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3 years ago

If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)), then the range of G is

Mathematics

1 answer:

lana66690 [7]3 years ago

8 0

Answer:

$\{0, 2, 6, 7\}$

Step-by-step explanation:

You are given the relation $G = \{(-1, 7),(-8, 2),(0, 0),(6, 6)\}$

This means that

$f(-1)=7\\ f(-8)=0\\f(0)=0\\f(6)=6$

The input values of this relation are $-1,\ -8,\ 0,\ 6$ , so the domain of this relation is $\{-8,-1,0,6\}$

The output values of this relation are $7,\ 2,\ 0,\ 6$ , so the range of this relation is $\{0, 2, 6, 7\}$

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A man starts at a point A and walks 18 feet north. He then turns and walks due east at 18 feet per second. If a searchlight plac

34kurt

Answer:

1/10 per sec

Step-by-step explanation:

When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent

tanΘ = x/18

Taking the derivative with respect to time

sec²Θ dΘ/dt = 1/18 dx/dt.

He's walking at a rate of 18 ft/sec, so dx/dt = 18.

After 3seconds,

Speed = distance/time

18ft/sec =distance/3secs

x = 18 ft/sec (3 sec)

= 54ft. At this moment

tanΘ = 54/18

= 3

sec²Θ = 1 + tan²Θ

1 + 3² = 1+9

= 10

So at this moment

10 dΘ/dt = (1/18ft) 18 ft/sec = 1

10dΘ/dt = 1

dΘ/dt = 1/10 per sec

8 0

3 years ago

Factor 1.21a^6+22a^3+100

Monica [59]

Answer:

$\frac{1}{100} (11 {a}^{3} + 100)(11 {a}^{3} + 100)$

Step-by-step explanation:

$1.21 {a}^{6} + 22 {a}^{3} + 100 \\ = 1.21 {a}^{6} + 11 {a}^{3} + 11 {a}^{3}+ 100 \\ = 11 {a}^{3} (0.11 {a}^{3} + 1) + 100(0.11 {a}^{3} + 1) \\ = (0.11 {a}^{3} + 1) (11 {a}^{3} + 100) \\ = ( \frac{11}{100} {a}^{3} + 1) (11 {a}^{3} + 100) \\ = ( \frac{11{a}^{3} + 100}{100} ) (11 {a}^{3} + 100) \\ = \frac{1}{100} (11 {a}^{3} + 100)(11 {a}^{3} + 100) \\ are \: the \: required \: factors.$

4 0

3 years ago

Can you please help me solve each inequality and help me graph each solution set.. can u please help me with #5,#6,#7,#8

Law Incorporation [45]

5) y ≥ -1/2
6) x <span>< 3/4
7) y </span>≥ 1/2
8) x <span>> 1</span>

7 0

3 years ago

Solve for b in the formula 3a+2b =c A.) b=c-3a/2 B.) b= c-2/3a C.) B= 2c/3a D.) b= c-3a

Agata [3.3K]

Answer:

b = (c-3a)/2

Step-by-step explanation:

3a+2b =c

Subtract 3a from each side

3a-3a+2b =c-3a

2b = c -3a

Divide each side by 2

2b/2 = (c-3a)/2

b = (c-3a)/2

3 0

3 years ago

Kyle paid $2,800 plus 7% tax. What is his total?

Savatey [412]

So, the tax is 7% of 2800. how much is this?

$\frac{7}{100}*2800=7*28= 196$

so, Kyle will have to pay 196 taxes.

This means that Kyle will pay the original prize (2800) and additionally 196:

2800+196=2996. This is the total amount to be paid.

6 0

3 years ago