All categories

3 years ago

Determine the equation of the graph, and select the correct answer below.

Mathematics

1 answer:

Hunter-Best [27]3 years ago

8 0

Vertex is (h,k)
Equation is ..
Y = (x -h)^2 + k
Put in vertex (-4,-1) gives the equation
Y = (x+4)^2 - 1

You might be interested in

Write 1.375x10-6 in standard form

liq [111]

1 + .3 +.07+.005 x 10 - 6

7 0

3 years ago

Type an equation for the following pattern! Please Help!!!

Helga [31]

Answer:

y=x+2

Step-by-step explanation:

1) Solve for m using the equation m=y2-y1/x2-x1 by plugging in any 2 coordinates from the table

2) After getting m, which is 1, you can solve for b by plugging in another coordinate. For example,the coordinate (1,3): 3=(1)1+b

3) You then solve for b, which is 2

Answer: y=x+2

6 0

3 years ago

Solve for x. −23(3x−4)+3x=56

Alex787 [66]

I solved this problem for you. Your answer is 6/11

8 0

3 years ago

A student has a 30% chance of receiving chocolate ice cream for dessert at lunch. A statistics class designs a simulation to app

Nadusha1986 [10]

The count of the sections the class should label as "Chocolate Ice Cream" is 3.

<h3>How to calculate the probability of an event?</h3>

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

$P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}$

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For the considered case, it is given that:

Probability of an student getting Chocolate Ice Cream for dessert at lunch = 30% = 0.3

The count of the sections the class should label as "Chocolate Ice Cream" should be such that spinner getting "Chocolate Ice Cream" as option should have the probability as 0.3

Let the count of the sections the class should label as "Chocolate Ice Cream" be $x$

Then, as there are in total 10 sections in the spinner, and all sections are assumingly equally probable, thus, if the event E is:

E = event of getting "Chocolate Ice Cream" in the spinner ,

then as n(E) = $x$ (as there are $x$ sections with label "Chocolate Ice Cream")

and n(S) = total count of sections (size of sample space) = 10

Thus, we get probability of event E as:

$P(E) = \dfrac{n(E)}{n(S)} = \dfrac{x}{10}$

This needs to be equal to 0.3, thus,

$0.3 = \dfrac{x}{10}\\x = 3$

Thus, the count of the sections the class should label as "Chocolate Ice Cream" is 3.

Learn more about probability here:

brainly.com/question/1210781

3 0

2 years ago

Read 2 more answers

Write the explicit formula for the sequence below and use it to find the 16th term:

mario62 [17]

Given:

The sequence is:

$6, -24, 96, -384,...$

To find:

The explicit formula for the given sequence and then find the 16th term.

Solution:

We have,

$6, -24, 96, -384,...$

The ratio between two consecutive terms are:

$\dfrac{-24}{6}=-4$

$\dfrac{96}{-24}=-4$

$\dfrac{-384}{96}=-4$

The given sequence has a common ratio. So, the given sequence is a geometric sequence with first term 6 and common ratio $-4$ .

The explicit formula of a geometric sequence is:

$a_n=ar^{n-1}$

Where, a is the first term and r is the common ratio.

Putting $a=6, r=-4$ in the above formula, we get

$a_n=6(-4)^{n-1}$

We need to find the 16th term. So, put $n=16$ in the above formula.

$a_n=6(-4)^{16-1}$

$a_n=6(-4)^{15}$

$a_n=6(-1073741824)$

$a_n=-6442450944$

Therefore, the explicit formula for the given sequence is $a_n=6(-4)^{n-1}$ and 16th term of the given sequence is $-6.442450944$ .

3 0

3 years ago