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IrinaK [193]
4 years ago
14

Use a graphing tool to solve the system. {4x−15y=−432x−3y=−2 Which ordered pair is the best estimate for the solution to the sys

tem? (5.1, 4.8) (6.5, 5.2) (5.5, 4.3) (4.8, 5.2)

Mathematics
1 answer:
Alona [7]4 years ago
8 0
<span>4x−15y=−43.................y = 4x/15+43/15
</span><span>2x−3y=−2..................... y = 2x/3+2/3
</span>
Using a Graphing tool, we can check that the solution is (5.5 , 4.333) which is the intersection of both lines.

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Please help me
Virty [35]

Answer:

1) Step 3: S = $136.49 - $3.0625 × 1/4

2) By completing the operations within the parenthesis in Step 2, before multiplying the result by 1/4

Step-by-step explanation:

1) From the given information, we have;

The amount amount Maria earns as a pet sitter = $32.75

The number of weeks Maria worked as a pet sitter = 2 weeks

The amount Mariah previously saved = $70.99

The amount Maria spent = $12.25

The amount Mariah put in her savings account = 1/4 of the remaining (balance) money

Therefore, we have;

The amount placed in Mariah's savings account, S, is given as follows;

Step 1: S = [($32.75 × 2) + $70.99 - $12.25] × 1/4

Step 2: S = [($65.5 × 2) + $70.99 - $12.25] × 1/4

Step 3: S = [($136.49) - $12.25] × 1/4

Step 4: S = $124.24 × 1/4

Step 5: S = $31.06

The amount Mariah puts in her saving's account = $31.06 and the step Mariah first makes an error is Step 3 where what she put down was as follows;

Step 3: S = $136.49 - $3.0625 × 1/4

2) She can correct the error by completing the calculation of the operation within the parenthesis in Step 2, before multiplying by the factor 1/4.

6 0
3 years ago
Read 2 more answers
Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be _____..
Ad libitum [116K]
About $12.30

($12.27)
7 0
3 years ago
Read 2 more answers
Which equation represents a hyperbola with a center at (0, 0), a vertex at (−48, 0), and a focus at (50, 0)?
Lerok [7]

bearing in mind that "a" is the length of the traverse axis, and "c" is the distance from the center to either foci.

we know the center is at (0,0), we know there's a vertex at (-48,0), from the origin to -48, that's 48 units flat, meaning, the hyperbola is a horizontal one running over the x-axis whose a = 48.

we also know there's a focus point at (50,0), that's 50 units from the center, namely c = 50.


\bf \textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2}\\ \textit{asymptotes}\quad y= k\pm \cfrac{b}{a}(x- h) \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}


\bf \begin{cases} h=0\\ k=0\\ a=48\\ c=50 \end{cases}\implies \cfrac{(x-0)^2}{48^2}-\cfrac{(y-0)^2}{b^2}=1 \\\\\\ c=\sqrt{a^2+b^2}\implies \sqrt{c^2-a^2}=b\implies \sqrt{50^2-48^2}=b \\\\\\ \sqrt{196}=b\implies 14=b~\hspace{3.5em}\cfrac{(x-0)^2}{48^2}-\cfrac{(y-0)^2}{14^2}=1\implies \cfrac{x^2}{48^2}-\cfrac{y^2}{14^2}=1

8 0
3 years ago
Read 2 more answers
Notebooks cost $7.00 a package
storchak [24]
what is the question? !?!
6 0
3 years ago
White shapes and black shapes are used in a game some of these shapes are circles and all the rest of the shapes are squares the
daser333 [38]

Answer:

(D) THE AREA CAN BE FOUND BY COURITING THE GRID SQUARES INSIDE THE SHAPE.

Step-by-step explanation:

:D

7 0
2 years ago
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