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NARA [144]
1 year ago
10

Y = -x + 7 graph the linear equation and identify the x-intercept

Mathematics
1 answer:
makkiz [27]1 year ago
3 0
X int is 4. The slope is 4,3. This means that every time the x coordinate goes up 1 the y coordinate goes down bye 1. Hope this Helps!

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Question 15 of 46
kifflom [539]

The given polynomial function has 1 relative minimum and 1 relative maximum.

<h3>What are the relative minimum and relative maximum?</h3>
  • The relative minimum is the point on the graph where the y-coordinate has the minimum value.
  • The relative maximum is the point on the graph where the y-coordinate has the maximum value.
  • To determine the maximum and the minimum values of a function, the given function is derivated(since the maximum or minimum is obtained at slope = 0)

<h3>Calculation:</h3>

The given function is

f(x) = 2x³ - 2x² + 1

derivating the above function,

f'(x) = 6x² - 4x

At slope = 0, f'(x) = 0 (for maximum and minimum values)

⇒ 6x² - 4x = 0

⇒ 2x(3x - 2) = 0

2x = 0 or 3x - 2 = 0

∴ x = 0 or x = 2/3

Then the y-coordinates are calculated by substituting these x values in the given function,

when x = 0;

f(0) = 2(0)³ - 2(0)² + 1 = 1

So, the point is (0, 1)

when x = 2/3;

f(2/3) = 2(2/3)³ - 2(2/3)² + 1 = 19/27

So, the point is (2/3, 19/27)

Since y = 1 is the largest value, the point (0, 1) is the relative maximum for the given function.

So, y = 19/27 is the smallest value, the point (2/3, 19/27) is the relative minimum for the given function.

Thus, option A is correct.

Learn more about the relative minimum and maximum here:

brainly.com/question/9839310

#SPJ1

3 0
2 years ago
Two numbers multiply to be -7 and add to be -6. What are the numbers?<br><br> Example; 2,3
rewona [7]

<u>Given</u>:

Let the two numbers be x and y.

Two numbers multiply to be -7 and add to be -6.

This can be written in equation as,

xy=-7 and

x+y=-6

<u>Value of the two numbers:</u>

Let us determine the value of the two numbers using substitution method.

Substituting y=-6-x in the equation xy=-7, we get;

x(-6-x)=-7

Simplifying, we get;

       -6x-x^2=-7

   x^2+6x-7=0

(x+7)(x-1)=0

x=-7, 1

Thus, the values of x are x = 1,-7

When x = 1 , the equation x+y=-6 becomes y=-7

When x = -7, the equation x+y=-6 becomes y=1

Therefore, the two numbers are 1 and -7

3 0
3 years ago
Solve for www. Give an exact answer in simplified form. 53w+13 &lt; 56w + 16
ki77a [65]

The solution will be:  w>-1

<em><u>Explanation</u></em>

The given inequality is:   53w+13 < 56w + 16

First we will subtract 56w from both sides. So.....

53w+13-56w

Now we will subtract 13 from both sides. So.....

-3w

Then we need to divide both sides by -3. As here we are <u>dividing the inequality by a negative number, so we need to switch the inequality symbol</u>. So, we will get.......

\frac{-3w}{-3}>\frac{3}{-3}\\ \\ w>-1

Thus, the solution will be:  w>-1

5 0
3 years ago
What is the solution set of the quadratic inequality x²-5≤0
mart [117]

Answer:

X² - 5 = 0

x² = 5

square on both side

x = 5²

x = 25

May mine aswer might be wrong please retrify but as per my point of view it will be write

5 0
3 years ago
I’m so confused !! PLS HELP ME, it’s due in like 5 mins ASAP
Tresset [83]

Answer:

its g

Step-by-step explanation:

8 0
3 years ago
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