How do you solve 8n²-4n=18?

Busca dos números consecutivos de manera que la diferencia de sus cuadrados sea 19

deff fn [24]

The numbers are 9 and 10.

Let x be the first number. Since they are consecutive, this means (x+1) represents the second number.

The square of x is x². The square of (x+1) is
(x+1)²=(x+1)(x+1)=x²+1x+1x+1=x²+2x+1

The difference of these squares would be given by
x²+2x+1 - x²

Setting this equal to 19,
x²+2x+1 - x² = 19

Combining like terms,
2x+1=19

Subtract 1 from each side:
2x+1-1=19-1
2x=18

Divide both sides by 2:
2x/2 = 18/2
x = 9

The first number, x, is 9. This means the second number, x+1, is 9+1=10.

4 0

4 years ago

Julia enjoys shooting paper balls into the wastebasket across her office. She misses the first shot 50% of the time. When she mi

Marianna [84]

Answer:

a) Probability that Julia misses two shots in a row = $\frac{1}{2}\frac{1}{5} =\frac{1}{10}$

b) We can use the complement rule on this case. Let X the number of shoots successful, we want this probability:

$P(X \geq 1)$

And using the complement rule we have this:

$P(X \geq 1) = 1-P(X$

And P(X=0) correspond to the probability that Julia misses two shots in a row founded on part A so then we have:

$P(X\geq 1) = 1- \frac{1}{10}= \frac{9}{10}$

Step-by-step explanation:

Part a

For this case we know that Julia enjoys shooting paper balls into the basket across her office.

She misses the first shot 50% of the time.

Probability that Julia misses the first shot = $\frac{1}{2}$

When she misses on the first shot, she misses the second shot 20% of the time.

Probability that Julia misses the second shot = $\frac{1}{5}$

For this case we need to find the probability of missing two shots in a row

So we can multiple the two probabilities like this

Probability that Julia misses two shots in a row = $\frac{1}{2}\frac{1}{5} =\frac{1}{10}$

Part b

For this case we want probability of making at least one successful throw

And we can use the complement rule on this case. Let X the number of shoots successful, we want this probability:

$P(X \geq 1)$

And using the complement rule we have this:

$P(X \geq 1) = 1-P(X$

And P(X=0) correspond to the probability that Julia misses two shots in a row founded on part A so then we have:

$P(X\geq 1) = 1- \frac{1}{10}= \frac{9}{10}$

6 0

3 years ago

Lucy had 3 2/3 gal of paint. After painting a room she had 1 1/4 gal left how many gallons of paint did Lucy use to paint a room

garik1379 [7]

Answer:

$2 \frac{5}{12}$

gallons of paint was used by Lucy.

Step-by-step explanation:

$3\frac{2}{3} - 1\frac{1}{4} = \frac{44}{12} - \frac{15}{12} = \frac{29}{12}$

29/12 = 2 5/12

7 0

3 years ago

2 x - 5 + 7 y - 3 = 9 x - 1 - y -8 Solve For X AND Y (SHOW WORK PLEASE)

Maru [420]

Answer:

$\large\boxed{\sf x = \frac{8y+1}{7} }$

$\large\boxed{\sf x = \frac{7x-1}{8} }$

Group the Variable's:

2 x - 5 + 7 y - 3 = 9 x - 1 - y -8

2x -9x + 7y +y = -1 -8 +5 + 3

-7x + 8y = -1

From this find x and y

For X

-7x + 8y = -1

-7x = -1 -8y

7x = 8y + 1

x = (8y +1)/7

For Y

-7x + 8y = -1

8y = -1 +7x

y = (7x -1)/8

3 0

2 years ago

Read 2 more answers

WILL MARK BRAINLIST FOR ANSWER!!!!!!!!!! |2 1/3 x+0.3|=3.5

Natalija [7]

THE ANSWER ISSSS

1.37142

6 0

3 years ago