3. 5x + 1 = 4y + 7<br> Equation:<br> Slope:<br> y-intercept:

Which ordered pair to be removed so that the resulting graph represents a function?

IgorLugansk [536]

The picture is not working

5 0

3 years ago

Read 2 more answers

Andrew received a raise from $14,580.00 per year to $25,317.40 per year. He received

skelet666 [1.2K]

Answer:

Step-by-step explanation:

$25,317.40 is about 57.5% higher than $14,580.00

57% doesn't fit the answers you provided, so either something is missing in the question, or the numbers may be messed up, or the answer is just 57.5%.

A 2% raise would be $14,871.60 per year.

A 3% raise would be $15,017.40 per year.

A 7.4% raise would be $15,658.92 per year.

A 29% raise would be $18,808.20 per year.

I hope this helps

7 0

3 years ago

A bag contains 6 green counters, 4 blue counters and 2 red counters. Two counters are drawn from the bag at random without repla

Svetach [21]

Answer:

24.24%

Step-by-step explanation:

In other words we need to find the probability of getting one blue counter and another non-blue counter in the two picks. Based on the stats provided, there are a total of 12 counters (6 + 4 + 2), out of which only 4 are blue. This means that the probability for the first counter chosen being blue is 4/12

Since we do not replace the counter, we now have a total of 11 counters. Since the second counter cannot be blue, then we have 8 possible choices. This means that the probability of the second counter not being blue is 8/11. Now we need to multiply these two probabilities together to calculate the probability of choosing only one blue counter and one non-blue counter in two picks.

$\frac{4}{12} * \frac{8}{11} = \frac{32}{132}$ or 0.2424 or 24.24%

8 0

3 years ago

The selling price is $750. The rate of the sales tax is 5%. How much is the sales tax?

ElenaW [278]

Answer:

37.5

Step-by-step explanation:

Selling price= 750

Sales tax= 5%

5/100 because we are looking for 5% ot of 100%

750*0.05

5 0

2 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

olga nikolaevna [1]

Answer:

maximum value , f max = 169 (taking the most out of the 4th power)

minimum value , f min = 169/3 (taking the least out of the 4th power)

Step-by-step explanation:

A) Since both function and restriction are symmetrical with respect to x,y and z, there is no reason for one to be more important than the others and therefore one solution would be x=y=z=λ and thus

x2 + y2 + z2 = 13 → 3λ² = 13 →λ² = 13/3

and f would be

f (x, y, z) = x4 + y4 + z4 = 3λ⁴ = 3*(13/3)²=13²/3=169/3

since x⁴ increases faster than 3*x² , f(x,y,z) would be a minimum

and the maximum value would be obtained taking the most out of x⁴, thus doing 2 coordinates =0 ( can be x=0 and y=0) and

z²= 13

f (x, y, z) = x4 + y4 + z4 = 13² = 169

B) strictly, using Lagrange multipliers

f (x, y, z) = x4 + y4 + z4

g (x, y, z) = x2 + y2 + z2 - 13

F(x,y,z) = f (x, y, z) -λ*g (x, y, z)

such that

Fx (x,y,z)= fx(x, y, z) -λ*gx (x, y, z) = 0 → 4*x³ - λ*2*x = 0 → 2*x*(2*x² -λ) = 0

thus x=0 or x²= λ/2

Fy (x,y,z)= fy(x, y, z) -λ*gy (x, y, z)= 0 → 4*y³ - λ*2*y = 0 → 2*y*(2*y² - λ) = 0

thus y=0 or y²= λ/2

Fz (x,y,z)= fz(x, y, z) -λ*gz (x, y, z)= 0 → 4*z³ - λ*2*z = 0→ 2*z*(2*z² - λ) = 0

thus z=0 or z²= λ/2

g (x, y, z) = 0 → x2 + y2 + z2 = 13 → 3*(λ/2) = 13 → λ=13*2/3

thus x²=y²=z²= λ/2 =13/3

f min = f (x, y, z) = x4 + y4 + z4 = 3*(13/3)²=169/3

for the x=0 , y=0 → z²= 13

f max = f (x, y, z) = x4 + y4 + z4 = 13² = 169

3 0

3 years ago

3. 5x + 1 = 4y + 7 Equation: Slope: y-intercept: