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MissTica
3 years ago
8

Use intercepts to graph the line described by the equation. −5y = −8x + 40

Mathematics
1 answer:
lukranit [14]3 years ago
4 0

Answer:

y intercept is (0,-8)

x intercept is (5,0)

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This is a sketch of the curve with equation y=f(x) the vertex of the curve is at (2,-3)
Law Incorporation [45]

Answer:

see explanation

Step-by-step explanation:

(a)

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

f(x) + 5 represents a shift up of 5 units, thus

(2, - 3 ) → (2, - 3 + 5 ) → (2, 2 )

(b)

Given f(x) then - f(x) represents a reflection of f(x) in the x- axis

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(2, - 3 ) → (2, 3 )

7 0
3 years ago
One semester in a chemistry class, 14 students failed due to poor attendance, 23 failed due to not studying, 15 failed because t
BlackZzzverrR [31]

Answer:

(a) 16 students failed for exactly two of the three reasons.

(b) 7 students failed because of poor attendance and not studying but not because of not turning in assignments.

(c) 14 students failed because of exactly one of the three reasons.

(d) 3 students failed because of poor attendance and not turning in assignments but not because of not studying.

Step-by-step explanation:

We are given that one semester in a chemistry class, 14 students failed due to poor attendance, 23 failed due to not studying, 15 failed because they did not turn in assignments, 9 failed because of poor attendance and not studying, 8 failed because of not studying and not turning in assignments, 5 failed because of poor attendance and not turning in assignments, and 2 failed because of all three of these reasons.

As shown in the diagram attached below, a Venn diagram represents the situation given in the question;

In the diagram below, 2 in represents purple color represents the number of students failed because of all three of these reasons.

7 represents the number of students who failed because of poor attendance and not studying but not due to not turning in assignments.

6 represents the number of students who failed because of not studying and not turning in assignments but not due to poor attendance.

3 represents the number of students who failed because of poor attendance and not turning in assignments but not due to not studying.

2 in red color represents the number of students who failed only due to poor attendance.

8 in red color represents the number of students who failed only due to not studying.

4 in red color represents the number of students who failed only due to not turning in assignments.

(a) The number of students who failed because of exactly two of the three reasons = 7 + 6 + 3 = 16 students.

(b) The number of students who failed because of poor attendance and not studying but not because of not turning in assignments = 9 - 2 = 7 students.

(c) The number of students who failed because of exactly one of the three reasons = 2 + 8 + 4 = 14 students.

(d) The number of students who failed because of poor attendance and not turning in assignments but not because of not studying = 5 - 2 = 3 students.

7 0
3 years ago
Nola Potter earns a salary of $1,200 a month and a commission of 7.5% on all sales over $4,000. This month her sales were $21,40
masya89 [10]

Answer: $5,605

Step-by-step explanation:

Monthly earning = 1200

Commission = 7.5% on sales over 4000

Current month sales = 21400

Total monthly earning :

$4000 + commission on sales over 4000

Total earning for the current month:

$4000 + commission on sales

Commission on current month's sales:

7.5% of 21400

0.075 × $21,400

= $1605

Total amount earned :

$4000 + $1605 = $5,605

5 0
3 years ago
Which input value produces the same output value for the two functions on the graph?
Verizon [17]

Answer:

-2

Step-by-step explanation:

Because thats the answer

5 0
3 years ago
Read 2 more answers
Antonia wrote this mystery problem: The quotient is a multiple of 8.
Natalija [7]

Answer:

The answer is B

Step-by-step explanation:

B is the only one with a quotient that is a multiple of 8

4 0
3 years ago
Read 2 more answers
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