f(x) = 6x + 8, g(x) = 2x^2
Find (f+ g)(x).

Assuming you have to pay 30 pounds for somebody handing it in to lost property, you'll have a 0.5 probability that you'll have to pay the 30 pounds if you lose the phone.
Also assuming there are no other ways to lose your phone, you have a 0.5 probability (50% chance?) to lose your phone.
Also assuming the "control measure" is the insurance and you won't have to pay a larger amount, you'll probably be better off paying the 30 pounds instead of the larger amount because you have such a high chance of losing your phone.
I apologize if I misunderstood the question.

The linear equations are 6x + y = 5, x + 2 = −8, y = 1, and y = −2/3x + 3. Then the correct options are A, B, E, and G.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

If the power of the variable is one then the equation will be a linear equation.

The equations are given below.

A.  6x + y = 5, this is the linear equation.

B.  x + 2 = −8, this is the linear equation.

C.  2x² + 3x − 8 = 19, this is not a linear equation.

D.  3 + 8 = 11, this is not a linear equation.

E.  y = 1, this is the linear equation.

F.  4x³ = 32, this is not a linear equation.

G.  y = −2/3x + 3, this is the linear equation.

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[tex]~~~~~~1.5(x+4)-3 = 4.5(x-2)\\\\\implies 15(x+4) -30 =45(x-2)~~~~~~~~;[\text{Multiply both sides by 10]}\\\\\implies 3(x+4)-6=9(x-2)~~~~~~~~~~;[\text{Divide both sides by 5]}\\\\\implies 3x+12-6=9x-18\\\\\implies 3x+6=9x-18\\\\\implies 9x-3x = 18+6\\\\\implies 6x = 24\\\\\implies x = \dfrac{24}6\\\\\implies x =4[/tex]

Answer:

15

Step-by-step explanation:

Distance formula: [tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

Plug in (-1,2) and (11, -7):

[tex]d=\sqrt{(11-(-1)^{2}+(-7-2)^{2} } = d=\sqrt{(12)^{2}+(-9)^{2} }=\sqrt{144+81} = \sqrt{225} = 15[/tex]

Answer:

3 1/12

Step-by-step explanation:

The composition of the two given functions is:

(k°h)(x) = 1/5x

Here we have the functions h(x) = 5x and k(x) = 1/x.

We want to get (k°h)(x), which is equal to:

k(h(x))

Then we have:

k(h(x)) = 1/h(x)

Replacing h(x) we get:

k(h(x)) = 1/h(x) = 1/(5x)

So the composition is just one over 5x.

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Answer:

37.5 cups of blue

12.5 cups of green

50 cups of white

Answer:

1. A

2. A

Step-by-step explanation:

Question 1

1 Factor out the common term 2.

2(x^2+6x+9)=0

2 Rewrite x^2+6x+9 in the form a^2+2ab+b^2a, where a=x and b=3.

2(x^2+2(x)(3)+3^2)=0

3 Use Square of Sum: (a+b)^2=a^2+2ab+b^2(a+b).

2(x+3)^2=0

4 Divide both sides by 2.

(x+3)^2=0

5 Take the square root of both sides.

x+3=0

6 Subtract 3 from both sides.

x=-3

Question 2

1 Move all terms to one side.

2r^2-5r-3=0

2 Split the second term in 2r^2-5r-3 into two terms.

2r^2+r-6r-3=0

3 Factor out common terms in the first two terms, then in the last two terms.

r(2r+1)-3(2r+1)=0

4 Factor out the common term 2r+1.

(2r+1)(r-3)=0

5 Solve for r.

r=-1/2,3

The equation that can be factored and solved for the samller integer is x² + x - 72 = 0

The product of two consecutive integers is 72. The equation that represents the situation is as follows:

x(x + 1) = 72

where

Therefore,

x(x + 1) = 72

x² + x = 72

x² + x - 72 = 0

Therefore, the equation that can be factored and solved for the samller integer is x² + x - 72 = 0

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Answer:

The odds will be 5/13.

Step-by-step explanation:

There are 13 marbles total in this situation. 5 orange, 3 yellow and 5 black (5+3+5) will give us 13 as our overall total. Now, because we have 5 orange marbles available, we'll write this as a 5/13 odds/ chance of picking an orange marbles because it is how many orange marbles are present over how many marbles there are total.

Also! You can't simplify this any further, thus you'd have 5/13 odds.

Step-by-step explanation:

Area of shaded region= area of rectangle- area of semi-circle

Area of rectangle= l×b

                            =6×4

                            =24 in²

Area of semi-circle=[tex]\frac{\pi r^{2} }{2}[/tex]

                              = [tex]\frac{\pi (2)^{2} }{2}[/tex]

                              = 6.28 in²

Area of shaded region= area of rectangle- area of semi-circle

                                     = 24-6.28

                                     =17.72 in²

Answer:

The height does not lie on the base because it is perpendicular to the base.

Answer:

6! = 720

3! - 2! = 4

6! ÷ 3! = 120

Step-by-step explanation:

I used a calculator.  ^v^

Answer:

20

Step-by-step explanation:

10 + 30 = 40

40 - 10 = 30

30 - 10 = 20

answer is 20

Answer:

20 bouncy Balls!

