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3 years ago

What is 69+48+57+70+66

Mathematics

2 answers:

kondaur [170]3 years ago

5 0

The answer to your math equation is 310

nikdorinn [45]3 years ago

4 0

The answer would be 310.

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A quadratic function is given. f(x) = 1 + x − 7 x2 (a) Use a graphing device to find the maximum or minimum value of the quadrat

Virty [35]

Answer:

a) $P (x,y) \approx (0.1,1.05)$ , b) $P(x,y) = (0.07,1.04)$ .

Step-by-step explanation:

a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.

$P (x,y) \approx (0.1,1.05)$

b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:

$f'(x) = 1 - 14\cdot x$

$f''(x) = -14$

The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:

$1 - 14\cdot x = 0$

$x = 0.07$

According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:

$y = 1 +0.07-7\cdot (0.07)^{2}$

$y = 1.04$

The exact solution is $P(x,y) = (0.07,1.04)$ , indicating that graphic solution leads to a good approximation.

6 0

4 years ago

In simplest radical form, what are the solutions to the quadratic equation 0 = –3x2 – 4x + 5? Quadratic formula: x = StartFracti

weqwewe [10]

The solutions of the quadratic equation 0 = -3x² - 4x + 5 are

$x=\frac{-2-\sqrt{19}}{3}$ and $x=\frac{-2+\sqrt{19}}{3}$

Step-by-step explanation:

The quadratic formula of the quadratic equation ax² + bx + c = 0, is

$x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}$

To find the solution of the quadratic equation by using quadratic formula

Find the values of a, b, and c from the quadratic equation
Substitute these values in the quadratic formula
Calculate the values of x

∵ -3x² - 4x + 5 = 0

∴ a = -3 , b = -4 and c = 5

- Substitute these values in the quadratic formula

∵ $x=\frac{-(-4)+\sqrt{(-4)^{2}-4(-3)(5)}}{2(-3)}$

∴ $x=\frac{4+\sqrt{16+60}}{-6}$

∴ $x=\frac{4+2\sqrt{19}}{-6}$

- Simplify by dividing up and down by -2

∴ $x=\frac{-2-\sqrt{19}}{3}$

∵ $x=\frac{-(-4)-\sqrt{(-4)^{2}-4(-3)(5)}}{2(-3)}$

∴ $x=\frac{4-\sqrt{16+60}}{-6}$

∴ $x=\frac{4-2\sqrt{19}}{-6}$

- Simplify by dividing up and down by -2

∴ $x=\frac{-2+\sqrt{19}}{3}$

The solutions of the quadratic equation 0 = -3x² - 4x + 5 are

$x=\frac{-2-\sqrt{19}}{3}$ and $x=\frac{-2+\sqrt{19}}{3}$

Learn more:

You can learn more about quadratic equation in brainly.com/question/7361044

#LearnwithBrainly

9 0

3 years ago

Read 2 more answers

Which formula can we use to find the circumference of a circle?

Ira Lisetskai [31]

Answer:

$c = \pi d$

circumference = pi * diameter

3 0

3 years ago

Line m passes through point (2,-7) and (4,-9). Line m is parallel to which line?

Reil [10]

As the slope is -1, so any line that has the same slope is parallel.

<u>Solution:</u>

Given points (2, -7) and (4, -9) find the slope, m:

$m = \frac{y - y_1}{x - x_1}$

$\Rightarrow m = \frac{-7 - (-9)}{2 - 4}$

$m = \frac{-7 + 9}{-2}$

$m = \frac{2}{-2}=-1$

Any line that has the same slope is parallel.

5 0

4 years ago

The graph of the function f(x)=(x+2)(x+6)

Andrew [12]

Hello : here is the graph

8 0

3 years ago