<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-11x%3D-28" id="TexFormula1" title="x^{2} -11x=-28" alt="x^{2} -11x=-28" align="

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Julli [10]

3 years ago

absmiddle" class="latex-formula">

Mathematics

2 answers:

Amiraneli [1.4K]3 years ago

7 0

Answer:

x= 7

x= 4

Step-by-step explanation:

Move terms to the left side

2−11=−28

x^{2}-11x=-28x2−11x=−28

2−11−(−28)=0

Use the sum-product pattern

Identify a, b, and c in your equation and then find two numbers that when multiplied together equal c and when added together equal b.

2−11+28=0

Factor

Write your equation in factored form

(−7)(−4)=0

Create two separate equations

Set each factor equal to zero

−7=0

x-7=0x−7=0

−4=0

Solve

Rearrange and isolate the variable to find each solution

x=7x=7

Solution

=7=4

amid [387]3 years ago

5 0

Answer:

x = 4, 7

Step-by-step explanation:

We start off with the equation $x^{2} -11x = -28$ . from there, we can add 28 to both sides to get $x^{2} -11x+28 = 0$ . From there, we have to factor the equation. In order to factor it, we have to ask ourselves what 2 numbers would add up to -11 and multiply to 28? In this case, the answer would be -7 and -4. So, we get the equation (x-7)(x-4) = 0. Then, we set each part of the equation = 0 to get the anwsers x = 4 and 7. Hope this helps!

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Pls answer this with an explanation if you can pg3 pt12

faust18 [17]

With each gallon you need 11 gallons with 2 parts red 9 parts yellow and since 11x4= 44 you need to do this 4 times
4x2(red)= 8
4x9(yellow)=36
36+8=44
basically 8 gallons of red
i hope this made sense

7 0

3 years ago

Help meeeeeeeeeeeeeeeeeeeeeeeeeeee

pochemuha

Answer:

Step-by-step explanation:

I think the easiest way to go about this is to choose on of the answers and fill it in to see if it's correct. Since you only have 4 possible answers, there's no need to actually solve this.

In the question it already tells us that x does not equal 0, so that answer is automatically not correct. Now your down to three possible answers.

Start with -3. First, fill in the x with -3 for what the equation is supposed to equal. That gives you 3/-3. Simplified, that is -1. Now put -3 in for the x in the equation. That gives you 3/2(-3) + 1/2. After running that through your calculator or solving it, you end up with 0. So -3 is not your answer.

Next we'll try the 2. Do as we did last time, and fill in the x on the answer part of the equation. You now have 3/2. That doesn't simplify so it stays as is. Now for the equation. That makes it 3/2(2) +1/2. Put that in your calculator or solve, and you get 5/4. 5/4 does not equal 3/2 so 2 is not your answer.

That leaves 3. You can go ahead and run through the steps above using 3 if you want to double check, but since it's the only answer left, there isn't really a need to.

Hope this helps :)

6 0

2 years ago

Catherine invested a principal of $1,650 in her bank account with interest rate 3.1 % How much interest did she earn in 14 years

never [62]

Answer:

$693

Step-by-step explanation:

Catherine invested a principal of $1,650 in her bank account with;

interest rate of 3.1%

How much interest did she earn in 14 years?

To find the amount accumulated in the 14 years, we use the formula: