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3 years ago

Ow many solutions does the system of equations –6a + b = 14 and –12a + 2b = 28 have?

Mathematics

1 answer:

Dmitry [639]3 years ago

3 0

Indefinite amount of solutions.

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A quiz consist of 2 true-or-false questions 3 are multiple choice questions. The multiple choice questions have 3 options each.

Ahat [919]

Part 1: 2×2×3×3×3=108 (c)
Part 2: 10×9×26×25×4=234000 (c)
Part 3: 10×9×8×7×6×5×4×3×2×1÷(3×2×1)=604800 (d)
Part 4: 11C4=11×10×9×8÷(4×3×2×1)=330 (a)
Part 5: ⅕=20% (c)
Part 6: 100-2.9=97.1 (d)

4 0

3 years ago

What is the equation of the line that had a slope of 4 and a y-intercept of -7?

nikklg [1K]

The correct answer would be D.Y=4X-7

6 0

3 years ago

What is the equation, in slope-intercept form, of the line

Sati [7]

Given:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

Slope of the given line:

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates (-1,3) and (2,2), we get;

$m_1=\frac{2-3}{2+1}$

$m_1=-\frac{1}{3}$

Thus, the slope of the given line is $m_1=-\frac{1}{3}$

Slope of the perpendicular line:

The slope of the perpendicular line can be determined by

$m_2=-\frac{1}{m_1}$

Substituting $m_1=-\frac{1}{3}$ , we get;

$m_2=-\frac{1}{-\frac{1}{3}}$

simplifying, we get;

$m_2=3$

Thus, the slope of the perpendicular line is 3.

Equation of the perpendicular line:

The equation of the perpendicular line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=3$ and the point (2,-1) in the above formula, we have;

$y+1=3(x-2)$

$y+1=3x-6$

$y=3x-7$

Thus, the equation of the perpendicular line is $y=3x-7$

Hence, Option d is the correct answer.

3 0

3 years ago

IM having trouble trying to solve this problem

Assoli18 [71]

Answer:

You would have approximately 201 insects.

Step-by-step explanation:

To calculate the final population of the insects, you need to first insert the values of each variable you know into the equation. The initial population at time $t=0$ would be 100 insects, the rate of population growth coverted to decimal form would be 0.1, and the elapsed time since time $t=0$ is 7 days. Now the new equation would be $P = 100(e)^{0.1*7}$ .