10. You can model the population of a Florida town between the years 1980 and 2015 by
the function f(x) = 90,000(x – 1960), where x is the year. In what year did the town have a
population of 450,000?

Answer:

true

Step-by-step explanation:

x [tex]\geq[/tex] -3, when graphed, is a vertical line which crosses the x-axis at -3

The solution area is then shaded either to the left of that line or to the right

Look at the point (0, -2); the x-coordinate is zero, which is greater than -3

Therefore, if graphing, you would shade the area to the right of the line and every point contained in this area is a solution to x [tex]\geq[/tex] -3

Answer:

Yes

Step-by-step explanation:

The absolute value, or distance of -3.17 from 0, is 3.17 units. The distance from 0 will always be postiive, because you can never be -5 units away from zero.

Answer:r=2.5m+3.5

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Yes, because there is a constant rate of change. It is and will always be constantly increasing by 1.5.

To be a linear line you have to have a constant rate of change.

Answer:

a) We kindly invite you to read the explanation and check the image attached below for further details.

b) The rectangular equation is [tex]y = 3\cdot x^{2}-4[/tex].

Step-by-step explanation:

a) Let [tex]x = \sqrt{t}[/tex] and [tex]y = 3\cdot t -4[/tex] for [tex]t\in[0,4][/tex]. We proceed to graph the expression with the help of a graphing tool. In this case, the tool Desmos is used and the result is presented below.

b) The rectangular equation for the curve is:

[tex]t = x^{2}[/tex] (1)

[tex]y = 3\cdot t - 4[/tex] (2)

By applying (1) in (2), we get the following equation in rectangular form:

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

Answer:

2.5

Step-by-step explanation:

5 divided by 2= 2.5

Answer:

2.5

Step-by-step explanation:

Answer: [tex]\dfrac{K}{2}[/tex] .

Step-by-step explanation:

As we know ,

The slope of a line that passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]  is given by :

[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope of a line that passes through (1 , 7K), and (-3,5K)​ =

[tex]\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}[/tex]

Hence, the slope of the given line is [tex]\dfrac{K}{2}[/tex] .

Answer:

x=-19  x=30

Step-by-step explanation:

-5x-15=-3x+23

    -23      -23

-5x-38=-3x

+5x        +5x

-38=2x

/2       /2

-19=x

-107-7x=73-13x

-73         -73

-180-7x=-13x

      +7x   +7x

-180=-6x

30=x

Answer:

x÷3+10 (if x=15)

15÷3+10

5+10

15

Answer:

[tex]^8C_0=1[/tex]

Step-by-step explanation:

In this problem, we need to find the value of [tex]^8C_0[/tex].

The formula for the combination is given by :

[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

We have,

n = 8 and r = 0

[tex]C(8,0)=\dfrac{8!}{0!(8-0)!}\\\\=\dfrac{8!}{8!}\ (\because\ 0!=1)\\\\=1[/tex]

So, the value of [tex]^8C_0[/tex] is 1.

it must be the first one 1/2,1,1 1/2,2 are came in order it forms a straight line

Answer:

This table represents a function. none of the independent values (X) are repeated and each has only one corresponding depedent value (Y).The next table does not represent a function.The X column has two values that are 3, and they correspond to two different values for Y.

Answer:

i dont onderstand Thais

Answer:

1

Step-by-step explanation:

You have 5 jelly beans and 4 imaginary friends

You have to split the jellybeans between yourself and your pretend friends.

