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Ksivusya [100]
3 years ago
13

Given this equation, what is the largest possible value for z?

Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0
Hello,
z=-2x²+15x-3y²+21y-6
=-2(x²-2*15/2*x+(15/2)²) -3(y²-2*7/2y+(7/2)²)-6+2*225/4+3*49/4
=-2(x-15/2)²-3(y-7/2)²+573/4

The max is for x-15/2=0 and y-7/2=0 thus 537/4

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A bicycle wheel makes 5 revolutions. Determine how far the bicycle travels in feet. The diameter of the wheel is 32in.
Mashutka [201]
It's 13 feet I believe 
4 0
3 years ago
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Camilla makes and sells jewelry. she has 8,160 silver beads and 2,880 black beads to make necklaces. Each necklace will contain
liubo4ka [24]
8160 dived by 85 equals 96, 2880 divided by 30 equals 96, therefore she can make 96 necklaces
7 0
3 years ago
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Please help, as soon as possible...
vodomira [7]

Answer:

1. a) Square

2. c) Rectangle

Step-by-step explanation:

1. If you cut this rectangular prism in way to be PERPENDICULAR to the base, that means you're cutting it straight down, from the top to the bottom, in a vertical line.  The cross-section obtained will be just like an end of the prism, which in this case is a square.  Because it's a regular rectangular prism, no matter where you cut it, as long as it's vertical, perpendicular to the base, you'll get a square due to this particular form.  Technically, the answer could also be a rectangle, since a square is a rectangle.

2.  you cut this rectangular prism in way to be PARALLEL to the base, that means you're cutting it straight, from the front to the back, in an horizontal line. The cross-section obtained will be just like an top of the prism, which in this case is a rectangle.  Because it's a regular rectangular prism, no matter where you cut it, as long as it's an horizontal line, parallel to the base, you'll get a rectangle due to this particular form.

6 0
3 years ago
A survey shows that 10% of the population is victimized by property crime each year. A random sample of 527 older citizens (65 y
jekas [21]

Answer:

The data provide sufficient evidence that older people are more likely to be victimized.

Step-by-step explanation:

H 0 : P = 0.10

H 1 : P > 0.10 (Right tailed test)

n = 527, P = 0.1235

The test statistics

x = P - p / \sqrt{p*(1-p) / n}

x = 0.1235 - 0.10 / \sqrt{0.10 * 0.90 / 527}

x = 0.0235 / \sqrt{0.09 / 527}

x = 0.0235 / \sqrt{0.00017077798}

x = 0.0235 / 0.0130682049264618

x = 1.798257689731729

x = 1.798

P value = [1 - p(Z > 1.7980] (Right tailed test)

P value = 0.036089

The P - Value is very small, so <u>reject H0</u>

Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.

7 0
3 years ago
Write the equation in slope intercept form. Then, match the equation with the correct graph.
Natasha_Volkova [10]

Answer:

Graph A:  y = (1/2)x - 2

Step-by-step explanation:

2x−4y=8 in slope-intercept form is -4y = -2x + 8, or y = 1/2x - 2

The slope of this line is 1/4 and the y-intercept is -2.  This is represented by Graph A.

5 0
2 years ago
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