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Grace [21]
2 years ago
14

Write g(x) = 40x + 4x2 in vertex form. Write the function in standard form. Factor a out of the first two terms. Form a perfect

square trinomial. Write the trinomial as a binomial squared.
g(x) = 4x2 + 40x
g(x) = 4(x2 + 10x)
(10/2)^2= 25
g(x) = 4(x2 + 10x + 25) – 4(25)
g(x) =______ (x +______)2 – _______
Fill the blanks.
Mathematics
2 answers:
professor190 [17]2 years ago
8 0

Answer:

g(x)= [ 4 ] (x + [ 5 ] )^2 - [ 100 ]

works for edge

Aliun [14]2 years ago
6 0
G(x)=4x^2+40x
g(x)=4(x^2+10x)
g(x)=4(x^2+10x+25)-4(25)
g(x)=4(x+5)^2-100

the missing numbers that should be filled in the blanks are:
4, 5, 100
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In a certain town, 60 families own tv sets, 85 own scooters, 70th own refrigerators, and 95 own radio sets. One hundred and thir
Black_prince [1.1K]

Answer:

  310

Step-by-step explanation:

The maximum possible number is obtained when each family owns one appliance only. That total is ...

  60 + 85 +70 +95 = 310

The maximum possible number of families is 310.

5 0
2 years ago
A piece of equipment moves 16.8 yards in 12 minutes how many feet does it move per second?
I am Lyosha [343]

convert yards to feet and minutes to seconds

1yard=3ft

16.8yards times 3ft/1yd=50.4ft


1minute=60 seconds

12minutes times 60seconds/1min=720seconds


feet per second=50.4ft/720sec=0.07ft/sec


answer is 0.07ft/sec

6 0
2 years ago
On a coordinate plane, square P Q R S is shown. Point P is at (4, 2), point Q is at (8, 5), point R is at (5, 9), and point S is
sergey [27]

Answer:

(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

Step-by-step explanation:

  • Point P is at (4, 2),
  • Point Q is at (8, 5),
  • Point R is at (5, 9), and
  • Point S is at (1, 6)

Midpoint of SQ =\frac{1}{2}(1+8,5+6)=(4.5,5.5)

Midpoint of PR =\frac{1}{2}(4+5,2+9)=(4.5,5.5)

Now, we have established that the midpoints (point of bisection) are at the same point.

Two lines are perpendicular if the slope of one is the negative reciprocal of the other.

In option D

  • Slope of RP =7
  • Slope of SQ  =-\dfrac17

Therefore, lines RP and SQ are perpendicular.

Option D is the correct option.

6 0
2 years ago
You offer senior citizens a 20 percent discount on their meal prices served at your cafeteria. Assuming that an average of 150 s
scoray [572]

Given, there are an average of 150 citizens eat daile in the cafeteria.

The average price of their meals = $5.95.

The discount given for sinior citizens in their meals = 20%

So we have to find 20% of $5.95 first.

20% of $5.95 = (5.95)(\frac{20}{100} )

= \frac{(5.95)(20)}{100}

= \frac{119}{100}

= 1.19

So, the amount of discount given to the senior citizens = $1.19 per head.

As there are 150 cinior citizens daily.

So total discount given daily = $(150)(1.19) =$178.5

So we have got the required answer.

Option C is correct here.

3 0
2 years ago
Read 2 more answers
Jan had $126. she spent 1/6 of her money on her makeup and 2/3 of her money on shoes. How Much does Jan have left?
Jobisdone [24]

She has 1/6 of her money left, which is $21. 

2/3=4/6, so 4/6 + 1/6=5/6, which means she has 1/6 left.  Divide $126 by 6 and you get $21.

3 0
1 year ago
Read 2 more answers
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