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Neporo4naja [7]
3 years ago
15

Lie is solving the quadratic equation by completing the square.

Mathematics
2 answers:
wel3 years ago
8 0

we have

3x^{2} + 18x - 8 = 0

Step 1

Move the constants to the right side

3x^{2} + 18x = 8

Step 2

Factor 3 out of the variable terms

3(x^{2} + 6x) = 8

Step 3

Add 27 to both sides of the equation

3(x^{2} + 6x+9) = 8+27

3(x^{2} + 6x+9) = 35

Step 4

Write the polynomial as a binomial squared

3(x+3)^{2} = 35

therefore

the answer is

Factor 3 out of the variable terms.

devlian [24]3 years ago
3 0

Answer:

the answer is factor 3 out the variable terms

Step-by-step explanation:

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PLEASE HELP! Neil has been running a tutoring business since 2005. He charges a monthly fee for weekly tutoring sessions and a p
Alina [70]

Answer:

Step-by-step explanation:

A. Rate of change (or slope) is $50

The initial tutoring fee starts out at $1200 in 2005

How do you know? Each year the cost goes up $50

 2005 = $1200

    2006 = $1250

    2007 = $1300

    2008 = $1350

B.  y=50x+b

3 0
3 years ago
The table shows the number of cups of water required when cooking different amounts of rice.
Harman [31]

<u>Answer-</u>

<em>The amount of water is the dependent value.</em>

<u>Solution-</u>

Plotting the graph from the given data points, it comes out to be a straight line with positive slope. So, both the variables i.e amount of rice and amount of water are in a linear relationship. They are directly proportional to each other.

As the amount of rice increases, the water needed to cook the rice also increases. Plotting a graph taking amount of rice in abscissa and amount of water in ordinate, a straight line was obtained.

Here, amount of rice is the independent variable and amount of water is dependent variable as it depends on the amount of rice.

3 0
3 years ago
Task 4 Task 다. Given: m​
Mariulka [41]

Answer:

where the choices?

Step-by-step explanation:

7 0
3 years ago
A function is represented by the graph.
Morgarella [4.7K]

Answer:

see the explanation

Step-by-step explanation:

we know that

The y-intercept is the value of the function y when the value of x is equal to zero

Part 1) we have

y=5x-6

For x=0

substitute in the linear equation and solve for y

y=5(0)-6

y=-6

therefore

The y-intercept is the point (0,-6)

Part 2) Find the  y-intercept of the function  represented in the graph

Looking at the graph

For x=0

Find the value of y in the graph

The value of y is equal to y=1

therefore

The y-intercept is the point (0,1)

6 0
3 years ago
How much fencing does Farmer Gump need?
Agata [3.3K]

For the first field, he will need 40 m for the fence, this will cost £640 and he can have 10 sheep. For the second field, he will need 60 m for the fence, this will cost  £960 and he can have 12 sheep.

<h3>What does this problem require?</h3>

This problem requires you to calculate the perimeter and area of each field and based on this information you can find the total of the fence the farmer requires, the cost, and the number of sheep.

<h3>How to calculate the perimeter?</h3>

You can calculate the perimeter by adding all the sides.

  • Field 1: 10m + 10m + 10m + 10m = 40 m
  • Field 2: 25m + 5m + 25m + 5m = 60 m

<h3>How to calculate the area?</h3>

To calculate the area, multiply the height by the width.

  • Field 1: 10 x 10 = 100m2
  • Field 2: 25 x 5 = 125m2

<h3>How much fencing does the farmer need?</h3>

The fencing needed is equal to the perimeter.

  • Field 1: 40 m of fencing
  • Field 2: 60 m of fencing

<h3>How much will it cost?</h3>

Multiply the number of meters needed by the price per meter ( £16 per meter).

  • Field 1: 40m x  £16 per meter = £640
  • Field 2: 60 m x £16 per meter = £960

<h3>How many sheep can there be in each field?</h3>

To calculate this divide the area into the space required by each sheep (10m2).

  • Field 1: 100m2 / 10m2 = 10 sheep
  • Field 2: 125m2 /10m2 = 12 sheep

Note: This question is incomplete; here is the missing information:

Farmer Gump has two problems. His first problem is to work out how much fencing he needs to buy for his fields so his sheep don’t escape. His second problem is to work out how many sheep each field can hold—each sheep needs a minimum of 10m² of grass!

Sheep cost £65 each.

The fence is £16 per meter.

Learn more about perimeter in: brainly.com/question/6465134

4 0
3 years ago
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