determine the prime factors of 84 in tree map​

Answer:

2([tex]x^{2}[/tex]+8x+17)

Step-by-step explanation:

Factor out 2 of the equation.

Answer:

For real numbers: no solution

For complex numbers: [tex] x = -4 \pm 4i [/tex]

Step-by-step explanation:

2x^2 + 16x + 34 = 0

Divide both sides by 2.

x^2 + 8x + 17 = 0

There are no two numbers whose product is 17 and whose sum is 8, so this polynomial is not factorable.

We can use the quadratic formula.

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

We have a = 1; b = 8; c = 17

[tex] x = \dfrac{-8 \pm \sqrt{8^2 - 4(1)(17)}}{2(1)} [/tex]

[tex] x = \dfrac{-8 \pm \sqrt{64 - 68}}{2} [/tex]

[tex] x = \dfrac{-8 \pm \sqrt{-64}}{2} [/tex]

If you have not learned imaginary or complex numbers, stop here. Since the discriminant is negative, there is no real solution.

If you have learned complex numbers, then we continue.

[tex] x = \dfrac{-8 \pm 8i}{2} [/tex]

[tex] x = -4 \pm 4i [/tex]

Answer:

33.2

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

They are equal

83 tenths divided by 10 is 8.3

Hope this helps :-)

Answer: 15

Step-by-step explanation: Easy way to do it is of you just list all the factors and find the highest common factor, 15= 1,3,5,15. 60= 1,2,3,4,5,6,10,12,15,30,60.

The common factors here are 3 and 15 the highest common factor is 15.

Now another method is to draw the division diagrams which are shown in the image below...

Answer:

Step-by-step explanation:

HCF of two or more numbers is the largest number that divides the number without leaving remainder.

Prime factorize 15 and 60

15 = 3 * 5

60 = 2 * 2 * 3 * 5

HCF = 3 * 5 = 15

Answer:

[tex]\displaystyle -\frac{1}{3} < x < 2[/tex]

Step-by-step explanation:

We want to solve the quadratic inequality:

[tex]9x^2-15x<6[/tex]

In order to solve a quadratic inequality, find its zeros. That is, let the inequality sign be an equal sign and solve for x. We do this because it denotes when the graph crosses the x-axis: that is, when it is positive and/or negative. This yields:

[tex]9x^2-15x=6[/tex]

Solve for x:

[tex]\displaystyle \begin{aligned} 9x^2-15x-6 &= 0\\ 3x^2 - 15 -6 &= 0 \\ (3x+1)(x-2) &= 0\end{aligned}[/tex]

By the Zero Product Property:

[tex]\displaystyle 3x + 1 = 0 \text{ or } x - 2 = 0[/tex]

Hence:

[tex]\displaystyle x = -\frac{1}{3}\text{ or } x = 2[/tex]

Now, we can test intervals. The three intervals are: all values less than -1/3, values between -1/3 and 2, and all values greater than 2.

To test the first interval, let x = -1. Substitute this into our original inequality:

[tex]\displaystyle \begin{aligned}9(-1)^2 -15(-1) \, &?\, 6 \\ 9+15 \, &? \, 6 \\ 24&> 6 \xmark \end{aligned}[/tex]

The resulting symbol is "greater than," which is not our desired symbol.

To test the interval between -1/3 and 2, we can let x = 0:

[tex]\displaystyle \begin{aligned} 9(0)^2 - 15(0) \, &? \, 6 \\ (0) - (0) \, &? \, 6 \\ 0 &< 6\, \checkmark\end{aligned}[/tex]

The resulting symbol is indeed less than. So, the interval (-1/3, 2) is a part of our solution.

Finally, to test the third interval, let x = 3. Then:

[tex]\displaystyle \begin{aligned} 9(3)^2 - 15(3) \, &? \, 6 \\ (81) - (45) \, &? \, 6 \\ 36 &> 6\end{aligned}[/tex]

Again, this is not our desired symbol.

In conclusion, our only solution is the interval:

[tex]\displaystyle \left(-\frac{1}{3}, 2\right)[/tex]

Or as an inequality:

[tex]\displaystyle -\frac{1}{3} < x < 2[/tex]

Answer:

0.1 atoms

Step-by-step explanation:

Typically, there is 0.1 atoms in each cubic centimeter of interstellar wind, and 10 ions in each cubic centimeter of solar wind (versus surface air which contains 3 x 10^19 molecules per cc). This means there is a great deal of dead space between the very tiny particles and collisions are rare.

