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1 year ago

Which system is equivalent y=-2x^2 y=x-2

Mathematics

2 answers:

german1 year ago

7 0

The wording of your question suggests that there were answer choices. Mind sharing them?

The system y=-2x^2 y=x-2 would be best written as:

y=-2x^2
y=x-2 If you subst. x-2 for y in the first equation, you'll get:
x-2 = -2x^2, or 2x^2 + x - 2 = 0.

Travka [436]1 year ago

3 0

Answer:

Step-by-step explanation:

$y= -2x^{2}\\and\\y =x-2$

substituting y =x-2 in equation first we get

$y= -2x^{2}$

$(x-2)= -2x^{2}$

$2x^{2}+x-2=0$

solving it using quadratic formula we get

x =-1.281 and corresponding y =-3.281

for x =0.781 we have y =-1.219

more over we can graph both given and find the points of intersection from it.

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2 years ago

prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x^2 + y^2 = 5, i ha

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Step-by-step explanation:

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2 years ago

Read 2 more answers

The following data represent the length of life in

Natali [406]

Answer:

(a) For the stem-and-leaf plot, we need to organise all data in columns, one column is the stem and a second column is the leaf, but in this case, stems are going to be the digits to the left of the decimal point, and leafs are the digits to the right of the decimal point:

Stem Leaf

0 2 2 2 3 3 4 5 7

1 0 2 3 5 5 8

2 0 3 5

3 0 3

4 0 5 7

5 0 5 6 9

6 0 0 0 5

(b) Relative frequency distribution.

Remember that, a relative frequency is calculated dividing the absolute frequency by the total data, in this case, we approximated to the hundredth.

Length of life Absolute Frequency Relative Frequency % Relative Freq.

0.2 3 0.1 10

0.3 2 0.07 7

0.4 1 0.03 3

0.5 1 0.03 3

0.7 1 0.03 3

1.0 1 0.03 3

1.2 1 0.03 3

1.3 1 0.03 3

1.5 2 0.07 7

1.8 1 0.03 3

2.0 1 0.03 3

2.3 1 0.03 3

2.5 1 0.03 3

3.0 1 0.03 3

3.3 1 0.03 3

4.0 1 0.03 3

4.5 1 0.03 3

4.7 1 0.03 3

5.0 1 0.03 3

5.5 1 0.03 3

5.6 1 0.03 3

5.9 1 0.03 3

6.0 3 0.10 10

6.5 1 0.03 3

Total 30

(c)

To calculate the sample mean we need to sum all number, which results: 83.9. Then, we divide this result to the total 30, which result: 2.80.

The sample range is the difference between the highest and the lowest value: 6.5 - 0.2 = 6.3.

The sample standard deviation is calculated trough the following process:

Step 1: Subtract the mean from each number.

Step 2: Square each result.

Step 3: Add the squared deviations.

Step 4: Divide the sum by one less the total.

Step 5: Take the square root, and there you have it.

Doing this steps, the result is 2.22.

This last process is attached:

4 0

1 year ago

Harvey has “r” red peppers and one fourth as many orange peppers. Choose the expression that shows how many orange peppers Harve

lana [24]

Answer:

$\frac{1}{4}r$

Step-by-step explanation:

The amount of red pepper that Harvey has is r red peppers and one fourth as many orange peppers. What this means is that the number of orange pepper that Harvey has is one fourth the number of red peppers. Since the number of red pepper is r, therefore the number of orange pepper is given as:

Number of orange pepper = $\frac{1}{4} \ of\ red\ pepper(r)$