What is 79,300 written in scientific notation?
O
A. 7.93 x 104
OB. 7.93 x 105
O Ос C. 79.3 x 104
OD. 79.3 x 105

Answer:

A function is increasing when the gradient is positive

A function is decreasing when the gradient is negative

Question 7

If you draw a tangent to the curve in the interval x < -2 then the tangent will have a positive gradient, and so the function is increasing in this interval.

If you draw a tangent to the curve in the interval x > -2 then the tangent will have a negative gradient, and so the function is decreasing in this interval.

If you draw a tangent to the curve at the vertex of the parabola, it will be a horizontal line, and so the gradient at x = -2 will be zero.

The function is increasing when x < -2

[tex](- \infty,-2)[/tex]

The function is decreasing when x > -2

[tex](-2, \infty)[/tex]

Additional information

We can actually determine the intervals where the function is increasing and decreasing by differentiating the function.

The equation of this graph is:

[tex]f(x)=-2x^2-8x-8[/tex]

[tex]\implies f'(x)=-4x-8[/tex]

The function is increasing when [tex]f'(x) > 0[/tex]

[tex]\implies -4x-8 > 0[/tex]

[tex]\implies -4x > 8[/tex]

[tex]\implies x < -2[/tex]

The function is decreasing when [tex]f'(x) < 0[/tex]

[tex]\implies -4x-8 < 0[/tex]

[tex]\implies -4x < 8[/tex]

[tex]\implies x > -2[/tex]

This concurs with the observations made from the graph.

Question 8

This is a straight line graph. The gradient is negative, so:

The function is decreasing for all real values of x

[tex](- \infty,+ \infty)[/tex]

But if they want the interval for the grid only, it would be -4 ≤ x ≤ 1

[tex][-4,1][/tex]

Question 9

If you draw a tangent to the curve in the interval x < -1 then the tangent will have a negative gradient, and so the function is decreasing in this interval.

If you draw a tangent to the curve in the interval x > -1 then the tangent will have a positive gradient, and so the function is increasing in this interval.

If you draw a tangent to the curve at the vertex of the parabola, it will be a horizontal line, and so the gradient at x = -1 will be zero.

The function is decreasing when x < -1

[tex](- \infty,-1)[/tex]

The function is increasing when x > -1

[tex](-1, \infty)[/tex]

The equation of the value of the car over a year is 2357.14x + y = 33,000. Then the value of the car 4 years after it was purchased is $23571.43.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A new car is purchased for $33,000 and overtime its value depreciates by one half every 7 years.

Then the value of the car is given by the linear equation. Then the line is passing through (0, $33,000) and (7, $16,500). Then we have

Let y be the value of the car and x be the number of years. Then we have

[tex]\rm y \ - \ 33000 \ \ = -\dfrac{16,500}{7} (x-0)\\\\y+2357.14x = 33000[/tex]

Then the value of the car 4 years after it was purchased, to the nearest hundred dollars will be

[tex]\begin{aligned} \rm y +2,357.14 \times 4 &= 33,000\\\\\rm y + 9,428.57 &= 33,000\\\\\rm y &= 23,571.43 \end{aligned}[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

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The equation of the directrix to the right of the center is equal to 2.8.

Given the following data:

(x - 1)²/9 - (y - 2)²/16 = 1.

Mathematically, the standard equation of the directrix lines for a hyperbola of the form (x - h)²/a² - (y - k)²/b² = 1 is given by:

x = h ± a²/√(a² + b²)

Where:

Substituting the given parameters into the standard equation, we have;

x = 1 ± a²/√(a² + b²)

x = 1 ± 9/√(9 + 16)

x = 1 ± 9/√25

x = 1 ± 9/5

x = 1 + 9/5

x = 1 + 1.8

x = 2.8.

Read more on directrix here: https://brainly.com/question/2346582

Answer: The answer is 2.8

Step-by-step explanation:

The number of students in the survey said that math was their favorite subject is given by: Option D: 123

Conditional relative frequency is relative frequency conditional to some special characteristic.

