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3 years ago

Given f(x)=9+2x find f(3)

Mathematics

1 answer:

Alenkasestr [34]3 years ago

8 0

Answer:

15.

Step-by-step explanation:

f(x)=9+2x

x = 3, so f(3) = 9 + 2(3)

= 15.

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Solve the equation.

NARA [144]

d=-8 is the answer for first eqn

4 0

4 years ago

Read 2 more answers

A scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 35

Juliette [100K]

Answer:

<h2>After 5 hours</h2>

Step-by-step explanation:

If a scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour and the function y = 35 ∙ 3x models the number of bacteria after x hours, in order to estimate when there will be about 550 bacteria in the culture we will substitute y = 550 into the modeled equation and calculate the value of x as shown;

If y = 35*3x

when y = 550

550 = 35*3x

Dividing both sides by 35;

550/35 = 35*3x/35

3x = 550/35

x = 550/3*35

x = 550/105

x = 5.24

This means that there will be 550 bacteria in the culture after approximately 5 hours

3 0

3 years ago

Write the equation given the point 4,2 and slope 1/2

raketka [301]

Hello.

We have a point that the line passes through and its slope.

Let's write the equation in Point-Slope Form:

y-y₁=m(x-x₁)

In this case,

y₁=2

m= $\displaystyle\frac{1}{2}$

x₁=4

Plug in the values:

$\mathrm{y-2=\displaystyle\frac{1}{2} (x-4)}$

This is point-slope form. Now, what about Slope-Intercept?

First, we should distribute $\displaystyle\frac{1}{2}$ :

$\mathrm{y-2=\displaystyle\frac{1}{2} x-2}$

Add 2 to both sides:

$\mathrm{y=\displaystyle\frac{1}{2} x-2+2}$

Simplify:

$\mathrm{y=\displaystyle\frac{1}{2} x}$

I hope it helps.

Have a nice day.

$\boxed{imperturbability}$

3 0

2 years ago

Read 2 more answers

I need help please.

Ira Lisetskai [31]

Answer:

82.5 grams

Step-by-step explanation:

11*7.5=82.5

3 0

3 years ago

Caps hock Guess and Check (or use Algebra) to solve #3 & # 4 3. Plato has 36 coins in nickels, dimes, and quarters. The numb

Sedaia [141]

Answer:

Part 1:

Let the nickels be = n

Let the dimes be = d

Let the quarters be = q

Plato has 36 coins in nickels, dimes, and quarters. So, equation forms:

$n+d+q=36$ .....(1)

The number of nickels is three less than twice the number of dimes.

$n=2d-3$ ....(2)

The total value of the coins is $5.20.

$0.10d+0.05n+0.25q=5.20$ .... (3)

Substituting n=2d-3 in (1) and (3)

$2d-3+d+q=36$

=> $3d+q=39$ ....(4)

$0.10d+0.05(2d-3)+0.25q=5.20$

=> $0.10d+0.10d-0.15+0.25q=5.20$

=> $0.20d+0.25q=5.35$ ...(5)

Multiplying (4) by 0.25 and subtracting (5) from (4)

$0.75d+0.25q=9.75$ now subtracting (5) from this we get;

$0.55d=4.4$

=> d = 8

Substituting d = 8 in $3d+q=39$

$3(8)+q=39$

$24+q=39$

=> q = 15

Substituting values of d and q in $n+d+q=36$ , we get n

$n+8+15=36$

$n=36-23$

=> n = 13

Therefore Plato has 13 nickels, 15 quarters and 8 dimes.

-----------------------------------------------------------------------------------------

Part 2:

Let the original price of the ski hat be = x

Original price was marked down by 35% means value was lowered by 35%.

So, we can calculate as:

$x-\frac{35x}{100}=15.60$

=> $\frac{65x}{100}=15.60$

=> $65x=1560$

x = 24

Hence, the original price was $24 but after 35% marking down, it was available for $15.60.

5 0

3 years ago