Solve the inequality (-3,-3) (3,-1) on a graph

Select the correct answer. A linear function on a coordinate plane. A line passing through (1, 4), (minus 2, minus 2), intersect

Mumz [18]

Considering the given linear function, the inequality graphed is:

B. $y \geq 2x + 2$ .

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line intersects the y-axis at 2 units, hence the y-intercept is b = 2. The function also passes through (1,4), hence the slope is:

m = (4 - 2)/(2 - 1) = 2.

Thus the equation of the line is:

y = 2x + 2.

The left-side of the line is the values above the line, hence the inequality is:

B. $y \geq 2x + 2$ .

More can be learned about linear functions at brainly.com/question/24808124

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8 0

2 years ago

Use Fermat's Little Theorem to determine 7^542 mod 13.

m_a_m_a [10]

$a^{p-1} \equiv 1 \pmod p$ where $p$ is prime, $a\in\mathbb{Z}$ and $a$ is not divisible by $p$ .

$7^{13-1}\equiv 1 \pmod {13}\\7^{12}\equiv 1 \pmod {13}\\\\542=45\cdot12+2\\\\7^{45\cdot 12}\equiv 1 \pmod {13}\\7^{45\cdot 12+2}\equiv 7^2 \pmod {13}\\7^{542}\equiv 49 \pmod{13}$

4 0

3 years ago

Read 2 more answers

There is a bag filled with 4 blue and 5 red marbles.

Elan Coil [88]

4/9 (4 out of 9) because you add them all together then count the number of blue marbles then since you put back the first marble, the dominator is still the same

3 0

3 years ago

ESSENTIAL QUESTION CHECK-IN

EleoNora [17]

Answer:

parallelograms

Area = base * height

Rhombus Area = Product of the diagonals

Trapezoid Area = median * height

8 0

3 years ago

Read 2 more answers

The slope-intercept form given (6,-5) & perpendicular to -5x - 7y = -17.

tatuchka [14]

Answer:

$y=\dfrac{7}{5}x-\dfrac{67}{5}$

Step-by-step explanation:

Slope-intercept form of a linear equation:

$y=mx+b$

where:

m is the slope.
b is the y-intercept.

Rearrange the given equation so that it is in slope-intercept form:

$\implies -5x-7y=-17$

$\implies -7y=5x-17$

$\implies y=-\dfrac{5}{7}x+\dfrac{17}{7}$

Therefore, the slope of the given equation is -⁵/₇.

If two lines are perpendicular to each other (at right angles), the product of their slopes will be -1. Therefore, their slopes will be negative reciprocals of each other.

Therefore, the slope of the line perpendicular to the given equation is:

$\sf m=\dfrac{7}{5}$