3 years ago

Select all that apply. PLEASE HELP!!!!!

Mathematics

1 answer:

IrinaVladis [17]3 years ago

8 0

Answer: Goverment good

Step-by-step explanation:

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Which describes the graph of y = (x - 5)2 - 4?

Schach [20]

Answer:

A. Opens up with a vertex at (5,-4)

Step-by-step explanation:

Apex

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3 years ago

John lives 35 miles from home, how long will it take him to get home if he is 7 miles away?

-Dominant- [34]

Wouldn't you subtract 35 by 7.

35-7=27 miles

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3 years ago

Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37

Mandarinka [93]

Answer:

The general rule is $a_n = -2 - 5(n-1)$

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

$a_{n} = a_1 + (n-1)d$

In which $a_1$ is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

$a_n = a_m + (n-m)d$

a3 = -12 and a8 = -37

First we find the common difference. So

$a_n = a_m + (n-m)d$

$a_8 = a_3 + (8-3)d$

$-37 = -12 + 5d$

$5d = -25$

$d = -\frac{25}{5}$

$d = -5$

$a_n = a_1 - 5(n-1)$

Finding the first term:

$a_n = a_1 - 5(n-1)$

Since $a_3 = -12$

$a_n = a_1 - 5(n-1)$

$a_3 = a_1 - 5(3-1)$

$a_1 = a_3 + 10 = -12 + 10 = -2$

So the general rule is:

$a_n = a_1 - 5(n-1)$

$a_n = -2 - 5(n-1)$

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3 years ago

If you choose a card at random from a well shuffled deck of 52 cards, what is the probability that the card chosen is not a hear

Vinvika [58]

Sample space ={13 H + 13 D + 13 S + 13 C} = 52 cards

P(getting one heart) = 13/52 = 1/4
P( getting NO heart) = 1-1/4 = 3/4 = 0.75

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3 years ago

Are same side exterior angles always congruent

Feliz [49]

Answer: Same-side interior angles are NOT always congruent.

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3 years ago