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2 years ago

The square of a number minus 5 equals 220. What is that number?

1 answer:

5 0

The square of a number minus 5 from it should equal 220. This means if we add five in 220 it gives us 225 which should be the square of sum number. SO under root of 225 is equal to 15.

Again this mean xr ^ 2 + x = 306. If we solve this we get 17 as our answer as square of 17 is 289 and if we add 17 to it that becomes 306 which is our desired answer.

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Integers contain whole numbers True or False

murzikaleks [220]

Answer:

true...integers are whole number...both negative and positive

Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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2 years ago

Factor f(x) = 4x2 + 11x? - 104x + 105 into linear factors given that – 7 is a zero of f(x).

ioda

Answer:

f(x) = 4x + 11x2 - 104x + 105 = (x - 3)(x + 7)(4x - 5)

Step-by-step explanation:

f(x) = 4x^3 + 11x2 - 104x + 105

has the coefficients {4, 11 -104, 105}. We perform synthetic division using the given -7 as divisor:

-7 / 4 11 -104 105

-28 119 -105

-----------------------------------

4 -17 15 0

Since the remainder is zero (0), we have shown that -7 is a zero of f(x). The coefficients of the quotient (above) are {4, -17, 15}. Let's try factoring the corresponding polynomial again using synthetic division. Start out by using 5 as divisor and determining whether or not the remaindeer is zero:

5 / 4 -17 15

20 15

-------------------------

4 3 30 No, the remainder is 30 and so 5 is not a

root of this quadratic. Try the divisor 3 instead:

3 / 4 -17 15

12 -15

---------------------------

4 -5 0 Yes, the remainder is 0 and so 3 is a root.

Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:

f(x) = 4x + 11x2 - 104x + 105 = (x - 3)(x + 7)(4x - 5). Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.

8 0

2 years ago

Find the amount of interest on $1,500 invested for 20 days at 6.75%, compounded daily. $_____

LekaFEV [45]

Answer:

The required amount of interest is $5538.

Step-by-step explanation:

Given : $1,500 invested for 20 days at 6.75%, compounded daily.

To find : The amount of interest ?

Solution :

Applying compound interest formula,

$A=P(1+r)^t$

Where, A is the amount

P is the principal P=$1500

r is the interest rate r=6.75%=0.0675 compounded daily

t is the time t=20 days

Substitute the value in the formula,

$A=P(1+r)^t$

$A=1500(1+0.0675)^{20}$

$A=1500(1.0675)^{20}$

$A=1500\times 3.69$

$A=\$5538$

Therefore, The required amount of interest is $5538.

4 0

2 years ago

The price of a cellular telephone plan is based on peak and nonpeak service. Kelsey used 45 peak minutes and 50 nonpeak minutes

Oxana [17]

We can build a system of two linear equations with two unknowns with the info provided in the problem, one with Kelsey info and one with Mitch info like so:
Lets call p the amount on peak minutes and n the amount of non-peak minutes:
45p + 50n = 27.75
70p + 30n = 36
lets reduce the equations dividing the first by 5:
9p + 10n = 5.55
70p + 30n = 36
now, to eliminate n, lets multiply the first equation by -3 and add the two equations:
-27p - 30n = -16.65
70p + 30n = 36
----------------------------
43p + 0 = 19.35
p = 19.35/43
p = 0.45
therefore the peak rate is $0.45 per minute
lets substitute in one of the original equations this result:
45p + 50n = 27.75
45(0.45) + 50n = 27.75
20.25 + 50n = 27.75
50n = 27.75 - 20.25
50n = 7.5
n = 7.5/50
n = 0.15
therefore the non-peak rate per minute is $0.15

5 0

2 years ago