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3 years ago

Which ordered pair is a solution of the equation?

Mathematics

2 answers:

iris [78.8K]3 years ago

5 0

The correct answer is C both (1,11) and (-1,-5) are solutions

Lana71 [14]3 years ago

3 0

y=8x+3
when x = 1 , y=8(1) +3 = 11
when x = -1 , y=8(-1) +3 = -5

answer
C
Both (1,11)( and (-1,-5)

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Determine what the solution is to the following system? Y=3/4x-1 & y=4/3x-1

vichka [17]

Answer:

(0, -1)

Step-by-step explanation:

There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"

First, since both equations are equal to Y, we can set them equal to each other and solve for X

$\frac{3 }{4} x - 1 = \frac{4}{3} x - 1$

To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.

$3x - 4 = 5 \frac{1}{3}x - 4$

Since we still have a fraction, we shall do it one more time. This time we multiply by 3

$9x - 12 = 6 x - 12$

Now, solve how you normally would.

9x = 6x

-6x

3x = 0

X = 0

Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!

$y = \frac{3}{4} (0) - 1$

Now solve which would lead to y = -1

You have your solution as

(X,Y)

(0,-1)

Hope this helps!

4 0

3 years ago

What is 54% into a decimal?

Novay_Z [31]

Answer:

0.54

Step-by-step explanation:

You take 54 and divide it by 100

54/100 =0.54

Hope this helps!!

7 0

2 years ago

Read 2 more answers

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

7nadin3 [17]

Answer:

Widgets should be sold by $38.88 to maximize the profit.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

$f(x) = ax^{2} + bx + c$

It's vertex is the point $(x_{v}, y_{v})$

In which

$x_{v} = -\frac{b}{2a}$

$y_{v} = -\frac{\Delta}{4a}$

Where

$\Delta = b^2-4ac$

If a<0, the vertex is a maximum point, that is, the maximum value happens at $x_{v}$ , and it's value is $y_{v}$ .

In this question:

The profit is given by:

$y = -9x^2 + 700x - 6005$

Which is a quadratic function with $a = -9, b = 700, c = -6005$

The maximum profit happens at the x of the vertex. Thus

$x_{v} = -\frac{b}{2a} = -\frac{700}{2(-9)} = 38.88$

Widgets should be sold by $38.88 to maximize the profit.

7 0

2 years ago

Math experts only please help me

katovenus [111]

The correct answer is A. 2cm
18 2cm
---- = ----
45 5cm

hope this helps

6 0

3 years ago

Lucia is wrapping packages that are in the shape of a triangular prism. The net of the prism is shown below: ( Help me answer th

solniwko [45]

Answer:

The total surface area of all 6 prisms is 6336 in^2.

Step-by-step explanation:

Let's find the surface area of ONE prism and then multiply that result by 6 to obtain the final answer.

One prism:

The area of the two 13 in by 26 in rectangular tabs is 2(13 in)(26 in), or 676 in^2 (subtotal);

The area of the two triangles of base 10 in and height 12 in is 2([1/2][10 in][12 in], or 120 in^2; and, finally,

The area of the 10 in by 26 in base is 260 in^2.

The total surface area of ONE prism is thus:

676 in^2 + 120 in^2 + 260 in^2, or 1056 in^2.

Now, because there are 6 of these prisms, multiply this last result by 6:

6(1056 in^2) = 6336 in^2.

The total surface area of all 6 prisms is 6336 in^2.

7 0

3 years ago