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3 years ago

11

John is buying food at the grocery store. He has made a list of 90 items that he needs to buy. He has bought 1/6 of the items. H

ow many items has he bought?

1 answer:

Lynna [10]3 years ago

6 0

Answer:

15 is the correct answer

Step-by-step explanation:

because if you divide 90 by 6 its 15

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puteri [66]

Answer: C

Step-by-step explanation:

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2 years ago

You have decided to purchase a new Toyota 4Runner for $25,635. You have promised your daughter that the SUV will be hers when th

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Ok so our two variables will be:

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3 years ago

(a)5%)Let fx, y) = x^4 + y^4 - 4xy + 1. and classify each critical point Find all critical points of fx,y) as a local minimum, l

lara31 [8.8K]

$f(x,y)=x^4+y^4-4xy+1$

has critical points wherever the partial derivatives vanish:

$f_x=4x^3-4y=0\implies x^3=y$

$f_y=4y^3-4x=0\implies y^3=x$

Then

$x^3=y\implies x^9=x\implies x(x^8-1)=0\implies x=0\text{ or }x=\pm1$

If $x=0$ , then $y=0$ ; critical point at (0, 0)
If $x=1$ , then $y=1$ ; critical point at (1, 1)
If $x=-1$ , then $y=-1$ ; critical point at (-1, -1)

$f(x,y)$ has Hessian matrix

$H(x,y)=\begin{bmatrix}12x^2&-4\\-4&12y^2\end{bmatrix}$

with determinant

$\det H(x,y)=144x^2y^2-16$

At (0, 0), the Hessian determinant is -16, which indicates a saddle point.
At (1, 1), the determinant is 128, and $f_{xx}(1,1)=12$ , which indicates a local minimum.
At (-1, -1), the determinant is again 128, and $f_{xx}(-1,-1)=12$ , which indicates another local minimum.

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3 years ago

Find the length of “b”, to the<br> nearest tenth, using the<br> Pythagorean Theorem.

Tresset [83]

Answer: b= 11.2

10^2 + b^2 = 15^2

100 + b^2 = 225

b^2 = 125

b= $\sqrt{125}$

b= 11.2

Step-by-step explanation:

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3 years ago

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What’s the right answer?

galina1969 [7]

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

I am unable to read all of the options in the picture you provided but I hope this helps! (:

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3 years ago

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