Answer-1 billion

Step-by-step explanation:

Answer:

1 1/8

Step-by-step explanation:

So the first step is to convert all of them to fractions, so 3.25 become 3 1/4

Next, we do 4 3/8- 3 1/4

We convert 1/4 to 2/8

So, it's now 4 3/8- 3 2/8

The answer is 1 1/8

Answer:

10 + 2c (i think)

Step-by-step explanation:

You do the $10 for his cores plus $2x The Amount of extra chores he did

Answer:

answer is c.

I got it right on edge

Function  S(x) = 12(3,000) + 0.025x (x ≥ 250,000) represents the annual salary for total sales of x dollars, where x is greater than $250,000. Option C is correct.

Given that,
A telemarketer earns a base salary of $3,000 per month, plus an annual bonus of 2.5% of total sales above $250,000.
To determine which function represents the annual salary for total sales of x dollars, where x is greater than $250,000.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
According to the question,
annual salary be S
S(x) = annual base salary + annual bonus earned
S(x) = 12 * 3000 + 0.025x (where x is > $250,000)

Thus, function  S(x) = 12(3,000) + 0.025x (x ≥ 250,000) represents the annual salary for total sales of x dollars, where x is greater than $250,000. Option C is correct.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Answer:

Step-by-step explanation:

The cabinet is rectangular shaped. Using the formula for calculating the surface area of a reactangular bos to solve the problem.

Surface area = 2(LW+WH+LH) where;

L is the length of the cabinet

W is the width of the cabinet

H is the height of the cabinet.

If the entire outside of the cabinet is being painted, except for the bottom, then the surface area of the painted area will be expressed as;

S = LW+2WH+2LH

Given L = 2 feet, W = 3 feet and H = 6 feet

S = 2(3)+2(3*6)+2(2*6)

S = 6+2(18)+2(12)

S = 6+36+24

S = 66 feet²

Hence the surface area of the painted part is 66ft²

Answer:

Each magazine costs 3.90

Step-by-step explanation:

Take the total cost and divide by the number of magazines

46.80/12

3.90

Answer:

3.90$ per magazine is paid

Answer:

(1,-1)

Step-by-step explanation:

(1,-1) because if you subtract 5-6 you get -1 and 2-1 you get 1.

Answer:

if F where to move down 6 points then it would be 2, -1.

then if it where to move left 1 unit the coordinants for F prime would be

(1, -1)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{13}}}}}[/tex]

Step-by-step explanation:

Given, f = 3 and g = 5

[tex] \sf{f + {g}^{2} - 3g}[/tex]

Plug the values

⇒[tex] \sf{3 + {5}^{2} - 3 \times 5}[/tex]

Evaluate the power

⇒[tex] \sf{3 + 25 - 3 \times 5}[/tex]

Multiply the numbers : 3 and 5

⇒[tex] \sf{3 + 25 - 15}[/tex]

Add the numbers : 3 and 25

⇒[tex] \sf{28 - 15}[/tex]

Subtract 15 from 28

⇒[tex] \sf{13}[/tex]

Hope I helped!

Best regards! :D

Answer:

k^2-13+36

38n-378

Step-by-step explanation:

k^2-13k+36

k^2-13+36

The above expression can't be simplified further because they are not like terms.

18n+20n-378

38n-378

Hope this helped ;) ❤❤❤

Answer: 1/3

Step-by-step explanation:

Answer:

37:39

Step-by-step explanation:

You write the amount of circles then add 37 to 2 and make a ratio table.

Answer: 37:39

Step-by-step explanation: there are 37 circles and there are 39 shapes in all (37 circles plus the two hearts)

Answer:

x = 31 °

Step-by-step explanation:

90 = 58 + x

x = 90 - 58

x = 31 °

Answer:

x° = 32°

Step-by-step explanation:

∠BAC = ∠IAK = 58° (Vertically opposite angles)

∠GCJ = ∠ACB = x° (Vertically opposite angles)

Angles of a Δ ABC = 180°

Δ ABC = 90° + 58° + x° = 180°

⇒x° = 180° - 90° - 58 °

⇒x° = 32°

Answer:

y = -5.5

Step-by-step explanation:

The only lines that have a slope of 0 are horizontal lines. Horizontal lines are always in the form y = c where c is a constant. Basically, on a horizontal line, no matter what x is, y will always be the constant c. Therefore, the x coordinate of our given point does not matter and we only have to look a the y-coordinate, which is -5.5. Therefore, the equation is y = -5.5.

