Select the graph that can be used to find the solution(s) of the system of equations:
y = |x| – 3
y = –x2 + 9

Answer:0.02275

Normal distribution:

Which is symmetrical about mean.

Mean:

It is the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Complement rule:

When two disjoint sets are meant to occur then the sets are said to be complementary.

Given:

Mean= 0.4 seconds

Standard deviation= 0.005 seconds

Let, X be the reaction time for the driver to view stimulus.

So, distribution of X is given by:

X~ N( 0.4, 0.005)

Where σ= 0.05 and µ= 0.4

Solving this ques by using normal standard deviation and z score given as:

z=\frac{x-µ}{σ}

Applying formula:

P(X>0.5)= P{(x-µ/σ) > (0.5-µ/σ)} P {Z > (0.5-0.4/0.05)}

=P(Z > 2)

By using complement rule we get,

P(Z>2) = 1- P(Z<2)

Using normal standard table we have,

P(Z>2)=1- P(Z<2)

= 1- 0.97725

= 0.02275

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The probability that a reaction requires more than 0.5 seconds is 0.0227

Z-score standardization:

The amount of standard deviations the data point deviates from the mean is shown by the standardized z-score.

• If the z-score increases when it is higher than the mean (0).

• If the z-score is below the mean and takes a negative value (0).

Given that,

Mean = μ =0.4

Standard deviation = σ =0.005

The probability that a reaction requires more than 0.5 seconds is obtained by;

Let X denotes the reaction time of a driver which follows a normal distribution with a mean of 0.4 seconds and a standard deviation of 0.005 seconds.

P(X > 0.5) = 1 - P(X < 0.5)

                = 1 - P(0.4 < X < 0.5) (0.5 - 0.4/0.005)

                = 1 - P(25.06)  

                = 1 - P(252)

From the “standard normal table”, the area to the left of is 0.9773.

P(X > 0.5) = 1 - P(252)

                = 1 - 0.9773

                = 0.0227

Hence, the probability that a reaction requires more than 0.5 seconds is 0.0227

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Answer: The carpenter will spend $38.84

Step-by-step explanation:

8.5 feet of rope and the rope costs 4.57 per foot

8.5x4.57=38.845

Since half a cent does not exist we can get rid of the 5 at the end

Therefore the carpenter will have to spend $38.84

Unless you want to round it up, then it will be $38.85

The statement that best describes the relationship that is displayed by the scatter plot is: D. As the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.

A scatter plot is used to show the relationship between two variables that are different, whereby the trendline formed by each data point determines whether the relationship between the two variables is negative or positive.

If the trendline slopes upwards, it is positive, if it slopes downwards, it is negative.

If it is negative, it means as one variable increases, the other one decreases. On the other hand, if it is positive, it implies that as one variable increases, the other variables decreases.

The scatter plot given shows that the relationship between the distance of the attempt and success rate is negative. This implies that, as the distance of the attempt increases, the success rate decreases.

Therefore, the accurate description is: D. As the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.

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Answer:

D. as the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.

Step-by-step explanation:

The equation of the line that is perpendicular to y = 5 and that passes through the point (-7, -5) is x = -7.

We have to find the equation of a line that is perpendicular to y = 5 and that passes through the point (-7, -5).

y = 5 is a line that is parallel to the x-axis hence, the line perpendicular to it will be parallel to the y-axis.

Also, the line touches (-7,-5) hence, it will touch the line y = 5 at (-7,5).

Hence, the line perpendicular  to y = 5 and that passes through the point (-7, -5)  is x = -7.

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Answer:

Answer:table B represents the linear equation which is:[tex]y=-3x+11[/tex]The graph of the linear function is also attached below.Step-by-step explanation:Given the table B values x

The equation for the absolute value function is y = -2lx-4l + 2

An absolute value function is what?

A function that surrounds an algebraic expression in absolute value symbols is called as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value. The definition of the absolute value parent function is given as follows: f(x)=x if x>00 if x=0 if x0.

Y=a| x+h |+k is the form of the equation for an absolute value function. Also:

The graph's vertex is (h,k).

The range of the graph is y≥k for a>0 and its domain is a set of all real numbers.

The range of the graph is y≤k when a0, and its domain is a set of all real numbers.

X=h is the symmetry axis.

If a>0, it opens up; if a0, it opens down.

The graph of y=a| xh |+k can be created by translating the line graph y=| x | by h units horizontally and k units vertically.

