Write the function that represents the sequence in the table

Lena's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lena $4.30 per pound, and type B

Virty [35]

Answer:

Assign variables for unknowns.

Let A be the number of pounds of Type A coffee.

Let B be the number of pounds of Type B coffee.

A + B = 150 ( the total weight of the lend of Type A and Type B).

If one pound of Type A costs $4.15 then A pounds costs 4.15A

If one pound of Type B costs $5.60 then B pounds costs 5.6B

4.15A + 5.6B = 712.40 ( total cost of the blend)

At this point you have two equations with A and B as variables. You can use substitution or elimination method to solve for A.

A + B = 150

4.15A + 5.6B = 712.40

Substitution method:

A = 150 - B

4.15(150 - B) + 5.6B = 712.40

622.5 - 4.15B + 5.6B = 712.4

622.5 + 1.45B = 712.4

1.45B = 712.4 - 622.5

1.45B = 89.9

B = 89.9/1.45

B = 62

A = 150 - B

A = 150 - 62

A = 88

ANSWER: Elsa used 88 pounds of Type A blend.

Step-by-step explanation:

Assign variables for unknowns.

Let A be the number of pounds of Type A coffee.

Let B be the number of pounds of Type B coffee.

A + B = 150 ( the total weight of the lend of Type A and Type B).

If one pound of Type A costs $4.15 then A pounds costs 4.15A

If one pound of Type B costs $5.60 then B pounds costs 5.6B

4.15A + 5.6B = 712.40 ( total cost of the blend)

At this point you have two equations with A and B as variables. You can use substitution or elimination method to solve for A.

A + B = 150

4.15A + 5.6B = 712.40

Substitution method:

A = 150 - B

4.15(150 - B) + 5.6B = 712.40

622.5 - 4.15B + 5.6B = 712.4

622.5 + 1.45B = 712.4

1.45B = 712.4 - 622.5

1.45B = 89.9

B = 89.9/1.45

B = 62

A = 150 - B

A = 150 - 62

A = 88

ANSWER: Elsa used 88 pounds of Type A blend.

4 0

2 years ago

Select ALL the measures of volume.

Lisa [10]

The centimeters they could be five points but if you want to select all the measure of volume then group of the answer choices literally has to be put in your own words

5 0

2 years ago

Please help asap<br><br> Inverse of a Function

sergey [27]

Answer:

$f^{-1} (x)=-\frac{1}{6}x+1$

Step-by-step explanation:

To find the inverse of a function in equation form, first I recommend changing the f(x) to a y:

y = -6x + 6

Next step is to switch the x and y:

x = -6y + 6

Now solve for the new y:

x - 6 = -6y and

$-\frac{1}{6}x + 1=y$

You can put the inverse notation back in for y like I did in the answer section above.

7 0

2 years ago

I really need help >_< please and thank you

SashulF [63]

So for each of the graphs, you basically just have to fill out slope form, which is y=my+b. And to make this equation, you need to find each variable.

First, find the slope. To calculate slope, count the rise (how many units up or down) the line goes from any point to the next immediate point, then the run (how many units left or right.) This should leave you with a fraction, rise/run. For example, on number 3, from labeled points (-5, -4) to (5,2) (double check cause it’s hard to see on my phone, but i think those are the points on 1??) it rises 6 units (-4 to 2) and runs 10 units (-5 to 5). This gives you your rise/run fraction, which is 6/10, simplified to 3/5.

So the slope fills out the m part of the equation. For 3, we found that slope is 3/5, and that fits into the m variable of the slope equation.

This makes it y=3/5x+b.

The last (and considerably less confusing) step is to find b. b is the y-intercept, which is just the point in the graph where the line crosses the y-axis and x=0. On 3, this would be (0,-1) or just -1.

So fill -1 into the b slot of the equation, and you get y=3/5x-1. And thats it!!

Let me know if you still need help on any of the other problems, but I hoped this helped to clear it up!! :)

8 0

3 years ago

Aviva wrote 8 poems during a creative writing class. Karim wrote 4 times as many poems as Aviva. Which operation would be best t

Oksi-84 [34.3K]

I believe it would multiplication because if Karim wrote 4 times as many as Aviva you would want to know what the 4times of 8 which would be 32.

4 0

2 years ago