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Snezhnost [94]
3 years ago
15

What is The Y Intercept of The Line With The Equation 4x + 2y =12

Mathematics
2 answers:
alina1380 [7]3 years ago
7 0
The equation is y=-2x+6
morpeh [17]3 years ago
6 0

The y-intercept is 12.

YOUR WELCOME! :) Have a wonderful day! :)

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2 years ago
Please help me with this question. Algebra 2 is hard!!
trapecia [35]

Answer:

  • domain: {x ∈ ℝ : x ≤ 5}
  • range: {y ∈ ℝ : y ≤ -1}

Step-by-step explanation:

<u>Domain</u>

The domain of a function is the set of x values for which the function is defined. Here, the domain is limited by the values of x that make the square root defined. That is, the expression under the radical cannot be negative:

  -3x +15 ≥ 0

  15 ≥ 3x . . . . . . add 3x

  5 ≥ x . . . . . . . . divide by 3

  x ≤ 5 . . . . . . . . put x on the left (swap sides)

The rest of the notation in the domain expression simply says x is a real number.

  domain: {x ∈ ℝ : x ≤ 5} . . . . . . matches the first choice

__

<u>Range</u>

The range of a function is the set of values that f(x) can have. We know the square root can be zero or any positive number. When it is zero, f(x) = -1.

When it is a positive number, that value is multiplied by -4 and added to -1, so f(x) is a number more negative than -1. Then the range of the function is all numbers -1 and below:

  range: {y ∈ ℝ : y ≤ -1} . . . . . . matches the last choice

_____

<em>Comment on domain/range problems</em>

When working domain and range problems, it works well to have a good understanding of the domain and range limitations of the functions we usually work with: polynomials, square root, logarithm, trig functions, exponential functions. Domain and range problems generally involve combinations of these or ratios of combinations of these.

3 0
3 years ago
Which expression is equivalent to 2(7b + 5)?
DENIUS [597]

2(7b + 5) will equal to 14b+10

Explanation:

2 times 7b= 14b

2 times 5= 10

4 0
2 years ago
Write an equation, in point-slope form, of the line that passes through the point (4, -3) with a slope -7.
Ilya [14]

Answer:

point-slope form:

y - 10 = -4(x - -2)

y - 10 = -4(x + 2)

---

slope-intercept form:

y - 10 = -4x - 8

y = -4x - 8 + 10

y = -4x + 2

Step-by-step explanation:

6 0
2 years ago
Find the slope of the line (-3,-2) (1,6)
nlexa [21]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (1, 6)

m = \frac{6-(-2)}{1-(-3)} = \frac{6+2}{1+3} = \frac{8}{4} = 2

5 0
3 years ago
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