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2 years ago

Which point do the graphs of f and g have in common?

Mathematics

1 answer:

pickupchik [31]2 years ago

6 0

The point that the graphs of f and g have in common are (1,0)

<h3>How to get the points?</h3>

The given functions are:

f(x) = log₂x

and

g(x) = log₁₀x

We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

Therefore the point the graphs of f and g have in common is (1,0).

Learn more about graph on:

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Please help if your kind enough, this is due today I’ll mark u as brainliest & rate u 5 stars

maxonik [38]

Answer:

x = 9 (see explanation)

Step-by-step explanation:

Alternate exterior angles are two angles that are congruent to each other:

1. Set the two angles equal to each other: 7x-4 = 6x+5

2. Combine like terms and solve for x: x = 9

Hope this helps!

5 0

3 years ago

Ram has three times as many Rupees to coins as he has rupees 5 coins if he has in all a sum of rupees 77 how many coins of Rupee

BabaBlast [244]

9514 1404 393

Answer:

21 coins of ₹2

Step-by-step explanation:

Let x represent the number of ₹2 coins, and y the number of ₹5 coins. Then the total value of the coins is ...

2x +5y = 77

and the relationship between numbers of coins is ...

x = 3y

Substituting for x, we have ...

2(3y) +5y = 77

y = 77/11 = 7 . . . . simplify, divide by the coefficient of y

x = 3(7) = 21 . . . . find x from the second equation

Ram has 21 of the ₹2 coins.

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3 years ago

What is the value of the expression (−2)^4(−2)^-1?

Morgarella [4.7K]

(-2)^4=16
(-2)^-1=-1/2
-1/2x16=-8
Answer: -8

7 0

2 years ago

please help me I would solve them myself but i have too much work and who ever solves is correctly I will give brainliest and if

mamaluj [8]

Answer:

1. 28

2. -1

3. 136

4. -43

5. -165

6. -58

7. -39.74

8. -50.994

9. -104.6

Step-by-step explanation:

A few simple calculations gives these answers. reply to this if you want work shown.

7 0

3 years ago

Read 2 more answers

An ABC News poll asked adults whether they felt genetically modified food was safe to eat. 35% felt it was safe, 52% felt it was

Masteriza [31]

Answer:

The proportions differ from those reported in the survey.

Step-by-step explanation:

The Chi-square goodness of fit test would be used to determine whether the proportions differ from those reported in the survey.

The hypothesis for the test can be defined as follows:

<em>H</em>₀: The proportions does not differ from those reported in the survey.

<em>Hₐ</em>: The proportions differ from those reported in the survey.

Assume that the significance level of the test is, α = 0.01.

The Chi-square test statistic is given by:

$\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}$

Consider the Excel sheet provided.

The Chi-square test statistic value is 191.32.

The <em>p</em>-value of the test is:

$p-value=P(\chi^{2}_{(n-1)}>191.32)\\\\=\text{CHISQ.DIST.RT}(191.32,2)\\\\=0.0000$

The <em>p</em>-value of the test is very small. The null hypothesis will be rejected at 1% level of significance.

Thus, concluding that the proportions differ from those reported in the survey.

5 0

3 years ago