour
Answer:
I don't get your question but if you are asking. How long is 1 hour and a half?
The answer for this question is 15 minutes.
Step-by-step explanation:
How long is 1 hour and a half?
15 minute is the right answer
What is the answer to this?
4 x (3-2) + 18
PLEASE HURRY UP!!
Answer:
22
Step-by-step explanation:
4x(3-2)+18
4x(1)+18
4+18
22
4x+18
Answer:
22
Step-by-step explanation:
4 x (3-2) + 18
PEMDAS says parentheses first
4 x (1) + 18
Then multiply and divide
4 +18
Then add and subtract
22
HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The first one dividing the number by 100
Step-by-step explanation:
Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. y = negative 4. Step 5 Solution is (3, negative 4). Is Claire’s solution to the system of equations correct? Explain why or why not. No, Claire should have multiplied the second equation by negative two instead of positive two in step one. Yes, Claire correctly added the equations and then substituted for x to solve for y. No, Claire should have multiplied the first equation by negative three instead of positive three in step one. No, Claire should have gotten Negative 2 y = negative 8 instead of 2 y = negative 8 in step four.
Answer:
I'm pretty sure it's "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."
Step-by-step explanation:
Answer:
A. "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."
Step-by-step explanation:
Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. y = negative 4. Step 5 Solution is (3, negative 4). Is Claire’s solution to the system of equations correct? Explain why or why not. No, Claire should have multiplied the second equation by negative two instead of positive two in step one. Yes, Claire correctly added the equations and then substituted for x to solve for y. No, Claire should have multiplied the first equation by negative three instead of positive three in step one. No, Claire should have gotten Negative 2 y = negative 8 instead of 2 y = negative 8 in step four.
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Sorry For The Smol Brain Question..............
Can someone help me with questions 2 and 3 pls?
1 cup = 1/2 pint, so where it says 4 cups we'll just read 2 pints.
1. In one show we serve 30 × 2 pints of small and 42 × 6 pints of regular.
Total = 30 × 2 + 42 × 6 = 60 + 252 = 312 pints
Answer: 312 pints
2. 8 pints per gallon, 2 gallons per container makes 16 pints per container.
312 pints / 16 pints per container = 19.5 containers
We round up since we need a whole number of containers.
Answer: 20 containers
We can't really see question 3.
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
Answer:
B is correct
You can double check it! :)
Hope this helps!
Tips:
Select a condition, check the 4 tables and eliminate 2 tables at once.
Then check the remaining 2 tables.
:)
Answer:
B. W
Step-by-step explanation:
College & university: 6
College & not university: 17
Not college & university: 28
Not College & not university: 9
-4b - 5 + 2b =10. Can I have some help solving this.
Answer:
-7.5
Step-by-step explanation:
Simplify
-4b - 5 + 2b = 10
-2b - 5 = 10
-2b = 15
b = -7.5
Answer:
-7.5
Step-by-step explanation:
-4*- 7.5 =30
2*-7.5= -15
30-5-15=10
