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finlep [7]
3 years ago
10

Consider the function below.

Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0

Answer:

See the attachment for the points and line of interest.

Step-by-step explanation:

A graphing calculator or graphing utility can show you the curve.

For ax²+bx+c, the line of symmetry is x=-b/(2a). That is also the x-coordinate of the vertex. The y-intercept is the constant, the value of the function when x=0. The x-intercepts are the values of x that make f(x) = 0.

Here, those are x=4 and x=-2. You can factor f(x) as (x+2)(x-4). These values of x make the factors, and the function, zero.

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What is the solution to the equation?
ki77a [65]

Answer:

7

Step-by-step explanation:

3 {(x + 9)}^{ \frac{3}{4} }  = 24 \\  \\ {(x + 9)}^{ \frac{3}{4} }  =  \frac{24}{3}  \\  \\  {(x + 9)}^{ \frac{3}{4} }  =  8  \\  \\  {(x + 9)}^{ \frac{3}{4} }  =   {2}^{3}   \\  \\ (x + 9) =  {2}^{3 \times  \frac{4}{3} }  \\  \\ x + 9 =  {2}^{4}  \\  \\ x + 9 = 16 \\  \\ x = 16 - 9 \\  \\ x = 7

7 0
3 years ago
A. x = 65 <br> B. x = 40 <br> C. x = 20 <br> D. x = 60
slavikrds [6]

Answer:

sims 4

Step-by-step explanation:

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4 0
3 years ago
A private airplane leaves an airport and flies due east at 192 km/hr. Two hours later, a jet leaves the same airport and flies d
elixir [45]
The answer is 0.5 hours.

A velocity (v) of an object is a distance (d) divided by time (t):
v = d ÷ t                         ⇒                  t = d ÷ v

It is given:
v1 = 192 km/h
v2 = 960 km/h
t1 - t2 = 2h
We need to calculate t2.

Since they will travel the same distance before the jet overtakes the plane, we can say that d1 = d2 = d

Now, let's express t1 and t2:
t1 = d/192
t2 = d/960

Therefore: d/192 - d/960 = 2
The least common denominator is 960, so:
5d/960 - d/960 = 2
4d/960 = 2
4d = 2 · 960
4d = 1920
d = 1920 ÷ 4 = 480 km

Now t2 = d/960 = 480/960 = 0.5 hours.
5 0
3 years ago
How many gallons of gas is in my tank?
weqwewe [10]

F(180) = x/30

= 180/30 = 6 gallons of gas is needed

5 0
3 years ago
8/15-3/15 what’s the answer
kolbaska11 [484]

Answer:

5/15

Step-by-step explanation:

5 0
3 years ago
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