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docker41 [41]
3 years ago
7

Identify one similarity and one difference between the graph of y = 2x + 4 and the graph of y= -1/2x+4

Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
7 0

Answer:

One difference would be the slope of the lines. One similarity would be where the lines cross the y-axis.

Step-by-step explanation:

This can be seen when we use the equation y=mx+b. m stands for the slope of the line and b stands for where the line is going to cross the y-axis.

I hope this helps.

-Cam ♡

blsea [12.9K]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

The slope-intercept form of the equation of a line.

y = mx + b

m = slope; b = y-intercept

The two equations in this problem:

y = 2x + 4

y = -1/2x + 4

Similarity: Both y-intercepts are the same. They are 4.

y = 2x + 4

y = -1/2x + 4

Difference: The slopes are different. They are 2 and -1/2.

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Answer:

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Step-by-step explanation:

-2x+15=7

-2x=7-15

-2x=-8

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x=6

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3 years ago
A major department store has determined that its customers charge an average of $500 per month, with a standard deviation of $80
julia-pushkina [17]

Answer:

Step-by-step explanation:

Since the amounts of charges are assumed to be normally distributed,

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the amounts of charges.

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σ = standard deviation

From the information given,

µ = $500

σ = $80

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P(x > 380) = 1 - P(x ≤ 380)

For x = 380,

z = (380 - 500)/80 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.067

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The percentage of customers that charges more than $380 per month is

0.933 × 100 = 93.3%

b) the probability that customers charges less than $340 per month is expressed as

P(x < 340)

For x = 340,

z = (340 - 500)/80 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

The percentage of customers that charges less than $340 per month is

0.023 × 100 = 2.3%

c) the probability that customers charges between $644 and $700 per month is expressed as

P(644 ≤ x ≤ 700)

For x = 644,

z = (644 - 500)/80 = 1.8

Looking at the normal distribution table, the probability corresponding to the z score is 0.96

For x = 700,

z = (700 - 500)/80 = 2.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.994

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The percentage of customers that charges between $644 and $700 per month is

0.034 × 100 = 3.4%

3 0
3 years ago
there is 4/5 lb of sand in science supplies. if one scoop of sand weighs 1/20 of a lb how many scoops of sand can maria get from
tatuchka [14]
We want to divide whole sand into scoops, so we have to divide 4/5 by 1/20. Lets do this

\frac{ \frac{4}{5} }{ \frac{1}{20} }
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\frac{ \frac{4}{5} }{ \frac{1}{20} }
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3 years ago
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The way she has the equation set up, she is only selling 1 bottle of tea and x bottles of water. So, she basically forgot to put the variable in that represents the number of bottles of tea sold

the way it should be : x = # of bottles of water, and y = # of bottles of tea
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8 0
3 years ago
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