How many solutions exist for the given equation?
12x + 1 = 3(4x + 1) - 2
zero
one
two
infinitely many

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.

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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Answer:

Refer to the 2 attachments .

____

Hope it helps ⚜

Answer:

Step-by-step explanation:

60 percent of $69.80 = $41.88

Answer:

27.92$

Convert 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$

Ask in the comments.

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.

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.

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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Answer: hii

The Answer is = -4/5

Step-by-step explanation:

Combine the fractions by finding a common denominator.

Hopefully this helps you

- Matthew

The probability that the event management company will sign the contract with the dance studio is; c. 0.024

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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Answer: He will have ½ pints of milk left

Step-by-step explanation: 1½ + 1½ =3

3½-3=½

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

Answer:

  m = 39°

Step-by-step explanation:

The useful relations here are ...

__

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°

Hello ~

My name is lrxdscent, and I will be answering your question today! :D

Let's go by step-by-step ~

[tex]\sf{= -52x}[/tex]

[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

The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

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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The relative frequency table is a two way table, and the value of y in the relative frequency table is 27%

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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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

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

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.

Step-by-step explanation:

I edit this on computer, because I have class later

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.

Answer:

6

Step-by-step explanation:

3/5 of 30=18

18-30=12

half of 12 gets you 6

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!!

Answer:x=-14.75

Step-by-step explanation:

f(x) = -7x - 19=-19

g(x) = 0.75x + 4.25 =4.25

Answer:

sure

Step-by-step explanation:

If each kite measures 6 inches across and 12 inches long. The square inches of the wall will be:  864 square inches.

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:

The statement "the number of people who shop at grocery stores each day will yield variability

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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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

Solution

x=\frac{-5 \pm \sqrt{13}}{6}