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2 years ago

HELP I have attatched an image i will give extra points for best answer

Mathematics

1 answer:

Eduardwww [97]2 years ago

5 0

Answer:

y = 2x

Step-by-step explanation:

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when x = 4, y = 8, that is

8 = 4k ( divide both sides by 4 )

2 = k, thus

y = 2x ← equation of proportion

You might be interested in

If the Price Elasticity of Demand for a product is -.8, and the product currently sells for $100 per unit, how much will demand

egoroff_w [7]

Answer: Percentage change in quantity would decrease by 12.5%.

Step-by-step explanation:

Since we have given that

Price elasticity of demand = -0.8

Price of each unit = $100

After change, price of each unit becomes = $110

% change in quantity would be

$\dfrac{New-old}{old}\times 100=\dfrac{110-100}{100}\times 100=10\%$

As we know the relation between price, quantity and elasticity.

$e_D=\dfrac{\text{\% change in quantity}}{\text{\%change in price}}\\\\-0.8=\dfrac{10\%}{x}\\\\x=\dfrac{10}{-0.8}\\\\x=-12.5\%$

Hence, Percentage change in quantity would decrease by 12.5%.

8 0

3 years ago

What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?

Mnenie [13.5K]

Answer: Last option.

Step-by-step explanation:

Given the equation:

$\frac{3}{m+3}-\frac{m}{3-m}=\frac{m^2+9}{m^2-9}$

Follow these steps to solve it:

- Subtract the fractions on the left side of the equation:

$\frac{3(3-m)-m(m+3)}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{9-3m-m^2-3m}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}$

- Using the Difference of squares formula ( $a^2-b^2=(a+b)(a-b)$ ) we can simplify the denominator of the right side of the equation:

$\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{(m+3)(m-3)}$

- Multiply both sides of the equation by $(m+3)(3-m)$ and simplify:

$\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}$

- Multiply both sides by $m-3$ :

$(-m^2-6m+9)(m-3)=\frac{(m^2+9)(3-m)(m-3)}{(m-3)}\\\\(-m^2-6m+9)(m-3)=(m^2+9)(3-m)$

- Apply Distributive property and simplify:

$(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0$

- Divide both sides of the equation by -6:

$\frac{-6m^2+36m-54}{-6}=\frac{0}{-6}\\\\m^2-6m+9=0$

- Factor the equation and solve for "m":

$(m-3)^2=0\\\\m=3$

In order to verify it, you must substitute $m=3$ into the equation and solve it:

$\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}$

<em>NO SOLUTION</em>

7 0

2 years ago

Helppppp plzzzzzzz nowww

Harlamova29_29 [7]

Answer:

C the 90 degrees

Step-by-step explanation:

8 0

2 years ago

Probability. <br><br> CORRECT answer gets brainliest.

Dima020 [189]

The probability of spinning on yellow would be 1/3 because this is broken into 3 pieces and that would be the probability of something that has been broken into 3 pieces, and 1/3 in decimal form would be 0.33.

The probability of spinning a blue would be 1/2 because the blue is broken into 1/2 of the spinner, therefore the probability of spinning a blue would be 1/2, and 1/2 in decimal form would be 0.5.

Therefore your answers are,

Blue=0.5

Yellow=0.33

3 0

3 years ago

What is the answer 5(x-4)=3x+4

ruslelena [56]

Step-by-step explanation:

Simplify the left side:

5x - 20 = 3x + 4

Move all terms containing x to the left side of the equation:

2x - 20 = 4

Move all terms not containing x to the right side of the equation:

2x = 24

Divide each term by 2 and simplify:

x = 12

4 0

3 years ago

Read 2 more answers