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3 years ago

Is (2,-3) a solution for the linear equation y = 4x - 5? Justify your answer

Mathematics

2 answers:

uysha [10]3 years ago

8 0

Answer:

(2,-3) is not a solution to the equation

Step-by-step explanation:

To determine if a point is a solution to the equation, we substitute the point into the equation. If it is true, then it is a solution, if it is false, then it is not.

y = 4x -5

-3 = 4(2) -5

-3 = 8-5

-3 = 3

This is false , so (2,-3) is not a solution to the equation

solong [7]3 years ago

5 0

<h3>Answer: No it is not a solution </h3>

Here is why:

The ordered pair (2,-3) means x = 2 and y = -3 pair up together

Let's plug these x and y values into the equation to get...

y = 4x - 5

-3 = 4*2 - 5 .... replace with 2, replace y with -3

-3 = 8 - 5

-3 = 3 .... we end up with a false equation

Since we get a false equation at the end, this means the original equation is false too. So y = 4x-5 is false when (x,y) = (2,-3) meaning that this point is not on the line. So this point is not a solution.

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Sarah the yearbook editor and Mrs Moore the yearbook sponser are reviewing costs to produce the yearbook. New yearbook design so

mario62 [17]

Answer:

I think the answer would be best supported with an equation. Then everything will fall into place

Step-by-step explanation:

We have a pre-set amount of $800. That will not change.

The key word here is each. It costs $15 to print <em>each</em> yearbook. Each depends on how many yearbooks are bought.

We will use y to represent the amount of yearbooks bought, and t to represent the total cost.

Equation:

800 + 15y = t

<u>Let's try an example:</u>

<em>The yearbook club finds that 50 people have decidedly bought yearbooks! They are so excited! But they have a problem. They don't know how much the whole thing is going to cost: the yearbook software cost AND the amount they must spend on printing each yearbook. What is the total cost?</em>

So we have an equation: 800 + 15y = t. Now we just substitute in the numbers and voila! We get our answer. Let's solve!

800 + 15y = t

800 + 15(50) = t (y is the amount of yearbooks bought. 50 people

800 + 750 = t bought yearbooks).

1150 = t (t is the total cost of everything).

Our total cost is $1150! That is how much it'll cost to make all the yearbooks, including the yearbook software.

I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

5 0

2 years ago

Add.<br> (2x + 5) + (3x - 7)<br> A) x - 2 <br> B) x + 2 <br> C) 5x - 2 <br> D) 5x + 2

MrRissso [65]

5x - 2. Just combine like terms, and distribute the + to the second term.

8 0

3 years ago

Read 2 more answers

Find the product: 9x(x3-4x2-3x)

Andre45 [30]

Answer:

9x^4-36x^3-27x^2

Step-by-step explanation:

assuming those are exponents

7 0

2 years ago

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a toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its heigh

sdas [7]

Answer:

t = 2.11 seconds

Step-by-step explanation:

A toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its height h at any given second t is modeled by the equation:

$h=-16t^2+32t+48$

Let us assume that we need to find the time by it to reach the ground. It means h = 0

$-16t^2+32t+48=0$

The above is a quadratic equation. The value of t is given by :

$t=\dfrac{-b\pm \sqrt{b^2-2ac} }{2a}\\\\t=\dfrac{-b+ \sqrt{b^2-2ac} }{2a},\dfrac{-b- \sqrt{b^2-2ac} }{2a}\\\\t=\dfrac{-32+ \sqrt{(32)^2-2\times (-16)(8)} }{2\times (-16)},\dfrac{-32-\sqrt{(32)^{2}-2\times(-16)(8)}}{2\times(-16)}\\\\t=-0.11\ s, 2.11\ s$