MATHEMATICS HIGH SCHOOL

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?y = 2x – 5

2y – 4x =

a. –10
b. –5
c. 5
d. 10

Answers

Answer 1
Answer: For a system of equations to have infinitely many solutions, the equations have to be lineary dependent, (i.e. one of the equations is a multiple of the other equation). For the given equation to have infinitely many solutions, the second equation have to be a multiple of the first equation. The first equation can be rewritten as y - 2x = -5 The second equation is the first equation multiplied by 2, i.e. 2(y - 2x= -5) = 2y - 4x = -10 Therefore, the correct answer is -10 (option a).
Answer 2
Answer:

Answer:

-10

Step-by-step explanation:

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If a car travels 400m in 20 seconds how fast is it going

Answers

Answer:

20 m/s

Step-by-step explanation:

Distance = rate * time

400 m = rate * 20 seconds

Divide each side by 20 seconds

400m/ 20 seconds = rate

20 m/second = rate

The pressure, P, of a gas varies inversely with its volume, V. Pressure is measured in units of Pa. Suppose that a particular amount of a gas is initially at a pressure of 104 Pa at a volume of 108 L. If the volume is expanded to 432 L, what will the new pressure be?26 Pa
27 Pa
416 Pa
1728 Pa

Answers

The answer is 26 Pa.

The ideal gas law can be presented as:
PV = nRT
where
P - pressure of the gas,
V - volume of the gas,
n - amount of substance of gas,
R - gas constant,
T - temperature of the gas.


But, we do not need to know all of the equation members since the right side of the equation is not affected and will remain the same. It is enough the left side of the equation:

P₁V₁ = P₂V₂

It is given:

P₁ = 104 Pa

V₁ = 108 L

V₂.= 432 L


The unknown is P₂ = ?


P₁V₁ = P₂V₂.

104 Pa × 108 L = P₂ × 432 L

11,232 Pa L = P₂ × 432 L

P₂ = 11,232 Pa ÷ 432 

P₂ = 26 Pa


Therefore, the new pressure will be 26 Pa.

Which of the following is equivalent to log9w?log9 + logw
log9 - logw
w(log9)
9(logw)

Answers

Answer:

Option A is correct

\log 9 + \log w

Step-by-step explanation:

Using the logarithmic rules:

\log mn = \log m+ \log n

As per the statement:

Given the following:

\log 9w

Apply the logarithmic rules we have;

\log 9 + \log w

Therefore, the  following is equivalent to log 9w is:

\log 9 + \log w
Look over your textbook for the properties of logarithms.
Recall that adding together two logs of the same base = one log where the arguments are multiplied together.
(note a log without a number written below is assumed to be base 10)

\log(9w) = \log(9)+\log(w)

The perimeter of a rectangle is 30 cm. The width of the rectangle is 7 cmWhat is the area of the rectangle?

A) 56 cm

B) 49 cm

C) 14 cm

Answers

Let's say the length of the rectangle is L.

We have P= (L+W)*2
⇒ 30 cm= (L+ 7 cm)*2
⇒ L+ 7 cm= 15 cm
⇒ L= 8 cm.

S= L*W= 8 cm* 7 cm= 56 cm^2.

The answer is A) 56 cm^2.

Hope this helps~
perimeter = 2(l+w)
30 = 2(l+7)
30 = 2l + 14
30 - 14 = 2l
16 = 2l
8 = l

l = 8
w = 7

area = l x w = 8 x 7 = 56 cm²

Which statement is true about the equation 3/4z = 1/4z − 3 + 5? It has no solution. It has one solution It has two solutions. It has infinitely many solutions.

Answers

A linear equation is known to have quite of 1 solution
(3)/(4)z = (1)/(4) z - 3 + 5

solve for the value(s) of z
(3)/(4)z -  (1)/(4) z = 2 <span>
(z)/(2) = 2
z = (2)/(2)
z = 1 

Which of the following is not a factor involved in the process of evaluating an observational study?Introduction
Results
Discussion
Bias

Answers

Answer:

The answer is D, bias. If bias were a factor in an observational study(which it is not), then the study would be inaccurate due to someone's personal views affecting the results. Therefore bias is not a factor in the process of evaluating an observational study.

I don't know who verified the answer of the person why thought the answer was A, but they were incorrect.
Results and Discussion are definitely very relevant for examining an observational study - they contain the core of the study, so they will definitely be considered when evaluated.
So we choose between "Bias" and "Introduction".

I think that the correct answer is "Introduction" -as it doesn't include any new information about the study, and only summarizes previous work.
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