Which represents the solution(s) of the graphed system of equations, y = x² + x-2 and y=2x-2?Ky102-t4WoO (-2, 0) and (0, 1)2) and (1 012X

The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

The z-score for Brazil is given as follows:

Z = 0.87.

The z-score formula is defined as follows:

\(Z = \frac{X - \mu}{\sigma}\)

In which:

The parameters for this problem are given as follows:

\(X = 6.24, \mu = 4.8, \sigma = 1.66\)

Hence the z-score for Brazil is given as follows:

Z = (6.24 - 4.8)/1.66

Z = 0.87.

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Answer:

a) 2.09167

b) 0.2

c) 130 correspondents

d) 5.38 hours per day

e) 69%

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 2.98hrs/day, Standard Deviation = 2.4

a) What is the Z score for a person who watches more than 8 hrs/day.

z = 8 - 2.98/2.4

= 2.09167

b) What proportion of people watch 5 hrs/day or more television?

z = 5 - 2.98/2.4

z = 0.84167

Determining the Probabilityvalue from Z-Table:

P(x<5) = 0.80001

The proportion of people watch 5 hrs/day or more television

P(x>5) = 1 - P(x<5) = 0.19999

Approximately = 0.2

c) How many does this correspond to in the sample?

From the question above, we are told that: there are 650 GSS respondents in 2006 watched television

Hence the proportion that corresponds to Question b is

0.2 × 650

= 130 correspondents

Therefore, 130 correspondents watch 5 hrs a day or more television

d) What number of television hours per day corresponds to a Z = +1.

z score formula is given as:

z = (x-μ)/σ

Z = +1

x = unknown

Mean = 2.98

Standard deviation = 2.4

Hence:

1 = x - 2.98/2.4

Cross Multiply

1 × 2.4 = x - 2.98

2.4 = x - 2.98

2.4 + 2.98 + x

= 5.38 hours per day.

e)What is the percentage of people who watch between 1 and 6 hours of television per day?

For x = 1

z = 1 - 2.98/2.4

z = -0.825

Probability value from Z-Table:

P(x= 1) = 0.20469

For x = 6

z = 6 - 2.98/2.4

z = 1.25833

Probability value from Z-Table:

P(x = 6) = 0.89586

The percentage of people who watch between 1 and 6 hours of television per day is calculated as:

P(x = 6) - P(x = 1)

0.89586 - 0.20469

= 0.69117

Converting to percentage,

0.69117 × 100%

= 69.117%

To the nearest whole number = 69%

Therefore, 69% of the people who watch between 1 and 6 hours of television per day

Answer:

  (d)  -11

Step-by-step explanation:

Each of the functions is evaluated in the usual way: put the number where the variable is in the expression and simplify.

  h(-1) = -2(-1)² -3(-1) +1 = -2 +3 +1 = 2

  f(2) = (2(2) +7)/(2 -3) = 11/-1 = -11

Then f(h(-1)) is ...

  f(h(-1)) = f(2) = -11

Answer:

?

Step-by-step explanation:

The value of side length x (DF) in the triangle is 4.

The figures in the image is that of two similar triangle.

Triangle ABC is similar to triangle DEF.

From the diagram:

Leg 1 of the smaller triangle DE = 5

Leg 2 of the smaller triangle DF = x

Leg 1 of the larger triangle AB = 30

Leg 2 of the larger triangle AC = 24

To find the value of x, we take the ratio of the sides of the two triangle since they similar:

Hence:

Leg DE : Leg DF = Leg AB : Leg AC

Plug in the values:

5 : x = 30 : 24

5/x = 30/24

Cross multiplying, we get:

30x = 5 × 24

30x = 120

x = 120/30

x = 4

Therefore, the value of x is 4.

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Answer:

i think its 15

Step-by-step explanation:

add 3,4,5, and 3 and BOOM 15.

Answer:

a. y+7 1/2=x

s=5

Step-by-step explanation:

Solving the quadratic equation, it is found that it will take 8.5 seconds for the frisbee to hit the ground.

It is given by:

h(t) = -0.07t² + 0.007 + 5.

Which is a quadratic function with coefficients a = -0.07, b = 0.007, c = 5.

It hits the ground when h(t) = 0. Hence, the solution is found as follows.

