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Elza [17]
2 years ago
7

Express 4x^2 − 12x in the form (2x + a)^2 + b.

Mathematics
1 answer:
gladu [14]2 years ago
8 0

Answer: (2x-3)^2-9\\

a=-3

b=-9

Step-by-step explanation:

4x^2-12x=(2x)^2-2*2x*3+9-9\\=(2x-3)^2-9\\

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A sport arena covers 710,430 square feet of ground a news paper reported that the arena covers about 700,000 square feet of grou
n200080 [17]
700,000 is your final answer so the number was rounded to the hundred thousands value/place.
4 0
3 years ago
Graph the line that passes through the points (6, 4)and (8, 8) and determine the equation of the line.
Lesechka [4]
Wow, what a coincidence, I just learned this at school today!
1. Slope
M= yb-ya/xb-xa
M= 8-4/8-6
M= 4/2
M= 2

2. Y-intercept
Y= mx + b
4 = (2)(6) + b
4 = 12 + b
4 = 12 + b
-12 = - 12 + b
-8 = b

Therefore, the equation is Y = 2x - 8
6 0
3 years ago
1. Five gallons of lemonade cost $8.00, which is<br> a rate of _____per____.
Hitman42 [59]

Answer:

1. $1.60

2. gallon

Step-by-step explanation:

Each gallon of lemonade would cost $1.60.

The rate is $1.60 per gallon.

Hope it helps!

3 0
3 years ago
Read 2 more answers
A collection of dimes and nickels is worth 3.30. if there are 42 coins in total how many of each kind of coin are there?
grin007 [14]
1 nickels =$0.05
1 dime= $0.1
let the number of nickels be x and that of dimes be y.
total number of coins is given by:
x+y=42
hence:
y=42-x.......i

total amount of cash will be:
0.05x+0.1y=3.30.........ii
substituting i in ii we get:
0.05x+0.1(42-x)=3.30
0.05x+4.2-0.1x=3.3
-0.05x=-0.9
x=-0.9/(-0.05)
x=18
hence the the number nickels is x=18, the number of dimes will be y=42-x=42-18=24
5 0
3 years ago
Find the mean and the standard deviation for each set of values. Show your work. 15,17,19,20,14,23,12
vekshin1
1. Mean.

\overline{x}=\dfrac{15+17+19+20+14+23+12}{7}=\dfrac{120}{7}\approx\boxed{17.14}

2. <span>Standard deviation.

First we have to square each value and calculate the mean of that squares:

\overline{x^2}=\dfrac{15^2+17^2+19^2+20^2+14^2+23^2+12^2}{7}=\boxed{\dfrac{2144}{7}}

so the variance:

s^2=\overline{x^2}-\overline{x}^2=\dfrac{2144}{7}-\left(\dfrac{120}{7}\right)^2\approx\boxed{12.41}

and the standard deviation:

s=\sqrt{s^2}=\sqrt{12.41}\approx\boxed{3.52}
</span>
3 0
3 years ago
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