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maxonik [38]
3 years ago
10

Kara and her friends have $17 to spend at a pizza parlor.they would like to buy large pizza which costs $12 and then add as many

toppings as possible if each topping (t) cost 50cents,which inequality describes the maximum number of toppings that the group can purchase?
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
6 0

Answer:

10

Step-by-step explanation:

(12 + x0.5) <= 17

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Help please<br> :)))) ))))))))
motikmotik

Answer:

a) {3,6,9}

Step-by-step explanation:

multiples of 3=3,6,9

multiples of 2=2,4,6,8,10

b) a n b = {6}

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2 years ago
How much warmer is `82°\{F}` than `-40°\{F}`?
Semmy [17]

Answer:

124 degrees warmer

Step-by-step explanation:

i think

8 0
2 years ago
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What is the equation of the line in slope-intercept form?
andreev551 [17]

Answer:

10x + 4y is the correct answer

8 0
2 years ago
Find the absolute maximum and absolute minimum values of the function f(x, y) = x 2 + y 2 − x 2 y + 7 on the set d = {(x, y) : |
dsp73

Looks like f(x,y)=x^2+y^2-x^2y+7.

f_x=2x-2xy=0\implies2x(1-y)=0\implies x=0\text{ or }y=1

f_y=2y-x^2=0\implies2y=x^2

  • If x=0, then y=0 - critical point at (0, 0).
  • If y=1, then x=\pm\sqrt2 - two critical points at (-\sqrt2,1) and (\sqrt2,1)

The latter two critical points occur outside of D since |\pm\sqrt2|>1 so we ignore those points.

The Hessian matrix for this function is

H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}2-2y&-2x\\-2x&2\end{bmatrix}

The value of its determinant at (0, 0) is \det H(0,0)=4>0, which means a minimum occurs at the point, and we have f(0,0)=7.

Now consider each boundary:

  • If x=1, then

f(1,y)=8-y+y^2=\left(y-\dfrac12\right)^2+\dfrac{31}4

which has 3 extreme values over the interval -1\le y\le1 of 31/4 = 7.75 at the point (1, 1/2); 8 at (1, 1); and 10 at (1, -1).

  • If x=-1, then

f(-1,y)=8-y+y^2

and we get the same extrema as in the previous case: 8 at (-1, 1), and 10 at (-1, -1).

  • If y=1, then

f(x,1)=8

which doesn't tell us about anything we don't already know (namely that 8 is an extreme value).

  • If y=-1, then

f(x,-1)=2x^2+8

which has 3 extreme values, but the previous cases already include them.

Hence f(x,y) has absolute maxima of 10 at the points (1, -1) and (-1, -1) and an absolute minimum of 0 at (0, 0).

3 0
3 years ago
F(x)=-(x+2)^2+3 put in standard form
Natasha_Volkova [10]

Answer:

F(x)=-x^2-4x-1

Step-by-step explanation:

According to PEMDAS, do the exponent part for the parentheses, sense it goes first.

F(x)= -(x^2+4x+4)+3

Then distribute the - sign

F(x)= -x^2-4x-4+3

Then you simplify

F(x)= -x^2-4x-1

8 0
2 years ago
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