Which statement about the two-way frequency table is true?

Solution

a) The parabola opens downward

b) x - intercept is: -6 , -2

y-intercept is: -3

c) Vertex is the turning point: (-4, 1)

d) The axis of symmetry is x = -4

Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.

We have two numbers a and b with different sign.

Let's say that a is negative and b positive.

We know that the absolute value of a is divisible by the absolute value of b.

|a|/|b|

Then we have that |a| ≥ |b|

An example of two numbers that meet these conditions are:

a = -10

b = 2

Where:

|-10|/|2|  = 10/2 = 5

Now, the product between the integers will give a large negative number, in this case:

-10*2 = 20

and the quotient will give a smaller, in absolute value, negative number:

-10/2 = -5

Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).

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Answer:

8^1/6 x 2^x= 32^1/2

Step-by-step explanation:

1/6 x 2^x= 32^1/2

Answer:

27/14 or 1 13/14

Step-by-step explanation:

First you simplify the problem to 3/7 × 9/2. then you multiply them to get 27/14 or 1 13/14.

Answer:

24/7 × 9/16

6/7 × 9/4

3/7 × 9/2

27/4

=6.75

Step-by-step explanation:

in dividing this equation, 4 can divide both 24 and 16 so 4 will divide 16 4 times and divide 24 6times. also 2 can divide 4 2times and divide 6 times so you will be having the third method. then you multiply them since you can have any number dividing them. your answer will be 27/4 which is an improper so you will either change it to decimals or mixed fraction

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

Answer:

sdfsefsesfsfsefsefsefsefsfsefesef

Step-by-step explanation:

Answer:

The answer is: 4y(2x+y)

Step-by-step explanation:

Answer:

789

Step-by-step explanation:

Answer:

789

Step-by-step explanation:

8 goes into 63 7 times which is 56. 63 - 56 is 7. Bringing down the 1 makes it 71, 8 goes into 71 8 times, which is 64. 71 - 64 is 7. Lastly bringing down the 2 is 72. 8 goes into 72 9 times. So, you get the numbers 789.

Answer:

Width = 3x^2 + 5

Step-by-step explanation:

Area = Length*Width

(6x^2+10)=2*Width     Divide both sides by 2

3x^2+5 = Width

Answer:

3x^2 +5

Step-by-step explanation:

Take the pink area 6x^2 and divide by 2

6x^2/2 = 3x^2

Take the blue area and divide by 2

10/2 = 5

Add them together to find the width

The width is 3x^2 +5

Answer:

C. - 1 and 0 only

Step-by-step explanation:

(x + 1) / x = 0, - 1, 2

inflection points / when sign Changes

+  /   -   /  +       /  +

"- 1 "   "0"      2

  ^      ^

"Hope this helps"

The graph of f has inflection points when x = 0 and -1.

Given that,

If graph =  f"(x) = x(x + 1)(x - 2)^2

We have to determine,

The graph of f has inflection point when x is.

According to the question,

Inflection point is the point in which the rate of slope changes in increasing to decreasing order or vice versa.

These points are generally not local maxima or minima but stationary points.

\(f''(x) = 0\)

Therefore,

The graph of f has inflection point at,

\(f''(x) = x (x+1) (x-2)^{2} = 0\\\\x = 0 \ and \ x+1 = 0 \ \ = x = -1\\\\ or \ x-2 = 0 , \\\ \ \ = x =2\)

On taking intersection of these points,

The graph has inflection points at x = 0 and -1.

Hence, The graph of f has inflection points when x = 0 and -1.

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The solutions to the simultaneous equations are approximately (2.18, -2.45) and (-0.18, 3.45).

To solve the simultaneous equations:

Begin by rearranging the second equation to solve for one variable in terms of the other. In this case, we'll solve for y:

5x + 2y = 6

2y = 6 - 5x

y = (6 - 5x)/2

Substitute the expression for y in terms of x into the first equation:

\(2x^2 + y^2 = 12\)

\(2x^2 + ((6 - 5x)/2)^2 = 12\)

Simplify the equation by expanding and combining like terms:

\(2x^2 + (6 - 5x)^2/4 = 12\)

\(2x^2 + (36 - 60x + 25x^2)/4 = 12\)

Multiply through by 4 to eliminate the fraction:

\(8x^2 + 36 - 60x + 25x^2 = 48\)

Rearrange the equation to form a quadratic equation:

\(33x^2 - 60x - 12 = 0\)

Solve the quadratic equation using factoring, completing the square, or the quadratic formula. Let's use the quadratic formula here:

\(x = (-b ± √(b^2 - 4ac)) / (2a)\)

Plugging in the values from the quadratic equation, we have:

