Step-by-step explanation:
y=(-x^2)+12x-20
=(-(3)^2)+12(3)-20
=(-9)+36-20
=16-9=7
y=7
I hope it helped you
-11x - 72 = 84 + x
And I also need to do the check part
Answer:
Step-by-step explanation:
-11x - 72 = 84 + x
combine like terms on opposite side of =
(-11x )+ (-1x) = (84) + (72)
-12x = 156
divide both sides by -12 to isolate x
-12/-12 = 156/-12
x = -13
insert (-13) for x
(-11 * -13) -72 = 84 + (-13)
71 = 71
equality means its right
The difference of two numbers is 5 and the difference of the reciprocals is 1 /10 find the numbers. Use quadratic equations
Please answer it properly with steps.....
Answer:
Refer to the 2 attachments .
____
Hope it helps ⚜
Lois rented a car for $54.00 a week plus $0.15 for each mile the car is driven. What is the greatest number of miles Lois can drive the car in one week if she wishes to spend at most $140.00?
Answer:
2 weeks
Step-by-step explanation:
54.00 + 0.15 = 54.15
140/54.15 = about 2.5
Since she can only spend $140, she has to round down, so the answer is 2 weeks.
The following scatter plot represents the height of a basketball in seconds during a free throw shot.
(a) A student chose to model the data with the function, y = 0.9286x + 9.0571 . Why is a quadratic model more appropriate for this data? Explain your answer in complete sentences.
(b) Use a graphing calculator or other technology to write a function that better models the data in the scatter plot. Round each term to the nearest ten-thousandth.
The function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic. Then the quadratic equation is y = -1.25x² + 7.35x + 3.2.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The following scatter plot represents the height of a basketball in seconds during a free throw shot.
(a) A student chose to model the data with the function, y = 0.9286x + 9.0571 . Then the function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic.
(b) Write a function
We know that the quadratic equation is given as ax² + bx + c = y
This will pass through the points (1, 9.3), (2, 12.9), and (3, 14). Then we have
[tex]\rm a + b + c = 9.3 \ \ \ \ \ \ \ ...1\\\\4a + 2b + c = 12.9 \ \ \ ...2\\\\9a + 3b + c = 14 \ \ \ \ \ \ ...3[/tex]
On solving the equations 1, 2, and 3. Then we have
a = -1.25, b = 7.35, and c = 3.2
Then the quadratic equation will be
y = -1.25x² + 7.35x + 3.2
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is 63/20 equivalent to 4/9 divided by 5/7
Answer:
No
Step-by-step explanation:
4/9 divided by 5/7 is equal to 4/9 * 7/5 = 28/45. We can see that 63/20 is not equivalent to 28/45 as 28/45 is less than one and 63/20 is greater than one.
26 × (-5 + 3)= step by step
Hello ~
My name is lrxdscent, and I will be answering your question today! :D
Let's go by step-by-step ~
→ Answer :-[tex]\sf{= -52x}[/tex]
→ Explanation :-[tex]\sf{26x \: (-5 \: + \: 3)[/tex]
[tex]\sf{Add \: the \: numbers: \: -5 \: + \: 3 = -2}[/tex]
[tex]\sf{= 26x \: (-2)[/tex]
[tex]\sf{Multiply \: the \: numbers: \: 26 \: (-2) \: = \: -52}[/tex]
[tex]\sf{= -52x}[/tex]
Hope It Helps! ~
~ Learn With Lrxdscent ~
[tex]\underline{Answer :}[/tex]
ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ
Pedro is making 30 sundaes with mint, chocolate, and vanilla ice cream. 3 /5 of the sundaes are mint ice cream and 1 /2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla
Answer:
6
Step-by-step explanation:
3/5 of 30=18
18-30=12
half of 12 gets you 6
Solve this quadratic equation using the quadratic formula.
3x 2 + 5x + 1 = 0
Solution
x=\frac{-5 \pm \sqrt{13}}{6}
Alanna is painting a border along the top of a wall. the border consists of kite-shaped figures as shown. 3 kites are connected at 1 point. each kite measures 6 inches across and 12 inches long. the wall is 12 feet across. how many square inches of the wall will be covered with kites? 216 432 864 1,728
If each kite measures 6 inches across and 12 inches long. The square inches of the wall will be: 864 square inches.
