The number of students in high school has been increasing linearly since 1990. In 1997, there were 1125 students and in 2000, there were 1200 students.
Write an equation for the number of students as a function of the number of years since 1990.

Answer:

[tex] \frac{ \frac{2}{3} }{ \frac{ - 1}{2} } \\ = \frac{2}{3} \times \frac{ - 2}{1} \\ = \frac{ - 4}{3} \\ thank \: you[/tex]

Answer:

-4/3

Step-by-step explanation:

[tex]\frac{2}{3} /\frac{-1}{2} \\\\\frac{2}{3} *\frac{-2}{1} \\\\\frac{-4}{3}[/tex]

Answer:

In transformations a reflection across the x axis produces a mirror image.

Answer:

14.76482306

Step-by-step explanation:

distance equals the square root of (x2-x1)^2 + (y2-y1)^2.

think of your ordered pairs as set 1 and set 2. (-4, 6) would be set 1 and (3, -7) would be set 2. so your equation will look similar to: (3- -4)^2 + (-7-6)^2 then you square root the whole thing and you will have your answer.

Hi ;-)

200 = 16(6t - 3)

16 · 6t - 16 · 3 = 200

96t - 48 = 200  / + 48

96t = 248  / : 96

t = ²⁴⁸/₉₆ = ³¹/₁₂ = 2 ⁷/₁₂

The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given below.

200 = 16 (6t - 3)

Simplify the equation, then the value of the variable t will be

200 = 16 (6t - 3)

12.5 = 6t - 3

6t = 15.5

t = 2.58

The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

If there were only 100 students, there would be enough food for 3 days.

Step-by-step explanation:

Set up an equation:

Variable x = number of days

150/5 = 100/x

Cross multiply:

150 × x = 5 × 100

150x = 500

x = 3.3333...

Round down to a whole number which represents a full day of food.

x = 3

Answer:

Stationary points are (0, 5) and (4/3, 103/27)

Step-by-step explanation:

At stationary point (turning point), dy/dx :

[tex]y = {x}^{3} - 2 {x}^{2} + 5 \\ \frac{dy}{dx} = 3 {x}^{2} - 4x \\ \\ \frac{dy}{dx} = x(3x - 4)[/tex]

but dy/dx = 0:

[tex]x(3x - 4) = 0 \\ either \: x \: is \: 0 \: and \: (3x - 4) = 0 \\ x = 0 \\ and \\ 3x - 4 = 0 \\ x = \frac{4}{3} [/tex]

let y = x³ - 2x² + 5:

[tex]when \: x \: is \: 0 \\ y = 5 \\ when \: x \: is \: \frac{4}{3} \\ \\ y = {( \frac{4}{3}) }^{3} - 2 {( \frac{4}{3} )}^{2} + 5 \\ \\ y = \frac{103}{27} [/tex]

Answer:

Step-by-step explanation:

I THINK ITS THE 3ED TO THE RIGHT

Answer:

Answer is 6.8.

Hope it helps

Answer: 17

Hello,

Step-by-step explanation:

n is divisible by 4.

n +1 is divisible by 5

n + 2 is divisible by 6

n <1000

[tex]\left\{\begin{array}{ccc}n&=&4*k_1\\n+1&=&5*k_2\\n+2&=&6*k_3\\\end{array}\right.\\\\4*k_1+1=5k_2\Longrightarrow\ k_2=\dfrac{4k_1+1}{5} \Longrightarrow\ k_1=1+5*t\ , k_2=1+4*t\\\\4*k_1+2=6k_3\Longrightarrow\ k_3=\dfrac{4(1+5t)+2}{6} \Longrightarrow\ k_3=1+\dfrac{10*t}{3} \\\\\Longrightarrow\ t=3z\\k_3=1+10z\\n+2=6(1+10z)\\n=4+60z\\\\1000 < 4+60z \Longrightarrow\ z \leq 16\\[/tex]

There are 17: from 4+0*60=4 to 4+16*60=964.

Answer:

17

Step-by-step explanation:

these positive integers are :

4, 64, 124, 184 ... , 964

964 = 4 + (n-1) (60)

964 = 4 + 60n -60

964 = 60n -56

60n = 1020

n = 1020/60

n = 17

so, the number of special integers smaller than 1000 are = 17

Answer:

1922 = 2× 31 × 31

Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.

I hope this helped!

