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3 years ago

1. The equation M=32G represents the average number of miles, M, that a car can go on G gallons

Mathematics

1 answer:

inysia [295]3 years ago

4 0

Answer:

7AM has been the most popular and most loyal to get the most attention in the country for a while and it has been the

Step-by-step explanation:

66and has a market value for a single currency and i think I got to be a bit more stuff like this and I'm still in a while I hi

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Find the solutions to x⁴-64=0 and the x-intercepts of the graph of y=x⁴-64.

Setler [38]

Answer:

1. $x_1=2\sqrt{2}\\x_2=-2\sqrt{2}\\x_3=i2\sqrt{2}\\x_4=-i2\sqrt{2}$

2. $A=(2\sqrt{2},0)$ and $B=(-2\sqrt{2},0)$

Step-by-step explanation:

We have the expression $x^4-64=0$ to find the solutions we have to clear $x$ . Then,

$x^4-64=0$ Add 64 in both sides of the equation.

$x^4-64+64=64\\x^4=64$

Now we have to re-write the equation:

$u=x^2$ ⇒ $u^2=(x^2)^2\\u^2=x^4$

Then,

$u^2=64$

Apply square root on both members

$\sqrt{u^2}=\sqrt{64}\\u=8 , u=-8$

Now substitute back $u=x^2$

1. $x^2=8$

2. $x^2=-8$

Solving for x:

1. $x=+\sqrt{8}=\sqrt{2^3}=\sqrt{2^2}.\sqrt{2}\\x=2\sqrt{2}\\or\\x=-\sqrt{8}\\x=-2\sqrt{2}$

2. $x=+\sqrt{-8}=\sqrt{(-1).8} =\sqrt{-1}\sqrt{8} \\x=i\sqrt{8}\\x=i.2\sqrt{2} \\or\\x=-\sqrt{-8}\\x=-i.2\sqrt{2}$

Then the solutions for $x^4-64=0$ are:

$x_1=2\sqrt{2}\\x_2=-2\sqrt{2}\\x_3=i2\sqrt{2}\\x_4=-i2\sqrt{2}$

To find the x intercepts of the graph $y=x^4-64$ we have to replace with y=0.

This means: $x^4-64=0$

We already found the solutions for the expression, but we have to consider only the real solutions.

$x_1=2\sqrt{2}\\x_2=-2\sqrt{2}$

Because in a graph we can't have imaginary solutions.

Then the x intercepts of the graph are:

$A=(2\sqrt{2},0)$ and $B=(-2\sqrt{2},0)$

The graph of the function is:

3 0

3 years ago

Ms. Santiago has many pens in her desk drawer. She says that if you divide the total number of pens 1, 2, 3, 4, 5, or 6 you get

Aliun [14]

6 is the answer to the question cuz its the biggest

7 0

3 years ago

X+2y=0<br> 3x+4y=4<br><br> find the solution

Nady [450]

Answer:

(x, y) = (4, -2)

Step-by-step explanation:

The coefficient of y in the second equation is double the coefficient of y in the first. We can subtract twice the first equation from the second to eliminate y.

(3x +4) -2(x +2y) = (4) -2(0)

x = 4 . . . . . . . . . simplify

Substituting into the first equation, we have ...

4 +2y = 0

2 +y = 0 . . . . . . divide by 2

y = -2 . . . . . . . . subtract 2

The solution is (x, y) = (4, -2).

4 0

2 years ago

Brian made a tasty burger . the diameter of the Burger was 5cm. what is the radius of the circle?

4vir4ik [10]

19.625cm squared because you have to divide the diameter by 2 to get the radius.

Area of circle = pi times radius times radius

= 3.14 times 2.5 times 2.5

= 19.625cm squared

6 0

3 years ago

A sock drawer has 8 blue socks and 6 black socks. If I randomly select two socks, one at a time, what is the probability I will

MAVERICK [17]

The probability is most likely going to be

4/13

6 0

3 years ago