Square inches of the wal
Diagonals= d1 and d2
First step
Area =(1/2)×(d1×d2)
Area=(1/2)×(6×12)
Area =36 in²
Second step
1 feet = 12 inches
12 feet = 12×12
12 feet = 144 in
Third step
Number of square inches=(144/6)×36
Number of square inches=24×36
Number of square inches= 864 square inches
Therefore the square inches of the wall will be: 864 square inches.
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Answer:
C
Step-by-step explanation:
Consider the diagram. Solve for m.
Answer:
m = 39°
Step-by-step explanation:
The useful relations here are ...
the sum of angles in a triangle is 180°inscribed angles subtending the same arc have the same measure.__
Angle ACB subtends the same arc (AB) as angle ADB, so has the same measure, 36°. Then the sum of angles in triangle ACB is ...
33° +36° +72° +m = 180°
m = 180° -141° = 39°
Find the surface area of the cylinder
(x-2y)^5 using pascal triangle
Step-by-step explanation:
I edit this on computer, because I have class later
what is the mean of 95 and 45 and 37 and 82 and 90 and 100 and 91 and 78 and 67 and 84 and 85 and 85 and 82 and 91 and 93 and 92 and 76 and 84 and 100 and 59 and 92 and 77 and 68 and 88
Answer:
The mean is 80.875 or 81 rounded
Step-by-step explanation:
To find the mean of any set of numbers, you need to get the values added up together and the #values (how much numbers there are).
Formula setup: amountaddedup/#numbers
✔ When we plug in the values in the formula, you will get 80.875.
The mean of the given data is 80.75.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given data is 95, 45, 37,82 ,90,100, 91 ,78 , 67 ,84 ,85 ,85 , 82 , 91 , 93 , 92,76, 84, 100, 59 , 92, 77 , 68 and 88
Mean = Sum of the observations/ Total number of observation.
Sum of the observations = 95+ 45+37+82+90+100+91+78+67+84+85+85 +82 +91+93+92+76+84+100+59+92+77+68+88
=1941
Total number of observation= 24
Mean = 1941/24
=80.875
Hence, the mean of the given data is 80.75.
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Of the marbles in a bag, 3 are yellow, 2 are red, and 2 are blue. Sandra will randomly choose one marble from the bag.The probability that Sandra will choose a blue marble at random is . It is that Sandra will randomly choose a blue marble.
Answer:
2/7 or 29%
Step-by-step explanation:
you add all the numbers than you put the blue marble on top and there it is.
Answer:
2/7
Step-by-step explanation:
Hello there.
1. First, you would add all the numbers up to get the total.
3 + 2 + 2 = 7 total marbles
2. Of those 7 marbles, 2 are blue. This would be 2/7 in fraction form.
Hence, there is a 2 in 7 chance that Sandra will choose a blue marble from the bag.
Hope this helps.
- Angelo
who can please do my math iready!!!! im level E pls i need help. i don’t understand it.
Answer:
sure
Step-by-step explanation:
-6/10-2/10 simply this equation
Answer: hii
The Answer is = -4/5
Step-by-step explanation:
Combine the fractions by finding a common denominator.
Hopefully this helps you
- Matthew
Read this statement and determine if it will result in data with variability.
"The number of people who shop at grocery stores each day."
Select one:
No, the data will not yield variability.
Yes, the data will yield variability.
The statement "the number of people who shop at grocery stores each day will yield variability
What is variability of data?This is the ability of a data to change. It determine the measure at which data points diverge that is far from each other.
For the number of people who shop at grocery stores each day." will yield variability since different set of people from different location to patronize the grocery shop.
The statement "the number of people who shop at grocery stores each day will yield variability
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Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Liam bought 2 hamburgers and 4 orders of fries for $13. How much would an order of 1 hamburger and 2 orders of fries cost?
