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4 years ago

Y=-x+2 y=-5x-6 What is y and x

1 answer:

6 0

To solve this system of equations, since y is already isolated in both equations, you can set the expressions to equal each other to solve for x:

-x + 2 = - 5x - 6
-x + 5x = -6 - 2
4x = -8
x = -2

Now that we have x, we can substitute it into one of the equations to find y:

y = -(-2) + 2
y = 2 + 2
y = 4

The last step is to substitute both values into both equations to see if they are correct:

4 = -(-2) + 2 --> 4 = 2 + 2 <--True
4 = -5(-2) - 6 --> 4 = 10 - 6 <--True

Answer:
x = -2
y = 4

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Which statements are always true regarding the diagram? Select three options.

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Find : Which statements are always true regarding the triangle
m∠5 + m∠3 = m∠1
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Solution:
External angle of triangle = Sum of opposite interior angles
m∠1 = m ∠3 + m∠5
m∠4 = m ∠2 + m∠5
m∠6 = m ∠2 + m∠3

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3 years ago

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Some of Mrs. Turay’s eighth graders took the PSAT test. Score totals of ten of her students are below. Calculate the mean and th

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Answer:

(a) Mean=74

(b) Median=70

Step-by-step explanation:

We have been given a data set of PSAT scores of Mrs. Turay's eight graders. We are asked to find mean and median of the given data set.

(a) Let us find mean of data set by dividing the sum of given scores by the number of students.

$\text{Mean}=\frac{60+62+67+69+70+70+71+75+76+120}{10}$

$\text{Mean}=\frac{740}{10}=74$

Therefore, the mean test score will be 74.

(b) Now let us find median of our given data set. We have been given that number of students is 10, therefore, our median will be the average of 5th and 6th term.

60, 62, 67, 69, 70, 70, 71, 75, 76, 120.

We can see that 5th term is 70 and 6th term is 70 as well.

$\text{Median}=\frac{70+70}{2}$

$\text{Median}=\frac{140}{2}$

$\text{Median}=70$

Therefore, the median test scores will be 70.

(c) We can see that our data set has an outlier score as 120, which has increased the mean. Mean score is greater than median score. Since median is not affected by extreme value outliers, therefore, median will be the best measure of center for given test scores.

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4 years ago

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Mary can either take her lunch or buy it at school. It cost 1.95 to buy lunch. If she wants to spend no more than $30 on lunch p

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Answer:

She can buy 15 lunches.

Step-by-step explanation:

1.95x15=29.25

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3 years ago

Anita paid a total of $57.50 for a blazer. The price of the blazer was $52.85. What was the sales tax rate? 4.56% 8.08% 8.79%

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The sales tax rate was 8.79%.

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3 years ago

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Find the product. (n + 8)(n - 2)

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If you would like to find the product (n + 8) * (n - 2), you can do this using the following steps:

(n + 8) * (n - 2) = n * n - 2 * n + 8 * n - 8 * 2 = n^2 + 6 * n - 16

The correct result would be n^2 + 6 * n - 16.

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3 years ago

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