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3 years ago

What is the minimum value of this function

Mathematics

2 answers:

Luden [163]3 years ago

5 0

Answer:

I believe its -8

Step-by-step explanation:

love history [14]3 years ago

3 0

I the answer is -8 I’m pretty sure

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PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1

marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

$\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}$

Comparing the given line with the form above:

$y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}$

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

$\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}$

The y-intercept of L is at (0,5), therefore:

$y-intercept,b=5$

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

$\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}$

The equation of line L is:

$y=-3x+5$

7 0

1 year ago

Solve for x: 5x + 2 = 4x - 9.

AlekseyPX

Answer:

Step-by-step explanation:

5x + 2 = 4x - 9

Collecting like terms

5x - 4x = -9 - 2

x = -11

4 0

3 years ago

Read 2 more answers

Heyy can you please help me posted picture of question

True [87]

$\bigg( \frac{4}{5} \bigg)^6 = \dfrac{4^6}{5^6}$

8 0

3 years ago

Read 2 more answers

Shelly spent 10 mintues jogging and 20 mintues cycling and burned 300 calories. The next day, shelly swapped times and did 20 mi

ratelena [41]

She burned 30 calories for each minute of jogging and 15 calories for each minute of cycling because 300 divided by 10 is 30 and 300 divided by 20 is 15

6 0

3 years ago

julia and her friends are making kites out of paper. For each kite, they need a piece of paper that is \dfrac{65}{100} \text{ me

Alona [7]

Answer:

260 cm

Step-by-step explanation:

Each 1/00 of a meter is 1 cm, so 65/100 meters is 65 cm. If that is the length of paper required for 1 kite, then 4 times that length will be required for 4 kites.

The paper required for 4 kites is ...

(65 cm) × 4 = 260 cm

8 0

2 years ago