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Answer:

The quadratic function is:  [tex](x-2)(x-12)=0[/tex]    and can be written as: [tex]x^2-14x+24=0[/tex]

Step-by-step explanation:

A quadratic function can typically be written in multiple forms, among which includes: (x-a)*(x-b)=0 where a, b can be any number

This quadratic function is solved for a and b, which represents the zeroes (or can be called roots) of the equation.

Given that the zeroes are already given, all that's need to write the quadratic function is to substitute a and b with the given zeroes:

Note: It doesn't matter which zeroes are substituted for a and b

                (x-a)*(x-b)=0

               (x-2)*(x-12)=0

Now, we can leave it in this form or expand the equation (often called the FOIL method):

               (x-2)*(x-12)=0                        Multiply each term with the other terms

               [tex]x^2-2x-12x+24=0[/tex]         Simplify by combining like terms

               [tex]x^2-14x+24=0[/tex]

Thus, the quadratic function for zeroes 12 and 2 is: [tex]x^2-14x+24=0[/tex]

Answer:

a. 20

b. 6

c. y=2/9x

Step-by-step explanation:

Answer:

D. z=6

Step-by-step explanation:

Answer:

2 1/2

Step-by-step explanation:

The heaviest bag weighs 4 pounds, and the lightest bag weighs 1 1/2.

4 can be converted to 8/2 and 1 1/2 can be converted to 3/2.

8/2-3/2=5/2.

5/2 converts to 2 and 1/2 or 2.5

The heaviest bags weigh than one of the lightest bags by 2.5 pounds.

A number expressed as a quotient, in which a numerator is divided by a denominator.

The heaviest bag weighs 4 pounds,

and the lightest one weighs 3/2 pounds

The difference between the heaviest and lightest one is:

= 4-3/2

= 8/2-3/2

=5/2 pounds

= 2.5 pounds

Learn more about fractions here:

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Answer:

Step-by-step explanation:

Answer:

ABC= 60 XYZ=540

Step-by-step explanation:

The area of a triangle is 1/2*base*height so for ABC we need to find the height first. To do this we use pythag theorem, and create the equation 13^2=5^2+height^2 rearranging this we can figure out that sqrt(height)=13^2-5^2. For the base we do 2*5 since there are two congruent line segments both equal to 5. Using this we can do 1/2*12*10=area of ABC

For XYZ we can do 1/2*30*36=area of XYZ, we can do 2*15 since there are 2 congruent 15 length line segments at the base.

Answer:

y= 2x + 4

Step-by-step explanation:

Answer 50% or .5 there are 2 things

Answer:

-9x=12/-9

Step-by-step explanation:

-4(x+6)=5x+12

-4x-24=5x+12

-9x=12

x=12/-9

Answer:

x=-4

Step-by-step explanation:

-4(x+6)=5x+12

-4x-24=5x+12

-24-12=5x+4x

9x=-36

x=-36/9=-4

Answer:

5/9

Step-by-step explanation:

Let the denominator be k and thus numerator be 4 less than k or k - 4.

Fraction = (k - 4)/k

If 5 is added to both:

=> (k-4 + 5)/(k + 5) = 5/7

=> 7(k + 1) = 5(k + 5)

=> 7k + 7 = 5k + 25

=> 2k = 18

=> k = 9

Thus,

Fraction is (k-4)/k = (9-4)/9 = 5/9

its a no

...............................................................

Answer:

x=-1

Step-by-step explanation:

54x+64=49x+59

subtract 64

54x=49x-5

subtract 49x

5x=-5

divide by 5

x=-1

Answer:

A is correct

Step-by-step explanation:

A has no solution because since the slopes are the same, setting both equations equal to each other will cancel out the slopes and result in 8=16, meaning no solution will make both sides equal to each other.

B does have a solution because of different slopes

C does have a solution because of different slopes

D does have a solution because of different slopes

Step-by-step explanation:

1)Every whole number is a rational number.√

2)There are some fraction that are not rational number.√

3)every negative rational number lies to the right of zero on the number line.×

4) zero is not a rational number.×

5)every interger is a rational number.√

Step-by-step explanation:

The area of circle with radius 4cm is,

area of circle = π r *r = 3.14 * 4 * 4

= approx 50.27

The area of circle with radius 2cm is,

area of circle = π * r * r = 3.14 * 2 * 2

= approx 12.57

The circles are concentric means they have a common Centre, so,

Area between the two circles = area of bigger circle - area of smaller circle

= 50.27 - 12.57

= 37. 7 sq. cm

Answer:

He stills owes 9 dollars.

Step-by-step explanation:

-12+-15= -27. -27- 18= 9 .