The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
What is system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,
[tex]3x+2y=12.5[/tex]
Solve this equation as,
[tex]2y=12.5-3x\\y=\dfrac{12.5-3x}{2}[/tex] .....1
Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,
[tex]2x+4y=13[/tex]
Put the value of y in this equation and solve it further,
[tex]2x+4(\dfrac{12.5-3x}{2})=13\\2x+25-6x=13\\-4x=13-25\\-4x=12\\x=\dfrac{12}{4}\\x=3[/tex]
Put this value of x in equation 1,
[tex]y=\dfrac{12.5-3\times3}{2}\\y=\dfrac{3.5}{2}\\y=1.75[/tex]
The cost of an order of 1 hamburger and 2 orders of fries is,
[tex]C=3\times 1+2\times1.75\\C=3+3.5\\C=6.5[/tex]
Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
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A dance studio teaches students a contemporary dance form. it is observed that the probability of students from this studio becoming dance teachers is 0.69. an event management company wants to use this studio for a show. they decide to observe it for a year before making the deal. they enroll 120 students of their own in this studio and decide that once 75 of them get jobs as dance teachers, they will sign the contract with them. what is the probability that the event management company will sign the contract with the dance studio? a. 0.076 b. 0.053 c. 0.024 d. 0.924 e. 0.947
The probability that the event management company will sign the contract with the dance studio is; c. 0.024
How to solve binomial probability?The general formula for binomial Probability is;
P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾
From the question, we want to find;
P(X = 75)
where;
Sample size; n = 120 and probability of success; p = 0.69
Thus, we have;
P(X = 75) = ¹²⁰C₇₅ * 0.69⁷⁵ * (1 - 0.69)⁽¹²⁰ ⁻ ⁷⁵⁾
P(X = 75) = 0.024
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A rectangle is 4 times as long as it is wide. If the area of the rectangle is 1600cm^2, what are the dimensions?
Answer:
dimensions 20cm x80cm
Step-by-step explanation:
length is 4W of 1W,
LxW=area of 1600
4W x 1W = 1600cm2
divide both by 4 to isolate W
W=400cm2
square root of 400=20
replace W with 20 into equation 4Wx1W
4x20=80
1x20=20
80 is 4x the width of 20
f(x) = -7x - 19
g(x) = 0.75x + 4.25
x=
Answer:x=-14.75
Step-by-step explanation:
f(x) = -7x - 19=-19
g(x) = 0.75x + 4.25 =4.25
what is the area of this figure?
What is the value of y in the relative frequency table? round the answer to the nearest percent. 12% 27% 46% 52%
The relative frequency table is a two way table, and the value of y in the relative frequency table is 27%
How to determine the value of y?From the complete question, we have the following row
y 24% 51%
Express the row as an equation
y + 24% = 51%
Subtract 24% from both sides
y + 24% - 24%= 51% - 24%
Evaluate the difference
y = 27%
Hence, the value of y in the relative frequency table is 27%
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The distance formula will be a key component in this unit.
O True
O False
7x+42 what is x
please i need help
Answer:
x = 6
Step-by-step explanation:
7x = 42
Divide both sides by 7
x = 6
Answer: 49x I am pretty sure
Step-by-step explanation: you take 7 + 42= 49 then you put the x there
Then your answer should be correct please dont be mad if its not correct!!
Find the distance between the pair of points. Round
your answer to the nearest tenth, if
necessary. (4, 11), (- 9, 8)
Answer:
13. 3
Step-by-step explanation:
Given Points:
(x1= 4, y1 = 11), (x2= - 9, y2 = 8)
Distance Formula:
d² = (x2 -x1)² + (y2 -y1)²
Substitute and Calculate:
d² = ( -9 -4)² + ( 8 -11)²
d² = (-13)² + (-3)²
d = √(169+9)
d = √178
d = 13.34166406 round to the nearest tenth
d = 13. 3
7 * as much as the sum of1/3+ 4/5
Answer:
First you add 1/3 and 4/5
To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get: 5/15 +12/15
Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:
5+12/15 which is 17/15
That's the sum of 1/3 + 4/5.
Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:
In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:
17*7/15*1 and you get 119/5
Since 119 and 15 don't have a common factor, so they can't be simplified.
So, the answer is 119/15.
Ryan has 3 1/2 pints of milk. He uses 1 1/2 cups of milk to make Recipe A and 1 1/2
cups of milk to make Recipe B.
Answer: He will have ½ pints of milk left
Step-by-step explanation: 1½ + 1½ =3
3½-3=½
60% off $69.80. what is the sale price?
Answer:
Step-by-step explanation:
60 percent of $69.80 = $41.88
Answer:
27.92$
SolveConvert 60% into its decimal form.(0.6)
When finding the part of the whole number and percent, you must multiply.
[tex]0.6 * 69.80 = 41.88[/tex]
Now, to find the actual price, subtract 60% of 69.8(41.88) by 69.8
[tex]69.8 - 41.88 = 27.92\[/tex]
Therefore, the item is on sale for 27.92$
Questions?Ask in the comments.
Which equation below would be parallel to the line y= 2x+5 and pass through the point (3,1)