Factor out the greatest common factor

Answer:

y =  -2*x² + 60*x

Step-by-step explanation:

The general form of a quadratic function is:

y = a*x² + b*x + c

We need to determine a  ;  b  ;  and c. For that we have three conditions therefore

Condition 1       at  x = 12 $ each T-shirts kimmie sells 36 units, then she gets

12* 36 = 432 $    or      y  =  432   and

432 = a(12)² + 12*b + c      or   432 = 144*a + 12*b + c

Second condition   selling at 13 $ each T-shirt  she sells 34 , then

13*34 = 442

442  = a(13)²  +  13*b  + c    or   442 = 169*a + 13*b + c

And the third condition

11*38  = 418

418 = a* ( 121)  + 11*b  + c         418  =  121*a  +  11*b  + c

We have a three equation system

432 =   144*a + 12*b + c         (1)

442  =   169*a + 13*b + c       (2)

418 =    121*a  +  11*b  + c       (3)

We need to solve it for a,  b  and  c

Subtracting (2) - (1)        10 = 25*a  +  b    and subtracting (2) - (3)

24 = 48*a  + 2*b

Then       b  =  10 -  25*a         and     24  =  48*a + 2*( 10 - 25*a )

24  =  48*a +  20  - 50*a

24 -  20  =   -2*a

4  =  - 2*a    

a  = - 2      and   b =  10 - 25*( -2)     b = 60

Finally  c   is:    432 =   144*a + 12*b + c  

432  =  144* ( -2) + 12*60  + c

432  = -  288  +  720  +  c

432  = 432  + c

c =  0

The quadratic function is:

y =  -2*x² + 60*x

There are 17 goats and 6 chickens

Explaining: (1)  C + G = 23

As for legs:

(2)  2C + 4G = 80 (each C has 2 legs and each G has 4 legs)

Solving equation (1):  C = 23 - G

Substituting in equation (2)

2(23 - G) + 4G = 80

2G = 34

G = 17

C = 6

Answer:

None or 12 depending on what the question is. See explanation below.

Step-by-step explanation:

If the number is 1248:

A single number cannot have a GCF. The GCF has be for at least two numbers.

If the numbers are 12 and 48, then the GCF can be calculated.

Since 12 is a factor of 48, then the GCF of 12 and 48 is 12.

In general, to calculate the GCF do this:

To calculate it, find the prime factors of 12 and 48.

12 = 2^2 * 3

48 = 2^4 * 3

GCF is the product of common factors with lower exponent.

GCF = 2^2 * 3 = 12

Answer:

Yes.  There is a bias in the selected sample.

Step-by-step explanation:

Population of interest = undergraduate students at the university

Respondents to email requests = 2,000 students

Sample size = 100 students

Sample is based on the 2,000 respondents.

Therefore, sample is biased.

b) A sampling method is said to be biased if it systematically favors a group.  By making some members of the student population systematically more likely to be selected in a sample than others, there is an occurrence of sampling bias.  Usually, findings from biased samples can only be generalized to populations that share characteristics with the sample and to the entire population of interest.

Answer:

PrEaCh

Step-by-step explanation:

Answer:

so true

Step-by-step explanation:

Answer:

1/3 pound.

Step-by-step explanation:

2/9 pound +1/9 pound = (2+1)/9 pound.

This can be simplified to 3/9 pound, or 1/3 pound.

Let me know if this helps!

Answer:

33.333 percent

Step-by-step explanation:

Answer:

Shown in picture UnU

Answer:

$77

Step-by-step explanation:

10% of 70$ is $7

$70+$7=$77

Answer:

What is PR3 jG1 , the conditional probability that 3 is rolled given that the roll is greater than 1

                            =0,02

Step-by-step explanation:

Sample Space for rolling a die, S(1,2,3,4,5,6]

Since all the outcomes are equally P( rolling any numebre)=1/6

G1=(2,3,4,5,6)

Hence P(G1) =P (R2)+P (R3)+P (R4)+P (R5)+P (R6)

Hence P(G1) =5/6

and R3= [3]

Hence G1  ∩ R3 =  [3]  =  R3

Hence P(G1  ∩ R3) =P( R3) =1/6

What is PR3 jG1 , the conditional probability that 3 is rolled given that the roll is greater than 1

P(G1  ∩ R3) / P(G1) = (1/6)/ (5/6=

                             =0,02

Answer:

yes

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: 348 miles

Step-by-step explanation:

The car will travel 174 miles in 3 hours, if you multiply 174 x 2, the car will travel 348 miles in 6 hours.

