Given:
A = [ 1 -1 -2 3]
B = [ 1 5 8 -8 ]
C = [ 1 2 3 4 ]

Solve: AX + B = C

The relationship between x and y is given by Y=14*X;

Relationship between the number of tokens Erin uses, x, and the number of pitches thrown by the pitching machine, y. x (tokens) y (pitches) 1 14 2 28 3 42 7 98

by, observing the given data we say that;

x is proportional to y so, the general equation is given by

x ∝ y so, by removing the proportionality sign we get y=k*x;

now using given x and y we put in this equation to get the value of k; then by substituting the value of k in this equation we get our required equation.

so, putting x=1 and y=14 we get k=14;

and, putting x=2 and y=28 we get k=14;

and putting x=3 and y =42 we get k=14;

similarly, the last data satisfy the equation.

By putting k =14 in the equation we get, Y=14*X

thus, Y=14*X is our required answer.

also, we solve this problem by using the equation of line concept;

Learn more about the equation of line concept here: https://brainly.com/question/5717349

#SPJ4

Answer:

7k-7

Step-by-step explanation:

[tex]-k-(-8k+7) \\ \\ =-k+8k-7 \\ \\ =7k-7[/tex]

Answer: 7x10 to the 4th

Step-by-step explanation:

[tex] \sqrt{4x} = 3a - y \\ \sqrt{4} \times \sqrt{x} = 3a - y \\ 2 \sqrt{x} = 3a - y \\ \frac{2 \sqrt{x} }{2} = \frac{3a}{2} - \frac{y}{2} \\ \sqrt{x} = \frac{3a}{2} - \frac{y}{2} \\ ( { \sqrt{x} })^{2} = {( \frac{3a}{2} - \frac{y}{2} })^{2} \\ x = ( \frac{3a}{2} - \frac{y}{2} ) ^{2} [/tex]

ATTACHED IS THE SOLUTION

MATHEMATICALLY THIS CAN BE WRITTEN AS

Let that number =x

[tex] \frac{1}{2} (x) \times 7 - 3 \\ = \frac{x}{2} (7) - 3 = \\ = \frac{7x}{2} - 3[/tex]

Answer:

x = 55

Step-by-step explanation:

61+3×X=226

61+3x=226-61

3x=165

x= 165/3

x= 55

Answer:

2

Step-by-step explanation:

To find the slope, m, you use the equation:

[tex]m \: = \frac{y2 - y1}{x2 - x1} [/tex]

From our question, (x1 = 7, y1 = 5) ; ( x2 = 2, y2 = -5)

Substitute the values into the equation:

[tex]m \: = \frac{ - 5 - 5}{2 - 7} \\ = 2[/tex]

The slope, m is therefore 2

The slope of equation is -80 and the equation of a line is y=-80x+800.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, a large water tank holds 800 gallons of water.

From the table, we have (0, 800) and (1, 720)

Here, slope m=(720-800)/(1-0)

m= -80

Substitute m=-80 and (x, y)=(0, 800) in y=mx+c, we get

800=-80(0)+c

c=800

Substitute m=-80 and c=800 in y=mx+c, we get

y=-80x+800

Therefore, the slope of equation is -80 and the equation of a line is y=-80x+800.

To learn more about the the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ2

Answer:

first choice in the image.

numerator: 12

denominator: 30

Step-by-step explanation:

"Name the numerator and denominator of the fraction that represents the number of trucks that he has loaded out of the total needing to be loaded"

so numerator = "number of trucks that he has loaded"

and denominator = "total needing to be loaded"

Joaquin was asked to load 30 trucks today. So his/her total would be 30.

thus the denominator is 30.

Joaquin has finished loading 12 already, which means he/she has loaded 12. so, the numerator is 12.

Answer:

Step-by-step explanation:

That is (16/50) * 100

= 16 * 100/50

= 16 *2

= 32%.

Answer: 32%

Step-by-step explanation:

put it into a fraction, 16/50 then multiply by 2 to get 32/100 now you can turn that into a percent to get 32%

hope it's true.

yes

x-7-9=2-8x

-16-2 = -8x-x

x= 18/9

x= 2

Step-by-step explanation:

follow the steps and apply the rules of geometry

The table of values showing the relationship between the number of cakes the bakery makes and the number of bags of four the bakery uses is:

Cakes           |   3    6     9     12      15

Bags of flour|   1     2     3      4        5

A bakery made 9 cakes using 3 bags of flour.

We can introduce a relation between the number of cakes and the bags of flour in the form of a ratio.

Then, cakes : bags of flour = 9 : 3

We can simplify this ratio into 3:1.

So the ratio between the number of cakes and bags of flour = 3:1

We take values for number of bags of flour from 1 to 5 and found the corresponding values for number of cakes using the ratio 3:1.

For each value of number of bags of flour, we just needed to multiply 3 with it to get the number of cakes made.

