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3 years ago

I need help please thank u sm

Mathematics

1 answer:

gavmur [86]3 years ago

8 0

K= 8. If you look at the pattern each x value is multiplied by 8 to give you the y value. You could also solve it by:

40=k5
40/5=k
8=k

you could do this with any of the x or y values and still end up with 8.

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What is the leading coefficient of the following expression: 5x^4-7x^3+2x+1

never [62]

Answer:

Step-by-step explanation:

The leading coefficient belongs to the term with the largest exponent

Given

5 $x^{4}$ - 7x³ + 2x + 1 ← in standard form

The leading term is 5 $x^{4}$ ← with leading coefficient 5

5 0

3 years ago

Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use th

Doss [256]

Split up the interval [0, 8] into 4 equally spaced subintervals:

[0, 2], [2, 4], [4, 6], [6, 8]

Take the right endpoints, which form the arithmetic sequence

$r_i=2+\dfrac{8-0}4(i-1)=2i$

where 1 ≤ <em>i</em> ≤ 4.

Find the values of the function at these endpoints:

$f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i$

The area is given approximately by the Riemann sum,

$\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i$

where $\Delta x_i=\frac{8-0}4=2$ ; so the area is approximately

$\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}$

where we use the formulas,

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

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3 years ago

In the expression 2x + 8y -4 ,what is the constant

olasank [31]

Answer: The constant is -4 cause it will never change from x or y value.

Step-by-step explanation:

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3 years ago

Justin started eating lunch at 12:23 and finish at 12:45. how much elapsed time while he was eating lunch

ValentinkaMS [17]

Answer:

22 minutes

Step-by-step explanation:

12:45- 12:23

= 22 minutes

4 0

3 years ago

The numbers 1-10 are written on note cards and placed in a bag. One card will be drawn from the bag at random..

marusya05 [52]

Answer:

Sample space: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Yes, both have 50% probability

No, first event has 30% probability and second one has 20% probability

Step-by-step explanation:

As we have a total of 10 note cards, each if a number from 1 to 10 (each card with a different number) and we want to draw one card at random, the sample space is each of the 10 numbers in the note (sample space with 10 elements):

1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

From this 10 numbers, we have a total of 5 odd numbers and 5 even numbers, so the events of selecting an even number and selecting an odd number are equally likely (the probability of both events are 5/10 = 50%)

The numbers from the sample space divisible by 3 are:

3, 6, 9 (so a total of 3 elements, probability of 3/10 = 30%)

The numbers from the sample space divisible by 5 are:

5, 10 (so a total of 2 elements, probability of 2/10 = 20%)

As the probabilities are different, these events are not equally likely

6 0

3 years ago