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3 years ago

Solve the equation with substitution 3x-2y=9 Y=2x-7

1 answer:

3 0

$3x-2y=9 \\
y=2x-7 \\ \\
\hbox{substitute 2x-7 for y in the 1st equation:} \\
3x-2(2x-7)=9 \\
3x-4x+14=9 \\
-x+14=9 \ \ \ |-14 \\
-x=-5 \ \ \ |\times (-1) \\
x=5 \\ \\
y=2x-7=2 \times 5-7=10-7=3 \\ \\
\boxed{(x,y)=(5,3)}$

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likoan [24]

The first one is the correct answer

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Ivan purchased stock in a company at an initial price of $8 per share. The share value reached $18 after 10 days and then began

Butoxors [25]

The quadratic equation that best represents his model of the relationship between stock value and time is given by:

$y = -0.0976(x - 10)^2 + 18, x \geq 0$

The graph is given at the end of the answer.

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

$y = a(x - h)^2 + k$

In which a is the leading coefficient.

In this problem, the maximum value was a share value of $18 after 10 days, hence the vertex is:

(h,k) = (10,18).

Thus:

$y = a(x - 10)^2 + 18$

Since the initial price was of $8 per share, we have that:

$8 = a(0 - 10)^2 + 18$

$-82a = 8$

$a = -\frac{8}{82}$

$a = -0.0976$

Hence the equation is:

$y = -0.0976(x - 10)^2 + 18, x \geq 0$

At the end of the answer, the sketch of the graph is given.

More can be learned about quadratic equations at brainly.com/question/24737967

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Q 32 btw pls help meeeeeeeeeeeeeeeeeeee

dezoksy [38]

Building an expression, it is found that the value of the number is given by:

x = 3/50.

<h3>What is the value of the number?</h3>

We have to look at the text step by step, to build an expression involving an equality, and then solve it to find the value of the number.

We have that <u>negative one times the sum of twice of a number x and 3</u> is given by:

-1(2x + 3) = -2x - 3.

This is equals to two times the difference of 24 times the number and 3, hence:

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x = 3/50.

More can be learned about expressions at brainly.com/question/2973027

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