So using this relationship between cakes made and the amount of flour used to make all their cakes, we can makes table with values:

Cakes           |   3    6     9     12      15

Bags of flour|   1     2     3      4        5

Learn more about ratio at https://brainly.com/question/2914376

#SPJ1

The area of the given triangle in the diagram is 11.83[tex]cm^{2}[/tex]

Given triangle ABC. Let AB=x, BC=y, CA=z

We use Heron's formula when asked to find the area of a triangle and the measures of the sides are given only. According to Heron's formula,

Area of a triangle[tex]=\sqrt{s(s-x)(s-y)(s-z)}[/tex]   where s is the semi-perimeter of the triangle given by [tex]s=\frac{x+y+z}{2}[/tex] and x,y,z are the measures of the three sides of the triangle

According to the diagram of the triangle AB=x=8 cm, BC=y=3 cm,

CA= z= 9 cm

∴Semi-perimeter  [tex]s=\frac{8+3+9}{2}=10 cm[/tex]

∴Area of the triangle[tex]=\sqrt{10(10-8)(10-3)(10-9)}=\sqrt{10*2*7*1}=2\sqrt{35}=11.83 cm^{2}[/tex]

Therefore the area of the triangle ABC is 11.83[tex]cm^{2}[/tex]

To know more about Heron's Formula:

brainly.com/question/22391198

#SPJ4

Answer:

18.34

Step-by-step explanation:

18.2

0.32 so

18.2+0.32=18.34

Answer:

won't that be concave up?

Answer

Step-by-step explanation:

When one dice is rolled, the total sample space = 6 When two dice is rolled, total sample space = 6*6=36 A) P(sum less than 9) = 1 - P(sum greater than or equal to 9) Sample outcomes for sum greater than or equal to 9 = {(3,6),(4,5),(5,4),(6,3),(4,6), (5,5),(6,4), (5,6), (6,5),(6,6)} P(sum greater than or equal to 9) = 10/36 = 5/18 or 0.2778 P(sum less than 9) = 1-5/18 = 13/18 or 0.7222 B)Sample outcomes for sum greater than or equal to 10 = {(4,6),(5,5),(6,4), (5,6),(6,5),(6,6)} P(sum greater than or equal to 10) = 6/36 = 1/6 or 0.1667 C) sample outcomes for event 3 on one die or both = {(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),(1,3),(2,3), (4,3),(5,3),(6,3)} P(3 on one die or both die) = 11/36 or 0.3056

Based on the distance that Pacman traveled for every 6 seconds, and the distance being proportional to time, the Constant of Proportionality is 3.

The Constant of Proportionality shows how the quantity of a variable increases of decreases as the quantity of another related variable increases or decreases as well.

In the distance traveled by Pacman, the constant of proportionality can be found by the formula:

= Distance traveled / Time traveled

= 18 feet / 6 seconds

= 3 feet per second

Find out more on the constant of proportionality at https://brainly.com/question/28413384

#SPJ1

Answer:

9/20

Step-by-step explanation:

3/5 is the same as 12/20, so 12 fish are guppies, now 3/4 is also 9/12, so 9 of the fish are red guppies, 9/20 is in the simplest form

Answer:

y-0 = [tex]\frac{4}{5}[/tex](x +2)

or

y - 4 = [tex]\frac{4}{5}[/tex](x -3)

These both mean the same thing.

Step-by-step explanation:

First, we have to find the slope.  The slope is the change in y over the change in x.

Our y's are 4 and 0 and your x's are 3 and -2

[tex]\frac{4-0}{3- - 2}[/tex]  = [tex]\frac{4-0}{3+2}[/tex] = [tex]\frac{4}{5}[/tex]

Now that we have the slope, we can use either point to write the eqation.

If we use point (-2,0)

The equation is

y - [tex]y_{1}[/tex] == m(x -[tex]x_{1}[/tex]

y - 0 = [tex]\frac{4}{5}[/tex] (x  - -2)

y - 0 = [tex]\frac{4}{5}[/tex](x +2)

If we use the point (3,4)

y-4 = [tex]\frac{4}{5}[/tex](x -3)

Thus, we have

Therefore Jenny's sister spent 9 days

the right choice is B

The rectangle MATH is translated by using the transformation rule P'(x, y) = (x - 7, y - 4) to create the rectangle M'A'T'H'.

In this problem we have the case of a rectangle, a geometric locus, that is translated both horizontally (7 units to the left) and vertically (4 units down). Vectorially speaking, a translation is represented by the following vector sum:

P'(x, y) = P(x, y) + T(x, y)     (1)

Where:

If we know that P(x, y) = (x, y) and T(x, y) = (- 7, - 4), then the transformation rule is derived below:

P'(x, y) = (x, y) + (- 7, - 4)

P'(x, y) = (x - 7, y - 4)

The rectangle MATH is translated by making use the transformation rule P'(x, y) = (x - 7, y - 4).

To learn more on transformation rules: https://brainly.com/question/28722842

#SPJ1

Both conclusion are correct and the second conclusion is RS = RQ + QS.

The midpoint is halfway between the two end points, Its x value is halfway between the two x values. Its y value is halfway between the two y values.

Given that,

Part 1, If B is between A and C then AB + BC = AC

Then, we need to find the conclusion in Part 2 if Q is between R and S.

The required conclusion can be find out by using the concept of deductive reasoning.

Deductive reasoning involves a pattern which is followed in one argument and by following the same pattern we reach to a conclusion for some other argument.

Now, If we see in Part 1 if B is between A and C then the length of line segment AC is equal to sum of its mid segments AB and BC

⇒ AB + BC = AC

Similarly, if Q is between R and S, then the length of line segment RS is equal to sum of its mid segments RQ and QS

⇒ RS = RQ + QS

Hence, The required Conclusion is RS = RQ + QS.

To learn more about midpoint of a line segment from the given link:

https://brainly.com/question/3047271

#SPJ9

Answer:120

Step-by-step explanation:

When it is flat it is 180 degree so

180=60+x

Minus 60 on both side

120=x