Gavin drank nine 8 ounce glasses of water today. How many quarts of water did he drink

Here's some of the info

~Evelyn has the greater mean.

~Evelyn’s objects generally landed farther away from the center than Robin’s.
~The object is to get the objects close to the center, so Robin is winning.

5 0

2 years ago

Read 2 more answers

A dolphin is 42 feet underwater and ascends at a constant rate for 14 seconds until it reaches the surface. Identify and interpr

Cloud [144]

Ok so, based on the graph lets say that x = seconds and y = depth of dolphin. the interception in both points is when they are at 0 i.e when x is equals 0 and y equals 0. So At 0 seconds, the dolphin is 42 feet below the surface. So we say that x = 0, y = -42 and then the y intercepts = -42 so the point of interception is(0 (seconds),-42(depth of the dolphin)) When the clock says it's 14 seconds, the dolphin is even with the surface (0 below the surface this time). So we say that x = 14, y = 0. In this case The x intercept = 14 (14,0). But we need to calculate The slope with the formula= (y2 - y1)/(x2 - x1) = 42/14 = 3. Therefore, the formula for this line is y = 3x - 42.

3 0

2 years ago

The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What

inn [45]

x2-16x+48=0 Two solutions were found : x = 12 x = 4

Step by step solution :Step 1 :Trying to factor by splitting the middle term

1.1 Factoring x2-16x+48

The first term is, x2 its coefficient is 1 .
The middle term is, -16x its coefficient is -16 .
The last term, "the constant", is +48 

Step-1 : Multiply the coefficient of the first term by the constant 1 • 48 = 48

Step-2 : Find two factors of 48 whose sum equals the coefficient of the middle term, which is -16 .

-48 + -1 = -49 -24 + -2 = -26 -16 + -3 = -19 -12 + -4 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and -4
 x2 - 12x - 4x - 48

Step-4 : Add up the first 2 terms, pulling out like factors :
 x • (x-12)
 Add up the last 2 terms, pulling out common factors :
 4 • (x-12)
Step-5 : Add up the four terms of step 4 :
 (x-4) • (x-12)
 Which is the desired factorization

Equation at the end of step 1 : (x - 4) • (x - 12) = 0 Step 2 :Theory - Roots of a product :

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2 Solve : x-4 = 0

Add 4 to both sides of the equation :
 x = 4

Solving a Single Variable Equation :

2.3 Solve : x-12 = 0

Add 12 to both sides of the equation :
 x = 12

Supplement : Solving Quadratic Equation DirectlySolving x2-16x+48 = 0 directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex :

3.1 Find the Vertex of y = x2-16x+48

5 0

2 years ago

Read 2 more answers