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3 years ago

Help and explain pleaseeeeeeee!!!!!

Mathematics

2 answers:

alexandr402 [8]3 years ago

5 0

Answer:

The choose (a)

2x+1

Step-by-step explanation:

f(g(x)) = 2(x-3)+7

=2x-6+7

=2x+1

serious [3.7K]3 years ago

4 0

Answer:

2x+1

Step-by-step explanation:

We know that g(x)= x-3

So f(g(x))= f(x-3)

We put it in the equation :

f(x-3)= 2(x-3) +7 = 2x-6+7 = 2x +1

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A lathe is set to cut bars of steel into lengths of 6 centimeters. the lathe is considered to be in perfect adjustment if the av

Nitella [24]

The hypothesis testing for this problem is:
a. The hypothesis for this problem are:
Null: H0: μ=6
Alternative: Ha: μ≠6

b. Test
T-statistics = (6.08 - 6) / 0.44* √(121) = 2

c. P value = 0.047759

Since our p-value is smaller than the significant level of 0.05, we can say that we reject the null hypothesis.

Conclusion: there is enough evidence to say lathe is not in perfect adjustment.

4 0

4 years ago

The function g has an inverse. The function g − 1 determines the number of folds needed to give the folded paper a thickness of

Amanda [17]

Answer:

$\mathbf{g^{-1} (t) = log _2 \ 20 \ t}$

Step-by-step explanation:

Here is the full question

A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times. We'll assume we can make "perfect folds," where each fold makes the folded paper exactly twice as thick as before - and we can make as many folds as we want.

Write a function g that determines the thickness of the folded paper (in mm) in terms of the number folds made, n. (Notice that g(0) 0.05,)

$g(n )= (05)2^n$

The function g has an inverse. The function g⁻¹ determines the number of folds needed to give the folded paper a thickness of t mm. Write a function formula for g⁻¹).

<u>SOLUTION:</u>

If we represent g(n) with t;

Then

$\mathbf{t = (0.05)2^n} \\ \\ \mathbf{\dfrac{t}{0.05} = 2^n} \\ \\ \mathbf{\dfrac {100 \ t }{ 5} = 2^n} \\ \\ \mathbf{20 t = 2^n}$

Taking logarithm of both sides; we have :

$\mathbf{log (20 t) = n log 2} \ \ \ \mathbf{(since \ , log \ a^b = b \ log \ a) } \\ \\ \mathbf{n = \dfrac{log \ 20 t }{log \ 2 }} \\ \\ \mathbf{g^{-1} (t) = \dfrac{log \ 20 t }{log \ 2 }} \\ \\ \mathbf{g^{-1} (t) = log _2 \ 20 \ t}$

4 0

4 years ago

Jackson currently has $35 in his bank account, and he is saving $15 a week to eventually buy a new cell phone. He can represent

RSB [31]

Answer:

Answer:

1. We have our function y = 15x + 35

a) Where the x represents the numbers of weeks since each week he is saving $15, which is the independent variable.

b) Where the y represents the total money he has, which is the dependent variable.

c) the slope is 15, as x increments, the slope goes up by 15.

d) The y-intercept is 35, because when x = 0, y = 35.

2. To create the table you have to find the value of y, knowing the values of x.

Using our function, when x = 0

y = 15(0) + 35

y = 0 + 35

y = 35

Using our function, when x = 1

y = 15(1) + 35

y = 15 + 35

y = 50

Using our function, when x = 2

y = 15(2) + 35

y = 30 + 35

y = 65

Using our function, when x = 3

y = 15(3) + 35

y = 45 + 35

y = 80

Using our function, when x = 4

y = 15(4) + 35

y = 60 + 35

y = 95

Using our function, when x = 5

y = 15(5) + 35

y = 75 + 35

y = 110

Yes, the table is proportional, because for each week, the value of his money is increasing by 15.

3. To create the graph, you can put the values of the table into the graph

And the graph is not proportional because to be proportional the relationship between “x” and “y” should be constant, meaning that, if “x” changes, “y” changes by the same percentage.

In this case our function has an intercept of 35 meaning that at week 0, he has $35 saved,

after a week: $50,

after two weeks: $65,

So, although is linear, is not proportional because when you double the weeks saved, you don't double the money saved.

4 0

3 years ago

1. Find the perimeter of the figure. Each unit is 1 centimeter

Oxana [17]

Answer:

Step-by-step explanation:

count the sides of the boxes for each side of the shape

8 0

3 years ago

Need help on 11 and 13 please

Arturiano [62]

Answer:

11. 15x + 6

11. b x + 8 - 16

13. 7x + 31

3 0

3 years ago

Read 2 more answers