Find the x intercepts. Show all possible solutions.

The values of the constants m and c include the following:

m = -1.3

c = 7.1

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;

2 = -7m + c    ...equation 1.

-11 = 3m + c    ...equation 2.

By solving the system of equations simultaneously, we have:

2 = -7m - 3m - 11

11 + 2 = -10m

13 = -10m

m = -1.3

c = 7m + 2

c = 7(-1.3) + 2

c = -7.1

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Answer:

O a piece of a line with two endpoints

Step-by-step explanation:

O a piece of a line with two endpoints

A piece of a line with two endpoints.

In geometry, a line segment is a part of a line this is bounded by distinct end points and includes every point on the line this is between its endpoints.

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We will see that the probabilities are:

First, the probability of getting a particular color of marker is given by the quotient between the number of markers of that color and the total number of markers

There are:

9 red markers.

5 blue markers.

14 yellow markers

8 green markers.

For a total of: 9 + 5 + 14 + 8 = 36.

a) P(yellow, then red)

First, the probability of getting a yellow marker is:

p = 14/36.

Then the probability of getting a red marker (notice that now there are 35 markers in total) is:

q = 9/35.

Then the joint probability is:

P(yellow, then red) = p*q = ( 14/36)*(9/35) = 0.1

b) P(blue, then green)

First, the probability of getting a blue marker is:

p = 5/36.

After, the probability of getting a green marker is:

q = 8/35.

So the joint probability is:

P(blue, then green) = (5/36)*(8/35) = 0.03

c) P(both red).

First, the probability of getting a red marker is:

p = 9/36

Now there are 8 red markers and 35 markers in total, so the probability of getting another red marker is:

q = 8/35

The joint probability is:

P(both red) = (9/36)*(8/35) = 0.06

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Answer: Yellow Greed

Step-by-step explanation: Maths

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

7t/5^3 + 5t^2 + 4t^3

Step-by-step explanation:

Answer: 16 ounce sports drink

Step-by-step explanation:

Calculate cost per ounce for both sizes.

12 ounce sports drink:

$0.99 / 12 ounces = $0.0825 per ounce

16 ounce sports drink:

$1.19 / 16 ounces = $0.074375 per ounce

Therefore, the 16 ounce sports drink is a better but because it is cheaper per ounce.

The area of the blue-shaded region is 19.95 m²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,

Using the Pythagoras theorem,

15.5² = 14²+w² [width]

w² = 240.25-196

w² = 44.25

w = 6.65

Therefore, the width of the rectangle is 6.65 m

That mean, the height of the parallelogram is 6.65 m,

The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,

Area of the remaining region = 14×6.65-11×6.65

= 6.65(14-11) = 6.65×3

= 19.95 m²

Hence, the area of the blue-shaded region is 19.95 m²

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Step-by-step explanation:

Let's solve the given questions step by step:

1. Determine the equation of f:

From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:

f(x) = a(x + p)^2 + q

Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:

4 = a(1 + p)^2 + q

This gives us one equation involving a, p, and q.

2. Determine the equation of g:

The equation of g is given as g(x) = 0.3x + p1.

3. Determine the coordinates of the x-intercept of g:

The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.

Setting g(x) = 0, we can solve for x:

0 = 0.3x + p1

-0.3x = p1

x = -p1/0.3

Therefore, the x-intercept of g is (-p1/0.3, 0).

4. For which values of x will f(x) ≥ g(x)?

To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.

f(x) = a(x + p)^2 + q

g(x) = 0.3x + p1

We need to find the values of x for which f(x) ≥ g(x):

a(x + p)^2 + q ≥ 0.3x + p1

Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.

To summarize:

We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).

Answer:

Mathematics has helped organize patterns and consistencies in the world because one must know that there is always mathematics in almost everything in this world. An example is an arrangement or grouping that repeats.

Hope it helps! ^-^

ASAP stands for "as soon as possible". It is often used when something needs to be done quickly or urgently. When someone says "ASAP someone please help", it means that they need help immediately and cannot wait any longer.

If you find yourself in this situation, the first step is to identify the problem and determine what needs to be done. Once you have a clear understanding of the situation, you can then reach out to someone who can help you. It's important to be specific when asking for help. Provide as much information as possible so that the person you are asking can understand the situation and offer the best possible assistance.

