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3 years ago

6

what is the simple formula corresponding to the explicit formula if the first term of the sequence is -10 and the difference bet

ween terms in the sequence is 5?

1 answer:

mote1985 [20]3 years ago

8 0

Look in the file below

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If g(x) = -3x + 12, what is the solution set<br> if the domain of gis (-2, 0,2}?

disa [49]

Given:

The function is

$g(x)=-3x+12$

Consider the given domain of g is {-2,0,2}.

To find:

The solution set if the domain of g for the given domain.

Solution:

Domain is the set of input values and range is the set of output value.

We have,

$g(x)=-3x+12$

Domain of g is {-2,0,2}.

For x=-2,

$g(-2)=-3(-2)+12$

$g(-2)=6+12$

$g(-2)=18$

For x=0,

$g(0)=-3(0)+12$

$g(0)=0+12$

$g(0)=12$

For x=2,

$g(2)=-3(2)+12$

$g(2)=-6+12$

$g(2)=6$

Now, the solution set of the given domain of g is

$\{f(-2),f(0),f(2)\}=\{18,12,6\}$

Therefore, the solution set is {18,12,6}.

4 0

3 years ago

Jamal bought 4 pounds of blueberries for $12. Which of the following proportions could be used to help him figure out how much 2

faltersainse [42]

Answer:

$\$6$

Step-by-step explanation:

we know that

Using proportion

$\frac{12}{4}\frac{dollars}{pounds} =\frac{x}{2}\frac{dollars}{pounds}\\ \\ x=12*2/4\\ \\x=\$6$

4 0

2 years ago

you are traveling to an island that is accesible only by boat. you plan to take one boat there and a different boat back. You'll

weqwewe [10]

$\text{Answer: }\text{Distance traveled by steamboat}=20\text{ knots}\\\text{Distance traveled by yacht }=20+20=40\text{ knots}$

Step-by-step explanation:

Since we have given that

Time taken by steamboat makes the trip=5 hours

Time taken by yacht makes the trip =2.5 hours

Since we have also given that

the yacht is 20 knots faster than the steamboat,

So let the speed of steamboat be x

Let the speed of yacht be x+20

Now, we have given that both boats will travel the same distance ,

So,

$\text{Distance traveled by steamboat}=\text{ Distance traveled by yacht}\\\\x\times 5=(x+20)\times 2.5\\\\5x=2.5x+50\\\\5x-2.5x=50\\\\2.5x=50\\\\x=\frac{50}{2.5}\\\\x=20\text{ knots}$

Hence,

$\text{Distance traveled by steamboat}=20\text{ knots}\\\text{Distance traveled by yacht }=20+20=40\text{ knots}$

7 0

2 years ago

What are the zeros of the function f(x) = x2 + 8x + 4, expressed in simplest radical form?

Katyanochek1 [597]

Answer:

Step-by-step explanation:

assuming it is $x^{2} +8x+4$

Using Quadratic formular -

a - 1

b - 8

c - 4

$x= \frac{ -8 -,+ \sqrt{(8^2) - 4 (1)(4)}}{2(1)} \\\\$

$x = \frac{-8 +,- \sqrt{48} }{2}\\\\$

$x = \frac{-8+,- 4\sqrt{3} }{2}$

$x = {-4+,- 2\sqrt{3} }$

3 0

3 years ago

Read 2 more answers

The points in the table lie on a line. Find the slope of the line.<br><br><br><br> slope:

777dan777 [17]

Answer:

Using the table, the slope is 1/2

4 0

2 years ago