Question 1 of 10
What is the approximate distance between the points (-3,-4) and (-8, 1) on a
coordinate grid?
O A. 11.40 units
OB. 12.08 units
O C. 7.07 units
D. 3.16 units

The system of equations we need to solve is:

x*90 + y*50 = 860

y = x + 6

Solving that we will see that there are 4 mini hot dogs and 10 pizza rolls.

First, we need to define the variables we will be using, these are:

x = number of mini hotdogs.

y = number of pizza rolls.

We know that the combination has 860 calories in total, so:

x*90 + y*50 = 860

We also know that there are 6 more pizza rolls than mini hotdogs, so:

y = x + 6

Then the system of equations is:

x*90 + y*50 = 860

y = x + 6

Replacing the second equation into the first one, we will get:

x*90 + (x + 6)*50 = 860

Now we can solve this for x.

x*90 + x*50 + 300 = 860

x*140 + 300 = 860

x*140 = 860 - 300

x*140 =  560

x = 560/140 = 4

So there are 4 mini hotdogs, and:

y = x + 6

y = 4 + 6 = 10

There are 10 pizza rolls.

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20,000 ten thousand equals 2000 Hundred thousand.

As per the question statement, we are provided with a value: "20,000 ten thousand".

We are required to calculate how many hundred thousand are equal to 20,000 ten thousand.

To solve this question, let us first write down 20,000 ten thousand into the numerical format, i.e, [tex](20000*10,000)=200000000[/tex].

As we know, a hundred thousand when written down in the numerical format becomes 100,000, let us assume that 20,000 ten thousand equals to "x" number of Hundred thousand.

Therefore, we can form a linear equation in one variable "x" based on the condition, in the above-mentioned statement, which goes as  [tex](100,000*x)=200000000[/tex]

[tex]or, (100,000x)=200000000\\or,x=\frac{200000000}{100,000}\\or,x=\frac{2*10^{8} }{10^5\\}or,x=(2*10^3)\\or,x=2000[/tex]

Hence, 20,000 ten thousands equals 2000 Hundred thousands.

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Answer: 129

Step-by-step explanation:

200-{(7x3) +(10x5)}=

200-((7*3)+(10*5))=

200-(21+50)=

200-71=129

Answer:

k = 2

Step-by-step explanation:

in such a case we look immediately at the cases y = 0 and/or x = 0

only if that does not lead us to an answer, do we need to look further.

y = 0, that means according to the graph that x = -2.

so, we have

0 = |x + k| = |-2 + k|

that can only be the case, if k = 2

and we are done.

The equation of the parabolic arc that accomplishes this task is:

y = (-k/256)(x - 16)² + k.

In which k is the maximum height of the arc.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

For this problem, the arc has these following characteristics:

The road under the arc is 20 feet wide with a 6-foot sidewalk on both sides of the road, hence it's total length is of 20 + 2 x 6 = 32 feet, and the peak of the arc will be at h = 16.

Hence:

y = a(x - 16)² + k.

The height is of 0 at x = 0 and x = 32, hence:

0 = 256a + k.

a = -k/256

y = (-k/256)(x - 16)² + k.

In which k is the maximum height of the arc.

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Answer:

[tex]f^{-1}x=\frac{2x}{x-1}[/tex]

Answer:

a

Step-by-step explanation:

The derivative of the given expression is as follows   = [tex]\frac{1}{2 \sqrt{x_0}}[/tex]

The derivative is the rate of change in a function without respect to a variable in mathematics. Derivatives are essential for solving calculus as well as differential equations problems.

Options, forwards, futures, and swaps are the four primary types of derivative contracts. Options represent derivative contracts that provide the buyer the right to buy or sell the underlying asset at a predetermined price during a specific time period. The purchaser is not required to execute the option.

Let f:(0,∞)→R;

f(x)=√x, and x₀∈(0,∞) be an accumulation point of (0,∞).

