What did you learn in this lesson about the value of leaving the money invested for long periods of time? How can you apply this to retirement?

First, you should simplify the function expression.

3(x2 + 10x + 5) - 5(x-k) = 3x2 + 30x + 15 - 5x + 5k = 3x2 +15x +15 +5k

In order for the polynomial to be divisible by x, all terms need to divide by x with no remainder.  The first two terms clearly divide by x.  However, the last two do not.  In order for this to work out where k is constant, 5k would have to cancel out the  +15 term, leaving nothing to divide by x.

So: 15 + 5k = 0

5k = -15

k = -3

Answer:

Step-by-step explanation:

slope=(-2-2)/(-2-6)=-4/-8=1/2

eq. of line is

y-2=1/2(x-6)

2y-4=x-6

2y=x-6+4

2y=x-2

or y=1/2x-1

Answer:

ITS D GOOD LUCK WITH YOUR HMK

Answer: 10

Step-by-step explanation:

using [tex]d = \sqrt{(x_{1}-x_{2} )^{2} +(y_{1}- y_{2} )^{2} }[/tex] when [tex]P_{1} =(x_{1} ,y_{1} )[/tex] and [tex]P_{2} = (x_{2}, y_{2})[/tex]

so [tex]d = \sqrt{((-4)-4)^{2}+((-9)-(-3))^{2} }[/tex]

[tex]d = \sqrt{(-4-4)^{2}+(-9+3)^{2} }[/tex]

[tex]d = \sqrt{(-8)^{2}+(-6)^{2} }[/tex]

[tex]d = \sqrt{64+36}[/tex]

[tex]d= \sqrt{100}[/tex]

[tex]d = 10[/tex]

please give me a brainliest answer

Answer:

A = 2 pi R^2 + 2 pi R h         total surface area

R^2 = 48       2 pi R = 8 * 6^1.2     given

56 pi 6^1/2 - 2 pi R^2 = 2 pi R h     f rom first formula

28 *  6^1/2 /  R - R = h          divide by 2 pi r

28 *  6^1/2 /  R  = 28 * 6^1/2 / (4 3^1/2) = 7 * 2^1/2

h = 7 * 2^1/2 - 4 * 3^1/2

Using the distributive law to factor, the expression becomes 16m + 6n = 2(8m + 3n)

GIven three integers A, B and C, according to the distributive property;

A(B+C) = AB + BC

Given the expression 16m + 6n

First, we need to get the factors of both terms

16m = 2 * 8 * m

6n = 2 * 3 * n

From both factors, we can see that 2 is common to both of them. Hence using the distributive law to factor, the expression becomes;

16m + 6n = 2(8m + 3n)

Learn more here: https://brainly.com/question/2118428

Answer:

24

Step-by-step explanation:

You're given a side and a hypotenuse in a right triangle, so you're able to use the Pythagorean Theorem.

[tex]a^{2} + b^{2} = c^{2}\\\\a^{2} + (7)^{2} = (25)^{2}\\[/tex]

Now isolate a on one side and solve for a.

[tex]\\a^{2} = (25)^{2} - (7)^{2}\\\\a = \sqrt{(25)^{2} - (7)^{2}} \\\\a = 24[/tex]

Answer:

C) Little Rock’s temperature < Lincoln’s temperature

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

The answer would be C.

Little Rock's temperature is less than Lincoln's temperature.

66 < 82

Answer:

Domain: (0,1,23)

Range: (0.35,1.35,2.35)

Step-by-step explanation: The domain is the set of all the first components of the ordered pairs, and the range is the set of all the second components of the ordered pairs.

Lotion - Liquid

Suspension - semisolid

Capsule - solid

hope this helps: )

Answer:

1. This helps me to know if the answer of an opposite integer will be positive or negative by simply subtracting their absolute values then put the sign of the largest absolute value between the two.

2. By identifying first the largest absolute value of the two integers that are being add up. Without, calculations, i will know the sign of the sum.

3. the picture attached is the answer

Step-by-step explanation:

hope it will help you

Answer:

5.403×10⁶

Step-by-step explanation:

5.403×10⁶= 5004300

please mark me brainliest

9514 1404 393

Answer:

Step-by-step explanation:

The difference in ratio units is 5 - 4 = 1. The difference in actual quantity is 3, so 1 ratio unit must represent 3 students.

There are 5×3 = 15 boys.

There are 4×3 = 12 girls.

Answer:

$10.50

Step-by-step explanation:

Answer:

$10.50

Step-by-step explanation:

Just do 52.50 divided by 5 to find the amount she is paid per hour, and that’s 10.5. Meaning she gets paid $10.50 per hour.

Answer:

The range of values for the correlation coefficient is -1 to 1 inclusive

Step-by-step explanation:

Linear equations are represented by straight line.

The required graph is graph (a).

The given parameters are:

[tex]\mathbf{Rate =15}[/tex]

Let x represents the number of weeks, and y represents the number of words in week x.

So, we have:

[tex]\mathbf{y = Rate \times x}[/tex]

Substitute 15 for Rate

[tex]\mathbf{y = 15\times x}[/tex]

[tex]\mathbf{y = 15x}[/tex]

The above equation means that:

[tex]\mathbf{(x,y) = (0,0)(1,15),(2,30)....}[/tex]

The graph that represents the above ordered pair is graph (a).

Read more about graphs at:

https://brainly.com/question/20853486

Answer:

im lost

Step-by-step explanation:

;;..

Answer:

A Least Square Regression Line is the best thing to use for this because there is inconsistencies and no direct equation to be able to fill all of these points. They may be outliers and therefore we should use a calculator for a Regression Line to be calculated to find the residual.

Step-by-step explanation:

The intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²

Decibel level, dB = 10log₁₀(I/I₀) where dB = decibel level = 156, I = intensity at 156 dB and I₀ = 10⁻¹² W/m².

Since we require I, making I subject of the formula, we have

dB/10 = log₁₀(I/I₀)

[tex]\frac{I}{I_{0} } = 10^{\frac{dB}{10} } \\I = I_{0} 10^{\frac{dB}{10} }[/tex]

Substituting the values of the variables into the equation, we have

[tex]I = I_{0} 10^{\frac{dB}{10} }\\I = 10^{-12} 10^{\frac{156}{10} }\\I = 10^{-12} 10^{15.6}\\I = 10^{15.6-12} \\I = 10^{3.6} W/m^{2}[/tex]

I = 3981.072W/m²

I = 3.981 × 10³ W/m²

So, the intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²

Learn more about intensity of sound here:

https://brainly.com/question/4431819

Answer:

9000

Step-by-step explanation:

Step- by - Step Explanation:

Area of a circle=πr²

=3.14...×6²

=113.0973355292325

Approximately ≈113.1cm²

Please mark BRAINLIEST if I'm right.

Answer:

hey man i need a screenshot or something

Step-by-step explanation:

Answer:

dont understand

Step-by-step explanation:

Answer:

Georgia's brother  > 176 Ounces

Step-by-step explanation:

He weighed LESS THAN 11 pounds, which is equal to 176 ounces. He must have weighed 175 ounces or less.

Answer:

0<x<176

Step-by-step explanation:

Answer:

All the options are correct

Answer:

the answer based on the information provided is c + 8

Step-by-step explanation:

8 added to C is c + 8, since they are unlike terms

Your answer makes sense. Though I would recommend using a different variable for each dog at the kennel. Like D. But other than that you're good!

Answer:

your answer is 3/15

Step-by-step explanation:

if im wrong pls let me know