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Tomtit [17]
2 years ago
15

Factor the following quadratic. y=2x^2 - 5x - 3

Mathematics
1 answer:
Reptile [31]2 years ago
3 0

Answer:

(2x + 1)(x - 3)

Step-by-step explanation:

y = 2 {x}^{2}  - 5x - 3

2 {x}^{2}  - 5x - 3 = 0

(2x + 1)(x - 3)  = 0

x =  -  \frac{1}{2}

x = 3

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Help me plsssssssssssss
LUCKY_DIMON [66]

Answer:

The radius is 5 cm

Step-by-step explanation:

The formula for the area of a circle is :  \p*radius^2

To work out the length of the radius you would first need to divide the area of  78.5 cm by pi (pi=3.14), this gives you 25cm^2\\. This is because by dividing the area by pi we are isolating the value of the radius squared.

The final step is to work out the radius. You can do this by finding the square root of the radius squared which is 25, this gives you 5 cm. This means that the radius is 5 cm. This is because the square root is a number that when squared equals that number.

1) Divide 78.5 by pi.

78.5/\pi=25cm^2

2) Find the square root of 25 cm squared.

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In this question pi is 3.14

6 0
3 years ago
Solving simular triangles advanced
Reptile [31]

Answer:

x = 3/2

Step-by-step explanation:

We can use ratios to solve

6            6+x

-------- = -----------

4              5

Using cross products

6*5 = 4 * (6+x)

30 = 24 + 4x

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30 -24 = 24+4x-24

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Divide each side by 4

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3 years ago
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For a data set of the pulse rates for a sample of adult? females, the lowest pulse rate is 39 beats per? minute, the mean of the
Zarrin [17]

Answer:

a) The difference is of 35 beats per minute.

b) So 3.07 standard deviations below the mean.

c) Z = -3.07.

Step-by-step explanation:

Z-score:

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.

In this question:

Mean \mu = 74, standard deviation \sigma = 11.4

a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the? females?

39 - 74 = -35

The difference is of 35 beats per minute.

b. How many standard deviations is that? [the difference found in part? (a)?

|Z| when X = 39. So

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

Z = \frac{39 - 74}{11.4}

Z = -3.07

|Z| = 3.07

So 3.07 standard deviations below the mean.

c. Convert the pulse rate of 39 beats per minutes to a z score.

From item b. above, Z = -3.07.

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Step-by-step explanation:

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