MATHEMATICS HIGH SCHOOL

Compare the table and equation. x y
4 12
5 15
6 18

Equation: y = 3x

Which representation has the greatest slope?

The equation has the greatest slope.
The table has the greatest slope.
The table and equation have the same slope.
Their slopes cannot be determined.

Answers

Answer 1
Answer:

Answer:

The table and equation have the same slope

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=(y2-y1)/(x2-x1)

Step 1

Find the slope of the table

we have

A(4,12)\ B(5,15)

Substitute the values

m=(15-12)/(5-4)

m=(3)/(1)=3

Step 2

Find the slope of the equation

we have

y=3x ------> the equation represent a linear direct variation

The slope is equal to m=3

therefore

The table and equation have the same slope
Answer 2
Answer:

Answer:

the table and equation have the same slope

Step-by-step explanation:

took the test and got a 100% :)

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Company B's product is preferred overwhelmingly to company A's product. True False

The equation of the line of best fit of a scatter plot is y = 6x − 9. What is the slope of the equation? –6 –9 9 6

Answers

Answer:

D. 6

Step-by-step explanation:

The line of best fit represents the relation between two variables, usually indicated as x and y, where "x" is the independent variable and "y" is the dependent variable.

The general form of equation of the line of fit y = mx + b, where "m" represents the slope and b represents the y-intercept.

The given line of best fit of a scatter plot is y = 6x - 9

Now compare the given equation with the general and find the slope.

When we comparing, we get m = 6 which is the slope of the given equation.

Therefore, answer is D. 6
6 is the answer because it is 6x therefore the gradient increases by 6 each time

CLAIRES BACKYARD IS IN THE SHAPE OF A RECTANGLE AND HAS A LENGTH OF 19.5 feet . It cost her $945.00 to fence in the yard. If fencing cost $15.00 per foot, what is the width of Claires backyard? Please explain how to solve it

Answers

You need to know the formula for the perimeter of a rectangle. We won't use it right away, but it is pertinent information.
P = 2 ( l + w )
Now, we know that the fencing costs $15.00 per foot, and that the length is 19.50 feet.
We first need to find the price of one "length" side of the fence.
To do this, multiply 19.50 by 15.00
19.50 x 15.00 = 292.5
Next, we look at the perimeter equation to see what we can plug in where.
P = 2 ( l + w )
We can put in the total price of the fencing for the yard as P, and the amount of one length side of the fence as l.
945.00 = 2 ( 292.5 + w )
And now, we simply solve for w.
945.00 ÷ 2 = ( 2 ( 292.5 + w ) ) ÷ 2
472.5 = 292.5 + w
472.5 - 292.5 = 292.5 + w - 292.5
w = 180
It costs $180 for one "width" side of the fence.
To find out how many feet that is, we do the opposite of what we did with the length. Instead of multiplying by $15.00, we divide by $15.00
$180.00 ÷ $15.00 = 12
The width of Claire's backyard is 12 feet.

Find the distance between the pair of parallel lines, y = -2x+1 & y = -2x+16.

Answers

Given \ the \ equations \ of \ two \ non-vertical \ parallel \ lines:\n\ny = mx+b_1\ny = mx+b_2\n\nthe \ distance \ between \ them \ can \ be \ expressed \ as : \n\nd= (|b_(1)-b_(2)|)/( √( m^2+1) )

y = -2x+1\ny = -2x+16 \n\n\nd= (|b_(1)-b_(2)|)/( √( m^2+1) ) =(| 1-16|)/( √( (-2)^2+1) ) =(| -15|)/( √( 4+1) ) =(15)/(√(5))\cdot (√(5))/(√(5))=\n \n\n=(15√(5))/(5)=3√(5)\approx 3\cdot 2.24 \approx 6.72

A survey found that 3 out of 100 people have red hair.On the basis of this survey, how many people in a group of 12,000 people are likely to have red hair?

A.4000

B.360

C.36

D.3

Answers

B is the answer because you cross multiple the two fractions.
(3)/(100) (x)/(12000)
3 *12,000=36,000
36,000/100=360

Answer:

THE ANSWER IS 360

please deal with it lol :)

good luck on the test

Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point of symmetry? True or false?

Answers

False.

Reflectional symmetry, as the name suggests, is a property a design has if it maintains all characteristics when it is reflected with respect to some axis. This means that you must choose a line, and make it act as a mirror.

For example, you can consider a square, and one of its diagonal. If you "flip" the figure with respect to said diagonal, the square will remain the same.

Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about a line of symmetry so the given statement is False.

What is the transformation of a graph?

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will bit that (x,y) → (y,x).

If we want to reflect any graph or curve then we need to take a reference axis or line.

If the line is a line of symmetry then the length, with and remaining gall characteristics will remain the same.

Thus, the reflection must be the point of the axis.

Hence "The preceding statement is False because reflective symmetry is the property that a design possesses if it retains all attributes when it is rotated about a line of symmetry".

To learn more about the transformation of graphs,

brainly.com/question/3099136

#SPJ5

Solve for x: 45>4x+9 53≤4x+9

Answers

Answer:

The system of inequalities 45 > 4x + 9 and 53 ≤ 4x + 9 doesn't have any solution, because the restrictions on x are contradictory (x can't be both less than 9 and greater than or equal to 11).

Step-by-step explanation:

These are a set of compound inequalities. Let's solve these equations step by step. The first inequality 45 > 4x + 9, we start to solve it by subtracting 9 from both sides of the inequality, which gives us 36 > 4x. Then, we divide each side by 4 to get x < 9.

The second inequality is 53 ≤ 4x + 9. We solve this by subtracting 9 from both sides to get 44 ≤ 4x. Then, we divide each side by 4 to find x ≥ 11.

However, these two results are contradictory (as x cannot be both less than 9 and greater than or equal to 11 simultaneously). So, there is no solution to this system of inequalities.
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