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9966 [12]
1 year ago
7

What is the solution to the inequality lx-4l=3

Mathematics
1 answer:
xxMikexx [17]1 year ago
8 0

Answer: x = 7, x = 1

Step-by-step explanation:

|x-4| = 3

we know either x-4 = 3 or x-4 = -3

x-4 + 4 = 3 + 4

x = 7

x - 4 + 4 = -3 + 4

x = 1

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Could you please help me with this
Fantom [35]

Answer:

x=56.89

Step-by-step explanation:

7 0
3 years ago
A home gardener estimates that 18 apple trees will produce an average yield of 80 apples per tree. But because of the size of th
aliina [53]

19 trees should be planted to maximize the total

<h3>How many trees should be planted to maximize the total</h3>

From the question, we have the following parameters:

Number of apples, x = 18

Yield, f(x) = 80 per tree

When the number of apple trees is increased (say by x).

We have:

Trees = 18 + x

The yield decreases by four apples per tree.

So, we have

Yield = 80 - 4x

So, the profit function is

P(x) = Apples * Yield

This gives

P(x) = (18 + x) *(80 - 4x)

Expand the bracket

P(x) = 1440 - 72x + 80x - 4x^2

Differentiate the function

P'(x) = 0 - 72 + 80 - 8x

Evaluate the like terms

P'(x) = 8 - 8x

Set P'(x) to 0

8 - 8x = 0

Divide through by 8

1 - x = 0

Solve for x

x = 1

Recall that:

Trees = 18 + x

So, we have

Trees = 18 + 1

Evaluate

Trees = 19

Hence, 19 trees should be planted to maximize the total

Read more about quadratic functions at:

brainly.com/question/12120831

#SPJ1

4 0
1 year ago
Is 36/121 a perfect square
Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

Yes

7 0
3 years ago
Read 2 more answers
Solve the following system. x squared / 25 + y squared / 100 = 1 x squared + y squared = 25
umka2103 [35]

Answer :

  • \frac{1}{100} (4 {x}^{2}  +  {y}^{2} )

  • \frac{dy}{dx}  =  \frac{ - x}{y}

8 0
3 years ago
write the equaion of a line in slope-intercept form if the slope is 1/5 and the y-intercept is -9 explain please
faust18 [17]

Answer:

y = \frac{1}{5} x - 9

Step-by-step explanation:

The slope-intercept form is y = mx + b, where:

m = slope

b = y-intercept.

The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope = \frac{rise}{run}.  So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, <em>b</em>). So, it becomes (0, -9).

Now that we have our slope (<em>m </em>) = 1/5, and the y-intercept (<em>b </em>) = -9, we can write the equation of the line as:

y = \frac{1}{5} x - 9

(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).  

Please mark my answers as the Brainliest if you find my explanations helpful :)

7 0
2 years ago
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