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2 years ago

Using the order of operations, which operation in the expression 3x2-2³÷4 should be completed first

Mathematics

1 answer:

faust18 [17]2 years ago

6 0

Answer:

C. Cube 2.

Step-by-step explanation:

Using PEMDAS the first operation to be done is E (Exponent) which is

2³.

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A regular polygon has an odd number of sides. Which statement is true about the lines of reflection for the polygon that will ma

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3 years ago

What is Simplest form

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Answer:

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2 years ago

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Chad stopped and filled the car with 11 gallons of gas . he had driven 308 miles using the previous 11 gallons of gas ! How many

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3 years ago

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Choose the model that represents the function

kirill [66]

Answer:

OPTION D

Step-by-step explanation:

We have to determine which option determines the function given above.

To determine the function, just substitute the values and compare LHS and RHS.

we have $f(4) = 18$

$f(-2) = -12$

$f(0) = -2$

$f(-3) = -17$

Here, $x$ is the domain and $f(x)$ is the co-doamin.

Therefore, $x = \{4, -2, 0, -3\}$

Now, OPTION A: $f(x) = 2x - 5$

Substitute x = 4. We get f(x) = 3 $\ne$ 18.

So, OPTION A is rejected.

Similarly, OPTION B: $f(x) = 5x + 2$

Substitute x = 4. We get f(4) = 22 $\ne$ 18.

It is rejected as well.

Now, for OPTION C: $f(x) = \frac{x}{2} - 5$

Substitute x = 4. We get f(4) = -3 $\ne$ 18.

So, OPTION C is also rejected.

OPTION D: $f(x) = 5x - 2$

Substitute x = 4. We get f(4) = 18.

Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.

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3 years ago

What is the solution to the following equation? x2 + 3x + 4 = 0

andreev551 [17]

Answer:

$x=\dfrac{-3\pm \sqrt7i}{2}$

Step-by-step explanation:

The given equation is $x^{2}+3x+4=0$ .

We need to find the solution of the above equation.

The solution of an equation $ax^2+bx+c=0$ is :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

We have, a = 1, b = 3 and c = 4

$x=\dfrac{-3+ \sqrt{(3)^2-4(1)(4)} }{2}, \dfrac{-3- \sqrt{(3)^2-4(1)(4)} }{2}\\\\=\dfrac{-3+\sqrt{9-16}}{2}, \dfrac{-3-\sqrt{9-16}}{2}\\\\=\dfrac{-3\pm \sqrt7i}{2}$

So, the solution of the given equation is $\dfrac{-3\pm \sqrt7i}{2}$ .

5 0

3 years ago