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Volgvan
3 years ago
11

What are the gradients (slopes) and y-intercepts of these lines, please?​

Mathematics
1 answer:
masya89 [10]3 years ago
6 0

Answer:

a. gradient 4

b. gradient 3

c. gradient 1

d. gradient 1

e. gradient -2

f. gradient 3

Step-by-step explanation:

to find y intercept substitute x to be 0

i.e y=3x

y=0

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PLEASE HELP!!!
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The function would be f(x)=11,500-.16xPlug in 4 for x
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3 years ago
A traffic light at a certain intersection is green 50% of the time, yellow 10% of the time, and red 40% of the time. A car appro
kati45 [8]

Answer:

6.4\times 10^{-5} = 0.000064 = 0.0064\%.

Step-by-step explanation:

Probability that the car encounters a green light on the first day: 50 \% = 0.5.

To meet the question's conditions, the car needs to encounter another green light on the second day. Given that the colors of the light on each day are "independent," the chance that there's a green light followed by another green light will be

(0.5) \times 0.5 = 0.25.

  • Condition is met on the first two days and green light on the third day: (0.5 \times 0.5) \times 0.5 = 0.125.
  • Condition is met on the first three days and green light on the fourth day:   (0.5 \times 0.5 \times 0.5) \times 0.5.

To meet the condition on the fifth day, there needs to be a yellow light. The probability that the condition is met on the first four days and on the fifth day will be (0.5 \times 0.5 \times 0.5 \times 0.5) \times 0.1 = 0.5^{4} \times 0.1.

To meet the condition on the sixth day, all prior days should meet the conditions. Besides, there needs to be a red light on the sixth day. (0.5^{4} \times 0.1) \times 0.4

  • Seventh day: (0.5^{4} \times 0.1 \times 0.4 ) \times 0.4
  • Eighth day: (0.5^{4} \times 0.1 \times 0.4^2 ) \times 0.4
  • Ninth day: (0.5^{4} \times 0.1 \times 0.4^3 ) \times 0.4
  • Tenth day: (0.5^{4} \times 0.1 \times 0.4^4 ) \times 0.4 = 0.5^{4} \times 0.1 \times 0.4^{5}

The question asks that the condition be met on all ten days. As a result, the probability of meeting the condition will be equal to the probability on the tenth day: 0.5^{4} \times 0.1 \times 0.4^{5} = 6.4\times 10^{-5} = 0.000064 = 0.0064\%.

6 0
3 years ago
Read 2 more answers
It cost Bo $9.75 to send 65 text messages. How many text messages did he send if he spent $6.60?
VashaNatasha [74]

If we use $6.60 then 44 massages will go to be sent.

<h3>What are the ratio and proportion?</h3>

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

For example 3/8 here 3 is the numerator and 8 is the denominator the value of the fraction will be less than 1 or greater than it depends upon the numerator and denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

$9.75 ⇔ 65 text massages

Divide by 9.75

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Multiply by 6.60

$6.60 ⇔ 44 text messages.

Hence "If we use $6.60 then 44 massages will go to be sent".

For more information about ratio and proportion,

brainly.com/question/26974513

#SPJ1

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86,921 in expanded form
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86921 = 80000 + 6000 + 900 +20 +1
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