In Mr. Layden's class, three students
brought in their baseball card
collections. For their three
collections, the mode was 126 and
the range was 26. What are two
possibilities for the number of cards
in each student's collection?

Step-by-step explanation:

[tex]y = (x + 3) {(x - 4)}^{2} [/tex]

Answer:

a = -2, b = -3, c = 2

Step-by-step explanation:

We have the following three equations.

ab = 6

ac = -4

bc = -6

Multiply equation 2 and 3, we get

abc^2=24

Dividing it by the first equation, we get

c^2=4

c=2 or -2 (rejected since c is a positive integer)

We can then substitute c=2 into the equations, and find out that a = -2 and b = -3.

Answer:

its not a function  

Step-by-step explanation:

Replace x with a couple of numbers, solve for Y them mark those points on the graph and connect with a line.

See picture:

Answer:

No.

Step-by-step explanation:

If you substitute x = 2 and y = 3 into the equation, you get 3 = 2 which is not true.

Answer:

x = 18

Step-by-step explanation:

Since both right triangles are similar, therefore:

[tex] \frac{2x - 6}{20} = \frac{39}{x + 8} [/tex]

Cross multiply

[tex] (2x - 6)(x + 8) = 39*20 [/tex]

[tex] 2x(x + 8) -6(x + 8) = 780 [/tex]

[tex] 2x^2 + 16x - 6x - 48 = 780 [/tex]

[tex] 2x^2 + 10x - 48 = 780 [/tex]

Subtract 780 from both sides

[tex] 2x^2 + 10x - 48 - 780 = 0 [/tex]

[tex] 2x^2 + 10x - 828 = 0 [/tex]

[tex] 2x^2 + 46x - 36x - 828 = 0 [/tex]

[tex] 2x(x + 23) - 36(x + 23) = 0 [/tex]

[tex] (x + 23)(2x - 36) = 0 [/tex]

x + 23 = 0

x = -23

Or

2x - 36 = 0

2x = 36

x = 18

Answer:

-6.66666666667

Step-by-step explanation:

Answer:

[tex]=\frac{-20}{3}[/tex]

Step-by-step explanation:

[tex]\frac{-5}{1} -\frac{5}{3} =\frac{-20}{3}[/tex]

Answer: Both A, and C

Step-by-step explanation:

The answer to the first system of equations (2x+2y=16) would be

x=3 and y=5 ( 3x-y=4 )

Which means we have to find out which of the other equations has an x value of 3, and a y value of 5.

If A is 2x+2y=16, then x=3 and y=5

           6x-2y=8

If B is x+y=16, then x=5 and y=11

         3x-y=4

If C is 2x+2y=16, then x=3 and y=5

           6x-2y=8

If D is 6x+6y=48 , then x=-2 and y=10

            6x+2y=8

Both A and C are equal to the first system of equations, which means they are both correct answers.

Answer:

3

Step-by-step explanation:

3is tha answer of pair of shoes..

am i rght

Answer:

3

Step-by-step explanation:

3 is right answer because it is largest pair of number

Answer:

Standard Form           Equivalent Form            Extreme Values

y=x^2-6x+17                   (x-3)^2+8                        (3,8)

y=x^2+8x+21                  (x+4)^2+5                        (-4,5)

y=x^2-16x+60                 (x-8)^2-4                         (8,-4)

Step-by-step explanation:

1) Standard form:

y=x^2-6x+17

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2-6x+17\\y=x^2-2(x)(3)+(3)^2-(3)^2+17\\y=(x-3)^2-9+17\\y=(x-3)^2+8[/tex]

So, Equivalent form is: (x-3)^2+8

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate is: 2x-6

Now, put the derivate equal to zero: 2x-6 = 0

[tex]2x=6\\x=6/3 \\x=3[/tex]

Maximum value can be found by putting minimum value in the given function:

Put x = 3 and solve:

[tex](3)^2-6(3)+17\\9-18+17\\9-1\\=8\\[/tex]

So, the extreme values is: (3,8)

