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yarga [219]
3 years ago
8

Which of the following ordered pairs is a solution to the inequality y>−2x+7?

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0

Answer: x>-1/2y+7/2

Step-by-step explanation:

You might be interested in
How do you write a ratio as a percent? Explaib
yawa3891 [41]

Answer:

Multiply it by 100%

Step-by-step explanation:

1/2 = 1/2×100% = (1/2×100)% = 50% . . . . . for example

_____

Equivalently, express the ratio with 100 as the denominator.

... 1/2 × 50/50 = 50/100 = 50%

_____

It can be useful to think of "%" as a shorthand way to write "/100".

8 0
3 years ago
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 5. If there were 7
Zinaida [17]

Answer:

2967 yes votes

Step-by-step explanation:

Welcome to Brainly!

One way of doing this problem follows:

Find the ratio, r, mentioned in the problem statement.  To do this,

write the equation 3r + 5r = 7912 and solve this for r:

8r = 7912, so that r = 989.

Then the number of yes votes was 3(989), or 2967, and the number of no votes was 5(989), or 4947.

check:  Does the ratio 2967/4947 equal 3/5?  yes.

There were 2967 yes votes.

8 0
3 years ago
Let f (x) = 3x − 1 and ε > 0. Find a δ > 0 such that 0 < ∣x − 5∣ < δ implies ∣f (x) − 14∣ < ε. (Find the largest
s344n2d4d5 [400]

Answer:

This proves that f is continous at x=5.

Step-by-step explanation:

Taking f(x) = 3x-1 and \varepsilon>0, we want to find a \delta such that |f(x)-14|

At first, we will assume that this delta exists and we will try to figure out its value.

Suppose that |x-5|. Then

|f(x)-14| = |3x-1-14| = |3x-15|=|3(x-5)| = 3|x-5|< 3\delta.

Then, if |x-5|, then |f(x)-14|. So, in this case, if 3\delta \leq \varepsilon we get that |f(x)-14|. The maximum value of delta is \frac{\varepsilon}{3}.

By definition, this procedure proves that \lim_{x\to 5}f(x) = 14. Note that f(5)=14, so this proves that f is continous at x=5.

3 0
2 years ago
g A visit to a hospital emergency room for something as simple as a sore throat could have a mean cost of $328. Assume that this
Rasek [7]

Answer:

The cut-off dollar amount is $328.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean cost of $328, standard deviation of $82.

This means that \mu = 328, \sigma = 82

If you want to be in the bottom 50%, what will be the cut-off dollar amount?

The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.

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

0 = \frac{X - 328}{82}

X - 328 = 0*82

X = 328

The cut-off dollar amount is $328.

7 0
2 years ago
Rewrite 140^1/8 in radical form.
notka56 [123]
140^1/8 = \sqrt[8]{140} 
4 0
3 years ago
Read 2 more answers
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