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ivann1987 [24]
3 years ago
11

Prove that 1÷loga ab + 1÷logb ab=1​

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

1 ÷ loga ab + 1 ÷ logb ab

=  1 / (loga ab)  +   1 /  (loga ab / loga b)    { change of log base)

= 1 / (loga ab) +  loga b / (loga ab)

=  (1 + loga b) / loga ab

=  (1 + loga b) / (loga a + loga b)    Now loga a = 1 so we have:

((1 + loga b) / (1 + loga b)

= 1.

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Solve the system of linear equations by adding or subtracting. Show all work!
Thepotemich [5.8K]

Answer:

x = -2, y = -2

Step-by-step explanation:

Your goal is to try and cancel out a variable. I want to get rid of y so i subtracted the first equation from the second one.

After that I solve for x and got x=-2.

I used x=-2 and plugged it back into either of the equation to solve for y.

4 0
3 years ago
Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take
Ipatiy [6.2K]

Answer:

a) r = 0.974

b) Critical value = 0.602

Step-by-step explanation:

Given - Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both test and the results are give below

Test A | 64 48 51 59 60 43 41 42 35 50 45

Test B |  91 68 80 92 91 67 65 67 56 78 71

To find - (a) What is the value of the linear coefficient r ?

             (b) Assuming a 0.05 level of significance, what is the critical value ?

Proof -

A)

r = 0.974

B)

Critical Values for the Correlation Coefficient

n       alpha = .05          alpha = .01

4           0.95                       0.99

5           0.878                     0.959

6           0.811                       0.917

7           0.754                      0.875

8           0.707                      0.834

9           0.666                      0.798

10          0.632                      0.765

11           0.602                      0.735

12          0.576                       0.708

13          0.553                       0.684

14           0.532                       0.661

So,

Critical r = 0.602 for n = 11 and alpha = 0.05

6 0
3 years ago
Write an equation in slope intercept form of the line with a slope of -3/4 and y intercept of -5
raketka [301]
Given,
slope(m)=-3/4
y intercept (c)=-5
Then,
equation in slope intercept form is
y=mx+c
or, y=(-3/4)×x+(-5)
or, y=-3/4×x-5

5 0
3 years ago
Put the numbers in order from least to greatest.
loris [4]

Answer:

B. -.9,-4, 1, .2, .8

Hope this helps!:)

7 0
3 years ago
Read 2 more answers
Please help me!! I really need it!! I Could fail the 7th grade
babymother [125]

Answer:

Step-by-step explanation:

Price of one ticket   = $4

Price of t tickets = 4t

1) 4t + 72 > 400

   t >  (400-72)/4

2) 4t + 72 > 400      

4t + 72 - 72 > 400 - 72    {subtract 72 from both sides}

4t > 328

4t/4 > 328/4      {divide both sides  by 4}

t >  82

7 0
3 years ago
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