\(\Delta = (0.007)^2 - 4(-0.07)(5) = 1.400049\)

\(x_1 = \frac{-0.007 + \sqrt{1.400049}}{2(-0.07)} = -8.4\)

\(x_2 = \frac{-0.007 - \sqrt{1.400049}}{2(=0.07)} = 8.5\)

It will take 8.5 seconds for the frisbee to hit the ground.

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The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

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Answer:

Answer:

2, 4, 8 would be your answer

Answer:

15 ft

Step-by-step explanation:

10 + 5 = 15 ft

Answer:

\(54\pi \: {cm}^{2} \)

Step-by-step explanation:

Given:

A cone

l = 15 cm

r (radius) = 3 cm

Find: A (surface area) - ?

\(a(surface) = \pi {r}^{2} + \pi \times r \times l\)

\(a(surface) = \pi \times {3}^{2} + \pi \times 3 \times 15 = 9\pi + 45\pi = 54\pi \: {cm}^{2} \)

Answer:

75c

Step-by-step explanation:

(50/200)×3=3/4=0.75

Answer:

the Letter A:x=6+3/10 jjjjjmk

\( \frac{ {3}^{9} }{ {3}^{9} } \\ = {3}^{9 - 9} \\ = {3}^{0} \\ = 1\)

Answers:

B. \( {3}^{0} \)

D. 1

Hope you could understand.

If you have any query, feel free to ask.

Answer:

x = - 2, y = 6

Step-by-step explanation:

y = - 3x

x + y = 4

Substitute y = - 3x in " x + y = 4 ",

x + y = 4

x - 3x = 4

- 2x = 4

x = 4 / - 2

x = - 2

Substitute x = - 2 in " y = - 3x ",

y = - 3x

= - 3 * ( - 2 )

y = 6

Therefore,

the value of,

x = - 2

y = 6

Hence, the system is solved.

a. The figure that has at least one line of symmetry is rectangle.

b. Another name for <XYZ in the figure is <Y.

A given straight line drawn from one edge to another edge of a figure in such a way that it divides a given figure into two equal parts with the same characteristics is known as the line of symmetry. Thus a given figure may have more than one line of symmetry, depending on the figure.

Considering the given figures in the question, we have;

ai. Rectangle: This is a quadrilateral in which opposite sides are equal and parallel. It has more than one line of symmetry.

ii. Right trapezoid: This is a trapezium in which one of its internal angles is a right angle. It has only one line of symmetry.

iii. Parallelogram: This is a quadrilateral in which the opposites are equal but slant, while the top and base are equal and not slant. It does not have a line of symmetry.

b. In the given figure, another name that can be given to <XYZ is <Y.

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"∠Y" is the answer of which you seek.

I want you guys to be able to answer your questions with assurance that my answer will work for you guys. I hope this helps you guys get 100% on that k12 diagnostic!

SCREENSHOT

The decreasing temperature of the parcel as it travels up the mountain, from 0–m to 1,000–m are;

20 °C, 25 °C, 30 °C

The Dry Adiabatic Lapse Rate is the rate of change in temperature air which is unsaturated as it moves towards or away from a surface.

The given temperature of the parcel at an elevation of 0 meters = 20 °C

The Dry Adiabatic lapse Rate, DAR = (5°C/ 500–m)

The temperature, T, of the parcel at 1000–m is found as follows;

Using the DAR of 5°C/500–m, we have;

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There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Answer:

its 40° because they're linear pairs

Step-by-step explanation:

both angle 1 and 3 are 40°

Answer:

The answer is 40°

Step-by-step explanation:

Angles that are opposite of each other are always equal.

The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

Problem 1

Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.

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Problem 2

Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.

Answer:

The answer is x = 5

Step-by-step explanation:

1) Remove parentheses.

\(x - 4 - 1\)

2) Add 4 to both sides.

\(x = 1 + 4\)

3) Simplify 1 + 4 to 5.

\(x = 5\)

Therefor, the answer is x = 5.

Answer:

X = 5

Step-by-step explanation:

This is an example of a basic algebraic equation! The explanation is below

\((x-4)=1\\x-4=1\\x-4+4=1+4\\x=5\)

Above, we simply removed the parenthesis, added four to both sides in order to cancel out "-4", and ended up with 5 = x. We know we are correct because 5 minus 4, really does equal one!

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The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.