6. (-2, 1) and (0,3) Slope= Equation=​

answer both please

Answer:

[tex]\displaystyle y = x^{-\frac{2}{3}}[/tex]

Step-by-step explanation:

Logarithms

Some properties of logarithms will be useful to solve this problem:

1. [tex]\log(pq)=\log p+\log q[/tex]

2. [tex]\displaystyle \log_pq=\frac{1}{\log_qp}[/tex]

3. [tex]\displaystyle \log p^q=q\log p[/tex]

We are given the equation:

[tex]\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }[/tex]

Applying the second property:

[tex]\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}[/tex]

Substituting:

[tex]\displaystyle \log_{2}(x) = 3\log_{2}(xy)[/tex]

Applying the first property:

[tex]\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))[/tex]

Operating:

[tex]\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)[/tex]

Rearranging:

[tex]\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)[/tex]

Simplifying:

[tex]\displaystyle -2\log_{2}(x) =3\log_{2}(y)[/tex]

Dividing by 3:

[tex]\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}[/tex]

Applying the third property:

[tex]\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)[/tex]

Applying inverse logs:

[tex]\boxed{y = x^{-\frac{2}{3}}}[/tex]

Answer: A, 3 B, 2 C, 6

Step-by-step explanation:

Answer: [tex]6ft < x < 30ft[/tex]

6ft is less then x and x is less then 30ft

Step-by-step explanation:

The possible length of the third side is 7 < x < 29.

Polygon which has three sides and three vertices are called a triangle.

The sum of all the angles of the triangle is 180°.

Given:

The lengths of the other two sides of a triangle are 11 feet and 18 feet.

Let the third side's length is x feet.

The sum of the two sides of the triangle is always greater than the length of the third side of the triangle.

That means,

18 + 11 > x.

And 11 + x > 18.

So, we have a possible choice,

11 + 18 < x

Simplifying,

29 < x.

Arranging in better terms,

x > 29.

Another possible choice,

18 -11 < x

7 < x

Combining both inequalities,

we get,

7 < x < 29.

Therefore, 7 < x < 29.

To learn more about the triangle;

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Answer:

Perimeter: 30.4 cm

Area:57.76

Step-by-step explanation:

6cm+1.6cm=7.6cm

Perimeter:7.6x4

Area:7.6x7.6

Answer:

1.25 per pound

Step-by-step explanation:

Answer:

The answer is simple

Step-by-step explanation:

The answer is B, on a line graph the order goes from 0, 1, 2, 3 and so on without this order you can't use negative terms without a equation  

Answer:

d

Step-by-step explanation:

just substitute the numbers and if both sides equals, then its correct

Answer

24 (x) 13= 312cm

Step-by-step explanation:

area of a parallelogram= area of a rectangle/ sqaure=

24 (x) 13= 312cm

(the 18 inches it there to confuse you some times)

Answer:

Answer: X=12

Explanation: 180-72= 108. 108/9 = 12

Step-by-step explanation:

Answer: 161.6 seconds

Step-by-step explanation:

1. 8.216 + 3.652 = 11.868 (add together, this is for one car)

2. 11.868 x 42 = 161.6

adding 11x and -4x makes it 7x

adding-3y and 3y cancels it out so your left with nothing

adding a negative and a negative keeps it a negative so its 18+17 making it -35

so the answer is C

Answer:

$2.16

Step-by-step explanation:

Amount of change received

= $[5.00-0.25(6)-0.40(2)-0.18(3)]

= $(5.00-1.50-0.80-0.54)

= $2.16

Answer:

2

Step-by-step explanation:

The common difference in an arithmetic sequence is the difference between any two terms

So, you could start by doing -3 + d = -1

-3 + d = -1

-3 + d +3 = -1 +3

d = 3 -1

d = 2

Now test it with other terms

-1 + d = 1

Substitute

-1 +2 = 1

2 -1 = 1

1 = 1

It works!!!

If you want you can try it with 1 and 3

1 + d = 3

1 + 2 = 3

3 = 3

I hope this helps!!!!

Answer:

y = 3x -10

Step-by-step explanation:

Use the method [tex]\frac{rise}{run}[/tex].

I took a screenshot of the graph below, as an example of the rise over run method.

3 ÷ 1 = 3

To find the y intercept, count down on the graph until you reach the point where the line crosses.

In this case, the line crossed at -10 on the y-axis.

(Look at the second image)

So plug the numbers into the equation, and then you get y = 3x -10.

Answer:

24

Step-by-step explanation:

Given that:

Cost of each Enerbar = 30p

Number of Enerbars = 50

Cost of each grain bar = 50p

Number of grain bars = 150

Number of Amazebars = 50

Cost of each Amazebar = 0p (Because it was given as promotion)

Sales price of each bar = £2.20

Total profit earned = £402.80

All other bars were sold but Amazebars.

To find:

How many Amazebars were sold?

Solution:

First of all, let us have a look at the profit earned by selling each type of bar.

Profit is nothing but the difference between sales price and cost price.

Profit at selling each Enerbar = £2.20 - 30p = £1.90

Profit at selling 50 Enerbars = £1.90 [tex]\times[/tex] 50 = £95

Profit at selling each grain bar = £2.20 - 50p = £1.70

Profit at selling 50 grain bars = £1.70 [tex]\times[/tex] 150 = £255

Profit by selling Enerbars and grain bars = £95 + £255 = £350

Profit by Amazebars = £402.80 - £350 = £52.8

Number of Amazebars sold = Profit by Amazebars divided by Profit by selling one Amazebar

[tex]\Rightarrow \dfrac{\£52.80}{\£2.2}\\\Rightarrow \bold{24}[/tex]

Answer:

-17

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

[tex](-10)+(-7)= - 10 - 7 = - 17[/tex]

Luke charged an amount of $37.18 in sales tax which is determined by the evaluation of 6.25% of 595.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Luke bought a computer for $525 and two computer games for $34.99 each. The sales tax rate was 6.25%.

⇒ 525 + 2×34.99 = 595

We have to determine the evaluation of 6.25% of 595.

⇒ 6.25% of 595

6.25%  is expressed as 6.25/100 in fractional form

⇒ (6.25/100)(595)

6.25/100  is expressed as 0.0625 in decimal form

⇒ (0.0625 )(595)

Apply the multiplication operation, and we get

⇒ 37.18

Therefore, Luke charged an amount of $37.18 in sales tax.

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Answer:

11

Step-by-step explanation:

56.50-7=49.50

49.50divided by 4.50=11

Answer:

I have no idea what it is sorry

Answer:

3 3/4 cm ^3

Step-by-step explanation:

The length is 2.5 the width is 1 and the height is 1.5  so 2.5x1x1.5

Hope it helps!

Answer: if its a true or false question then yes 40 is a rational number

Step-by-step explanation:

Answer:

40 is a rational number

Step-by-step explanation:

It can be expressed as a quotient of two factors

40/1

Step-by-step explanation:

4(-6t-3)-10t

-24t-12-10t

-12-24t-10t

-12-34t

Answer:

879.6

Step-by-step explanation:

I had a similar question that I solved which helped me here.

Answer:

5

Step-by-step explanation:

9-4=5

Answer:

To find the price per spoon of brand A, divide the cost by the amount of spoons:

1.99 / 25 = 0.0796

Repeat this process for brand B:

3.89 / 42 = 0.0926

Brand A, at $0.08 a unit, is the better buy of brands A and B.

Hope this helps.