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Stolb23 [73]
3 years ago
13

If g(x) = 1 - 3/4x, find g(0)

Mathematics
1 answer:
cricket20 [7]3 years ago
3 0

Answer:

4x - 3 / 4x

Step-by-step explanation:

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Help pls 6th grade math i will give brainliest
SCORPION-xisa [38]

Answer:

G because y+y+y is the exact same as 3 y

5 0
3 years ago
Read 2 more answers
Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:
ryzh [129]

First find the critical points of <em>f</em> :

f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7

\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1

\dfrac{\partial f}{\partial y}=6y=0\implies y=0

so the point (1, 0) is the only critical point, at which we have

f(1,0)=-7

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t

Find the critical points of <em>g</em> :

\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0

\implies\sin t=0\text{ OR }1+5\cos t=0

\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi

where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at

t=0\implies f(10,0)=155

t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299

t=\pi\implies f(-10,0)=235

t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299

So <em>f</em> has a minimum of -7 and a maximum of 299.

4 0
3 years ago
If the hypotenuse of a right triangle is 26 feet long and one leg is 14 feet longer than the other what is the length of the leg
EastWind [94]

Answer:

b ≈ 22

Step-by-step explanation:

a² + b² = c²

c² = 676

a² = 196

676 - 196 = 480

√480 ≈ 22


4 0
4 years ago
Allison is making fruit drinks for her friends.
Svetllana [295]

The number of cups of fruit Allison will need is = 4 ⅘ cups of fruits

<h3>Calculation of total quantity of fruits</h3>

The quantity of strawberries needed for each fruit drink= 3/5 cup

The quantity of blueberries needed for each fruit drink = 1/5 cup

Therefore the total quantity of fruits needed for each drink = 3/5 + 1/5

= 4/5

If 4/5 = 1 fruit drink

X = 6 fruit drinks

Make X the subject of formula,

X = 4/5 × 6

X = 24/5

X= 4 ⅘

Therefore, the number of cups of fruit Allison will need is = 4 ⅘ cups of fruits

Learn more about calculation of total quantity here:

brainly.com/question/13864606

7 0
2 years ago
Find the slope of the line through each pair of points <br> (3,-2),(-13,-8)
garik1379 [7]
M = 3/8. Is the answer
3 0
3 years ago
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