For this case, we're specified the following table:

[tex]\begin{array}{cccc}&\text{Math}&\text{Other favorite subject}&\rm Total\\\text{Male}&0.35&0.65&1.0\\\text{Female}&0.45&0.55&1.0\\\rm Total &0.41&0.59&1.0 \end{array}[/tex]

It is given that:

We have to find how many students in the survey said that math was their favorite subject.

From males, 0.35 out of 1 male said math was their favorite subject. (since total in male is 1, showing that the row of males got conditional relative frequency conditional to the gender male, and relative to the total count of males).

Thus, as out of 1, there was 0.35 supporter of math (from males), so from 120 male students, there were [tex]120\times 0.35 = 42[/tex] male students who had chosen math as their favorite subject.

Similarly, 0.45 per 1 female student chose their favorite subject as math.

Since there are 180 female students, therefore, total [tex]180\times 0.45 = 81[/tex] female students had chosen math as their favorite subject.

So, total 42+81=123 students had chosen math as their favorite subject.

Thus, the number of students in the survey said that math was their favorite subject is given by: Option D: 123

Learn more about conditional relative frequency here:

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Answer: D-123

Step-by-step explanation:

Answer:

6 art course and 7 writing coures

Answer:

30 Pages

Step-by-step explanation:

Make a ratio:

[tex]\frac{3}{6} =\frac{x}{60}[/tex]

Cross multiply:

180=6x

Divide both sides by 6:

x=30

Answer:

30

Step-by-step explanation:

divide 60 by 6 and you get 10. Then take 10 and times it by 3

Answer:

option B

option C

4:40pm

2:45pm

option d

3:30

Step-by-step explanation:

please consider as brainlest que.

Answer:

       [tex]\huge\boxed{\sf 10x^2-13x-3}[/tex]

Step-by-step explanation:

[tex]=(2x-3)(5x+1)\\\\=2x(5x+1)-3(5x+1)\\\\Distribute\\\\= 10x^2+2x-15x-3\\\\= 10x^2-13x-3\\\\\rule[225]{225}{2}[/tex]

Based on the calculations, the number of Jamal's triangle that are obtuse are: C. 3.

In order to determine an obtuse triangle, we would apply Pythagorean theorem:

c² = a² + b²

Where:

For an obtuse triangle, the square of the hypotenuse is greater than the sum of the square of both the adjacent and opposite side:

c² > a² + b²

For Triangle 1, we have:

7² > 6² + 3²

49 > 36 + 9

49 > 45 (obtuse triangle).

For Triangle 2, we have:

8² > 6² + 3²

64 > 36 + 9

64 > 45 (obtuse triangle).

For Triangle 3, we have:

8² > 7² + 3²

64 > 49 + 9

64 > 58 (obtuse triangle).

For Triangle 4, we have:

8² > 6² + 7²

64 > 36 + 49

64 < 85 (not obtuse triangle).

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Answer: the answer is C 3.

Step-by-step explanation: it show below.

Answer:

0.667x

Step-by-step explanation:

150% = x

100% = ?

=> 100% * x / 150% = 0.667x

Answer:

The answers are in the image.

Step-by-step explanation:

Charlie made the mistake by not getting the equation equal to zero.

[tex]x^2 - 9x + 8 = 16[/tex]

Subtract 16 to both sides making it equal to 0.

[tex]x^2 - 9x - 8 = 0[/tex]

Using Quadratic Formula to Solve for x.

Let's solve this problem step-by-step

Let's set:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

   x + 4(2) = 20

   x = 20 - 8

   x = 12

Thus x = 12 and y = 2

Let's check, by substituting these values

  [tex]2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20[/tex]

Answer: x = 12 and y = 2

Hope that helps!

Answer:

-9²

81¹

They both are equal to 81.

Answer:

212

Step-by-step explanation:

starting with (xy)

you first plug in x=2 and y=3

(2×3) = 6

then we add in the exponent of 3

6^3 = 216

this is because an exponent shows you how many times the number is multiple by itself (6×6×6)

next we work on x^4 by plugging in x=2

2^4=16

2×2×2×2

we do the same for x^2

2^2=4

2×2

next we do the division

16/4=4

finally we take the 216 and 4 and do the subtraction

216-4=212

Answer:5

Step-by-step explanation: Divide 60 By 12

Answer:

the answer is 5 rocks.

