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Nady [450]
3 years ago
8

Please help

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0
I can see it, it's too blurry and small
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4. Solve the following system of equations for x.
Ber [7]

We are given the system of equations -:

\large{ \begin{cases} 2x + 3y =  - 14 \\ y = 6x + 22 \end{cases}}

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

\large{2x + 3(6x + 22) =  - 14}

Expand 3 in the expression so we can combine like terms and isolate x-variable.

\large{2x + 18x + 66 =  - 14}

Then combine like terms.

\large{20x + 66 =  - 14}

Get rid of 66 from the left side by subtracting both sides by itself.

\large{20x + 66 - 66 =  - 14 - 66} \\  \large{20x =  - 80}

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

\large{ \frac{20x}{20}  =  \frac{ - 80}{20} }

Simplify to the simplest form.

\large{x =  - 4}

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

  • x = -4

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

5 0
3 years ago
Dy/dxif y = 4x3 + 3x2 + 2
DIA [1.3K]
The function is 

                                \displaystyle{ y=4x^3+3x^2+2.

We recall that the derivative of each monomial ax^b is a\cdot b\cdot x^{b-1}, and the derivative of a constant (function) is 0.

According to this:

\frac{d}{dx}(4x^3+3x^2+2)=4\cdot 3\cdot x^2 + 3\cdot 2\cdot x+0 =12x^2+6x.


Answer: 12x^2+6x
7 0
3 years ago
Find the maximum value of y = -x^2 + 6x + 5​
Firdavs [7]
The answer is C, you use the formula x=-b/2a
7 0
3 years ago
Read 2 more answers
Mary has 18 beads, and 6 of them are red. the rest are blue. what fraction of the beads are blue?
Finger [1]

Answer:

1/3

Step-by-step explanation:

I believe you would divide 6 by 13

7 0
3 years ago
Read 2 more answers
Karen earns $62.25 for working 9 hours. if the amount she earns varies with the number of hours she works how much will she earn
nata0808 [166]

Answer:

$103.75

Step-by-step explanation:

we know that

Karen earns $62.25 for working 9 hour

so

using proportion

Find out  how much she will  earn for working 15 hours

\frac{62.25}{9}\ \frac{\$}{h}=\frac{x}{15}\ \frac{\$}{h}\\\\x=62.25(15)/9\\\\x=\$103.75

6 0
3 years ago
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