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Luba_88 [7]
3 years ago
6

Function L is represented by the equation y 6x +4. Compare Functions B an determining which one has the greater rate of change a

nd which one has the gie y-intercept. Explain why your answers are correct. Show your work.please

Mathematics
2 answers:
Alenkasestr [34]3 years ago
7 0

Answer:

-1

Step-by-step explanation:


Eva8 [605]3 years ago
6 0

Answer:

Both the rate of change and the y-intercept are greater in function L

Step-by-step explanation:

To find which has the greater rate of change and the greater y-intercept, start by modeling the equation in the table. We can do that by first finding the slope using two points and the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - -1)/(1 - -1)

m = 6/2

m = 3

Now using that slope and a point, we can find the equation using point-slope form.

y - y1 = m(x - x1)

y - 5 = 3(x - 1)

y - 5 = 3x - 3

y = 3x + 2

Now we can compare the two equations. First, we know the rate of change is greater in equation L due to the coefficient of x being higher. We also know that the y-intercept is greater due to the constant at the end being greater.

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A coin will be tossed three times, and each toss will be recorded as heads (H) or tails (T). Give the sample space describing al
cricket20 [7]

Answer:

Sample space:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Third toss is heads:

{HHT, HTT, THT, TTT}

First toss is heads, second tails and third heads:

{HTH}

Explanation:

In order to find the sample space we need to write all the possible outcomes from tossing the coin three times.You can start by writting all the possible outcomes for the first toss being a head and finish with all the possible outcomes for the first toss being Tails. The number of elements in the sample space can be found by multiplying the possible outcomes of each toss together, so 2*2*2=8

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For the third toss being heads we will have one restriction this time. Which is that the third toss is Tails. You can take the elements from the sample space where the third element is a tails. In this case, the number of elements can be calculated by multiplying the possible outcomes for only the first two tosses 2*2=4

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For first toss is heads, second tails and third heads there is only one possible way for you to get this outcome so there is only one element to this set.

{HTH}

4 0
2 years ago
Does anyone know a math equation using the distributive property that equals 15
Lubov Fominskaja [6]

Answer:

3(5)=x

Explenation:

3*5 is equal to 15

5 0
2 years ago
Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, mo
Ymorist [56]

Answer:

-62024.48

Step-by-step explanation:

Given

[ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5]

Required

Solve

The question is poorly formatted; the only way to answer this is to place the result of each step in brackets until brackets cannot be used.

So, we have

[ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5 ]

Solve the expressions in the inner brackets

[ 4 * 7 ] - 3 [ 2  \div 1 2 ] * 2 ( 8.4  ) * ( 4 ) [ 9 \div 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ]

Solve all divisions

[ 4 * 7 ] - 3 * \frac{1}{6}  * 2 ( 8.4  ) * ( 4 ) [ 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ]

[28] - 0.5  * (16.8) * (4) [9] * (21.6) * [9.5]

[28] - 0.5  * (16.8) *  [36] * (21.6) * [9.5]

Multiply through

28- 62052.48

-62024.48

3 0
2 years ago
Derive the equation of motion of the spring-mass system given below. Please show and MARK your derivation step by step. Missing
Arte-miy333 [17]

Answer:

Ö + θ ( (k/m) + (g/l)) = 0

Step-by-step explanation:

Use the FBD attached:

Apply Newtons 2 nd Law in tangential direction:

Sum ( Ft ) = m*a

Sum of all tangential forces is:

m*g*sin(θ) + k*l*sin(θ)*cos(θ) = - m*l*Ö

Using small angle approximations:

sin (θ) = θ

cos (θ) = 1

Ö = angular acceleration.

m*g*θ + k*l*θ = -m*l*Ö

Ö + θ ( (k/m) + (g/l)) = 0

5 0
3 years ago
Mariana tried to drink a slushy as fast as she could.She drank the slushy at a rate of 4.5 miliiliter per second.After 17 second
umka21 [38]
Since she drank 4.5 mm of slushy per second, she continued to drink for 17 seconds so 4.5•17=76.5 Now that you have how much she drank, add that to how much is remaining (148.5) and the original amount that she drank; the answer is 225 milliliter of slushy
4 0
3 years ago
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