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3 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

Scilla [17]3 years ago

4 0

Answer:

A: There is no solution

Step-by-step explanation:

This is not a very likable question.

Y=3x-4

9x-3y=14

Put the y value from the first equation into the second.

9x - 3(3x - 4) = 14 Remove the brackets

9x - 9x + 12 = 14 Combine like terms on the left

12 = 14 When you get this kind of conclusion, that means there is no solution. I'll graph these two for you.

Blue: y =3x - 4

Green: 9x - 3y = 14

They never touch they never meet: they are parallel. They don't give a solution.

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Simplify. (-8√2)(1/2√32) A .-64 B. -32 C. -16

xeze [42]

This = - 8 * 1/2 * sqrt2*sqrt32
= -4 * sqrt64
= -4 * 8
= -32 (answer) Its B

8 0

2 years ago

What is 43-12+12x13?

Vesnalui [34]

The answer is: 31+156x

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2 years ago

Read 2 more answers

The solution to -2[1 - 4x] = 3x + 8 is

kvasek [131]

Answer: " 14 " .

________________________

→ " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

→ -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

→ a(b + c) = ab + ac .

________________________

As such, we can rewrite:

→ -2(1 − 4x) = (-2)(1) + (-2)(-4x) ;

= - 2 + 8x ;

↔ 8x − 2 ;

________________________

Now, rewrite the entire expression:

→ 8x − 2 = 3x + 8 ;

________________________

Subtract "(3x)" from each side of the equation;

and add "2" to each side of the equation:

________________________

→ 8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:

→ 5x = 10 ;

Now, divide each side of the equation by "5" ;

to isolate "x" on side of the equation;

& to solve for "x" ;

________________________

→ 5x/5 = 10/5 ;

to get:

________________________

→ x = 2 .

________________________

Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;

when "x = 2" :

________________________

Note the given equation:

________________________

→ -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

→ -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

→ 3(2) + 8 = 6 + 8 = 14 .

___________________________________

→ 14 =? 14 ??? ; Yes!

___________________________________

Hope this is helpful to you!

___________________________________

5 0

2 years ago

X - 7 = -1, what does 'x' equal?

antiseptic1488 [7]

Answer:

x=6

Step-by-step explanation:

x-7=-1 add -1 to other side of the equation

x-6=0 add six to the zero

x=6

5 0

2 years ago

A random sample of 12 recent college graduates reported an average starting salary of $54,000 with a standard deviation of $6,00

Marianna [84]

Answer: a.) $50188 to $57812

Step-by-step explanation: Confidence Interval (CI) is an interval of values in which we are confident the true mean is in.

The interval is calculated as

x ± $z\frac{s}{\sqrt{n} }$

a. For a 95% CI, z-value is 1.96.

Solving:

54,000 ± $1.96.\frac{6000}{\sqrt{12} }$

54,000 ± $1.96\frac{6000}{3.464}$

54,000 ± 1.96*1732.102

54,000 ± 3395

This means the interval is

50605 < μ < 57395

With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or from 50188 to 57812$.

b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.

4 0

1 year ago