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Elis [28]
3 years ago
13

If x + y = 7 and xy = 4, then find the value of x^2 + y^2.

Mathematics
2 answers:
Evgen [1.6K]3 years ago
6 0
X+y=7
xy=4

in xy=4, divide both sides by any variable (lets say i divide it y y)
xy=4
x=4/y
Now substitute it to the 1st equation
x+y=7
4/y+y=7
Multiply both sides by y
4+y^2=7y
Change to standard form
y^2-7y=4
Use the square of something...
y^2-7y+49/4=4+49/4
(y+7/2)^2=65/4
Squareroot both sides
y+7/2=posinega(sqrt of 65)/2
y=(sqrt of 65)/2-7/2
or y=-(sqrt of 65)/2-7/2
babunello [35]3 years ago
3 0

I don't know really how to do this stuff but I have learned in 7th grade and still working on it.

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Hi! Please help me, will mark brainliest!
PIT_PIT [208]

Answer:

p(t) = 0 for t = 1

p(t) = 1 for t = 1/8 = 8^-1

Step-by-step explanation:

the graph you will have to do yourself.

just go there and type in

-  log_{8}(x)

well, don't type "log" in letters.

you start by typing the "-" sign, and then you need to look up the functions by clicking on the "funcs" button and look for the log functions .

pick the

log_{a}

option. and then simply enter 8 as the first parameter in the {} brackets and x as the second in the () brackets.

and then you see.

any logarithm is 0 for x (or t) = 1.

because any a⁰ = 1.

and the logarithm gives you that exponent of the base number that leads to the given x value.

in other words : a logarithm is the inverse function of an exponential function.

the exponential function is

y = a^x

and the logarithm then determines

x =  log_{a}(y)

that is all.

and

-  log_{8}(x)  = 1

means that the logarithm itself delivered -1.

and 8^-1 = 1/8

so, p(t) = 1 for t = 1/8

5 0
2 years ago
The cost of one can of soda if 6 cans cost n
Arturiano [62]

Answer

if 6 cans cost n

1 can would cost n/6

Example

6 cans cost 12

1 can would cost 12/6

which is 2

8 0
2 years ago
Find the 7th term of a geometric sequence with t1 = 6 and r = 4.
Helen [10]

To solve for the 7th term of a geometric sequence with t1 = 6 and r = 4, we use the following equation:

<span>
a(n) = a(1) r^(n-1)
a7 = (6) 4^(7-1)
a7 = 24576</span>

Hope this answers the question. Have a nice day. Feel free to ask more questions.

8 0
3 years ago
Read 2 more answers
Find 5 rational numbers between 2/3 , 4/5​
iris [78.8K]

Answer:

0.67, 0.68, 0.69, 0.7, 0.71. (67/100, 68/100, 69/100, 70/100, 71/100)

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction.

2/3 is approximately equal to 0.66.

4/5 is equal to 0.8

Thus, we just need to find 5 numbers between 0.66 and 0.8.

Some numbers that you could use are: 0.67, 0.68, 0.69, 0.7, 0.71

Hope this helps :)

4 0
3 years ago
Read 2 more answers
1. Find the percent markup.
krek1111 [17]

\mathbb{ \ \underline{ \:  \:  ANSWER  : }}

1. Find the percent markup.

Markup ($) = percent markup (%) x original cost ($)

A computer store buys a laptop for $635 directly from the manufacturer (Dell). The markup is $570. What is the percent markup on the computer?

The percent markup is: <u> </u><u>90</u><u> </u>%

\mathbb{ \ \underline{ \:  \:  SOLUTION    : }}

FORMULA: Percent of Markup = Markup/Cost x 100

  • = $570/$635 x 100
  • = 0.90 x 100
  • = 90%

7 0
2 years ago
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