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As x + 0, y →-00
The y-intercept of the graph is -1.
The graph has no relative minimum value.
the graph has a maximum value at x = 5.
The graph has a relative maximum value at x = -3.
As x + -00, y → -

Answer: A ∪ B = { 1, 2, 6, x | x is an odd whole number less than 8 }.

Step-by-step explanation:

The union of sets A and B includes all elements that are in set A, all elements that are in set B, and all elements that are in both sets A and B. In this case, A = { 1 , 2 , 6 } and B = { x | x is an odd whole number less than 8 }, so A ∪ B = {1, 2, 6, x | x is an odd whole number less than 8 } = {1, 2, 3, 5, 6, 7}

Part A:

Part B:

we need to solve x, we can replace the second equation(y=x+15) on the first equation

he spends 30 minutes jogging

Part C:

Its impossible because if he rides 60 minutes must jog 15 less minutes, 45 minutes, and the sum isnt 75

Answer:

X is missing from the equation

Step-by-step explanation:

Answer:

correct

Step-by-step explanation:

its 3/4

Answer:

First equation is already in slope-intercept form

The y-intercept of the first equation is (0,4)

The slope of the first equation is -2

Second equation is y= -1/2x-2 in slope-intercept form

The y-intercept of the second equation is (0,-2)

The slope of the second equation is -1/2

Answer:

$88

Step-by-step explanation:

All you would need to do is multiply 220 by the decimal translation for 60%(which is 0.6). You would then subtract that number from 220 because it's 60 percent off, giving you 88.

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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Answer:

B. 169.1 cubic inches

Step-by-step explanation:

Volume of the prism = base area × height

Base area = s²

Where,

s = 5.4 in.

Base area = 5.4²

Base area = 29.16 in.²

height = 5.8 in.

Volume of the prism = 29.16 × 5.8

= 169.128

≈ 169.1 cubic inches (to nearest tenth)

The product of the expression 7 x 63 is 441.

We have,

To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:

7 x 63 = 7 x (60 + 3)

Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:

7 x (60 + 3) = 7 x 60 + 7 x 3

Simplifying further:

7 x 60 + 7 x 3 = 420 + 21

Therefore,

The product of 7 x 63 is 441.

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Answer:

2/8 + 3/8 = 5/8

Step-by-step explanation:

Total: 8 marbles

Yellow: 3

Green: 2

8 - 3 - 2 = 3

Blue: 3

Fraction of yellow: 3/8

Fraction of green: 2/8

Fraction of yellow and green:

2/8 + 3/8 = 5/8

The value of p when q is 2 is 1

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.

This means that has x increases y will decrease and vice versa.

If p is inversely proportional to q , then p = kq

when p = 2, q = 4

2 = k4

k = 2/4

k = 1/2

When q = 2

p = 1/2 × 2

p = 1

Therefore the value of p is 1

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The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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The area of the parallelogram with given points is 8√26 or 40.79 square units.

In Mathematics and Geometry, the area of a parallelogram can be calculated by using the following formula:

Area of a parallelogram, A = b × h

Where:

Height = √[(x₂ - x₁)² + (y₂ - y₁)²]

Height = √[(3 - 7)² + (0 - 4)²]

Height = √32 units.

Base = √[(13 - 7)² + (0 - 4)²]

Base = √52 units

By substituting the given parameters into the formula for the area of a parallelogram, we have the following;

Area of a parallelogram = √32 × √52

Area of a parallelogram = 8√26 or 40.79 square units.

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Answer: im not shore how to answer but here is to answers: 980 ft when multiplied and 31ft when added

Step-by-step explanation:

plz mark brainlyest

Answer:

3/10,1/2,4/5

this is because

if you make them all have common denominators they are:

8/10, 3/10, and 5/10

and you put them in order based on their numerators

Answer:

Step-by-step explanation:

To begin, get everything but the x terms on one side of the equation by subtracting the 62. That gives us

\(x^2+16x=-55\)

Next, take half the linear term, square it, and add it to both sides. Our linear term is 16. Half of 16 is 8, and 8 squared is 6, so add 64 to both sides:

\(x^2+16x+64=9\)

The reason we do this is to get a perfect square binomial on the left, which looks like this:

\((x+8)^2=9\). Undo the squaring on the left by taking the square root of both sides. Doing this leaves x + 8 on the left, but + or - 3 on the right:

x + 8 = 3 and x + 8 = -3. Solving each of these equations gives you your 2 solutions:

x = -5 and x = -11

The value of a is given as follows:

a = 2.

The rate of change is given as follows:

2.4 inches per hour.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The line passes through the points (–1, –5) and (4, 5), hence the slope m is obtained as follows:

m = (5 - (-5))/(4 - (-1))

m = 2.

Hence:

y = 2x + b.

When x = -1, y = -5, hence the intercept b is obtained as follows:

-5 = -2 + b

b = -3.

Hence:

y = 2x - 3.

Then the value of a is obtained as the value of x when y = 1, hence:

2x - 3 = 1

2x = 4

x = 2.

The rate of change in the snowfall is given as follows:

m = (8.1 - 2.3)/2

m = 2.4 inches per hour.

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator does a nice job of graphing these equations.

__

The very steep slope suggests the graph will need somewhat different vertical and horizontal scales in order to show anything useful.

