MATHEMATICS MIDDLE SCHOOL

Given (x) - 3x-1 and g(x)=2x-3, for which value of x does g(x) = f(2)?
0910

Answers

Answer 1

Answer:

Question:

Given f(x) = 3x-1 and g(x)=2x-3, for which value of x does g(x) = f(2)?

Answer:

The value of x is 4 for g(x) = f(2)

Solution:

Given that,

$f(x) = 3x-1\n\ng(x) = 2x - 3$

We have to find the value of "x" such that g(x) = f(2)

Let us first find f(2)

Substitute x = 2 in f(x) function

$f(x) = 3x-1\n\nf(2) = 3(2) - 1\n\nf(2) = 6 - 1 = 5$

Thus f(2) is 5

Now find: g(x) = f(2)

Equate given function of g(x) and f(2) which is found to be 5

$g(x) = f(2)\n\n2x - 3 = 5\n\n\text{Move the constants to other side }\n\n2x = 5 + 3\n\n2x = 8\n\n\text{Divide both sides of equation by 4 }\n\nx = 4$

Thus for x = 4 , we get g(x) = f(2)

Related Questions

Please answer 123 and show work thanks
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The sum of three consecutive numbers is 57. What is the largest of these numbers?18192021
Help me with equations
Fraction 33/100 as decimal

Please help!

I dont understand this

Answers

You must have learned "Order of Operations" or PEMDAS by now,
because that's what this whole question is talking about.

Look at the one in the first box:

32 ÷ 4² + 35 - 20 ÷ 5

You know how to do 4², and you know how to do 20÷5, and you know
how to do 4²+35, and you know how to do 35-20 .

But which one should you do first ? ! ?

pEmdas . . . do exponents. 4² = 16

Now you have 32÷16 + 35 - 20÷5

pemDas . . . do division. 32÷16 = 2

   and 20÷5 = 4

Now you have 2 + 35 - 4

pemdAs . . . do addition: 2 + 35 = 37

Now you have    37 - 4

pendaS . . . Do subtraction:    37 - 4 = 33 .

That's the whole ugly thing in the first box. It's 33 .

Do the other two boxes the same way. Then you'll have a single number
for each box. Then just line up the three numbers in the order of their size.

This is all just one big PEMDAS exercise. If you do the operations in the
wrong order in one of the boxes, then you'll get the wrong number in that box.

What's 2/5 x -125/8?

Answers

2/5 x -125/8
0.4 x -15.625

The answer is: -6.25

Please help me sole for Z

x=y+z solve for z

Answers

Just subtract 'y' from each side of the equation. Then it says x-y = z .

What is the reciprocal of 3 1/4?

Answers

By using the concept of reciprocal of fraction, the result obtained is -

Reciprocal of $3(1)/(4)$ is $(4)/(13)$

What is reciprocal of a fraction?

At first, it is important to know about fraction.

Suppose there is a collection of objects and a part of the collection has to be taken. The part which is taken is called fraction. In other words, part of a whole is called fraction.

The upper part of the fraction is called numerator and the lower part of the fraction is called denominator.

For example: $(4)/(7)$ is a fraction. Here, 4 is the numerator of the fraction and 7 is the denominator of the fraction.

Let p be a fraction. Reciprocal of p is a fraction in which if the fraction is multiplied by p, the result obtained is 1 (multiplicative identity)

Here,

$3(1)/(4) = (13)/(4)$

Let the reciprocal of $(13)/(4)$ be x

$(13)/(4) * x = 1\n\n13x = 1* 4\n\n13x = 4\n\nx = (4)/(13)$

Reciprocal of $3(1)/(4)$ is $(4)/(13)$

To learn more about fraction, refer to the link-

brainly.com/question/17220365

#SPJ2

if u calculate 3 1/4 u would get 13/4

This means to get the reciprocal fraction of 13/4 just turn it upside down like this

13/4= 4/13 so ur answer is 4/13

Which inequality is graphed on the number line shown? A.

x > –3

B.

x ≤ –3

C.

x < –3

D.

x ≥ –3

Answers

The graph is to the left of -3, so it's < or ≤.
The circle is filled in so -3 also satisfies the inequality, so it's ≤.
The answer is B. x≤-3.

Answer:

The answer is B. x≤-3.

Step-by-step explanation:

The graph is to the left of -3, so it's < or ≤.

The circle is filled in so -3 also satisfies the inequality, so it's ≤.

hope i helped

In the spinner below the large wedges are twice the size of the smaller ones. What is true about the probability of landing on 6 and the probability of landing on 5?

Answers

Answer:

Step-by-step explanation:

If we take each small section to be "1" unit, we can say the large sections (for "2" and "5") are "2" units each. So in total there will be 8 sections.

Since 5 is "2" sections, we can say:

P(5) = 2/8 = 1/4

And 6 is "1" section, so we can say:

P(6) = 1/8

Definitely, Probability of landing a 6 is HALF that of probability of landing a 5. Also we can see this is the picture.

So, from the answer choices, A is right.

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Which statement best explains whether y = 2x − 3 is a linear function or a nonlinear function? It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line. It is a nonlinear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are not on a straight line. It is a linear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are on a straight line. It is a nonlinear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are not on a straight line.

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