1
The zeros of a parabola are -4 and 3, and it passes through the point (1, - 40).
What inequality represents all ordered pairs outside the parabola?
Drag a number or symbol into each box to correctly complete the inequality.

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

You want me to let you in on a secret? There's a simple equation that you can use to solve any quadratic problem in a minute or two.

It's the quadratic formula

x =  \(x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\)

The +- means that you will do this two times, the first time you will do -b + sqrt(b^2-4ac), and the second time you will do minus that.

a is the coefficient of the first term in the expression, b is the second and c is the third.

so we get\(x = \frac{-(-10) +- \sqrt{(-10)^2 - 4(1)(24)} }{2(1)}\) , which is the same as

\(x = \frac{10 + \sqrt{100 - 24(4)} }{2}\)

and

x = \(x = \frac{10 - \sqrt{100 - 24(4)} }{2}\)

The top part simplifies to \(\frac{10 + \sqrt{100 - 72} }{2} = \frac{10 + 6}{2} = 5\), which is your answer.

Okay, here we have this:

When we graph in a number line we obtain the following:

Here we can see that as 3/4 is more to the right is greater than 2/8. 3/4>2/8.

To better locate ourselves 2/8 is right in the middle of 0 and 1/2; and 3/4 is right in the middle of 1/2 and 1.

Answer:

0.72

Step-by-step explanation:

Answer:6

Step-by-step explanation: I don't really know how to explain this...

Answer:

6

Step-by-step explanation:

hi! absolute value is defined as the number of units away from zero on the number line. distance is always positive, so absolute value is always positive. therefore, the answer is 6 since you just take the negative sign away.

hope this helps!

Answer:

0.65

Step-by-step explanation:

18+8=26 26/40 = 0.65

Answer:

2520

Step-by-step explanation:

There are 7 letters in MCHNLRN and they can be arranged into 7 ways:

7! = 5040 ways in total

However, the letter 'N' is repeated so we have to divide it by 2.

5040 ÷ 2 = 2520 ways

Answer:

2,520 ways

Step-by-step explanation:

MCHNLRN has 7 letters with one repetition.

therefore, =7!/2!

=2,520 ways

Answer:

\(n=\frac{5\ln \left(\frac{q}{r}\right)}{\ln \left(q\right)}-2\)

Step-by-step explanation:

Answer:

n = 3

Step-by-step explanation:

I guess you want the value of n

-----------------------------------------------------------

Since n is the index of q, you can simply

ignore all p and r stuff and make it

\(q^{2}\)×\(q^{n}\) = \(q^{5}\)

\(q^{2+n}\) = \(q^{5}\)

2 + n = 5

n = 3

In this case we know that the parabola does not cross the x-axis, thus, the quadratic equation has no solutions.

For a quadratic function (also called a parabola)

y = a*x^2 + b*x + c

the solutions of the quadratic equation are the values of x such that:

a*x^2 + b*x + c = 0

Now, remember that the values with y = 0 are called the x-intercepts, then the solutions of the above equation are x-intercepts.

And here we know that the parabola does not cross the x-axis, thus, the quadratic equation has no solutions.

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Answer:

no solution

Step-by-step explanation:

use grouping method:

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

factor it:

when we try to factor the above equation, we see that there is no ordered pair in which the numbers multiple to -4 and add to 2, so there is no solution

Answer:

mode = no mode. median = 133, mean = 133

Step-by-step explanation:

mode = most common value. all of the values appear once. so there is no mode.

median = arranging the data in numerical order, then finding middle value.

there are 8 values. we have 4 on one side (124, 126, 128, 130) and 4 on the other (136, 137, 140, 143).

median is halfway between 130 and 136. that is 133.

mean = add up the values/ how many there are

adding them up, you get 1064. there are 8 values.

mean = 1064/8 = 133

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

I think it will be 400 cm^2

Step-by-step explanation:

8cm x 20cm/ 2 = 80cm^2  this is for the triangle

So the base is 20cm^2 and so me multiply that x2  which will give us 400cm^2 for the square

The exterior angle of the triangle is 62°.

What is triangle?

A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

Let us take the triangle as ABC.

Here \(m\angle C\)= 180-(5x-3)° [Because straight line angle is 180°].

We know that sum of all angles in triangle is add upto 180° Then,

=> \(m\angle A+m\angle B+m\angle C\)=180

=> 43°+3x°+180-5x+3=180°

=> -2x=180-180-43-3

=> -2x=-46

=> x=13°

Now exterior angle ,

=> 5x-3

=> 5*13-3

=> 65-3

=> 62°

Hence the exterior angle of the triangle is  62°.

