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2 years ago

For what values of y:

Mathematics

1 answer:

Whitepunk [10]2 years ago

7 0

Answer:

$y > \frac{3}{17}$

Step-by-step explanation:

To solve this problem, simply set the binomial, $5y - 1$ as greater than $\frac{3y - 1}{4}$ , and solve for the value of y as you would solve an equation.

Thus:

$5y - 1 > \frac{3y - 1}{4}$

Multiply both sides by 4

$4(5y - 1) > \frac{3y - 1}{4}*4$

$4*5y - 4*1 > 3y - 1$

$20y - 4 > 3y - 1$

Subtract 3y from both sides

$20y - 4 - 3y > 3y - 1 - 3y$

$17y - 4 > -1$

Add 4 to both sides

$17y - 4 + 4 > -1 + 4$

$17y > 3$

Divide both sides by 17

$\frac{17y}{17} > \frac{3}{17}$

$y > \frac{3}{17}$

Therefore, the value of y that will make the binomial $5y - 1$ greater than $\frac{3y - 1}{4}$ is $y > \frac{3}{17}$ .

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DIA [1.3K]

Answer:

75/4 cups (or 18-3/4 cups)

Step-by-step explanation:

Ignore all the wording about glue, baking soda and saline.

What this question reduces to is that the recipe for :

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Hence shaving cream needed for 10 people

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2 years ago

What is f(-2) for f(x)=1/2x^2

GarryVolchara [31]

Answer: 2

Steps:
f(-2) = 1/2x^2
f(-2) = 1/2(-2)^2
f(-2) = 1/2(4)
f(-2) = 2

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2 years ago

Find all the zeros of the equation

lapo4ka [179]

Divide both sides by -3, and replace $x^2$ with $y$ . Then

$-3x^4+27x^2+1200=0\iff y^2-9y-400=0$

Factorize the quadratic in $y$ to get

$y^2-9y-400=(y+16)(y-25)=0\implies y=-16,y=25$

which in turn means

$x^2=-16,x^2=25$

But $x^2\ge0$ for all real $x$ , so we can ignore the first solution. This leaves us with

$x^2=25\implies x=\pm\sqrt{25}=\pm5$

If we allow for any complex solution, then we can continue with the solution we ignored:

$x^2=-16\implies x=\pm\sqrt{-16}=\pm i\sqrt{16}=\pm4i$

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3 years ago

The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse

yuradex [85]

Answer:

Step-by-step explanation:

Let $x$ be the greater number and $y$ be the smaller number. We know that their difference is 15, so we have

$x-y=15$

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

$2x+8 = 3y-4 \iff 2x-3y = -12$