Step-by-step explanation:

Sinice there are 12 boxes and has 60 rocks. So that means we will divide the two to get 5bwhich is in each box.

Answer:

Lateral surface: 135.34

surface area: 185.61

Step-by-step explanation:

Lateral surface formula: AL=πrh2+r2

surface area formula: A=πr(r+h2+r2)

Answer:

2nd one - blue triangle

Step-by-step explanation:

A right angle triangle is a triangle that has a angle of 90°

Therefore our answer is second one - blue triangle.

Hope this helps and branliest please

Answer:

2nd triangle.

Step-by-step explanation:

For a triangle to be considered as a eight triangle it should have one angle which is equal to 90° in measure.

Here, the second triangle has 90° & hence is a right triangle.

________

Hope it helps ⚜

Answer:

x≈49.457

y≈40.543

using trigonometry

Step-by-step explanation:

you basically jump type in the calculator shift then press the (sin/cos/tan) then put the ratio

Answer:

(2, -1)

Step-by-step explanation:

Given

Solving

Answer:

The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

Step-by-step explanation:

Step 1:  Order from least to greatest

51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98

Step 2:  Determine the median of the lower half of the data

There are 12 numbers which means that there is going to be 6 numbers on both sides of the data.  So using the first 6 numbers we will be able to determine the median of the lower half of the data.

51, 56, 62, 72, 79, 81

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

(62 + 72) / 2 = 67

Step 3:  Determine the median of the upper half of the data

So using the first 6 numbers we will be able to determine the median of the upper half of the data.

82, 85, 89, 95, 97, 98

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

(89 + 95) / 2 = 92

Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

Answer:

V = Bh = πr2h

Step-by-step explanation:

Answer: D.

Step-by-step explanation:

The equation [tex]f(x) = (x-1)^{2} - 2[/tex] works only for option D. If x is 2, for example, the equation would look like this: [tex]f(2) = (2-1)^{2} - 2[/tex]. This equals [tex](1)^{2} - 2[/tex] which equals negative one. Therefore, when x is 2, y is -1. All of the graphs have the point (2, -1). We can still tell though that it is not A or B because there are spaces in between the points. If x = 2.2, the equation would not work for A or B because there is not a point with an x value of 2.2. This is different for both C and D. Δ

Answer C ends off early. There are endpoints to the figure. If x = 4, the equation would not work. This is because there is no point in answer C that has an x value of 4. On the other hand, question D does have a point with an x value of 4.

If x = 4, the equation looks like [tex]f(4) = (4-1)^{2} - 2[/tex].

We can simplify this to [tex]f(4) = (3)^{2} - 2[/tex]

and then [tex]f(4) = 7[/tex]

This means that when x is 4, y is 7. This is true for no graph but option D. Therefore the answer to this problem is D.

solving the equation given to us first:

-5x/2 = 5/1 ( ignore the ≤ symbol for now and replace with =) and cross multiply

you will get

-5x = 10

x = -10/5 ( minus doesn't stay in denominator so so we take up to numerator )

x = -2

so x ≤ -2

NOTE: if we have ≤ we shade the dot but if we have just < or we don't shade the dot.

soooo

x ≤ -2 will be going backwards

so the answer is option (C).

Hope this helps.

Good luck.

Answer:

7:15

Step-by-step explanation:

Total Students = 14+16 = 30

14:30

Divide by 2 on Both Sides

7:15

Answer: 7 to 15 hope it helps pretty Shure it will

Step-by-step explanation: I took the quiz

Answer:

It would take 6.4 fluid ounces. i think I got the same chainsaw or at least gas mix

Answer:

Step-by-step explanation:

Selling price = Cost price + Marked price - discount

            s   =  c + m - d

Answer:

Step-by-step explanation:

Answer:

it's C

Step-by-step explanation:

i took the test and got it right

Answer:

it's [C]  I got it right on my test

Step-by-step explanation: