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Inessa05 [86]
2 years ago
9

For this exponential function,

Mathematics
1 answer:
Kryger [21]2 years ago
3 0

Output value (y) of the y = 1.157.exponetial functio9n when x = 3 is: (3, 1,250).

<h3>What is an Exponential Function?</h3>

An exponential function is a type of function that has a constant that is raised to a given power. It is expressed as y  = a^x.

Given the exponential function, y = 10 \times 5^x

When x = 3, thus:

y = 10 \times 5^3\\\\y = 1,250

Therefore, output value (y) of the y = 1.157.exponetial function when x = 3 is: (3, 1,250).

Learn more about exponential function on:

brainly.com/question/2456547

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What is the product of 5−2i and 3−4i?<br> Enter your answer, in standard form, in the box
Lelechka [254]

Answer:

\boxed{7-26i}

Step-by-step explanation:

The binomials are multiplied in the usual way, using FOIL or the distributive property:

  (5 -2i)(3 -4i) = 15 -20i -6i +8i²

Since i² = -1, this becomes ...

  = 15 -20i -6i -8 = 7 -26i

7 0
3 years ago
The cost of 2pounds if potatoes is $3.78 what is the constant of proportionality that represents the relationship between the co
Nana76 [90]

Answer:

The constant of proportionality is 1.89

Step-by-step explanation:

2 pounds = $3.78

1 pound = $3.78/2 = $1.89

Cost y is directly proportional to the pound of potato

y = 1.89x

The constant of proportionality is the cost of 1 pound of potato, and it is 1.89

7 0
3 years ago
I'm new to this and I dont really understand this
agasfer [191]

Answer:

So starting off with 1a f(4)

We simply substitute x with 4 for the function

f(4)=2(4)-5

f(4)=8-5

f(4)=3

Next 1b, here it's a little different since you have to multiply the functions I think ( please correct me if I'm wrong).

gf(4), basically means functions g and f are being multiplied and their variables are being substituted with 4.

g(4)=4^2+3

g(4)=16+3

g(4)=19

and we also know from before that f(4)=3, so we'll do 19 times 3 which is 57

For the next two, I may be wrong, but I'm still going to try:

anything to the power of a negative is a fraction so for f^-1(x)=2x-5 we'll have 1/f(x)=x/2+5/2

And then for g^-1, we'll have 1/g(x)=\sqrt{x-3}  \sqrt{x-3}

Hope I helped :)

5 0
2 years ago
A number, x, rounded to 2 significant figures is 1300<br>Write down the error interval for x.​
nikitadnepr [17]

Answer:

[1250,1350).

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., 1250\leq x\leq 1300     ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., 1300\leq x       ...(2)

On combining (1) and (2), we get

1250\leq x < 1350

1350 is not included in the error interval for x.​

Interval notation is [1250,1350).

Therefore, the error interval for x is [1250,1350).

7 0
3 years ago
Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at lea
lbvjy [14]

Answer:

(0, 33)   : Yes

(4.8,  30.5)  : Yes


Step-by-step explanation:

height of at least 24 ft :  y >= 24

horizontal distance of no more than 10 ft. : 0 <= x <= 10

The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.:

y >=  3x and y <= 33

So Constraints:

24 <= y <= 33

y >= 3x

0 <= x <= 10

Now check to see if those coordinate points meet all the constraints

(0, 33)   : Yes

(4.8, 30.5)  : Yes

(9, 26)  : No (because 26 is less than (3 * 9) = 27)

(4, 36) : No (because 36 > 33,  must be 24 <= y <= 33)

(2, 22): No (because 22 <24,  must be 24 <= y <= 33)

5 0
3 years ago
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