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Ad libitum [116K]
3 years ago
8

The minimum point on the graph of the equation y = f(x) is (-1, -3). What is the minimum point

Mathematics
1 answer:
vladimir1956 [14]3 years ago
7 0

Answer:

(4, -3)

Step-by-step explanation:

the equation f(x-5) is a translation of the equation f(x) by 5 units to the right.

So, if all points of the equation f(x) are shifted 5 units to the right, the minimum point of the graph is also shifted 5 units to the right, so to find the minimum point of y = f(x - 5), we just need to sum 5 units to the x-coordinate:

Minimum point = (-1 + 5, -3) = (4, -3)

So the minimum point of y = f(x - 5) is (4, -3).

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Write the equation of a line perpendicular to y=-5x that passes through the point (1,1) in slope intercept form. (This question
Kazeer [188]

Answer:

y= 1/5x + 0.8

Step-by-step explanation:

Hope this helps

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3 years ago
A movie theater is 10 blocks north and 5 blocks east of a post office. A mall is 7 blocks north and 9 blocks east of the post of
MAXImum [283]

The complete question required that we determine how far is the movie theater to the mall.

<h3>Distance between the movie theatre and the mall </h3>

According to the question;

  • Upon representation of the movie theatre and mall position on the coordinate plane relative to the post office; we have;

  • Movie theater, T = (5, 10)
  • Mall, M = (9, 7).

The distance between the two points can therefore be evaluated by Pythagoras theorem as follows;

Distance, D² = (9-5)² + (7-10)²

  • D² = 4² + (-3)²

  • D² = 16 + 9

  • D² = 25

  • D = √25 = 5 blocks.

Ultimately, the movie theater is 5 blocks away from the mall.

Read more on distance between two points;

brainly.com/question/23848540

5 0
2 years ago
Quick! Need the answer, will give brainiest
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Your selection is correct.

A good way to solve these problems is to first figure out the system if the functions were regular equalities. Then, to determine which direction the inequality sign goes, ask whether the graph is shaded above or below y. For above, that means y is greater than... below, less than. A solid line means greater/less than or equal to.
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3 years ago
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A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
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we know that A has 60% of salt, so if way we had "x" amount of ounces of A solution the amount in it will be 60% of "x", or namely (60/100)*x = 0.6x.

Likewise for solution B if we had "y" ounces of it, the amount of salt in it will be (75/100) * y or 0.75y, thus

\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{oz of }}{amount}\\ \cline{2-4}&\\ A&x&0.60&0.6x\\ B&y&0.75&0.75y\\ \cline{2-4}&\\ mixture&60&0.65&39 \end{array}~\hfill \begin{cases} x+y=60\\ 0.6x+0.75y=39 \end{cases} \\\\\\ \stackrel{\textit{since we know that}}{x+y=60}\implies y = 60 - x~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.6x+0.75(60-x)=39}

0.6x+45-0.75x=39\implies -0.15x+45=39\implies -0.15x=-6 \\\\\\ x = \cfrac{-6}{-0.15}\implies \boxed{x = 40} \\\\\\ \stackrel{\textit{we know that}}{y = 60 - x}\implies y = 60-40\implies \boxed{y = 20}

3 0
2 years ago
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