If | a | 1 and if | a | >1, the graph of y=a| x | is wider than the graph of y=| x | and narrower.

So here (h,k)=(4,2)
range of y≤2

and its narrower so a≥1
hence the equation is y = -2 l x-4 l +2


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Answer:   0.4176 cups of flour

Step-by-step explanation: First you'll need to convert both amounts to the same denominator, using their LCM, which is 24. 1/3 x 8 = 8/24, 7/8 x 3 = 21/24. Then calculate what you need to multiply 21/24 with to get 24/24, 21/24 = 0.875   1.000- 0.875 = 0.125. Finally, multiply 1/3 by 0.125 which is 0.416... / 0.4167, so you'll need 0.4167 cups of flour, or 4,167/10,000 of a cup os flour.

Round 31.24 to 1 decimal place:

31.2

Answer:31.2

Step-by-step explanation:

you remove the 4 because it is less than 5.

Answer:

y = -5/3 - 3

Step-by-step explanation:

Since it's given a graph, we can use rise over run to figure it out

We pick 2 points that are integers on the graph , which means two points on the graph that the line goes through

Example- I picked (-3, 2) and (0, -3), you can indicate them so you don't forget or anything

We now draw a triangle formed by those two points (a line that goes from (-3, 2) to (-3, -3) and a line from (0, -3) to (-3, -3)

Rise (Which is the height of the triangle you just drew) is 5 units, but it's going down, so -5

The base (Run) is 3 units. Using rise/run, the slope is -5/3

The y-intercept, which is at the point where the graph crosses the y-axis, is -3.

The slope intercept form is y=mx+b, where m = slope and b = y-intercept, so the equation of the graph is y = -5/3x -3

Every game of skee ball game requires 2 tokens and every game of pin ball game require 4 tokens.

Given that,

Cindy and Irma visited an arcade where the games accepted tokens. Irma used 58 tokens in total while playing 9 games of skee ball and 10 games of pinball. Cindy used up 26 tokens playing 5 games of skee ball and 4 games of pinball concurrently.

We have to find how many tokens are needed for each game. How many tokens are required for each skee ball game.

Let us take the skee balls as x and the pin ball as y.

We get,

9x+10y=58---> equation (1)

5x+4y=26---> equation (2)

Multiply equation (1) with 5 and equation (2) with 9.

5(9x+10y=58)⇒45x+50y=290

9(5x+4y=26)⇒45x+36y=234

                     ------------------------          (subtracting those equation)

                       0+14y=56

14y=56

y=56/14

y=4

Substitute y=4 in equation(2)

5x+4y=26

5x+4(4)=26

5x+16=26

5x=26-16

5x=10

x=10/5

x=2

Therefore, Every game of skee ball game requires 2 tokens and every game of pin ball game require 4 tokens.

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The equation of line with a slope of -5 and which passes through point (-2, 8) is 5x + y = -2.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Point (-2,8)

First, we determine the y-intercept 'b'. Plug the coordinates and slope into the equation of line formula and solve for b.

y = mx + b

8 = (-5)(-2) + b

8 = 10 + b

b = 8 - 10

b = -2

Now, plug values of slope m and y-intercept b into y = mx + b to determine the equation of the line.

y = mx + b

y = (-5)x + (-2)

y = -5x - 2

Convert to standard form; Ax + Bx = C

y = -5x - 2

Reorder the equation

5x + y = - 2

Therefore, the equation of the line is 5x + y = - 2.

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The equation of the graph represented by the figure is f(x) = |x - 3| + 5

From the question, we have the following graph that can be used in our computation:

The graph is an absolute value graph

As a general rule, an absolute value is expressed as

y = |x - h| + k

In this case, the vertex is

Vertex = (h, k)

As a general rule, the vertex of a function is the minimum point on the graph

On the given graph, the minimum point is (3, 5)

This means that

(h, k) = (3, 5)

Substitute the values (h, k) = (3, 5) in the equation y = |x - h| + k

So, we have the following representation

y = |x - 3| + 5

Rewrite the equation as a function

f(x) = |x - 3| + 5

Hence, the equation is f(x) = |x - 3| + 5

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The total distance leon biked in miles that weekend is 19.5 miles.

The answer provided below has been developed in a clear step by step manner.

On Saturday, Leon biked 1.5 hours at a speed of 14.5 miles per hour that means distance =  14.5 * 1.5 = 21.75 miles

On Sunday, he biked 2.75 hours at a speed of 15 miles per hour that means distance =15 * 2.75 =41.25  miles

Distance = speed*time  use this formula

He farther did in sunday = 41.25 - 21.75 miles = 19.5 miles

Therefore, that weekend Leon rode his bike a total of 19.5 miles.

