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2 years ago

Y = 3x^2 - 4x 27 + y = 14x

Mathematics

1 answer:

Hatshy [7]2 years ago

4 0

Step-by-step explanation:

move the 27 to the other side of the equation like this

$y = 14x - 27$

use this equation and substitute it into the y value of the first equation

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How many possible circles of given radius can be drawn touching both axes and the line x = c?

DiKsa [7]

1 the answer is one

8 0

3 years ago

Roberto rowed 20 miles downstream in 2.5 hours. The trip back, however, took him 5 hours. Find the rate that Roberto rows in sti

almond37 [142]

Answer:

<em>Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour</em>

Step-by-step explanation:

<u>Relative Speed</u>

When a body is moving at a constant speed v, the distance traveled in a time t is:

$d=v.t$

When Roberto rows downstream, his speed in still water is added to the speed of the water, making it easier to travel the required distance.

When Roberto rows upstream, his speed in still water is affected by the speed of the water, both are subtracted and the required distance is covered in more time.

Let's call

x = Roberto's rowing speed in still water

y = Speed of the river current

The speed when rowing downstream is x+y, thus the distance traveled is

$d=(x+y).t_1$

Where t1=2.5 hours. Substituting values:

$20=(x+y)*2.5$

Rearranging, we find the downstream equation:

$2.5x+2.5y=20\qquad[1]$

The speed when rowing upstream is x-y, and the distance traveled is

$d=(x-y).t_2$

Where t2=5 hours. Substituting values:

$20=(x-y)*5$

Rearranging, we find the upstream equation:

$5x-5y=20\qquad[2]$

Multiplying [1] by 2:

$5x+5y=40$

Adding this equation to [2]:

$10x=60$

Solving:

$x=60/10=6$

Dividing [2] by 5:

$x-y=4$

Solving for y

$y=x-4=6-4=2$

Thus, Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour

3 0

3 years ago

25 points and brainliest if it's correct!

aleksandr82 [10.1K]

Answer:

Just substitute each number into the expression:

5(5) - 6(3) + 20(1/4)/4(3)(1/4) = 25 - 18 + 5/3 = 7 + 5/3 = 26/3 or 8 and 2/3.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Write 2x3 − 3x2 + x5 in standard form. What is the classification of this polynomial by its degree? by its number of terms?

andrew-mc [135]

Answer:

x⁵ +2x³ -3x², degree 5, 3 terms

Step-by-step explanation:

We assume you intend your expression to be ...

2x³ -3x² +x⁵

The superscript numbers are exponents. Each indicates the degree of the term. In standard form, terms are listed in decreasing order by degree:

x⁵ +2x³ -3x² . . . . standard form

The degree of the polynomial is the degree of the highest-degree term: 5.

The number of terms is the number of products in the sum: 3.

4 0

2 years ago

A new experimental strain of pepper plants was being studied to estimate how much fruit one plant would produce in a typical gro

zmey [24]

Answer:

58.9% produced produced peppers weighing between 13 and 16 pounds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1.75

We are given that the distribution of weight of peppers is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(peppers weighing between 13 and 16 pounds)

$P(13 \leq x \leq 16) = P(\displaystyle\frac{13 - 15}{1.75} \leq z \leq \displaystyle\frac{16-15}{1.75}) = P(-1.142\leq z \leq 0.571)\\\\= P(z \leq 0.571) - P(z < -1.142)\\= 0.716 - 0.127 = 0.589 = 58.9\%$

$P(13 \leq x \leq 16) = 58.9\%$

58.9% produced produced peppers weighing between 13 and 16 pounds.

7 0

3 years ago