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san4es73 [151]
3 years ago
11

Evaluate y=-x^2-4 for x=-4

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
7 0

Solution, solve\:for\:y,\:y=-\left(-4\right)^2-4\quad :\quad y=-20

Steps:

y=-\left(-4\right)^2-4

\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even},\\\left(-4\right)^2=4^2,\\y=-4^2-4

4^2=16,\\y=-16-4

\mathrm{Subtract\:the\:numbers:}\:-16-4=-20,\\y=-20

\mathrm{The\:Correct\:Answer\:is\:y=-20}

\mathrm{Hope\:This\:Helps!!!}

\mathrm{-Austint1414}

lesantik [10]3 years ago
4 0

Answer:

y= -20

Step-by-step explanation:


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3.oooo divided by 16
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3/16? Please make this more clear

3/16 = 0.1875

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One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 183.0 milligrams of vitamin C.
uysha [10]

Answer:

Apple juice there are 95.9 mg

Orange juice there are 87.1 mg

Step-by-step explanation:

We can get a system of equations from the statement.

Let x be the amount of vitamin C in apple juice

Let y be the amount of vitamin C in orange juice

Now, with the statement we have to:

x + y = 183 (1)

2 * x + 3 * y = 453.1 (2)

We have an equation system, of 2 equations with 2 unknowns, that is, it has a solution.

If we multiply the first equation by 2 and subtract the second equation, we are left with:

2 * x + 3 * y - 2 * x - 2 * y = 453.1 - 2 * 183

Solving

y = 453.1 - 366

y = 87.1

Now to calculate x:

x + y = 183

x + 87.1 = 183

x = 183 - 87.1

x = 95.9

To check:

https://es.symbolab.com/solver/step-by-step/x%20%2B%20y%20%3D%20183%3B%202%5Ccdot%20x%20%2B%203%5Ccdot%20y%20%3D%20453.1

Therefore in apple juice there are 95.9 milligrams of vitamin C and in orange juice there are 87.1 milligrams.

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3 years ago
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How do I find the volume of a cone? Round to the nearest whole number.
Papessa [141]

Image is blurred, so I must assume that the radius of the base is 9 yd and that the height of the cone is 40 yd.


Volume of a cone formula: V = (1/3)(area of base)(height of cone)


Here, this volume is V = (1/3)(pi*81*40) yd^3, or V = 1080 pi yd^3.

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3 years ago
The function f(x)=x^2+4.2x+3.6 has an axis of symmetof x=-2-. What is the minimum value of the function
Pepsi [2]

ANSWER

The minimum value is -0.8

EXPLANATION

The given

f(x)=x^2+4.2x+3.6

The minimum value is the y-value of the vertex (minimum point).

To find the minimum value of the function, we substitute x=-2 into the function to get;

f( - 2)=( - 2)^2+4.2( - 2)+3.6

f( - 2)=4 - 8.4+3.6 =  - 0.8

The minimum value is -0.8

8 0
3 years ago
(a) Find parametric equations for the line through (1, 3, 8) that is perpendicular to the plane x − y + 4z = 3. (Use the paramet
tigry1 [53]

Answer:

a)    x = 1 + t

      y = 3 -  t

      z = 8 +2t

b)  In XY plane (-3,-1,0)

    In YZ  plane (0, 4,  6)

    In XZ plane ( 4,0,14)

Step-by-step explanation:

The equation of plane is given as

x -y +2z = 5

a)

COMPARE THE ABOVE EQUATION with Ax+ By +Cz = d

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N = (1,3,8) {GIVEN POINT]

the parametric eqn. of line P(Xo , Yo, Zo) and prependicular plan Ax+ By+ Cz = d is given as

X = Xo+ At

Y = Yo + Bt

Z=Zo + Ct

x = 1 + t

y = 3 -  t

z = 8 +2t

b) Line intersecting XY plane if z equal to zero i.e

0 = 8 +  2t

t =-4

for t = -4

x = -3, y = -1, z = 0

In YZ plane, x = 0

t = -1

interesting point will be

(0, 4,  6)

In XZ plane, Y =  0

t = 3

interesting point will be

(4, 0,  14)

8 0
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