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4 years ago

What it the x and y intercept of y=2x^2+3x+1

Mathematics

1 answer:

diamong [38]4 years ago

8 0

The x-intercepts are (-1/2, 0) and (-1,0).

The y-intercept is (0,1).

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Rosario is an ecologist who studies the change in the penguin population of Antarctica over time.

disa [49]

Answer: every 3 years

Step-by-step explanation:

7 0

3 years ago

One number is 4 times another number. The sum of their reciprocals is 5. What are the two numbers?

ivann1987 [24]

Answer:

The two number are:

$y=1,\:x=\frac{1}{4}$

Step-by-step explanation:

Let 'x' be the first number

let 'y' be the second number

Given that one number is 4 times another number, the first equation is

$y = 4x$

Next, the sum of their reciprocals is 5, so

$\frac{1}{x}+\frac{1}{y}=5$

Now, we have the system of equations

$\begin{bmatrix}y=4x\\ \frac{1}{x}+\frac{1}{y}=5\end{bmatrix}$

Let us solve the system of equations

$\begin{bmatrix}y=4x\\ \frac{1}{x}+\frac{1}{y}=5\end{bmatrix}$

substitute y = 4x in the equation $\frac{1}{x}+\frac{1}{y}=5$

$\frac{1}{x}+\frac{1}{4x}=5$

Least Common Multiple of x, 4x: 4x

Adjust fractions based on L.C.M

$\frac{4}{4x}+\frac{1}{4x}=5$

$\frac{4+1}{4x}=5$

$\:\frac{5}{4x}=5$

Multiply both sides by 4x

$\frac{5}{4x}\cdot \:4x=5\cdot \:4x$

Simplify

$5=20x$

switch sides

$20x=5$

Divide both sides by 20

$\frac{20x}{20}=\frac{5}{20}$

Simplify

$x=\frac{1}{4}$

For y = 4x, substitute $x=\frac{1}{4}$

$y = 4x$

$y=4\cdot \frac{1}{4}$

$y=1$

Therefore, the two number are:

$y=1,\:x=\frac{1}{4}$

<u>Verification:</u>

$\frac{1}{x}+\frac{1}{y}=5$

substituting $y=1,\:x=\frac{1}{4}$

$\:\frac{1}{\frac{1}{4}}+\frac{1}{1}=\:5\:\:$

$4+1=5$

$5 = 5$

L.H.S = R.H.S

and

$y = 4x$

substituting $y=1,\:x=\frac{1}{4}$

$y\:=\:4\left(\frac{1}{4}\right)$

$y=1$

8 0

3 years ago

Which is bigger 5/8 or 0.58?

Reika [66]

To find out which is larger, do 5 divided by 8, which equals 0.625. 0.625 is larger than 0.58

4 0

4 years ago

Read 2 more answers

I don't understand plz help

Marizza181 [45]

∠5 and ∠8, are vertical angles

vertical angles are pairs of opposite angles made by two intersecting lines

attached is a picture of how a vertical angle looks like.

hope this helps

4 0

4 years ago

Read 2 more answers

PLEASE HELP. Appreciate it

Amiraneli [1.4K]

The other angle will =31 degrees because they are alternate angles

Tan31 =o/a
Tan31=y/400
Y=400tan31
Y=240,34

5 0

3 years ago