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Alika [10]
2 years ago
10

Please help with this, thank you.

Mathematics
1 answer:
marta [7]2 years ago
5 0

Answer:

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Step-by-step explanation:

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How would i graph <br> y=− 5/2x-3<br> and<br> x−y=−4<br> (_,_)
SashulF [63]

Given:

The system of equations is

y=-\dfrac{5}{2}x-3

x-y=-4

To find:

The graph of the given system of equations and its solution.

Solution:

The table of values for y=-\dfrac{5}{2}x-3 is

x        y

-4       7

-2       2

0      -3

Plot these points and connect them by a straight line.

The table of values for x-y=-4 is

x          y

-4         0

-2         2

0         4

Plot these points and connect them by a straight line.

From the below graph it is clear that the lines intersect each other at point (-2,2).

Therefore, the solution of given system of equation is (-2,2).

6 0
3 years ago
If the first term in an arithmetic sequence is –3 and the tenth term is 15, what is the common difference?
Triss [41]

Given that the First term of the Arithmetic sequence = -3

⇒ a = -3

We know that nth term of a Arithmetic sequence is : Tn = a + (n - 1)d

where a is the first term and d is the common difference

Given that 10th term is 15

⇒ T₁₀ = -3 + (10 - 1)d

⇒ -3 + (10 - 1)d = 15

⇒ 9d = 18

⇒ d = 2

⇒ Common difference of given Arithmetic Sequence is 2

6 0
2 years ago
Find the area of a square with a perimeter of 45cm
Stolb23 [73]

Answer:

the area for the square is 126.56cm²:

8 0
3 years ago
Suppose that documentation lists the average sales price of a single-family home in the metropolitan Dallas/Ft. Worth/Irving, Te
Julli [10]

Answer:

"0.0373" seems to be the appropriate solution.

Step-by-step explanation:

The given values are:

n₁ = 43

n₂ = 35

\bar{x_1}=217800

\bar{x_2}=204700

\sigma_1=30300

\sigma_2=33800

Now,

The test statistic will be:

⇒  Z=\frac{\bar{x_1}-\bar{x_2}}\sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }

On substituting the given values in the above formula, we get

⇒      =\frac{217800-204400}{\sqrt{\frac{(30300)^2}{43} +\frac{(33800)^2}{35} } }

⇒      =\frac{217800-204400}{\sqrt{\frac{918090000}{43} +\frac{1142440000}{35} } }

⇒      =\frac{13400}{7347.93}

⇒      =1.7828

then,

P-value will be:

=  P(Z>1.7828)

=  0.0373

8 0
2 years ago
Integers between-4 and 2,inclusive
rjkz [21]
The integers between -4 and 2, inclusive would be -4, -3, -2, -1, 0, 1, and 2
3 0
3 years ago
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