MATHEMATICS HIGH SCHOOL

Solve the system of equations using substitution.y = 4x + 6
y = 2x

a. (6, 3)
b. (-3, -6)
c. (3, 6)
d. (1, 2)

Answers

Answer 1

Answer: $y=4x+6\ny=2x\n\n4x+6=2x\n2x=-6\nx=-3\n\ny=2\cdot(-3)\ny=-6\n\n\boxed{(x,y)=(-3,-6)}$

Answer 2

Answer:

Answer:

-3,-6

Step-by-step explanation:

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Factor this polynomial using the factor theorem.x^2 + 6x+ 9
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16 is 25% of what number

Answers

So the question is 16 is 25% of what number (x)

In math
"is" means equals
"of" means times

The question translates to

16 = 25% * x
16 = .25x
16/.25 = x
64 = x

x = 64

16 is 25% of 64

25% of 16 can be written as:

25% × n = 16 (Where n represents the number which 16 will be 25% of)

25% × n is the same thing as saying:

1/4 × X = 16
X/4 = 16
X/4 × 4 = 16 × 4
X = 64

This may be a bit confusing, if you require clarification, let me know!

What is the mass defect of oxygen-16? Assume the following: The atomic number of oxygen-16 is 8. The atomic mass of oxygen-16 is 15.9994 atomic mass units. The mass of one proton is 1.0073 atomic mass units. The mass of one neutron is 1.0087 atomic mass units.

Answers

To solve for the mass defect of the given atom, add up the individual masses of the nucleons, protons and neutrons. In this case, the total mass of the nucleons is solved through 8x(1.0073 + 1.0087) and is equal to 16.128. Subtracting the mass of the intact nucleus which is 15.9994 gives 0.1286. Thus, the mass defect is 0.1286.

The mass defect of oxygen-16 is 0.1286 amu.

What is mass defect?

The difference between the mass of the atom and the sum of the masses of its parts is called the mass defect (Δm).

To find the mass defect, we have to add nucleas, protons and electron masses.

Since, atomics mass= 15.9994 amu

Total mass of nucleons

= 8(mass of proton + mass of neutron)

=8(1.0073+1.0087)

= 16.128

So, the mass defect

=16.128-15.994

= 0.1286

Hence, the mass defect is 0.1286 amu.

Learn more about mass defect here:

brainly.com/question/11624098

#SPJ5

(x³-9x)/(x²-2x-3) is equal to

Answers

Answer:

Step-by-step explanation:

How much would it cost to fence in this property if fencing costs $5.00 per foot? **I cant show you the picture but these are the feet, 4 sides.**
First width is 39 1/2 feet. Second width is 50 1/6 feet
First length is 75 1/2 feet. Second length is 120 feet

A. $1,425
B. $385
C. $1,925
D. $825