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soldier1979 [14.2K]
2 years ago
10

How do I find the slope from the first function?

Mathematics
1 answer:
Art [367]2 years ago
3 0

Considering the linear function found in part a, we have that:

b) The slope is of AC.

c) The intercept is of AD + B.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The equation found in part a is:

A(Cx + D) + B.

Placing it in slope-intercept format, we have that it is given by:

ACx + AD + B.

Hence:

b) The slope is of AC, as it is the part that multiplies x.

c) The intercept is of AD + B, as it is the constant term.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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A coffee mixture has beans that sell for $0.20 a pound and beans that sell for $0.68. If 120 pounds of beans create a mixture wo
atroni [7]
Let x be the number of pounds of the $1.35 beans. The cost of those beans is $1.35 * x, or 1.35x. 
<span>Let y be the number of pounds of the $1.05 beans. The cost of those beans is $1.05 * y, or 1.05y. </span>
<span>We know that 120 pounds of the mix sells for $1.15/pound, for a total of 120 * 1.15 = $138. </span>

<span>x + y = 120 </span>
<span>1.35(x) + (1.05)y = 138 </span>

<span>We can rewrite the first as </span>
<span>x = -y + 120 </span>

<span>Now we can substitute (-y + 120) in for (x) in the second equation, because we just proved they're equal. </span>

<span>1.35(x) + 1.05(y) = 138 </span>
<span>1.35(-y + 120) + 1.05y = 138 </span>
<span>-1.35y + 162 + 1.05y = 138 </span>
<span>-0.3y + 162 = 138 </span>
<span>-0.3y = -24 </span>
<span>y = 80 </span>

<span>And since x + y = 120, that means x = 40. </span>

<span>Check: </span>
<span>40 pounds of x at $1.35 costs 40 * 1.35, or $54. </span>
<span>80 pounds of y at $1.05 costs 80 * 1.05, or $84. </span>
<span>Do those add up to our target total, according to the question, of 120 * 1.15 = $138? </span>
3 0
3 years ago
What is the TOTAL area of a square with sides that are 67 cm and a rectangle with sides that are 47cm long and 27cm wide?
Mkey [24]

Answer:

94+54=148

Step-by-step explanation:

4 0
3 years ago
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The diagrams show a right angled triangle and a rectangle.
Mrrafil [7]

Answer:

hope it helps you......................

8 0
2 years ago
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Whic
andreyandreev [35.5K]

Figure A which has two rays connected at a vertex is an angle in this scenario.

<h3>What is an Angle?</h3>

This is formed when two rays share a common endpoint with there being different types of angles.

The common endpoint shared forms a vertex which is why Figure A was chosen as the most appropriate choice.

Read more about Angle here brainly.com/question/25770607

#SPJ1

5 0
1 year ago
3. Kanyla makes and
Triss [41]

Answer:

$23

Step-by-step explanation:

1 phone case = $12

4 phone cases = 12 * 4 = $48

Table = $25

4 phone cases - Table = 48 - 25 = $23

4 0
3 years ago
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