If f(x) = -x2 + 6x- 1 and g(x) = 3x2- 4x-1, find (f - g)(x).

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Explanation:

Use the pythagorean theorem

a^2+b^2 = c^2

to find that c = 13 when a = 12 and b = 5.

So that makes the hypotenuse MO = 13 units long.

The opposite side is MN = 12 units long as this side is furthest we can get from angle O.

The sine ratio involves opposite over hypotenuse

sin(angle) = opposite/hypotenuse

sin(O) = MN/MO

sin(O) = 12/13

Answer:

C.    12/13

Step-by-step explanation:

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 =  c²

c = 13

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

sin = opp/hyp

sinO = 12/13

Answer:

971 m to nearest metre

Step-by-step explanation:

training distance = 5*2*(260 + 480) m  

Diagonal distance = √(2602 + 4802) m

Heavy rain training distance = 5*(260 + 480 + √(2602 + 4802)) m

Difference between these:

5 × 2  × ( 260 + 480 ) - 5 ×( 260 + 480  + √ 260 ^ 2 + 480 ^ 2 )

   = 970 . 5311872087638744

difference = 971 m to nearest metre

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Step-by-step explanation:

Tangent from the point outside the circle are equal

WX  = XY

7x - 29 = 2x + 16 {Add 29 to both sides}

7x  = 2x + 16 +29

7x = 2x + 45 {Subtract 2x from both sides}

7x - 2x = 45

5x = 45     {Divide both sides by 5}

x = 45/5

x = 9

WX = 7x - 29

       = 7*9 - 29

        = 63 - 29

WX = 34

Answer:

B)  1/5

Step-by-step explanation:

P(R then Y) = 3/6 · 2/5 = 6/30 or 1/5 simplified

Answer:

I'm sorry but this is very wordy and hard for people to understand.

please reconsider fixing it and submitting it again for assistance.

Answer: [tex]1.663\times 10^{30}\ gm[/tex]

Step-by-step explanation:

Given

Population of dust particle doubles every 30 minutes

If the initial sample is 21 grams

The model to predict the population will be

[tex]\Rightarrow P=21\cdot 2^{2t}[/tex]

Where t=time in hours

A day has 24 hours . So, for 2 days time is 48 hours

Population is given by

[tex]\Rightarrow P=21\cdot 2^{2\times 48}\\\\\Rightarrow P=21\times 2^{96}\\\\\Rightarrow P=1.663\times 10^{30}\ gm[/tex]

Answer:

4.5yards and 6 yards is your rectangle measurement

Given ,

5<x<10 and 8<y<19

For y-x,

8-5<y-x<19-10

3<y-x<9

Answer:

17.

[tex] 7 \times {10}^{ - 6} [/tex]

18. 8 sides (and 8 corners)

19. the chance is 50% or 0.5, and yes, both colors have the same chance.

20. on a coordinate grid make a point at x=1 and y=5. and then simply draw a line through that point.

Step-by-step explanation:

17. the defining digit is 7. and it is at the the 6th position after the decimal point. that is how you write this.

18. the more corners or sides a polygon has, the closer it gets to a circle. that means that the outside angles always add up to 360 degrees.

so, with the inside angles being 135 degrees, the outside angles are 180-135 = 45 degrees.

his many such outside angles can we add together until we reach 360 degrees ?

360/45 = 8 (just imagine : 2×45 = 90, and 90×4 = 360)

so, this polygon has 8 corners and therefore 8 sides.

19. 12 balls are in the bag. the chance for a single ball to be pulled is therefore 1/12.

but there are 6 red balls. we don't care which specific ball we pull, as long as it's red. so, we have 6/12 chances to achieve that.

and yes, for exactly the same reason, black balls have the same chance.

