All categories

2 years ago

Solve for x in the equation x2 + 4x-4-8-

Mathematics

1 answer:

liubo4ka [24]2 years ago

8 0

Answer:

Step-by-step explanation:

x2+4x-4-8

x2+4x-12

x2+6x-2x-12

x(x+6)-2(x+6)

(x-2)(x+6)

Either

x-2=0 OR x+6=0

x=2 OR x=-6

You might be interested in

Please answer this question

Marizza181 [45]

Answer:

C, The marble is 3 times as likely to be black as it is to be white.

Step-by-step explanation:

The probability of a marble being drawn is:

number of marbles of that color/total number of marbles

Find total number of marbles

5+8+4+15= 35

So the probability of drawing:

white: 5/32

polka dot: 8/32

striped: 4/32

black: 15/32

The probability of drawing white, polka dot, or striped is obviously different, so A is wrong.

The probability of drawing every color but black is 5/32 + 8/32 + 4/32 = 17/32, which is more than the chance of drawing black, so B is wrong.

The probability of drawing black is 15/32, and that is 3 times larger than the probability of drawing white (5/32), so C is correct.

The probablility of drawing a polka dot is 8/32, which is not four times as large as stripe (4/32), so D is wrong.

8 0

3 years ago

Sean is driving to visit his friend in another state.In the first hour he travels 1/5 of the total distance. In the second hour

lozanna [386]

Answer:

They live 285 miles apart

Step-by-step explanation:

Let the total distance be x miles

Sean is driving to visit his friend in another state. In the first hour he travels 1/5 of the total distance. This means that he drove x/5 in the first hour. In the second hour he travels 34 miles. That means

Total distance driven in the first and second hour is

(x/5 + 34)miles

He still has 194 miles more to go.

Therefore,

The total distance is the sum of the distance travelled in the first and second hour + the remaining distance.

x = x/5 + 34 + 194

x = x/5 + 228

Cross multiplying

5x = x + 1140

4x = 1140

x = 1140/4 = 285 miles

7 0

2 years ago

tynya is training a turtle for a turtle race for every 2/3 of an hour that the turtle is crawling he can travel 2/23 of a mile a

Len [333]

Answer:

3/23 miles per hour

Step-by-step explanation:

2 /23 mile

-----------------

2/3 hour

2/ 23 ÷ 2/3

Copy dot flip

2 /23 * 3/2

Rewriting

2/2 * 3/23

3/23 miles per hour

7 0

2 years ago

Read 2 more answers

in a standard casino dice game the roller wins on the first roll if he rolls a sum of 7 or 11. what is the probability of winnin

Alborosie

Answer-

The probability of winning on the first roll is 0.22

Solution-

As in the game of casino, two dice are rolled simultaneously.

So the sample space would be,

$|S|=6^2=36$

Let E be the event such that the sum of two numbers are 7, so

E = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

$|E|=56$

$\therefore P(E)=\dfrac{|E|}{|S|}=\dfrac{6}{36}$

Let F be the event such that the sum of two numbers are 11, so

F = {(6,5), (5,6)}

$|F|=2$

$\therefore P(F)=\dfrac{|F|}{|S|}=\dfrac{2}{36}$

Now,

$P(\text{sum is 7 or 11)}=P(E\ \cup\ F)=P(E)+P(F)=\dfrac{6}{36}+\dfrac{2}{36}=\dfrac{8}{36}=\dfrac{2}{9}=0.22$

8 0

3 years ago

Help Me With These Please

Gwar [14]

Look up the formula to find the area of a trapezoid. Then do the math HINT: The formula is

A= a+b/2 h

6 0

2 years ago