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3 years ago

Which function has a range of y < 3? y=3(2)* y=2(3) y=-(2)+ 3 O y=(2]_3

Mathematics

1 answer:

jasenka [17]3 years ago

7 0

Answer:

The function given by $y = - (2)^{x} + 3$ will have a range of y < 3.

Step-by-step explanation:

The function given by $y = - (2)^{x} + 3$ will have a range of y < 3.

This is because, for any real values of x, the term $- (2)^{x}$ will have a negative value. If we put x = 1, then, $- (2)^{x}$ = - 2, and for x = -1, then $- (2)^{x}$ = - 0.5.

That means $- (2)^{x} < 0$ for all real x.

Hence, $- (2)^{x} + 3$ < 0 + 3

⇒ y < 3 for all real x. (Answer)

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Your team wins 18 medals at a competition. The metals are gold, silver, and bronze in a ratio of 2:4:3. How many of each metal d

Anarel [89]

Answer

Find out the how many of each metal did your team win.

To prove

As given

Your team wins 18 medals at a competition.

The metals are gold, silver, and bronze in a ratio of 2:4:3.

Let us assume that x be the scalar multiple of the gold, silver and bronze medal.

Thus

Number of gold medal = 2x

Number of silver medal = 4x

Number of bronze medal = 3x

Than the equation becomes

2x + 4x + 3x = 18

9x = 18

$x = \frac{18}{9}$

x = 2

Number of gold medal = 2 × 2

= 4

Number of silver medal = 4 × 2

= 8

Number of bronze medal = 3 × 2

= 6

Therefore the number of gold medal are 4, silver medal are 8, bronze medal are 6.

3 0

3 years ago

What is 5+2? Ive been totally stuck on this for the longest time. I really need help

eduard

that's a tricky one!

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2 years ago

Suppose Sally has $28.00 in her bank account and starts saving $18.25 every week. Her friend Suzy has $161.00 in her bank accoun

Elza [17]

Sally has $28.00 in her bank account and starts saving $18.25 every week.

Let x represent the number of weeks from when he have $28.00 in her account.

and y represent the amount in her account at week x;

We can write the function of the case as;

$y=mx+b$

where m is the amount she saves every week, and b the initial amount in her account.

$\begin{gathered} m=\text{ \$18.25} \\ b=\text{ \$28.00} \end{gathered}$

So, the function will be;

$y=18.25x+28$

Her friend Suzy has $161.00 in her bank account and is withdrawing $15 every week.

Using the same rule as in a above;

$\begin{gathered} m=-15\text{ (withdrawing is negative)} \\ b=161 \end{gathered}$

The function will be;

$y=-15x+161$

The graph of the two functions is shown below;

The point where the two lines intersect is shown in the graph above.

The point is at;

$(4,101)$

Which is at week 4 and balance $101.

The point at which they intersect is the point where they both have the same values.

It is the week when both Sally and Suzy have the same amount in there account.

So, at the fourth week (week 4) Sally and Suzy both have $101 in their account

3 0

1 year ago

X+7+=-14<br><br> ASAP! PLease!

umka21 [38]

Hey there!

Answer = -21

Explanation:

Let's solve your equation step-by-step.

x + 7 = -14

Subtract seven from both sides:

x + 7 - 7 = -14 - 7

x = -21

So therefore, that is how you found your answer: x = -21

8 0

3 years ago

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Pregunta 4 (1 punto)

Yuliya22 [10]

Answer:

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3 years ago

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Which function has a range of y < 3? y=3(2)* y=2(3) y=-(2)*+ 3 O y=(2]*_3

Which function has a range of y < 3? y=3(2)* y=2(3) y=-(2)+ 3 O y=(2]_3