∆ABC has vertices at A(12, 8), B(4, 8), and C(4, 14). ∆XYZ has vertices at X(6, 6), Y(4, 12), and Z(10, 14). ∆MNO has vertices at M(4, 16), N(4, 8), and O(-2, 8). ∆JKL has vertices at J(14, -2), K(12, 2), and L(20, 4).

Answer:

a. The situation is discrete for the domain and continuous for the range.

b. i.  651 ≤ x ≤ 812. ii. $ 195.3 ≤ x ≤ $ 243.6.

Step-by-step explanation:

a. This is because we can only have a whole number of students which in turn leads to a whole number of candies. Also, since the cost of each candy box is $ 3/10 = $ 0.3, it is a real number. So, the total cost of candy will also be a real number. Thus, the situation is discrete for the domain and continuous for the range.

b. i. Let x be the number of students which also equals number of candies to be bought. Since there are 7 teams and between 93 and 116 students per team, the minimum number of students is 93 × 7 = 651 and the maximum number of students is 116 × 7 = 812. So, the domain, the number of candies is 651 ≤ x ≤ 812.

ii. The range of the function is the cost of the candies. Since the cost of the candies is $ 3 per box and there are 10 per box, each candy costs $ 3/10 = $ 0.3. So the total cost of candies C = cost per candy × number of students = $0.3x.

So, the range of the candies is the minimum and maximum values of students times $ 0.3. So, 651 × $ 0.3 ≤ x ≤ 812 × $ 0.3 = $ 195.3 ≤ x ≤ $ 243.6

Answer:

B

Step-by-step explanation:

An integer is a whole number (not including 0).  An integer's opposite can be found by adding a negative sign to the front of it.  A negative integer's opposite would be positive, while a positive integer's opposite would be negative.  

Answer:

Pretty sure it's C, A, B

Step-by-step explanation:

Answer:

336

Step-by-step explanation:

Using arithmetic operation, the number of oak trees on the land which is of identical habitat would be 336.

Using the relation:

5 acres = 42 trees - - - - - (1)

40 acres = t - - - - - (2)

Cross multiply

5t = 42 × 40

5t = 1680

t = 1680 / 5

t = 336 oak trees

Therefore, the Number of oak trees would be 336

Learn more : https://brainly.com/question/18581754

Answer:

52.5

Step-by-step explanation:

7.50 x 7

Answer:

a. 40÷2.89=m  b. 13

Step-by-step explanation:

Graph 1 neither

Graph 2 neither

Graph 3 perpendicular

Graph 4 parallel

Two lines of graph 1 , graph 2, graph 3 and graph 4 are neither , neither , perpendicular and parallel respectively.

Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.

Those lines that do not intersect each other at any point and always at the equal distance are parallel lines. And those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.

In the graph 1, both lines will cut each other. So the answer is 'Neither'.

In the graph 2, both lines are intersecting each other. So the answer is 'Neither'.

In the graph 3, at intersection point angle is 90° that means lines are perpendicular lines.

In the graph 4, both lines are at the equal distance and not intersecting each other at any point, if raised. So the lines are parallel lines.

Therefore, the answer of graph 1 , graph 2, graph 3 and graph 4 are neither , neither , perpendicular and parallel respectively.

To learn more about the perpendicular lines;

https://brainly.com/question/1202004

#SPJ2

Answer:

103,725

Step-by-step explanation:

82,980x.25+82,980

Answer:

h(x)=x^2-3x+5

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Gallons (volume) and feet (length) are not compatible units. I guess you mean cubic feet.

Apparently, 1 gal = 231 in³, so

32 gal/min

= (32 gal/min) • (231 in³/gal) • (1/12 ft/in)³ • (1/60 min/s)

= (32 • 231) / (12³ • 60) ft³/s

= 77/1080 ft³/s

≈ 0.0713 ft³/s

Answer:

140

Step-by-step explanation:

x = 7  ; y = -2

7(2x - 3y) = 7(2*7 - 3*[-2])

               = 7(14 + 6)

              = 7 * 20

               = 140

Step-by-step explanation:

this is what I believe the answer is and the work for it

9x+2x=11x

5+8=13

=

11x+4y+13

Answer:

11x + 4y + 13

Step-by-step explanation:

ORIGNIAL EXPRESSION: 9x + 4y + 5 +2x +8

Combine like terms.

11x + 4y + 13 is the final answer.

(If this helped you, please give brainliest!)

(I did this on I-Ready and got it correct.)

Answer:

The first one

Step-by-step explanation:

3x6=18

3.6x5=18

Answer:

15

Step-by-step explanation:

Substitute 10 for y

2(10) - 5

= 15

Answer:

 15

Step-by-step explanation:

2y-2

sinse y=10,

2(10)-5

20-5

15

Answer:

The answer is $22.74

Step-by-step explanation:

Answer:

6.67

66.7%

1.20

337.12

Step-by-step explanation:

95.25*(7/100)

42.12/63.18*100

20. 95*(5/100)

9632*(3.5/100)

Answer:

(c)

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0

Then the product of the roots = [tex]\frac{c}{a}[/tex]

(k - 2)x² - 6x + 12 = 0 ← is in standard form

with a = k - 2 and c = 12 , thus

[tex]\frac{12}{k-2}[/tex] = 3 ( multiply both sides by (k - 1) )

12 = 3(k - 2) = 3k - 6 ( add 6 to both sides )

18 = 3k ( divide both sides by 3 )

6 = k → (c)

Answer:

y=-3/2x+4

Step-by-step explanation:

line is negative, going 3 over 2. y intercept is 4.

