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tia_tia [17]
3 years ago
8

What is f(-4) for the function f? f(x) = 2x + 3

Mathematics
2 answers:
geniusboy [140]3 years ago
8 0

Answer: f(-4) = -5

Step-by-step explanation: Here we're given the function

f(x) = 2x + 3 and we're asked to find f(-4).

In other words, if we put a x into our function, we get a 2x + 3 out.

So what happens when we put a -4 into the function?

Well if we put a -4 into the function, that's f(-4), we get a 2(-4) + 3 out.

Now all we have to do is simplify on the right side.

2(-4) is -8 so we have -8 + 3 which is -5.

So f(-4) is -5.

Kryger [21]3 years ago
3 0

Answer:

\Huge \boxed{{f(-4)=-5}}

Step-by-step explanation:

The function f(x) is given.

f(x) = 2x + 3

f(-4)

The input for the function f(x) is -4.

x is the input value.

x = -4

Replace x with -4.

f(-4) = 2(-4) + 3

Solve for the brackets.

f(-4) = -8 + 3

Evaluate.

f(-4) = -5

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Steve can jog 14 miles in 2 hours. At this rate, how many miles can he jog in 1/4 hour?
Assoli18 [71]

Answer:

1  3/4 miles in 1/4 hour.

Step-by-step explanation:

Write and solve an equation of ratios:

 x           (1/4) hr

--------- = ------------

14 mi       2 hr

Cross multiplying, we get 2x = (1/4)(14), or

                                              x = (1/4)(7), or x = 7/4

Steve can jog 7/4 miles in 1/4 hour.  That's 1  3/4 miles in 1/4 hour.

4 0
3 years ago
Read 2 more answers
The table represents the change in the boiling point of water at different altitudes. Altitude (in thousands of feet) Boiling Po
Anton [14]
Answers:

1) The dependent variable is the boiling point of water and the independent variable is the altitude.

2) The slope would represent the average decrease of the boiling point of water per every one thousand feet that the altitude increase.

Explanation:

1) given

Table:

<span>Altitude (in thousands of feet)    Boiling Point of Water (Fahrenheit)

(sea level) 0                                212
0.5                                               211.1
1.0                                               210
2.0                                               208.4
2.5                                               207.5
3.0                                               206.6
4.0                                               204.8
4.5                                               203.9

2) The independent variable is the input of the function, and the dependent variable is the output of the function.

The input determines the output once the rule is established.

Therefore:

a) the independent variable is the altitude, and
b) the dependent variable is the boiling point of water in Farenheit.

3) The slope of the graph would be:

                 change in the dependent variable          change in boiling point
slope = --------------------------------------------------- =  ---------------------------------
</span>                 change in the independent variable          change in altitude

Therefore, the slope represents the average change in the boiling boilin point of water every one thousand feet on change of altitude.

If the relationship is not linear, then the slope is not constant, and you will have different slopes for different parts.

If the slope is negative, means that as the altitude increase the boiling point of water decrease.

You can calculate the slope using any two pair of points (data)

              212 - 210           2
slope =---------------- =   ------- = - 2
                0 - 1            - 1

or, using other pair of points:

                204.8 - 210           -5.2             
slope = --------------------- =   --------- = -2.6
                  4.0 - 2.0               2.0

As you see, the slope is not constant. So, the function is not linear.
5 0
3 years ago
Read 2 more answers
A population of a particular yeast cell develops with a constant relative growth rate of 0.4225 per hour. The initial population
Ksju [112]

Answer: The population after 3 hours is 13.9 mill.

Step-by-step explanation:

When we have an exponential with:

A  = initial population.

r = constant relative growth rate:

t = time.

The function that models this is:

P(t) = A*e^(k*t)

In this case we know that:

A = 3.9 mill.

r = 0.4225 1.

Then the function that models the population of this yeast cell is:

P(t) = (3.9 mill)*e^(0.4225*t)

where t represents the time in hours.

Then if we want to know the population after 3 hours, we should replace t by 3.

P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.

And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.

The population after 3 hours is 13.9 mill.

8 0
3 years ago
Please help I got the answer wrong-
puteri [66]

Answer:

x {}^{2}  = 150

Step-by-step explanation:

What I did was

5 \times 5 = 25

then I did

5 \times 5 = 25 \times 5 = 150

and I'm hoping 150 is the answer. HOPE THIS HELPED

8 0
3 years ago
Tracy McKinney is a disc jockey at radio station WMMM. Her annual salary is $52,750. What is her monthly salary?
attashe74 [19]
Okay, so since her annual salary is <span>$52,750 (the amount she gets a year, all twelve months combined) you're trying to find how much she gets monthly. That would mean we would have to divide her annual salary by 12 to find her monthly salary.

</span>$52,750 ÷ 12 = 4,395.8333333333333
<span>
And since that's a (bothersome) repeating decimal, we're going to have to round it. Once rounded, you would get $</span>4,395.83. That is her monthly salary.
5 0
3 years ago
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