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3 years ago

Need help don’t understand

Mathematics

1 answer:

Xelga [282]3 years ago

7 0

Answer:

2 real solutions

Step-by-step explanation:

To determine the nature of the solutions use the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real solutions

• If b² - 4ac = 0 the 2 real and equal solutions

• If b² - 4ac < 0 then no real solutions

Given

x² + 9x + 20 = 0 ← in standard form

with a = 1, b = 9, c = 20, then

b² - 4ac

= 9² - (4 × 1 × 20 ) = 81 - 80 = 1

Since b² - 4ac > 0 then there are 2 real solutions

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The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds

boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation $h=-16t^2+24t+16$ , where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation $h=-16t^2+24t+16$ , we get,

$0=-16t^2+24t+16$

Switch sides, we have,

$-16 t^{2}+24 t+16=0$

Let us solve the equation using the quadratic formula.

Thus, we have,

$t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}$

Simplifying, we get,

$t=\frac{-24 \pm \sqrt{576+1024}}{-32}$

$t=\frac{-24 \pm \sqrt{1600}}{-32}$

$t=\frac{-24 \pm 40}{-32}$

Hence, the two values of t are

$t=\frac{-24 + 40}{-32}$ and $t=\frac{-24 -40}{-32}$

Simplifying the values, we get,

$t=\frac{16}{-32}$ and $t=\frac{-64}{-32}$

Dividing, we get,

$t=-\frac{1}{2}$ and $t=2$

Since, t cannot negative values, we have,

$t=2$

Thus, the rock will hit the ground at 2 seconds.

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3 years ago

What are the roots of the equation 2x2<br> 13x + 25 = 0 in simplest a + bi form?

butalik [34]

13x+25=0
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3 years ago

The cable company is analyzing data from two satellite television providers to determine whether their users spend more time wat

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Answer:

59%

Step-by-step explanation:

The information from Satellite Company Y is:

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The total number of people from Y is:

65 + 94 = 159

So the probability that a random person from Y watches recorded shows more often is given by the division of the number of people watching more recorded shows (94) over the total number of people (159):

Probability = 94 / 159 = 0.5912 = 59.12%

Rounding to nearest whole percent, we have 59%

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4 years ago

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Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.

kipiarov [429]

Answer:

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