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3 years ago

Solve by substitution -4x-y=-2,y=-4x+3

Mathematics

1 answer:

IRISSAK [1]3 years ago

7 0

Answer:

No solution

Step-by-step explanation:

Substitution is done by substituting one equation into another. To begin solve one equation for a variable.

Substitute y=-4x+3 into -4x-y=-2.

-4x -(-4x + 3) = -2

-4x + 4x - 3 = -2

-3=-2

This is a false statement and there is no variable present anymore. This means the equations have no solution.

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There were 60 ducks living in a pond. If the number living at the pond increased by 30%, how many ducks now live at the pond?

timama [110]

Answer:

Step-by-step explanation:

You take the original total: 60, and multiply it by 30 to get 1,800. You then divide 1,800 by 100 to get 18. 18 is your 30%. Now, you add the 30% to 60 getting your total number of ducks: 78.

The equation version:

$\frac{a}{60} = \frac{30}{100}$

It is just proportions.

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3 years ago

X is inversely proportional to the square root of y

omeli [17]

Answer: 4

Step-by-step explanation:

The formula for inverse proportion is x = k / y. Since x is inversely proportional to the square root of y. This will be:

x = k / ✓y

When x = 12, y = 9

We have to calculate the constant of proportionality, k which will be:

12 = k / ✓9

12 = k / 3

k = 12 × 3

k = 36

To find the value of x when y = 81 will be:

x = k / ✓y

x = 36 / ✓81

x = 36 / 9

x = 4

Therefore, x = 4 when y = 81.

4 0

3 years ago

-1 2/3 / (-2 1/5)<br> solve this for me please &&' thank you

dangina [55]

Start by putting into improper fractions.
- 1 2/3 = - 5/3
- 2 1/5 = - 11/5

Now stack the fractions like this.

$\frac{ \frac{-5}{3} }{ \frac{-11}{5} }$

Here's the key part (or one of them). Cancel the minus signs. Since there are 2 of them they become a plus.

$\frac{ \frac{5}{3} } { \frac{11}{5} }$

Now invert the 11/5. That means turn it upside down. Put the 5 in the numerator and 11 in the denominator. Multiply by it by the top fraction.

$\frac{5}{3} * \frac{5}{11}$

When you do this, you just multiply top by top and bottom by bottom

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3 years ago

What is the equation of the axis of symmetry of y=-3(x+6)^2+12

nexus9112 [7]

X=-6 is the axis of symmetry

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3 years ago

Read 2 more answers

HELP QUICK!!!! PLEASE!

Tresset [83]

Answer:

Linear function

Step-by-step explanation:

<h2> $y = \frac{x}{2} - 5$ </h2><h3>Linear function</h3>

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 1.

<h2> $y = \frac{2}{x} + 3$ </h2><h3>Not linear function</h3>

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1

, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

<h2> $y = {2}^{x} - 1$ </h2><h3>Not linear function</h3>

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

<h2> $y = {x}^{2} + 7$ </h2><h3>Not linear function</h3>

<h3>Hope it is helpful...</h3>

6 0

3 years ago

Solve by substitution -4x-y=-2,y=-4x+3​

Solve by substitution -4x-y=-2,y=-4x+3