Any number that replaces a variable and makes the equation true is a set or a solution of the equation ?

Vlada [557]

17 / 6

2 5/6.

2 whole number 5/6.

3 0

3 years ago

a water balloon is tossed into the air with an upward velocity of 25 ft/s its height h(t) in ft after t seconds is given by the

Montano1993 [528]

When the height is 0 that is when it hits the ground
solve
0=-16t²+25x+3
cant factor so use quadratic formula

for
0=ax²+bx+c
$x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}$

so for
0=-16t²+25t+3
a=-16
b=25
c=3
so

$x=\frac{-25+/-\sqrt{25^2-4(-16)(3)}}{2(-16)}$
$x=\frac{-25+/-\frac{625+192}}{-32}$
$x=\frac{-25+/-\frac{817}}{-32}$
it has to be a positive time

so it will hit the ground after $\frac{25+\sqrt{817}}{32}$ seconds

4 0

3 years ago

Please help will give brainliest

garri49 [273]

Answer:

$b = 17$

Step-by-step explanation:

For this triangle we have to

$a=18.2\\B=62\°\\C=48\°$

We want to find the length of b

We know that the sum of the internal angles of a triangle is 180 °

So

$A + 62 +48=180\\\\A=180-62-48\\\\A=70\°$

Now we use the sine theorem to find the length of b:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Then:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(18.2)\frac{sin(62)}{sin(70)}\\\\b=17$

5 0

3 years ago

Determine the expression you can substitute for y in to solve the system below.

FromTheMoon [43]

Answer:

Step-by-step explanation:

given are the two following linear equations:

f(x) = y = 1 + .5x

f(x) = y = 11 - 2x

Graph the first equation by finding two data points. By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.

If x = 0, then f(0) = 1 + .5(0) = 1

If y = 0, then f(x) = 0 = 1 + .5x

-.5x = 1

x = -2

The resulting data points are (0,1) and (-2,0)

Graph the second equation by finding two data points. By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.

If x = 0, then f(0) = 11 - 2(0) = 11

If y = 0, then f(x) = 0 = 11 - 2x

2x = 11

x = 5.5

The resulting data points are (0,11) and (5.5,0)

At the point of intersection of the two equations x and y have the same values. From the graph these values can be read as x = 4 and y = 3.

6 0

3 years ago

Which situation below would represent a negative rate of change:

uranmaximum [27]

Answer: John's situation

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each situation.

John’s situation:

The amount of money that John has (y) is equal to his school account (40) minus the product of the number of days (x) and the amount he spends per day( 3)

y =40-3x

As days pass by, John has less money (negative rate of change)

Judy's situation

The amount of money that Judy has in her savings account (y) is equal to the product of the number of days (x) and the amount he saves per day (20/2)

y = x (20/2)

3 0

2 years ago