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salantis [7]
3 years ago
12

What are the factors of the expression (y-2)(x+3)?

Mathematics
2 answers:
BartSMP [9]3 years ago
7 0

Answer:

<h3>yx+3y-2x-6</h3>

Step-by-step explanation:

Isolate by the x or y on one side of the equation.

First, used FOIL method.

<u><em>FOIL METHOD</em></u>

(A+B)(C+D)=AC+AD+BC+BD

A=y

B=(-2)

C=x

D=3

Rewrite the equation.

yx+y*3+(-2)x+(-2)*3

yx+3y-2x-2*3

Solve.

Multiply.

3*2=6

yx+3y-2x-6

As a result, the final answer is yx+3y-2x-6.

masya89 [10]3 years ago
5 0

Answer:

Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression

with this information we can conclude that the numbers  2 and 3 are factors

Step-by-step explanation:

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Each of 16 students will give a 1 1/5 minute speech in English class.
Mice21 [21]

Answer:

19 1/5

Step-by-step explanation:

1 1/5 * 16

6/5 * 16

96/5

19 1/5

8 0
3 years ago
Zher and Gabbie are making cookies for the Hospitable Pantry. They only have up to 6 hours to
GrogVix [38]

Answer:

32x3=96. 20x3= 60. 60 + 96=156 if you make 3 hours of chocolate chip and 3 hours snickerdoodles you will have 156 cookies

4 0
2 years ago
The heights of the children at a summer camp are normally distributed with a mean of 54 in. and a standard deviation of 2.4 in.
Andreyy89
The z-score is a measure of how many standard deviations the value is from the mean. A z-score of 1.5 means that the value is 1.5 standard deviations above the mean. 

<span>1.5 x 2.4 = 3.6 </span>
<span>54 + 3.6 = 57.6 </span>

<span>Answer: </span>
<span>57.6 in </span>

<span>The formula is: </span>
<span>x = zσ + μ </span>

<span>z : z-score (1.5) </span>
<span>σ : standard deviation (2.4) </span>
<span>μ : mean (54) </span>

<span>Answer: </span>
<span>x = 57.6</span>
6 0
3 years ago
What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6 ?
allochka39001 [22]

Answer:

y = 4/3x - 8

Step-by-step explanation:

slope of given line is -3/4 so the perpendicular slope is 4/3

line goes through (6, 0)

y = mx + b

0 = 4/3(6) + b

-8 = b

y = 4/3x - 8

3 0
3 years ago
Mr. Robinson traveled to a city 210 miles from his home to attend a meeting. Due to car trouble, his average speed returning was
Mnenie [13.5K]

Answer: the average speed at which he traveled to the city is 74.8 mph

Step-by-step explanation:

Let x represent the rate or speed at which he traveled to the city. Due to car trouble, his average speed returning was 9 mph less than his speed going. It means that the speed at which he returned is (x - 9) mph.

Time = distance/speed

Assuming the distance travelled to and from the city is the same ie 210 miles, then

Time spent in travelling to the city is

210/x

Time spent in travelling back from the city is

210/(x - 9)

If the total time for the round trip was 6 hours, it means that

210/x + 210/(x - 9) = 6

Multiplying both sides of the equation by x(x - 9), it becomes

210(x - 9) + 210x = 6x(x - 9)

210x - 1890 + 210x = 6x² - 54x

6x² - 54x - 210x - 210x + 1890 = 0

6x² - 474x + 1890 = 0

We would apply the general formula for solving quadratic equations which is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 6

b = - 474

c = 1890

Therefore,

x = [- - 474 ± √(- 474² - 4 × 6 × 1890)]/2 × 6

x = [474 ± √(224676 - 45360)]/12

x = [474 ± √179316]/12

x = (474 + 423.5)/14 or x = (474 - 423.5)/12

x = 74.8 or x = 4.2

Checking,

For x = 74.8

210/74.8 + 210/(74.8 - 9) = 6

= 2.8 + 3.2 = 6

Therefore, x = 74.8 mph

4 0
3 years ago
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