2) Standard form:

y=x^2+8x+21

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2+8x+21\\y=x^2+2(x)(4)+(4)^2-(4)^2+21\\y=(x+4)^2-16+21\\y=(x+4)^2+5[/tex]

So, Equivalent form is: (x+4)^2+5

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate of x^2+8x+21 is: 2x+8

Now, put the derivate equal to zero:

[tex]2x+8 = 0\\2x=-8\\x=-8/2 \\x=-4[/tex]

So, minimum value is: -4

Maximum value can be found by putting minimum value in the given function:

Put x = -4 and solve:

[tex]x^2+8x+21\\=(-4)^2+8(-4)+21\\=16-32+21\\=5[/tex]

So, Maximum value is: 5

So, the extreme values is: (-4,5)

3) Standard form:

y=x^2-16x+60

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2-16x+60\\y=x^2-2(x)(8)+(8)^2-(8)^2+60\\y=(x-8)^2-64+60\\y=(x-8)^2-4[/tex]

So, Equivalent form is: (x-8)^2-4

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate of x^2-16x+60 is: 2x-16

Now, put the derivate equal to zero:

[tex]2x-16 = 0\\2x=16\\x=16/2 \\x=8[/tex]

So, minimum value is: 8

Maximum value can be found by putting minimum value in the given function:

Put x = 8 and solve:

[tex]x^2-16x+60\\=(8)^2-16(8)+60\\=64-128+60\\=-4[/tex]

So, Maximum value is: -4

So, the extreme values is: (8,-4)

Answer:

the dude above me i right i got i right on the test in edmentum

Step-by-step explanation:

Answer:

m<ABC = 45

m<DBC = 34°

Step-by-step explanation:

Given:

m<ABD = 79°

m<ABC = (8x - 3)°

m<DBC = (5x + 4)°

Step 1: Generate an equation to find the value of x

m<ABC + m<DBC = m<ABD (angle addition postulate)

(8x - 3) + (5x + 4) = 79

Solve for x

8x - 3 + 5x + 4 = 79

13x + 1 = 79

Subtract 1 from both sides

13x + 1 - 1 = 79 - 1

13x = 78

Divide both sides by 13

x = 6

Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle

m<ABC = (8x - 3)°

m<ABC = 8(6) - 3 = 48 - 3 = 45°

m<DBC = (5x + 4)°

m<DBC = 5(6) + 4 = 30 + 4 = 34°

Step-by-step explanation:

!!

Answer:

(6x-1)(3x-2)

Step-by-step explanation:

18x²-15x+2 = 18x²-12x-3x+2= 6x(3x-2)-1(3x-2)=(6x-1)(3x-2)

Answer: -64y^3x^12

Step-by-step explanation:

Answer:

[tex]\frac{dy}{dx}[/tex] = 2x + 3

Step-by-step explanation:

The gradient function is the derivative [tex]\frac{dy}{dx}[/tex]

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] and [tex]\frac{d}{dx}[/tex] ( constant ) = 0

Given

y = x² + 3x + 1, then

[tex]\frac{dy}{dx}[/tex] = 2[tex]x^{2-1}[/tex] + 3[tex]x^{1-1}[/tex] + 0 = 2x + 3[tex]x^{0}[/tex] = 2x + 3 ← gradient function

Answer:

Hey!

Step-by-step explanation:

We need to know all of the info on nadia, can you report this question with all the info?

Answer:

B

Step-by-step explanation:

I don't remember but I just know how to do it

Answer:

A b or c

Step-by-step explanation:

Easy shahhshhshs free points hehe

Answer:

$200

Step-by-step explanation

24/0.12

=200

Sorry if its wrong :(

Answer:

yes because of a postulate or a theorem

Step-by-step explanation:

Answer:

Sunni Muslims accept all four leaders, including Abu Bakr and Ali, as the rightful successors of Muhammad. Shi'a Muslims, also called 'the party of Ali', believe that Muhammad chose Ali as his successor rather than having a bloodline successor.

