All categories

3 years ago

7x + 2y = 248x + 2y = 30

Mathematics

2 answers:

vekshin13 years ago

7 0

Answer:x=3 and y=4

Step-by-step explanation:

Let's solve your system by substitution.

x+y=7;x+2y=11

Step: Solvex+y=7for x:

x+y=7

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7forxinx+2y=11:

x+2y=11

−y+7+2y=11

y+7=11(Simplify both sides of the equation)

y+7+−7=11+−7(Add -7 to both sides)

y=4

Step: Substitute4foryinx=−y+7:

x=−y+7

x=−4+7

x=3(Simplify both sides of the equation)

bagirrra123 [75]3 years ago

5 0

(8x + 2y) - (7x + 2y) = 30 - 24

X = 6

You might be interested in

Prove that f(x)=x+3/2 and g(x)=2x-3are inverse

goldfiish [28.3K]

Answer:

Proofs

Step-by-step explanation:

$f(x) = x + \frac{3}{2}$

$y = x + \frac{3}{2}$

$x = y + \frac{3}{2}$

$x - \frac{3}{2} = y$

${f}^{ - 1} (x) = x - \frac{3}{2}$

They are not inverse because f^-1(x) = x - 3/2 is not the inverse to g(x) = 2x - 3.

5 0

3 years ago

A basketball coach kept stats for his team in free throw percentage and steals (among others). At the last game, Erin's free thr

Setler79 [48]

Answer:

Due to the higher z-score, she did better in the free throw category.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

She did better in the category that she had the higher z-score:

Free-throws:

Her free throw percentage was 79%, which means that $X = 79$