Anyone know how to do this?

Find three points that solve the equation then plot them on the -3x + 2y = 11

Snezhnost [94]

Answer:x=23y+−113

Or if you need it for a graph question then:

Slope = 3.000/2.000 = 1.500
x-intercept = 11/-3 = -3.66667
y-intercept = 11/2 = 5.50000

I hope this helps.

4 0

3 years ago

Write an equation expressing the volume of the box made by paper x by 16 from which a square with side length 2 is cut from each

Furkat [3]

Answer: V = 24*(x - 4) with the condition x > 4.

Step-by-step explanation:

The volme of a cube/box is equal to:

V = W*L*H

where W = width, L = lenght and H = heigth.

First:

We know that the cubes cut in the corner have a side length of 2.

Then the remaining part is folded up, and this is now the height.

So the height of the box is equal to 2.

Now, we know that the initial measures of the piece of paper are x by 16

But now, in each extreme, we subtracted 2 units, that are now the new heiht, so now the piece of paper is (x -2 -2) by (16 -2 - 2)

or (x - 4) by 12.

Then the volume of the box is:

V = (x -4)*12*2 = 24*(x -4)

Notice something, if x is equal or smaller than 4, then we have a negative volume or a volume equal to zero. Those are problems in our model, so we should use the condition x > 4.

8 0

3 years ago

Riaz wants to spend no more than $1,250 on his trip. The airfare is $439. Write and solve an inequality to find the maximum amou

Ilya [14]

$Answer: \\ Let \: x \: be \: the \: amount \: of \: money \: he \: can \: spend \\ We \: have \: an \: inequality:x +439 \leqslant 1250 \\ \Leftrightarrow x \leqslant 811 \\ So \: the \: maximum \: amount \: he \: can \: spend \: is \: \$ 811$

4 0

3 years ago

Ari thinks the perfect milkshake has 3 ounces of caramel for every 5

tangare [24]

Answer:

A - They Have Too Much Caramel

Step-by-step explanation:

Ari likes 3 oz caramel for 5 scoops ice cream.

Freeze Zone makes 6 oz caramel with 8 scoops of ice cream.

Divide both amounts of Freeze Zone by 2.

6 oz caramel for 8 scoops of ice cream is the same ratio as

3 oz caramel for 4 scoops of ice cream.

Since Ari likes 3 oz caramel for 5 scoops ice cream,

he will think it's too much caramel for the ice cream.

Answer: A - They Have Too Much Caramel

8 0

4 years ago

The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate coating divided by the metal l

34kurt

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Temp. 174 176 177 178 178 179 180 181

Ratio 0.86 1.31 1.42 1.01 1.15 1.02 1.00 1.74

Temp. 184 184 184 184 184 185 185 186

Ratio 1.43 1.70 1.57 2.13 2.25 0.76 1.37 0.94

Temp. 186 186 186 188 188 189 190 192

Ratio 1.85 2.02 2.64 1.53 2.48 2.90 1.79 3.16

A)

Using the online linear regression calculator, the lie of best fit which models the data above is :

ŷ = 0.09386X - 15.55523

Where ;

X = independent variable

ŷ = predicted or dependent variable

- 15.55523 = intercept

0.09386 = gradient / slope

B)

Point estimate when tank temperature is 186

ŷ = 0.09386(186) - 15.55523

ŷ = 17.45796 - 15.55523

ŷ = 1.90273

C)

Residual error (y - ŷ), ŷ = 1.90273 when x = 186

(0.94 - 1.90273) = −0.96273

(1.85 - 1.90273) = −0.05273

(2.02 - 1.90273) = 0.11727

(2.64 - 1.90273) = 0.73727

D)

To determine the proportion of observed variation in efficiency ratio, we find the Coefficient of determination R^2, which can be found using the online Coefficient of determination calculator : the r^2 value obtained is 0.4433.

5 0

3 years ago