Answer:
C: Xint = 2, Yint. = -7
Step-by-step explanation:
Given the equation, 2x - 7y = -14:
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0. To solve for the y-intercept, set x = 0:
2x - 7y = -14
2(0) - 7y = -14
0 - 7y = -14
-7y = -14
Divide both sides by -7 to solve for y:
-7y/-7 = -14/-7
y = 2
Therefore, the y-intercept = 2.
Next, the x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (a, 0). To find the x-intercept, set y = 0 and substitute into the given equation:
2x - 7y = -14
2x - 7(0) = -14
2x - 0 = -14
2x = -14
Divide both sides by 2 to solve for x:
2x/2 = -14/2
x = -7
x-intercept = -7.
Therefore, the correct answer is C: Xint = 2, Yint. = -7
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Answer:
3pi is irrational.
Step-by-step explanation:
An irrational number multiplied by a rational number is always irrational.
:)
Answer:
-1 and 9
Step-by-step explanation:
To solve the quadratic, factor and set its factors equal to 0. Factoring is the action of breaking up a polynomial into pieces which multiply to make it. The factors are found by multiplying numbers to make C and add to B of 
.
Here c = -9 and b = -8. The numbers -9 and 1 multiply to -9 and add to -8. These are the factors (x-9)(x+1).
Set each equal to 0 and solve for x.
x-9 = 0
x = 9
x+1 =0
x = -1
Answer:
f(g(x)) = 15x + 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 5x + 7
g(x) = 3x - 1
<u>Step 2: Find</u>
- Substitute in functions: f(g(x)) = 5(3x - 1) + 7
- [Distributive Property] Distribute 5: f(g(x)) = 15x - 5 + 7
- [Addition] Combine like terms: f(g(x)) = 15x + 2
Answer:
20 por ciento de probabilidad de que elijas una de esas cartas
Step-by-step explanation:
20 por ciento de probabilidad de que elijas una de esas cartas
