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4 years ago

Find the solution set:

Mathematics

2 answers:

Mars2501 [29]4 years ago

6 0

Answer:

Step-by-step explanation:

9x²+4x-5=0

9x²+9x-5x-5=0

9x(x+1)-5(x+1)=0

(x+1)(9x-5)=0

x=-1,5/9

vazorg [7]4 years ago

5 0

Answer:

x = - 1, x = $\frac{5}{9}$

Step-by-step explanation:

Given

9x² + 4x - 5 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 9 × - 5 = - 45 and sum = + 4

the factors are + 9 and - 5

Use these factors to split the x- term

9x² + 9x - 5x - 5 = 0 ( factor the first/second and third/fourth terms )

9x(x + 1) - 5(x + 1) = 0 ← factor out (x + 1) from each term

(x + 1)(9x - 5) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

9x - 5 = 0 ⇒ 9x = 5 ⇒ x = $\frac{5}{9}$

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3 years ago

A kitchen drawer has a Volume 1,125 cubic inches. The drawer is 15 inches long and 5 inches deep. What is the width of the drawe

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Answer:

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Step-by-step explanation:

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Nikki just graduated from high school and would like to buy a car. If she received $3000 in graduation gifts from family friends

svetlana [45]

Answer:

$3450

Step-by-step explanation:

Here, P = $3000, N = 1.5 years, R = 10%

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3 years ago

The weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation

Korvikt [17]

Answer:

The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.

Step-by-step explanation:

We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.

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So, X ~ Normal( $\mu=27.5,\sigma^{2} =1.1^{2}$ )

The z score probability distribution for normal distribution is given by;

Z = $\frac{ X-\mu}{\sigma } }$ ~ N(0,1)

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The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

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4 0

3 years ago