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3 years ago

Solve the system of equations using substitution. 3x + 2y = 7 y = –3x + 11

1 answer:

4 0

3x + 2y = 7
y = –3x + 11

replace y = –3x + 11 into 3x + 2y = 7

3x + 2y = 7
3x + 2(–3x + 11) = 7
3x -6x + 22 = 7
-3x = 7 - 22
-3x = -15
x = 5

y = –3x + 11
y = -3(5) + 11
y = -15 + 11
y = -4

x = 5 and y = -4

answer: D. (5, –4)

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3 years ago

Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form.

IRINA_888 [86]

Answer:

$3x-4y=-40$

Step-by-step explanation:

The standard form of a linear equation is $ax+by=c$ .

The given line has equation:

$y-4=\frac{3}{4}(x+8)$

This is the point-slope form of the given line.

To find the standard form, we clear the fraction

$4y-16=3(x+8)$

We expand the parenthesis now to get:

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We group the variables on the LHS and the constants on the RHS.

$4y-3x=24+16$

$-3x+4y=40$

Multiply through by -1

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2 years ago

If =250, then 50% of n equals

qwelly [4]

If n=250, then 50% of n can also be described as n divided by 2.

50% of n = 250/2 = 125

answer: 125

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3 years ago

Read 2 more answers

A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the

Eddi Din [679]

Answer:

a) 0.21% probability that there are no bad peaches in the peach cobbler.

b) 99.79% probability of having at least 1 bad peach in the peach cobbler

c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the peaches are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?

Desired outcomes:

12 good peaches, from a set of 12. So

$D = C_{12,12} = \frac{12!}{12!(12 - 12)!} = 1$