Answer:

x = 51

Step-by-step explanation:

The two angles form a straight line

Angles that form a straight line add up to equal 180

Hence, 2x + 4 + x + 23 = 180

( note that we just created an equation that we can use to solve for x )

we now solve for x using the equation we created

2x + 4 + x + 23 = 180

step 1 combine like terms

2x + x = 3x

4 + 23 = 27

we now have 180 = 27 + 3x

step 2 subtract 27 from each side

180 - 27 = 153

27 - 27 cancels out

we now have 153 = 3x

step 3 divide each side by 3

153 / 3 = 51

3x / 3 = x

we're left with x = 51

Answer:

Mass of piece of marble  = 0.27 kilogram

Step-by-step explanation:

Given:

Dimensions of cuboid = 1 x 0.2 x 0.5

Density of marble = 2.7

Find:

Mass of piece of marble

Computation:

Volume of cuboid = (l)(b)(h)

Volume of marble = 1 x 0.2 x 0.5

Volume of marble = 0.1

Mass = Density x Volume

Mass of piece of marble  = Density of marble x Volume of marble

Mass of piece of marble  = 2.7 x 0.1

Mass of piece of marble  = 0.27 kilogram

Answer:

try 144

Step-by-step explanation:

m<E is basically just ot asking you to find the angle of E, i think :').

And since all angles equal to 180, 180-36=144

(hope ots right)

Answer:

Take an even number of random samples from the 10000 spinach plants

lets assume you take ; 100 random samples  each sample will contain = 10,000 / 100 = 100 spinach plants

Step-by-step explanation:

Given that the total number of spinach plants in the farm = 10,000

To obtain a random sample, take a census of the number of farms wherein the spinach plants are planted, determine the mean size and standard deviation of the farm that way you can apply the central limit theorem.

After determining these Take an even number of random sample from the 10000 spinach plants

lets assume you take ; 100 random samples  each sample will contain = 10,000 / 100 = 100

Answer:

2.0

Step-by-step explanation:

Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die

The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)

The first moment (AKA the average is..)

[tex]\frac{1+2+3+4+5+6+7}{7}=4[/tex]

The second moment is..

[tex]\frac{1^2+2^2+3^2+4^2+5^2+6^2+7^2}{7}=20[/tex]

[tex]\sqrt{20-4^2}=2[/tex]

the answer is d hopes this helps you

Answer:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex] is the slope intercept

[tex]m[/tex] is the slope

[tex]b[/tex] is the y-intercept

The slope in the graph is 4/2 or 2 simplified. From point (-2,6), you have to go down 4 and right 2 to get to the point (0,2)

The y-intercept is 2 because the line crosses the y axis at exactly 2.

Hope this helps

Answer:

12

Step-by-step explanation:

3x+7 = 12

Answer:

Step-by-step explanation:

First, put them in order.

5.3x+3.6x+9.8-8.14

Add 5.3x and 3.6x

8.9x

Subtract 8.14 from 9.8

1.66

Answer:

180

Step-by-step explanation:

hope this answer be right :)

Answer:

So , 41 years ago, Mothers age is 3 times of Sally's age. When Sally's age was 13 , and her mom age was 39 (

Answer:

The amplitude is 5

Step-by-step explanation:

The function [tex]y=asin(bx-c)+d[/tex] has an amplitude of [tex]|a|[/tex]. Therefore the amplitude of the function [tex]y=5sin(2x-1)+3[/tex] is [tex]|a|=|5|=5[/tex].

Answer:

[tex]\theta_1 \ n\ \theta_2 = 120, 240[/tex]

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

[tex]Nonagon = 9\ sides[/tex]

[tex]Hexagon = 6\ sides[/tex]

Divide 360 degrees by the number of sides in each angle, then find the multiples.

Nonagon

[tex]\theta = \frac{360}{9} =40[/tex]

List the multiples of 40

[tex]\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320[/tex]

Hexagon

[tex]\theta = \frac{360}{6} =60[/tex]

List the multiples of 60

[tex]\theta_2 = 60, 120, 180, 240, 300[/tex]

List out the common angles

[tex]\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320[/tex]

[tex]\theta_2 = 60, 120, 180, 240, 300[/tex]

[tex]\theta_1 \ n\ \theta_2 = 120, 240[/tex]

This means that, only a rotation of [tex]120, 240[/tex] will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

Answer:

commutative property

Step-by-step explanation:

It's basically just changing the order of the equation.

Answer:

x=50

Step-by-step explanation:

corresponding angles

Answer:

Least:0.078

In between: 0.78

Greatest: 8.7

Step-by-step explanation: