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3 years ago

The graph below shows the number of open blossoms in a nursery and the number of hours after dawn. answer all that apply

Mathematics

1 answer:

uysha [10]3 years ago

6 0

Answer:

The correct option is B.

Step-by-step explanation:

The given equation is

$y=20x+3$

This equation represent the number of open blossoms in a nursery after x hours.

At initial the number hours is 0.

Substitute x=0 in the given equation.

$y=20(0)+3$

$y=0+3$

$y=3$

The initial value is 3, it means there were three blossoms open at dawn. Option B is correct.

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2 years ago

Write the equation of a line that is perpendicular to y=7x−2 and passes through the point (14,8).(1 point) y=7x−90 y=10x−17 y=−1

True [87]

Answer:

$\huge\boxed{y=-\frac{1}{7}x+ 10}$

Step-by-step explanation:

In order to find the equation of this line, we need to note two things.

A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)
B) We can substitute a point inside an incomplete equation to try and find a missing value.

So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.

<u>Reciprocal of 7:</u> $\frac{1}{7}$
<u>Opposite of </u> $\frac{1}{7}$ : $-\frac{1}{7}$

So the slope of this line will be $-\frac{1}{7}$ . The y-intercept will change, and we can substitute what we know into the equation $y=mx+b$ .

$y = -\frac{1}{7}x+b$

Now, we can substitute a point on the graph (14, 8) into this equation to find b.

$8 = -\frac{1}{7} \cdot 14 + b$
$8 = -\frac{14}{7} + b$
$8 = -2 + b$
$b = 10$

Now that we know the y-intercept, we can finish off our equation by plugging that in.

$y = -\frac{1}{7}x + 10$

Hope this helped!

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