The <em>correct answers</em> are:
5x²+70x+245 ≥ 1050; and
Yes.
Explanation:
Let x be the width of the tablet. Since the width of the TV is 7 inches more than the tablet, the width of the TV would be x+7.
The length of the TV is 5 times the width; this makes the length 5(x+7) = 5x+35.
The area of the TV would be given by
(x+7)(5x+35).
Since Andrew wants the area to be at least 1050, we set the expression greater than or equal to 1050:
(x+7)(5x+35) ≥ 1050
Multiplying this, we have:
x*5x+x*35+7*5x+7*35 ≥ 1050
5x²+35x+35x+245 ≥ 1050
Combining like terms,
5x²+70x+245 ≥ 1050
To see if 8 is a reasonable width for the tablet, we substitute 8 for x:
5(8²)+70(8)+245 ≥ 1050
5(64)+560+245 ≥ 1050
320+560+245 ≥ 1050
1125 ≥ 1050
Since this inequality is true, 8 is a reasonable width.
Answer:
The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>
Step-by-step explanation:
Given:
Initial speed of debris is, 
The height 'h' of the debris above the ground is given as:
As per question, 
. Therefore,
Rewriting the above equation into a standard quadratic equation and solving for 't', we get:
Using quadratic formula to solve for 't', we get:
Therefore, the debris will reach a height of 56 ft twice.
When time 
during the upward journey, the debris is at height of 56 ft.
Again after reaching maximum height, the debris falls back and at 
, the height is 56 ft.
Answer:
<h2>$ 22200 in higher yielding bank and $ 44400 in lower yielding bank</h2>
Step-by-step explanation:
Jolene invests in two bank accounts. The first account gives a 4% interest per year and the second bank gives a 10% interest rate per year.
She puts twice as much in the lower yielding bank account. Let us denote the amount put in high yielding bank account by 
. Lower yielding bank account will have 
.
Interest from lower yielding bank = 
Interest from higher yielding bank = 
Total Interest per year = $ 3996 = 
∴ Jolene invested $ 22200 in higher yielding bank and $ 44400 in lower yielding bank.
prime1
/prīm/
Learn to pronounce
See definitions in:
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adjective
1.
of first importance; main.
"her prime concern is the well-being of the patient"
Similar:
main
chief
key
primary
central
principal
foremost
first
most important
paramount
major
dominant
supreme
overriding
cardinal
preeminent
ultimate
number-one
fundamental
basic
essential
elemental
vital
Opposite:
secondary
subordinate
2.
of the best possible quality; excellent.
"prime cuts of meat"
Similar:
top-quality
highest quality
top
top-tier
best
first-class
first-rate
high-grade
grade A
superior
supreme
flawless
choice
select
finest
superlative
peak
optimal
model
excellent
marvelous
magnificent
superb
fine
wonderful
exceptional
formidable
top of the range
top of the line
tip-top
A1
stellar
top-notch
Opposite:
inferior
noun
1.
a state or time of greatest strength, vigor, or success in a person's life.
"you're in the prime of life"
Similar:
heyday
best days/years
day
time
prime of one's life
maturity
youth
springtime
salad days
bloom
flowering
full flowering
perfection
peak
pinnacle
height
high point/spot
zenith
ascendancy
2.
CHRISTIAN CHURCH
a service forming part of the Divine Office, traditionally said (or chanted) at the first hour of the day (i.e., 6 a.m.), but now little used.prime1
/prīm/
Learn to pronounce
See definitions in:
All
Mathematics
Religion
Printing
Fencing
Weapons
Building
Mechanics
Motoring
Biochemistry
adjective
1.
of first importance; main.
"her prime concern is the well-being of the patient"
Similar:
main
chief
key
primary
central
principal
foremost
first
most important
paramount
major
dominant
supreme
overriding
cardinal
preeminent
ultimate
number-one
fundamental
basic
essential
elemental
vital
Opposite:
secondary
subordinate
2.
of the best possible quality; excellent.
"prime cuts of meat"
Similar:
top-quality
highest quality
top
top-tier
best
first-class
first-rate
high-grade
grade A
CHRISTIAN CHURCH
a service forming part of the Divine Office, traditionally said (or chanted) at the first hour of the day (i.e., 6 a.m.), but now little used.
The interest is 3.5 percent or 3 percents of the sum she deposited.
