PLEASE HELP ME OUT PLEASE PLEASE IT WOULD BE HELPFUL THANK YOU

1. How would you solve the equation<br> 3a + 7 = – 2 by graphing?

ddd [48]

Answer:

You draw it on the graph right

4 0

3 years ago

Can someone help me understand how to do this quadratic math problem

Juliette [100K]

Answer:

put all of the expressions into the same form, such as standard form

Step-by-step explanation:

When you're trying to determine whether one expression is equivalent to another, you need to put both of the expressions into the same form. This will generally require some algebraic manipulation using the rules of equality.

Here, you're given a quadratic in standard form. From what we can see of the one partial answer, some of the choices are in vertex form. To determine if they are equivalent, you can do either of two things ...

Put the given expression into vertex form
Expand the answer choice to put it in standard form

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<em>For multiple-choice questions</em> of this type, it is often sufficient to look at one or two terms of the different equations. That is usually all it takes to separate a good answer from a bad one.

You can start with the x^2 term. Any answer choice that has an x^2 coefficient different from 1 will be rejected.

Next, you can look at the sign of the x term. Any answer choice that doesn't have a positive x term will be rejected.

Finally, you can look a the constant term. Any answer choice that doesn't have a constant term of +4 will be rejected.

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As it happens, the given equation is a perfect square, so one equivalent is ...

y = (x +2)^2

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When working with quadratics, it can be helpful to memorize a couple of the ways they can be written:

(x +b)^2 = (x^2 +2bx + b^2)

This is a special case of ...

(x +a)(x +b) = x^2 +(a+b)x + ab

3 0

3 years ago

How do you Change 0.3 to a fraction?

ArbitrLikvidat [17]

Answer:

3/10

Step-by-step explanation:

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

8 0

3 years ago

Read 2 more answers

Assume that blood pressure readings are normally distributed with a mean of 115 and a standard deviation of 8. If 100 people are

Sergeu [11.5K]

Answer:

D. 0.9938.

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 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.

Central Limit Theorem

The Central Limit Theorem establishes 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.

Mean of 115 and a standard deviation of 8.

This means that $\mu = 115, \sigma = 8$

100 people are randomly selected

This means that $n = 100, s = \frac{8}{\sqrt{100}} = 0.8$

Find the probability that their mean blood pressure will be less than 117.

This is the p-value of Z when X = 117, so:

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

By the Central Limit Theorem

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

$Z = \frac{117 - 115}{0.8}$

$Z = 2.5$

$Z = 2.5$ has a p-value of 0.9938, and thus, the correct answer is given by option D.

8 0

3 years ago

If d = m/v, what is the equation when solved for v? **please explain**

inn [45]

V= m/d. When you get questions asking about density/mass/volume draw a triangle just like in the picture i have attached and with your finger cover up the one you are looking for. So to find the equation for volume you cover up volume and you are left with mass divided by density.

8 0

3 years ago