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MaRussiya [10]
3 years ago
15

Find the slope and the y-intercept of the line.

Mathematics
2 answers:
rjkz [21]3 years ago
3 0

Answer:

The slope is -3/4 and the y intercept is 5

Step-by-step explanation:

- 3x - 4y= -20

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

Solve for y

Add 3x to each side

- 3x - 4y+3x=3x -20

-4y = 3x-20

Divide by -4

-4y/-4 = 3x/-4  -20/-4

y = -3/4 x+5

The slope is -3/4 and the y intercept is 5

charle [14.2K]3 years ago
3 0

Answer:

Slope: \displaystyle-\frac{3}{4}

Y-intercept: 5

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: y=mx+b, where <em>m</em> is the slope and <em>b</em> is the y-intercept.

-3x-4y=-20

To find the slope and y-intercept of the given line, rearrange the equation into slope-intercept form. We can do this by isolating <em>y</em>.

Add 3x to both sides:

-3x-4y+3x=-20+3x\\-4y=3x-20

Divide both sides by -4:

y=\displaystyle -\frac{3}{4} x+5

Now, we can identify \displaystyle-\frac{3}{4} to be in place of <em>m</em>, the slope, and 5 to be in place of <em>b</em>, the y-intercept. Here is a comparison:

y=\displaystyle -\frac{3}{4} x+5

y=mx+b

I hope this helps!

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10.
mixer [17]

Answer:

D. Isosceles triangle

Step-by-step explanation: Triangles have 180 degrees. To figure out this question you have to find the measure of the last angle. 70+55=125. 180-125=55. So the angles are 70, 55, 55. In an isosceles triangle two sides are equal. Because we know that two angles in the triangle are equal we then know that two sides of the triangle are also equal. Hope this helped :)

5 0
3 years ago
The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. Which
Maurinko [17]

Answer:

The option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>

Step-by-step explanation:

As the domain of f(x) is the set of all real values except 7. So it can be written as follows:

              Domain of f(x) = { x ∈ R | x ≠ 7}

As the domain of g(x) is the set of all real values except -3. So it can be written as follows:

              Domain of g(x) = { x ∈ R | x ≠ -3}

It is a common rule that the domain of a composite function (gºf)(x) will be the set of those input x in the domain of f for which f(x) is in the domain of g.

So, the option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>

Keywords:  domain, composite function

Learn more domain and composite functions from brainly.com/question/2073574

#LearnwithBrainly

3 0
3 years ago
3) Tara sold candles to raise money for new playground equipment at her school.
Ronch [10]

Answer:

Tara's current expression finds how much the school will be keeping. 50 x 2/5 (also written as 50 x 0.4) totals out as 20. $20 is 2/5 of $50. The expression that Tara SHOULD have written to find how much goes to the candle company would be 50 x 3/5 (also written as 50 x 0.6), as this adds up to 30. $30 is 3/5 of $50.

Step-by-step explanation:

50/5 = 10 which means that 1/5 of 50 = 10.

2/5 of 50 ($20) is kept by the school. This is what Tara's expression finds. This means that $30 is sent to the candle company, and can be found with the expression 50 x 3/5.

The decimals are created by dividing the numerator of the fraction by the denominator (I find it easier to do math with decimals).

3 0
3 years ago
What is 300 is 1/10 of
Aleksandr [31]
30 is your answer and the question should say: What is 1/10 of 300.
6 0
3 years ago
Read 2 more answers
Identify the Vertex.
jarptica [38.1K]

Answer: (2, 3)

Step-by-step explanation: This graph depicts a parabola. The vertex of a parabola is the point at the intersection of the parabola, and it is the line of symmetry. In other words, it is the point where the parabola crosses its axis of symmetry. Therefore, the ordered pair of (2, 3) represents the vertex of this graph.

6 0
3 years ago
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