All categories

3 years ago

Solve the following equation by factoring: x^2 - 2x - 48 = 0

Mathematics

1 answer:

Vlada [557]3 years ago

4 0

Answer:

B. x=-6 or x=8

Step-by-step explanation:

To solve this, factor the equation x^2-2x-48. Since -48 is negative, one of the factors has to be negative and one has to be positive. Since the coefficient of x is -2, the factors have to sum to -2. Trying factors, we realize that (x-8)(x+6)=0 works. Solving, x-8=0 and x+6=0, or x=8 or x=-6.

You might be interested in

Can someone help solve

leva [86]

$\frac{-18z^{7}y^{5}-9z^{9}y^4+18z^6y^8}{9zy^{2} }= -2z^6y^3-z^8y^2+2z^5y^6$

When variables with exponents are divided by each other, you subtract the exponents.

For example:

$\frac{x^2}{x^1} = x^{2-1} =x^1$

$\frac{x^5}{x^3} =x^{5-3} = x^2$

8 0

3 years ago

Subtract fraction and simplify if needed

Harrizon [31]

First you need to find the common denominator. both 6 and 7 go in to 42 evenly

multiply 5/6 by 7 to get 35/42
multiply 2/7 by 6 to get 12/42
subtract 12 from 35 to get 23

23/42

6 0

3 years ago

What is the supplement of a 95° angle

ivanzaharov [21]

Supplement is 180- angle
180-95 = 85

5 0

3 years ago

Read 2 more answers

Eugenia walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph

kondor19780726 [428]

Let us say distance between Eugenia's home and school is x miles.

Speed of Eugenia when she walked from home to school = 3 mph

Speed of Eugenia when she walked from school to home = 7 mph

Total time taken = 45 minutes or 0.75 hours

We know that the speed distance formula is given by:

$speed=\frac{distance}{time}$

$time=\frac{distance}{speed}$

Time taken by Eugenia when she walked from home to school = x/3 hours

Time taken by Eugenia when she walked from school to home = x/7 hours

Total time taken = x/3+x/7

So forming an equation we have,

$\frac{x}{3}+\frac{x}{7}=0.75$

Taking lcd of 7 and 3 as 21,

$\frac{7x}{21}+\frac{3x}{21}=0.75$

$\frac{10x}{21}=0.75$

10x=15.75

Dividing both sides by 10 , we have

x= 1.575

Answer: So we can say that the distance between Eugenia's house and school is 1.575 miles.

4 0

3 years ago

If a and b are independent events then it must be true that P(A|B)=P(A). TRUE OR FALSE.

Vesnalui [34]

This would be true because it shows that p equals either a or b and it also shows that p equals a which is true because it is one of the independent choices.

6 0

3 years ago

Read 2 more answers