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Answer:

3

Step-by-step explanation:

The value of the operation is 3.

The first step is to solve for the terms in the brackets.

The decimals would be added first 8.7 + 3.3 = 12 

The second step is to determine the square of one-half² =  x  = 1/4 

The third step is to multiply, 1/4 by 12 1/4 x 12 = 3

Answer:

5

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

(-2)^2 + 4(-2) =

= 4 - 8 =

= -4

The two-column table to prove ∠ABC ≅ ∠DBE using the angle addition postulate is presented as follows;

Statements  [tex]{}[/tex]                                                  Reasons

1. ∠ABD is a right angle   [tex]{}[/tex]            1. Given

∠CBE is a right angle

2. ∠ABD are complementary  [tex]{}[/tex]    2. Definition of complementary angles

3. ∠CBE are complementary  [tex]{}[/tex]     3. Definition of complementary angles

4. ∠ABC ≅ ∠DBE   [tex]{}[/tex]                       4. Congruent complements theorem

The angle addition postulate states that the when two angles are placed side by side such that they share a common ray, the measure of the angle formed by the two angles is the sum of the measure of the individual angles.

∠ABD = ∠ABC + ∠CBD (angle addition postulate)

∠ABD = 90° (definition of right angle)

∠ABC + ∠CBD = 90° (substitution property of equality)

∠ABC and ∠CBD are complementary (definition of complementary)

Similarly

∠CBE = ∠CBD + ∠DBE (angle addition postulate)

∠CBE = 90° (definition of right angle)

∠CBD + ∠DBE = 90° (substitution property of equality)

∠CBD and ∠DBE are complementary (definition of complementary)

∠ABC is a complementary angle to ∠CBD and ∠DBE is a complementary angle to ∠CBD

Therefore;

∠ABC is congruent to ∠DBE (congruent complements theorem)

The congruent complement theorem states if an angle ∠A is a complement to an angle ∠C and if an angle ∠B is also a complement of angle ∠C then ∠A is congruent to ∠B.

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The angle ∠U is the largest in triangle ΔTUV. Then the largest side will be TV.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

In ΔTUV, m∠T = 58° and m∠U = 97°.

Then the third angle of the triangle will be given as,

∠T + ∠U + ∠V = 180°

58° + 97° + ∠V = 180°

155° + ∠V = 180°

∠V = 180° - 155°

∠V = 25°

In a triangle, the opposite angle of the largest side will be the largest one.

The angle ∠U is the largest in triangle ΔTUV. Then the largest side will be TV.

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Answer:

The answer is –3 < 1

Step-by-step explanation:

-3 is below zero. 1 is above zero. therefore, -3 less than 1

Answer:

40% = 0.40800 / 0.40 = 2000 total tickets were sold

Step-by-step explanation:

Answer:

648

Step-by-step explanation:

ans: 81/100 x800

       =648

The coordinates of x and y on the graph can not form a function.

x and y do not show any relationships.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates from the graph.

(2, 0)

(2, 1)

(-1, 2)

(1, 3)

(0, -1)

(2, -3)

(-1, -1)

(3, -2)

We can say that,

A function can not have one to many.

We have,

(2, 0), (2, 1), and (2, -3).

This means,

For x = 2, y = 0, 1, -3.

This is not possible.

Thus,

The coordinates of x and y on the graph can not form a function.

x and y do not show any relationships.

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The value of X for the given equation is X = 3/4.

A percentage is the equality of two ratios, while a ratio is the divisional comparison of two numbers. As well as being written as x: y or x/y, ratios are sometimes expressed as x is to y.

A proportional equation declares that two ratios are similar on a comparative basis. A ratio means that x is to y as z is to w and is represented as x: y: z: w. Since w and y are not equal in this situation, x/y = z/w.

The given equation is

1/2 : 2/3 = X:1

We can rewrite it as

(1/2)/ (2/3) = X

X = 1/2 × 3/2

X= 3/4

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That is one way to find out the answer

Answer:

The answer to this equation is (-1,1)

Answer: b)

Please give brainliest thx

Answer:

y = [tex]\frac{1}{6}[/tex] x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-9}{6-0}[/tex] = [tex]\frac{1}{6}[/tex]

the line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = [tex]\frac{1}{6}[/tex] x + 9 ← equation of line