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Novosadov [1.4K]
3 years ago
5

NEED HELP PLEASE ALSO I NEED EXPLANATIONS TO THESE PROBLEMS I WILL MARK BRAINLIEST.

Mathematics
1 answer:
Molodets [167]3 years ago
3 0

Answer:

a) to determine how much Carl gets per hour, divide earnings by hours.

45 / 3 = 15

$15 per hour

b) Carl earns more per hour, because 15 is greater than 12.

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Use the identity (x2+y2)2=(x2−y2)2+(2xy)2 to determine the sum of the squares of two numbers if the difference of the squares of
fomenos

Answer:

The sum of the squares of two numbers whose difference of the squares of the numbers is 5 and the product of the numbers is 6 is <u>169</u>

Step-by-step explanation:

Given :  the difference of the squares of the numbers is 5 and the product of the numbers is 6.

We have to find the sum of the squares of two numbers whose difference and product is given using given identity,

(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2

Since, given the difference of the squares of the numbers is 5 that is (x^2-y^2)^2=5

And the product of the numbers is 6 that is xy=6

Using identity, we have,

(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2

Substitute, we have,

(x^2+y^2)^2=(5)^2+(2(6))^2

Simplify, we have,

(x^2+y^2)^2=25+144

(x^2+y^2)^2=169

Thus, the sum of the squares of two numbers whose difference of the squares of the numbers is 5 and the product of the numbers is 6 is 169

5 0
3 years ago
Read 2 more answers
Casey has 8 1/2 yards of fabric she uses 2 1/2 yards to make pillows and 3 yards to make curtains how much fabric is remaining
Oliga [24]

Answer:

3 yards

Step-by-step explanation:

8 1/2 - 2 1/2 = 6

6 - 3 = 3

Your answer is 3.

Please mark as brainliest.

8 0
3 years ago
F(x)=-x^2+8x+15 ...?
rusak2 [61]
Here i how I would do it:<span>f(x)=−<span>x2</span>+8x+15</span>
set f(x) = 0 to find the points at which the graph crosses the x-axis. So<span>−<span>x2</span>+8x+15=0</span>
multiply through by -1<span><span>x2</span>−8x−15=0</span> <span>(x−4<span>)2</span>−31=0</span> <span>x=4±<span>31<span>−−</span>√</span></span>
So these are the points at which the graph crosses the x-axis. To find the point where it crosses the y-axis, set x=0 in your original equation to get 15. Now because of the negative on the x^2, your graph will be an upside down parabola, going through<span>(0,15),(4−<span>31<span>−−</span>√</span>,0)and(4+<span>31<span>−−</span>√</span>,0)</span>
To find the coordinates of the maximum (it is maximum) of the graph, you take a look at the completed square method above. Since we multiplied through by -1, we need to multiply through by it again to get:<span>f(x)=31−(x−4<span>)2</span></span><span>
Now this is maximal when x=4, because x=4 causes -(x-4)^2 to vanish. So the coordinates of the maximum are (4,y). To find the y, simply substitute x=4 into the equation f(x) to give y = 31. So it agrees with the mighty Satellite: (4,31) is the vertex.</span>
8 0
3 years ago
I need help on my math homework I don't understand it.
maw [93]

Step-by-step explanation: do fast

when you will upload the picture do fast

8 0
3 years ago
Here is the other question i was gonna mention, Ace =.= i would put it in the comments but i dont want to deal with brainly bein
navik [9.2K]

Answer:

a.) 9, -9

b.) 2(sqrt)15, -2(sqrt)15

c.) 4, -2+2i(sqrt)3, -2-2i(sqrt)3

d.) 3(sqrt)75

(some of the numbers are placed differently than I wrote them so here are screenshots- pls look at them rather than what I wrote ;w;)

3 0
2 years ago
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