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PSYCHO15rus [73]
3 years ago
10

HELP. It’s LOG form. Since were out of school I forgot how I did this and it’s due so it would be a life saver.

Mathematics
1 answer:
____ [38]3 years ago
4 0

Answer:

see below

Step-by-step explanation:

exponent to log: a^b = c ---> logₐc = b

ie. question 6

log ₁₀(3x+1) = 2 -----> 10^{2} = 3x+1

that will get you through questions 1 to 3, 5 to 6, and 8

in question 4, all you have to do is know that 2^2 = 4 and 2^3 = 8, by setting the bases equal, you can manipulate the exponents to get 2x+8 = 3x-3

for questions 7 and 9,

remember that:

logₐc + logₐd = logₐ(cd)

logₐc - logₐd = logₐ(\frac{c}{d})

remember change of base is log_{a} b = \frac{log_xb}{log_xa}, this will be useful if you need your calculator since calculators only have base 10 and maybe if your calculator is good enough natural base e

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Find the sum in simplest form. 10 3/5 + 2 3/5
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Answer:

A. 13 1/5

Step-by-step explanation:

=10 3/5 + 2 3/5

=53/5 + 13/5

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6 0
2 years ago
4. The diagram at right shows the graph of 3x + 4y = 12. The shaded figure is a square, three of whose vertices are on the coord
nikklg [1K]

Remark

This is a very interesting question.  Draw a line from the origin to where the upper right vertex of the square touches the line. That line has the property that the its equation is y = x. So the "solution" to the point of intersection is the solution of the two equations.

y =  x            (1)

3x + 4y = 12 (2)

Put x in for y in equation 2

3x + 4x = 12

7x = 12

x = 12/7

x = 1.714

y = 1.714

Problem A

<em><u>x intercept</u></em>

The x intercept occurs when y = 0

3x + 4(0) = 12

3x = 12                Divide by 3

x = 12/3

x = 4

the x intercept = (4,0)

<em><u>y intercept</u></em>

The y intercept occurs when x =0

3(0) + 4y = 12

4y = 12

y = 12/4

y = 3

y intercept = (0,3)

Problem B

x and y both equal 1.714 so they are also the length of the square's side.

Problem C

See solution above. x =y is the key fact.

x = y = 1.714

5 0
3 years ago
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luda_lava [24]

Answer:

140°

Step-by-step explanation:

The other angle inside is 40 so 180-40 is 140°

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Answer:

x = 85°

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180° - ∠CDB = ∠CDA.

180° - 95° = 85°

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