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4 years ago

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

Mathematics

1 answer:

lubasha [3.4K]4 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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Which polynomial is equivalent to (-2n+5)^2

Naddika [18.5K]

Answer:

4n^2-20n+25

Step-by-step explanation:

(-2n+5)^2

=4n^2-20n+25

3 0

3 years ago

Given N(14, 3)

bearhunter [10]

Answer:

Step-by-step explanation:

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = variable

µ = mean output

σ = standard deviation

From the information given,

µ = 14

σ = 3

1) P(x < 20)

For x = 20,

z = (20 - 14)/3 = 2

From the normal distribution table, the corresponding probability value is 0.98

% = 0.98 × 100 = 98%

2) P(11 ≤ x ≤ 17)

For x = 11,

z = (11 - 14)/3 = - 1

From the normal distribution table, the corresponding probability value is 0.16

For x = 17,

z = (17 - 14)/3 = 1

From the normal distribution table, the corresponding probability value is 0.84

P(11 ≤ x ≤ 17) = 0.84 - 0.16 = 0.68

% = 0.68 × 100 = 68%

3) P(x > 14) = 1 - P(x ≤ 14)

For x = 14,

z = (14 - 14)/3 = 0

From the normal distribution table, the corresponding probability value is 0.5

P(x > 14) = 1 - 0.5 = 0.5

% = 0.5 × 100 = 50%

4) P(5 ≤ x ≤ 17)

For x = 5,

z = (5 - 14)/3 = - 3

From the normal distribution table, the corresponding probability value is 0.00135

For x = 17,

z = (17 - 14)/3 = 1

From the normal distribution table, the corresponding probability value is 0.84

P(5 ≤ x ≤ 17) = 0.84 - 0.00135 = 0.839

% = 0.839 × 100 = 83.9%

7 0

4 years ago

Please help me out and find BOTH values of x and y

Montano1993 [528]

Answer:

y=37 x= 5or 4

Step-by-step explanation:

3 0

3 years ago

Triangle A B C has centroid G. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form

Helga [31]

Based on the calculations, the length of GF is equal to 26 units.

<h3>How to find the length of GF?</h3>

In Geometry, the centroid of any triangle always divides the lines in a ratio of 2:1. Thus, G divides line B F as follows:

2DG = BD

2(9x + 2) = 40

18x + 4 = 40

18x = 40 - 4

x = 36/18

x = 2.

Similarly, G divides line A F as follows:

2GF = A F

GF = A F/2

GF = (19x + 14)/2

GF = (19(2) + 14)/2

GF = 52/2

GF = 26 units.

Read more on centroid here: brainly.com/question/15015349

#SPJ1

3 0

2 years ago

Add the binomial (8a + 3) + (a + 2)

Juli2301 [7.4K]

Answer:

9a+5

Step-by-step explanation:

We add only like terms:

8a+a=9a

3+2=5

9a+5

So 9a+5 would be our final answer

3 0

3 years ago

Read 2 more answers