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galina1969
7 days ago
10

Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain

your reasoning.
Mathematics
2 answers:
zzz [9K]7 days ago
3 0
Graphing calculators provide greater precision and speed in determining solutions. When addressing a system of equations, these calculators can graph functions of any shape and degree, clearly identifying intersection points between graphs with accuracy that can extend to ten decimal places. Compared to manual graphing, the potential for human error often results in less precise outputs.
Svet_ta [9.5K]7 days ago
3 0
A graphing calculator yields more precise graphs than manual methods. It accommodates linear equations in various forms. When slopes or y-intercepts are represented as decimals or fractions, achieving an accurate hand-drawn graph can be challenging. Adjusting the viewing window or zooming features on a graphing calculator simplifies the graphing process, eliminating the need for manual redrawing or rescaling.
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The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b
PIT_PIT [9117]
X^2 - x - 90 =0
This quadratic equation is in the standard format ax^2+ bx + c
The total of the solutions can be found using -b/a (where a and b are the coefficients from the original equation, not the solutions)
The resulting answer is 1/1 = 1
8 0
1 day ago
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On her birthday, Sonia distributed chocolates in an orphanage. She gave 5 chocolates to each child and 20 chocolates to adults.
Svet_ta [9500]

Answer with explanation:

Total number of children = x

Total chocolates shared = y

In total, the chocolates distributed to the children equals 5 times the number of children, or 5 x.

Chocolates received by adults equal 20.

Let the number of adults be z.

Expressing this situation as an equation:

y = 5 x + 20 z

z=\frac{y-5 x}{20}

⇒Number of adults = z

       =\frac{y-5 x}{20}

3 0
1 month ago
Farmer Alex has 32 llamas each of whom needs 10000 square feet of grazing area. He wants to enclose a rectangular pen along a st
tester [8842]
Take note of the image below

the riverbank requires no fencing due to the river's presence
so the pen's perimeter can be calculated as 2w + l, or w + w + l
thus   \bf \textit{area of a rectangle}\\\\
A=lw\qquad A=10000\implies 10000=lw\implies \cfrac{10000}{w}=\boxed{l}
\\\\\\
\textit{perimeter of enclosed pen}\\\\
P=2w+l\implies P(w)=2w+\boxed{\cfrac{10000}{w}}

derive P(w), set it to zero, locate any critical points, and perform a first-derivative test for minimum values.

8 0
14 days ago
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A 5 1/2 quart pot is filled 2/3 of the way with water. How many more quarts of water can the pot hold?
Inessa [9000]

The pot has the capability to hold 1/3 more than its current level. Therefore, 1/3 of 5 1/2 quarts equals:

(1/3)(11/2) = 11/6 quarts. Thus, the total capacity of the pot is 11/6 quarts.

8 0
1 month ago
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In year 3 it is expected that the total value of clothing sales will reach 32 million if the total value of ASCO sells Remains t
tester [8842]

Answer:

The sales figure for the third year is [\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%].

Step-by-step explanation:

Since sales data for the second year is unavailable, we denote it as x million.

Year 3's total sales amount to 32 million.

Calculate the sales account for year 3 as follows:

\text{Percentage of sales for year 3}=\frac{\text{Total Sales in year 3}-\text{Total Sales in year 2}}{\text{Total Sales in year 2}}\times 100\%

                                                =\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%

3 0
1 month ago
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