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d1i1m1o1n [39]
2 years ago
14

Graph y = -4/3x + 8

Mathematics
1 answer:
egoroff_w [7]2 years ago
7 0

Answer:

<em>Graph below</em>

Step-by-step explanation:

<u>Graph of a Function</u>

We are given the function

y = f(x) = -4/3x + 8

Since this is the equation of a line, we only need two points to draw the graph, but we'll calculate some points more.

Select values for x={-3, 0, 3, 6, 9}

For x=-3:

y = -4/3(-3) + 8 = 4 + 8 = 12

Point (-3,12)

For x=0:

y = -4/3(0) + 8 = 0 + 8 = 8

Point (0,8)

For x=3:

y = -4/3(3) + 8 = -4 + 8 = 4

Point (3,4)

For x=6:

y = -4/3(6) + 8 = -8 + 8 = 0

Point (6,0)

For x=9:

y = -4/3(9) + 8 = -12 + 8 = -4

Point (9,-4)

Now plot the points in a rectangular grid and join them. The graph is shown below.

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You want to save $500 for a school trip. You begin by saving a penny on the first day. You save an additional penny each day aft
irga5000 [103]

Answer:

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

a = 1 penny = 1/100 = $0.01

d = 0.01

a) For 100 days, the sum of the first 100 terms, S100 would be

S100 = 100/2[2 × 0.01 + (100 - 1)0.01]

S100 = 50[0.02 + 0.99)

S100 = 50 × 1.01 = $50.5

b) when Sn = $500, then

500 = n/2[2 × 0.01 + (n - 1)0.01]

Multiplying through by 2, it becomes

500 × 2 = n[2 × 0.01 + (n - 1)0.01]

1000 = n[0.02 + 0.01n - 0.01]

1000 = n[0.01 + 0.01n]

1000 = 0.01n + 0.01n²

0.01n² + 0.01n - 1000 = 0

Applying the general formula for quadratic equations,

x = [-b±√(b² - 4ac)]/2a

n = - 0.01±√0.01²-4(0.01 × - 1000)]/2 × 0.01

n = (- 0.01 ± √40.001)/0.02

n = (- 0.01 + 6.32)/0.02 or

n = (- 0.01 - 6.32)/0.02

n = 315.5 or n = - 316.5

Since n cannot be negative, then n = 315.5

It will take approximately 316 days to save $500

6 0
3 years ago
PLEASE HELP WITH MY TEST
Nana76 [90]

Answer:

14 feet and 6 feet

Step-by-step explanation:

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2 years ago
Working alone, it takes Julia 16 hours to clean an attic. Lea can clean the same attic in 15 hours. If they worked together how
egoroff_w [7]
How do you think we set this problem up?

7 0
3 years ago
What is the value of x? Please help. Will mark brainliest ASAP
Natasha_Volkova [10]

sin90°/47 = sin17°/x

xsin90° = 47sin17°

x = 47sin17°/sin90°

x = 13.741470121969

x ≈ 13.74

Hope this helps! ;)

6 0
3 years ago
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How many 1/8-pound patties can Mrs. Drake make from 7/8 of a pound of a hamburger?
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Mrs.Drake can make 7 1/8-pound patties.
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