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Alika [10]
3 years ago
12

Consider these functions

Mathematics
1 answer:
Evgen [1.6K]3 years ago
7 0
<h3>Answer:  D) 31</h3>

==========================================================

Explanation:

The expression g(f(2)) has f(2) as the inner function.

Let's compute f(2)

This means we plug x = 2 into the f(x) function

f(x) = 4x^3 - 10

f(x) = 4(x)^3 - 10

f(2) = 4(2)^3-10

f(2) = 4*8-10

f(2) = 32-10

f(2) = 22

Now we'll plug this into the g(x) function

This is because g(f(2)) = g(22). I've replaced f(2) with 22

So,

g(x) = (3x-4)/2

g(22) = (3*22-4)/2

g(22) = (66-4)/2

g(22) = 62/2

g(22) = 31

Therefore, g(f(2)) = 31

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Please help
AysviL [449]

The coordinates (-2, -2.5) and  (-1, -1) are satisfying the equation so pairs (A) and (B) will be correct.

<h3>What is the equation?</h3>

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

Given the equation,

3x= 2y - 1

To know which coordinate satisfies the equation we need to put one by one all three coordinate,

Coordinate (A) ⇒ A) (-2, -2.5)

3(-2) = 2(-2.5) - 1 ⇒ -6 = -6 so it is satisfying.

Coordinate (B) ⇒ B) (0, -0.5)

3(0) = 2(-0.5) - 1 ⇒ 0 ≠ -2 so it is not satisfying.

Coordinate (C) ⇒C) (-1, -1)

3(-1) = 2(-1) - 1 ⇒ -3 = -3 so it is also satisfying.

Hence "The pair (-2, -2.5) and  (-1, -1) are satisfying".

For more about the equation,

brainly.com/question/10413253

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3 0
2 years ago
Write an expression so that the product of a whole number and a decimal is.0.28
Naddik [55]

.11+.17=.28

sorry if this is wrong i didn't know if you wanted algebraic form or not

8 0
3 years ago
Given the rectangle below, write a simplified expression that represents the perimeter and terms of x. Use your expression to so
Tatiana [17]

The expression representing the perimeter is 6x + 39

x = 3. 8

<h3>What is the perimeter?</h3>

The formula for perimeter of a rectangle is given as;

Perimeter = 2 ( length + width)

From the image shown, we have that:

  • length = 2x
  • width = x + 13

Now, let's substitute the value

Perimeter = 2 ( 2x + x + 13)

collect like terms

Perimeter = 2 ( 3x + 13)

Expand the bracket

Perimeter = 6x + 39

If perimeter = 62

62 = 6x + 39

6x = 62 - 39

6x = 23

x = 23/ 6

x = 3. 8

Thus, the expression representing the perimeter is 6x + 39

Learn more about perimeter here:

brainly.com/question/24571594

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7 0
2 years ago
ILL GIVE BRAINLIEST!! ANSWER PLEASEEE :,((
katovenus [111]

Answer:

5600*.065=364

5600+364=$5964 in the account at the end of the year.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The space shuttle flight control system called PASS (Primary Avionics Software Set) uses four independent computers working in p
Ierofanga [76]

Answer:

f(x) = P(X≤4) = 4Cx * 0.0005^x * 0.9995^(4-x)

Step-by-step explanation:

Given

The range of values is given as {0,1,2,3,4}

Because any computer can fail.

Given that the failure of the computers are independent and

The probability of failure is given as 0.0005.

Cumulative Distribution Function is the the probability that a random variable is less than or equal to a specific value

So, we'll take the binomial effect into consideration.

It is given as

f(x) = P(X ≤ x) = 4Cx * 0.0005^x * (1 - 0.0005)^(4 - x)

f(x) = P(X≤4) = 4Cx * 0.0005^x * 0.9995^(4-x)

6 0
4 years ago
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