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Jobisdone [24]
2 years ago
9

Use 2 points to write an equation for each function. Exponential functions.

Mathematics
1 answer:
8_murik_8 [283]2 years ago
6 0
y=ma^x\\\\(0;\ 10)\to m\cdot a^0=10\to m=10\\\\y=10a^x\\\\(1;\ 20)\to 10a^1=20\ \ \ |:10\\a=2\\\\\boxed{y=20\cdot2^x}\\\\check:\\(-2;\ 2.5)\to2.5=10\cdot2^{-2}\\\\2.5=10\cdot\dfrac{1}{2^2}\\\\2.5=10\cdot\dfrac{1}{4}\\\\2.2=2.2\ correct\ :)\\\\(2;\ 40)\to40=10\cdot2^2\\\\40=10\cdot4\\\\40=40

Answer:\boxed{y=10\cdot2^x}
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A fifth-degree polynomial equation with rational coefficients has the roots 3, 8i, and 7- radical 5. Which are also roots of the
Sliva [168]

Using <u>complex numbers and radicals</u>, it is found that the correct option is C.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

  • Hence, since 8i is a root of the function, -8i is also a root.

The same is valid for radicals, as they are in the \pm format.

  • Since 7 - \sqrt{5} is a root, 7 + \sqrt{5} is also a root.

Hence, option C is correct.

For more on <u>complex numbers and radicals</u>, you can check brainly.com/question/25173944

8 0
2 years ago
Solve ? <br><br>-4-4(-x-1)=-4(6+2x)​
soldier1979 [14.2K]

-4-4(-x-1)=-4(6+2x)\\\\-4+4x+4=-24-8x\\\\4x=-24-8x \ \ /+8x\\\\12x=-24 \ \ /:12\\\\\huge\boxed{x=-2}

7 0
3 years ago
For his long distance phone service, Keith pays a $3 monthly fee plus 11 cents per minute. Last month, Keith's long distance bil
Allushta [10]

The number of minutes for which Keith was billed = 97

Step-by-step explanation:

Step 1:

It is given that Keith pays a fixed fee of 3$ a month and 11 cents per minute  for the number of minutes used.

Total cost = Fixed cost + Per minute cost

If x represents the number of minutes consumed in a month then we can compute the total cost using the below equation:

Total cost = 3$ + 0.11 * x

Step 2:

The total cost is 13.67$

Substituting in the equation we get

13.67 = 3 + 0.11 * x

x = 10.67 / 0.11 = 97 minutes

Step 3:

Answer:

The number of minutes for which Keith was billed = 97

3 0
3 years ago
Help please help me
BARSIC [14]

Step-by-step explanation:

if you're looking for x

x=180-42-51= 87°

and if you're looking for D

D= 180-42= 138°

7 0
3 years ago
144 fl oz = how many cups
scoray [572]
The answer is 18 cups. 8fl=1cup. 144/8=18cups
5 0
2 years ago
Read 2 more answers
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