Answer:

[tex] x = - 3 \frac{4}{15}[/tex]

Step-by-step explanation:

[tex]2x - \frac{1}{3} + 3 = x - \frac{3}{5} [/tex]

[tex] = > 2x - \frac{ 1 +9 }{3} = x - \frac{3}{5} [/tex]

[tex] = > 2x + \frac{8}{3} = x - \frac{3}{5} [/tex]

[tex] = > 2x - x = - \frac{3}{5} - \frac{8}{3} [/tex]

[tex] = > x = - \frac{9 - 40}{15} [/tex]

[tex] = > x = - \frac{49}{15} [/tex]

[tex] = > x = - 3 \frac{4}{15} (ans)[/tex]

Answer:

x = - [tex]\frac{49}{15}[/tex]

Step-by-step explanation:

Given

2x - [tex]\frac{1}{3}[/tex] + 3 = x - [tex]\frac{3}{5}[/tex]

Multiply through by 15 ( the LCM of 3 and 5 ) to clear the fractions

30x - 5 + 45 = 15x - 9 , that is

30x + 40 = 15x - 9 ( subtract 15x from both sides )

15x + 40 = - 9 ( subtract 40 from both sides )

15x = - 49 ( divide both sides by 15 )

x = - [tex]\frac{49}{15}[/tex]

Answer:

Steve needs to sell 34 items.

Step-by-step explanation:

S= 5x+50

220=5x+50

-50       -50

170= 5x

/5       /5

34 =  x

Check:

220= 5(34)+50

220=170+50

220=220

Answer:

x=4

Step-by-step explanation:

4x-5+x=3+2x+4

5x-5=7+2x

5x-2x=7+5

3x=12

x=4

Answer:

C

Step-by-step explanation:

A function means that a graph cannot have repeating x values, so to test if something is a function we do the horizontal line test. You simply draw a vertical line and if the graph touches it twice it is not a function.

Answer:

- 8.25

Explanation:

let the unknown number be represented by x.

54 + 4x = 21

(subtract 54 from both sides)

4x = - 33

(divide both sides by 4)

x = - 8.25

i hope this helps! :D

Answer:

14/48 Feet

Step-by-step explanation:

First, you multiply 7/8x2/3 which equals 14/24, which makes the base of the prisim 14/24 feet. Then you need to multiply 14/24 ( the base) by 1/2 (the height). 14/24x1/2= 14/48.

The final answer is 14/48.

Answer:

vw equals 48 or w equals 24 and v equals 24

Step-by-step explanation:

Answer:

width = 9 cm

Step-by-step explanation:

the area of a 12cm square is 144

16w = 144

x = 9

Answer:

88

Step-by-step explanation:

11*4 = 44

4*4 = 16

11-4 = 7

7*4 = 28

44+16+28 = 88

Answer:

Attached file

Step-by-step explanation:

The equation for continuous compounding is [tex]A=A_oe^k^t[/tex]

where [tex]A[/tex] is the final amount, [tex]A_o=[/tex] the initial amount, [tex]k=[/tex] the interest rate, and [tex]t =[/tex] how much time is affecting it.

The equation for compound interest is [tex]A=A_o(1+\frac{r}{n} )^n^t[/tex]

where [tex]A=[/tex] the final amount, [tex]A_o=[/tex] the initial amount, [tex]r=[/tex] the interest rate, [tex]n =[/tex] the number of times the interest is applied per period (usually per year), [tex]t =[/tex] how many time periods elapsed (usually how many years the interest is applied).

Therefore you must set up all the equations with their respective units. If something is decaying, it will have a negative rate or a rate < 1. If something is growing, it will have a positive rate or a rate > 1.

There is the positive association shown in the scatter plot and the television number 3 is cost-effective and rated highly by customers.

Scatter plot is the plot of graph in which the values of two variables plotted using their coordinates on the graph.

The average rate of change is the ratio of change in y values to the change in x values of the scatter plot.

The cost and customer rating of 13 televisions is shown on the scatter plot. The televisions are rated on a scale of 0 to 10.

Here, the price and rating is increasing together in the scatter plot. Thus, there is a positive association.

Here, the television number 3 has the high rate with low price. This affect the appropriateness of using a linear regression model to fit all the data.

The television number 3 which is rated at 10 but the cost of it has just $221. Thus, the television number 3 is cost-effective and rated highly by customers.

Thus, there is the positive association shown in the scatter plot and the television number 3 is cost-effective and rated highly by customers.

Learn more about the scatter plot here;

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Answer:

Answer above is correct

Step-by-step explanation:

Just be careful not to put it word for word especially with the values as to not get caught by the plagiarism system :D

Answer:

division

Step-by-step explanation:

you need to get the x by its self because right now x is being multiplied by 3 tou divide it out

Answer:

Division

Step-by-step explanation:

you will divide both sides by 3..“the number that is disturbing x”