Step-by-step explanation:

10+30 - 20 = 20

The volume of the rectangular prism A, the preimage is 41km^3

The given parameters are:

Volume B = 5125km^3

Scale factor, k = 5

The volume of B is calculated using:

B = A * k^3

So, we have:

5125 =  A * 5^3

Divide both sides by 5^3

A = 41

Hence, the volume of rectangular prism A, the preimage is 41km^3

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Answer:

0.7°

Step-by-step explanation:

From the figure:

CF = 4000.2 miles, CE = 4000.01 miles

so FT = √CF² - CT², TE = √CE² - CT²

so FT = 40 miles, TE = 8.94 miles

so ½ × 4000.2 × 4000.01

xsin angle FCE = ½ × 4000 × 140 + 8.94

so sin angle FCE = 0.0122

so angle FCE = 0.7°

so m SB = 0.7°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer:

-2

Using the slope formula (y1-y2)/(x1-x2), the slope of the line is (-10-8)/(9-0), which is equal to (-18)/9= -2.

Slope

Answer:

C. Complementary angles

Step-by-step explanation:

Since it's mentioned that <DAB is 90 degrees then that means that <BAE is also 90 degrees and since angles A and B are the only angles in <BAE, it means that Angle A and B are complimentary

Answer:

The probability as a decimal to the nearest hundredth is 0.550.55.

Step-by-step explanation:

61 cash, 5 debit card, and 45 credit card.

\color{steelblue}{61}+5+45=

61+5+45=

\,\,\color{indianred}{111}

111

There were a toal of 111 customers. 61 paid with cash.

Probability the next customer will pay with cash:

\frac{\color{steelblue}{61}}{\color{indianred}{111}}=

111

61

​

=

\,\,0.549549...

0.549549...

\approx

≈

\,\,0.55

0.55

Round to the nearest hundreth

The probability that the next customer will pay with cash is 0.55.

Probability is the ratio of the number of favorable events divided by the total outcome.

We have, given that, Tanisha owns a small business selling bagels. She knows that in the last week 61 customers paid cash, 5 customers used a debit card, and 45 customers used a credit card.

The total number of payments is,

61+45+5=111.

We have to find the probability that the next customer will pay with cash as a decimal to the nearest hundredth.

The number of the favorable outcome for the customer will pay with cash is 61, and the total number of outcomes is 111.

Therefore, the probability is,

P(A)=61/111

P(A)=0.5495.

Therefore, the probability of the nearest hundredth is 0.55.

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Answer:

2 small prism could fit.

Step-by-step explanation:

the large prism is 4 feet tall, 5 feet long, And 3 feet wide. So it would take to small prism to fit because the small prism is 2 feet tall, 2.5 feet long, And 1.5 feet long. Do you see it the small prism is exactly half the size of the large prism there the large prism could fit two small prism with in its self.

Answer:

442.302 kg

Step-by-step explanation:

amount = 487 (1/2)^(t/36) where t is the number of days.

if t = 5

amount = 487(.5)^(5/36)

= 442.302 kg

Answer:

1863M

Step-by-step explanation:

split into smaller rectangles

(31 * 23) * 2 = 713 *2 = 1426

31-12 = 19

19 * 23 = 437

1426 + 437

The polynomial function with leading coefficient of 3 and root -4, i, and 2 all with multiplicity of 1 is f(x) = 3(x+4)(x-i)(x+2)

The Leading coefficients are the numbers written in front of the variable with the largest exponent.

Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero.

The multiplicity is the number of times a given factor appears in the factored form of the equation of a polynomial.

Therefore, the polynomial f(x) = 3(x+4)(x-i)(x+2) has a root -4 , 1 and -2.

The leading coefficient is 3. The multiplicity is all one.

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Answer:

d

Step-by-step explanation:

Answer:

Famous mathematician Archimedes of Syracuse did the first calculation of pi around 250 BC. Without pi, we cannot calculate the ratio of the circumference of a circle to its diameter. Pi is made up of 31.4 trillion digits. Within pi, you can find your birthday, social security number, and every word ever if put into alphabetic values (1=a, 2=b, etc). You can get your entire life story from beginning to end just from pi!

hope this helps:)

Answer:

The hypotenuse has a length of 6

Step-by-step explanation:

Remark

The first step is to create the 2 equations needed to solve this problem.

Then substitute one into the other.

Equations

c^2 + a^2 + b^2 = 72  

c^2 = a^2 + b^2

Solution

c^2 + a^2 + b^2 = 72             The sum of the sides each squared of a right triangle = 72

c^2 = a^2 + b^2                      The pythagorean theorem says the hypotenuse of the right triangle = the sum of the squares of two smaller sides. You can substitute the hypotenuse squared into the top equation for a^2 + b^2

c^2 + c^2 = 72

2c^2 = 72

c^2 = 36

c = 6.                      minus 6 is meaningless

Answer:

The area formula of a circle is [tex]A=\pi* r^2[/tex] where r is the radius and in this case our r is 48 m.  So we would just plug in 48 m into r which would get squared and then multiplied by pi to give us [tex]7,238.23\ m[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

[tex]\pi[/tex]r²

Answer:

10.25 × h + 25= t

Step-by-step explanation:

he gets 10.25 for every hour, so you do 10.25 × h, than for his extra bonus of 25 dollars a day, you add 25. than t shows the final earnings