which is the best estimate for the average rate of change for the quadratic function graph on the interval [tex]0 \leqslant x \leqslant 4[/tex]

c) The statement "All soccer balls are round" is equivalent to "For all x, if S(x) then R(x)" and it can be written in predicate wff as

d) The statement "Some balls are not round" is equivalent to "There exist some x such that B(x) and not R(x)", which can be written in predicate wff as

e) The statement "Some balls are round but soccer balls are not" is equivalent to "There exist x such that B(x) and R(x) and there exist x such that S(x) and not R(x)", can be written in prediacte wff as

f) The statement "Every round ball is a soccer ball" is equivalent to "For all x, if R(x) then S(x)", can be written in prediacte wff as

Let base = x

Height = 2x + 3

The height is 2x + 3 and the base is just x.

Answer: 2.5, 5.4

Step-by-step explanation:

[tex]-16t^2 +126t=213\\ \\ 16t^2 -126t+213=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]

The line y = 1 is a horizontal line and thus is a line that is parallel to the x-axis.

If we reflect about a line that is parallel to the x-axis, then the x-coordinate of the point (that is reflected) will remain the same, thus the image of (-1, 5) has x-coordinate -1 and thus the point is of the form (-1, b).

The point (-1, 5) is 4 units from the line y = 1 (because the difference between y = 5 and y = 1 is 4).

The reflected point has to be the same distance from the line y = 1 as the original point

Answer:

making an inference is the correct answer.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think its B

Answer:

Step-by-step explanation:

window*

Answer:

Reflection over y-axis.

Step-by-step explanation:

The transformation being described is a reflection across the y-axis since we would have to flip the signs of the x-values to transform the function.  See pictures below.

Hope this helps.

Distance from point A to point B is approx. 3m

What is the difference between Distance and Displacement?

While distance and displacement appear to signify the same thing, they actually have very different definitions and meanings.

A scalar quantity known as distance measures "how much ground an object has traversed" while moving.

An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an object is."

Distance is the sum of an object's movements, regardless of direction. Regardless of an object's starting or ending position, distance can be defined as the amount of ground it has covered.

The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place. For instance, if an object shifts from location A to position B, its position changes. Displacement is the term used to describe this shift in an object's position.

∠BCD = 36°

∠ACD = 32°

CD= 26m

tan∠BCD=0.726

tan∠ACD=0.624

since,

BD=CD x tan∠BCD

AD=CD x tan∠ACD

thus,

AB = BD-AD

= CD x tan∠BCD - CD x tan∠ACD

= CD x [0.726 - 0.624]

= 2.652

= approx 3 m

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Answer:

3(m)

Step-by-step explanation:

To find the price per ounce for each grocery store we have to divide the price by the size of the bottle:

Hawkin's Grocery:

$0.25 per ounce

MItchell's Store:

$0.32 per ounce

Selena's Market:

$0.30 per ounce

Teresa's Store:

$0.20 per ounce

We can see that Teresa's Store has the lowest price per ounce

The number of heavy equipment operators employed=16

The number of laborers employed=14

Assume

x=number of heavy equipment operators employed

30-x=number of laborers employed

From the question, we have

135x+97(30-x)=3518

135x+2910-97x=3518

38x=608

x=16

number of heavy equipment operators employed=16

number of laborers employed=14

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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Answer:

The number of heavy equipment operators employed=16

The number of laborers employed=14

Assume

x=number of heavy equipment operators employed

30-x=number of laborers employed

From the question, we have

135x+97(30-x)=3518

135x+2910-97x=3518

38x=608

x=16

Step-by-step explanation:

Answer:

if the egg was the same size then that must mean the eggs had different reactions than each other.

Step-by-step explanation:

Answer:

\textcolor{#B14BA5}{5x}\textcolor{#B14BA5}{-5x}-10

5

−

5

−

1

0

-10

−

1

0

Answer:

Step-by-step explanation:

5x^2 - 5x - 10

factor out the 5

5 (x^2 - x -2 )

note how the 5 doesn't make any difference for our question.

now use  FOIL , know it?

First, Outside, Inside,  Last

(X ± ? ) * ( X ± ? )

we want that above form.  

(X+1) * (X - ? )

hmm

(X+1) * (X -2)  

that looks like it would work

now just put the 5 back on

5*{(X+1)*(X-2)}

there it is  :)

Answer:

y=-1/5x-4

Step-by-step explanation:

just use y=mx+b formula, slope always goes for m and y intercept for b

From the given figure, we observe that,

The relationship between the variables is,

As the number of sunny days increases, the number of lost umbrellas tends to decrease.

