Person A was born on January 15, 1948. Person B was born on January 15, 1962. If both are alive now, in what year was person A twice as old as person B?

Hi there!  

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I believe your answer is:  

Option B: [tex]y=-5x-6[/tex]

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Here’s why:  

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[tex]\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}[/tex]

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We are given the information of:

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[tex]\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}[/tex]

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Option B should be the correct answer.

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

x - 8>-4-x

Step-by-step explanation:

Looking at x - 8>-4-x

Collect the like terms;

x+x > -4 + 8

2x < 4

x > 4/2

x < 2

Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4

Answer:

1,439.97

Step-by-step explanation:

Price x 1.07 = price including sales tax

price x 1.07=1540.77

price=1540.77/1.07

price= 1439.97

The price of the microscope before the sales tax was added when calculated is; $1439.97

We are told that Charlene paid $1540.77 (including sales tax) for a microscope. Thus, the price before sales tax can be gotten from the formula;

Price before sales tax × 1.07 = Price including sales tax

Thus, plugging in the relevant values;

Price before sales tax × 1.07 = 1540.77

Price before sales tax = 1540.77/1.07

Price before sales tax = $1439.97

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Answer:

b. DC = 29 and DE = 44.5

Step-by-step explanation:

Given:

AB = 29

BD = 89

Required:

DC and DE

Solution:

✔️DC = AB (opposite sides of a parallelogram are equal)

Therefore,

DC = 29 (Substitution)

✔️DE = half of diagonal BD (Diagonals of a parallelogram bisect each other)

DE = ½(89)

DE = 44.5

Answer:

The roots for [tex]f(x) = \cos 4x - 4\cdot x^{2} + 9\cdot x[/tex] are [tex]x_{1} = -0.098[/tex] and [tex]x_{2} = 2.166[/tex], respectively.

Step-by-step explanation:

A root is a value of [tex]x[/tex] so that [tex]f(x) = 0[/tex]. Let suppose that function is the consequence of the subtraction between two functions, that is:

[tex]f(x) = g(x) - h(x)[/tex] (1)

If we know that [tex]f(x) = 0[/tex], [tex]g(x) = \cos 4 x[/tex] and [tex]h(x) = 4\cdot x^{2}-9\cdot x[/tex], then we have the following identity:

[tex]g(x) = h(x)[/tex]

We can estimate graphically the roots of [tex]f(x)[/tex] by graphing the following system:

[tex]y = \cos 4x[/tex] (2)

[tex]y = 4\cdot x^{2}-9\cdot x[/tex] (3)

Where roots are the points in which functions find each other.

With the help of a graphing, we estimate two solutions:

[tex](x_{1}, y_{1}) = (-0.098, 0.924)[/tex], [tex](x_{2}, y_{2}) = (2.166, -0.725)[/tex]

Use the slope formula below:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.

[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]

We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.

[tex] \large \boxed{y = mx + b}[/tex]

The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.

[tex] \large{y = - \frac{7}{6} x + b}[/tex]

Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:

[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]

Answer

Hope this helps and let me know if you have any doubts! Good luck on your assignment!

Answer:

The rate of change is of of the area when the radius is 4 centimeters [tex]48\pi[/tex] square centimeters.

Step-by-step explanation:

Area of a circle:

The area of a circle of radius r is given by:

[tex]A = \pi r^2[/tex]

Implicit derivative:

To solve this question, we have to derivate implictly the equation as a function of t. Thus:

[tex]\frac{dA}{dt} = 2\pi r \frac{dr}{dt}[/tex]

The radius of a circle is increasing at a rate of 6 centimeters per minute.

This means that [tex]\frac{dr}{dt} = 6[/tex]

Find the rate of change of the area when the radius is 4 centimeters.

This is [tex]\frac{dA}{dt}[/tex] when [tex]r = 4[/tex]. Thus

[tex]\frac{dA}{dt} = 2\pi r \frac{dr}{dt} = 2\pi(4)(6) = 48\pi[/tex]

The rate of change is of of the area when the radius is 4 centimeters [tex]48\pi[/tex] square centimeters.

Answer:

Step-by-step explanation:

i don’t know

Answer:

No choices listed.

Step-by-step explanation:

9514 1404 393

Answer:

  40

Step-by-step explanation:

The "initial value" is the value when x=0.

  [tex]f(x)=\dfrac{800}{1+19e^{-0.402x}}\\\\f(0) =\dfrac{800}{1+19e^0}=\dfrac{800}{1+19}=\dfrac{800}{20}\\\\=\boxed{40}[/tex]

The initial value is 40.

