Solve the equation by completing the square.

trasher [3.6K]

So,

In order to determine which fraction is greater, we have to have common denominators.

LCM of 2, 4 = 4

$\frac{1}{2}* \frac{2}{2} = \frac{2}{4}$

Now we can determine.

$\frac{2}{4} < \frac{3}{4}$

6 0

3 years ago

Read 2 more answers

2y-3x=ay-2x for y <br> please solve for y

babunello [35]

Answer:

$y= \frac{x}{-a + 2}$

Step-by-step explanation:

2y - 3x = ay - 2x

(2y - 3x) + (3x - ay) = (ay - 2x) + (3x - 2y)

2y - 3x + 3x - ay = ay - 2x + 3x - ay

2y - ay = ay - ay -2x + 3x

2y - ay = x

y(-a + 2) = x

$\frac{y(-a + 2)}{-a + 2} = \frac{x}{-a + 2}$

$y= \frac{x}{-a + 2}$

Hope this helps! :D

Can I have brainliest? :)

6 0

3 years ago

When John receives $1,000 a year from now, the $1,000 he invested today will be worth $ more than the $1,000 he receives in the

iris [78.8K]

The answer would be 2,000

8 0

3 years ago

3. As part of your weight training regimen, you want to consume lean sources of protein. You want consume at least 300 Calories

erastova [34]

Answer:

Let x ounce of chicken and y ounce of tofu were taken,

∵ One ounce of chicken provides 35 Calories and 8.5 g of protein,

So, in x ounces of chicken

Calories = 35x, Protein = 8.5x grams,

Now, One ounce of tofu provides 20 Calories and 2.5 g of protein.

So, in y ounces of tofu,

Calories = 20y and protein = 2.5y grams,

Thus, the total calories = 35x + 20y,

Total protein = 8.5x + 2.5y

According to the question,

35x + 20y ≥ 300 -----(1),

8.5x + 2.5y ≥ 48 ----(2),

Now, the cost of a pound for chicken = $ 5,

So, the cost of 16 ounces of chicken = $ 5 ( ∵ 1 pound = 16 ounces ),

⇒ the cost of 1 ounces of chicken = $\frac{5}{16}$ dollars,

Similarly, the cost of a pound of tofu = $ 2.5,

So, the cost of 1 ounces of tofu = $\frac{2.5}{16}$ dollars,

Thus, the total cost of x ounces of chicken and y ounces of tofu

$C=\frac{5}{16}x+\frac{2.5}{16}y$

Now, by graphing the above constraints ( by equation (1) and (2) )

We get a feasible region that shows the possible values of x and y,

The boundary points of the feasible region are,

(2.545, 10.545), (0, 19.2), (8.571, 0)

$C=\frac{5}{16}\times 2.545+\frac{2.5}{16}\times 10.545 = 2.443$

$C=\frac{5}{16}\times 0+\frac{2.5}{16}\times 19.2 = 3$

$C=\frac{5}{16}\times 8.571+\frac{2.5}{16}\times 0 = 2.678$

Hence, the minimum cost is $ 2.443,

For which 2.545 ounces of chicken and 10.545 ounces of tofu should be eaten.

3 0

3 years ago

In ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. Find the measure of ∠T to the nearest degree.

pogonyaev

We have been given that in ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. We are asked to find the measure of ∠T to the nearest degree.

First of all, we will draw a right triangle using our given information.

We can see that US is opposite to angle T and ST is hypotenuse of right triangle.

We know that sine relates opposite side of right triangle to hypotenuse.

$\sin=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\sin(\angle T)=\frac{US}{ST}$

$\sin(\angle T)=\frac{4}{9.7}$

Now we will use arcsin to solve for measure of angle T as:

$\angle T=\sin^{-1}(\frac{4}{9.7})$

$\angle T=24.353873017978^{\circ}$

Upon rounding to nearest degree, we will get:

$\angle T\approx 24^{\circ}$

Therefore, the measure of angle T is approximately 24 degrees.

4 0

3 years ago