In summary, there is no shame in asking for help. It's better to reach out for assistance when you need it rather than struggle on your own. Don't hesitate to ask for help when you need it, and always be grateful to those who offer their assistance.

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Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

The function is continuous in the domain x ≥ 3/4

Here we have a root function:

f(x) = ⁴√(4x - 3)

This is an even degree root function, so we have problems when the argument is negative.

Then the allowed values (where the function is defined, and thus, continuous) are:

4x - 3 ≥ 0

4x ≥ 3

x ≥ 3/4

There the function is continuous.

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Answer:

b

Step-by-step explanation:

The p- value for the given significant figure and test statistic z score is equal to 0.2251.

As given in the question,

Probability of a test on the basis of true negative for certain cancer is given significantly more than 0.72.

As significant value is more than 0.72 need to perform right tailed test.

Sample data test statistic z -score is equal to

z = 1.213

Using table p- value is equal to 0.22513

Accurate up to 4 decimal places

p - value = 0.2251

As significant value is more than 0.72 .

Result is statistically significant.

Reject the null hypothesis and accept the alternative hypothesis.

Therefore, the p - value foe the given test statistic z score is equal to 0.2251.

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Step-by-step explanation:

Answer:

To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:

x y

0 1

1 3

2 5

3 7

4 9

To get the value of y, we substitute each value of x into the equation and simplify:

When x = 0:

y = 2(0) + 1 = 1

When x = 1:

y = 2(1) + 1 = 3

When x = 2:

y = 2(2) + 1 = 5

When x = 3:

y = 2(3) + 1 = 7

When x = 4:

y = 2(4) + 1 = 9

Therefore, the table of values for the equation y = 2x + 1 is:

x y

0 1

1 3

2 5

3 7

4 9

The surface area of the cylindrical pottery vase is 177.55 in².

Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,

SA of a cylinder = 2π×radius(h+r)

= 2×3.14×2.15(2.15+11)

= 177.55 in²

Hence, the surface area of the cylindrical pottery vase is 177.55 in².

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Answer:

68 buses

Step-by-step explanation:

3250÷48=67.7083333333

round off 67.7083333333 so we will get 68

Answer:

33/4

Step-by-step explanation:

x^-2 = 1/x^2

x^2 = ( 2/3 )^2

      = 2^2 / 3^2

x^2 = 4/9

x^-2 = 9/4

27^x

27 = 3 x 3 x 3 = 3^3

27^x = 3^3x

        = 3^( 3* 2/3 )

        = 3*2

27^x = 6

x^-2 + 27^x

= 9/4 + 6

= 9/4 + 24/4

= ( 9 + 24 )/4

= 33/4

Answer:

Step-by-step explanation:

angle A + angle B + angle C = 180° [Sum of all angles of a triangle is 180°]

=> 2x+1 + x+15 + x = 180°

=> 4x + 16 = 180°

=> 4x = 180° - 16°

=> 4x = 164°

=> x = (\(\frac{164}{4}\))°

=> x = 41°

\(\\\)

angle A = 2x+1 = 2×41 +1 = 82 + 1

=> 83°

angle B = x+15 = 41+15

=> 56°

angle C = x

=> 41°

\(\\\\\\\)

HOPE IT HELPS

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Which figure where is the figure

By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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Here is one solution to the puzzle:

Squares: 2, 8, 16

Circles: 5, 7, 14

Total: 26

You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.

An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.

Therefore, the correct answer is as given above

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Answer:

84.6

Step-by-step explanation:

Answer:

x > -3 or -3 < x < 3 or x > 3

Step-by-step explanation:

\(x^{2}\) - 9

= (x + 3)(x - 3)

the undefined singularity points are at x = 3 and x = -3

x  > 3 or x > -3

Answer:

-650 meters

Step-by-step explanation:

-200 m - 450 m = -650 m

Hopefully this helps :)

163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units

164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.

165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.

166. Missing side = 29 ft.

The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.

163. The distance between A(-5, 6) and B(5, -5):

AB = √[(5−(−5))² + (−5−6)²]

AB = √221

AB ≈ 14.9 units

164. Apply the Pythagorean theorem to find the diagonal:

Diagonal = √(15² + 15²) ≈ 21.2 ft.

165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:

c = √676 = 26 units.

166. Missing side = √(20² + 21²) = 29 ft.

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The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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