The pond will be full by the end of the day in 93 days.
<h3>Linear system</h3>
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The pond can hold 400 water liters.
y = 3.915(1.106)x is an expression.
<h3>To find </h3>
The pond will be full by the end of the day.
<h3>How many days it will take?</h3>
Let x be the day and y be the hold of water.
When pond can hold 400 liters of water the x will be
400 = 3.915×1.106x
400 = 4.33 x
x = 92.37 ≈ 93
Thus, the pond will be full by the end of the day in 93 days.
More about the linear system link is given below.
brainly.com/question/20379472
Answer:
See below
Step-by-step explanation:
Part A: The expression would be (4x+5)(3x+10), or, when expanded, 12x^2+55x+50 since the area of a rectangle is length*width
Part B: The degree is 2 because it's classified as a quadratic and trinomial expression
Part C: The closure property of polynomials is that polynomials will be closed under an operation if the operation produces another polynomial. For example, since we had to multiply two binomials in Part A, the exponents of x get combined to make x^2 (because x^1*x^1=x^(1+1)=x^2)
Answer:
a = (15-11b)/7
Step-by-step explanation:
19a + 11b = 12a + 15
Subtract 12a from each side
19a-12a + 11b = 12a-12a + 15
7a +11b = 15
Subtract 11b from each side
7a+11b-11b = 15 -11b
7a = 15-11b
Divide by 7
7a/7 = (15-11b)/7
a = (15-11b)/7
Answer:
~0.02% chance
Step-by-step explanation:
coin: 1/2 chance
dice: 3/6 chance
cards: 4/52 chance
1/2x3/6x4/52 = 0.02% percent chance
Answer:
x-intercepts = 1,2, and 4, y-intercept = -8
Step-by-step explanation:
x^3 - 7x^2 - 14x - 8 in factored form is equal to (x-1)(x-2)(x-4).
Solving for x-intercepts:
- We are actually able to solve for all x-intercepts without the given factor. But since we are given one of the factors, our job becomes much easier.
- Using synthetic division, or long division, we factor out the x-intercept 4. Which leaves us with the polynomial x^2 - 3x + 2.
- From here we can separate the polynomial into two binomials.
- x^2 - 3x + 2 = (x-1)(x-2). Giving us all 3 x-intercepts.
- Using Descartes' rules we can identify before even starting the problem how many real x-intercepts there are (Not needed for this problem).
Solving for y-intercept:
- The y-intercept is always the coefficient that does not have any assigned x-variables.
- The coefficient is -8, thus the y-intercept.
- If unsure of the y-intercept, you can always plug in x = 0. Solving for the y-intercept will give you the value of f(0).
- If there is no coefficient, the y-intercept is equal to zero.
