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3 years ago

The vertex of this parabola is at (2,-4). When the y value is -3, the x-value is

1 answer:

4 0

$\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} h=2\\ k=-4 \end{cases}\implies y=a(x-2)^2-4 \\\\\\ \textit{we also know that } \begin{cases} y = -3\\ x = -3 \end{cases}\implies -3=a(-3-2)^2-4\implies 1=a(-5)^2 \\\\\\ 1=25a\implies \boxed{\cfrac{1}{25}=a}$

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Which product is positive?

Natalija [7]

Option D:

$\left(-\frac{2}{5}\right)\left(-\frac{8}{9}\right)\left(\frac{1}{3}\right)\left(\frac{2}{7}\right)$ is positive product.

Solution:

<em>If the negative sign is in even number of times then the product is positive.</em>

<em>If the negative sign is in odd number of times then the product is negative.</em>

To find which product is positive:

Option A:

$$\left(\frac{2}{5}\right)\left(-\frac{8}{9}\right)\left(-\frac{1}{3}\right)\left(-\frac{2}{7}\right)$

Here, number of negative signs = 3

3 is an odd number.

So, the product is negative.

Option B:

$$\left(-\frac{2}{5}\right)\left(\frac{8}{9}\right)\left(-\frac{1}{3}\right)\left(-\frac{2}{7}\right)$

Here, number of negative signs = 3

3 is an odd number.

So, the product is negative.

Option C:

$$\left(\frac{2}{5}\right)\left(\frac{8}{9}\right)\left(\frac{1}{3}\right)\left(-\frac{2}{7}\right)$

Here, number of negative sign = 1

1 is an odd number.

So, the product is negative.

Option D:

$$\left(-\frac{2}{5}\right)\left(-\frac{8}{9}\right)\left(\frac{1}{3}\right)\left(\frac{2}{7}\right)$

Here, number of negative sign = 2

2 is an odd number.

So, the product is positive.

Hence option D is the correct answer.

$\left(-\frac{2}{5}\right)\left(-\frac{8}{9}\right)\left(\frac{1}{3}\right)\left(\frac{2}{7}\right)$ is positive product.

4 0

3 years ago

One dozen students each drop a brass tack six times from a height of six inches onto a level hard surface. They record the numbe

pshichka [43]

Experimental Probability = 2/3

To find the experimental probability that the tack lands point-up for student 4, we can use the following equation

$\frac{Point-up}{Attempts}\\\frac{4}{6} or\frac{2}{3}$

If this helped you a Brainliest would be appreciated!

8 0

3 years ago

Sean is helping his dad build a tiled walkway in their backyard. The walkway will be 60 feet long and 2 feet wide. The local har

Natalija [7]

Length of the walkway that needs to be tiled = 60 feet
Width of the walkway that needs to be tiled = 2 feet.
Then
Area of the walkway that needs to be tiled = Length * Breadth
= 60 * 2 square feet
= 120 square feet
Now
Length of the tiles sold by the local store = 2 feet
Width of the tiles sold by the local store = 2 feet
Area covered by the tiles sold by the local store = 2 * 2 feet
= 4 square feet
Number of tiles in a box = 6
Then
Total area covered by a box of tile = (6 * 2) square feet
= 12 square feet
Then
The number of boxes required by Sean = (120/12)
= 10
So 10 boxes of tiles are needed by Sean and his father.

4 0

4 years ago

Read 2 more answers

The graph shown _____ So, the graph is _____ <(a function/ not a function)

frozen [14]

The first answer is the correct one

6 0

3 years ago

A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 32 had a mild allergic reacti

Yuri [45]

Answer:

i think it 0.4%