MATHEMATICS MIDDLE SCHOOL

Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping?Which shows one way to determine the factors of x3 + 11x2 – 3x – 33 by grouping?

Answers

Answer 1

Answer:

Answer:

1). (x² + 5) and (x + 4)

2). (x²- 3) and (x + 11)

Step-by-step explanation:

We have to determine the factors of the given expression (x³ + 4x² + 5x + 20) by grouping method.

x³ + 4x² + 5x + 20

= x²(x + 4) + 5(x + 4)

= (x² + 5)(x + 4)

Therefore, factors of the given expression are (x² + 5) and (x + 4).

Second expression is (x³ + 11x² - 3x - 33)

Now we will find the factors of this expression by grouping.

x³ + 11x² - 3x - 33

= x²(x + 11) - 3(x + 11)

= (x² - 3)(x + 11)

Therefore, the factors of the given expression are (x² - 3) and (x + 11).

Answer 2

Answer:

Answer:

B x^2(x+4)+5(x+4)

Step-by-step explanation:

Edge2021

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How do answer this ?

Answers

1) the x-axis is the number of hours ; the y-axis is the number of miles

2) the x-axis is the number of minutes; the y-axis is number of gallons

What is even the question

at Alan's sports shop, GO FAST trainers cost £40.95 originally and there is a third off in the sale. At Irene's sport shop, GO FAST trainers cost £40.00 originally and there is a discount of 30% in the sale. Which trainers cost less in the sales?

Answers

the trainers will be cheaper at Alan's sport shop.

prices ->
Alan's: 27.30
Irene's: 28.00

$(1)/(3)$ of 40.95 can be calculated as follows ->

$(1)/(3)$ = $(x)/(40.95)$
simplify to get that x = 27.30

30% of 40.00 can be calculated as follows ->

$(30)/(100)$ = $(x)/(40.00)$
simplify to get that x = 28

$at\ Alan's\ sports\ shop:\n\£40.95- (1)/(3) \cdot\£40.95= (2)/(3) \cdot\£40.95=\£27.30\n \nAt\ Irene's\ sport\ shop:\n\£40.00-30\%\cdot \£40.00=70\%\cdot \£40.00=0.70\cdot \£40.00=\£28.00\n \nAns.\ Less\ cost\ is\ at\ Alan's\ sports\ shop.$

A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $120 for 100 minutes of usage and $95 for 50 minutes of usage. An equation can be written to show the relationship between the total minutes used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph of y against x? Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50

Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 2

Draw a graph which joins the points (120, 100) and (95, 50) and has a slope = 2

Draw a graph which joins the points (120, 100) and (95, 50) and has a slope = 0.50

Answers

Answer

Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50

Explanation

A graph of y against x means that x is the independent variable and y is the dependent variable. Notice that the charge (y) depends on the number of minutes (x). Therefore, the points that we are going to join to make our graph will have coordinates (x, y)

We know that the company charges $120 for 100 minutes, so x=100 and y=120. Therefore, our first point will be (100, 120)

We also know that the company charges $95 for 50 minutes, so x=95 and y=50. Therefore, our second point will be (50, 95)

Now, to find the slope between our tow points, we are going to use the slope formula: $m=(y_(2)-y_(1))/(x_(2)-x_(1))$

where

$(x_(1),y_(1))$ are the coordinates of the first point

$(x_(2),y_(2))$ are the coordinates of the second point

We know from our points that $x_(1)=100$ , $y_(1)=120$ , $x_(2)=50$ , and $y_(2)=95$ . So let's replace those values in our formula to find $m$

$m=(y_(2)-y_(1))/(x_(2)-x_(1))$

$m=(95-120)/(50-100)$

$m=(-25)/(-50)$

$m=(1)/(2)$

$m=0.50$

Now that we have our slope, we can use the point-slope formula to complete the equation of the line joining our two points

$y-y_(1)=m(x-x_(1))$

$y-120=0.50(x-100)$

$y-120=0.50x-50$

$y=0.50x+70$

Answer:

Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50

Step-by-step explanation:

Marks doctors appointment was 35 minutes after Tysons appointment. Tysons appt was 20 minutes after Timothy's appt. Timothy arrived 8 minutes before his appt but 17 minutes after Raul's appt which started at 9:30 am. At what time did Marks appt start?

Answers

so 9:30 17 min goes by so its 9:47 but tim arrived 8 mins before so it was 9:39 when he arrived. Next tyson arrived 20 min after tims ORIGINAL oppt 9:47 20 min 10:07 then for marks 35 min after witch is 10:12

What are all the common factors of 24,64,88

Answers

the common factors of 24,64,88 IS 1,2,4and 8.

hope this help!!

What is the volume of the sphere in terms of A?V = 224
a in 3
1
6 in.
Dane

Answers

Answer:

288 \pi

Step-by-step explanation:

$V = (4)/(3) * \pi *r^(3) \nV = (4)/(3) * \pi *6^(3) = 288 \pi in^(3) ANS$

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