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MaRussiya [10]
3 years ago
13

Given the function g(x) = 8x − 2, compare and contrast g(−2) and g(4). Choose the statement that is true concerning these two va

lues.
The value of g(−2) is larger than the value of g(4).
The value of g(−2) is the same as the value of g(4).
The value of g(−2) is smaller than the value of g(4).
The values of g(−2) and g(4) cannot be compared.
Mathematics
2 answers:
stira [4]3 years ago
4 0
The value of g(−2) is smaller than the value of g(4).
tresset_1 [31]3 years ago
4 0

Answer:

Owo team add tiger 2Owo team add tiger 2Owo team add tiger 2

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Please Help! 30 POINTS! Given the following three points, find by hand the quadratic function they represent. (−1,−8), (0,−1),(1
ycow [4]

Answer:

(1) B

(2) D

Step-by-step explanation:

(1)

Let the quadratic function be:

y = ax^{2} + bx + c

For the point, (0,-1),

y = ax^{2} + bx + c

-1=(a\times0)+(b\times0}+c\\-1=c\\c=-1

Then the equation is:

y = ax^{2} + bx -1

For the point (-1, -8) ,

y = ax^{2} + bx -1

-8=(a\times (-1)^{2})+(b\times -1)-1\\-8=a-b-1\\a-b=-7...(i)

For the point (1, 2) ,

y = ax^{2} + bx -1

2=(a\times (1)^{2})+(b\times 1)-1\\2=a+b-1\\a+b=3...(ii)

Add the two equations and solve for <em>a</em> as follows:

a-b=-7\\a+b=3\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\2a = -4\\a = -2

Substitute <em>a</em> = -2 in (i) and solve for <em>b</em> as follows:

a-b=-7\\-2-b=-7\\b=5

Thus, the quadratic function is:

f(x)=-2x^{2}+5x-1

The correct option is (b).

(2)

The ordered pairs are:

(5, 7), (7, 11), (9, 14), (11, 18)

Represent them in an XY table as follows:

X : 5 | 7 | 9 | 11

Y : 7 | 11 | 14 | 18

Compute the difference between the <em>Y</em> values as follows:

Diff = 11 - 7 = 4

Diff = 14 - 11 = 3

Diff = 18 - 14 = 4

Now compute the difference between the Diff values:

d = 3 - 4 = -1

d = 4 - 3 = 1

Since the differences between the differences of the y-values is not consistent, the ordered pairs do not represent a quadratic equation.

The correct option is D.

8 0
3 years ago
Which equation is the equation of the line, in point-slope form, that has a slope of -1.8 and passes through the point (-0.5, 1.
pishuonlain [190]
Slope=-1.8, X=-0.5, y=1.9
Equation is y^2-y^1=m(x^2-x^1).
Y-1.9=-1.8(X-(-0.5))
Y-1.9=-1.8x+0.90
Add 1.9 on both sides.
Y= -1.8x+1.
I hope this helps you.
7 0
4 years ago
Read 2 more answers
P=2L+2W for W <br> Solve equation for the stated variable
Mandarinka [93]
W=-L+P/2
subtract L to the other side and then diving everything by 2 to get W by itself
7 0
4 years ago
For a concert event, there are $30 reserved seat tickets and $20 general admission tickets. There are 1500 reserved seats availa
Amanda [17]

Answer:

The system of inequalities is as follows:

30x + 20y ≥ 61,000

x ≤ 1500

x + y ≤ 2800

x ≥ 0

y ≥ 0

Step-by-step explanation:

The system of inequalities can be explained as follows:

30x + 20y ≥ 61,000 <= Indicating a take in of at least $61,000 in ticket sales.

x ≤ 1500 <= Indicating that 500 reserved seats are available.

x + y ≤ 2800 <= Indicating limit of the paid ticket holders to 2800.

x ≥ 0  <= Indicating ticket x must be equal or greater than 0.

y ≥ 0 <= Indicating ticket y must be equal or greater than 0.

5 0
3 years ago
the area of the first quadrant bounded by the y-axis, the line y=4-x, and the graph of y=x-cosx is approximately
zzz [600]
The curves y=4-x and y=x-\cos x intersect at approximately x\approx1.8582. The area is then

A\approx\displaystyle\int_0^{1.8582}((4-x)-(x-\cos x))\,\mathrm dx=\int_0^{1.8582}(4-2x+\cos x)\,\mathrm dx\approx4.9389
7 0
4 years ago
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