Answer:

A, B and D

Step-by-step explanation:

There are two inverse linear functions graphed. One of the is decreasing up to x = 3 excluded, the other one is increasing from the point x = 3 included.

Domain range of the decreasing one is:

Domain range of the increasing one is:

Correct choices are: A, B and D

Note: A and B are same

Answer: A'(3,2),  B'(0,1)  and C'(-4, -5).

Step-by-step explanation:

When we rotate (a,b) 90 degrees clockwise, the new point will be (b,-a).

i.e. rotation rule for 90 degrees clockwise : (x,y) → (y,-x)

Given: Triangle ABC with coordinate points A(-2,3); B(-1,0); C(5,-4) is rotated 90 degrees clockwise.

Then, the new image points for triangle A'B'C' will be :

A(-2,3) → A'(3,-(-2)) =A'(3,2)

B(-1,0)→ B'(0,-(-1)) = B'(0,1)

C(5,-4) → C'(-4, -5)

Hence, the new image points for triangle A'B'C' are A'(3,2),  B'(0,1)  and C'(-4, -5).

Answer:

x = 13.28

Step-by-step explanation:

basic trig ratios: using tanФ = opp/adj.

tan(38) = x / 17

x = tan(38) * 17

x = 13.28

to get more idea of the subject, read below:

The cotangent (cot)

The cotangent is the reciprocal of the tangent. It is the ratio of the adjacent side to the opposite side in a right triangle.

tan(A) = opp/adj = a/b

cot(A) =adj/opp = b/c

Answer:

[tex]\Huge \boxed{x \approx 13.28}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trig functions to solve for the problem.

[tex]\sf \displaystyle tan (\theta)=\frac{opposite}{adjacent}[/tex]

[tex]\sf \displaystyle tan (38)=\frac{x}{17}[/tex]

Multiplying both sides by 17.

[tex]\sf \displaystyle 17 \cdot tan (38)=\frac{x}{17} \cdot 17[/tex]

[tex]\sf x= 13.28185565...[/tex]

The measure of x is approximately 13.28.

[tex]\rule[225]{225}{2}[/tex]

Answer:

  (1, 5)

Step-by-step explanation:

The desired point is the weighted average of the end point coordinates. The weights are the reverse of the relative line segment lengths.

  P = (3A +1B)(3+1) = (3(-1, 2) +(7, 14))/4 = (-3+7, 6+14)/4 = (1, 5)

The point of interest is (1, 5).

Answer:

48 people.

Step-by-step explanation:

The sequence is  3 5 7 ...

The common difference is 2 so by the 7th stop 6 lots of people have boarded and the total is:

3 + 5 + 7 + 9 + 11 + 13 = 48 people.

=

Answer:

so x=3

Step-by-step explanation:

f(x) = 2

We want to find the x value when y =2

Going across where y = 2

Then go down to find the x value x=3 when y = 2

f(3) =2

so x=3

Step-by-step explanation:

[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]

[tex]\huge\underline\bold\green{Gïvëñ}[/tex]

[tex]\small\underline\bold\red{ v=0}[/tex]

[tex]\small\underline\bold\blue{ v = u+gt}[/tex]

[tex]\small\underline\bold\blue{0=20-10t}[/tex]

[tex]\small\underline\bold\blue{t = 2 sec}[/tex]

[tex]\huge\underline\bold\yellow{distance in first 2 second }[/tex]

s = s(t=0 to 2 second) + s(2second to 3 second)

s = (ut+1\2(at)^2+ (ut+1\2at^2)

s = 20×2-1\2×10×4+1\2×10×1

s = 25

[tex]\huge\underline\bold\blue{Displacement}[/tex]

s = 20 - 5 = 15

Hope it helps

Answer:

15

Step-by-step explanation:

1.5*10 =15

Answer:

15.

Step-by-step explanation:

1.5 x 10 is expanded notation, so you just solve it (by multiplying) to convert it into standard notation.

Answer:

A or C

Step-by-step explanation: