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Answer:

y = -a(x – 2)² – 4

a > 1

Example:

y = -2(x – 2)² – 4

Step-by-step explanation:

y = a(x – h)² + k

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vetex: (h, k)

a: vertical reflection or stretch/compression

__________________________________

If it opens downward, has a vertex of (2, -4) and is narrower than y = x².

Then x² will have a negative coefficient of less than -1 and the input of x will be subtracted by the x value of the vertex which is 2, and the output will be added by the y value of the vertex which is -4.

Therefore y = -a(x – 2)² – 4 where a > 1

Answer:

f

Step-by-step explanation:

f

Answer:

the possible prediction of getting a purple or blue is 2 out of 6

Step-by-step explanation:

(hope this helps can i plz have brainlist :D hehe)

Answer:

a) 24

b) 12

Step-by-step explanation:

a) For the 4 letters of the word ROCK

Selecting any first letter, we have 4 options

for the second, we have 3 options

for the third we have 2 options

for the fourth, we have only one option

So the number of ways will be ;

4 * 3 * 2 * 1 = 24 ways

b) 2 out of 4

For the first letter, we have 4 options, for the second, we have 3 options

so the number of options is 4 * 3 = 12 options

Answer:

If anders flips one coin, he has a 1/2 chance of heads.

if he flips two, he has to get to heads, which the chances are 1/2 and 1/2

So multiply 1/2*1/2

you get 1/4

Answer:

I cannot help you with that because I have the free part.

Maybe un-subscribe or go to the faq site for Brainly and ask that question there.

Step-by-step explanation:

Hope that this helps you out! :)  

If you have any questions please put them in the comment section below this answer.  

Have a great rest of your day/night!  

Please thank me on my profile if this answer has helped you.

Answer:

I'm pretty sure the answer is D.!

Answer:

No solution

Step-by-step explanation:

When we take the 5/2 x to the other side, 4x and 4x cancels out. We get 7=0 which is incorrect. Therefore, x has no solution.

By the way, can you follow me on Brainly?

Thanks!

Answer:

x= [tex]\frac{7 (+-) \sqrt{113} }{8}[/tex]

Step-by-step explanation:

Answer:

where is the figure c and b?

Answer:

-9/2

Step-by-step explanation:

-2x-5 = 4

    +5   +5

-2x = 9

------  ------

-2    -2

x = -9/2

Answer:

[tex]x = - \frac{9}{2} [/tex]

Step-by-step explanation:

1) Add 5 to both sides.

[tex] - 2x = 4 + 5[/tex]

2) Simplify 4 + 5 to 9.

[tex] - 2x = 9[/tex]

3) Divide both sides by -2 to get the answer.

[tex]x = - \frac{9}{2} [/tex]

hence, the answer is x = -9/2.

Answer:

Step-by-step explanation:

It can be anything according to your value added tax.

Answer:

(a) According to the central limit theorem, the distributions of the sample means of sufficiently large samples randomly selected from a population with mean, μ and standard deviation, σ with replacement will be normally distributed

Therefore, given that the size of the population from which the samples were selected (34 petri dishes) is comparable the sizes of the samples, (16 and 18), therefore, the samples are approximately normal

Also given that the petri dishes were prepared with growth medium designed to increase the growth of microorganisms, with an expected amount of growth, the samples therefore came from approximately normal distributions

Step-by-step explanation:

Answer:

135.6

i think

Step-by-step explanation:

Emi evaluated (46 - 78)² as -(32)². The variance of the given data is 274. Therefore, option C is the correct answer.

Given that, the population data set is 87, 46, 90, 78, and 89.

Here, mean = [tex]\bar x[/tex] =78 and n=5

We know that, mean [tex]\bar x=\frac{\sum x_i}{n}[/tex] and variance = [tex]\sigma^2=\frac{\sum (x_i-\bar x)^2}{n}[/tex].

Here, σ² = [(87-78)²+(46-78)²+(90-78)²+(78-78)²+(89-78)²]/5

= (9²+(-32)²+12²+0²+11²)/5

= (81+1024+144+121)/5

= 1370/5

= 274

So, the variance is 274.

Therefore, option C is the correct answer.

Learn more about the variance here:

https://brainly.com/question/29615374.

