SUPER URGENT!!!! NEED NOW!!!

Mathematics

1 answer:

motikmotik3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

3x - 6y = - 12 → (1)

x - 2y = 10 → (2)

Rearrange (2) expressing x in terms of y by adding 2y to both sides

x = 10 + 2y

Substitute x = 10 + 2y into (1)

3(10 + 2y) - 6y = - 12 ← distribute left side

30 + 6y - 6y = - 12 ( subtract 30 from both sides )

0 + 6y - 6y = - 12 - 30 , that is

0 = - 42 ← not possible

This indicates that the system of equations has no solution.

The 2 lines must therefore be parallel with no intersection

You might be interested in

The cost of a daily newspaper varies from city to city. however, the variation among prices remains steady with a standard devia

Tanya [424]

First, we establish our hypothesis:

Null hypothesis H0: μ = $1.00

Alternative hypothesis Ha: μ ≠ $1.00

Let’s say X = the sample average cost of a daily newspaper = 0.96

u = population mean cost = 1.00

S = sample standard deviation = 0.18

Calculating for z value:

z = (X – u) / S

z = (0.96 – 1) / 0.18

z = – 0.222

From the standard distribution table at this z value, p-value = 0.4129

Since alpha = 0.01, the decision therefore is:

Do not reject the null hypothesis because the p-value is greater than 0.01. There is enough evidence to support the claim that the mean cost of newspapers is $1.

6 0

3 years ago

Find the integral, using techniques from this or the previous chapter. ∫x(8-x)3/2 dx

Soloha48 [4]

Answer:

$\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C$

Step-by-step explanation:

For this case we need to find the following integral:

$\int x(8-x)^{3/2}dx$

And for this case we can use the substitution $u = 8-x$ from here we see that $du = -dx$ , and if we solve for x we got $x = 8-u$ , so then we can rewrite the integral like this: