If f(x) = x/2 -3 and g(x) = 3x2 +x-6 find (f+g) (x)

Answer: 1000 hours.

Step-by-step explanation: To travel 9 x 10^8 feet, it would take (9 x 10^8)/15000 minutes. This equals 60000 minutes. We divide this number by 60 to convert to hours. This equals 1000 hours.

Answer:

BC = 6 units

Step-by-step explanation:

In triangle ACD, BE || CD (given)

Therefore, by Basic Proportionality Theorem, we have:

[tex]\frac{AE}{ED} =\frac{AB}{BC} \\ \\ \therefore \: \frac{16}{8} = \frac{12}{BC} \\ \\ \therefore \: \frac{2}{1} = \frac{12}{BC} \\ \\ \therefore \: BC = \frac{12}{2} \\ \\ \therefore \: BC =6 \: units[/tex]

Step-by-step explanation:

14a. One method is two solve for x. Edit: I accidentally press sent. Repost the question and I'll answer it.

9514 1404 393

Answer:

  22/21

Step-by-step explanation:

Taking the derivative, we have ...

  2x·dx +2y²·dx +4xy·dy +3·dy = 0

  dx(2x +2y²) +dy(4xy+3) = 0

At the given point, this is ...

  dx(2·2 +2·(-3)²) +dy(4·2·(-3) +3) = 0

  22dx -21dy = 0

  dy/dx = 22/21

The slope of the tangent at the point of interest is 22/21.

Answers:

First bottle's unit cost = 27 cents per oz

Second bottle's unit cost = 27 cents per oz

Both have the same unit cost.

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

Work Shown:

unit cost = price/(number of ounces)

1st bottle unit cost = (1.35)/(5) = 0.27 dollars per oz = 27 cents per oz

2nd bottle unit cost = (2.16)/(8) = 0.27 dollars per oz = 27 cents per oz

Both lead to the same unit cost. Therefore, you can pick either option and it doesn't matter.

[tex]\\ \sf\longmapsto UV=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto UV=\sqrt{(-5-2)^2+(-3+2)^2}[/tex]

[tex]\\ \sf\longmapsto UV=\sqrt{(-7)^2+(-1)^2}[/tex]

[tex]\\ \sf\longmapsto UV=\sqrt{49+1}[/tex]

[tex]\\ \sf\longmapsto UV=50[/tex]

Answer:

Roughly 2,000 times

Step-by-step explanation:

47 x 43 = 2,021

                                                  Thank You

Answer:

19.95

Step-by-step explanation:

Take the amount of his salary and multiply by 5 1/4 %

380 * .0525

19.95

Answer:

8, 10, 4, 7

Step-by-step explanation:

Missing side = x

Rules for x:

It should be less than the sum of the other two sides

It should be greater than the difference of the other two sides

8 + 10 = 18

10 - 8 = 2

2<x<18

8, 10, 4, 7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

20x⁵⁰

Step-by-step explanation:

With the equation √400x¹⁰⁰

we need to take the square root away separately

√400 = √20*20 = 20

Then with x¹⁰⁰

√x¹⁰⁰ = √x⁵⁰*x⁵⁰ = x⁵⁰

So √400x¹⁰⁰ = 20x⁵⁰

hope this helps

9514 1404 393

Answer:

  A. False

  B. False

  C. True

  D. True

  E. False

Step-by-step explanation:

A. False -- any triangle has at least two acute angles, whether it is acute, right, or obtuse.

B. False -- by definition, any polygon that is not convex is concave.

C. True -- the angle sum is the same regardless of whether the pentagon is convex or concave. (Provided it is a "simple" polygon, with no crossing sides.)

D. True -- the measure of the interior angle of a regular polygon increases as the number of sides increases. (see E)

E. False -- the exterior angles of a regular polygon are 360° divided by the number of sides. As the number of sides increases, the measure of each exterior angle decreases. (Interior angles are the supplement of exterior angles, so they increase as the number of sides increases.)

Answer:

70kg- weight of the bag of beans, 90 kg- weight of the bag of salt

Step-by-step explanation:

Suppose the mass of a bag of beans - x kg, the mass of a bag of salt - y kg

The mass 2 bags of beans 2x, The mass 3 bags of salt 3y

2x+3y= 410

The mass of 3 bags of beans 3x, for 2 bags of salt it is 2y

3x+2y=390

We have system of equations (the equations are simultaneous)

2x+3y=410

3x+2y=390

2x= 410-3y

x=205-1.5y

3* (205-1.5y)+2y=390

615-4.5y+2y=390

2.5y= 225

y=90- the mass of the bag of salt

x= 205 - 1.5*90= 205-135= 70- the mass of the bags of beans

Since X₁ and X₂ are independent, we have

Var[X₂ - 3X₁] = Var[X₂] + (-3)² Var[X₁]

Var[X₂ - 3X₁] = 8 + 9 × 1

Var[X₂ - 3X₁] = 17

Then the standard deviation of X₂ - 3X₁ is the square root of the variance, √17.

