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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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The temperature in Newcastle in winter on a specific day 8°c. By midnight the temperature had dropped to by 12°c . Determine the
Oksi-84 [34.3K]

Answer:

-4 degrees c

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, 8-12=-4

So the answer is -4 degrees c

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

BTW, brainliest would be greatly appreciated, I only need one more before I advance, thanks!

4 0
3 years ago
Simplify 7^-5/6*7^-7/6
DochEvi [55]

So the rule with multiplying exponents of the same base is x^m*x^n=x^{m+n} . Apply this rule here:

7^{-\frac{5}{6}}*7^{-\frac{7}{6}}=7^{-\frac{5}{6}+{-\frac{7}{6}}}=7^{-\frac{12}{6}}=7^{-2}

Next, the rule with converting negative exponents into positive ones is x^{-m}=\frac{1}{x^m} . Apply this rule here:

7^{-2}=\frac{1}{7^2}=\frac{1}{49}

<u>Your final answer is 1/49.</u>

<h2>------------------------------------------------</h2>

So an additional rule when it comes to exponents is x^{\frac{m}{n}}=\sqrt[n]{x^m}

In this case, your fractional exponent, x^9/7, would be converted to \sqrt[7]{x^9} . However, I had just realized you can further expand this.

Remember the rule I had mentioned earlier about multiplying exponents of the same base? Well, you can apply it here:

\sqrt[7]{x^9}=\sqrt[7]{x^7*x^2}=x\sqrt[7]{x^2}

Your final answer would be x\sqrt[7]{x^2}

3 0
3 years ago
During gym class, Lenny, Lonnie, and Lainey measure the length of their long jumps. Lenny’s jump is ⅔ times the length of Lainey
Svetllana [295]

Answer: Lonnie’s Jump

Step-by-step explanation:

         (They just <em>had</em> to give three names that all started with L.)

         Since Lenny's jump is ⅔ times the length of Lainey’s, we can tell that Lenny's jump won't be the longest because it is already smaller than Lainey's.

         Since Lenny is now out of the picture, let us look at Lonnie and Lainey. Lonnie’s jump is 1 ⅓ times the length of Lainey’s. Since Lonnie's jump is longer than Laniey's, Lonnie's jump is the longest jump.

3 0
2 years ago
You and 4 of your friends want to make some soup for lunch each person would like to eat 1 1/3 cup soup how many cups of soup wi
Pavlova-9 [17]
Multiply the amount of people by the amount of cups they want


4*1 1/3=5 1/3
You would have to make 5 and 1/3 cups of soup

Hope this helps!
4 0
2 years ago
Read 2 more answers
Please help me 7th grade math operations with rational numbers
Katena32 [7]
1. Stock Market:
If a stock price decreased $2 per day for four days, then the total change in value of the stock is $8. (2 x 4)
Answer: $8.

2. Evaporation:
With the given information, we can infer that if 3 inches of water in a tank decreases each week, then 15 inches of water would decrease over the course of 5 weeks. (3 x 5)
Answer: 15 inches.

3. Football:
If a football team lost 9 yards on 3 consecutive plays, then the team's total change in position is 27 yards. (9 x 3)
Answer: 27 yards.

Hope this helps! Good luck.
5 0
2 years ago
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