#SPJ7

Answer:

#3 is 40

#4 is 90

Step-by-step explanation:

Answer:

Sorry if im wrong..

Step-by-step explanation:

7 = (7 x)/3 + 4 = 21 x + 4 = 7

Answer:

A

Step-by-step explanation:

You need a value that keeps 79% of the previous value. 79% is 0.79 as a decimal.

You get that by taking 100% of the value and subtracting 21% of the value. Said easier (100% x - 21%x = 79% of x.

r = 0.79

Answer:

3x - 6

Step-by-step explanation:

Uwu if you want me to explain it more let me know

Answer:

x=1.125

Step-by-step explanation:

Isolate the variable by evalaluting

Answer:

1.125

Step-by-step explanation:

subtract 1.25

2x = 2.25

divide by 2

x = 1.125

Answer:

3

Step-by-step explanation:

Given the function : y = x/3 + 1

If an input value, x is given as 6 ;

Output value, y can be obtained by Substituting the value x = 6 into the function and calculating the value of y

Calculation goes thus ;

y = 6/3 + 1

y = 2 + 1

y = 3

Output, y = 3

Answer:

D) 13

Step-by-step explanation:

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

[tex]\sqrt{c^2} =\sqrt{169}[/tex]

c = 13

Answer:

-4x+8=42

-4x+8-8=42-8

-4x=34

-4x/-4=34/-4

x = -8.5

Answer:

-5

Step-by-step explanation:

[tex]\frac{12}{6} + 5 - 4(6) + 12 = -5[/tex]

Have a great day :)

Answer:

d = st,

Step-by-step explanation:

Distance= speed times rate

Answer:

Approximately 58 pieces can be cut in 35 minutes.

Step-by-step explanation:

Jason is cutting 25 firewood pieces in 15 minutes

Therefore, per minute rate of cutting firewood will be,

Rate = [tex]\frac{\text{Amount of firewood to be cut}}{\text{Time taken}}[/tex]

        = [tex]\frac{25}{15}[/tex]

        = [tex]\frac{5}{3}[/tex] pieces per minute

By this rate amount of firewood that can be cut = Rate × Time taken

= [tex]\frac{5}{3}\times 35[/tex]

= 58.33

≈ 58 pieces of firewood

Therefore, approximately 58 pieces can be cut in 35 minutes.

Answer: £1.32

Step-by-step explanation:

Amy buys 23 envelopes and each of them cost 16p.

1p makes a pound so 16 pence is £0.16.

23 envelopes would cost:

= 0.16 * 23

= £3.68

Her change in Pounds would be:

= 5 - 3.68

= £1.32

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Explanation:

We start with one block at the very left side. This is algebraically written as [tex]a_1 = 1[/tex]. The small subscript '1' means we're dealing with the first term, and that is set equal to 1. In other words, the first term is 1.

The second term is three since we have three blocks as the next figure down the line. So [tex]a_2 = 3[/tex]. We can then see that [tex]a_3 = 6[/tex] and [tex]a_4 = 10[/tex]

The sequence of the first four terms are: 1, 3, 6, 10.

The notation [tex]a_n = a_{n-1} + n[/tex] tells us "to get the nth term [tex]a_n[/tex], we add the previous term ([tex]a_{n-1}[/tex]) to the value of n".

For example, if we wanted the third term, we would add the second term a2 onto the value of n = 2. In order to know a2, we need the diagram or you would have to use the recursive formula to find it.

Furthermore, it means that to find the fifth term [tex]a_5[/tex], we do the following

[tex]a_n = a_{n-1} + n\\\\a_5 = a_{5-1} + 5\\\\a_5 = a_{4} + 5\\\\a_5 = 10+5\\\\a_5 = 15[/tex]

The fifth figure will have 15 small little blocks to it. You can draw this out by copying the fourth figure, and then adding 5 smaller blocks to the very bottom portion. The sixth figure is basically a copy of the fifth one, but we have six little blocks along the bottom. This is the "plus n" being applied in the recursive formula.

So the 6th figure will have 15+6 = 21 blocks in total while the 7th figure has 21+7 = 28 blocks. This points us to choice (3).

Side note: These are known as triangular numbers. Note how the gaps between consecutive values of 1,3,6,10,15,21,28 is +2,+3,+4,+5,+6,+7.