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Kitty [74]
2 years ago
10

F(0) = -5, f(4) = -3

Mathematics
1 answer:
Karolina [17]2 years ago
4 0

Answer:

y = \frac{1}{2} x - 5

Step-by-step explanation:

Given f(0) = - 5 and f(4) = - 3 , then we have the coordinate points

(0, - 5) and (4, - 3)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (4, - 3)

m = \frac{-3+5}{4-0} = \frac{2}{4} = \frac{1}{2}

The line crosses the y- axis at (0, - 5) ⇒ c = - 5

y = f(x) = \frac{1}{2} x - 5 ← equation of line

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8 0
3 years ago
Abigail has a cylindrical candle mold with the dimensions shown. If Abigail has a rectangular block of wax
Akimi4 [234]

Answer: Abigail can make about 16 candles because 0.4 of a candle would not make an entire candle.

Step-by-step explanation:

For the Wax, it’s

V=Bh

V= l*w*h

= 15 cm * 11cm * 18 cm

= 2,970 cm^3

For the Mold, it’s

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Hope this helps!

7 0
3 years ago
Please help me find the answer !
Marina CMI [18]

Answer:

x = 12

y = 6√3

Step-by-step explanation:

✅Apply the intersecting secant theorem to find x. Thus:

6(6 + x) = 7(7 + 8³/7)

Convert the mixed fraction to improper fraction

6(6 + x) = 7(7 + 59/7)

36 + 6x = 49 + 59

36 + 6x = 108

6x = 108 - 36

6x = 72

Divide both sides by 6

x = 72/6

x = 12

✅Apply the tangent-secant theorem to find y. Thus:

y² = 6(6 + x)

Plug in the value of x

y² = 6(6 + 12)

y² = 6(18)

y² = 108

y = √108

y = 6√3

4 0
2 years ago
Can someone help me please .
Ymorist [56]

Answer:

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Step-by-step explanation:

The angle CDG equals 90 degrees and the angle GDE also equals 90 degrees. Supplementary angles are angles that add up to be 180 degrees.

CDG + GDE = 180 degrees

6 0
3 years ago
Which interval contains a local minimum for the graphed function?
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