Hence, the correct option is C.

Given

Arielle plans to purchase hanging baskets for her front porch. There are three businesses in her area that sell hanging baskets and she plans to purchase the baskets from one of these business.

To find: Which answer best describes the sample and population?

Explanation:

It is given that,

Arielle plans to purchase hanging baskets for her front porch. There are three businesses in her area that sell hanging baskets and she plans to purchase the baskets from one of these business.

That implies,

Sample: all available hanging baskets at one of the businesses in town that sells them.

And,

Population: all available hanging baskets at the three businesses in town that sell them.

The rate of change of the company Water's Edge rafts is greater than Ryan’s Rafts.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

From the graph, the two points are taken as (0, 0) and (1, 6). Then the slope of the Water's edge rafts will be given as,

⇒ (6 - 0) / (1 - 0)

⇒ $6 per hour

From the table, the two points are taken as (1, 15) and (5, 24). Then the slope of Ryan's rafts will be given as,

⇒ (24 - 15) / (5 - 1)

⇒ 9 / 4

⇒ $2.25 per hour

The rate of change of the company Water's Edge rafts is greater than Ryan’s Rafts.

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Answer:

B. Negative

Step-by-step explanation:

A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions is a real number.

answer:

the digit 3 is in the thousands place in the number 73,892.

step-by-step explanation:

the answer was determined based on the definition of the thousands place. it may be easier to tell with a comma in place. hope that helps!

She sold 125 sandwiches and 175 viands as per the equation using substitution method as the definition of substitution method says, "The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the other equation in this method, as the name implies".

A mathematical formula is an equation that uses algebraic operations like add, subtract, multiply, divide, raise to a power, take the natural logarithm, take the cosine, or some combination of operations to express one variable as a combination of other variable(s). One-step equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing. In an equation, both sides will remain equal if we add the same amount to each side. The "scale" (or equation) must ALWAYS be balanced when solving math equations so that both sides are ALWAYS equal.

Here,

Let x be the sandwiches she sold and y be the viands she sold.

x+y=300

y=50+x

x+50+x=300

2x+50=300

2x=250

x=125

y=50+125

y=175

In accordance with the equation and applying the substitution method, she sold 125 sandwiches and 175 appetizers "The substitution method is an algebraic strategy for resolving simultaneous linear equations. This method, as the name suggests, involves substituting the value of a variable from one equation into the other equation ".

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By using the concept of percentage, the equation which is equivalent to  60% of 25 is [tex]0.6 \times 25 = x[/tex]

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example 2% means [tex]\frac{2}{100}[/tex]. Here 2 is expressed as a fraction of 100.

Here,

Using concept of percentage.

Let 60% of 25

[tex]\frac{60}{100}\times 25 = x\\0.6 \times 25 = x[/tex]

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Answer:

D. 2200 ft.lb/s

Explanation:

First, recall the standard conversion between horsepower and foot-pounds per second.

Therefore:

The correct choice is D.

Given:-

7th term is 77 and 8th term is 231.

To find:-

The common ratio.

Now to find the common ratio we divide both the numbers. we get,

So the common difference is 3.

So the common ratio is 1/3.

Answer:

3

Step-by-step explanation:

Geometric sequence:

        [tex]\sf Common \ ratio = \dfrac{(n+1)^{th} \ term}{n^{th}}[/tex]

                              [tex]\sf = \dfrac{8^{th} \ term}{7^{th} \ term}\\\\\\ =\dfrac{213}{77}\\\\\\=3[/tex]

Answer:

∡BCA = 29

∡BOC = 58

Explanation:

The angles BDC and BAC form the same arc on the circle, the arc BC. Then, these angles have the same measure, so

∡BCA = ∡BDC

∡BCA = 29

Then, we can use the inscribed angle theorem to find the arc BC as follows

Therefore, arc BC has a measure of 58 degrees, which means that ∡BOC is equal to

∡BOC = Arc BC

∡BOC = 58

So, the answers are

∡BCA = 29

∡BOC = 58

Answer:

6

Step-by-step explanation:

12/2=6

Answer:False.  

Step-by-step explanation:

Multiply both sides of the equation by a coefficient:begin equation begin cases5  5 x + 2 y = 7 * 52 13.

There are 31 perfect square numbers that are less than 1000.

Among them there are 5 numbers which are 3 times an odd integer those are 9,81, 225, 441, 729

Answer: The dress was $66

Step-by-step explanation:

55(120) divided by 100 and you'll get the price of the dress :)

Answer:

i know i answered this but a mod must have got rid of it it is 1

Step-by-step explanation: