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olya-2409 [2.1K]
2 years ago
6

(4x - 3) × (x + 2)=0

Mathematics
2 answers:
matrenka [14]2 years ago
7 0

Hi,

AxB = 0 means A=0. or B=0

so 2 solutions :

4x-3= 0

4x=3

x = 3/4

and x+2 = 0.

x= -2

solutions are : -2 +and 3/4

andriy [413]2 years ago
3 0

2 answers

1) -2

2) -3/4

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Y=3x-8 using function notation
maria [59]

To write it in function notation you'll convert it into a function, substituting y by f(x):


y = 3x - 8 = f(x) = 3x - 8



Hope it helped,



BioTeacher101

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2 years ago
Benny was told to practice playing piano for 4/11 of an hour per day. Benny has already played 3/14 of an hour today. How many h
alekssr [168]
Solution:

4/11 = 0.36

3/14 = 0.21

He still needs to play 0.15 of an hour or 3/20 of an hour.


Given facts - Amount he has to play, and the amount he played.
Question - For how long does he need to practice to meet the required time.
Hidden question - There is nothing hidden
Operations used -  divisions (not necessary), subtractions and conversion (only if used division).
Number sentence - 4/11 - 3/14 = x
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Hope it helped,

Happy homework/ study/ exam!





5 0
2 years ago
How do you divide decimals?
k0ka [10]
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6 0
3 years ago
Read 2 more answers
An article written for a magazine claims that 78% of the magazine's subscribers report eating healthily the previous day. Suppos
Schach [20]

Answer:

89.44% probability that less than 80% of the sample would report eating healthily the previous day

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.78, n = 675

So

\mu = E(X) = np = 675*0.78 = 526.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{675*0.78*0.22} = 10.76

What is the approximate probability that less than 80% of the sample would report eating healthily the previous day?

This is the pvalue of Z when X = 0.8*675 = 540. So

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

Z = \frac{540 - 526.5}{10.76}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

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3 years ago
This is an angle whose measure is exactly 90°
KatRina [158]

Answer:

A right triangle?

Step-by-step explanation:

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