All categories

2 years ago

CAN SOMEONE SHOW ME STEP BY STEP?!?

Mathematics

1 answer:

My name is Ann [436]2 years ago

8 0

So first let’s multiply both sides by 10
Now we are left with this:
-4x-90<9

Now you want to move the -90 to the other side and when you do this you have to change the sign as well so now you have this:
-4x<9+90

Now add 9 and 90 together and you’ll get this:
-4x<99

Then divide both sides by -4 and flip the inequality sign

x>- 99/4

Your answer would be:

x>- 99/4

Hope this helps! :3

You might be interested in

Factor both quadratic expressions. (x 4 + 5x 2 - 36)(2x 2 + 9x - 5) = 0

Sonbull [250]

So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: $x^4+9x^2-4x^2-36$

Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: $x^2(x^2+9)-4(x^2+9)$

Now you can rewrite this as $(x^2-4)(x^2+9)$ , however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is $a^2-b^2=(a+b)(a-b)$ . Applying that here, we have $(x+2)(x-2)(x^2+9)$ . x^4 + 5x^2 - 36 is completely factored.

Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: $2x^2+10x-x-5$

Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: $2x(x+5)-1(x+5)$

Now you can rewrite the equation as $(2x-1)(x+5)$ . 2x^2 + 9x - 5 is completely factored.

<h3><u>Putting it all together, your factored expression is $(x+2)(x-2)(x^2+9)(2x-1)(x+5)=0$ </u></h3>

5 0

2 years ago

Drew's van is 200 centimeters tall. The height limit for a bridge is 3

horrorfan [7]

Answer:

1. 100cm

2. 300.1cm

3. 200cm

4. 400cm

5. 299.00cm

Step-by-step explanation:

300-200=100

300+0.01=301

300-100=200

300+100=400

300-0.01=299.99

4 0

3 years ago

What is 17/21 - 2/10 = ___ - ___ = ____

umka2103 [35]

Step-by-step explanation:

step 1. 17/21 - 2/10 = x (in order to subtract you need a common denominator)

step 2. (17/21)(10/10) - (2/10)(21/21) = x

step 3. 170/210 - 42/210 = x

step 4. 128/210 = 64/105 = x

step 5. x = 64/105.

5 0

2 years ago

Finding a parametric description of the solution set of a linear system is the same as solving the system.Choose the correct ans

Grace [21]

Answer:

The answer is "Choice B".

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, in all choices, the choice (B) is Correct because in the declaration of the statement Only when the process has had at least another answer could a candidate solution for more than just a linear model explicitly uses a parametric description that's why the given statement is true.

7 0

3 years ago

Solve 80% of x = 100 or 0.8x = 100

suter [353]

Answer:

125

Step-by-step explanation:

divide both sides of the equation by 0.8

0.8÷0.8=0.8÷100

any expression divided by 1 is itself

x=100÷0.8

divide the numbers

100÷0.8=125

125 is your answer

7 0

3 years ago