Approximate the solutions to this system. y=3x^2+x-6
y=x-4
Round your answer to the nearest hundredth.
​

Answer:

=> 83mg ,85mg ,89mg ,100 mg ,104 mg

[tex] = > (\frac{n + 1}{2})[/tex]

[tex] = > ( \frac{5 + 1}{2}) \\ = > \frac{6}{2} \\ = > 3[/tex]

[tex] \\ \\ [/tex]

Hope it helps

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The median amount of vitamin C in the different varieties is 89mg.

The median is the value that's exactly in the middle of a dataset when it is ordered.

Given:

104, 85, 83, 100, 89

On arranging the given data:

83, 85, 89, 100, 104

as, the data is in odd number.

So,

median = (n+1)/2

=(5+1)/2

=3

The third element is 89.

Hence, the median amount of vitamin C in the different varieties is 89mg.

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Answer:

C. 500

Step-by-step explanation:

Given that

The ordering cost per order is $50

The carrying cost percentage is 20%

The weekly demand is 100 units and there are 50 weeks in the work year

The cost per unit is $10

We need to find out the economic order quantity i.e. EOQ

So we applied the above formula

= √(2 × weekly demand × no of weeks × ordering cost) ÷ √(carrying cost × cost per unit)

= √(2 × 100 × 50 × $50) ÷ √(20% × $10)

= √(500,000 ÷ 2)

= 500 units

hence, the option c is correct

The transformation of function y = |x| is g(x) = f(x + 4) + 2. The equation of transformed graph is y = |x + 4| - 2

What is a function?

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Given function is y = |x|.

The vertex is (0,0). The vertex of the transformed function is (-4,-2)

It means the graph is shifted 4 units left sides and 2 unit downward direction.

The graph of f(x) is horizontally shifted by a units on left side then the equation function becomes f(x + a).

The graph of f(x) is horizontally shifted by a units on right side then the equation function becomes f(x - a).

The graph of f(x) is vertically shifted by a units upward then the equation function becomes f(x)+a.

The graph of f(x) is vertically shifted by a unit downward then the equation function becomes f(x)-a.

The equation of the transformed equation is g(x) = f(x + 4) - 2

g(x) = |x + 4| -2

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Answer:

x = 45°

Step-by-step explanation:

x° + 45° + 90° = 180°

x° + 135° = 180°

x° = 180° – 135°

x° = 45°

i hope this helped

The nth term of the following sequence is: 5n²

Arithmetic sequence is a sequence where each consequtive term has a common constant difference.

An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.

We are given the sequence are;

5, 20, 45, 80, 125

The quadratic sequence formula : an²+bn+c

2nd difference 2a = 10

a = 5

1st difference 3a+b = 15

Then substitute 5

3(5)+b = 15

b = 0

The nth term rule : a + b + c = 5

Now substitute a and b values into equation

5 + 0 + c = 5

c = 0

The nth term is: 5n²

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Answer:

  True

Step-by-step explanation:

You want to know if it is true or false that "two angles add up to 180° if and only if they are supplementary."

Two supplementary angles have a sum of 180°. That is the definition of supplementary angles. The offered statement is True.

Answer:

Step-by-step explanation:

1 in a tenth of a million. I did the math with all the cards and how many are kinds diamonds or red or queens yk.

Answer:

21.75 or 21 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

What I did was 14.5 / 2 to see how many miles were on a 1/3 gallon, then multiplied that answer (which was 7.25) by 3 to get the full 3/3 or 1 gallon.

Answer: the answer is b?

hope this helps

Answer:

[tex] \sf \: d) \: 82[/tex]

Step-by-step explanation:

Given information,

→ d = 10

→ u = 7

→ e = 3.2

The expression is,

→ d(e + 5)

Let's evaluate the expression,

→ d(e + 5)

→ 10(3.2 + 5)

→ 10 × 8.2

→ 82

Hence, option (d) is correct.

Answer:

Option D) 82

Step-by-step explanation:

Given ,

d = 10

u  = 7

e = 3.2

To Find  : [tex]d(e+5)[/tex]

Applying the values in the equations we get

[tex]10(3.2+5)\\[/tex] Applying Distributive property

[tex]32+50 = 82[/tex]

Hence , Option D) is the answer

Answer:

B. 12

Step-by-step explanation:

Your ratio of 5:3 means that the ratio includes 8 objects (5+3). If you multiply the whole ratio by 4, then you have 32 objects on your table. Multiplying your ratio by 4 gives you 5*4 : 3*4 which is 20:12. and since 20 is your amount of books and 12 is your amount of calculators, you have 12 calculators on your table.

The house is located 6.87 miles to the east of the cell tower.

“In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Given:

Let the center of the town represent the origin (0,0).

Also 1 unit = 1 mile.

Since the cell tower is located 3 miles east and 6 miles north of the center of a small town, it is represented by A(3, 6)

The cell tower has a coverage of radius 4 miles. This can be represented by a circle with equation:

(x - a)² + (y - b)² = r². where (a,b) is the center of the circle and r is the radius.

Then, (x - 3)² + (y - 6)² = 4²

(x - 3)² + (y - 6)² = 16

b) The house is 7 miles north. It can be represented by y = 5 line.

To find the distance east of the house we have to substitute y = 5 and solve for x,

(x - 3)² + (y - 6)² = 16

(x - 3)² + (5 - 6)² = 16

(x - 3)² + 1 = 16

(x - 3)² = 15

(x - 3) = ±3.87

x= 3 ±3.87

x= 6.87 or 0.87.

Hence, the house is located 6.87 miles to the east.

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Answer:

True

Step-by-step explanation:

First, you need to subtract a then that would make a 0

Answer: true

Step-by-step explanation: c and d are the same, so a+c and a+d will be the same

I think it's 84 I'm not good with math though I multipled 7 and 12

The equation of rational function is (c) g(x) = (2x + 4)/(x + 1).

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that,

The function g(x).

The graph of a function never touches the x = 1 line

At x = -1 there will be a vertical asymptote.

At x = -2 there will be a horizontal asymptote.

The equation of the function g(x) will be:

g(x) = (2x + 4)/(x + 1)

The equation of rational function is g(x) = (2x + 4)/(x + 1)

Therefore,  g(x) = (2x + 4)/(x + 1) is correct.

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Answer:

y = 2 x 2 + 2 x + 4 should be the function.

Step-by-step explanation:

The last one can be anything, it said to predict so basically guess. From what I read from the graph, the y ( number of fruit flies ) doubles.

4 + 4 = 8

8 + 8 = 16

16 + 16 = 32

32 + 32 = 64

I'm sure your able to catch on.

I put a photo of the graph for your sketch, if you need help labeling then you can ask me :)

Answer:

6884

Step-by-step explanation:

8x8x5

Considering the definition of a line, the correct answer is option A: the equation of the line in point-slope form is y + 7= 3/8(x- 15.2)

A linear equation o line can be expressed in the form y = mx + b

where

The point-slope form of an equation of a line is written as y-y₁=m(x-x₁)

where:

In this case, you know:

The point-slope form of the line is written as:

y- (-7)= 3/8(x- 15.2)

y + 7= 3/8(x- 15.2)

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Answer:

Step-by-step explanation:

A. 39ft2

you draw a line at top of shape. that small rectangle area is 3ft2. the bigger rectangle area is 36ft2. 36+3= 39ft2

Answer:

[tex]\text{This is a fairly simple problem:}\text{Answer= }3*1+36=39ft^2[/tex]

A

Answer:

p = 20

Step-by-step explanation:

120 divided by 6 would = 20

Answer: p = 20

Step-by-step explanation:

120/6=20

6x20=120

The property that could be used to determine that the triangles are congruent is the SSA congruent theorem

From the question, we have the following parameters that can be used in our computation:

Triangles = QRP and XWY​

On the triangles, we can see that:

This means that we make use of the SSA congruent theorem

The SSA congruent theorem implies that  if two sides and an angle not included between them are respectively equal to two sides and an angle of the other than the two triangles are equal.

In this case, we have

Congruent sides: RQ and HG & PR and HF

Congruent angles: Angles Q and G

Hence, the additional information on the congruency of the triangles is the SSA theorem

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Answer:

pretty sure its 499 or 498 but im horible at math so dont quote me on that

tep-by-step explanation:

Answer:

B. 4760 in³

Step-by-step explanation:

V= l×w×h

=34×10×14

=4760 in³

a). The number of scores which are expected to be lower than 18.31 is; 16 scores.

b). The number of scorers that are expected to be below 32.38 is; 98 scores.

As evident in the task content; the 100 ACT scores in discuss are normally distributed, hence, all peculiar characteristics of a normal distribution apply.

First, since the mean is given as; 23 and the standard deviation is; 4.69.

By observation; 23 - 4.69 = 18.31 and

23 + 4.69 + 4.69 = 32.38.

a). Since the percentage of data values which fall below one standard deviation below the mean is; 15.9% which is approximately; 16%.

Therefore, the number of scores below the 18.31 score is; 16% of 100 = 16 scores.

b). Also, since the score; 32.38 is 2 standard deviations above the mean, and it follows from a normal distribution that the percentage of data values below such data value is; 97.7% which is approximately 98%.

Therefore, the number of scores which are expected to be below 32.38 is; 98% of 100 = 98.

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One possible equation is (6b+2)+40 = 90

That equation solves to b = 8

======================================================

Explanation:

The angles (6b+2) and 40 degrees combine to form a right angle, aka 90 degree angle. This is because the upper angle is 90 degrees, so the remaining portion is 180-90 = 90.

So (6b+2)+40 = 90 is one possible equation.

Let's solve for b.

(6b+2)+40 = 90

6b+42 = 90

6b = 90-42

6b = 48

b = 48/6

b = 8

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

A slight alternative.

The angles (6b+2), 40, and the 90 degree angle form a straight line.

The three angles add to 180

(6b+2)+(40)+(90) = 180 is another possible equation

6b+132 = 180

6b = 180-132

6b = 48

b = 48/6

b = 8

Step-by-step explanation:

x + 6y = 8 ........... ( ×2 ) ....... ( 1 )

2x + 4y = -8 ......... ( × 1 ) ....... ( 2 )

2x + 12y = 16

- - -

2x + 4y = -8

+12y - ( +4y ) = 16 - 8

12y - 4y = 8

8y = 8

divide both sides by the coefficient of y ( 8 )

8y / 8 = 8 / 8

y = 1

substitute for x in equation ( 1 )

x + 6y = 8

x + 6 ( 1 ) = 8

x + 6 = 8

x = 8 - 6

x = 2

x = 2 , y = 1

Answer:

there are no brown socks

Step-by-step explanation:

there is zero possibility of pulling a brown sock from the drawer fro this to be possible there would have to be no brown socks

Answer: A

Step-by-step explanation: 2.5 inches = 63.5 millimeters