Each of you gets 1 jellybean

(Except you get all the jellybeans because your friends don't exist)

Hope this helps :)

Answer:

-3

Step-by-step explanation:

Just put that trust me

Answer:31.75 centimeters

Step-by-step explanation:

Answer:

the range is from 105 to 234

Step-by-step explanation:

Answer:

sureeeeeeeeeeeeeeeeee

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

it's actually 10 points

Answer:

i. $375

ii, $2875

Step-by-step explanation:

Given

Princinpal=  $2,500

rate= 7.5%

time= 2 years

Required,

The simple interest, and the final amount

Step two:

SI= PRT/100

SI= 2500*7.5*2/100

SI=37500/100

SI=$375

The simple interest is $375

And the final amount = $2,500 +$375= $2875

Answer:

how would you show work?

the answer is 0.252

Step-by-step explanation:

Answer:

0.252

__________________________________________________________

We have to evaluate the expression:

3.78/15

Evaluation:

We can multiply both the numerator and the denominator with the same number and that won't change the actual number since the number would cancel out

So, multiplying numerator and the denominator by 100

[tex]\frac{3.78 * 100}{15 * 100}[/tex]

[tex]\frac{378}{15 * 100}[/tex]

Since 15*25 is 375, we will rewrite the numerator as:

[tex]\frac{375 + 3}{15 * 100}[/tex]

Now, we can split it into 2 separate fractions:

[tex]\frac{375}{15 * 100}+\frac{3}{15 * 100}[/tex]

This new equation is the same as the one before as it can easily be changed to that

Since 15*25 is 375 and 3*5 is 15:

[tex]\frac{25}{100}+\frac{1}{5 * 100}[/tex]

Since 25*4 is 100:

[tex]\frac{1}{4}+\frac{1}{500}[/tex]

0.25 + 0.002

0.252

Hence, 3.78/15 is 0.252

Answer:

I'm pretty sure its the 3rd answer

Answer:C

Step-by-step explanation:

For every white square there is 3 blue squares, so you look around the white swuare and around each white square is 3 blue squares

4

Step-by-step explanation:

so the slope equation is y2-y1 over x2-x1 so by that logic 11-7 =4 and 4-3= 1 therefore it would equal all to 4 over 1 and by dividing that you get 4.

Answer:

44  3/16

Step-by-step explanation:

1414 ÷ 32 = 44.1875

[tex]44\frac{3}{16}[/tex] is 44.1875 as a mixed fraction.

Hope this helps!

If you need work let me know!

Answer:

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x-y=-4\\ 3x+y=-1\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}2x-y=-4\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:6x-3y=-12[/tex]

[tex]\mathrm{Multiply\:}3x+y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+2y=-2[/tex]

[tex]\begin{bmatrix}6x-3y=-12\\ 6x+2y=-2\end{bmatrix}[/tex]

[tex]6x+2y=-2[/tex]

[tex]-[/tex]

[tex]\underline{6x-3y=-12}[/tex]

[tex]5y=10[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}6x-3y=-12\\ 5y=10\end{bmatrix}[/tex]

solving 5y = 10 for y

[tex]5y=10[/tex]

Divide both sides by 5

[tex]\frac{5y}{5}=\frac{10}{5}[/tex]

simplify

[tex]y=2[/tex]

[tex]\mathrm{For\:}6x-3y=-12\mathrm{\:plug\:in\:}y=2[/tex]

[tex]6x-3\cdot \:2=-12[/tex]

[tex]6x-6=-12[/tex]

Adding 6 to both sides

[tex]6x-6+6=-12+6[/tex]

[tex]6x=-6[/tex]

Divide both sides by 6

[tex]\frac{6x}{6}=\frac{-6}{6}[/tex]

[tex]x=-1[/tex]

Therefore, the solution to the system of equations be:

[tex]x=-1,\:y=2[/tex]

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Answer:

4.15

Step-by-step explanation:

Answer:

1 4 6 8 Have a good night ✨ ☺

Answer:

Step-by-step explanation:

Where is Ac leath

Answer:

26 cm

Step-by-step explanation:

just use Pythagoras theorem

c2 = a2 + b2

c2 = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]

c2 = 100 + 576

c2 = 676

shift the square to the other side and it becomes a square root

c = [tex]\sqrt{676}[/tex]

c = 26

AC = 26 cm.

Answer:

thousand is the correct answer :)))