Between which 2 whole numbers is the square root of 50?

Fiona wrote the linear equation y = 2/5 x – 5. When Henry wrote his equation, they discovered that his equation had all the same

Hoochie [10]

we have

$y=\frac{2}{5}x-5$

Let's Isolate the variable y in each of the cases and then compare with Fiona's equation to determine the solution of the problem

case A) $x-\frac{5}{4}y= \frac{25}{4}$

Multiply by $4$ both sides

$4x-5y= 25$

$5y=4x-25$

Divide by $5$ both sides

$y=\frac{4}{5}x-5$

therefore

the case A) is not equal to Fiona's equation

case B) $x-\frac{5}{2}y= \frac{25}{4}$

Multiply by $4$ both sides

$4x-10y= 25$

$10y=4x-25$

Divide by $10$ both sides

$y=\frac{2}{5}x-2.5$

therefore

the case B) is not equal to Fiona's equation

case C) $x-\frac{5}{4}y= \frac{25}{2}$

Multiply by $4$ both sides

$4x-5y= 50$

$5y=4x-50$

Divide by $5$ both sides

$y=\frac{4}{5}x-10$

therefore

the case C) is not equal to Fiona's equation

case D) $x-\frac{5}{2}y= \frac{25}{2}$

Multiply by $2$ both sides

$2x-5y= 25$

$5y=2x-25$

Divide by $5$ both sides

$y=\frac{2}{5}x-5$

therefore

the case D) is equal to Fiona's equation

the answer is

$x-\frac{5}{2}y= \frac{25}{2}$

7 0

3 years ago

Read 2 more answers

X2 + 4x - 9 = 5x + 3 O A. 4 O B. -3 O C. -7 O D. 5 E. -2 F-4

elena-14-01-66 [18.8K]

Answer:

${x}^{2} + 4x - 9 = 5x + 3 \\ {x }^{2} - x - 12 \\ {x}^{2} - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ x = 4 \: and - 3$

7 0

2 years ago

This equation x (x2 - 1) y"+ (1- x?) y' +9(2x - 2)y has a regular singular points at x =

KiRa [710]

Answer: the nots confused me y’ is that integral or what

Step-by-step explanation:

4 0

2 years ago

The Sanchez family drove 132 miles in 3 hours before lunch. Then they drove 240 miles in 5 hours after lunch.

lilavasa [31]

The formula for speed is the total distance traveled over time. We shall calculate the 2 speeds individually- before and after lunch. Afterwhich, we shall add them together and divide by 2 to get the average.
Before lunch s = 132 mi / 3 hr = 44 mi/hr
After lunch s = 240 mi / 5 hr = 48 mi/hr

Ave s= 48 + 44 / 2
Ave s= 46 mi/hr

Therefore the correct answer is A.

3 0

3 years ago

Micah is writing a function that models the height a dolphin reaches when it propels itself from underwater to the surface, leap

stepladder [879]

Answer:

The dolphin will be above the surface of the water for 2 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

The height of the dolphin after t seconds is given by:

$h(t) = -16t^2 + 96t - 128$

According to Micha's model, how long will the dolphin be above the surface of the water?

It stays above the surface of the water between the first and the second root. Initially, it is below water, when the first time for which $h(t) = 0$ it crosses the surface upwards, and then the second time for which $h(t) = 0$ it crosses the surface downwards.