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Answer:

$478.8

Step-by-step explanation:

1 sparkler costs= $3.99

120 sparklers cost= $3.99 x 120 = $478.8

Answer:

50

Step-by-step explanation:

10*5=50

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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Let a denote internet service charges and b denote daily service charge which are constants and x the number of days which is variable.

Let d be the number of days to find the total charges.

Since the month consists of at most 31 days

The total charges t can be expressed as t = a + b*x, where  x > 0 and

x <=31.

We are given that the internet service charges of 20 dollars

We are given that the daily service charges are 0.5 dollars

The days in the month are in the range of 1 to 31 (max).

Note, if x increases by 1 unit, then t is added by b.

Given values: a = $20; b= $0.5

Solution equation:

t = $20 + x*$0.5

What is constant?

A constant is a number that stands alone; occasionally, a, b, or c are used to denote a fixed number.

What is variable?

A variable is an alphanumeric character that represents a number or a numerical value; occasionally, x, y, or z are used to denote a variable.

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Let a denote internet service charges and b denote daily service charge which are constants and x the number of days which is variable.

Let d be the number of days to find the total charges.

Since the month consists of at most 31 days

The total charges t can be expressed as t = a + b*x, where  x > 0 and

x <=31.

We are given that the internet service charges of 20 dollars.

We are given that the daily service charges are 0.5 dollars.

The days in the month are in the range of 1 to 31 (max).

Note, if x increases by 1 unit, then t is added by b.

Given values: a = $20; b= $0.5.

Solution equation:

t = $20 + x*$0.5

What is constant?

A constant is a number that stands alone; occasionally, a, b, or c are used to denote a fixed number.

What is variable?

A variable is an alphanumeric character that represents a number or a numerical value; occasionally, x, y, or z are used to denote a variable.

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Answer:

your total is..

Step-by-step explanation:

$14.3 you just gotta add em all together!

Answer:

$69

Step-by-step explanation:

total cost of slices of pizza = 24 x 1.75 = $42

Total cost of carrots = 12 x 0.80 = $9.6

total cost of cookies = 12 x 1.45 = $17.4

total cost = 42 + 9.6 + 17.4 = $69

Answer:

1,398

Step-by-step explanation:

i think this is it cause this is very close. Have a nice day.

Step-by-step explanation:

4(n^3 - 6)

hope this helps

a. Line AB and line BC are not congruent because their distance of separation are not equal

b. Line AC and line BD are not congruent because their distance of separation are not equal

From the number line drawn, we have the following deductions;

Line AB = -5 to -2 = 3

Line BC = -2 to 0 = 2

Line AC = -5 to 0 = 5

Line AD = -5 to 5 = 10

Line BD = -2 to 5 = 7

We can see that;

a. Line AB and line BC are not congruent because their distance of separation are not equal

b. Line AC and line BD are not congruent because their distance of separation are not equal

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Answer:

17k - 25

Step-by-step explanation:

- 5(1 - 5k) - 4(2k + 5) ← distribute parenthesis

= - 5 + 25k - 8k - 20 ← collect like terms

= 17k - 25

Step-by-step explanation:

distribute -5 and -4

-5×1, -5×-5k and -4×2k, -4×5

so,

negative times negative is positive and positive times negative is negative

-5+25k-8k-20

add common variables

-5-20+25k-8k

-25+17k

The area between the solid line (y=x+4) and the dotted line (y=-2x-2) represents the system of inequalities solution set.

Two linear inequalities system on a coordinate plane. The first has a solid line graphed with a negative slope of one, a negative y-intercept, and a shaded origin area. The area encompassing the origin is shaded, and the second is a dashed vertical line 3 units to the left of the origin.

x ≥ –3; y ≥ x – 2

x > –3; 5y ≥ –4x – 10

x > –3; y ≥ –x + 1

x > –2; y ≥ –x – 1

The solution set for the system of inequalities is represented by the region between the solid line (y=x+4) and the dotted line (y=-2x-2).

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Answer:

It might be D not sure tho

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

There are 8 ounces in a cup. Multiply 8 three times and 3 three times and add those together. Divide the answer by 8.

The system of equations that has a solution of (5,-3) is y +  3 = m (x-5).

or

We have the points (5, -3).

Now, The point-slope form of a linear equation is:

(y - y₁) = m (x - x₁)

(y - (-3)) = m (x- 5)

y +  3 = m (x-5)

Now, let the slope m = -2 then

y + 3 = -2(x-5)

y + 3 = -2x + 10

y + 2x + 3 -10 = 0

y + 2x - 7 = 0

Or we can also form the equation as

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