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3 years ago

Four more than a number is no more than 13

Mathematics

1 answer:

hram777 [196]3 years ago

3 0

Answer:

x+4≤13

just analyze the words carefully and their meanings, ex.: no more than = ≤

if you wish for the answer to this inequality:

x ≤ 9

just subtract 4 from both sides to leave x alone

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A football is kicked from the ground and follows the graph of the function y = –t2 + 3t, where y represents height and t represe

vesna_86 [32]

Answer:

The height of the objects are the same after 2 seconds.

Step-by-step explanation:

In order to calculate at which time both objects have the same height we need to find the value of t that makes both equations equal. Therefore:

$-t^2 + 3t = -t + 4\\t^2 - 3t - t + 4 = 0\\t^2 - 4t + 4 = 0\\t_{1,2} = \frac{-(-4) \pm \sqrt{(-4)^2 - 4*1*4}}{2*1} = \frac{4 \pm \sqrt{16 - 16}}{2}\\t_{1,2} = \frac{4}{2} = 2$

The height of the objects are the same after 2 seconds.

8 0

3 years ago

2. How many real number solutions are there to the equation 0 =-3x2 + x - 4?

goblinko [34]

For this case we have the following quadratic equation:

$-3x ^ 2 + x-4 = 0$

Where:

$a = -3\\b = 1\\c = -4$

By definition, the discriminant of a quadratic equation is given by:

$d = b ^ 2-4 (a) (c)$

We have to:

$d> 0:$ Two different real roots

$d$ Two different complex roots

$d = 0:$ Two equal real roots

Substituting the values we have:

$d = 1 ^ 2-4 (-3) (- 4)\\d = 1-48\\d = -47$

So, we have two different complex roots

Answer:

Two different complex roots

7 0

3 years ago

Solve (x + 6)/x - 4) = -16<br> 0 (-12. 22)<br> 0 1-4. 2)<br> O {-4. 6)

Snowcat [4.5K]

Answer:

$3\frac{7}{17}$

Step-by-step explanation:

$\frac{(x + 6)}{(x - 4)} = - 16 \\ \\ x + 6 = - 16(x - 4) \\ x + 6 = - 16x + 64 \\ x + 16x = 64 - 6 \\ 17x = 58 \\ x = \frac{58}{17} \\ x = 3\frac{7}{17} \\$