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4 years ago

How do work this out

Mathematics

1 answer:

BabaBlast [244]4 years ago

6 0

We can factor this by using grouping. Take the leading coefficient and multiply it by the constant. In this case we get 5*-7 = -35.

Now we need 2 numbers that add to 2 and multiply to be -35. The numbers are -5 and 7.

So split the 2r into these two terms and group.

(5r^2 - 5r) + (7r - 7)

Factor both groups.

5r(r-1) + 7(r-1)

The factors of (r-1) can be added together to get the answer.

(r-1)(5r+7)

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1) You will begin by writing down the definition of "monetary policy."

stepan [7]

It should be noted that monetary policy simply means the policy that's adopted by the monetary authority in a country in order to control interest rates and the money supply.

<h3>Monetary policy.</h3>

Your information is unclear but the clear and complete ones will be answered appropriately. The main monetary policies include the reserve requirement, open market operations, discount rate, and the interest on reserves.

It should be noted that a larger money supply leads to the reduction of the market interest rates. This makes it less expensive for consumers to borrow.

Also, a smaller money supply raises the market interest rates. Expansionary monetary policy leads to an increase in the money supply. This will lead to an increase in expenditure and therefore, the aggregate demand will shift to the right.

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3 years ago

Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each

Paul [167]

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

Two lines are parallel if their slopes are equivalent.
Two lines are perpendicular if their slopes are negative reciprocals of each other.
And two lines are neither if neither of the two cases above apply.

So, let's find the slope of each equation.

The first basketball is modeled by:

$\displaystyle 3x+4y=12$

We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:

$4y=-3x+12$

And divide both sides by four:

$\displaystyle y=-\frac{3}{4}x+3$

So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

$-6x-8y=24$

Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:

$-8y=6x+24$

And divide both sides by negative eight:

$\displaystyle y=-\frac{3}{4}x-3$

So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

3 0

2 years ago

The diameter of a sphere is 6 ft. Find the exact volume of the sphere.

OleMash [197]

Answer:

V ≈ 113.1ft³

Step-by-step explanation:

the answer is V ≈ 113.1ft³.

I hope this helps you.

6 0

3 years ago

Read 2 more answers

Make w the subject of the relation p=2 (k+w)

ICE Princess25 [194]

Answer:

hope that will help you

3 0

3 years ago

Read 2 more answers

Which equation represents exponential decay? * a y=3^x-4 b y=2(4)^x c y=1/2(3)^x d: y=6(1/3)^x

yuradex [85]

The equation which represents exponential decay is y= $6(1/3)^{x}$

Given four equations : 1)y= $3^{x} -4$ , 2) y= $2(4)^{x}$ , 3) y= $3^{x}/2$ , 4) y= $6(1/3)^{x}$ .

Equation is relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. Exponential equation look like $a^{x}$ .

Decay means when x value increases ,the y value decreases.

We haveto put 3 values for x in the equations to check.

1)y= $3^{x} -4$

put x=0,y=-3

put x=1, y=-1

put x=2, y=5

No,itdoes not represents exponential decay.

2) y=2 $4^{x}$

put x=0,y=2

put x=1, y=8

put x=2, y=32

No,it does not represents exponential decay.

3) y= $3^{x}/2$

put x=0,y=0.5

put x=1, y=1.5

put x=2, y=4.5

No,it does not represents exponential decay.

4)y=6 $(1/3)^{x}$

put x=0,y=6

put x=1, y=2

put x=2, y=0.67

Yes ,it represents exponential decay.

Hence the equation which represents exponential decay is y=6 $(1/3)^{x}$ .

Learn more about equations at brainly.com/question/2972832

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4 0

2 years ago