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4 years ago

Help please and thank youWhat is the y intercept of the function f(x)= -2/9x + 1/3?

Mathematics

1 answer:

Gnesinka [82]4 years ago

5 0

Answer:

1/3

Step-by-step explanation:

plug in 0 for x

0 * anything = 0 (cancels out the -2/9) and you're left with 1/3

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The general term for the sequence 3/4,6/5,9/6,12/7,15/8

Ronch [10]

Answer:

B . $\frac{3 n}{n+3}$

Step-by-step explanation:

<u>Arithmetic sequence</u>:-

Step1:

Given sequence is $\frac{3}{4} ,\frac{6}{5} ,\frac{9}{6} ,\frac{12}{7} ,\frac{15}{8}$

Above sequence taking numerator terms

3,6,9,12,15 are in arithmetic progression

First term a= 3 and difference d = 3

now n t h term of given sequence is

$t_{n} =a+(n-1)d$

now substitute a =3 and d=3

$t_{n} = 3+(n-1)3 = 3+3 n-3=3n$

Step2:-

Above sequence taking denominator

4,5,6,7,8...

here a=4 and d=1

$t_{n} =a+(n-1)d$

$t_{n} =4+(n-1)1$

$t_{n}=3+n$

Final answer is the general term of given sequence is

$t_{n} = \frac{3n}{3+n}$

3 0

4 years ago

Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace,

MrRissso [65]

Answer:

$4.82\cdot 10^{-4}$

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

$p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769$

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

$n-1=51$

Therefore, the probability of drawing a three at the 2nd draw is

$p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784$

Then, at the third draw, the previous 2 cards are not replaced, so there are now

$n-2=50$

cards in the deck. So, the probability of drawing a jack is

$p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08$

Therefore, the total probability of drawing an ace, a three and then a jack is:

$p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}$

4 0

4 years ago

A sow had a litter of 10 piglets. Out of those 10 piglets 3 of them were pink. what is the percentage of the litter was not pink

yarga [219]

3/10 was pink so 7/10 was not

7/10= 70% was not pink

8 0

4 years ago

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Natalie can do 26 pushups in 2 minutes. How many could she do in 7 minutes?

satela [25.4K]

Answer:

91 push-ups

Step-by-step explanation:

3 0

4 years ago

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Plz help I’m so stuck

iris [78.8K]

I dont believe there is any figure we can see, take a larger picture please

8 0

3 years ago

Help please and thank youWhat is the y intercept of the function f(x)= -2/9x + 1/3?​

Help please and thank youWhat is the y intercept of the function f(x)= -2/9x + 1/3?