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3 years ago

Math question I need help with

Mathematics

1 answer:

muminat3 years ago

3 0

Let's you and me discuss a few things that you already know:

-- What's a y-intercept ?
The y-intercept on a graph is the place where it crosses the y-axis.

-- That's the value of 'x' at the y-intercept ?
The y-intercept is on the y-axis, so 'x' is zero there.

-- Good ! So how would you find the y-intercept of a function ?
You say that x=0 and look at what 'y' is.

-- Very nice. What's the function in this question ?
The function is

   f(x) [or 'y'] = x⁴ + 4x³ - 12x² -32x + 64 .

-- Excellent. What's the value oif that function (or 'y') when x=0 ?

   It's just 64 .

-- Beautiful.
   Are there any answer choices that cross the y-axis at 64 ?
   How many are there ?

   There's only one.
   It's the upper one on the right hand side.

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Answer:

7.14

Step-by-step explanation:

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2 years ago

Read 2 more answers

Show Work Please Thank You

Misha Larkins [42]

Answer:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

Step-by-step explanation:

We are given the trigonometric equation of:

$\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}$

Let u = 4x then:

$\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}$

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

$\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}$

Convert u-term back to 4x:

$\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}$

Divide both sides by 4:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.

Therefore:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

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1 year ago

The growth of a strain of bacteria can be modeled by the function graphed, where the x-values are the time in seconds and the y-

Andrew [12]

There are (A) 2.7 bacterias initially.

<h3>What is a function?</h3>

A function is an expression that establishes the relationship between the dependent and independent variables.
A function from a set X to a set Y allocates exactly one element of Y to each element of X.
The set X is known as the function's domain, while the set Y is known as the function's codomain.
Originally, functions were the idealization of how a variable quantity depends on another quantity.

To find the number of bacteria:

The graph shows that the function follows an exponential curve, and the starting point is at ( 0,2.7 ).
The starting number of bacteria is then 2.7.

Therefore, there are (A) 2.7 bacterias initially.

Know more about functions here:

brainly.com/question/25638609

#SPJ4

The correct question is given below:
The growth of a strain of bacteria can be modeled by

the function graphed, where the x-values are the time

in seconds and the y-values are the number of

bacteria. How many bacteria are there initially?

(A) 2.7

(B) 2.8