Answer:

Number of biscuit needs = 28 packets

Number of Pemmican needs = 18 packets

Number of Butter cocoa needs = 4 packets

Step-by-step explanation:

GIven:

Total calorie required = 5,600 calories

Biscuits 80 (Calorie per packet) 40% of total diet

Pemmican 140 (Calorie per packet) 45% of total diet

Butter cocoa 210 (Calorie per packet) 15% of total diet

Find:

Number of biscuit, Pemmican and butter cocoa need

Computation:

Number of biscuit needs = [5,600(40%)]/80

Number of biscuit needs = [2,240]/80

Number of biscuit needs = 28 packets

Number of Pemmican needs = [5,600(45%)]/140

Number of Pemmican needs = [2,520]/140

Number of Pemmican needs = 18 packets

Number of Butter cocoa needs = [5,600(15%)]/210

Number of Butter cocoa needs = [840]/210

Number of Butter cocoa needs = 4 packets

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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Answer:

13.33

Step-by-step explanation:

As in the attached diagram,  we can see that the points belong to  \(\mu\pm \sigma\) interval

Data provided in the question as per the details below:

\(\mu_{\bar x}\) = 440

\(\mu_{\bar x} + \sigma_{\bar x}\) = 480

So,

\(\sigma_{\bar x}\) = 480 - 440

= 40

Now the standard deviation of the population is

\(V(\bar{x}) = \frac{\sigma}{\sqrt n} \\\\ = \frac{40}{\sqrt 9}\)

= 13.33

Hence, the standard deviation of the population for which the sample is drawn is 13.33

Answer:

Cost of table is $237

Step-by-step explanation:

Cost of chair, table and lamp = $562

Cost of lamp = x

Cost of chair = 4x  (The chair costs 4 times as much as the lamp)

Cost of table = 4x-23 (the table costs $23 less than the chair.)

We need to find the cost of table.

We know that:

Cost of chair, table and lamp = $562

We can write:

\(x+4x+4x-23=562\)

First, we need to find value of x by solving the equation.

\(x+4x+4x-23=562\\9x=562+23\\9x=585\\x=\frac{585}{9}\\x=65\)

So, we get x = 65

Now, we can find cost of table:

We are given:

Cost of table = 4x-23

Cost of table = 4(65)- 23 = 237

So, Cost of table is $237

Answer:

-5/6

Step-by-step explanation:

By the application of Analytical geometry the rate of change of y with respect to x is -5/6.

what is Analytical geometry?

Analytical geometry is a branch of mathematics that studies geometric shapes and figures using analytical methods. It is a branch of mathematics that uses algebraic techniques to describe geometric shapes and figures. It involves the use of analytical equations and formulas to study geometric concepts. Analytical geometry is used to study the properties of points, lines, angles, circles, and other geometric shapes. It can also be used to solve problems involving angles, distances, and areas of figures. In addition, analytical geometry can be used to find the intersection of two lines, calculate the area of a circle, and calculate the volume of a cylinder. Analytical geometry is a powerful tool used in many scientific and engineering fields.

The rate of change of y with respect to x for this line is -5/6
Therefore -5/6 is rate of change in this graph.

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Answer:

If that's the whole question then what exactly are we trying to solve here?

Step-by-step explanation:

An ungrouped frequency distribution would be ineffective because there is a large number of stories, hence they should be grouped into ranges.

A frequency distribution gives the percentages/proportions of each outcome in a distribution.

These frequencies distributions are classified as follows:

The measures in this problem are given by the image at the end of the answer, and we can see that there is a small amount of repeating values, they are in interval ranges, hence an ungrouped frequency distribution would be ineffective.

The list with the number of stories in the buildings is given by the image at the end of the answer.

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The three solutions of the inequalities are x < 0 , x <  0.8 , x< -2

Inequalities are defined as mathematical expressions in which both sides are not made equal to each other.

Given the inequalities;

Let's solve for the value of x

x - 0.8 < 0

Make 'x' the subject

x < 0 + 0. 8

x < 0. 8

-5x < 10

Make 'x' the subject by dividing both sides by - 5

-5x/ 5 < 10/ -5

x < -2

Thus, the three solutions of the inequalities are x < 0 , x <  0.8 , x< -2

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The set of ordered pairs that represents a function is (D) {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.

A set of ordered pairs represents a function if each unique input (x-value) is associated with only one output (y-value).

{(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}

In this set, both (-2, -1) and (-2, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3,0)}

In this set, all the ordered pairs have the same x-value (-5). Since (-5, -5), (-5, -4), (-5, -3), and (-5, -2) have the same x-value but different y-values, this set does not represent a function.

{(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}

In this set, (-4, -5) and (-4, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}

In this set, each unique x-value is associated with a single y-value. There are no repeated x-values. Therefore, this set represents a function.

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Answer:

see image

Step-by-step explanation:

You are subtracting fractions. To do this you must have a common denominator. Then subtract the numerators.

In your question, the denominators (expressions on the bottom) are ALREADY THE SAME, because (x+2)(x+1) is the same as x^2+3x+2.

So to subtract, keep the denominator and subtract the tops:

x - 1

The result can be written in either factored form or standard form. The answers are equivalent. See image.