Consider the open sentence 2x + 3___x^2 + 2^2 ( show all your work )

ioda

$6.060606- because in this situation she has $10 and the rate is $1.65 with no additional rate or fee.
So you would need to do 10/1.65 and round it down to find the whole or keep the decimals to get an exact answer
Answer:6.060606

5 0

3 years ago

A missile is launched from the ground. Its

Softa [21]

Answer:

The height of the missile in the air after 11 seconds is 330 feet.

Step-by-step explanation:

The standard form for the quadratic function f(x)= , which is the function of the parabola model.

We are given two points.

(1, 130) and (2, 240)

Here the first coordinate represents the x (time) and the second coordinate represents h(x), which is height.

Now plug these two coordinates and find the two equations.

(1, 130), the equation is

130 = a.(1)^2 + b(1) + c, where "c" is the initial height. Which is equal to zero.

Therefore, we get

130 = a + b + 0

a + b = 130 -------(1)

Now let's form the second equation using the coordinate (2, 240)

240 =

240 = 4a + 2b -------------(2)

Now let's solve the equations (1) and (2) and find the value of "a" and "b"

a + b = 130 can be written as a = 130 - b

Here we can use the substitution method.

Now plug in a = 130 - b in the second equation, we get

240 = 4(130 - b) + 2b

240 = 520 - 4b + 2b

240 = 520 - 2b

2b = 520 - 240

2b = 280

Dividing both sides by 2, we get

b = 140

Now plug in b = 140 in a = 130 -b and find the value of a

a = 130 - 140

a = -10

Now we got a = -10 and b = 140.

We plug in a = -10 and b = 140 in the general form, we gety

h(x) =

Where c is the initial height, which is equal to 0.

h(x) =

Now plug in x = 11 seconds and find the height.

h(11) = -10(11)^2 + 140 (11)

= -10 (121) + 1540

= - 1210 + 1540

h(11) = 330 feet,

Therefore, the height of the missile in the air after 11 seconds is 330 feet

3 0

2 years ago

Values for the area A of the rectangle shown are 12 ≤ A ≤ 36.

Step2247 [10]

A compound inequality is used to combined multiple inequalities.

The compound inequality is: $12 \le 6x \le 36$ .
The solution to the compound inequality is: $2 \le x \le 6$

We have:

$12 \le A \le 36$

$Length = 2x$

$Width = 3$

The area of the rectangle is:

$A = Length \times Width$

So, we have:

$A =2x \times 3$

$A = 6x$

Substitute 6x for A in $12 \le A \le 36$

$12 \le 6x \le 36$

Divide through by 6

$2 \le x \le 6$

Hence,

The compound inequality is: $12 \le 6x \le 36$ .
The solution to the compound inequality is: $2 \le x \le 6$

Read more about compound inequalities at:

brainly.com/question/17957246

4 0

2 years ago

Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. How many cups, x,

siniylev [52]

Answer:

18 cups.

Step-by-step explanation:

We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: $20\leq 1.50x-6.50$ .