PLEASE HELP ASAP

Simplify the expression.

Log(x^4) - log(x^3)

A. Log(x)
B. Log(x^4-x^3)
C. Log(x^4+x^3)
D. Log(x^7)

Answer:

1.) y = -6

2.) y = 5/3x - 7

3.) y = 5

4.) y = -3x + 1

5.) x = -3

Step-by-step explanation:

So the equation you want to use is this:   [tex]\frac{y2-y1}{x2-x1}[/tex]

1.) Plug in

[tex]\frac{-6 - (-6)}{6 - 2} \\\\\frac{0}{4} = 0\\[/tex]

This line is zero slope to find the y-intercept get one of you points and plug them and the slope into this equation y = mx+ b. We will use (2,-6)

-6 = 0(2) + b (b represents y-intercept) (0*2=0)

-6 = b

So the equation is y = -6

2.) Do the same thing.

[tex]\frac{3-8}{6-9} \\\\\frac{-5}{-3} =\frac{5}{3}[/tex]

It's positive because when you divide a negative by a negative you get a positive. Plug in a point (6, 3) y = mx + b (b represents y-intercept)

3 = 5/3(6) + b (5/3*6 = 10)

3 = 10 + b (subtract 10 on both sides)

-7 = b

y = 5/3x - 7

3.) For this one you are just going to point slope form. y - y1 = m(x - x1)

Plug in

y - 5 = 0(x - (-8))

y - 5 = 0 (add 5 to both sides)

y = 5

4.) Do [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this one

Plug in

[tex]\frac{-5 - 7}{2 - (-2)} \\\\\frac{-12}{4} = -3[/tex]

So the slope is -3. Plug into y = mx + b with the point (2, -5)

-5 = -3(2) + b (b represents y-intercept)

-5 = -6 + b (add 6 to both sides)

1 = b

The equation is y = -3x + 1

5.) Do the same thing as #4

[tex]\frac{-8 - (-5)}{6 - 6} \\\\\frac{-3}{0}[/tex]

This slope is undefined

Since you can't divide by 0 the equation would be

x = -3

Hope this helps ya!!

Answer:

m<4= 60

m<1=60

m<3=30

Step-by-step explanation:

I'd like to explain but I would be very difficult to do with out being in person

Answer:

m1 = 60°

m2 = 90°

m3 = 30°

m4 = 60°

Step-by-step explanation:

m<5 + m<4 = 180° ( on a straight line)

120° + m<4 = 180°

m<4 = 60°

m<2 = m<3 + m<4

90° = m<3 + 60° ( on a straight line)

m<3 = 90° - 60°

m<3 = 30°

m<1 + m<2 + m<3 = 180°

m<1 = 180 - 90 -30

m<1 = 60°

Answer:

Substitute the given value into the function and evaluate.

23 (y − 6) = −(y + 2) + 1 = y = 137/24

2 = y = 137/24

3 = y = 137/24

y − 6 = −(y + 2) + 1 = y = 5/2

Answer:

3 percent because 8-5=3

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

Answer:

The Trench or The Mariana Trench is the deepest part of the ocean.

Answer:

B) trench

Step-by-step explanation:

The deepest part of the ocean is called the Challenger Deep and is located beneath the western Pacific Ocean in the southern end of the Mariana Trench

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Answer:

100/35 = 2

35 goes into 100 2 times

Step-by-step explanation:

Answer:

x =53.85

Step-by-step explanation:

Let x be the original price

If the price is 22% of, you will pay 100% -22% = 78%

x * 78% = 42

Change to decimal form

.78x = 42

Divide each side by .78

.78x/.78 = 42/.78

Rounding to the nearest cent

x =53.85

Answer:

-3x^2-18x-40

Step-by-step explanation:

(x+3)^2: x^2+6x+9

= -3(x^2+6x+9)-13

Expand:

-3(x^2+6x+9): -3x^2-18x-27

= -3x^2-18x-27-13

Final Answer: -3x^2-18x-40

Answer:

-3x^2-18x-40

Step-by-step explanation:

-3(x+3)^2-13

-3(x^2+6x+9)-13

-3x^2-18x-27-13

-3x^2-18x-40

Let's simplify step-by-step.

7x−2+10x+x+6x

=7x+−2+10x+x+6x

Combine Like Terms:

=7x+−2+10x+x+6x

=(7x+10x+x+6x)+(−2)

=24x+−2

Answer:

=24x−2 <----

Answer:

probably 24x-2

Step-by-step explanation:

combine like terms

Answer:

Yes, {9,−1,−2,−4},{9,−1,−5,5}

Step-by-step explanation:

Since there is one value of y for every value of x in ((9,9),(−1,−1),(−2,−5),(−4,5)), this relation is a function. The relation is a function.

