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Zolol [24]
3 years ago
11

Which Graph correctly solves the equation below? -1/2x^2 +2 = 2x^2 -8

Mathematics
1 answer:
lubasha [3.4K]3 years ago
6 0

Answer:

see attachment

Step-by-step explanation:

The given equation is

-  \frac{1}{2}  {x}^{2}  + 2 = 2 {x}^{2}  - 8

The graph of the left hand side of this equation is

y =  -  \frac{1}{2}{x}^{2}  + 2

This quadratic graph has its vertex at (0,2) and turns upside down.

The right hand side of the equation is

y = 2 {x}^{2}  - 8

This quadratic graph opens upwards and has its vertex at (0,-8).

The two graphs intersects at two points , which are (-2,0) and (2,0).

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Rudik [331]

Answer:

a=1/2b, 2a=b

Step-by-step explanation:

Since angle a is 1/2 the size of angle b, a=1/2b and b=2a. In order to get a numeral answer, you need the number of one of the angles.

7 0
2 years ago
Y=-x-3
nadya68 [22]

Answer: Heyaa! :)

  • <em>1. y=-x-3 = -1</em>

<em>Slope:  </em>−1

<em>y-intercept: </em>(0,−3)

  • <em>2. y=4x-5 =</em> 4

<em>Slope:</em> 4

<em>y-intercept: </em>(0,−5)

  • <em>3. 2x-y=-2 =</em> 2

<em>Slope:</em> 2

<em>y-intercept:</em> (0,2)

  • <em>4. x+y=4 =</em> 1

Slope: −1

<em>y-intercept:</em> (0,4)

  • <em>5. 3x+4y=-12 = - 3/4</em>

<em>Slope: </em>−3/4

<em>y-intercept: </em>

(0,−3)

Hopefully this helps<em> you!</em>

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4 0
2 years ago
In planning her retirement, Liza deposits some money at 2.5% interest, with twice as much deposited at 4.5%. Find the amount dep
Harlamova29_29 [7]

Let us assume $x is deposit at 2.5% interest.

At the rate 4.5% deposited amount is twice of the amount deposited at 2.5%.

Therefore, at the rate 4.5% deposited amount = $2x.

Total interest earned by both different deposited amount at the rate 2.5% and at the rate 4.5% = $1150.

We can setup an eqation now,

Interest earned on $x at 2.5% + interest earned on $2 at 4.5% = $1150.

2.5% of x + 4.5% of 2x = 1150

Percentage could be written in decimals by dividing by 100.

Therefore, 2.5% = 2.5 /100= 0.025 and 4.5% = 4.5/100 = 0.045.

We could rewrite above equation as,

0.025*x + 0.045 * 2x = 1150

0.025x + 0.09x =1150

Adding 0.025x + 0.09x, we get 0.115x.

So, 0.115x=1150.

Dividing both sides by 0.115.

0.115x/0.115=1150/0.115.

x= $1000.

2x= 2* 1000= $2000

Therefore,

$1000 deposited at 2.5% and $2000 deposited at 4.5%.



7 0
3 years ago
4 to the fourth negative power multiplied by four to the fifth power
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Simplify the following:4^5/4^4
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Where the points intersect should be the solution to systems of equations.
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