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Gnom [1K]
3 years ago
5

Find the solutions for 32(x² + 4x)=16(x² + 4x + 3) .

Mathematics
1 answer:
ycow [4]3 years ago
8 0

Answer:

Simplify 32(x^2+4x)

32x^2+128x=16(x^2+4x+3)

simplify 16(x^2+4x+3)

32x^2+128x=16x^2+64x+48

subtract 16x^2 from both sides

subtract 64x from both sides

subtract 16x^2 and 32x^2

subtract 64x from 128x

x=−2+√7,−2−√7 answer

hope this helps :))

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Find the inverse of the following function​
KatRina [158]

f-¹(x)=\frac{2-7x}{x+2}

Answer:

Solution given:

f(x)=\frac{-2x+2}{x+7}

Let f(x)=y

y=\frac{-2x+2}{x+7}

Interchanging role of x and y

x=\frac{-2y+2}{y+7}

doing crisscrossed multiplication

x(y+7)=-2y+2

now solve it:

xy+7x=-2y+2

keep like terms in one side

xy+2y=2-7x

take common

y(x+2)=2-7x

make a value of y

y=\frac{2-7x}{x+2}

So,

f-¹(x)=\frac{2-7x}{x+2}

3 0
3 years ago
Read 2 more answers
Which of the following vectors are orthogonal to (1,5)? Check all that apply
Andre45 [30]
We know that
If the scalar product of two vectors<span> is zero, both vectors are </span><span>orthogonal

</span><span>A. (-2,5)
</span>(-2,5)*(1,5)-------> -2*1+5*5=23-----------> <span>are not orthogonal 

</span><span>B. (10,-2)
</span>(10,-2)*(1,5)-------> 10*1-2*5=0-----------> are  orthogonal 

<span>C. (-1,-5)
</span>(-1,-5)*(1,5)-------> -1*1-5*5=-26-----------> are not orthogonal 

<span>D. (-5,1)
</span>(-5,1)*(1,5)-------> -5*1+1*5=0-----------> are  orthogonal 

the answer is 
B. (10,-2) and D. (-5,1)  are  orthogonal  to  (1,5)
7 0
3 years ago
Point A is located at (-3, 9) and point B is located at (12,-10). Find the distance from point A to point B rounded to the neare
Nezavi [6.7K]

Answer:

20

Step-by-step explanation:

\sqrt{(( - 10) - 9)^{2}  + (12 - ( - 3)) ^{2} }

\sqrt{( - 19)^{2}  + (15)^{2} }

\sqrt{361 + 225}

\sqrt{586}

24.2074

7 0
2 years ago
The hour hand of a clock moves -15 degrees every hour how many degrees does it move in 1 1/4 hours
iren [92.7K]

Answer:

-18 3/4

Step-by-step explanation:

4 0
3 years ago
What is the complete square of y=x^2-16x+17
aliina [53]
Y = x^2 - 16x + 17
-16/2 = (-8)
(-8)^2 = 64
Add 64 and subtract 64
y = x^2 - 16x + 64 + 17 - 64
y = (x - 8)^2 - 47
7 0
3 years ago
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