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4 years ago

Which ordered pair is a solution to the system of equations?

Mathematics

1 answer:

iren2701 [21]4 years ago

3 0

(- 2, - 3) is a solution to the given system of equations.

Answer: Option D

<u>Step-by-step explanation:</u>

Given equation are not presented in proper format. So, let assume the given system of are as below,

2 x - y = -1

2 x -4 y = 8

Now, subtract the second equation from the first, we get

(2 x - y) -(2 x - 4 y) = -1 -8

3 y = -9

y = -3 (obtained this when divide by 3)

Substituting y = - 3 into the first equation, we get

2 x - (-3) = - 1

2 x = - 1 + 3

x = - 2 (obtained when divide by 2)

Now, the answer is (x, y) = (- 2, - 3)

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Evaluate 3 7 r + 5 8 s 7 3 r+ 8 5 sstart fraction, 3, divided by, 7, end fraction, r, plus, start fraction, 5, divided by, 8

bazaltina [42]

Answer:

Therefore the value of given expression when r = 14 and s = 8 is

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s=11$

Step-by-step explanation:

Given:

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s$

To Find:

Value of above equation when r = 14 and s = 8

Solution:

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s$ .............Given

Put,

$r=14\\s=8$

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s=\dfrac{3}{7}\times 14 + \dfrac{5}{8}\times 8$

Now 7 × 2 = 14 and 8 will cancel each other we get

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s=3\times 2 + 5=6+5=11$

Therefore the value of given expression is

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s=11$

8 0

3 years ago

Y=5x-4y = 5 x − 4<br><br> y=-x+2

Nadya [2.5K]

Answer:

Y= x+2 " substituting value of y

Step-by-step explanation:

Y=5x-4y = 5x - 4

or, 5x - 4(x+2) = 5x - 4

or, 5x - 4x+ 8 = 5x-4

or, x +8 = 5x - 4

or, 0= 5x - x - 4-8

or, 0= 4x - 12

5 0

3 years ago

Craig has $1850 dollars in a bank account that he uses to make automatic payments of $400.73 on his car loan. If Craig stops mak

Ivenika [448]

Given:

Amount in the bank account = $1850

Monthly payment of can loan = $400.73

To find:

When would automatic payments make the value of the account zero?

Solution:

Craig stops making deposits to that account. So, amount $1850 in the bank account is used to make monthly payment of can loan.

On dividing the amount by monthly payment, we get

$\dfrac{1850}{400.73}=4.61657$

It means, the amount is sufficient for 4 payment but for the 5th payment the amount is not sufficient.

Therefore, the 5th automatic payments make the value of the account zero.

6 0

3 years ago

Suppose that IQ scores have a bell-shaped distribution with a mean of 99 and a standard deviation of 14. Using the empirical rul

algol [13]

Answer:

About 99.7% of the IQ scores would be between 57 and 141.

Step-by-step explanation:

The Empirical Rule about a bell-shaped curve states that :

68% of the data lies within one standard deviation of the mean (both left-side and right-side)

95% of the data lies within two standard deviations of the mean (both left-side and right-side)
99.7% of the data lies within three standard deviations of the mean (both left-side and right-side)

Now, we need to find what percentage of IQ scores lies between 57 and 141 : Mean = 99 and standard deviation = 14

141 – 99 = 42

= 3 × 14

Thus, 141 is 3 standard deviations to the right of the mean.

99 – 57 = 42

= 3 × 14

Thus, 57 is 3 standard deviations to the left of the mean.

Since 57 to 141 is within 3 standard deviations of the mean, and according to empirical formula stated above : about 99.7% of the IQ scores would be between 57 and 141.

8 0

3 years ago

At the same time of day, a tree and a flagpole cast shadows as shown below.

Hitman42 [59]

Answer:

16 feet

Step-by-step explanation:

Height of tree = $\frac{20}{15}$ × 12ft

= 16ft

3 0

3 years ago