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NISA [10]
1 year ago
6

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

#SPJ1

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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

20

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
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