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2 years ago

What is the difference between a linear function and a exponential function?

Mathematics

2 answers:

Kryger [21]2 years ago

8 0

When you graph a linear function, it is a straight line ; When ou graph an exponential function, it is a curved line,

Natali [406]2 years ago

6 0

- Prove that linear functions change at the same rate over time. ... Linear functions take the form y = mx + b. An exponential function is in the form y = ax. It is easy to see the difference between a linear and exponential function on a graph.

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Find the equation of the sphere in standard form centered at (−6,10,5) with radius 5.

Dovator [93]

Answer:

The equation of the sphere in standard form is

$x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0$

Step-by-step explanation:

Step 1:-

The equation of the sphere having center and radius is

$(x-h)^{2} +(y-k)^{2} +(z-l)^{2} = r^{2}$

Given centered of the sphere is (-6,10,5) and radius r=5

$(x-(-6))^{2} +(y-10)^{2} +(z-5)^{2} = 5^{2}$

on simplification,we get

$using (a+b)^{2} =a^{2} +2 a b+b^{2}$

$using (a-b)^{2} =a^{2} -2 a b+b^{2}$

simplify , we get

$x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0$

8 0

3 years ago

Select the two values of x that are roots of this equation. 2x+11x+15= 0

Amiraneli [1.4K]

Answer:

The roots of the equation are x=-3 and x=-2.5

Step-by-step explanation:

The correct quadratic equation is

2x^2+11x+15=0

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$ is equal to

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

in this problem we have

$2x^{2} +11x+15=0$

$a=2\\b=11\\c=15$

substitute in the formula

$x=\frac{-11(+/-)\sqrt{11^{2}-4(2)(15)}} {2(2)}$

$x=\frac{-11(+/-)\sqrt{121-120}} {4}$

$x=\frac{-11(+/-)\sqrt{1}} {4}$

$x=\frac{-11(+/-)1} {4}$

$x_1=\frac{-11(+)1}{4}=-2.5$

$x_2=\frac{-11(-)1}{4}=-3$

therefore

The roots of the equation are x=-3 and x=-2.5

5 0

2 years ago

If you want to create a perfect curve, which tool would be most helpful?

luda_lava [24]

The most usfull tool would be a compas

4 0

2 years ago

Read 2 more answers

Who ever gets it right first gets brainliest

sleet_krkn [62]

Answer: Playing chess with Katie cause who'd play chess by themself right?

Step-by-step explanation:

7 0

2 years ago

Help finding angles 4, 3 ,2 ,5... Picture attached this time

Korvikt [17]

Angle 3 = 180° - 70°

Angle 3 = 110°

Angle 2 = 180° - (110° + 36°)

Angle 2 = 180° - 146°

Angle 2 = 34°

Angle 4 = 180° - 70°

Angle 4 = 110°

Angle 5 = 180° - (110° + 62°)

Angle 5 = 180° - 172°

Angle 5 = 8°

I hope this helps.

3 0

3 years ago