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1 year ago

In Exercises 1-16, solve the inequality. Graph the solution 1. 3y ≤ -9

Mathematics

1 answer:

murzikaleks [220]1 year ago

8 0

By solving the inequality we get $y\leq -3$

What is graphing the inequality?

The act of illustrating which area of the number line contains values that will "satisfy" the specified inequality is known as graphing the inequality. Take a look at the first inequality, "x > -5." The numbers that can be used to substitute x in our inequality to produce a true statement can be shown on a graph of our inequality.

$3y\leq -9$

Dividing above equation by 3 we get,

$\frac{3y}{3}\leq \frac{-9}{3}\\y\leq -3$

Graph of $y\leq -3$ is

Therefore by solving the inequality we get $y\leq -3$

To learn more about graphing the inequality from the given link

brainly.com/question/24372553

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Explain how to compare 513251 and 513521 to find the greater number

Annette [7]

What you do is look at the numbers in order from the greatest number, to the least. For example, in this problem, we would start with the 5 in 513251, and the 5 in 513521. Since they are both fives, we don't know yet which one is bigger. So we move onto the next number, which would be the 1 in 513251, and the 1 in 513521. They are both the same, so we go onto the 3 in 513251, and the 3 in 513521. Those are also both the same, to we go onto the 2 in 513251, and the 5 in 513521. As you can see, the 5 from 513521 is greater then the 2 in 513251, so that shows that 513521 is greater.

6 0

3 years ago

If : f(x)=x^2, g(x)=x-1. Find (f×g)(x).<br>

kramer

Answer:

$\boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}$

Step by step explanation:

Given that,

$f(x) = {x}^{2}$

$g(x) = x - 1$

Solution:

Solving for (f•g)(x):

$= f(x) \cdot g(x)$

Now substitute the given values.

$= x {}^{2} \cdot(x - 1)$

$= x {}^{2} (x - 1)$

Apply distributive property:

$= (x ^{2} \cdot x) - x {}^{2} \cdot 1$

$\boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}$

Hence,f•g(x) will be $x {}^{3} - x {}^{2}$ .

8 0

2 years ago

What is the biggest possible answer you can get by putting

Arte-miy333 [17]

Answer:

9-4+(5x3)

Step-by-step explanation:

9-4+15

24-4

6 0

3 years ago

Detmermine the best method to solve the following equation, then solve the equation. (3x-5)^2=-125

liq [111]

For the given equation;

$(3x-5)^2=-125$

We shall begin by expanding the parenthesis on the left side, after which we would combine all terms on and move all of them to the left side, which shall yield a quadratic equation. Then we shall solve.

Let us begin by expanding the parenthesis;

$\begin{gathered} (3x-5)^2\Rightarrow(3x-5)(3x-5) \\ (3x-5)(3x-5)=9x^2-15x-15x+25 \\ (3x-5)^2=9x^2-30x+25 \end{gathered}$

Now that we have expanded the left side of the equation, we would have;

$\begin{gathered} 9x^2-30x+25=-125 \\ \text{Add 125 to both sides and we'll have;} \\ 9x^2-30x+25+125=-125+125 \\ 9x^2-30x+150=0 \end{gathered}$

We shall now solve the resulting quadratic equation using the quadratic formula as follows;

$\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Where;} \\ a=9,b=-30,c=150 \\ x=\frac{-(-30)\pm\sqrt[]{(-30)^2-4(9)(150)}}{2(9)} \\ x=\frac{30\pm\sqrt[]{900-5400}}{18} \\ x=\frac{30\pm\sqrt[]{-4500}}{18} \\ x=\frac{30\pm\sqrt[]{-900\times5}}{18} \\ x=\frac{30\pm\sqrt[]{-900}\times\sqrt[]{5}}{18} \\ x=\frac{30\pm30i\sqrt[]{5}}{18} \\ \text{Therefore;} \\ x=\frac{30+30i\sqrt[]{5}}{18},x=\frac{30-30i\sqrt[]{5}}{18} \\ \text{Divide all through by 6, and we'll have;} \\ x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3} \end{gathered}$

ANSWER:

$x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3}$

3 0

1 year ago

193 is what percent of 256? Round to the nearest thousandth.

jenyasd209 [6]

Answer:

75.391

Step-by-step explanation:

193x100/256=75.391

3 0

3 years ago