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bazaltina [42]
3 years ago
5

What is the answer to this inequality -45 <-9k

Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0

Answer: 5 > k

Step-by-step explanation: When you're asked to solve an inequality like -45 < -9k, your goal should be the same as it was when solving equations which is to get <em>k</em> by itself on one side.

In this problem since <em>k</em> is being multiplied by -9 on the right side of the inequality, to get <em>k</em> by itself, we divide both sides by -9 but here is the rule you have to watch out for when solving inequalities.

When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign. So this less than in our original problem becomes greater than in our second step. I would recommend switching it as soon as possible so you don't forget.

Let's rewrite our original inequality.

-45 < -9k

On the right side, the -9's cancel and we're left with <em>k</em> and on the right side, -45 divided -9 is -5. So we have <em>5 </em><em>></em><em> k</em>.

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What is the answer to <br> 6+0.10x=0.15x+8
asambeis [7]

Let's solve this problem step-by-step.

6+0.1x=0.15x+8

Step 1: Simplify both sides of the equation.

0.1x+6=0.15x+8

Step 2: Subtract 0.15x from both sides.

0.1x+6−0.15x=0.15x+8−0.15x

−0.05x+6=8

Step 3: Subtract 6 from both sides.

−0.05x+6−6=8−6

−0.05x=2

Step 4: Divide both sides by -0.05.

-0.05x/-0.05=2/-0.05

So, the answer for this problem is x=-40

4 0
4 years ago
How do you do this Problem using factoring (fx)=4x^2-25?
Yanka [14]

Answer: (2x+5)(2x−5)

Step-by-step explanation:For me, what i like to do is to try divide the problem into two parts. For example in this problem, you would divide the 4x^2 into two 4x(since 4x+4x = 4x^2). Then 25 can be divide into into 5s (5x5=25). SInce you know that its a negative 25, you know that it has to be a negative on one of the sides. So the answer in factor form is (2x+5)(2x−5)

5 0
3 years ago
(03.05 LC) The graph of a function f(x) is shown below: graph of line segment going through ordered pairs negative 3, negative 4
Aleks [24]

Answer:

−3 < x ≤ 1

Step-by-step explanation:

The domain of a function is the set of x-values.

In this graph, the open circle at (-3, -4) means the segment goes back up to this point but this point is not part of the segment itself.

The closed circle at (1, 2) means this is the endpoint and part of the segment.

This means the x-values range from almost -3 up to and including 1; this gives us the inequality

−3 < x ≤ 1

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3 years ago
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