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lidiya [134]
3 years ago
11

How do i solve this problem? how did they get 2.5?

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0
Take the GCF (-8t) of the given expression.

You'll get -8t(2t-5).

Now, set each equal to zero and solve for x.

-8t = 0 2t-5=0

t=0 t = 5/2 (Or 2.5 seconds)
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Let g(x) = 2x and h(x)= x^2 -4. find (g o h)(0)
finlep [7]
The answer is -8

====================================================

Explanation:

There are two ways to get this answer

Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8

-----------------------

The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4

g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8

Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8

Regardless of which method you use, the answer is -8

5 0
3 years ago
A B C D Which triangles are similar?​
Alchen [17]

Answer:

DBA ok you got that maybe

3 0
3 years ago
Find the domain of the function
Svetradugi [14.3K]

Answer:

<em>The domain of f is (-∞,4)</em>

Step-by-step explanation:

<u>Domain of a Function</u>

The domain of a function f is the set of all the values that the input variable can take so the function exists.

We are given the function

f(x)=\frac{1}{\sqrt{4-x} }

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:

4 - x > 0

Subtracting 4:

- x > -4

Multiplying by -1 and swapping the inequality sign:

x < 4

Thus the domain of f is (-∞,4)

7 0
2 years ago
Between which two ordered pairs does the graph of f(x) = one-halfx2 + x – 9 cross the negative x-axis?
Anit [1.1K]

Answer:

Step-by-step explanation:

we have that

f(x) = x^2 + x - 9

Using a graph tool

see the attached figure

The function represent a vertical parabola that open up

the vertex is a minimum-------> is the point (-0.5, -9.3)

The x-intercepts are the points when the y coordinate is equal to zero

The x-intercepts are the points (-3.5, 0)  and (2.5, 0)

so

the function cross the negative x-axis at point

therefore, the answer is

(-4, 0) and (-3, 0)

6 0
3 years ago
Read 2 more answers
Mikaela purchased a paddleboard originally priced at $699. If all merchandise was on sale for 40% off and the state tax rate is
vitfil [10]

Answer:

299.87

Step-by-step explanation:

699*0.40=279.60\\279.60*0.0725= 20.271 (round)\\279.60+20.27=299.87

6 0
2 years ago
Read 2 more answers
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