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3 years ago

Find the domain and range

Mathematics

1 answer:

LiRa [457]3 years ago

6 0

Answer:

Domain: x = all reals

Range: y is less than or equal to -4

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Use the quadratic formula to solve for the roots of the following equation. x 2 – 4x + 13 = 0

Artyom0805 [142]

Quadratic Formula: $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , with a = x^2 coefficient, b = x coefficient, and c = constant

With our equation, plug in the values:

$x=\frac{4\pm \sqrt{(-4)^2-4*1*13}}{2*1}$

Next, solve the exponent and multiplications:

$x=\frac{4\pm \sqrt{16-52}}{2}$

Next, solve the subtraction:

$x=\frac{4\pm \sqrt{-36}}{2}$

Next, factor out i (i = √-1):

$x=\frac{4\pm \sqrt{36}i}{2}$

Next, solve the square root:

$x=\frac{4\pm 6i}{2}$

Lastly, divide and your answer is:

$x=2\pm 3i$

5 0

3 years ago

Read 2 more answers

After Squints gets the team banned from the pool, the guys from the Sandlot decide they need to build their own pool. They decid

pishuonlain [190]

Answer:

525 truckloads

Step-by-step explanation:

First we need to find the volume of the pool. This lets us know how much dirt must be moved.

25*19*5 = 2,375 cubic feet total.

Divide that by 4.53 cubic feet for each load, and we get 524.282 truckloads. Round up to the nearest integer for a final answer of 525 truckloads.

7 0

3 years ago

X^lg(x)=100^x find x

Wittaler [7]

$x^lg(x)=100^x$

$X^lg(x)=100^x:x$ $|Solve \ for \ x|$

$|Use \ logarithms \ of \ both \ sides \ of \ the \ base \ 10|

$

$lg (x ^ lg (x)) = lg (100x)

$

$lg ^ 2 (x) = 2 + lgx$

$lg 2 ^ x-lg x -2 = 0$

$lg x = 2 x = 100$

$lg x = -1 x = \dfrac{1}{10} = 0.1$

3 0

3 years ago

Starts with z and cube it

OlgaM077 [116]

Cubed means you have to multiply it by the other number like an exponent so that means the answer is z3

8 0

3 years ago

Here's the revenue and expenses for the month. Calculate whether Mia had a profit or loss.

Oksanka [162]

Answer:350

Step-by-step explanation:

Just take away 9,550 - 9,200 = 350

3 0

3 years ago