Mrs. Adams bought cans of pears and cans of mixed fruit.
1 answer:
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Answer:
Her weekly expenses amount to $25.
Detailed reasoning:
Given: Jessica earns commissions for every sale but must cover her own spending costs.
She expresses her income function as , where x represents the number of doors she approaches in a week and E(x) denotes her weekly earnings in dollars.
To determine: What are plausible meanings for the y-intercept in Jessica's earnings function?
Working it out:
x symbolizes the doors knocked per week
E(x) reflects her weekly total earnings in dollars.
Calculating the y-intercept:
Set x = 0
Given that E(x) is the net earning after expenses,
the value 25 corresponds to her weekly expenses.
Since she is responsible for covering costs,
if she makes zero sales, these expenses still apply.
Therefore, the y-intercept realistically represents her $25 weekly expenses.
Answer: It’s two trees
Step-by-step explanation:
Given that the city plants a tree every 20 feet along Dayton Avenue, we first need to establish the length of the side that faces Dayton Avenue.
We currently have three sides unaccounted for. However, it’s crucial to note that the side next to Dayton Avenue has the same length as the two unaccounted sides combined. This equivalence holds because both lengths include the 1 feather and 2 feather markers, confirming congruence.
Thus, the sum of both side lengths will be .
Consequently, the side next to Dayton Avenue measures
feet.
Having determined that this side is 57 feet long, we divide this length by 20 to find the tree planting intervals. Since the planting occurs only in complete 20-foot segments, if the division results in a decimal, we must round down. A tree is only planted if complete segments of 20 feet are reached.
This rounding process gives us 2.
I hope this clarifies!
Response:
- Refer to the attached graph
- x₁ ≈ - 2.1
- x₂ ≈ 0.2
Clarification:
To analyze log (−5.6x + 1.3) = −1 − x visually, graph these equations on the same coordinate system:
- Equation 1: y = log (5.6x + 1.3)
- Equation 2: y = - 1 - x
The first equation can be graphed using these characteristics of logarithmic functions:
- Domain: values must be positive ⇒ -5.6x + 1.3 > 0 ⇒ x < 13/56 (≈ 0.23)
- Range: all real values (- ∞, ∞)
- x-intercept:
log ( -5.6x + 1.3) = 0 ⇒ -5.6x + 1.3 = 1 ⇒ x = 0.3/5.6 ≈ 0.054
- y-intercept:
x = 0 ⇒ log (0 + 1.3) = log (1.3) ≈ 0.11
- Choose additional values to create a table:
x log (-5.6x + 1.3)
-1 0.8
-2 1.1
-3 1.3
- This graph is shown in the attached image: it's represented by the red curve.
Graphing the second equation is simpler as it forms a straight line: y = - 1 - x
- slope, m = - 1 (the coefficient of x)
- y-intercept, b = - 1 (the constant term)
- x-intercept: y = 0 = - 1 - x ⇒ x = - 1
- This graph is indicated by the blue line in the image.
The resolution to the equations corresponds to the points where the two graphs intersect. The graphing method thus allows you to determine the x coordinates of these intersection points. Ordered from smallest to largest, rounded to the nearest tenth, we have:
- x₁ ≈ - 2.1
- x₂ ≈ 0.2
