All categories

3 years ago

A parabola has its vertex at (2, 1) and crosses the x-axis at (1,0) anu al l

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

7 0

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 1), thus

y = a(x - 2)² + 1

To find a substitute (1, 0) into the equation

0 = a(1 - 2)² + 1

0 = a + 1 ( subtract 1 from both sides )

a = - 1

Hence

y = - (x - 2)² + 1 or

y = 1 - (x - 2)² → A

You might be interested in

Find the quotient 27 divided by 623.

Sidana [21]

27 / 623 = 0.04333868378

8 0

3 years ago

A store is giving a $10 coupon th every 7tgh person, and a $25 coupon to every 18th person, Which person will be the first to ge

elixir [45]

Answer:

126th

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $.59.

kakasveta [241]

The function would be C(p) =0.59p

since its .59 cents per pound

8 0

3 years ago

Read 2 more answers

2. Which of the following systems of inequalities represents the graph?

Rom4ik [11]

Answer:

Option: D is the correct answer.

D) –2x + y ≥ 4

x + y < 2

Step-by-step explanation:

We are asked to find the linear inequality that represents the following graph.

Clearly from the graph we could observe that one line is dotted and the other is solid line.

i.e. one inequality is strict while the other is a inequality with equality sign.

<u>Dashed line:</u>

It passes through (0,2) and (2,0).

Hence, the equation of line is:

$y-2=\dfrac{0-2}{2-0}\times (x-0)\\\\\y-2=\dfrac{-2}{2}\times x\\\\y-2=-x\\\\x+y=2$

As the shaded region is towards the origin.

Hence, the inequality will be:

x+y<2.

<u>Solid line:</u>

The line passes through (-2,0) and (0,4).

hence equation of line is:

$y-0=\dfrac{4-0}{0-(-2)}\times (x+2)\\\\$

i.e

$y=\dfrac{4}{2}\times (x+2)\\\\y=2\times (x+2)\\\\y=2x+4\\\\-2x+y=4$

Now, as the shaded region is away from the origin hence the inequality which will be used is:

$-2x+y\geq 4$

Hence, option: D is the correct answer.

D. –2x + y ≥ 4

x + y < 2

8 0

3 years ago

Read 2 more answers

What is -3/4 + 3/8? Thanks.

AURORKA [14]

Answer:

$- \frac{3}{8}$

Step-by-step explanation:

First, we change both denominators to the LCM (lowest common multiple) which is 8.

$- \frac{3}{4} + \frac{3}{8} = - \frac{6}{8} + \frac{3}{8}$

Since the denominators are the same, we can add the numerators.

$\frac{ - 6 + 3}{8}$

$\frac{ - 3}{8}$

or it can be written as

$- \frac{3}{8}$

7 0

3 years ago

Read 2 more answers