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hram777 [196]
3 years ago
12

Lalo has 1,500 minutes per month on his cell phone plan. How many more minutes can he use if he has already talked for 785 minut

es? What is the solution,
Mathematics
1 answer:
Ket [755]3 years ago
4 0

Answer:

715 minutes

Step-by-step explanation:

we know that

To find out how many more minutes he can use, subtract the number of minutes he has already talked from the number of minutes  of his plan

Let

x -----> the number of minutes  of his plan

y -----> he number of minutes he has already talked

so

x-y

we have

x=1,500\ min\\y=785\ min

substitute

1,500-785=715\ min

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write a polynomial function of least degree with integral coefficients that has the given zeros. -(1/3), -i
inessss [21]

Answer:

f(x)=3x^3+x^2+3x+1

Step-by-step explanation:

If a real number -\frac{1}{3} is a zero of polynomial function, then

x-\left(-\dfrac{1}{3}\right)=x+\dfrac{1}{3}

is the factor of this function.

If a complex number -i is a xero of the polynomial function, then the complex number i is also a zero of this function and

x-(-i)=x+i\ \text{ and }\ x-i

are two factors of this function.

So, the function of least degree is

f(x)=\left(x+\dfrac{1}{3}\right)(x+i)(x-i)=\left(x+\dfrac{1}{3}\right)(x^2-i^2)=\\ \\ =\left(x+\dfrac{1}{3}\right)(x^2+1)=\dfrac{1}{3}(3x+1)(x^2+1)=\dfrac{1}{3}(3x^3+x^2+3x+1)

If the polynomial function must be with integer coefficients, then it has a form

f(x)=3x^3+x^2+3x+1

4 0
4 years ago
Find the 14th term of the geometric sequence 3,6,12,24.
jekas [21]
An=a1(r)^(n-1)
a1=first term
r=common rati

common ratio is a term divded by previous term
6/3=2
r=2

first term is 3

an=3(2)^(n-1)
14th term
a14=3(2)^(14-1)
a14=3(2)^13
a14=3(8192)
a14=24576

the 14th term is 24576


5 0
4 years ago
In circle M shown, diameter SW intersects chord VT at R such that m arc VS = 146 degrees and m arc ST = 64 degrees. Which of the
Mandarinka [93]

Answer:

(3) 49

Step-by-step explanation:

The circle diagram is attached below. angle mVS = 146°

and  angle mST =  64°.

mWT = 360 -64 - 146 = 150 (angle at a point)

∠ VWS = 73° = mVS / 2

MVW = 180 - 146 = 34 (angle in a straight line)

MVW = 180 -73 - 34 = 73° (angle in a triangle)

∠TMR = 180 - 64 = 116° (angle on a straight line)

∠VMT = 116 + 34 = 150°

∠ MVT = ∠ MTV (base angles of an isosceles triangle)

150 +2∠ mTV = 180

∠ MTV = 15°

∠RVW = 73 - 15 = 58°

∠RVW + ∠ VWS  + ∠VRW = 180

∠VRW  = 180 - 58 - 73 = 49

5 0
3 years ago
87% of 70 do not round
natali 33 [55]

Answer:

60.9

Step-by-step explanation:

4 0
3 years ago
The owner of a new restaurant wants to have seating for more than 75 people. There is currently a
Irina18 [472]

Answer:

C. 4m + 3 > 75

Step-by-step explanation:

There is only one private chef's table so this remains constant at 3. There are m number of tables that will seat 4 people so 4 is multiplied by m.

8 0
4 years ago
Read 2 more answers
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