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2 years ago

What is the graph of the function f(x)=1/2x²×2x-6

Mathematics

1 answer:

Lesechka [4]2 years ago

4 0

Answer:

for this you can substitute as x= 0,1,2,3,4

example like

when x= 0

f(x) = 1/2x²X2x-6

f(0) = 1/2(0)² X 2(0)-6

= -6

so you can do like this and so you can draw graph through looking to the value(answer)

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Solve each equation using the quadratic formula. Find the exact solution, then approximate the solution to the nearest hundredth

Anika [276]

Answer:

$x_1=\frac{5+\sqrt{33}}{4}$ ≈2.69

$x_2=\frac{5-\sqrt{33}}{4}$ ≈-0.19

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have that the quadratic formula is:

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

2. To solve the quadratic equation you must substitute the values. So, you have that:

Rewrite the equation:

$2x^{2}-5x-1=0$

$a=2\\b=-5\\c=-1$

Then you have:

$x=\frac{-(-5)+/-\sqrt{(-5)^{2}-4(2)(-1)}}{2(2)}$

3. Therefore, you obtain the following result:

$x_1=\frac{5+\sqrt{33}}{4}$ ≈2.69

$x_2=\frac{5-\sqrt{33}}{4}$ ≈-0.19

4 0

2 years ago

Read 2 more answers

If QRS TUV, which congruences are true by CPCTC? Check all that apply.

Morgarella [4.7K]

It is given thatΔ QRS ≅Δ TUV

Out of all the given options

(D) QR =TU

(E) S = V

(F) R= U

C, D,E, F are correct options.

Because when two triangles are congruent their corresponding parts are equal.

CPCT means corresponding parts of congruent triangles.

All these options are congruent by CPCT.

Side QR is congruent to TU.

Side Q S is congruent to TV.

Angle S is Congruent to Angle V.

Angle R is congruent to Angle U.

The meaning of congruency of shapes is that the two or many more shapes are identical.

4 0

3 years ago

Read 2 more answers

Find an equation of the tangent line to the curve 2(x2+y2)2=25(x2−y2) (a lemniscate) at the point (−3,1). An equation of the tan

valina [46]

$2(x^2+y^2)^2=25(x^2-y^2)$

Let $y=y(x)$ , so that differentiating both sides wrt $x$ gives

$4(x^2+y^2)\left(2x+2y\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(2x-2y\dfrac{\mathrm dy}{\mathrm dx}\right)$

If $x=-3$ and $y=1$ , the above reduces to

$40\left(-6+2\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(-6-2\dfrac{\mathrm dy}{\mathrm dx}\right)\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac9{13}$

This is the slope of the tangent line, which has equation

$y-1=\dfrac9{13}(x+3)\implies\boxed{y=\dfrac{9x+40}{13}}$

7 0

2 years ago

Most good managers enjoy mentoring employees. Most good managers are people- oriented individuals. Assuming these two statements

velikii [3]

Yes.

"Most" must be understand as more than half.

Then more than half of the managers enjoy mentoirng employees and more than half are people oriented, then some (at least one) managers both enjoy mentoring oriented and are people oriented. Which make true that some people-oriented individuals enjoy mentoring employees.

8 0

3 years ago

Simplify the radical

katrin [286]

X^2 * 5,x^4 so B is the answer

5 0

3 years ago