Use completing the square to solve (x – 12)(x + 4) = 9 for x. x = –1 or 15 x = 1 or 7

Answers

Answer 1
Answer: (x - 12)(x + 4) = 9
x² + 4x - 12x - 48 = 9
x² - 8x - 48 = 9    |add 48 to both sides
x² - 8x = 57
x² - 2x · 4 = 57    |add 4² to both sides
x² - 2x · 4 + 4² = 57 + 4²    |use (a - b)² = a² - 2ab + b²
(x - 4)² = 57 + 16
(x - 4)² = 73 ⇔ x - 4 = √73 or x - 4 = -√73    |add 4 to both sides

x = 4 + √73 or x = 4 - √73

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1. Write a function rule for finding the amount of daily pay, p, in the following situation: A bus drivergets paid $100 each day plus $0.20 per kilometer, k. (1 point)
100 = 0.20 × k
p = 0.20 × 100 × k
p = 0.20k + 100
0.20k = 100 + p
Use the table below to answer the following question.
2. Do the values in the table represent a linear function? If so, what is the function rule?
(1 point)
The values do not show a linear function.
Yes, the values show a linear function: y = x + 4.
Yes, the values show a linear function: y = 2x + 2.
Yes, the values show a linear function: y = 2x.
Use the following graph to answer the question.
3. Write an equation for the line shown in the graph.
(1 point)2/20/2015 Writing Rules for Linear Functions
https://www.connexus.com/content/render.aspx?disableAssessment=true&printpreview=true&printpopup=true&idSection=504591&idCourse=31343&idWebus… 2/2
10 = 4x
y = 2x + 10
y = 10x – 2
y = –x + 10
Write a function rule for the total cost.
4. One frozen yogurt store sells frozen yogurt for $3.00 per cup and $1.25 per topping. Write a linear
equation to show the total cost of a cup of frozen yogurt. Then calculate the total price for one cup of
frozen yogurt with 4 toppings. (1 point)
y = 1.25x + 3; $5.00
y = 3x + 1.25; $13.25
y = 1.25x + 3; $8.00
y = 5x + 3; $8.00

Answers

1.
To figure out how much the bus driver gets paid everyday you will need this function. 
P = 0.20K + 100

2.
the table:(x)(-2,0,2,4 (y)-4,0,4,8
The values in the table do represent a linear function.

Y = 2X

Plug in values from the table

-4 = 2(-2)
-4 = -4

3. 
Connexus login?

4.
The equation that shows the total cost of a cup of frozen yogurt is Y = 1.25X + 3; $8.00.

19. Lavina wants to buy a rocking chair for $160. She will pay 10% down and pay the rest in six monthly installments. What will be the amount of each monthly payment?A. $26
B. $27
C. $24
D. $16

20. The ratio of an object's weight on Earth to its weight on Neptune is 5 : 7. How much would a person who weighs 150 pounds on Earth weigh on Neptune?
A. 750 pounds
B. 107 1/7 pounds
C. 210 pounds
D. 170 pounds

Answers

number 19

price :$16
pay :10%
ask:each monthly payment
answer:
pay =10%×$160=$16
each monthly payment
={$160-$16}÷6
144÷6
$24
number 20
weight earth:150 pounds
ratio :5:7
weight neptune :7/5×150=210 pounds

Use the Distributive
Property to rewrite 8(16) + 8(6). Then evaluate the
expression.

Answers

Answer:

see explanation

Step-by-step explanation:

8(16) + 8(6) ← factor out 8 from each term

= 8(16 + 6)

= 8(22)

= 8 × 22

= 176

Solve i=Prt for t, if i=105, P=700, and r=0.05

Answers

plug i=105, P=700, r=0.05 in the equation i=Prt
105 = 700*0.05*t
105 = 35*t
divide both sides by 35 
105/35 = 35*t/35
3 = t 
t = 3

True or FalseThe segments shown below could form a triangle.
A_________C is 6
C_____B is 5
B_____________A is 8

Answers

a,b,c-lengths\ sides\ of\ a\ triangle,\ then:\n\na+b > c\na+c > b\nb+c > c\n\nif\ a\leq b\leq c\ then\ a+b > c\n--------------------------\nHere:\na=5;\ b=6;\ c=8\n\na+b=5+6=11 > 8\n\nAnswer:TRUE

Whats the difference of 10 and u ?

Answers

The difference of 10 and u

Answer: 10 - u.