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2 years ago

Consider the function f(x) = 4x² - x + 3. What is f(1)?

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

3 0

Replace every x you see in the function with 1 and simplify.

Let x be 1.

f(1) = 4(1)^2 -(1) + 3

f(1) = 4(1) - 1 + 3

f(1) = 4 - 1 + 3

f(1) = 3 + 3

f(1) = 6

Done!

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Is this a function or no?

IgorLugansk [536]

Answer:

Step-by-step explanation:

Positives cannot point at negatives I think.

5 0

2 years ago

At the newest animated movie, for every 9 children, there are 4 adults. There are a total of 39 children and adults at the movie

WARRIOR [948]

For every 9 children, there are 4 adults.
If there are 39 children and adults, we can work backwards to find the answer.

Lets start by multiplying 9. Lets do 3. 9 x 3 = 27.
Ok, now we have an estimate of 27 Children, now all we have to do is multiply the number of adults by 3.
Now we can multiply 4 x 3. 4 x 3 = 12. Now we have the number of children and adults.
Now lets add these together. 12 + 27 = 39! Perfect! Now we know that there are 27 children, and 12 adults.

Hope this helps!!

8 0

2 years ago

Need help with linear approximation

Dmitrij [34]

Consider a function f(x), the linear approximation L(x) of f(x) is given by

$L(x)=f(a)+(x-a)f'(a)$

Given the quantity: $\frac{1}{203}$

We approximate the quantity using the function $f(x)= \frac{1}{x}$ , where x = 203.

We choose a = 200, thus the linear approximation is given as follows:

$L(203)=f(200)+(203-200)f'(200) \\ \\ = \frac{1}{200} - \frac{3}{200^2} = \frac{200-3}{200^2} = \frac{197}{40,000} =0.004925$

5 0

2 years ago

A line goes through the point (6,–2) and has a slope of –3. What is the value of a if the point (a,7) lies on the line? A =

Sati [7]

Answer:

Step-by-step explanation:

Y = mx + b

slope(m) = 3/4

(3,7)...x = 3 and y = 7

now we sub...we r looking for b, the y int

7 = 3/4(3) + b

7 = 9/4 + b

7 - 9/4 = b

28/4 - 9/4 = b

19/4 = b

equation is : y = 3/4x + 19/4...lets put this in standard form

y = 3/4x + 19/4

-3/4x + y = 19/4...multiply by -4

3x - 4y = -19 <== standard form

if (x,5) is on the line

3x - 4y = -19.....sub in 5 for y

3x - 4(5) = -19

3x - 20 = -19

3x = -19 + 20

3x = 1

x = 1/3 <====so point a = (1/3,5)

4 0

3 years ago

Read 2 more answers

Consider the polynomial p(x)=8x3+12x2+2x+3.

Ivahew [28]

A: $(4x^2+1)(2x+3)$

B: grouping

Step-by-step explanation:

We are given the polynomial: $p(x)=8x^3+12x^2+2x+3$

Part A: What is the correct factorization of $p(x)=8x^3+12x^2+2x+3$ over the integers?

We need to factorize the term $p(x)=8x^3+12x^2+2x+3$

Factorizing by grouping:

$p(x)=8x^3+12x^2+2x+3$

$p(x)=(8x^3+12x^2)+(2x+3)$

$p(x)=4x^2(2x+3)+1(2x+3)$

$p(x)=(4x^2+1)(2x+3)$

So, factors of the term $p(x)=8x^3+12x^2+2x+3$ are $p(x)=(4x^2+1)(2x+3)$

Part B: What method is used to factor p(x)=8x3+12x2+2x+3?

The method used to factor the given polynomial is grouping.

We group the terms and then find the common terms in that specific group

So, the answers are:

A: $(4x^2+1)(2x+3)$

B: grouping

Keywords: Finding Factors

Learn more about finding factors at:

#learnwithBrainly

3 0

3 years ago