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3 years ago

13

212.809 to round to the nearest whole number

1 answer:

Elodia [21]3 years ago

8 0

Answer:

213

I hope this helps!

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If f(x) = 4x+3, find f-1 (x)

Trava [24]

Answer: x=1/4y + -3/4

Step-by-step explanation:

8 0

3 years ago

What is the y-coordinate of the solution for the system of equations? x−y=−11 y+7=−2x

ICE Princess25 [194]

Answer:

$y= 5$

Step-by-step explanation:

Given the system of equations:

$x-y=-11$

$y+7=-2x$

In order to find the y coordinate of the solution we must first find the solution to this system of equations. We first start by solving one of the given equations and then substitute the answer of that into the second equation and further solve to get the final answers.

$x=y=-11$

$y+7=-2x$

$y+7=-2x$

$+ -7$

$y = -2x - 7$

$x - y = -11$

$y = -2x-7$

$x-(-2x-7)=-11$

$x--2x=x+2x=3x$

$3x+7=-11$

$-7$

$-11+-7=-18$

$3x=-18$

$\div3$

$-18\div3=-6$

$x=-6$

$y=-2x-7$

$y=(-2)(-6)-7$

$-2\times-6=12-7=5$

$y=5$

Hope this helps.

7 0

2 years ago

What number needs to be added to both sides of the equation to complete the square? X^2−7x=5 Enter your answers in the boxes.

Andrew [12]

ANSWER

We need to add half the coefficient of $x$ all square.

$\frac{49}{4}$

EXPLANATION

Given the equation,

$x^{2} -7x=5$ .

We compare to the general equation,

$ax^2+bx+c=0$

This means that;

$a=1,b=-7,c=-5$

To complete the square we add, $(\frac{b}{2})^2$

That is $(\frac{-7}{2})^2=\frac{49}{4}$ .

Hence the number to be added to both sides is $\frac{49}{4}$ .

Note that before we complete the square, the coefficient of the term in $x^2$ must always be 1.

7 0

3 years ago

A worker on a scaffolding 75 ft above the ground needs to lift a 500 lb bucket of cement from the ground to a point 30 ft above

Lemur [1.5K]

Answer:

W = 15900 ft.lb

Step-by-step explanation:

From the given information.

Consider y to be the distance from the ground towards the bucket of the cement.

At height y, suppose the bucket is lifted by Δy.

Then, the workdone can be = 500Δy + 0.5(75 - y) Δy

where;

The bucket of the cement = 500Δy

The remaining of the rope = 0.5(75 - y) Δy

However; the workdone (W) can be calculated as:

$W = \int^{30}_{0} \ 500 \ dy + \int^{30}_{0} \ 0.5 (75-y ) \ dy$

$W = 500 \times 30 + 0.5 \bigg(75 \times 30 - \dfrac{1}{2} \times 30^2 \bigg )$

W = 15000 + 0.5 ( 2250 - 450)

W = 15000 + 900

W = 15900 ft.lb

6 0

3 years ago

Triangle Inequality TheoremDetermine if a triangle can be formed with the given lengths. If so, classify the triangle by its ang

frozen [14]

Given:-

$7,20,12$

To find:-

Wheather the given sides form a valid triangle.

So now let,

$A=7,B=20,C=12$

To check we use the condition,

$A+B>C,B+C>A,C+A>B$

Substituting the values we get,

$7+20>12,20+12>7,12+7>20$

In the above condition 12+7>20 is wrong.

So the condition fails and the given sides doesnt form a triangle.

3 0

2 years ago