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lbvjy [14]
2 years ago
13

Factor y=x² + 4x + 3

Mathematics
1 answer:
stiks02 [169]2 years ago
8 0

Answer:

y=(x+3)(x+1)

Step-by-step explanation:

y=x^2+4x+3 <-- Given

y=x^2+x+3x+3 <-- Expand middle term

y=x(x+1)+3(x+1) <-- Factor into two parts

y=(x+3)(x+1) <-- Combine like terms

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The expression 8x2 − 144x 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represent
Rzqust [24]

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also,  y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Learn more about a quadratic equation here:

brainly.com/question/2263981

8 0
2 years ago
What is 10% of 66,743.22
kramer

Answer:

The answer is 6,674.322

Step-by-step explanation:

An easy way to solve this is to move the decimal point up by one space.

You could also multiply 66,743.22 by 0.1 and you would get the answer.

Hope this helps :)

4 0
3 years ago
Read 2 more answers
What is the value of the expression a2 + b3 when a= 1/3 and b= 1/2 ?
Aleksandr-060686 [28]

Answer:

B. \frac{17}{72}

Step-by-step explanation:

{a}^{2}  +  {b}^{3}  \\  \\  =  \bigg( \frac{1}{3} \bigg)^{2}  + \bigg( \frac{1}{2} \bigg)^{3} \\  \\  =  \frac{1}{9}  +  \frac{1}{8}  \\  \\  =  \frac{8 + 9}{9 \times 8}  \\  \\  =  \frac{17}{72}  \\

6 0
3 years ago
If a fourth plant produces 400 widgets in 60 days, which statement is true?
USPshnik [31]
The complete question in the attached figure

the statements are
1) It makes less than plant B
2) It makes the same as plant A
3) It makes more than plant C

we know that
<span>analyzing the graph

</span>plant A
for x=40  y=100
for x=50   y=200
that means 
the production in 10 days is 100 widgets
then
the production in 60 days will be 6*100----> 600 widgets
so
plant A production  > plant fourth production
plant fourth production < plant A production

plant B
for x=40  y=0
for x=60   y=100
that means 
the production in 20 days is 100 widgets
then
the production in 60 days will be 3*100----> 300 widgets
so
plant B production  < plant fourth production
plant fourth production > plant B production

plant C
for x=20  y=0
for x=40   y=100
that means 
the production in 20 days is 100 widgets
then
the production in 60 days will be 3*100----> 300 widgets
plant C production  < plant fourth production
or 
plant fourth production > plant C production

therefore 

the answer is 
3) It makes more than plant C

7 0
3 years ago
Read 2 more answers
What is the stem-and-leaf plot for
Verdich [7]

The stem-and-leaf plot for 29,22,21,6,13,6,17,29,26,9,16,10,25,3,2,23,13,10,7,16,29,30,4,11,7,28,27,22,10 is shown in the image attached below (see attachment).

<h3>What is a Stem-and-leaf Plot?</h3>

A stem-and-leaf plot is a table which is used to display a set of data in such a way that, on the left we have the "stem" which displays the first digit or digits of a data value.

On the right, we have the 'leaf' which displays the last digit of the data value.

For example, if we are to represent "25" and "26" on a stem-and-leaf plot, we would have: 2 | 5, 6.

Therefore, the stem-and-leaf plot for 29,22,21,6,13,6,17,29,26,9,16,10,25,3,2,23,13,10,7,16,29,30,4,11,7,28,27,22,10 is shown in the image attached below (see attachment).

Learn more about the stem-and-leaf plot on:

brainly.com/question/8649311

8 0
2 years ago
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