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k0ka [10]
3 years ago
14

Round 3..............almost out of points .-.

Mathematics
2 answers:
Sidana [21]3 years ago
8 0
You can use a proportion.

2/3 inch is to 1 hour as 6 2/3 inch is to x hours.

\dfrac{\frac{2}{3}~inch}{1~hour} = \dfrac{6 \frac{2}{3}~inch}{x}

Cross multiply to get

\dfrac{2}{3} x = 6 \dfrac{2}{3}

\dfrac{2}{3} x = \dfrac{20}{3}

2x = 20

x = 10

Answer: It rained for 10 hours.
Dovator [93]3 years ago
4 0
6 2/3 ÷ 2/3
= 20/3 ÷ 2/3
= 20/3 × 3/2
= 20/2
= 10

Answer
10 hours
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If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo
amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

(f \circ g)(x) = f(g(x))

In this case:

f(x) = 4x^2 - 8x - 20

g(x) = 2x + a

So

(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when x = 0, f(g(x)) = 25. So

4a^2 - 8a - 20 = 25

4a^2 - 8a - 45 = 0

Solving a quadratic equation, by Bhaskara:

\Delta = (-8)^2 - 4(4)(-45) = 784

x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5

x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5

The possible values are a = -2.5 or a = 4.5.

5 0
3 years ago
One year, the population of a city was 80,000. Several years later it was 66,400. Find
Shalnov [3]

Answer:

The population decrease by 17%.

Step-by-step explanation:

This is because 66,400 is 83% of 80,000.

100%-83%= 17%

Therefore, the percentage of the population that decreased was 17%

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2 years ago
out of 30 questions on the maths test tomi knew the answer to 27 of them what percentage of questions did tomi know the answer f
Vedmedyk [2.9K]

Answer:

90

Step-by-step explanation:

\frac{27}{30}  \times 100

so after we cut the nessecary we get 90%

Hope this helps you

Mark as the brainlist

thank you

8 0
3 years ago
Find the maximum or minimum of the following quadratic function: y = 16x2+ 40x + 25.
Irina-Kira [14]

the answer to your question is c. -25


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3 years ago
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