Answer:

It is (x - 2y)/xy

Step-by-step explanation:

[tex] \frac{1}{y} - \frac{2}{x} [/tex]

carry out LCM method:

LCM of y and x is xy

[tex] = \frac{x - 2y}{xy} [/tex]

Answer:

58.3

Explanation:

x is the depth that the scientist started at. The asked equation is

x + 23.9 = 82.2

To find x, all we have to do is reverse the equation by doing

82.2 - 23.9 = x

This gives us x = 58.3

Answer:

856.3

Step-by-step explanation:

Answer:

333  cubic meters of water are used each day by one person

Step-by-step explanation:

Answer:

It is 4y = -3x + 9

Step-by-step explanation:

[tex]3x + 5y - 4 = 0 \\ 5y = - 3x + 4 \\ y = - \frac{3}{4} x + 4[/tex]

since it is parallel, its slope, m is -¾

[tex]2x - 3y - 6 = 0 \\ - 3y = - 2x + 6 \\ y = \frac{2}{3} x - 2[/tex]

at x-intercept, y is zero

[tex]2 = \frac{2}{3} x \\ x = 3[/tex]

therefore

[tex]y = mx + c \\ 0 = ( - \frac{3}{4} \times 3) + c \\ c = \frac{9}{4} [/tex]

equation is

[tex]y = - \frac{3}{4} x + \frac{9}{4} \\ \\ 4y = - 3x + 9[/tex]

Answer:

2.56

Step-by-step explanation:

2 divided by 512

2 lol

Answer:

Q1. $2.56

Q2. 2 fluid ounces

Step-by-step explanation:

Q1. $5.12÷2=$2.56

Q2. 2 fluid ounces (inferred from qn)

Answer:

Step-by-step explanation:

f(x) = (x - 2)(x - 5)x(x+ 7)

f(x) = (x^2 - 7x + 10)*x * (x + 7)

f(x) = x(x^3 - 39x + 70)

f(x) = x^4 - 39x^2 + 70x

To show that this is correct, I've made a graph with these points labeled. The graph is just around the x axis. The local maximums and minimums are just too large a value.

Answer: shoot proofs

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

the Andrew's going to be 12 because you have to

know all the sides of cube

Answer:

408

Step-by-step explanation:

Surface area formula is A=2(wl+hl+hw)

Substituting these values into the formula you would get

2·(3·8+4·8+4·3)=136

136 accounts for one rectangular prism.

Since you have 3 multiply 136 by 3 which would leave you with 408

Answer:

280 in²

Step-by-step explanation:

The opposite faces are congruent , then surface area (SA ) is

SA = top/ base + front/ back + 2 sides

note for the front/ back and 2 sides we have 3 + 3 + 3 = 9 in

   SA  = 2(8 × 4) + 2(8 × 9) + 2(4 × 9)

         = 2 × 32 + 2 × 72 + 2 × 36

        = 64 + 144 + 72

      = 280 in²

Answer:

d

Step-by-step explanation:

Answer:

0.85 = 85%

Multiply 0.85 by 100 to get 85 percent

Answer:

(8 × 10 ^-3) (3.5× 10 ^2)

= 2.8 meters

Answer:

4

Step-by-step explanation:

6/12= .5

3.5≈4

Answer:

Convert to a decimal by dividing the numerator by the denominator.

$1.15 = Estimate.

pens per then .

Step-by-step explanation:

14 Divided 12.44

Answer:

-44f - 12

Step-by-step explanation:

Here's the method :

-10f - 6 (-9f + 2 )

-10f + 54f - 12

-44f - 12

Answer:

[tex]44f - 12[/tex]

Step-by-step explanation:

[tex] - 10f - 6( - 9f + 2)[/tex]

[tex] - 6( - 9 + 2)[/tex]

[tex] - 6 \times ( - 9f) - 6 \times 2[/tex]

[tex]6 \times 9f - 6 \times 2[/tex]

[tex]54f - 6 \times 2[/tex]

[tex]54f - 12[/tex]

[tex] - 10f + 54f[/tex]

[tex]( - 10 + 54)f[/tex]

[tex] = 44f - 12[/tex]

Answer:

Its minus 70 every time

Step-by-step explanation:

n=32

Answer:

it will take 36 months to completely pay the loan

Step-by-step explanation:

see that if the number of months paid is 1 and the amount owed is 2450 and that on number of months paid is 2 and then the amount owed is 2380

every month we have to substract 70

so we can make a pattern

0 months = 2520

1 month = 2450 that is 2520 - 70

2 months =  2380 that is 2520 - (2 × 70)

3 months = 2310 that is 2520 - (3 × 70)

.....

then it continues till n months

so

n months = 2520 - (n ×70)

n months = 2520 - (36 × 70)

36 months = 2520 - 2520