Consider the table of values and the equation, which both represent a function,
Which function has the greater rate of change?

And could you explain how you found the answer?

Answer:

g(x) = x+5

Step-by-step explanation:

Given that,

[tex]f(x)=x^4+5x^3-3x-15[/tex]

[tex]q(x) = (x^3-3)[/tex]

We need to find the polynomial. We know that, Euclid division lemma states that

[tex]f(x)=q(x)\times g(x)+r(x)[/tex]

Where

f(x) is dividend

g(x) is the poynomial

q(x) is quotient

r(x) is remainder

So,

[tex]x^4+5x^3-3x-15=(x^3-3)\times g(x) +0\\\\g(x)=\dfrac{x^4+5x^3-3x-15}{(x^3-3)}\\\\g(x)=x+5[/tex]

So, the polynomial is (x+5).

Answer: its C

Step-by-step explanation: i just took the test

Answer:

just interest = 251,550. Plus loan = 446,550

Step-by-step explanation:

195,000 x 0.043(interest as a decimal) = 8385 per year.

8385 x 30(years) = 251,550

The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.

Compound interest is applicable when there will be a change in principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

Given that

the principle amount of $195000

The rate of interest is 4.3%

Time period 30 years.

By compound interest formula

A = P × [tex](1 + 0.00r)^{n}[/tex]

where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.

A = $195000[tex](1 + 0.043)^{30}[/tex]

A = $689546.985

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By reading off the graph as shown in the question, we can see that the time that is required is 20 minutes.

The half life is the time that it taken for only half or 50% of the isotopes that were originally present in the sample to remain. We know that the half life does differ by the kind of sample that is used.

In this case, we want to determine  how long does it take a sample of francium-223 to decay by 50%. This could easily be done from the graph of the decay as shown in the question.

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Answer:

Radius = r

Diameter = 2r

Circumference = 2πr

Area = πr²

a diameter of a circle is a line drawn through the center of a circle.

Answer: I- 81 pints,  II-9 pints

Step-by-step explanation:

Given

The first type of juice has 30% pure Juice

The second type of juice has 80% pure Juice

The final mixture has 95 pints of 35% pure juice

Suppose we take x pints from the first Juice

So, the second Juice contributes 90-x

for 35% content

[tex]\Rightarrow 35=\dfrac{x\times 30+(90-x)80}{90}\\\\\Rightarrow 3150=30x+7200-80x\\\\\Rightarrow 50x=4050\\\Rightarrow x=81\ \text{pints}[/tex]

First contributes 81 pints. second contributes 9 pints

Answer:

1. -34

Step-by-step explanation:

Answer:

-3a^2 - 6a - 10

Step-by-step explanation:

You are subtracting 10a^2 + 6a + 2 from 7a^2 - 8.

You can set it up like the problem shows you, and subtract each term in the second line form a like term in the top line.

         7a^2            -8

(-)      10a^2 + 6a + 2

-----------------------------

        -3a^2 - 6a - 10

Answer:  -3a^2 - 6a - 10

Answer:

$97,894.33.

Step-by-step explanation

Answer:

soln,

3/5+7/8+3/10

3×8/5×8+7×5/8×5+3×4/10×4

24/40+35/40+12/40

24+35+12/40

71/40

Answer:

The positive predictive value ≈ 30.012%

Step-by-step explanation:

(a) The given percentage of the people in the region that have the disease, P(D) = 6% = 0.06

The percentage people correctly identified as having the disease by the standard diagnostic test = 91%

The percentage of people incorrectly identified as having the disease by the standard diagnostic test, P(T + |H) = 8%

Therefore, the sensitivity of the test, P(T + |D) = 0.91

The specificity of the test, P(T - |H) = 1 - 0.08 = 0.92

Therefore, the probability that a person is healthy, P(H) = 1 - 0.06 = 0.94

Therefore, in a population of 1,000 people, 60 people have the disease, with a sensitivity of 91%, the test will correctly pic 0.91×66 = 60.06 people correctly with the disease and 0.91 × 940 = 855.4 people without the disease

The number of non-diseased that test positive by the test is 0.08 × 1000 = 80 people which are false positives

Therefore, the number of diseased diagnosed as negative is 0.08 × 60 = 4.8

Therefore, we have;

[tex]\begin{array}{cccc}&Deseased&Non-diseased& Diseased + Non-diseased\\Test \ +ve&60.06&80& 140.06\\Test \ -ve&4.8&855.4&\end{array}[/tex]

The positive predictive value = Diseased +ve/(Diseased +ve + Non-diseased  +ve)

[tex]The \ positive \ predictive \ value = \dfrac{Diseased +ve}{Diseased +ve + Non-diseased +ve} \times 100[/tex]

Therefore;

The positive predictive value = 60.06/(60.06 + 140.06) × 100 ≈ 30.012%

Answer:

P = P (1 + r / n) ^ rt

Step-by-step explanation:

Answer:

I completely forgot how to do this I'm sorry

Step-by-step explanation:

Answer:

about 5.99 or D. 6 cm

Step-by-step explanation:

you can use this formula

[tex]V=4/3 * \pi *r^{3}[/tex]

Answer:

the answer is 1-1, 1-2, 1-3, 1-4

Step-by-step explanation:

Answer:

37 yards

Step-by-step explanation:

Given data

Distance from house to the library= 18 yards

Distance from  the library to the post office= 288 feet

Total distance in yards, first let us have all units to yards

288ft to yard= 96 yards

Hence the total distance in yards is

=18+19

=37 yards

Answer:

75 meters²

Step-by-step explanation:

4 cm= 5 m

12 cm= 15 m

15×5=75

Area of Patio=75 m²

Answer: 60% would like another color

Step-by-step explanation:

Answer:

I think the answer is A 64cm cubed

Answer:

I D K

Step-by-step explanation:

Answer:

-22/7

Step-by-step explanation:

To divide fractions, we multiply by the reciprocal:

(6/-7)/(3/11)

(6/-7)(11/3)

66/-21

22/-7

-22/7

Therefore, your simplifed answer is -22/7

Answer:

36/49

Step-by-step explanation:

108/49/3

=108/147

=36/49

Answer: answer is D

Step-by-step explanation:

because science is more important than life

Answer:

$9,393.78

Step-by-step explanation:

Using the equation:

A = P(1+r)^t

Where,

A = final amount

P = initial amount = $6,600

r = rate of increase = 4% = 0.04

t = time in years = 9 years (2012-2021)

A = 6,600(1 + 0.04)^9

= 6,600(1.04)^9

= 6,600(1.4233)

= 9,393.78

A = $9,393.78

Answer:

30

Step-by-step explanation:

Angles on a straight line are equal to 180°

180°-120°= 60°

Sum of Co interior angles are equal to 180°

180°-60° =120°

90°+60°+ x = 180°

((180° - 90° - 60°= 30°))

Answer:

13

Step-by-step explanation:

25 - 12 = 13

Answer:

13

Step-by-step explanation:

12 + 13 = 25 or 25 -12 = 13

Answer:

The answer is D

Step-by-step explanation:

They are using 135 times the weeks, but the car already had 100 miles on it to start.  Juan buys a car that has 40 miles originally on it and he drives it 150 miles per week. So, the word problem is D

Answer:

numerator divided by denominator

Step-by-step explanation: