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2 years ago

5x^2 + 9x = -4 What is the “c” value for the following quadratic equation.

Mathematics

1 answer:

ohaa [14]2 years ago

6 0

Answer:

c=4

Step-by-step explanation:

5x^2 + 9x = -4

We need to write this in the form

ax^2 +bx+c = 0

So add 4 to each side

5x^2 + 9x+4 = -4+4

5x^2 + 9x+4 = 0

a =5 b=9 and c =4

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Suppose the time that it takes a certain large bank to approve a home loan is Normally distributed with mean (in days) μ and sta

kolezko [41]

Answer:

Step-by-step explanation:

Null hypothesis (H0): population mean is equal to 5

Alternate hypothesis (Ha): population mean is greater than 5

Z = (sample mean - population mean) ÷ (sd/√n)

sample mean = 5.3, population mean = 5, sd = 1, n = 500

Z = (5.3 - 5) ÷ (1/√500) = 0.3 ÷ 0.045 = 6.67

Using the normal distribution table, for a one tailed test at 0.01 significance level, the critical value is 2.326

Conclusion:

Since 6.67 is greater than 2.326, reject the null hypothesis (H0)

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2 years ago

What shape best describes the cross section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Sq

andreev551 [17]

Answer:

Rectangle.

Step-by-step explanation:

The 2 dimensional section would be a rectangle.

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2 years ago

Raju covers a certain distance in 1 hour and sham covers the same distance in 2 hours , who travels in a higher speed?

dimulka [17.4K]

Answer: Raju travels at a higher speed.

Step-by-step explanation:

$Speed =\dfrac{Distance}{Time}$

Speed inversely proportional to time.

As time taken to cover a particular distance decreases the speed will increase.

Raju covers a certain distance in 1 hour.

Sham covers the same distance in 2 hours.

1< 2

Thus Raju travels at a higher speed.

5 0

2 years ago

A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

$C = Children; S = Students; A = Adults$

For the capacity, we have:

$C + S + A = 329$

For the tickets sold, we have:

$5C + 7S + 12A = 2388$

Half as many as adults are children implies that:

$A = \frac{C}{2}$

Required

Solve for A, C and S

The equations to solve are:

$C + S + A = 329$ -- (1)

$5C + 7S + 12A = 2388$ -- (2)

$A = \frac{C}{2}$ -- (3)

Make C the subject in (3)

$C = 2A$

Substitute $C = 2A$ in (1) and (2)

$C + S + A = 329$ -- (1)

$2A + S + A = 329$

$3A + S = 329$

Make S the subject

$S = 329 - 3A$

$5C + 7S + 12A = 2388$ -- (2)

$5*2A + 7S + 12A = 2388$

$10A + 7S + 12A = 2388$

$7S + 22A = 2388$

Substitute $S = 329 - 3A$

$7(329 - 3A) + 22A = 2388$

$2303 - 21A + 22A = 2388$

$2303 +A = 2388$

Solve for A

$A = 2388 - 2303$

$A = 85$

Recall that: $C = 2A$

$C = 2 * 85$

$C = 170$

Recall that: $S = 329 - 3A$

$S = 329 - 3 * 85$

$S = 329 - 255$

$S = 74$

Hence, the result is:

$C = 170$

$S = 74$

$A = 85$

8 0

2 years ago

This graph shows the temperature in Diego's house between noon and midnight one day.

Finger [1]

A. The temperature goes higher-lower-steady/same-lower-same.
B. I do not understand the question

8 0

2 years ago