If ƒ(x) = 4x – 11, what is the value of ƒ(5)? A. 20x

Car = V-8 sedan Years driven = first through third Miles driven = 14,000 miles each year In dollars and cents, the total project

saveliy_v [14]

Answer:

609

Step-by-step explanation:

5 0

3 years ago

Find k if (x+1) 2x^3+kx^2+1

Viktor [21]

<h2>Question:</h2>

Find k if (x+1) is a factor of 2x³ + kx² + 1

<h2>Answer:</h2>

k = 1

<h2>Step-by-step explanation:</h2>

The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.

<em>This is because;</em>

i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.

ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e

=> (-3)² - 9

=> (9) - 9 = 0

Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.

<em><u>From the question</u></em>

Given polynomial: 2x³ + kx² + 1

Given factor: x + 1.

Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e

2(-1)³ + k(-1)² + 1 = 0

2(-1) + k(1) + 1 = 0

-2 + k + 1 = 0

k - 1 = 0

k = 1

Therefore the value of k is 1.

3 0

2 years ago

Will give brainliest, will give 25 points

saveliy_v [14]

$54x = 54$

$x = \frac{54}{54}$

$x = 1$

Fo you want multiple thanks???

5 0

3 years ago

Lin and Han's families provide money for their school lunch

Julli [10]

Answer:

1) after 4 weeks, Lin has more with $65

2) after 3 weeks they both have same amount

Step-by-step explanation:

let 'w' = number of weeks

1) <u>equation for Han</u>: y = 100 - 15w

y = 100 - 15(4)

y = 100 - 60

y = $40 after 4 weeks

<u>equation for Linn</u>: y = 25 + 10w

y = 25 + 10(4)

y = 25 + 40

y = $65 after 4 weeks

2) 100 - 15w = 25 + 10w

75 - 15w = 10w

75 = 25w

w = 3 weeks

8 0

3 years ago

Uninhibited growth can be modeled by exponential functions other than A(t) =Upper A 0 e Superscript kt. For example, if an i

laila [671]

The question is incomplete. Here is the complete question.

Uninhibited growth can be modeled by exponential functions other than $A(t)=A_{0}e^{kt}$ . for example, if an initial population P₀ requires n units of time to triple, then the function $P(t)=P_{0}(3)^{\frac{t}{n} }$ models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.

a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form $P(t)=P_{0}(3)^{\frac{t}{n} }$ that models the population.

b) What will the population be in 47 days?

c) When wil the population reach 750?

d) Express the model from part (a) in the form $A(t)=A_{0}e^{kt}$ .

Answer: a) $P(t)=50(3)^{\frac{t}{30} }$