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2 years ago

I have one more question before im done so please help and have a good day.

Mathematics

1 answer:

3241004551 [841]2 years ago

6 0

Answer:

See below

Step-by-step explanation:

<u>Solve the equation:</u>

6x² + 48x + 120 = 0
x² + 8x + 20 = 0
x² + 8x + 16 + 4 = 0
(x + 4)² + 4 = 0
(x + 4)² = - 4

The left side is positive and right side is negative so no solution

There is no intercession with the x-axis, the graph of the function is entirely above the x-axis.

It means the diver won't reach the bottom of the lake

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Determine whetherf(x) = 6x2+ 12x + 8 has a minimum or maximum value and find thevalue of the minimum or maximum. Also, find the

Svetllana [295]

Answer:

minimum value: 2
axis of symmetry: x = -1

Step-by-step explanation:

A graphing calculator can answer this very quickly. The graph shows the minimum is 2, at x=-1. The axis of symmetry is the vertical line through that point so is x = -1.

The extreme value of the quadratic ax^2 +bx +c is found at x = -b/(2a). Your quadratic has a=6 and b=12, so the extreme value is located on the line of symmetry at ...

x = -12/(2·6)

x = -1 . . . . . . . . . . line of symmetry; x-coordinate of vertex

The leading coefficient of this even-degree polynomial is <em>positive</em>, so we know it opens <em>upward</em>. That means the vertex is a minimum.

The value of the function at the vertex is ...

f(-1) = 6(-1)^2 +12(-1) +8 = 6 -12 +8 = 2

The minimum value is 2.

4 0

3 years ago

Someone help me pls

kow [346]

Assuming the typewriter-looking words are the line names...
1. Line R
2. Line Q (Or R, but it is most likely Q)
3. Points E and F

Collinear Meaning: http://mathworld.wolfram.com/Collinear.html

5 0

4 years ago

Find the exact length of the third side.<br> 52<br> 48

oksano4ka [1.4K]

Answer:

<h3><u>Here</u><u> </u><u>in</u><u> </u><u>diagram</u><u> </u></h3>

this is a Right angled triangle
where
hypontenuse =h=52
Base=b=48

We need to find

perpendicular =p

According to Pythagorean theory

${\boxed{\sf h^2=p^2+b^2}}$

$\qquad\quad {:}\longrightarrow\tt p^2=h^2-b^2$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt {h^2-b^2}$

Substitute the values

$\qquad\quad {:}\longrightarrow\tt p=\sqrt{52^2-48^2}$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt {2704-2304}$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt{400}$

$\qquad\quad {:}\longrightarrow\tt p=20$

8 0

3 years ago

There is a relationship between the expected number of tickets sold for a raffle and the dollar value of the prize for the raffl

nadya68 [22]

Answer: The dollar value of the raffle prize = 300

Step-by-step explanation:

Given: The equation T - 6P = 100 describes this relationship, where T is the expected number of tickets sold, and P is the dollar value of the raffle prize.

If T =1900

Then,

$1900-6P=100$ [Put T=1900 in given equation]