All categories

2 years ago

2. Let f(x) = 3x² -x+5, find f(x+1)

Mathematics

1 answer:

Anna11 [10]2 years ago

8 0

Answer:

f(x + 1) = 3x² + 5x + 7

Step-by-step explanation:

To find f(x + 1), substitute x = x + 1 into f(x), that is

f(x + 1) = 3(x + 1)² - (x + 1) + 5 ← expand (x + 1)² using FOIL

= 3(x² + 2x + 1) - x - 1 + 5 ← distribute parenthesis by 3

= 3x² + 6x + 3 - x - 1 + 5 ← collect like terms

= 3x² + 5x + 7

You might be interested in

(a) Find a vector-parametric equation r⃗ 1(t)=⟨x(t),y(t),z(t)⟩r→1(t)=⟨x(t),y(t),z(t)⟩ for the shadow of the circular cylinder x2

motikmotik

Answer: (a) r1(t) = <2cost , 0 , 2sint>

(b) <2cost , (1 - 12sint - 10cost)/8 , 2sint>

Step-by-step explanation:

x2+z2=4

Now, in the xz plane, we know that y = 0...

So, x^2 + z^2 = 4 will simply be a circle centered at (0,0)..

This can be easily parameterized as

x = 2cos(t)

z = 2sin(t)

So, the required parameterization is :

r1(t) = <2cost , 0 , 2sint>

Cylinder : x^2 + z^2 = 4

Plane : 5x+8y+6z=1

Easily enough, the x^2 + z^2 = 4 can again be parameterized as

x = 2cost , z = 2sint

With this, we can find y using plane equation...

5x+8y+6z=1

5(2cost) + 8y + 6(2sint) = 1

8y = 1 - 12sint - 10cost

y = (1 - 12sint - 10cost)/8

So, the parameterization is :

<2cost , (1 - 12sint - 10cost)/8 , 2sint>

6 0

2 years ago

Giuseppe is studying shark attacks around the world and finds that most such attacks occur during the day. He concludes that sha

HACTEHA [7]

Answer:

C) not justified, since people usually swim in the ocean during the day.

5 0

2 years ago

An insurance adjuster processes the claims of six policy holders in an eight hour work day. The adjuster uses $5 in gasoline and

Bad White [126]

Answer:

Step-by-step explanation:

Labor productivity is is measured per hours.

Hence, the work he does [amount of claims] will be distributed amongst the amount of hours he works. The amount of dollar he uses <em>doesn't matter for labor productivity.</em>

<em />

Thus, his work is 6 claims. He does that is 8 hours. So claim/hr is:

6/8 = 0.75 claims per hour

Answer choice D is right.

6 0

2 years ago

A and B will take the same 10-question examination. Each question will be answered correctly by A with probability .7, independe

MatroZZZ [7]

Answer:

a) The expected number of questions that are answered correctly by both A and B = 11 (7 + 4).

b) The Variance of the number of questions that are answered correctly by either A or B = 2.25.

Step-by-step explanation:

Number of questions in the examination = 10

Probability of A's answer being correct = 0.7

Probability of B's answer being correct = 0.4

The expected number of questions that are answered correctly by both A and B:

Probability of Expected

Correct Answer Value Variance

A 0.7 7 (0.7 * 10) 2.25

B 0.4 4 (0.4 * 10) 2.25

Total expected value = 11

Mean = 5.5 2.25

5 0

2 years ago

A rock climber is climbing up a 450 feet high

zhuklara [117]

It would be 2 O'clock. Have a great day!!

6 0

2 years ago

2. Let f(x) = 3x² -x+5, find f(x+1)​

2. Let f(x) = 3x² -x+5, find f(x+1)