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NARA [144]
3 years ago
15

2x+5y=12

Mathematics
1 answer:
anastassius [24]3 years ago
8 0
Y = -3x - 1......so we sub in -3x - 1 in for y in the other equation

2x + 5y = 12
2x + 5(-3x - 1) = 12....now distribute the 5 through the parenthesis
2x - 15x - 5 = 12...add 5 to both sides
2x - 15x = 12 + 5..combine like terms
-13x = 17...divide both sides by -13
x = -17/13
now sub in -17/13 for x in the other equation
y = -3x - 1
y = -3(-17/13) - 1
y = 51/13 - 1
y = 51/13 - 13/13
y = 38/13

so the solution is (-17/13, 38/13)

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Find the indicated values, where g(t)=t^2-t and f(x)=1+x g(f(2)+3)
sleet_krkn [62]

Answer:

g(f(2)+3)=30

Step-by-step explanation:

We have the two functions:

g(t)=t^2-t\text{ and } f(x)=1+x

And we wish to find:

g(f(2)+3)

First, let’s find f(2) first. So, we will substitute 2 for x for f(x):

f(2)=1+(2)=3

Hence, we can now substitute 3 for f(2):

g(f(2)+3)=g(3+3)=g(6)

Now, we can find g(6). Substitute 6 for t for g(t):

g(6)=(6)^2-(6)=36-6=30

Therefore:

g(f(2)+3)=30

4 0
3 years ago
Statistics show on average an adult person receives 425 pieces of mail each year with a standard deviation of 50. What are the m
Kisachek [45]

Answer:

The answer is 60.11

Step-by-step explanation:

An adult person receives 425 pieces of mail each year with a standard deviation of 50.

Now, we have the following details  :

Mean of sample = 425

sigma = 50

Standard error = \frac{425}{\sqrt{50} }

= \frac{425}{7.07} = 60.11

4 0
3 years ago
What is the solutions of the equation 2 (x+2) ^2-4=28
JulsSmile [24]

Answer:

x = 2            x = -6

Step-by-step explanation:

2 (x+2) ^2-4=28

Add 4 to each side

2 (x+2) ^2-4+4=28+4

2 (x+2) ^2= 32

Divide by 2

2/2 (x+2) ^2=32/2

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Take the square root of each side

sqrt((x+2)^2) =±sqrt( 16)

x+2 = ±4

Subtract 2 from each side

x+2-2 = -2±4

x = -2±4

x = -2+4      and x = -2-4

x = 2            x = -6

3 0
3 years ago
Ba + 3ca = -2<br><br> Solve for a
monitta

We have:

ba + 3ca = -2

Extract common factor "a":

a(b + 3c) = -2

Divide by the term (b + 3c):

a = \dfrac{-2}{b+3c}

3 0
3 years ago
Solve for x: -5/6(8+-5/3x)=-10
Anon25 [30]
X=-2 2/5
X=-2.4
X=-12/5
6 0
3 years ago
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