Answer:

both x angles are equal to 40 degrees

Answer:

x would equal 40

Step-by-step explanation:

a line is 180, the angle inside the triangle is 100 and x is on both sides that means x would equal 40 because there is 2 x's and 100 is already a number and 180 is a line.

180 = x + x + 100

x + x + 100 - 100 = 180 - 100

x + x = 80

2x = 80

2 ÷ 2x = 80 ÷ 2

x = 40

Answer:

98

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

Answer of this qn is. option D hope it helps

enough

lololololololololololol

Answer:

6.25 cups

Step-by-step explanation:

Answer:

3.8

Step-by-step explanation:

6 - 2 1/5 = 6 - 11/5

= 6-2.2

=3.8

The difference between the 6 and 2 1/5 will be 3.8

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).  When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction. A proper fraction is also called fraction which is less than 1. A mixed fraction contains a sum of whole number and a proper fraction.

So, WE need to find the difference between the 6 and [tex]2 \frac{1}{5}[/tex].​

First we need to convert the mixed fraction into simple fraction.

[tex]2 \frac{1}{5}[/tex] = 11/5

Therefore, the difference between them will be;

6 -  [tex]2 \frac{1}{5}[/tex]  = 6 - 11/5

= 6 - 2.2

= 3.8

Hence, the difference between the 6 and [tex]2 \frac{1}{5}[/tex] will be 3.8

Learn more about fraction;

https://brainly.com/question/729654

#SPJ2

Answer:

9

Step-by-step explanation:

9 +5 = 14

14 +9 = 23

Answer:

A. f(-1) = -3, f(7) = 13

Step-by-step explanation:

✔️When input (n) = -1:

f(n) = 2n - 1

f(-1) = 2(-1) - 1

f(-1) = -2 - 1 = -3

✔️When input (n) = 7:

f(n) = 2n - 1

f(7) = 2(7) - 1

f(-1) = 14 - 1 = 13

Answer:

2(x+2)

Step-by-step explanation:

Hope it helps you

Answer:

y=7/5x-3 is the slope intercept form

Answer: Mark me brainliest..

Step-by-step explanation: and imma put the answer inside the comments if you do so. youve got nothing to lose! :D

Answer:

The elevation lies between -140 and -141.

Step-by-step explanation:

The elevation lies between -140 and -141.

Answer:

BC = 17.2.

Step-by-step explanation:

Since CAB = 90º, this is a right triangle.

The triangle format is given below:

C

A           B

We have that AB = 8.6, and angle B measures 60º.

Length of BC:

BC is the hypotenyse.

Side AB is adjacent to angle B = 60º.

In a right triangle, angle [tex]\alpha[/tex], it's adjacent side with length s and the hypotenuse h are related by the cosine of the angle, that is:

[tex]\cos{\alpha} = \frac{s}{h}[/tex]

In this question, we have an angle of 60º, with has cosine 0.5. We also have that side AB = s = 8.6, and the hypotenuse h is side BC. So

[tex]\cos{\alpha} = \frac{s}{h}[/tex]

[tex]0.5 = \frac{8.6}{h}[/tex]

[tex]0.5h = 8.6[/tex]

[tex]h = \frac{8.6}{0.5}[/tex]

[tex]h = 17.2[/tex]

BC = 17.2.

Answer:

i'd say the answer is b. i hope this helps

Answer:

B,C,D

Step-by-step explanation:

Answer:4) All are solutions

Answer:

point

Step-by-step explanation:

Answer: y= 8/3x + 6

Step-by-step explanation:

Answer:

2/3 is the scale factor of the sequence