Answer:

Number 1

Step-by-step explanation:

I can answer the first one! The dependent variable is the measurement. The days in the independent and always the X variable

Answer:

Step-by-step explanation:

The measurement of the plant height. That (presumably) is dependent on the amount of fertilizer. Everything else is held constant (such amount of water, amount of sunlight, even distance from a window (constant heat), is held the same for all plants.

Answer:

78 units2

Step-by-step explanation:

The Area of the triangle is 54 units2

The rectangle on the side has an area of 24 units2.

Add them together, and you get 78.

I hope this helps!

pls ❤ and give brainliest pls

The perimeter of the swimming pool is 15m

A swimming pool is rectangular in nature. The perimeter of the rectangular pool is expressed using the formula;

[tex]P=2(L+W)[/tex]

Given that

Length L = 4.5m

Width W = 3m

Get the perimeter

[tex]Perimeter = 2(4.5+3)\\Perimeter = 2(7.5)\\Perimeter = 15m[/tex]

Hence the perimeter of the pool is 15m

1.1.4 Rate is defined as the ratio between two quantities with a different unit. Examples of rates are;

The ratio is simply defined as the ordered pair between two variables x and y, For instance,

Learn more on ratio and rate here: https://brainly.com/question/24325733

Answer:

[tex]W = 5h - 90 \\ 5h = W + 90 \\ h = \frac{W + 90}{5} [/tex]

Answer:

h = w+90/ 5

Step-by-step explanation:

5h-90=w

5h/5= w+90/5

h= w+90/5

Step-by-step explanation:

[tex]\triangle{ABC}[/tex] is similar to [tex]\triangle{ADE}[/tex] so we can write the ratio

[tex]\dfrac{x}{6+4} = \dfrac{2}{6}[/tex]

Solving for x, we get

[tex]x = \left(\dfrac{2}{6}\right)(10) = \dfrac{10}{3}[/tex]

Answer:

x = -1

Step-by-step explanation:

The graph's turning point is at ( -1 , 1 ), therefore the line of symmetry is at x = -1.

Answer: x = -1

Step-by-step explanation:

The formula to find the axis of symmetry in a function y = ax² + bx + c is:

[tex]x=\frac{-b}{2a}[/tex]

For y = x² + 2x + 2, where:

The axis of symmetry would be:

[tex]x=\frac{-b}{2a} =\frac{-2}{2(1)} =\frac{-2}{2} =-1[/tex]

[tex]\boxed{\sf t_n=7n+4}[/tex]

[tex]\\ \sf\longmapsto t_5=7(5)+4[/tex]

[tex]\\ \sf\longmapsto t_5=35+4[/tex]

[tex]\\ \sf\longmapsto t_5=39[/tex]

Answer:

-5

Step-by-step explanation:

y = -0.5x + [?]

The equation is put in slope intercept form

slope intercept form: y = mx + b

where m = slope and b = y intercept

We want to find the y intercept.

the y intercept is the value of y when x = 0

looking at the table when x = 0, y = -5 so the y intercept is -5.

In other words -5 belongs in [?]

Answer:

sorry for doesn't know the answer

Answer:

C  -3 < x ≤ 4

Step-by-step explanation:

-9 < 4x + 3 ≤ 19.

Subtract 3 from all sides

-9-3 < 4x + 3-3 ≤ 19-3

-12 < 4x  ≤ 16

Divide by 4

-12/4 < 4x/4 ≤ 16/4

-3 < x ≤ 4

9514 1404 393

Answer:

  44.66 in

Step-by-step explanation:

The side opposite the marked angle is given, and the side adjacent to it is the one wanted. The relevant trig relation is ...

  Tan = Opposite/Adjacent

Solving for the Adjacent side, we find ...

  Adjacent = Opposite/Tan

  PQ = (29 in)/tan(33°) ≈ 44.66 in

Answer:

C. (8, 2)

Step-by-step explanation:

To find which point is not on the graph, find which set of coordinates makes the equation incorrect.

When plugged into the equation, the point (8, 2) makes it incorrect:

y = 10 + x

2 = 10 + 8

2 = 18

2 [tex]\neq[/tex] 18

The equation is incorrect because 2 is not equal to 18.

So, the point that is not on the graph is C. (8, 2)

Answer:

Hello

Step-by-step explanation:

955÷35

27.2857142857

Or

35/955

35)955(27

-945

________

10

I hope this works♥️

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Parabola: y=2x²

Let say (a,b) the focus and y=k the directrix.

[tex]formula\ to\ use:\ \boxed{y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} }\\\\\left \{\begin {array}{ccc}a&=&0\\2&=&\dfrac{1}{2(b-k)} \\\dfrac{b+k}{2} &=&0\\\end {array} \right.\\\\\\\left \{\begin {array}{ccc}a&=&0\\b-k&=&\dfrac{1}{4} \\b+k &=&0\\\end {array} \right.\\\\\\\left \{\begin {array}{ccc}a&=&0\\b&=&\dfrac{1}{8} \\k &=&\dfrac{-1}{8} \\\end {array} \right.\\\\\\focus=(0,\dfrac{1}{8} )\\\\directrix:\ y=\dfrac{-1}{8}[/tex]