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Tasya [4]
2 years ago
10

Someone please help!

Mathematics
1 answer:
USPshnik [31]2 years ago
6 0
Here are the log properties you need:
log(ab) = log(a) +log(b) \\  \\ log(\frac{a}{b}) = log(a) - log(b) \\  \\ log(a^n) = n log(a)
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What are the solutions to the equation (x – 2)(x + 5) = 0?
Ray Of Light [21]

Answer:

(2,-5)

Step-by-step explanation:

8 0
2 years ago
A vehicle uses 1 7/8 gallons of gasoline to travel 56 1/4 miles. At this rate, how many miles can the vehicle travel per gallon
sweet [91]

Answer:

  30 miles

Step-by-step explanation:

In this context, "per" means "divided by", so to find miles per gallon, divide miles by gallons:

  (56 1/4 mi)/(1 7/8 gal) = 30 mi/gal

The vehicle can travel 30 miles per gallon of gas.

_____

My calculator divides mixed numbers directly, as many graphing calculators do. If you're working this out by hand, you can convert to improper fractions, then multiply the numerator by the inverse of the denominator.

  (56 1/4)/(1 7/8) = (225/4)/(15/8)

  = (225/4)·(8/15) = (225/15)·(8/4)

  = 15·2 = 30

4 0
3 years ago
What is the equation of a line with slope 4 and passes through point (4,2)?
bezimeni [28]

Answer:

y = 4x - 14

Step-by-step explanation:

Use point-slope form and substitute the values.

y - 2 = 4(x - 4)

y - 2 = 4x - 16

y = 4x - 14

4 0
3 years ago
Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines and y-axis. Also, determine
NikAS [45]

Answer:

Using Geometry to answer the question would be the simplest:

Step-by-step explanation:

Remembering the formula for the area of a triangle which is A=\frac12bh. One can then tackle the question by doing the following:

Step 1 Find the y-intercepts

The y-intercepts are found by substituting in x=0.

Which gives you this when you plug it into both equations:

-y=1\\y=-1\\y=8

So the y-intercepts for the graphs are (0,-1)\\, and (0,8) respectively.

Now one has to use elimination to solve the problems by adding up the equations we get:

x-y=1\\2x+y=8\\3x=9\\x=3

Now to solve for the y component substitute:

2(3)+y=8\\y=2

Therefore, the graphs intersect at the following:

(3,2)

Now we have our triangle which is accompanied by the graph.

now to solve it we must figure out how long the base is:

b=8-(-1)\\b=9

The height must also be accounted for which is the following:

h=3

Now the formula can be used:

A=\frac12bh=\frac12(9)(3)=\frac{27}2\ \text{units}^2

7 0
2 years ago
Read 2 more answers
Help me please i’m dying and i’m just dying help
photoshop1234 [79]

Answer:

70

Step-by-step explanation:

verticle angles are congruent (the same) so if 1 is 110 than 4 is 110. also same side interior angles are supplementary (equal to 180) meaning 6 is 70. If verticle angles are congreunt then 7 also equals 70

3 0
3 years ago
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