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Burka [1]
3 years ago
15

How to solve for 3x - 24 = 81

Mathematics
2 answers:
VladimirAG [237]3 years ago
6 0

Answer:

35

Step-by-step explanation:

3x=81+24

3x=105

x=35

Vsevolod [243]3 years ago
4 0

Answer:

=35

Step-by-step explanation:

3−24=81

Solve Add 24 to both sides of the equation 3−24=81 3x-24=81 3−24+24=824

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Which graph represents the function f(x) = |x + 3|?
Sophie [7]
Answer: (B)
Explanation: If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.

But a more intuitive way is to determine what happens during each transformation.
A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.

Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.
What happens to the graph?
Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).

What about the y = |x| + h graph?
Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.

So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.
6 0
4 years ago
Read 2 more answers
Sherry earns an hourly wage plus a bonus for each day’s work. She uses the equation 10.5h + 50 to represent the total amount she
noname [10]

the answer is c..................

7 0
3 years ago
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In a certain clinical study, 15% of participants were classified as heavy smokers, 25% as light-smokers, and the rest as non-smo
Natasha_Volkova [10]

Answer:

There is a 28.57% probability that a randomly selected participant who died by the end of the study was a non-smoker.

Step-by-step explanation:

We have the following probabilities:

A 15% probability that a participant is classified as a heavy smoker.

A 25% probability that a participant is classified as a light smoker.

A 100% - 25% - 15% = 60% probability that a participant is classified as a non smoker.

A x% probability that a non smoker dies.

A 3x% probability that a light smoker dies.

A 5x% probability that a heavy smoker dies.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

This problem is:

What is the probability of the participant being a non-smoker, given that he died?

P(B) is the probability that the participant is a non smoker. So

P(B) = 0.6

P(A/B) is the probability that the participant dies, given that he is a non smoker. So:

P(A/B) = x

P(A) is the probability that the participant dies:

P(A) = P_{1} + P_{2} + P_{3}

P_{1} is the probability that a heavy smoker is selected and that he dies. So:

P_{1} = 0.15*5x = 0.75x

P_{2} is the probability that a light smoker is selected and that he dies. So:

P_{2} = 0.25*3x = 0.75x

P_{3} is the probability that a non-smoker is selected and that he dies. So:

P_{3} = 0.60*x = 0.60x

The probability that a participant dies is:

P(A) = P_{1} + P_{2} + P_{3} = 0.75x + 0.75x + 0.60x = 2.10x

The probability of the participant being a non-smoker, given that he died, is:

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.6x}{2.10x} = \frac{0.6}{2.10} = 0.2857

There is a 28.57% probability that a randomly selected participant who died by the end of the study was a non-smoker.

7 0
3 years ago
When you find f(2) for a given function f, you are finding the y value associated with x= 2
sveticcg [70]

Answer:

The provided statement is TRUE.

Step-by-step explanation:

The function <em>f</em> is an expression in variable <em>x</em>.

The entire expression can either be denoted by f (x) or <em>y</em>.

For instance consider the quadratic expression:

f (x) = ax² + bx + c

≡ y = ax² + bx + c

So, on computing the value of f (2), it implies that we are computing the value of y for <em>x</em> = 2.

Thus, the provided statement is TRUE.

4 0
3 years ago
I need the answer in it’s simplest form
Lina20 [59]

3/4 changed to 6/8 makes it a 7/8 when adding making this most simplified into 7/8

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