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3 years ago

Consider the sequence -3, -7,-11, -15...

Mathematics

1 answer:

Alina [70]3 years ago

7 0

Yes, this is a function and a rule could be y=-4x+1

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Factor the polynomial expression 4x2 +9.

Yanka [14]

Answer:

Step-by-step explanation:

Factor it by first setting it equal to 0:

$4x^2+9=0$ Now subtract 9 from both sides:

$4x^2=-9$ Divide both sides by 4:

$x^2=-\frac{9}{4}$ Then take the square root of both sides:

x = ± $\sqrt{-\frac{9}{4} }$ , which of course is not allowed. Therefore, we have to allow for the imaginary numbers in this solution. Knowing that,

x = ± $\sqrt{-1*\frac{9}{4} }$ is an equivalent radicand, we can now replace -1 with its imaginary counterpart:

x = ± $\sqrt{i^2*\frac{9}{4} }$

Each one of the elements in the radicand are perfect squares, so we simplify as follows:

x = ± $\frac{3}{2}i$

And there you go!

3 0

3 years ago

Please answer #5 A-C!

Cloud [144]

Answer:a

Step-by-step explanation:I know

4 0

4 years ago

Victoria has a points card for a movie theater.

SVETLANKA909090 [29]

Answer: she needs to go 12 times

Step-by-step explanation:

7 0

3 years ago

Find the volume of a cone with a base radius of 6 cm and a height of 10 cm write in terms of pie

Savatey [412]

Answer:

Volume of the cone is 120 π cm³

Step-by-step explanation:

Given that Base radius of cone is 6 cm and height is 10 cm and we need to find volume of the cone. Volume of cone is given by:

$\\ \: \: \dashrightarrow \: \: \: \underline{\boxed{\pmb{\sf{Volume_{(cone)} = \dfrac{1}{3} \pi r^2 h }}}} \\ \\$

On Substituting the required values, we get:

$\\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1}{3} \times \pi \times {(6)}^{2} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1} {\cancel{3}} \times \pi \times \cancel{36} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \pi \times 12 \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: \: { \purple{Volume_{(cone)} =120 \pi \: cm^3 }}\\ \\$

Volume of a cone is 120 π cm³

6 0

2 years ago

Which of the following is the minimum value of the equation y = 3x^2 − 4x − 2?

KonstantinChe [14]

Answer:

-3 1/3

Step-by-step explanation:

The quadratic

... y = ax² +bx +c

has its extreme value at

... x = -b/(2a)

Since a = 3 is positive, we know the parabola opens upward and the extreme value is a minimum. (We also know that from the problem statement asking us to find the minimum value.) The value of x at the minimum is -(-4)/(2·3) = 2/3.

To find the minimum value, we need to evaluate the function for x=2/3.

The most straightforward way to do this is to substitue 2/3 for x.

... y = 3(2/3)² -4(2/3) -2 = 3(4/9) -8/3 -2

... y = (4 -8 -6)/3 = -10/3

... y = -3 1/3

_____

Confirmation

You can also use a graphing calculator to show you the minimum.

5 0

3 years ago