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andrezito [222]
3 years ago
9

Three functions are given below f(x) g(x) and h(x) determine the axis of symmetry for each function show all calculations

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:


Step-by-step explanation:

f(x) = -2(x − 4^)2+ 2

The vertex is (4,2)

so the axis of symmetry is  is x=4

g(x) = 5x^2− 10x + 7

       h= -b/2a = 10/2(5) = 10/10 =1

The axis of symmetry is at x=1

h(x)  the axis of symmetry is at x=-2

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The value of a boat, in dollars, x years after its purchase is represented by the function.
DIA [1.3K]
The average decrease in value can be solve by first solving the value at year 1 and year 2
and i think the equation is <span>f(x)=10,000(0.73)^x</span>

at x = 1

<span>f(x) = 10,000(0.73)^x
</span><span>f(1) = 10,000(0.73)^(1)
f(1) = 7300

at x = 2
</span><span>f(x) = 10,000(0.73)^x
</span><span>f(2) = 10,000(0.73)^(2)
f(2) = 5329

so the average decrease = ( 7300 - 5329) = $ 1971 per year</span><span>
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8 0
3 years ago
DFGI is a trapezoid with midsegment EH. What is DI?
natka813 [3]

Answer:

a. 8 cm

Step-by-step explanation:

Given:

EH = 6 cm

FG = 4.00 cm

Based on the mid-segment theorem of a trapezoid, we have:

EH = ½(FG + DI)

Plug in the values

6 = ½(4 + DI)

Multiply both sides by 2

6*2 = 4 + DI

12 = 4 + DI

12 - 4 = 4 + DI - 4

8 = DI

DI = 8 cm

7 0
2 years ago
This section of a page from a telephone directory shows a column of 11 names in 1 inch. Each page has four 10-inch columns. Writ
GREYUIT [131]

number of names(p) = 4 columns * 10 inches per column * 11 names per inch * page

number of names(p) = 4*10*11*p = 440*p

The algebraic expression for the number of names in p pages is 440*p

4 0
2 years ago
What is the length of the hypotenuse of the triangles
gogolik [260]

Answer:

To find the Hypotenuse the Pythagoras theorem is used

h² = a² + b²

h = hypotenuse

a = 15cm

b = 8cm

h = ?

h² = 15² + 8²

h = √225 + 64

h = √289

h = 17cm

The Hypotenuse is 17cm

Hope this helps.

6 0
2 years ago
Q bisects PR If PR = 28, andPQ = 2x + 5, what is the value of x? Show your work​
dlinn [17]

Answer:

The value of x is 11.5

Step-by-step explanation:

Here, we want to find the value of x

Since Q bisects PR, it means it divides PR into ii equal angles

Thus PR = PQ

28 = 2x + 5

2x = 28-5

2x = 23

x = 23/2

x = 11.5

7 0
3 years ago
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