The domain is the set of all the values of . The range is the set of all the values of

y.Domain:{9,−1,−2,−4}Range:{9,−1,−5,5}

<3

Answer:

After 5 hours of service, both babysitting services would cost the same.

Step-by-step explanation:

Babysitter's Block: y = 15x + 25

Super Sitters: y = 20x

15x + 25 = 20x

Subtract 15x from both sides;

25 = 5x

Divide both sides by 5;

x = 5

For 5 hours of service, both babysitting services would cost the same.

Answer:

f(3)= 4

Step-by-step explanation:

x= -3=0

x= 3

f(3)=(3+3)-2

f(3)= 6-2

f(3)= 4

Answer:

53 degrees

Step-by-step explanation:

a complementary angle is 90 degrees and it's split, if one is 47 degrees, you do 90-47 which equals 53

Answer:

is there multiple choices

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Suppose i started from ( x , y ) .

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So ;

3 units left :

[tex]x - 3 = 0[/tex]

Add sides 3

[tex]x = 3[/tex]

_________________________________

2 units down :

[tex]y - 2 = - 1[/tex]

Add sides 2

[tex]y = 1[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus i started from ( 3 , 1 ) .

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Answer:

If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. The corresponding sides of similar triangles are in proportion.

I hope this might help you

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Answer:

250 centimeters

Step-by-step explanation:

2 meters into centimeters is 200 so 200+50=250

Answer:

100cm

Step-by-step explanation:

Answer: -12x + 30

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

-6(2x-5)

-6(2x+5)

-6(2x) + 6(5)

-12x +30

Answer:

4.57

Step-by-step explanation:

4+1+1=6

Step-by-step explanation:

she already has 4 necklaces so than she got 2 for a dollar so that equals 6.

Answer:

That the graph of (f+g)(x) is a parent graph of f(x) and g(x)

Answer:

A. The leading coefficients of f(x) and g(x) are opposite

Step-by-step explanation:

Answer:

$4.80

Step-by-step explanation:

6 oranges for 1.80

sp 6 divided by 1.80 comes out to 0.3 per orange

0.3 times 16 comes out to 4.80

therefor $4.80

Answer:

$4.80

Step-by-step explanation:

1.80/6=0.3

0.3=$0.30 for each orange

16×0.3=4.8

4.8=$4.80 for 16 oranges

Answer:

44$

Step-by-step explanation:

Answer:

Answer

5.0/5

7

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The selling cost for Stefan bicycle = $114 and

the selling cost of a helmet = $18.

The total cost for Jin is 120% of the money spent.

Let us assume purchasing cost of a bicycle = $x.

Purchasing cost of a halmet = $y.

For bicycle

120% of x is $114  

=>  1.20 × x = 114

Dividing both sides by 1.20, we get

x=$95.

For helmet.

120% of y is $18.

=> 1.20 × y = 18.

Dividing both sides by 1.20, we get

y = $15.

Therefore, Stefan spent originally to buy a bike $95 and $15 to buy a helmet.

$114 - 95 = $19

$18 - 15 = $3.

Therefore, he made $19 by selling the bicycle and $3 by selling the helmet to Jin.

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Use conditional probability:

P(A given B) = P(A and B) / P(B)

P(4 given 3) = P(4 and 3) / P(3)

P(4 given 3) = (1/36) / (1/6)

P(4 given 3) = 1/6

Two numbers whose sum is 10 is required.

The answer is

Minimum: 5, 5

Maximum: 9, 1

Let [tex]x[/tex] and [tex]y[/tex] be two numbers

[tex]x+y=10\\\Rightarrow y=10-x[/tex]

The sum of the squares would be

[tex]x^2+y^2=x^2+(10-x)^2\\ =2x^2-20x+100[/tex]

[tex]f(x)=2x^2-20x+100[/tex]

Differentiating with respect with x

[tex]f'(x)=4x-20[/tex]

Equating with zero

[tex]4x-20=0\\\Rightarrow x=\dfrac{20}{4}\\\Rightarrow x=5[/tex]

Double derivative of f(x)

[tex]f''(x)=4[/tex]

[tex]f''(x)>0[/tex]

So, at [tex]x = 5[/tex] the value of the function is minimum.

Therefore, at [tex]x=5[/tex] and [tex]y=10-5=5[/tex] the function has minimum value of [tex]5^2+5^2=50[/tex]

For the finding the maximum values of [tex]x[/tex] and [tex]y[/tex] we have to use trial and error method

[tex]9^2+1^2=82[/tex]

[tex]8^2+2^2=68[/tex]

[tex]7^2+3^2=58[/tex]

[tex]6^2+4^2=52[/tex]

0 and 10 will not be considered as 0 is neither positive nor negative.

So, the maximum value of the numbers is 9 and 1 and the maximum value of the function is 82.

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