MATHEMATICS HIGH SCHOOL

Solve the following system of equations by substitution and select the correct answer below: 4x − 6y = 28 8x − 4y = 24

Answers

Answer 1
Answer:

Answer:

the solution is the point (1,-4)

Step-by-step explanation:

we have

4x-6y=28

isolate the variable x

4x=28+6y

x=7+1.5y -----> equation A

8x-4y=24 -----> equation B

substitute the equation A in equation B

8(7+1.5y)-4y=24

56+12y-4y=24

12y-4y=24-56

8y=-32

y=-4

Find the value of x

x=7+1.5(-4)=1

the solution is the point (1,-4)
Answer 2
Answer: According to my calculation it should be C: x=  1 and y = - 4
NOTE: I had it right on my online class.

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Six blood pressure readings are 115, 120, 123, 121, 121, and 112 mm Hg. What is the average (mean) value?

Answers

Answer:

118.666666667 mmHg

Step-by-step explanation:

To find the average/mean of a set of values, you add all the values together, then divide them by the amount of values in the set.

115+120+123+121+121+112 = 712

Since there is 6 values, you divide this by 6.

712÷6 = 118.666666667 mmHg

Hope this helps!

Find the constant of variation, k, for the above table. What does this represent?

Answers

we see that wne price increase, tax increse
direct variation
y=kx
price=x
tax=y

when x=1
y=0.06
0.06=k1
0.06=k


k is 0.06
it reprsent the rate of change

What is the seventh term of (x + 4)8?A. 114,688x2
B. 114,688x3
C. 114,688x4
D. 114,688x5

Answers

The (p+1)-th term of the Newton binomial expansion

(a+b)^(n)

is given by

t_(p+1)=\dbinom{n}{p}\,a^(n-p)\,b^(p)
__________________________

We want the 7th term. Hence, we set p+1 to be 7:

p+1=7~~\Rightarrow~~p=6


Then, the 7th term is

t_(7)=\dbinom{8}{6}\,x^(8-6)\,4^(6)\n\n\n t_(7)=(8!)/(6!\cdot (8-6)!)\cdot x^(8-6)\cdot 4^(6)\n\n\n t_(7)=(8\cdot 7\cdot \diagup\!\!\!\! 6!)/(\diagup\!\!\!\! 6!\cdot 2!)\cdot x^(2)\cdot 4^(6)\n\n\n t_(7)=(8\cdot 7)/(2\cdot 1)\cdot x^(2)\cdot 4^(6)\n\n\n t_(7)=28\cdot x^(2)\cdot 4,096\n\n \boxed{\begin{array}{c} t_(7)=114,688\,x^(2) \end{array}}


Correct answer: \text{A. }114,688\,x^(2).

Why does culture establish the standard by which quality of life is measured?a.

Cultures are defined by the demographics of their populations.
b.

Culture establishes the framework be which individuals judge their environment.
c.

Culture defines the domains of family and health that define quality of life.
d.

A society’s culture defines its socioeconomic conditions.

Answers

"Culture establishes the framework be which individuals judge their environment" is the way culture establishes the standard by which quality of life is measured. The correct option among all the options that are given in the question is the second option or option "b". I hope the answer has helped you.

Answer:

B. Culture establishes the framework by which individuals judge their environment.

Step-by-step explanation:

The correct answer to the question is option B.

Culture is the social behavior found in our societies.

Culture inhibits characteristics of a particular group of people or a community as a whole show casing their language, religion, norms etc.

Culture provides important social and economic benefits. People with same cultural backgrounds tend to get along better.

Solve 2/3 (6x+30)=x+5(x+4)–2x

Answers

expand the left hand side of the equation first. this is easy since two thirds of six is four and two thirds or thirty is twenty.
4x + 20 = x + 5(x+4) - 2x
expand the right hand side :
4x + 20 = x + 5x + 20 -2x

Collect up all the x terms on the right hand side: 4x + 20 = x + 5x - 2x + 20
So the total number of "x" 's on the right hand side is 1 + 5 -2 = 4
4x + 20 = 4x + 20
Hey ! look at that ! you've got the same thing on both sides of the equation ! this means that it doesn't matter what value x is, the equation works for ALL values of x . ( ANSWER)

At the beginning of this month, the balance of Agatha's checking account was $782.39. So far this month, she has received a paycheck via direct deposit of $932.48, been charged a monthly service fee from her bank of $20.00, used a debit card linked to her account to make a purchase of $36.82, written a check for $155.03 that has already been deposited, and deposited a check written to her for $79.13. What is the current balance of Agatha's checking account?

Answers

Agatha started out the month with $782.39 cents. After she received her paycheck, she had a balance of $1,714.87. Agatha then had a service fee and few purchases which left the total at $1503.02. She then had an additional check written to her for $79.13. The current balance after her last deposited check was $1,582.15.

Answer: $1582.15

Step-by-step explanation:
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