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Igoryamba
3 years ago
8

This is new stuff and looks way hard

Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0

Answer:

Step-by-step explanation:

A. 9p⁴q⁶

Because 3²=9, (p²)²=p⁴, and (q³)²=q⁶

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3x+9y=75<br>8x+5y=67 <br>what is x and y?
slava [35]

There are many ways to solve simultaneous linear equations. One of my favorite for finding integer solutions is graphing. The attached graph shows the solution to be ...

... (x, y) = (4, 7)

_____

You can also use Cramer's Rule, or the Vedic math variation of it, which tells you the solution to

ax+by=c\\dx+ey=f

is given by

x=\dfrac{bf-ec}{\Delta}\\\\y=\dfrac{cd-fa}{\Delta}\qquad\text{where $\Delta=bd-ea$}

Here, that means

... x = (9·67-5·75)/(9·8-5·3) = 228/57 = 4

... y = (75·8-67·3)/57 = 399/57 = 7

_____

A (graphing) calculator greatly facilitates either of these approaches.

8 0
3 years ago
Which shows a perfect square trinomial?
anastassius [24]
The answer is <span>c. 16x2 + 24xy + 9y2.

Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.

So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²

Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x

b² = 9y²
b² = (3y)²
b = 3y

a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT

d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x

b² = 10y²
b² = (y√10)²
b = y√10

a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT

So, c) is correct answer
8 0
3 years ago
Read 2 more answers
List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?
jolli1 [7]

value of x is: x=\frac{-31}{12}

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where f(x)=(\frac{1}{2})^2-3

and g(x) = 3x + 5

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}

So, value of x is: x=\frac{-31}{12}

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

Learn more about Composition of Functions at:

  • brainly.com/question/10772025
  • brainly.com/question/4939434
  • brainly.com/question/2723982
  • brainly.com/question/1774827

#learnwithBrainly

7 0
3 years ago
Write down the coordinates of the image of the point (2-3) under reflecting about the line joining the points (3, 5) and (3,7) ​
Murrr4er [49]

Answer:

(4 , -3)

Step-by-step explanation:

the points (3 , 5) and (3 , 7) ​have the same x-coordinates 3

then ,the line D joining them has the equation  

D : x = 3

the image of the point A(2 , -3) under reflecting about The line D ,

lie on the line ∆ perpendicular to D and passes through A.

∆ perpendicular to D then the equation of ∆ is :

∆ : y = a   ,where a is a real number.

Calculating ‘a’ :

∆ passes through A

Then

-3 = a

Therefore

the final equation of ∆ is :

∆ : y = -3

Obviously, the lines D and ∆ intersect at the point M(3 , -3)

FINAL STEP :

<u><em>Calculating the coordinates of the point B(x , y) image of the point A(2 , -3) </em></u>

M is the midpoint of the line segment AB :

Then

3 = (2 + x)/2 and -3 = (-3 + y)/2

Then

x = 4 and y = -3.

4 0
2 years ago
Terry has a savings account that pays 1.9% interest per year. Terry’s grandmother opened the account for him on his 10th birthda
noname [10]

Answer:

he will make 38 dollars by his 14th birthday

5 0
3 years ago
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