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3 years ago

The equation of a line is y = 4x + 15. what is the y-intercept of the line.

Mathematics

1 answer:

Stels [109]3 years ago

4 0

Answer:

Step-by-step explanation:

$y = 4x + 15 \\ equating \: it \: with \\ y = mx + b \\ we \: find \\ b = 15 \\ \implies \: y - intercept = 15$

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3 years ago

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nirvana33 [79]

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4 years ago

Write the explicit formula for the sequence {9,6,3,0,-3,...}.

pantera1 [17]

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3 years ago

Jing is helping the kindergarten teacher put together bags of crayons. Each bag has 4 crayons, and 1/4 of the crayons in each ba

wariber [46]

Answer:

A) $\frac{3}{12}$

Step-by-step explanation:

Given:

Jing is helping the kindergarten teacher put together bags of crayons.

Each bag has 4 crayons, and 1/4 of the crayons in each bag are green.

What fraction of the crayons in 3 bags are green?

<u>Solution:</u>

1 bag contains number of crayons = 4

1 bag contains number of green crayons = $\frac{1}{4} \ of\ 4 = \frac{1}{4}\times4=1$

Total number of bags = 3

Total number of crayons in 3 bags = 4 $\times$ 3 = 12

1 bag contains number of green crayons = 1

Total number of green crayons in 3 bags = 1 $\times$ 3 = 3

Fraction of the green crayons out of total = 3 out of 12 = $\frac{3}{12}$

Therefore, fraction of the crayons in 3 bags are green are $\frac{3}{12}$

7 0

4 years ago

Suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 40 sin(t) for t in the interval [0

grigory [225]

The numerical value of the mean voltage is 25.47 V

To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]

So,

$V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi } \\V = \frac{1}{\pi } -[40cos\pi - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V$

V ≅ 25.47 V

So, the numerical value of the mean voltage is 25.47 V

Learn more about mean volatage here:

brainly.com/question/17928028

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3 years ago