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3 years ago

Solve the equation. 3x^2+4x+5=0

Mathematics

1 answer:

Daniel [21]3 years ago

5 0

<em>Use the Quadratic Formula </em>

x = -4 + 2 √11i/6, -4 - 2√11i/6

<em>Simplify solutions </em>

x = - 2 - √11i/3, - 2 + √11i/3

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Jasmine is part of a bowling league and wants to beat the team record of an average score of 240 out of 300 possible points per

hoa [83]

Answer:

her score in sixth game is 270

Step-by-step explanation:

The computation of the Jasmine score in her sixth game is shown below:

Let us assume her sixth game score is x

And, the first five games are 252, 227, 210, 239, 242

And, the average score is 240

So, the following formula should be used

(252 + 227 + 210 + 239 + 242 + x) ÷ 6 = 240

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Hence, her score in sixth game is 270

6 0

3 years ago

∠A and ∠B are vertical angles. If m ∠A=(2x+26)∘ and ∠B=(3x−29)∘, then find the measure of ∠A.

Leya [2.2K]

The measure of angle (m ∠A) is 136°

<h3>Vertical angles theorem</h3>

From the question, we are to find the measure of angle A

From the given information, we have that

∠A and ∠B are vertical angles

Thus

∠A = ∠B

and

Also, from the given information,

m ∠A=(2x+26)°

and

m ∠B= (3x−29)°

∴ (2x+26)° = (3x−29)°

Now, solve for x

2x + 26 = 3x - 29

26 + 29 = 3x - 2x

55 = x

∴ x = 55

But measure of angle A is given by

m ∠A=(2x+26)°

Put the value of x into the equation,

m ∠A=(2(55)+26)°

m ∠A=(110+26)°

m ∠A = 136°

Hence, the measure of angle (m ∠A) is 136°

Learn more on Vertical angle theorem here: brainly.com/question/24839702

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2 years ago

Given r(x) = startfraction 11 over (x minus 4) squared endfraction , which represents a domain restriction on r(x) and the corre

Dmitry_Shevchenko [17]

The domain and inverse of the function

$r(x) = \frac{11}{(x - 4)^2}$ is

Domain = $\mathbb{R} - \{4\}$ ,

$r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4$

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

The given function is

$r(x) = \frac{11}{(x - 4)^2}$

r(x) is not defined if x - 4 = 0

r(x) is not defined for x = 4

Domain = $\mathbb{R} - \{4\}$ ,

Where $\mathbb{R}$ is the set of all real number

Let r(x) = y

$\frac{11}{(x-4)^2} = y\\(x - 4)^2 = \frac{11}{y}\\x - 4 = \pm \sqrt{\frac{11}{y}}\\x = \pm\sqrt{\frac{11}{y}} +4$

<em /> $r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4$

To learn more about function, refer to the link:

brainly.com/question/22340031

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1 year ago