On the following set of axes, create the graph of a function f (x) with the following characteristics:
Passes through the points,
(-8,0), (5,-2) and (8,3)

Answer:

100

Step-by-step explanation:

10,000 * 100 = 1,000,000

So there are 100 ten thousands in 1,000,000

Answer:

([tex]6 - \sqrt{31}[/tex], [tex]6 + \sqrt{31}[/tex])

Step-by-step explanation:

[tex]x^{2}-12x+5 < 0[/tex]

To solve this inequality, we can start by completing the square.  To do this, we divide the x coefficient (-12) by 2 and then square it.  We then add the result to the left side of the equation.  To ensure the inequality remains true, we also subtract it.

[tex]x^{2}-12x+(-6^{2})-(-6^{2}) + 5 < 0\\x^{2}-12x+36-36 + 5 < 0\\[/tex]

We can then express the first trinomial as a perfect square.

[tex](x-6)^{2} - 31 < 0[/tex]

Add 31 to both sides:

[tex](x-6)^{2}< 31[/tex]

Then take the square root of both sides:

[tex]x-6<[/tex] ± [tex]\sqrt{31}[/tex]

Finally, add 6 to both sides:

x < 6 + [tex]\sqrt{31}[/tex]

x > 6 - [tex]\sqrt{31}[/tex]

The solution to the inequality in interval notation is shown by option A

An inequality in mathematics describes how two expressions relate to one another by indicating whether one expression is greater, smaller, equal to, or not equal to the other.  Inequalities are denoted by symbols.

We have to use the quadratic formula that states that;

x < (-b ± √([tex]b^2[/tex] - 4ac)) / 2a

So we have that;

x < [12 ± √([tex](-12)^2[/tex] - 4 * 1 * 5)] / 2 * 1

Thus we would obtain in the end;

6 - √31 < x < 6 + √31

Learn more about inequality:https://brainly.com/question/28823603

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Answer:

C. 9

Step-by-step explanation:

The measure of a triangle is 180.  

Make all the angles equal 180.

50+80+6x-4=180.

Solve.

6x=54

x=9

Answer:

9

Step-by-step explanation:

All triangle angles add up to 180 degrees.

50 + 80 + (6x - 4) = 180

130 + (6x - 4) = 180

-130                  -130

6x - 4 = 50

+4          +4

6x = 54

/6      /6

x = 9

Answer:

D

Step-by-step explanation:

[tex](x_{1},y_{1}) = (2 , 2)\\\\ (x_{2},y_{2}) = (3 , 5)\\\\\\Midpoint=\left(\dfrac{x_{1}+y_{1}}{2},\dfrac{x_{2}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{3+2}{2},\dfrac{5+2}{2} \right)\\\\\\= \left(\dfrac{5}{2},\dfrac{7}{2} \right)[/tex]

Answer:

Step-by-step explanation:

Okay, so the point-slope form is  

(y - y1) = m(x - x1)  

Where m = the slope of the line

and where (x1, y1) is a point on the line

So, if the slope is 6, then m = 6

Now, you plug that and the point (4, -9) into the equation above.

(y -(-9)) = 6(x - 4)

y + 9 = 6(x - 4)

This is the point slope form of the line

Answer

158 with a remainder of 5 ( also expressed as 953/6 OR 158.333333333333)

Step-by-step explanation:

I wasn't sure if you wanted a fraction, so I put two forms of the answer.

Answer:

Step-by-step explanation:

Mass of the planet:

The water's mass:

Mass of the planet's water:

I think it wants you to remove the squares.

See if this works :)

Answer:

9

Step-by-step explanation:

8000000000000

9

0

9

Answer:

100 101 102 103 104 105

Step-by-step explanation:

im kinda confused

Answer:

y=-3/2x+5

Step-by-step explanation:

The line intersects with points (2,2) and (4,-1). Slope intercept form is y=mx+b, where m is slope and b is the y intercept. The y intercept appears to be at (0,5), so b=5. As for the line, the formula for calculating slope is y2-y1/x2-x1 (the order of the points you use actually does not matter; you just have to make sure both coordinates from the same point are placed in the same part of the formula). -1-2/4-2=-3/2. Therefore, the slope is -3/2 (or -1.5 if you want a decimal).

