All categories

3 years ago

What is the y intercept and slope and the linear equation for this?

Mathematics

1 answer:

shutvik [7]3 years ago

6 0

Y int: (0, 0)
slope: 3/4

You might be interested in

A particle moves along the x-axis so that at time t ≥ 0 its position is given by x(t) = 2t3 - 21t2 + 72t - 53. At what time t is

Zepler [3.9K]

Step-by-step explanation:

The particle is at rest when the derivative of x(t), which is its velocity, is zero, i.e.,

$\dfrac{d}{dt}[x(t)] = \dot{x}(t) = 0$

Since $x(t) = 2t^3 - 21t^2 + 72t - 53,$ its derivative is

$\dot{x}(t) = 6t^2 - 42t + 72$

Equating this to zero, we get

$6t^2 - 42t + 72 = 0 \Rightarrow t^2 - 7t + 12 = 0$

This is a familiar quadratic equation whose roots are

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

$\;\;\;= \dfrac{7 \pm \sqrt{(7)^2 - 4(1)(12)}}{2}$

$\;\;\;= \dfrac{7 \pm 1}{2}$

$\;\;\;= 3\;\text{and}\;4$

This means that the particle will be at rest at t = 3 and t= 4.

8 0

3 years ago

What is cos 45 degrees in simplified radical form?

Ostrovityanka [42]

<u>Answer:</u>

The value of cos 45 degrees in simplified radical form is 0.70710 approximately.

<u>Solution:</u>

Given, Cos of angle 45 degrees.

We have to find the value of the Cos of 45 degrees in radical form.

From trigonometric ratios,

Cos of angle 45 degrees = cos ⁡45 = $\frac{1}{\sqrt{2}}$

Multiplying numerator and denominator with square root of 2

$\begin{array}{l}{=\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}} \\\\ {=\frac{1 \times \sqrt{2}}{\sqrt{2} \times \sqrt{2}}} \\\\ {=\frac{\sqrt{2}}{(\sqrt{2})^{2}}} \\\\ {=\frac{\sqrt{2}}{2}}\end{array}$

The value of square root of 2 is 1.414213

$=\frac{1.414213}{2}=0.70710$

Hence, the value of Cos of angle 45 degrees is 0.70710 approximately

6 0

4 years ago

bill can answer 41 math questions every 20 minutes how many math questions can he answer in 40 minutes and 80 minutes

Annette [7]

20 minutes × 2 = 40 minutes
41 questions × 2 = 82 questions

40 minutes × 2 = 80 minutes
82 questions × 2 = 164 questions

6 0

3 years ago

Read 2 more answers

mrs. robinson bought a novel at bookstore on sale for 20% off its regular price of $ 29.99.mr. chang bougth the same novel at a

agasfer [191]

29.99-20%= 23.99
25.00-10%= 22.50 so, Mr.chang got the better deal ( but not by much.)

4 0

4 years ago

Read 2 more answers

2. A scuba diver was exploring a reef 39.6 m below sea level. The diver ascended to the surface at a rate of 8.8

Art [367]

Answer:

a because bc brainly is dumb report me get me banned

Step-by-step explanation:

3 0

4 years ago