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1 year ago

PLS HELPPPP MEEEE I NEED WORK SHOWN TOO

Mathematics

1 answer:

Elanso [62]1 year ago

7 0

The series of operations for each case are listed below:

GCF / GCF / GCF
GCF / Grouping
Quadratic trinomial
GCF / Quadratic trinomial
Difference of squares
Difference of cubes / Quadratic trinomial
Sum of cubes
GCF / Quadratic trinomial
GCF / Difference of squares

<h3>How to applying factor properties to simplify algebraic expressions</h3>

In algebra, factor properties are commonly used to solve certain forms of polynomials in a quick and efficient way and whose effectiveness is sustained on all definitions and theorems known in real algebra. In this problem, we should explain and show what factor properties are used in each case:

Case 1

5 · x · y³ + 10 · x² · y Given

5 · (x · y³ + 2 · x² · y) GCF

5 · x · (y³ + 2 · x · y) GCF

5 · x · y · (y² + 2 · x) GCF

Case 2

6 · z · x + 9 · x + 14 · z + 21 Given

3 · x · (z + 3) + 7 · (z + 3) GCF

(3 · x + 7) · (z + 3) Grouping

Case 3

a² + 2 · a - 63 Given

(a + 9) · (a - 7) Quadratic trinomial

Case 4

6 · z² + 5 · z - 4 Given

6 · [z² + (5 / 6) · z - 2 / 3] GCF

6 · (z - 1 / 2) · (z + 4 / 3) Quadratic trinomial

Case 5

81 · m² - 25 Given

(9 · m + 5) · (9 · m - 5) Difference of squares

Case 6

8 · x³ - 27 Given

(2 · x - 3) · (4 · x² + 6 · x + 9) Difference of cubes

4 · (2 · x - 3) · [x² + (3 / 2) · x + 9 / 4] Quadratic trinomial

Case 7

27 · b³ + 64 · z³ Given

(3 · b + 4 · z) · (9 · b² - 12 · b · z + 16 · z²) Sum of cubes

Case 8

2 · w³ - 28 · w² + 80 · w Given

2 · w · (w² - 14 · w + 40) GCF

2 · w · (w - 4) · (w - 10) Quadratic trinomial

Case 9

200 · a⁴ - 18 · b⁶ Given

2 · (100 · a⁴ - 9 · b⁶) GCF

2 · (10 · a² + 3 · b³) · (10 · a² - 3 · b³) Difference of squares

To learn more on polynomials: brainly.com/question/17822016

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Find (g o f)(-1). *

klio [65]

Answer:

D -9

Step-by-step explanation:

(g o f)(-1) = g(f(-1))

f(-1) = $f(-1) = (-1)^{2} + 2(-1) - 3\\= 1 - 2 - 3\\= -4$

g(-4) = -4 - 5 = -9

So, (g o f)(-1) = -9

6 0

3 years ago

Jill is shopping at a department store that is having a sale this week. The store has advertised 15% off certain merchandise. Ji

Phantasy [73]

Answer:

The simpler way is:

SP = 0.85*RP

Step-by-step explanation:

Suppose that we have a given amount A. and now we take a given percentage, X%, off.

The new amount will be:

New amount = A - (X%/100%)*A = A*(1 - X%/100%)

This is the general formula.

In this case, we know that the store has advertised 15% off, then we have X% = 15%

Then if:

SP = sales price

RP = regular price

We will have the equation:

SP = RP - (15%/100%)*RP = RP - 0.15*RP

This is what Jill found, but if we use the general equation above, we will find that:

SP = RP*(1 - 15%/100%) = RP*(1 - 0.15) = RP*0.85

So we just need to multiply the regular price by 0.85 to get the sales price.

6 0

3 years ago

Read 2 more answers

The Statistical Abstract of the United States published by the U.S. Census Bureau reports that the average annual consumption of

Karo-lina-s [1.5K]

Answer:

a) $P(\bar X$

b) $P(98$

c) $P(\bar X$

d) $P(93$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(99.9,30)$

Where $\mu=99.9$ and $\sigma=30$

We select a random sample of n=36. And from the central limit theorem we know that the distribution for the sample is given by:

$\bar X \sim N(\mu =99.9 , \frac{\sigma}{\sqrt{n}}= \frac{30}{\sqrt{38}}=4.87)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we apply this formula to our probability we got this:

$P(\bar X$

$=P(Z$

Part b

For this case we want this probability:

$P(98$

$=P(\frac{98-99.9}{\frac{30}{\sqrt{38}}}$

And we can find this probability on this way:

$P(-0.39$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-0.39$

Part c

If we apply this formula to our probability we got this:

$P(\bar X$

Part d

For this case we want this probability:

$P(93$

$=P(\frac{93-99.9}{\frac{30}{\sqrt{38}}}$

And we can find this probability on this way:

$P(-1.42$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-1.42$

3 0

3 years ago

I dont know how to do this,can someone please help me?

MakcuM [25]

So this problem is asking you to plug numbers in for t. 0 1 2 3 4 5. So your first equation would be 2× 0+8 and you would get 8 so for 0 toppings you would pay 8 dollars then graph this over 0 up 8. Next equation 2×1+8 is 10. Graph. over 1 up 10. Next 2×2+8 is 12. Graph. Over 2 up 12. next 2× 3 + 8 is 14. Graph. Over 3 up 14. Next 2×4+8 is 16 so over 4 up 16. Last 2×5+8 is 18 so over 5 up 18. Your Y-intercept is the dot that is on the y axis and in this problem that is 8. This means if you buy 0 toppings you will spend 8 dollars.

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3 years ago

You live on a triangular piece of land with a base of 121 yards and a height of 80 yards. One acre of land is equal to 4840 squa

lesya [120]

Answer:wsg bear

Step-by-step explanation:

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3 years ago