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Marrrta [24]
3 years ago
10

The y-intercept of the graph of a line is (-2). The line also passes through the point (5, 1).

Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0

Answer:

y = 3/5 x - 2

Step-by-step explanation:

To find the equation of the line, calculate the slope using two points. With the slope and one point, substitute them into the point slope form and simplify as needed.

Use the points (5,1) and (0, -2) since -2 is the y-intercept.

Slope = \frac{y_2-y_1}{x_2-x_1}=\frac{1--2}{5-0}=\frac{3}{5}

y - -2 = 3/5 (x - 0)

y + 2 = 3/5(x)

y = 3/5 x - 2

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Choices given were:
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-6.3x+14 and 1.5x-6<br> answer in simplified form
koban [17]

Answer:

The simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8

Step-by-step explanation:

We have to simplify the following

-6.3x+14 and 1.5x-6

it can be written as:

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3 years ago
What type of function is y=7(5/4)^x
erica [24]

Answer:

It is a equation

Step-by-step explanation:

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4 0
3 years ago
Find an equation of the parabola y = ax2 + bx + c that passes through (0, 1) and is tangent to the line y = 4x − 4 at (1, 0).
larisa86 [58]
We are given the following:
          - parabola passes to both (1,0) and (0,1) 
<span>          - slope at x = 1 is 4 from the equation of the tangent line </span>

<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>

<span>Now, we can substitute the point (1,0) into the equation,
</span>0 = a(1)^2 + b(1) + 1 
<span>0 = a + b + 1
a + b = -1 </span>

<span>The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.</span>
<span>We take the derivative of the  equation ,
y = ax^2 + bx + 1</span>
<span>y' = 2ax + b 
</span>
<span>x = 1, y' = 2
</span>4 = 2a(1) + b 
<span>4 = 2a + b </span>

So, we have two equations and  two unknowns,<span> </span>
<span>2a + b = 4 </span>
<span>a + b = -1 
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a = 5 </span>
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6 0
3 years ago
Sixty percent (60%) of those who attended the soccer game were parents. There were 120 people who
IrinaVladis [17]

Answer:

72

Step-by-step explanation:

<u>Given:</u>

There were 120 people in total.

60% were parents.

<u>To find:</u>

Number of parents attended.

Solution:

1. 60% of 120

It can also be written as:

\frac{60}{100}\times \frac{120}{1}

Simplify

  • Cancel zeros

\frac{60}{100}\\\\=\frac{6}{10}

  • Divide by common factor (2)

\frac{6\div2}{10\div2}=\frac{3}{5}

2. \bold{\frac{3}{5}\times \frac{120}{1}}

Multiply

\frac{3\times120}{5\times1} = \frac{360}{5}

Divide

\frac{360}{5}= 360\div5=72

Therefore, 72 parents attended the game.

4 0
2 years ago
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