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3 years ago

What is the y-intercept of the function,represented by the table of values below?

Mathematics

1 answer:

Sliva [168]3 years ago

3 0

Answer: Choice A) 8

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If you plot all of the points, you'll see they all fall on the same straight line. The slope of this line is m = -4
Each time x increases by 1, y decreases by 4

Going in reverse, if we decrease x by 1, then we increase y by 4
So the pair (x,y) = (1,4) shown in row 2 will lead to (0,8) if we use the trick of increasing y by 4 when decreasing x by 1.

Another way to see this is to use m = -4 with (x,y) = (1,4) and you'll find that b = 8. So the equation of this line is y = -4x+8

Or you can use a graphical method to find the y intercept

Either way, the answer is 8. This is where the graph crosses the y axis.

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Which expression is equivalent to (–3y – x) – (5y – 8x)?

olga55 [171]

Answer:

$7x-8y$

Step-by-step explanation:

We have been given an expression $(-3y-x)-(5y-8x)$ . We are supposed to simplify our given expression.

Using distributive property $a(b+c)=ab+ac$ , we will get:

$-3y-x-1*5y-1*-8x$

$-3y-x-5y+8x$

Now, let us combine like terms.

$-x+8x-5y-3y$

$7x-8y$

Therefore, the simplified form of our given expression would be $7x-8y$ .

6 0

3 years ago

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What is the graph of the inequality in the coordinate plane? x ≥ 4

34kurt

If the solution is gray area, then neither of these graphs is a solution.

If the solution is white area, then the second graph from the left is a solution.

4 0

3 years ago

Read 2 more answers

Line A passes through the points (-5, 1) and (5, 11).

11111nata11111 [884]

Line A: $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{11 - 1}{5 - (-5)} = \frac{10}{5 + 5} = \frac{10}{10} = 1$
y - y₁ = m(x - x₁)
y - 1 = 1(x - (-5))
y - 1 = 1(x + 5)
y - 1 = 1(x) + 1(5)
y - 1 = x + 5
   + 1    + 1
   y = x + 6

Line B: $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{20 - (-1)}{-3 - 4} = \frac{20 + 1}{-7} = \frac{21}{-7} = -3$
   y - y₁ = m(x - x₁)
y - (-1) = -3(x - 4)
   y + 1 = -3(x) + 3(4)
   y + 1 = -3x + 12
   - 1 - 1
   y = -3x + 11

y = x + 6
y = -3x + 11

   x + 6 = -3x + 11
+ 3x     + 3x
   4x + 6 = 11
       - 6   - 6
   4x = 5
      4   4
       x = 1¹/₄
   y = x + 6
   y = 1¹/₄ + 6
   y = 7¹/₄
     (x, y) = (1¹/₄, 7¹/₄)

The answer is B.

4 0

4 years ago

The supplement of the complement of an angle less the complement of an angle exceeds the quotient of the supplement of the angle

djverab [1.8K]

Complement of an angle = 90° - x.

Supplement of the complement of an angle = 180 - (90 - x).

= 180 - 90 + x

= 90 + x

Supplement of the complement of an angle less the complement of an angle = (90 + x) - (90 - x)

= 90 + x - 90 + x

= 2x

Now, the quotient of the supplement of the angle and the number 3 is $\frac{180-x}{3}$ .

It is given that supplement of the complement of an angle less the complement of an angle exceeds the quotient of the supplement of the angle and the number 3 by 73.

Therefore, 2x = $\frac{180x}{3} +73$

$2x=\frac{180-x+219}{3}$

Multiply both sides by 3.

6x = 180 - x + 219

= 399 - x

Add x to both sides.

6x + x = 399

7x = 399

Divide both sides by 7.

x = 57

Hence, the required angle = 57°.

5 0

3 years ago

Solve each equation using elimination. 2a+3b=12 5a- b=13

natita [175]

$\left \{ {{2a+3b=12} \atop {5a-b=13\ \ | *3}} \right. \\\\ \left \{ {{2a+3b=12} \atop {15a-3b=39}} \right. \\+-----\\ add\ both\ equations\\\\
17a=51\ \ \ | divide\ by\ 17\\\\
a=3\\\\
b=5a-13\\\\
b=5*3-13=15-13=2\\\\
b=2$

8 0

4 years ago