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4 years ago

Which table represents the same rebellion as the set {(-6,4) ,(-4,0) ,(-3,2) ,(-1,2)}

Mathematics

1 answer:

alina1380 [7]4 years ago

5 0

I think you meant to say "relation" instead of "rebellion"? I'm not sure. Anyways, all you're looking for is the table with the x values -6, -4, -3, -1 which pair up with the y values 4, 0, 2, 2 in that exact order.

Table B does this exactly. The first row represents x = -6, y = 4. The second row represents x = -4, y = 0. The third row represents x = -3, y = 2. The fourth row represents x = -1, y = 2.

Answer: Choice B

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A furniture shop refinishes chairs. Employees use two methods to refinish chairs. Method I takes 0.5 hours and the material cost

sveta [45]

Answer:

With Method I, they should plan to refinish 92 chairs and with Method II they should plan to refinish 70 chairs.

Step-by-step explanation:

This problem can be solved by means of a system of equations, that is to say a system that in this case will contain 2 linear equations with two variables: "x" and "y".

First you must define what your variables x and y are:

x: Chairs refinished by method I.
y: Chairs refinished by method II.

On the one hand, you know that between method I and method II they plan to work 151 hours. In method I, each chair takes 0.5 hours of work, this means that to obtain the total amount of time it takes to work in the "x" chairs by this method, 0.5 must be multiplied by the number of chairs. You can apply the same reasoning to calculate the total amount of time it takes to work on the "y" chairs by method II knowing that each chair takes 1.5 hours. Everything said above is represented by the equation:

 $\frac{1}{2} *x+\frac{3}{2} *y=151$ Equation (A)

In the equation the values 0.5 and 1.5 are represented in the form of a fraction (1/2 and 3/2 respectively) to be able to solve more in a way how the system of equations.

On the other hand, to state the other equation of the system, it must be taken into account that by method I the material costs $ 9 for each chair and by method II the material costs $ 7 for each chair. To determine the value of the material in each method, multiply the value of each chair by the amount of chairs refinished in each case. And the sum of the value of the materials of both methods must be $ 1318. This is represented by the equation:

9*x+7*y=1318 Equation (B)

Having both equations, you can solve the system. There are several methods to solve it, but one of the easiest and most widely used methods is substitution. This consists of isolating one of the variables from one of the equations and replacing it in the other equation.

In this case you can choose to isolate the variable x from equation B, resulting in:

$x=\frac{1318}{9} -\frac{7}{9} *y$ Equation (C)

It is always preferable to work in fractions for convenience to solve the calculations.

Now you replace the expression obtained from x in equation A, obtaining:

$\frac{1}{2} *(\frac{1318}{9} -\frac{7}{9} *y)+\frac{3}{2} =151$

Now you have an equation with a variable, "y", which can be solved, that is, you can get the value of "y". So "y"=70

Remembering that the variable "y" is the number of chairs refinished by method II, the value of "y" means that 70 chairs by that method were refinished.

To calculate the value of "x", you simply replace the value of "y" in either of the two equations (A) or (B) of the system and solve the equation. Or you can replace the value of "y" in equation (C): Either way the result must be the same: "x"=92

Remembering that the variable "x" is the number of chairs refinished by method I, the value of "x" means that 92 chairs by that method were refinished.

6 0

3 years ago

Which is a true statement about an exterior angle of a triangle

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

The exterior angles are out of the triangle at all times and it adds up to make 180 with anyone of the inside angle of the triangle.

The pair also rests on the same flat/straight line and that makes a pair.

Therefore we can say that it is formed by a linear pair/group with one of the interior/inside angles of the triangle.

So, the correct answer would be D.

8 0

4 years ago

A new bank customer with 3,000 wants to open a money market account the bank is offering a simple interest rate of 1.8% how much

Tcecarenko [31]

Answer:

$3540

Step-by-step explanation:

See explanation

Step-by-step explanation:

The Simple Interest will be calculated as:

= P × R × T

= $3000 × 1.8% × 10.

= $3000 × 0.018 × 10

= $540

The interest that the customer earn in 10 years is $540.

Then, the account balance after 10 years will be:

= Principal + Interest

= $3000 + $540

= $3540

Therefore, the account balance will be $3540

5 0

3 years ago

The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?

professor190 [17]

Answer:

A) No...

Step-by-step explanation:

We can check if this triangle is a right triangle by using the Pythagorean Theorem.

a² + b² = c²
where a and b are the legs of the right triangle, and c is the hypotenuse (longest side)

Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:

5² + 8² = 12²

Simplify.

25 + 64 = 144

89 = 144

We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.

Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.

This leaves us with answer choice A. 52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)

6 0

3 years ago

The diagram shows a circle with centre O. A lies on the circumference of the circle. A and B lie on a tangent to the circle. Giv

lara [203]

I’m sry i don’t know at all

8 0

3 years ago