\(x = (-(-60) ± √((-60)^2 - 4 * 33 * -12)) / (2 * 33)\)

x = (60 ± √(3600 + 1584)) / 66

x = (60 ± √5184) / 66

x = (60 ± 72) / 66

Calculate the values of x:

For x = (60 + 72) / 66: x ≈ 2.18

For x = (60 - 72) / 66: x ≈ -0.18

Substitute the x values back into the second equation to find the corresponding y values:

For x ≈ 2.18:

5(2.18) + 2y = 6

10.9 + 2y = 6

2y = 6 - 10.9

2y ≈ -4.9

y ≈ -2.45

For x ≈ -0.18:

5(-0.18) + 2y = 6

-0.9 + 2y = 6

2y = 6 + 0.9

2y ≈ 6.9

y ≈ 3.45

Therefore, the solutions to the simultaneous equations are approximately (2.18, -2.45) and (-0.18, 3.45).

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The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.

When two lines intersect, then their opposite angles are equal. Then the equation is given as,

m° + 66° + m° = 120°

Simplify the equation for m, then the value of 'm' is calculated as,

m° + 66° + m° = 120°

2m° = 120° - 66°

2m° = 54°

m° = 27°

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Answer:

in the first box i do believe it would be 55 and in the second box it would be 45,

Step-by-step explanation:

The unit rate of the relationship will be 10/3. The correct option is C.

The given equation is,

y = 10/3x + 8

The general form of an equation of the line is,

y = mx +  c

here, the slope will be 10/3

Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.

The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.

A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.

The unit relationship will be 10/3.

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Answer:

Area = 7822.61542 km²

Step-by-step explanation:

Área of a circle is:

area = π (d/2)²

π = 3.1416

d = diameter

In this case:

area = 3.1416 * (99.8/2)²

area = 3.1416 * 49.9²

area = 3.1416 * 2490.01

area = 7822.61542km²

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Cost to fence in the entire garden is $1519.48.

Given data

The dimension of the garden is

Length 14.23

Width 10.13

The perimeter of the garden is

P=2L+2W

P=2(14.23)+2(10.13)

P=28.46+20.26

P=48.72 yards

The total length is 48.72 yards

let us convert to foot

1 yard is 3 ft

hence

in ft we have= 48.72*3

=146.16 ft

the number of 2.5 ft section in 146.16ft is

= 146.16/2.5

=58.464

therefore the cost of the perimeter fence is

58.464*25.99

=$1519.48

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Answer:4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

say you have 2 cookies then get 2 more then you have 4

Answer:

0

Step-by-step explanation:

I don't see any variables so simplify both sides.

-8 - 20 = -40 - 20

-28 = -60

is a false statement. No solutions.

Answer:

12/30

Step-by-step explanation:

So we know that the denominator-numerator=18

And we also know that it's equal to 4/10 or 2/5.

Soooooooooooooo the most easiest is just to trial and error: 12/30

But I don't really know the more complex formula...

the correct answer is No

Step-by-step explanation:

it's not equal

Answer:

\(\frac{1}{3}\neq\frac{3}{3}\)

Step-by-step explanation:

The two numbers are different

We get that the cost of the battery is $ 8.24 per battery.

We are given that the cost of 88 batteries = $ 724.72

We need to find the cost of one battery.

We will do this by diving the cost of 88 batteries by 88.

Using division, we get that:

cost of one battery = $ 724.72 ÷ 88

Simplifying the expression, we get that:

cost of one battery = $ 8.24 per battery.

Therefore, we get that the cost of the battery is $ 8.24 per battery.

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The location of L″ is (-5, 0).

To find the location of L″, we first need to apply the first translation rule to the coordinates of trapezoid JKLM:

J': (x, y) → (x + 3, y - 3) => J'(-2+3, 1-3) = J(1, -2)

K': (x, y) → (x + 3, y - 3) => K'(1+3, 1-3) = K(4, -2)

L': (x, y) → (x + 3, y - 3) => L'(3+3, -2-3) = L(6, -5)

M': (x, y) → (x + 3, y - 3) => M'(-4+3, 2-3) = M(-1, -1)

Now, we need to apply the second translation rule to the coordinates of J', K', L', and M':

J'': (x, y) → (x - 1, y + 1) => J''(1-1, -2+1) = J''(0, -1)

K'': (x, y) → (x - 1, y + 1) => K''(4-1, -2+1) = K''(3, -1)

L'': (x, y) → (x - 1, y + 1) => L''(6-1, -5+1) = L''(5, -4)

M'': (x, y) → (x - 1, y + 1) => M''(-1-1, -1+1) = M''(-2, 0)

Therefore, the location of L″ is (-5, 0).

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Answer:

(5,-4)

Step-by-step explanation:

The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.