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3 years ago

Find f(-5) if f(x) = 5x + 11.

Mathematics

2 answers:

Natalija [7]3 years ago

8 0

Answer:

f(-5) = -14

Step-by-step explanation:

We can solve the equation for x = -5 by replacing the x in the equation with -5

f(-5) = 5(-5) + 11

f(-5) = -25 + 11

f(-5) = -14

svp [43]3 years ago

4 0

Answer:

-14

Step-by-step explanation:

You might be interested in

Why is it important to look at more than the first two numbers of a pattern to decide the rule for the pattern?

Alexxandr [17]

Answer:

This is important because, the first few numbers might seem to follow a pattern but subsequent numbers might reveal a change in the rule.

Step-by-step explanation:

When studying patterns it is important to evaluate all the figures holistically instead of drawing conclusions based on just the first few numbers because there might be a change in what we felt was obvious on close observance of all the numbers. For example, observe the pattern;

2,4,6, 10, 14, 18, 20, 22, 24

The first two numbers show the addition of two. If a person decides to add 2 to all the figures, he would be wrong because after the first three figures, he would have to add 4 to the numbers.

8 0

2 years ago

A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first r

Kryger [21]

The probability of occurrence for the events A, B and C is; 1/4.

<h3>What is the probability of occurrence of.the described events?</h3>

For the first event A in which case, there's no odd number on the first two rolls, the possible events are; EEE and EEO. Consequently, the required probability is;

Event A = 2/8 = 1/4.

For the event B in which case, there's an even number on both the first and last rolls; the possible events are; EEE and EOE. Consequently, the required probability is;

Event B = 2/8 = 1/4.

For the event C in which case, there's an odd number on each of the first two rolls; the possible events are; OOO and OOE. Consequently, the required probability is;

Event C = 2/8 = 1/4.

Read more on probability;

brainly.com/question/251701

#SPJ1

7 0

2 years ago

PLS HELP <br> If r = 3s + 1 and t = s - 4, what is r in terms of t?

kirill [66]

R = 3(t+4) + 1
Hope it helps

7 0

3 years ago

A mass of 5 kg stretches a spring 10 cm. The mass is acted on by an external force of 10sin( t ) N(newtons) and moves in a mediu

yKpoI14uk [10]

Answer:

A) C1 = 0.00187 m = 0.187 cm, C2 = 0.0062 m = 0.62 cm

B) A sample of how the graph looks like is attached below ( periodic sine wave )

C) w = $\sqrt[4]{3}$ is when the amplitude of the forced response is maximum

Step-by-step explanation:

Given data :

mass = 5kg

length of spring = 10 cm = 0.1 m

f(t) = 10sin(t) N

viscous force = 2 N

speed of mass = 4 cm/s = 0.04 m/s

initial velocity = 3 cm/s = 0.03 m/s

Formulating initial value problem

y = viscous force / speed = 2 N / 0.04 m/s = 50 N sec/m

spring constant = mg/ Length of spring = (5 * 9.8) / 0.1 = 490 N/m

f(t) = 10sin(t/2) N

using the initial conditions of u(0) = 0 m and u"(0) = 0.03 m/s to express the equation of motion

the equation of motion = 5u" + 50u' + 490u = 10sin(t/2)

A) finding the solution of the initial value

attached below is the solution and

B) attached is a periodic sine wave replica of how the grapgh of the steady state solution looks like

C attached below

3 0

3 years ago

1. PLEASE HELP. Consider the matrices-

Alex

Answer:

A - B = [ -1 3 ]

[ -6 2 ]

[ -4 -10 ]

Step-by-step explanation:

Since Matrix A and Matrix B have the same size, then we can simply perform the operation of subtraction on each position within the matrices to get the resulting subtracted matrix.

A = [ 4 7 ] B = [ 5 4 ]

[ -3 8 ] [ 3 6 ]

[ -5 -2 ] [ -1 8 ]

A - B = [ (4 - 5) (7 - 4) ]

[ (-3 - 3) (8 - 6) ]

[ (-5 - -1) (-2 - 8) ]

A - B = [ -1 3 ]

[ -6 2 ]

[ -4 -10 ]

Cheers.

8 0

3 years ago