MATHEMATICS HIGH SCHOOL

An equation in the system is y = x + 1. What is the other equation in the system if the solution is only at (0, 1)?x − y = 1

2x + 2y = 4

x + y = 1

x + 2y = 2

Answers

Answer 1

Answer:

Answer:

The correct options are 3 and 4.

Step-by-step explanation:

An equation in the system is

$y=x+1$

The only one solution of the system of equation is (0,1). It means the equation must be satisfied by the point (0,1) and the equation is not equivalent to the given equation.

Two equations $a_1x+b_1y+c_1=0$ and $a_2x+b_2y+c_2=0$ are equivalent if

$(a_1)/(a_2)=(b_1)/(b_2)=(c_1)/(c_2)$

All the given equations are not equivalent equations because for all equation s

$(a_1)/(a_2)\neq (b_1)/(b_2)\neq (c_1)/(c_2)$

Check each equation by (0,1).

For equation 1,

$x-y=1$

$0-1=1$

$-1=1$

This statement is false, therefore the option 1 is incorrect.

For equation 2,

$2x+2y=4$

$2(0)+2(1)=4$

$2=4$

This statement is false, therefore the option 2 is incorrect.

For equation 3,

$x+y=1$

$0+1=1$

$1=1$

This statement is true, therefore the option 3 is correct.

For equation 4,

$x+2y=2$

$0+2(1)=2$

$2=2$

This statement is true, therefore the option 4 is correct.

Answer 2

Answer: A)
x − y = 1
0 - 1 = 1
-1 = 1

Not true.

B)
2x + 2y = 4
2(0) + 2(1) = 4
0 + 2 = 4
2 = 4
Not true

C)
x + y = 1
0 + 1 = 1
1 = 1
True

D)
x + 2y = 2
0 + 2(1) = 2
2 = 2
True

The answer is C and D.

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The weight of male Americans between the ages of 18 and 25 is normally distributed, with a mean of 164.5 lb and a standard deviation of 26 lb. One definition of obesity states that a person is obese if the z-score of his or her weight is greater than 2.What is the obesity threshold weight for a young adult American male? Round your answer to the nearest tenth.

Answers

Z- score equal to 2 means 2 standard deviations greater than the mean.
Mean + 2 z = 164.5 + 2 * 26 = 164.5 + 52 = 216.5
Answer: the obesity threshold weight for a young adult American male is 216.5 lb.

Answer:

216 is correct!

Step-by-step explanation:

How do you know which operation to perform first when solving an equation?

Answers

u use PEMDAS which means:

P= parenthesis
E= exponents
M= multiplication
D=divide
A=add
S=subtract

THis is in order
can I have brainliest

Solve the following system of equations algebraically:
y = x^2+7x−4
y = −x−4

Answers

y = x² + 7x - 4
y = -x - 4

x² + 7x - 4 = -x - 4
+ x + x
x² + 8x - 4 = -4
+ 4 + 4
x² + 8x = 0
x(x) + x(8) = 0
x(x + 8) = 0
x = 0 or x + 8 = 0
   - 8 - 8
x = -8

  y = -x - 4
  y = -0 - 4
  y = 0 - 4
  y = -4
(x, y) = (0, -4)
or
y = -x - 4
y = -(-8) - 4
y = 8 - 4
y = 4
(x, y) = (-8, 4)

The solutions are (0, -4) and (8, -4).

y=x²+7x-4
y=-x-4

We can solve this system of equation by equalization method.
x²+7x-4=-x-4
x²+7x+x-4+4=0
x²+8x=0
x(x+8)=0
we have two linear equations :
x=0 ⇒ x=0 ⇒ y=-x-4=-0-4=-4
(x+8)=0 ⇒ x=-8 ⇒ y=-x-4=-(-8)-4=8-4=4

We have two solutions:
solution₁: x=0; y=-4
solution₂: x=-8; y=4

Is the following a relation a function? X Y
1 -2

1 -3

2 1

3 -2

Yes or no

Answers

no because 1 has more than one output

My grade is 92 if an assignment is worth 40% of my grade what will my grade be if I got a 0, 25, and a 50?There are no answer choices so don't ask. And I need serious accurate answers if you don't answer correctly or properly I will report you!

Answers

If you get a 0 on your assignment, your grade will be (92 * 0.6) + (0 * 0.4), which will give you a final grade of 55.2%

If you get a 25 on your assignment, your grade will be (92 * 0.6) + (25 * 0.4), which will give you a final grade of 65.2%

If you get a 50 on your assignment, your grade will be (92 * 0.6) + (50 * 0.4), which will give you a final grade of 75.2%

If you get a 75 on your assignment, your grade will be (92 * 0.6) + (75 * 0.4), which will give you a final grade of 85.2%

If you get a 100 on your assignment, your grade will be (92 * 0.6) + (100 * 0.4), which will give you a final grade of 95.2%

0:
92 times 0.6 + {0 times 0.4} = 55.2
So your grade would be a 55.2%, which is an F.

25:
92 times 0.6 + 25 times 0.4 = 65.2
So, your grade would be a D, or 65.2%

50:
92 * 0.6 + 50 * 0.4 = 75.2
Giving you a grade of 75.2, which is a C.

75:
92 * 0.6 + 75 * 0.4 = 85.2
So your grade would be a 85.2% which is a B.

My advice to you: Aim for an A+. :)

A number that represents part of a whole or part of the set is called