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timama [110]
3 years ago
9

A tax cut ________ aggregate demand and ________. A. decreases; shifts the AD curve leftward B. decreases; shifts the AD curve r

ightward C. does not change; does not shift the AD curve D. increases; shifts the AD curve leftward E. increases; shifts the AD curve rightward

Mathematics
1 answer:
aksik [14]3 years ago
5 0

Answer:

E. increases; shifts the AD curve rightward

Step-by-step explanation:

Tax cut means lower tax income tax rates, that mean individuals will have more of their income, that is more money to spend leading to increase in aggregate demand. This will lead to a rise (increase) in the aggregate demand curve which implies rightward movement.

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write an equation of a line in slope intercept form that passes through the point (-4,1) and has a slope of -3
RSB [31]

Answer:

y+3x+11=0

Step-by-step explanation:

m=-3, x1=-4, y1=1

from m=y-y1/x-x1

-3=y-1/x-(-4)

-3(x+4)=y-1

-3x-12+1=y

y=-3x-11

y+3x+11=0

6 0
3 years ago
What is the answer to this equation? 2(9+x) = -5(4-x)
photoshop1234 [79]

Answer:

Hi!

Alrighty here we go:

2(9+x)=-5(4-x)

18+2x=-20+5x

Now combine like terms

+20+18+2x=-20+20+5x

38+2x=5x

38+2x-2x=5x-2x

38=3x

x= 38/3

Hope this helped!

8 0
2 years ago
Write an equation of the hyperbola given that the center is at (2, -3), the vertices are at (2, 3) and (2, - 9), and the foci ar
zavuch27 [327]
Check the picture below.

so, the hyperbola looks like so, clearly a = 6 from the traverse axis, and the "c" distance from the center to a focus has to be from -3±c, as aforementioned above, the tell-tale is that part, therefore, we can see that c = 2√(10).

because the hyperbola opens vertically, the fraction with the positive sign will be the one with the "y" in it, like you see it in the picture, so without further adieu,

\bf \textit{hyperbolas, vertical traverse axis }
\\\\
\cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1
\qquad 
\begin{cases}
center\ ( h, k)\\
vertices\ ( h,  k\pm a)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{ a ^2 + b ^2}\\
asymptotes\quad  y= k\pm \cfrac{a}{b}(x- h)
\end{cases}\\\\
-------------------------------

\bf \begin{cases}
h=2\\
k=-3\\
a=6\\
c=2\sqrt{10}
\end{cases}\implies \cfrac{[y- (-3)]^2}{ 6^2}-\cfrac{(x- 2)^2}{ b^2}=1
\\\\\\
\cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ b^2}=1
\\\\\\
c^2=a^2+b^2\implies (2\sqrt{10})^2=6^2+b^2\implies 2^2(\sqrt{10})^2=36+b^2
\\\\\\
4(10)=36+b^2\implies 40=36+b^2\implies 4=b^2
\\\\\\
\sqrt{4}=b\implies 2=b\\\\
-------------------------------\\\\
\cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ 2^2}=1\implies \cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ 4}=1

3 0
2 years ago
What is the equation?​
elena-s [515]

Answer:

  cost = 1.35n

  $33.75 for 25 songs

Step-by-step explanation:

Based on the numbers given, the cost is proportional to the number of songs downloaded. The constant of proportionality is the cost of one song: 1.35.

  cost = 1.35n

For 25 songs, ...

  cost = 1.35·25 = 33.75 . . . . dollars

__

The equation is ...

  cost = 1.35n

5 0
3 years ago
Below is a proof showing that the sum of a rational number and an irrational number is an irrational number.
ankoles [38]

Answer:

Step-by-step explanation:

To prove: The sum of a rational number and an irrational number is an irrational number.

Proof: Assume that a + b = x and that x is rational.

Then b = x – a = x + (–a).

Now, x + (–a) is rational because addition of  two rational numbers is rational (Additivity property).

However, it was stated that b is an irrational number. This is a contradiction.

Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.

Hence,  the sum of a rational number and an irrational number is irrational.

4 0
3 years ago
Read 2 more answers
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