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3 years ago

Is (0,0) a solution to this system?

Mathematics

1 answer:

V125BC [204]3 years ago

5 0

Answer:

A. Yes, (0,0) satisfies both inequalities.

Step-by-step explanation:

The given inequalities are;

$y\ge x^2+x-4$

and

$y\:$

For (0,0) to be a solution to the given system of inequalities then it must satisfy both inequalities.

We substitute (0,0) into the system of inequalities to obtain;

$0\ge 0^2+0-4$ This implies that; $0\ge-4$ ; True

and

$0\:$ This implies that; $0\:$ : True

Since (0,0) satisfies the two systems, it is a solution.

The correct choice is A.

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Which set of numbers can represent the side lengths, in inches, of an acute triangle?

seropon [69]

Answer:

5 , 7 , 8 represent the side of acute angled triangle

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3 years ago

Quadrilateral DEFG - quadrilateral KLMN. Find the given side length.

Delvig [45]

Answer:

Step-by-step explanation:

By the diagram FG = MN.

3y + 3 = 5y - 25 Add 25 to both sides

3y + 3 + 25 = 5y Subtract 3y from both sides

28 = 5y - 3y Combine

28 = 2y Divide by 2

28/2 = 2y/2

y = 15

15 is not your answer. It is just the value of y.

3y + 3 = 3*15 + 3 = 45 + 3 = 48

3 0

3 years ago

I REALLY NEED HELP WHY WONT ANYONE HELP ME, I POSTED THIS SO MANY TIMES. PLEASE IT’S NOT HARD, I JUST DO NOT UNDERSTAND. PLEASE

atroni [7]

Answer:

I was unclear if you needed this solved in vertex or standard form, so I gave you both.

Vertex form: $(x - 4)^2 - 1$

Standard form: $x^2 - 8x + 15$

Step-by-step explanation:

This is a quadratic equation. In order to solve this problem, you will need these equations:

Vertex form: $a(x - h)^2 + k$

Standard form: $ax^2 + bx + c$

Starting with vertex form:

The vertex is (4, -1). When putting this into your equation, substitute the "x" value for h, and substitute the "y" value for k.

$a(x - 4)^2 - 1$

You can disregard the "a" for this particular problem because it is equal to 1.

Standard form:

Now that you have vertex form, you can expand it into standard form.

$(x-4)^2 - 1$

Use the FOIL method to multiply (x - 4)(x - 4).

This will equal $x^2 - 8x + 16$ .

Keep in mind that you still have a -1 from your original equation to take into account. Once you subtract 1, this will leave you with:

$x^2 - 8x + 15$

5 0

3 years ago

The formula for volume of a rectangular prism is V=Bh.

Amanda [17]

Answer:

216cm³

Step-by-step explanation:

Correct question is 'A prism has a length of 12 centimeters, height of 9 centimeters, and width of 2 centimeters. The volume of the prism is ___cm3.'

Volume'V' of a Rectangular Prism is given by

V = lwh

where,

Length 'l'= 12 cm

Height 'h'= 9 cm

Width 'w'= 2 cm

V = 12 x 9 x 2

V = 108 x 2

V = 216

V = 216cm³

6 0

4 years ago

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8x and y = 2x + 2 intersect are the so

OleMash [197]

The point of intersection of two given equations is (0.333, 2.667).

Given that, equation with two variables are y = 8x and y = 2x + 2.

The given equations will intersect at some point where y is the same for both equations.

When you replace y in y = 2x + 2 with y = 8x, we get 8x = 2x + 2.

So, the solution of 8x = 2x+2 will satisfy both equations.

Now, we need to find the solutions to take the integer values of x between -3 and 3.

That is,

x = -3 , then 8(-3) = 2(-3) +2⇒-24 = -6+2

⇒-12 = -4 False.

similarly, for x = -2

8(-2) = 2(-2)+2

⇒-16 = -2 False

For, x = -1

8(-1) = 2(-1)+2

⇒-8= 0 False

For, x = 0

8(0) = 2(0)+2

⇒0= 2 False

For, x = 1

8(1) = 2(1)+2

⇒8= 4 False

For, x = 2

8(2) = 2(2)+2

⇒16 = 6 False

For, x = 3

8(3) = 2(3)+2

⇒24 = 8 False

Therefore, there is no solution to 8x = 2x +2 for the integers values of x between -3 and 3.

The equations can be solved graphically by plotting the two given functions on a coordinate plane and identifying the point of intersection of the two graphs.

The point of intersection is the values of the variables which satisfy both equations at a particular point.

Hence, you can see the graph as shown below, the point of intersection is (0.333, 2.667).

To learn more about the graphical representation of equation visit:

brainly.com/question/12804458.

#SPJ1

3 0

2 years ago