We must find f′ such that for all x₀, f′(x₀) defined as:

limx→x₀(f(x)−f(x₀))/(x−x₀) exists.

Now,

x−x₀=(√x−√(x₀))(√x +√(x₀)).

Then:

[tex]\lim _{x \rightarrow x_0} \frac{f(x)-f\left(x_0\right)}{x-x_0}[/tex] = [tex]\lim _{x \rightarrow x_0} \frac{\sqrt{x}-\sqrt{x_0}}{\left(\sqrt{x}-\sqrt{x_0}\right)\left(\sqrt{x}+\sqrt{x_0}\right)}[/tex]

                            = [tex]\lim _{x \rightarrow x_0} \frac{1}{\sqrt{x}+\sqrt{x_0}}[/tex]

                            = [tex]\frac{1}{2 \sqrt{x_0}}[/tex]

The derivative of the given expression is as follows   = [tex]\frac{1}{2 \sqrt{x_0}}[/tex]

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The question you are looking for is:

Use the definition to find the derivative of f(x)=(√x), for x>0. Is f differentiable at zero? Explain.

Answer:

10.7%

Step-by-step explanation:

The formula for calculating the percent change in a value between two points in time is:

p

=

N

−

O

O

⋅

100

Where:

p

is the percent change - what we are solving for in this problem.

N

is the New Value - 62 inches in this problem.

O

is the Old Value - 56 inches in this problem.

Substituting and solving for

p

gives:

p

=

62

−

56

56

⋅

100

p

=

6

56

⋅

100

p

=

600

56

p

=

10.7

rounded to the nearest tenth.

Ricardo gres 10.7%

Answer:

a) Mean

b) Median

c) Mode

Step-by-step explanation:

a) The data set has no outliers, therefore taking the average (mean) would be the best.

b) The data has outliers which would skew a mean. None of the numbers repeat, therefore mode would not work, so by process of elimination, one can find that Median is the best.

c) This data set does not have numbers, therefore mean does not make sense. The most common rating would be the rating that occurs most often, which would be mode.

if only one-fourth the amount of brown sugar in the recipe were used

When adding 1/4 cup of brown sugar to a recipe, you would use

twelve teaspoons

0.015625 gallons

0.0625 quarts

0.125 pints

59.147 ml

3.086472 pounds

Volume, or how much liquid a container can hold, is measured in quarts in both British Imperial and US customary measurements. A quart is equal to two pints or one-fourth of a gallon.

One standard imperial quart, which is equal to two imperial pints or one-fourth of an imperial gallon, is used in the British imperial system for both dry and liquid measurements. The US Customary system has two units called quarts, one for measuring liquids and the other, a little bigger, for measuring dry goods.

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The greatest common factor of 38 and 30 is 2

We have given two numbers 38 and 30 .

Prime factorization of 38 is given by

   [tex]38=2\times19[/tex]

Prime factorization of 30 is given by

   [tex]30=2\times3\times5[/tex]

Prime factorization of 30 and 38 contains 2 as common primes factors so , GCF will be [tex]2[/tex] .

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The image of ( − 4 , 12 ) after a dilation by a scale factor of 1/2 centered at the origin is ( 2, -6 ).

What is Coordinate plane?

Coordinate plane, is represented as the values on the x-axis and y-axis of the graph.

Given that,

To determine the image of  (-4,12) after dilation by a scale factor of 1/2 centered at the origin.

Now, For the point, we have a dilation factor of 1/2,

So, a dilated coordinate,

= (1/2 * - 4 ,   1/2 * 12)

= (-2 , 6)

To form the image across the origin,

= - (-2, 6)

= (2, -6)

Therefore, The image of ( − 4 , 12 ) after a dilation by a scale factor of 1/2 centered at the origin is ( 2, -6 ).

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The value of the expression is -4

The cube root of a number can be defined as the factor multiplied by three times by itself  to get that number.