Imamate is the Shi'a belief that all modern imams should be spiritual descendants of the Prophet Muhammad. Shi’a Muslims believe that imams protect the religion and help to guide Muslims along the right path. Today, Shi'a Muslim communities are led by imams, who are seen as having been chosen by God. Shi’a Muslims believe that imams are exemplary individuals who obey all teachings. Shi’a Muslims believe that imams are inspired by God, are without sin and are infallible, which means that they can interpret the teachings of the Qur’an without making any errors.

Today, Shi’a Muslim communities are led by imams, who are seen as having been chosen by God. Imams should be exemplary individuals who obey all teachings.

Origins of Imamate

After the Prophet Muhammad died, the Muslim community had to choose a successor. Abu Bakr, who was Muhammad’s father-in-law and closest friend, became the leader of the Sunni Muslim community.

Sunni Muslims, who make up around 90 per cent of the global Muslim population, agree that the rightful successor to Muhammad was Abu Bakr, Muhammad’s father-in-law. They recognise two further leaders who came after Abu Bakr. They then recognise a fourth leader, Ali (Muhammad’s cousin). Sunni Muslims accept all four leaders, including Abu Bakr and Ali, as the rightful successors of Muhammad.

Shi’a Muslims, also called ‘the party of Ali’, believe that Muhammad chose Ali as his successor rather than having a bloodline successor. After Ali’s death, Shi’a Muslims were led by twelve imams, whom they believe were spiritual successors to the Prophet Muhammad rather than having any family connection to him. This was the beginning of the Imamate. Shi’a Muslims make up around 10 per cent of the global Muslim population.

Hope this helps..!

Step-by-step explanation:

Answer:

This is fairly simple, the answer is 14.

Step-by-step explanation:

To reach this answer, you need to do order of operations. so First get rid of the 4 by doing inverse operation 18-4=j+4-4, which gets you to 14=J, thus your answer.

Answer:

B

Step-by-step explanation:

Its very simple try not to waste your points

Answer:

Step-by-step explanation:

Using pythagoras theorem

AB²+BD²=AD²

5²+BD²=10²

25+BD²=100

BD²=100-25

BD²=75

BD=√75

BD=8.66

For triangle BDC,

Using pythagoras theorem

x²=DC²+BD²

x²=4²+75

x²= 16+75

x²=91

x=9.54

Answer:

x = -8

<XCE = 30

Step-by-step explanation:

Remark

In any question like this, there are 8 possible answers. Of the 8, 4 are acute angles and 4 are obtuse. So any pair are either equal to each other, or they are supplementary. In this case the two given angles are equal.

We have a little bit of both in this question.

Solution

3x + 174 = - 7x + 94                  Alternate exterior angles. Add 7x to both sides.

3x+7x +174 = 94                       Combine

10x + 174 = 94                          Subtract 174 from both sides

10x = 94 - 174

10x = - 80                                 Divide by 10

x = - 80/10

x = - 8

===================

Check

3x + 174 = -24 + 174 = 150

-7x + 94 = -7*-8 + 94

-7x + 94 = 56 + 94 = 150

<XCE

<XCE = 180 - (3x + 174)

<XCE = 180 - (-24 + 174)

<XCE = 180 - (150)

<XCE = 30

Answer:

16/5

Step-by-step explanation:

-2+3=-7y+19

-2+7y+3=19

5y+3=19

5y=19-3

5y=16

y=16/5

Answer:

$2,472 ; 38.40 ; $3816

Step-by-step explanation:

Given the equation to represent Gloria's cost of painting :

T = $38.40c + $2,472.00 ;

T = total cost ; c = number of canvas' Gloria purchased

General form of a slope-intercept equation :

y = mx + c

m = gradient ; c = intercept

Cost of brushes and paint corresponds to the intercept of the equation : since she has already gotten them on ground.

Hence, Cost of brushes and paint is $2472

B.) cost of each canvas is denoted by the slope of the model = $38.40

C.) if number of painting made = 35

Number of canvas, c = 35

Total cost :

T = 38.40(35) + 2,472.00

Total cost = $3816