Question: What is the solution to 2x^2+8x=x^2-16?

Answer: x=-4 is what I got I'm not sure if u meant to put one of the 4's as -4 but yeah I got -4 and did it twice and got -4 again. Hope that helped.

Answer:

10

Step-by-step explanation:

Answer:

12 times

Step-by-step explanation:

Earth-Moon (EM) = 12⁵ miles

Sun-Mercury (SM) = 12⁷ miles

Sun-Jupiter (SJ) = 12⁸ miles

just FYI, these numbers are only a rough simplification for this example. the real distance are quite a bit different.

so, SJ/SM = 12⁸ / 12⁷ = 12¹ = 12

=> Jupiter is 12 times farther away from the Sun than Mercury.

12 times greater is the distance from the Sun to Jupiter than the distance from the Sun to Mercury.

Distance is the total movement of an object without any regard to direction.

Given:

Earth-Moon = 12⁵ miles

Sun-Mercury = 12⁷ miles

Sun-Jupiter = 12⁸ miles

so,

Sun-Jupiter/Sun-Mercury

= 12⁸ / 12⁷

= 12¹

= 12

Hence, Jupiter is 12 times farther away from the Sun than Mercury.

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Solution :

Given the average range of the holes drilled = 0.10 cm

The average diameter of the holes drilled = 0.25 cm

The sample size = 4

For the sample size of 4, the factor for control limit for the range ([tex]D_4[/tex]) = 2.28  (From the table of constants for X-bar and R-chart)

The upper control limit for the R-chart = R-bar x [tex]D_4[/tex]

                                                                = 0.10 x 2.28

                                                                = 0.228

Therefore, the answer is greater than 0.202 but less than or equal to 0.302

Answer:

[tex]4(3x)^{\frac{3}{2} }[/tex]

Step-by-step explanation:

Answer:

C(s) = total cost function

$5,500 base price to rent trucks

$250 per ton of sugar to be transported

Total Cost = Price per ton of sugar * # of tons + total cost to rent trucks

C(s) = $250s + $5,500

For 14 tons of sugar the total cost would be:

C(s) = $250(14 tons) + $5,500

C(s) = $9,000

Total cost to transport 14 tons of sugar would cost $9,000

Answer:

25.12 cm

Step-by-step explanation:

circumference= 2pi*r

3.14x8x2= 50.24

50.24/2= 25.12 cm

Or you could have just done 3.14 x8 which equals 25.12 as well

Answer:

The minimum is 59/12

Step-by-step explanation:

you should calculate the -b/2a = -7/6

you should put -7/6 in the x variable

Step-by-step explanation:

4x+11+8x+1=180 (the two angles given is supplementary angles)

11x+12= 180

11x=168

x=168/11

x=15.27

please give brainly if it helps

Answer:

x = 14

Step-by-step explanation:

Same side interior angles are supplementary.

Therefore ,

              ( 4x + 11)° + ( 8x + 1 )° = 180 °

                  4x + 11 + 8x + 1 = 180

                       12x + 12 = 180

                        12x = 180 - 12

                             12x = 168

                                 x = 14

Answer:

Jason - 9.375 miles per hour

Kevin -7.875 miles per hour

Step-by-step explanation:

Let Jason’s running speed be x miles per hour

Kevin runs 1.5 miles per hour less;

so his running speed will be (x-1.5) miles per hour

At any point, distance = speed * time

Their running time is same here;

Jason’s running time will be 5/x

Kevin’s running time will be 4.2/(x-1.5)

These times are equal;

So;

5/x = 4.2/(x-1.5)

5(x-1.5) = 4.2x

5x - 7.5 = 4.2x

5x-4.2x = 7.5

0.8x = 7.5

x = 7.5/0.8

x = 9.375 miles per hour

So kevin’s speed will be 9.375 - 1.5 = 7.875 miles per hour

Answer:

Step-by-step explanation:

angle 1 is a central angle because the vertex is at the center of the circle and the central angles have same measure as the arc it inscribes, so

arc AB =30 °

Answer:

60

Step-by-step explanation:

Answer:

log(4).

Step-by-step explanation:

By the law of logarithms:

log(8) - log(2)

= log(8/2)

= log(4).

Answer:

15

Step-by-step explanation:

If you want to convert Oz to lb then divide by 16

240/16

15

Answer: 5.5. if you divide you will clearly see it is 5.5 so D

Step-by-step explanation:

Answer:

Total Cost = 29x + 0.32y

Step-by-step explanation:

It is 29x since you pay $29 per day, and x represents the number of days.

It is 0.32y since you pay $0.32 per mile, and y represents the number of miles.