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3 years ago

F(x) = -22 – 4x Find f(-1)

Mathematics

2 answers:

LUCKY_DIMON [66]3 years ago

3 0

= -22-4(-1)
= -22+4
= -18

igor_vitrenko [27]3 years ago

3 0

Answer:

f(-1) = -18

Step-by-step explanation:

You just plug in -1 for x in the equation

f(x) = -22-4x

f(-1)=-22-4(-1)

f(-1)= -22+4

f(-1)=-18

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3 years ago

A satellite is composed of 30 modular units, each of which is equipped with a set of sensors, some of which have been upgraded.

Anit [1.1K]

Answer:

$\frac{1}{7}$

Step-by-step explanation:

The satellite has 30 modular units.

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Then as per the given condition, there are $\frac{x}{5}$ number of non-upgraded sensors in one unit.

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3 years ago

The length of a rectangle is five times its width.

grandymaker [24]

Answer:

length =30m width=6m

hope it helps

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3 years ago

Hello I would really appreciate if someone could help me with this math question. I’m so confused

Katarina [22]

Answer:

a. f = 17.5/c

b. 8.75 N

Step-by-step explanation:

Inverse variation means one variable is proportional to the inverse of the other. The equation for that is ...

f = k(1/c) . . . . . . force (f) is proportional to the inverse of distance (c)

We find the value of k using data given for a specific instance.

3.5 N = k(1/(5 cm)) . . . . use the given values

17.5 N·cm = k . . . . . . multiply by the denominator

Then the equation of interest is ...

f = 17.5/c . . . . . . . where c is in cm, and f is in newtons

Using the above equation, we find the force to be ...

f = 17.5/2 = 8.75 . . . . newtons

_____

<em>Additional comment</em>

We often look at several different kinds of proportionality:

y = kx . . . . direct
y = k(1/x) . . . . inverse
y = kx² . . . . proportional as the square
y = kx·z . . . . jointly proportional to x and z

and there are combinations of these, such as ...

y = kr²h . . . . jointly proportional to h and the square of r

You may have noticed that when x and y are inversely proportional, their product is a constant. y = k/x ⇒ xy = k

We have left off the units of k in the problem above. Sometimes it is a good idea to retain them, or to pay close attention to what they are. This can avoid using the wrong measures for the variables.

f = (17.5 N·cm)/(2 cm) = 8.75 N . . . . . units of cm cancel

4 0

2 years ago

A rectangular banner has a length that is two feet shorter than twice its height, ℎ. If the expression ℎ(2ℎ−2) represents the ar

densk [106]

Answer:

h = 6

Step-by-step explanation:

Given he area of the banner expressed as;

A = ℎ(2ℎ−2)

h is the height of the banner

A is the area = 60

Substitute

60 = ℎ(2ℎ−2)

60 = 2h² - 2h

30 = h² - h

h²-h-30 = 0

Factorize;

h²-6h+5h-30 = 0

h(h-6)+5(h-6) = 0

(h-6)(h+5) = 0

h - 6 = 0 and h+5 = 0

h = 6 and -5

Since the height cannot be negative;

h = 6

Hence he height of the banner is 6

3 0

3 years ago