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3 years ago

I'm kinda stumped on this Solve -4x + x = - 9/4

Mathematics

1 answer:

Kitty [74]3 years ago

7 0

Answer:

x = 3/4

Step-by-step explanation:

It usually works well to collect terms first. (Add the coefficients of x.)

-4x +x = -9/4

(-4+1)x = -9/4

-3x = -9/4 . . . . . . equation with terms collected

Now, you can divide by the coefficient of x. Here, it can be useful to consider this to be the same as multiplying by the inverse of that coefficient, which inverse is -1/3.

(-1/3)(-3x) = (-1/3)(-9/4) . . . . . multiply both sides by -1/3

x = 3/4 . . . . . simplify

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the measure of one side of a square is (s + 3) inches long. which pair of expressions both represent the perimeter of this squar

Akimi4 [234]

An expression could be 4(s+3). Hope it helps! :)

4 0

3 years ago

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In a certain school,260 students were present on monday ,270 on tuesday,280 on wednesday,and 250 on thursday.find the average nu

Leona [35]

Answer:

There are an average of 265 students present.

Step-by-step explanation:

Count all the present student numbers together: 260 + 270 + 280 + 250 = 1060
Divide the sum of all the present student numbers by the number of days: 1060÷4=265 students present on average.

7 0

4 years ago

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How to solve #4 using substitution/ elimination method

kolezko [41]

3x+y = 4
x+y= 2 multiply all the elements of (x+y) by -1 & then add it up to the 1st equation
3x+y=4
-x-y =-2
----------
2x+0y =2 ==> x=2/2 =1 & replace x=1 by its value in any of the equation & you will get the value of y=1

2) 3x+y = 7
x+2y = 4
Follow the same methodology as before, but to eliminate y, multiply the 1st equation by (-2) and you will get x=2 & y=1

3 0

3 years ago

An evergreen nursery usually sells a certain shrub after 9 years of growth and shaping. The growth rate during those 9 years is

Volgvan

Answer:

(a) After t years, the height is

18t² + 3t + 10

(b) The shrubs are847 cm tall when they are sold.

Step-by-step explanation:

Given growth rate

dh/dt = 1.8t + 3

dh = (18t + 3)dt

Integrating this, we have

h = 18t² + 3t + C

When t = 0, h = 10cm

Then

10 = C

(a) h = 18t² + 3t + 10

(b) Because they are sold after every 9 years, then at t = 9

h = 18(9)² + 3(9) + 10

= 810 + 27 + 10

= 847 cm

3 0

3 years ago

A soccer ball is kicked toward the goal. the height of the ball is modeled by the function h(t) = −16t2 48t, where t equals the

mamaluj [8]

It takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.

<h3>What is the axis of symmetry?</h3>

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object.

1. The function is a parabola of the form . The the formula for the axis of symmetry of a parabola is . We can infer from our function that a= -16 and b = 48, so lets replace those values in our formula:

$x = \frac{-b}{2a}$

$x = \frac{(-48)}{-2(16)}$

$x = \frac{-48}{-32}$

x = 1.5

We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:

$-16t^{2} +48t = 0$

$-16t(t-3)=0$

t = 0, (t-3) = 0

t = 0, t = 3

From our previous point we know that the ball reaches its maximum time at , which means that it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.

To learn more about axis of symmetry from the given link:

brainly.com/question/9444537

#SPJ4

6 0

1 year ago