Factor the following:
5 x^2 + 20 x + 15

Factor 5 out of 5 x^2 + 20 x + 15:
5 (x^2 + 4 x + 3)

The factors of 3 that sum to 4 are 3 and 1. So, x^2 + 4 x + 3 = (x + 3) (x + 1):

Answer: 5 (x + 3) (x + 1)

5 0

3 years ago

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You collect a total of $75 in donations from three people. The three donations are in the ratio 4 to 4 to 7. How much is each of

worty [1.4K]

Each smaller donation was for $20 The largest donation was $15 greater than the smaller donation. First, determine the size of each donation. Since they are in a ratio of 4:4:7, it's easiest to add the ratios together (4+4+7) = 15. Then divide the total donation by that sum (75/15) = 5. Finally, multiply 5 by each of the ratios. 5 * 4 = 20, 5 * 4 = 20, and 5 * 7 = 35 So the 2 smaller donations were $20 each, and the largest donation was for $35. The largest donation was $35 - $20 = $15 larger than one of the smaller donations.

7 0

4 years ago

The edge of a cube was found to be 15 cm with a possible error in measurement of 0.2 cm. Use differentials to estimate the maxim

Umnica [9.8K]

Answer:

A) Maximum error = 36 cm²

B) Relative Error = 0.0267

C) percentage error = 2.67%

Step-by-step explanation:

Surface area of the cube is;

A(x) = 6x²

Where x is the length of the edge of the cube.

dA/dx = 12x

When x is small like in this case, we can write;

ΔA/Δx ≈ 12x

Thus, ΔA ≈ 12x•Δx

A) Maximum error = 12*15*0.2

Maximum error = 36 cm²

B) Relative Error = Max Error/Surface Area

Surface area = 6 x 15² = 1350

Thus,relative error = 36/1350

Relative Error = 0.0267

C) percentage error = Relative Error x 100%

percentage error = 0.0267 x 100%

percentage error = 2.67%

7 0

3 years ago

You randomly choose one of the lettered tiles. Without replacing the first tile, you choose a second tile. Find the probability

Ainat [17]

How many tiles are there

4 0

4 years ago