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4 years ago

Graph the function f(x)=32x−4. Use the line tool and select two points to graph.

Mathematics

2 answers:

erma4kov [3.2K]4 years ago

8 0

Answer with Step-by-step explanation:

We are given that a function

$f(x)=32x-4$

We have to graph the given function by using line tool.

To find the y-intercept:

Substitute x=0 then we get

$f(0)=32(0)-4=-4$

The function f(x) intersect the y-axis at point (0,-4).

To find the x-intercept :

Substitute y=0

Then , we get

$0=32x-4$

$32x=4$

$x=\frac{4}{32}=0.125$

Therefore, the function intersect the x- axis at point (0.125,0).

Now, mark the points on the graph and then meet these points.

muminat4 years ago

4 0

Answer:

I believe the points (0,-4) and (1,28) work. You can also use (0.125,0) if you can.

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If 1 inch is 500 miles, then 4 inches is how many miles?

tiny-mole [99]

Answer:

2,000 miles

Step-by-step explanation:

We are given:

$1 inch=500 miles$

This can be rewritten as:

$\frac{500 miles}{1inch}$

This is representative of a unit rate, as we have a $1$ in the denominator. To calculate the number of miles in $4$ inches, simply multiply the unit rate by $4$ :

$\frac{500 miles}{1inch}*4=$

$\frac{2000 miles}{4 inches}$

This can rewritten as:

$4inches=2000miles$

Therefore, there are 2,000 miles in 4 inches.

We can check our solution by simplifying the fraction $\frac{2000 miles}{4 inches}$ by dividing both $2000$ and $4$ by $4$ to see if we achieve the unit rate:

$\frac{500 miles}{1 inch}$

Since this is in fact the unit rate, our solution is correct!

6 0

3 years ago

Read 2 more answers

Help help help help help math

almond37 [142]

Step-by-step explanation:

don't panic. just breathe and think logically.

why would these angles be different ? how could they be different ?

right : they cannot be different. otherwise the 2 horizontal lines would not be parallel.

so, yes, indeed, these 2 angles are identical.

3x + 2 = 2x + 6

x = 4

that's it.

7 0

2 years ago

An airplane is flying at an altitude of 36,000 feet when it begins it's descent for landing. Twelve minutes into its descent, it

lina2011 [118]

36000 divided by 29,400 get the answer then divide by 12

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2 years ago

(1 point) The cost of unleaded gasoline once followed an unknown distribution with a mean of $4.59 and a standard deviation of $

marin [14]

Answer:

a) unknown

b) 1.43% probability that the average price for 30 gas stations is less than $4.55.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 4.59, \sigma = 0.1$

a) What's the approximate probability that the average price for 16 gas stations is over $4.69?

Sample size less than 30 and unknow distribution. Therefore, the central limit theorem cannot be applied and the answer is unknown.

b) Find the probability that the average price for 30 gas stations is less than $4.55.

Now $n = 30, s = \frac{0.1}{\sqrt{30}} = 0.0183$

This probability is the pvalue of Z when X = 4.55. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{4.55 - 4.59}{0.0183}$

$Z = -2.19$

$Z = -2.19$ has a pvalue of 0.0143

1.43% probability that the average price for 30 gas stations is less than $4.55.

5 0

4 years ago

Describe several real world situations can be modeled by equations of the form Y equals MX plus be or Y equals MX explain how th

lara [203]

The linear equation represents y = mx + b describes several real world situations such as

Relation between printer and ink cartridges,

Relationship between number of songs and how much is left on the card.

<u>Step-by-step explanation</u>:

Linear equations y = mx + b.

m is your rate of change.

b is your constant. This is the initial value of y. The value of y when x is 0.

Finally, y is the thing that depends on x.

Oh right, examples:

I buy a printer for $100 and the ink cartridges cost $25 each. The relationship between ink cartridges and total cost.

total cost = 25(cartridges I buy) + 100 or y = 25x + 100

I get a $100 iTunes gift card for my birthday and then start buying $1 songs. The relationship between the number of songs I buy and how much is left on the card

amount left on card = -$1(songs bought) + 100 or y = -x +100

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3 years ago