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Phantasy [73]
3 years ago
7

(3x + 5)º (6x + 13)°

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0

Answer: 18x2 + 69x + 65

Step-by-step explanation:

(3x + 5) (~6x + 13)

1. 3x(6x + 13) + 5(6x + 13)

2. 18x2 + 39x + 5(6x + 13)

3. 18x2 + 39x + 30 + 65

4. 18x2 + 69 + 65

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Which of the following linear equations represents the data chart?
BlackZzzverrR [31]

Answer: y = -x + 7

Step-by-step explanation:

The slope is \frac{5-6}{2-1}=-1, so we know the equation is of the form y=-x+b.

Substituting in the coordinates (1,6) to find b,

6=-1+b\\\\b=7

Thus, the equation is y = -x + 7

4 0
2 years ago
The function Q(x)=2x^2-kx+18. For what value of k does Q(x) have one distinct real solution? (NEEDS TO BE DONE WITHIN 2 HOURS!)
Aliun [14]

Answer:

k = 12

Step-by-step explanation:

Given:

The equation Q(x)=2x^2-kx+18

To find:

Value of k = ? for which the given equation has one distinct real solution.

Solution:

The given equation is a quadratic equation.

There are always two solutions of a quadratic equation.

For the equation: ax^{2} +bx+c=0 to have one distinct solution:

b^2 - 4ac = 0

Here,

a = 2,

b = -k and

c = 18

Putting the values, we get:

(-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12

The equation becomes:

Q(x)=2x^2-12x+18

And the one root is:

2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3

4 0
3 years ago
How do you graph y=3x-2
aleksandr82 [10.1K]

Answer:

The graph should look almost exactly like this. I used a virtual graphing chart to assist, since it is capable of showing more than paper alone.

4 0
2 years ago
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5.2+5.2= 10.4

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3 years ago
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