All categories

3 years ago

Consider the attached function - The values are?

Mathematics

1 answer:

kow [346]3 years ago

7 0

To find the value f(-7), we just need to evaluate the function at $x=-7$ . In other words, we are going to replace $x$ with -7 in the function:
$f(x)=( \frac{1}{2} )^x$
$f(-7)=( \frac{1}{2})^{-7}$
$f(-7)=128$

Similarly, to find the value of f(5), we just need to evaluate the function at $x=5$ . In other words, we are going to replace $x$ with 5 in the function:
$f(x)=( \frac{1}{2} )^x$
$f(5)=( \frac{1}{2})^{5}$
$f(5)=0.031$

We can conclude that $f(-7)=128$ and $f(5)=0.031$

You might be interested in

Please help me with both questions!!!!

Naya [18.7K]

Answer:

Step-by-step explanation:

16.

points are (0,-3),(2,1),(4,-3)

eq. of line through (0,-3) and (2,1) is

y+3=\frac{1+3}{2-0}(x-0)

or y+3=2x

2x-y=3

as the line is dotted so either < or >.

consider 2x-y>3

put x=0,y=0

0>3

which is not possible .

(0,0) does not satisfy the inequality

Hence shaded region is the required region.

now eq of line through (2,1)and (4,-3) is

y-1=\frac{-3-1}{4-2}(x-2)

y-1=-2(x-2)

y-1=-2x+4

2x+y=5

it is also a dotted line so either < or >

consider 2x+y<5

put x=0,y=0

0<5

which is true.

so (0,0) satisfy this inequality.

so the two inequalities are

2x-y>3

and 2x+y<5

17.

consider the points (0,4),(2,3),(4,4)

eq. of line through (0,4) and (2,3) is

y-4=\frac{3-4}{2-0}(x-0)

y-4=-1/2(x)

2y-8=-x

or x+2y=8

as the line is solid

so either≤ or ≥

consider x+2y≥8

put x=0,y=0

0≥8

which is impossible.

(0,0) does not satisfy the graph.

which is true as graph lies above the line.

again eq. of line through (2,3) and (4,4) is

y-3=\frac{4-3}{4-2}(x-2)

y-3=1/2(x-2)

2y-6=x-2

x-2y=-4

consider x-2y≤-4

put x=0, y=0

0≤-4

which is impossible.

so (0,0) does not satisfy the graph.

so inequality is true as shaded portion is above and left of the line.

so two inequalities are

x+2y≥ 8

and x-2y≤-4

5 0

3 years ago

Find the value of b. 15° 25° bº b=

kvv77 [185]

Answer:

Step-by-step explanation:

15 plus 10 equals 25.

25 plus 10 equals 35.

Hope it helps!

7 0

3 years ago

Anne pays cash for a Tv. The store owner gives her a 10% discount. She pays $702. How much was the price of the Tv before a disc

Whitepunk [10]

Answer:

$780

Step-by-step explanation:

P = Original Price

P (100% - 10%) = $702

P (90%) = $702

(P (.9)) / .9 = $702 / .9

P = $780

Check answer:

$780 (90%) = $702

6 0

2 years ago

Which description means the same as the limit expression? (Image attached)

Rashid [163]

Answer:

B. The graph rises on the left side.

Step-by-step explanation:

The limit provided on the image is interpreted as; The limit of the function f(x) as x approaches negative infinity is infinity.

X is approaching negative infinity, this means that along the x-axis we are moving towards the left where the values of x become increasingly negative.

On the other hand, f(x) is approaching positive infinity, meaning that along the y-axis we are moving upwards where the values of y become increasingly positive.

This typically implies that as we move towards the left the graph of f(x) is moving upwards or basically the graph rises on the left side.

3 0

3 years ago

A mixture of 12 liters of chemical A, 16 liters of chemical B, and 26 liters of chemical C is required to kill a destructive cro

VMariaS [17]

Answer:

From Commercial spray X: 4 liters from Chemical A, 8 liters from Chemical B and 8 liters from Chemical C.
From Commercial spray Y: 18 liters of Chemical C
From Commercial spray Z: 8 liters of Chemical A and 8 liters of Chemical B.

Step-by-step explanation:

Since we need a lot of chemical C, we are going to leave Commercial spray Y for last in case we lack in case we need more Chemical C, which is supplied by spray Y.

We need to cover the demand of both chemical A and B. For each liter of Chemical A we get 2 liters of Chemical B by using Commercial spray X. And for each liter of Chemical A we get 2 liters of Chemical B by using spray Z.

We will call X the number of units of Commercial spray X used, where each unit contains 1 liter of Chemical A, 2 liters of Chemical B and 2 iters of Chemical C. Y is the number of units of Commercial spray Y used, containing each of them 1 liter of Chemical C, and Z the number of units of commercial spray Z used, on units containing both 1 liter of Chemical A and Chemical B.

We can represent the amount of liters we have for each chemical on a vector of the form (a,b,c) where a reresents the amount of Chemical A, b the amount of chemical B, and c the amount of chemical C. We want (a,b,c) to be equal to (12,16,26), in other words, we want a to be 12, b to be 16 and c to b 26. Furthermore we can obtain (a,b,c) by using this equation

(a,b,c) = X * (1,2,2) + Y * (0,0,1) + Z * (1,1,0) = (1*X+0*Y+1*Z,2*X+0*Y+1*Z,2*X+1*Y+0*Z) = (X+Z,2*X+Z,2*X+Y)

Thus, we have

a = X+Z = 12
b = 2*X+Z = 16
c = 2*X+Y = 26

We can substract the second equation with the first one to obtain the value of X:

X = b-a = (2*X+Z)-(X+Z) = 16-12 = 4

Replacing X by 4, we obtain on the first expression that 4+Z = 12, hence, Z = 8. Since X is 4, 2*X+Y = 8+Y = 26. This gives us that Y must be 18.

We conclude that we need the following amount of Chemical A, B and C:

From Commercial spray X: 4, 4*2 = 8 and 4*2 = 8 liters respectively
From Commercial spray Y: 18 liters of Chemical C
From Commercial spray Z: 8 liters of Chemical A and 8 liters of Chemical B.

I hope i could help you!

6 0

3 years ago