Answer:

J = 7.5

Step-by-step explanation:

* This is going off of the estimate that the = sign means the equation is = to 0, as there is no value after the equal sign. *

First, start off by adding all of the like numbers.

11 + (-3) + 7 = 8 + 7 = 15

- 1/8 j - 3/8 j  = - 4/8 j.

Combining those two sums, we get:

15 - 4/8 j = 0

Subtract 15 from both sides,

-4/8 j = -15

Simplify -4/8 to -1/2, and then to -0.5

-0.5j = -15

Divide.

-15/-0.5 = 7.5

When you divide a negative number by another negative number, you get a positive. Therefore, the answer is J = 7.5

If the number after the = sign IS NOT 0, then when you get to 15 - 0.5j, just do the steps but with a number that isn't 0.

Answer:

A 23a^2 + 6/12a^2

Step-by-step explanation:

2a+1/3a + 5/4 -2a-3/6a^2

=4(2a+1)+15a/12a - 2a-3/6a^2

=a(8a+4+15a^2)-{2(2a-3)}/12a^2

=8a^2+4a+15a^2-4a+6/12a^2

=23a^2+6/12a^2

Answer:

= −67

Step-by-step explanation:

Answer:

the correct answer is -7 i had this on a test

Step-by-step explanation:

Answer/Step-by-step explanation:

WX: 4.47

[tex]4^{2} + 2^{2} = 20\\\sqrt{20} = 4.47[/tex]

XY: 3.61

[tex]3^{2} + 2^{2} = 13\\\sqrt{13} = 3.61[/tex]

YZ: 4.12

[tex]1^{2} + 4^{2} = 17\\\sqrt{17} =4.12[/tex]

WZ: 4.24

[tex]3^{2} + 3^{2} = 18 \\\sqrt{18} = 4.24[/tex]

The slopes of the lines are:

WX = 2

XY = -1.5

YZ = 4

WZ = -1

Given is a polygon on a coordinate plane with vertices =

W = (-5, 1)

X = (-3, 5)

Y = (-1, 2)

Z = (-2, -2)

We need to find the slopes of line =

WX, XY, YZ and WZ

To find the slopes of the lines connecting the vertices of the polygon, we can use the formula for the slope between two points (x₁, y₁) and (x₂, y₂):

slope = (y₂ - y₁) / (x₂ - x₁)

Let's calculate the slopes for each line:

1) Slope of line WX:

W = (-5, 1)

X = (-3, 5)

slope(WX) = (5 - 1) / (-3 - (-5))

= 4 / 2

= 2

So, the slope of line WX is 2.

2) Slope of line XY:

X = (-3, 5)

Y = (-1, 2)

slope(XY) = (2 - 5) / (-1 - (-3))

= -3 / 2

= -1.5

So, the slope of line XY is -1.5.

3) Slope of line YZ:

Y = (-1, 2)

Z = (-2, -2)

slope(YZ) = (-2 - 2) / (-2 - (-1))

= -4 / (-1)

= 4

So, the slope of line YZ is 4.

4) Slope of line WZ:

W = (-5, 1)

Z = (-2, -2)

slope(WZ) = (-2 - 1) / (-2 - (-5))

= -3 / 3

= -1

So, the slope of line WZ is -1.

Therefore, the slopes of the lines are:

WX = 2

XY = -1.5

YZ = 4

WZ = -1

Learn more about slope of a line click;

https://brainly.com/question/16180119

#SPJ2

Answer:

A

Step-by-step explanation:

Using the formula y=mx+b we see the b (the y intercept) is at -1. Only answer choice A and B have a y intercept at -1. Now we check which one of those will correspond with the negative slope. A is negative and B is positive --> A is the correct answer choice.

Answer:

the answer is 10 with a little 4 on the top right corner

Step-by-step explanation:

count your zeros

Answer:

x = 10

Step-by-step explanation:

To find the value of x that will make the area of both figures to be equal, set the expression for the area of one figure equal to the other.

Thus:

(x + 5)×12 = x × 18

Solve for x

12x + 60 = 18x

Subtract 12x from each side

12x + 60 - 12x = 18x - 12x

60 = 6x

Divide both sides by 6

60/6 = 6x/6

10 = x

x = 10

Answer:

Equation:  4(2) + 2x = 20

Step-by-step explanation:

Subtract 8 from both sides

2x = 12

Divide both sides by 2

x = 6

She did 6 hours of chores on Sunday

The equation will be 4(2) + 2x = 20. Hence, She did 6 hours of chores on Sunday.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.

Divina gets paid two dollars per hour to do her chores this weekend.

she did chores on both Saturday and Sunday.

she made a total of $20 Divina Worked for four hours on Saturday.

Let x equal hours spent doing chores on Sunday.

The equation will be

4(2) + 2x = 20

Subtract 8 from both sides

4(2) + 2x  - 8 = 20- 8

2x = 12

Divide both sides by 2

x = 6

Hence, She did 6 hours of chores on Sunday.

Learn more about solving equations here:

https://brainly.com/question/13072448

#SPJ2