Answer:

1 in 10 chance

Step-by-step explanation:

There are 10 cards, so since you reach into the bag and pull out only 1 card, there is a 1 in 10 chance.

Using the probability concept, it is found that:

a) P{X + W = 1} = 0

b) P{X = 2, Y = W} = 0.0667

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, the order in which the balls are chosen is not important, hence, the combination formula is used to find the number of outcomes.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In total, 8 balls are chosen from a set of 19, hence:

[tex]T = C_{19,8} = \frac{19!}{8!11!} = 75582[/tex]

Item a:

Not possible, hence:

P{X + W = 1} = 0

Item b:

Hence:

[tex]D = C_{6,2}C_{9,3}C_{4,3} = \frac{6!}{2!4!} \times \frac{9!}{3!6!} \times \frac{4!}{3!1!} = 5040[/tex]

Then, the probability is:

[tex]p = \frac{D}{T} = \frac{5040}{75582} = 0.0667[/tex]

P{X = 2, Y = W} = 0.0667

A similar problem is given at https://brainly.com/question/15536019

Answer:

letter A or B but I think it's letter b

Answer:

The answer is A

Step-by-step explanation:

on edge 2021

Answer:

x = 67°

Step-by-step explanation:

angle FGD and angle CGE are vertical angles, meaning that they both have the same value. This concludes that angle FGD must be 23°. Now, we have to find angle x. We know that angle x and angle FGD are complementary, meaning they sum to 90°. Therefore, x = 90° - 23° = 67°.

Answer:

b

Step-by-step explanation:

236

Answer:

my answer is C/386

Step-by-step explanation:

x/2+74+42+77=x

Answer:

y = -2x-1

Step-by-step explanation:

The formula for a line is [tex]y-y_{1} = m(x-x_{1})[/tex].

Plug in the information given in the problem: y-(-7) = -2(x-3)

So you get y+7 = -2x+6.

The final form you want needs to be equal to y (that means you want y by itself on the left side of the equals), so subtract 7 from both sides.  

You get y = -2x-1

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-7})~\hspace{10em} m = -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-2}(x-\stackrel{x_1}{3}) \\\\\\ y+7=-2x+6\implies \blacktriangleright y=-2x-1 \blacktriangleleft[/tex]

Answer:

In theory I would have started looking at the critical points of the function, ie where the tangent plane is horizontal. Trick is, since the function is linear in both x and y the tangent plane is the curve itself, and it's never horizontal. We have to parametrize the border and look in there.

From the last two conditions ([tex]x>0; y>0[/tex]) we are looking only at the first quadrant. Let's start drawing lines.

The various restrains are color coded in the graph ([tex]x+2y<10[/tex] is red, [tex]x+y<6[/tex] is blue, [tex]x>4[/tex] is orange). That leads to the right triangle with a grey border that gets parametrized as shown. Due to the linearity of the original function, the maximum is at one of the extremes (upper or lower depending if the coefficient of the parameter is positive or negative). At this point is just calculating the values, pick up the largest, and see which points correspond to that value of the parameter.

Number crunching done, the maximum is at (4,2)

Answer:

At the store the ratio of books sold to movies sold was 4:5.For every 4 books sold there were 5 movies sold.

Step-by-step explanation:

Answer:

3 over5 multiplied by 320 equals 192

Answer:

Jessica (23,450 stickers)

we have 46 + (-4) = 46 - 4 = 42

so the answer is B

ok done. Thank to me :>

Answer:

- we can find the slope of the equation for the table and then plug in values into y = mx+b to find the full equation

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

700 in^2

Step-by-step explanation:

If A = 225 in- when b = 18 in. and h = 25

225 = 18 * 25 / 2

a = 35 * 40 / 2

a = 700

Answer:

Arithmetic, common difference is -11

Step-by-step explanation:

19, 8, -3, -14

common difference = d = 8 - 19 = -11

-3 - 8 = -11

-14 - (-3) = -11

Arithmetic, common difference is -11

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation: