Which value of x makes the equation
-6x - 1 = -19 true?

9514 1404 393

Answer:

  a) x = {-1, 3, 4}

  b) (0.472, 13.128)

  c) (3.528, -1.128)

  d) x < 0.472 U x > 3.528

  e) 0.472 < x < 3.528

Step-by-step explanation:

This is a cubic (odd degree) function with a positive leading coefficient, so it will be increasing until the first turning point, and after the last turning point. It will be decreasing between the turning points.

a) A graph shows the zeros to be x = -1, x = 3, x = 4.

b) A graph shows the local maximum to be approximately (0.472, 13.128). The x-coordinate of this point is exactly 2-√(7/3).

c) The local minimum is about (3.528, -1.128). Its x-coordinate is exactly 2+√(7/3).

d) As stated above, the increasing intervals are (-∞, 0.428) ∪ (3.528, ∞).

e) The decreasing interval is (0.428, 3.528).

_____

Additional comments

The sum of odd-degree term coefficients is the same as the sum of coefficients of even-degree terms, so you know one of the roots is -1. Factoring that out gives the quadratic x^2 -7x +12 = (x -3)(x -4), so the other two roots are 3 and 4.

The derivative is 3x^2 -12x +5 = 3(x -2)^2 -7, so its roots (turning points of f(x)) are 2±√(7/3).

I find a graphing calculator can show me the roots and turning points easily.

Answer:

Step-by-step explanation:

[tex]\text{Since the enrollment decreases every year this is exponential decay of the form}\\ \\ F=Ir^t\\ \\ F=12000(1-.05)^t\\ \\ S(n)=12000(0.95)^n[/tex]

Step-by-step explanation:

It's correct.

Ps:Can I be brainliest.

Ps:Have a nice day.

it looks correct sorry for a month late

Answer:

28

Step-by-step explanation:

Answer: pretty sure lily is right

Step-by-step explanation:

Answer:

Louis is right

Step-by-step explanation:

it looks like she spent about 15$ on coffee one week

Answer:

1. 28

2. 53

Step-by-step explanation:

1. The angle CFD is a straight line, this means that the measure is 180. This means, using the angle addition postulate, you can set up the equation [tex]180=x+152[/tex]. Then, subtract 152 from both sides to get [tex]x=28[/tex].

2. The question states that the two angles are complementary. This means that they summate to 90 degrees. So using the angle addition postulate again, you can set up the equation, [tex]90=x+37[/tex]. Finally, subtract 37 from both sides to get [tex]x=53[/tex].

Answer:

3.5

Step-by-step explanation:

14 wands

14/4=3.5

Answer:

30 wands in total

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

30 divided by 4 is 7.5

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

Your answer is [7.5 Wands]

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\text{here is the missing text:} \\ \\ \text{ Suppose a company issues an annual coupon bond with a maturity of 2 years,} \\ \\ \text{ price of $950 \ par \ value \ of $1,000, and coupon rate of 5\% They also issue an}[/tex]

[tex]\text{ annual zero-coupon bond with a maturity of 1 year, price of $900, \ and \ par \ value \ of \ $1,000.}[/tex]

[tex]\text{To determine the 1-year spot rate using the 1-year zero bond.} \\ \\ FV = PV \times (1 + S_1) \\ \\ 1+ S_1 = \dfrac{FV}{PV} \\ \\ 1 + S_1 = \dfrac{1000}{900} \\ \\ S_1 = 11.11\%[/tex]

[tex]\text{PV of the 2-year bond = 950} \\ \\ Annual coupon = 1000 \times 5\% = \$50 \\ \\ \\ 950 = \dfrac{50}{(1+S_1) }+ \dfrac{(50+1000)}{(1+S_2)^2} \\ \\ 950 = \dfrac{50}{1.1111}+ \dfrac{1050}{(1+S_2)^2} \\ \\ \dfrac{1050}{(1+S_2)^2}=950 -45\\ \\ \dfrac{1050}{(1+S_2)^2}=905 \\ \\ (1+S_2)^2 = \dfrac{1050}{905} \\ \\ 1 + S_2= \sqrt{(1.16022)} \\ \\ S_2 = 7.714\%[/tex]

[tex]\text{the arbitrage-free price of the 2-year bond}= \dfrac{1000}{(1+0.07714)^2} \\ \\ = \mathbf{\$861.90}[/tex]

Answer:

6 or 6.4

Step-by-step explanation:

Point 1

(xA,yA)= (9, 8)

Point

(xB,yB) = (5, 3)

Formula :

Distance between two points =

√(xB−xA)2+(yB−yA)2

Solution :

Distance between two points =

√(5−9)2+(3−8)2= √(−4)2+(−5)2= √16+25= √41 = 6.4031

Distance between points (9, 8) and (5, 3) is 6.4031

But you wanted it in a whole number so 6

C 16

Step-by-step explanation:

Take the numbers and use them as a fraction.

Put 4/5 next to x/20. Where x is the unknown number. This is the multiply and divide system multiply 4 times 20 we get 80. Then divide it by what's left which is 5. We get 16

Answer:

1

Step-by-step explanation:

I really can't give you a step-by-step

Answer:

-2x² - 8x + 15 = 0

Step-by-step explanation:

Given the following algebraic expression;

x² – 7x + 5

-3x² - x + 10

To add the equation together;

x² – 7x + 5 + (-3x² - x + 10) = 0

x² – 7x + 5 - 3x² - x + 10 = 0

Collecting like terms, we have;

(x² - 3x²) - (7x + x) + (5 + 10) = 0

-2x² - 8x + 15 = 0

Answer:d

Step-by-step explanation:

Answer:

The volume of the Cylinder is 424.1 Cubuc centimeter.

Step-by-step explanation:

The formula to find the volume of a cylinder is,

[tex]v = \pi \times {r}^{2} \times h[/tex]

Where V is the volume, R is the radius And H is the hight of the Cylinder.

So, in this case, you have

[tex]r = 3cm[/tex]

Because

[tex]radius \: = \frac{diameter}{2} [/tex]

[tex]h = 15cm[/tex]

[tex]v = \pi \times {r}^{2} \times h[/tex]

[tex]v = \pi \times (3cm)^{2} \times 15cm[/tex]

[tex]v = \pi \times 9cm^{2} \times 15cm[/tex]

[tex]v = 424.cm ^{3} [/tex]

Therefor, the volume of the Cylinder is 424.1 Cubic centimeter.

Answer:

(2+3)(+2)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

11+7=18

Answer:

1/49

hope it hepled:))))))))))

[tex]\frac{1}{7} *\frac{1}{7} =\frac{1*1}{7*7} =\frac{1}{49}[/tex]

Answer:

1 1/3

Step-by-step explanation:

4/3 = 1 1/3

Answer:

i need help with something like that aswell

Step-by-step explanation:

Answer:

261

Step-by-step explanation:

first find the area of the triangle

A=9x10/2

A=90/2

A=45

then add it 4 times

then find the area of the square

A=9x9

A=81

and add them all

45+45+45+45+81=261

Answer:

a1=12

a6=12

a5=20

a3=20

a4=15

a2=15

as=94

Step-by-step explanation:

it is asking for each of the areas

I'm assuming As stands for areas summed

Answer:

a1=a6=lb=3×4=12

a5=a3=lb=5×3=15

a4=a2=lb=5×4=20

As=12×2+15×2+20×2=a1+a2+a3+a4+a5+a6=24+30+40= 94

Answer:

$2.68

Step-by-step explanation:

10% tip on $26.79 is u move the decimal  to the left

2.679 and round it

2.68

Hope this Helps !

the distance between the 2 points is 10

Answer:

b

Step-by-step explanation:

Answer:

y = (1/3)x + 2

Step-by-step explanation:

Answer: 1.C 2.B 3.C

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

Can I get brainliest