Cube root is represented using the formula, '∛'

From the information given,

c³ = -64

Take the cube root of both sides

∛c³ = ∛ - 64

c = - 4

Thus, the value of the expression is -4

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Answer:

A. 0

Step-by-step explanation:

| 1 4 4  |

| 5 2 2 |

| 1 5 5  |

a1 = | b2 b3 | = | 2 2 |

      |c2  c3  |    | 5 5 |

a2 = | b1 b3 | = | 5 2 |

       | c1 c3  |    | 1 5 |

a3 = | b1 b2 | = | 5 2 |

       | c1  c2 |    | 1 5 |

a1 - a2 + a3

    | 2 2 |           | 5 2 |            | 5 2 |

(1)  | 5 5 |  - (4)  | 1 5 |     + (4) | 1 5 |

1 [(2)(5) - (2)(5)] - 4 [(5)(5) - (2)(1)] + 4[ (5)(5) - (2)(1)]

1 [10 - 10] - 4 [25 - 2] + 4 [25 - 2]

1 [0] - 4 [23] + 4 [23]

- 92 + 92 = 0

I hope this helps!

Answer:38

Step-by-step explanation:

Its formed  an obtuse triangle  with side lengths 4 in, 5 in, and 8 in.

What is obtuse triangle?

When given 3 sides of a triangle, the longest side must be less than the sum of the other 2 sides.

8 < 4 + 5 so a triangle can be formed.

In fact it will be an obtuse triangle.

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Answer:

55°

Step-by-step explanation:

m∠D = m∠A + m∠B since for a triangle, the exterior angle = sum of interior angles

We can rewrite this as
m∠A + m∠B = m∠D

Given m∠A = (2x)°  , m∠B = (3x + 41)° and m∠D = 124° and substituting in the above equation,

2x + (x + 41.5) = 124

2x + x + 41.5 = 124

3x + 41.5 = 124

3x = 124 - 41.5 = 82.5

x = 82.5/3 = 27.5

But m∠A = (2x) = 2 x 27.5 = 55°

Answer:

F(x)=82(2)+il/3

Step-by-step explanation:

Answer: 2605 more on weekdays

Step-by-step explanation:

14239 - 11634 = 2605

The value of the given function when x = -2 is; y = 1

We are given a linear graph as seen in the given image. Now, in graphs like these, there are input values which are x-values while there are also output values which are values on the y-axis.

Now, looking at the graph, we can see that;

At x = 5, y = -6

At x = 4, y = -5

At x = 3, y = -4

At x = 2, y = -3

At x = 1, y = -2

At x = 0, y = -1

At x = -1, y = 0

At x = -2, y = 1

Thus, we can conclude that the value of the given function when x = -2 is, y = 1

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The system of inequalities is:

x + y ≤ 120

x*3 + y*6 ≥ 480

And one possible solution to it is x = 20 and y = 80.

First, we need to define two variables, we will be using:

We know that she can make at most 120 units, then:

x + y ≤ 120

And she wants to win at leastt $480, then:

x*3 + y*6 ≥ 480

So our system of inequalities is:

x + y ≤ 120

x*3 + y*6 ≥ 480

And the graph can be seen in the image below, the solution set of the system is given by the region where both shaded areas intersect.

There we can see that one possible solution is x = 20 and y = 80, in that case the total number of items made is:

20 + 80 = 100, which is less than 120

And the income is:

20*3 + 80*6 = 540.

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Answer:

the horizontal and vertical lines passing through the point (1,6)

y-6=

x-1=

Step-by-step explanation:

Answer:

x=1 and =

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

Answer:

y = x²+2x-3

Step-by-step explanation:

y = a(x-p)(x-q)

p = 1

q = -3

a = 1

y = 1(x-1)(x-(-3))

y = (x-1)(x+3)

y = x²+2x-3

Answer:

Your axis will be _8 and make straight lines to (4.-4)

Answer:

-1/10

Step-by-step explanation:

1/2-6/10

5/10-6/10

= -1/10