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Arturiano [62]
2 years ago
7

Can someone please solve this

Mathematics
1 answer:
I am Lyosha [343]2 years ago
6 0

Answer:

5/4

Step-by-step explanation:

y increases by 5 for every 4 increase of x.

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Write a rule to describe each transformation
Annette [7]

Answer:

  (x, y) → (1.5x, 1.5y)

Step-by-step explanation:

Each of the image coordinates is 1.5 times the corresponding pre-image coordinate. The transformation is a dilation by a factor of 1.5 about the origin.

Some authors use a notation like D(1.5,O) to indicate the transformation. I like the one shown above, or ...

  (x, y) → 1.5(x, y)

4 0
3 years ago
Solve this identifying holes, vertical asymptotes, and horizontal asymptotes for
USPshnik [31]

x^2+7x+12=x^2+4x+3x+12=x(x+4)+3(x+4)=(x+4)(x+3)\\\\-x^2-3x+4=-(x^2+3x-4)=-(x^2+4x-x-4)\\\\=-[x(x+4)-1(x+4)]=-(x+4)(x-1)\\\\f(x)=\dfrac{x^2+7x+12}{-x^2-3x+4}=\dfrac{(x+4)(x+3)}{-(x+4)(x-1)}\\\\\text{Vertical asymptotes:}\\\\(x+4)(x-1)=0\iff x+4=0\ \vee\ x-1=0\\\\\boxed{x=-4\ and\ x=1}\\\\\text{Horizontal asymptotes:}

\lim\limits_{x\to\pm\infty}\dfrac{x^2+7x+12}{-x^2-3x+4}=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(1+\dfrac{7}{x}+\dfrac{12}{x^2}\right)}{x^2\left(-1-\dfrac{3}{x}+\dfrac{4}{x^2}\right)}=\dfrac{1}{-1}=-1\\\\\boxed{y=-1}

6 0
3 years ago
Suppose y varies directly with x. If y = –20 when x = 2, find y when x = 14
Natasha_Volkova [10]

Answer:

y = -140

Step-by-step explanation:

Y varies directly with x

y = kx

We know y = -20 when x =2, we can solve for k

-20 = k*2

Divide each side by 2

-20/2= 2k/2

-10 =k

y = -10x

Now we want to find y when x = 14

y = -10 *14

y = -140

3 0
3 years ago
Read 2 more answers
What is X for? x+20=35-4x
Helen [10]
X+4x=35-20. 5x=35-20. 5x=15. X=3
4 0
3 years ago
Read 2 more answers
A brother and sister share out their collection of 5000 stamps in the
yaroslaw [1]

Answer:

1875

Step-by-step explanation:

After sharing in the ratio 5:3, the brother has

5000/(5+3) x 5 = 3125

Next, he shares with his friend in the ratio 3:1:1, thus

3125/(3+1+1) x 3 = 1875

7 0
3 years ago
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