Answer:
32 + 4x ≤ 50
Step-by-step explanation:
Cost of tickets = $32
Cost of soda = $4
Total spent = $50
When we say "no more than", we mean less than or equal to (≤)
He buys 1 tickets and x sodas
32 + 4x ≤ 50
4x ≤ 50 - 32
4x ≤ 18
Divide both sides by 4
x ≤ 18 / 4
x ≤ 4.5
Shawn can buy more than 4 sodas
The inequality which makes the function have two real roots is; m > -1/5.
<h3>What is the inequality which makes the function have two real roots?</h3>
It follows from the task content that the required inequality may be determined by subjecting the determinant to greater than 0 as follows;
D > 0
b² - 4ac > 0
(2)² - 4(m)(-5) > 0
4 +20m > 0
20m > -4
m > -4/20
m > -1/5
Read more on real roots;
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Answer:
in
Step-by-step explanation:
Let x be the side of square.
Length of box=8-2x
Width of box=15-2x
Height of box=x
Volume of box=
Substitute the values then we get
Volume of box=V(x)=
Differentiate w.r.t x
Again differentiate w.r.t x
Substitute x=6
Substitute x=5/3
Hence, the volume is maximum at x=
Therefore, the side of the square ,
in cutout that gives the box the largest possible volume.
Answer:
15 chips and 8 pretzels
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Total spent = $7.75
Number of snacks = 23
Chips cost = $0.25
Pretzels cost = $0.50
Let number of chips = X
So, number of pretzels = 23 - X
So, we can calculate number of snacks by using following equation
0.25X + 0.50 ( 23 - X) = $7.75
0.25X + 11.50 - 0.50X = 7.75
0.25X - 0.50X = 7.75 - 11.5
-0.25X = -3.75
X = -3.75 ÷ -0.25 = 15
Hence, Number of chips = 15
Number of Pretzels = 23 - 15 = 8
A piggyback mortgage can include any additional mortgage loan beyond a borrower's first mortgage loan that is secured with the same collateral. In short, a piggyback mortgage is when you take out two separate loans for the same home.
Common types of piggyback mortgages include home equity loans and home equity lines of credit.
