If (3,b) is a point on the graph of y = 2x+9.
b =

Answer:

Step-by-step explanation:

The picture is below of how to separate this into 2 different regions, which you have to because it's not continuous over the whole function. It "breaks" at x = 2. So the way to separate this is to take the integral from x = 0 to x = 2 and then add it to the integral for x = 2 to x = 3. In order to integrate each one of those "parts" of that absolute value function we have to determine the equation for each line that makes up that part.

For the integral from [0, 2], the equation of the line is -3x + 6;

For the integral from [2, 3], the equation of the line is 3x - 6.

We integrate then:

[tex]\int\limits^2_0 {-3x+6} \, dx+\int\limits^3_2 {3x-6} \, dx[/tex]    and

[tex]-\frac{3x^2}{2}+6x\left \} {{2} \atop {0}} \right. +\frac{3x^2}{2}-6x\left \} {{3} \atop {2}} \right.[/tex]  sorry for the odd representation; that's as good as it gets here!

Using the First Fundamental Theorem of Calculus, we get:

(6 - 0) + (-4.5 - (-6)) = 6 + 1.5 = 7.5

The value of the integral   [tex]\int\limits^3_0 {|3x-6|} \, dx[/tex]  is -9/2.

The given integral is [tex]\int\limits^3_0 {|3x-6|} \, dx[/tex]

We have to find the value of this integral.

We know that ∫xⁿ dx= xⁿ⁺¹/n+1

So,  [tex]\int\limits^3_0 {|3x-6|} \, dx[/tex] = 3x²/2 -6x (from 0 to 3)

Apply the limits.

=3(3)²/2-6(3)

=27/2-18

=27-36/2

=-9/2.

Hence, the value of the integral   [tex]\int\limits^3_0 {|3x-6|} \, dx[/tex]  is -9/2.

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Answer:

(7-d)(7+d)

Step-by-step explanation:

49 - d^2

Rewriting

7^2 - d^2

We know that a^2 - b^2 = (a-b)(a+b)

(7-d)(7+d)

The answer you are looking for is -(d+7)(d-7).

Answer:

B

Step-by-step explanation:

As T is the midpoint of SU, ST=TU. 9x=5x+28, 4x=28, x=7. ST=TU=63 and SU=126

3 hours and 30 minutes as ambod will work half the time

Answer:

I don't understand the question?

Answer:

I think 60 - 1200 but i am not conform

The angle of depression from the top of the lighthouse to the ship is 0.04998 radians.

Given that, the top of a lighthouse was 60 m above sea level. A ship located 1200 m from the shore could spot the lighthouse.

We need to find the angle of depression from the top of the lighthouse to the ship.

The angle is formed by the line of sight and the horizontal plane for an object below the horizontal.

Now, sin b=60/1200

⇒sin b=1/20

⇒sin b=0.05

⇒b=0.04998 radians

Now, b=x=0.04998 radians

Therefore, the angle of depression from the top of the lighthouse to the ship is 0.04998 radians.

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Answer:

-2q+5

Step-by-step explanation:

-6q +7 -2 +4q

Combine like terms

-6q+4q+7-2

-2q+5

Answer:

= solution,

= -6q + 7 - 2 +4q

= -6q + 4q +7 -2

= - 2q + 5

✌✌✌✌

Answer:

k = 5/6

Step-by-step explanation:

First, we can make this have the form of a quadratic function, or ax²+bx+c=0. To do this, we can first subtract 10x from both sides to get

(2k+1)x²-8x=-6

Next, we can add 6 to both sides, resulting in

(2k+1)x²-8x+6 = 0

For a quadratic function of form ax²+bx+c=0, we can see that a=2k+1, b=-8, and c=6. We can then apply the quadratic equation, or

x= (-b ± √(b²-4ac))/(2a) to get our roots to be

x= (8 ± √(64-4(6)(2k+1)))/(2*(2k+1))

=  (8 ± √(64-(48k+24)))/(4k+2)

=  (8 ± √(40-48k))/(4k+2)

For the roots to be equal, we must have the two roots equal to each other. We can write this as

(8 + √(40-48k))/(4k+2) = (8 - √(40-48k))/(4k+2)

multiply both sides by (4k+2) to remove the denominator

8+√(40-48k) = 8 - √(40-48k)

subtract 8 from both sides to isolate the square roots

√(40-48k) = - √(40-48k)

The only number that is equal to its negative self (and is real) is 0. Therefore, √(40-48k) = - √(40-48k) = 0, so we have

√(40-48k) = 0

square both sides to remove the square root

40-48k = 0

add 48k to both sides to isolate the k and its coefficient

40 = 48k

divide both sides by 48 to isolate k

k = 40/48 = 5/6

Answer:

approximately 150 frogs

Step-by-step explanation:

To find your estimate, you have to add 90 + 60 because from the 70 that Elanor caught the second day, 10 of them were the ones that she had caught the day before so you have to do 70 - 10 = 60. Therefore, 90 + 60 = 150 estimated frogs.

Answer: 6 Painters

Step-by-step explanation:

Total painters needed to paint 7-room house = 3 painters

Rooms painted by each painter = 3/7

Total painters needed to paint 14-room house = 3/7×14

= 42/7

= 6 painters

Therefore it will require 6 painters to paint 14-room house

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The method is Dr. Perry most likely to use is Participatory action research.

Participatory action research is a type of research characterized by :

Additionally, in this type of research, the community involved is treated as researchers and their contributions are taken into account in the result of the same.

According to the above, the type of research suitable for Dr Perry's study is participatory action research, since it includes all the factors that Dr Perry takes into account for her research such as quantitavie/qualitative method and active participation from the community involved.

On the other hand, case study, naturalistic observation, and focus group are not the correct options because they use other methods in which the studied community does not actively participate.

Learn more in: https://brainly.com/question/15930435

Note:

This question is incomplete because the options are missing. Here are the options.

A. Case study

B. Naturalistic observation

C. Participatory action research

D. Focus group

Answer:

VOLUME OF RIGHT CIRCULAR CONE=≈74.93136cm^3

VOLUME OF SPHERE: ≈523.6cm^3

I hope you see what I did there. if you still confused, comment and I'll help

Answer:

a)7640

b)4325670

Step-by-step explanation:

when rounding off a number one of the factors to consider is the number before the number you are supposed to round off,if the number is greater than 5 or equal to then you can go ahead and add a 1 to the number you have to round off.but if the number before is less than 5 you just have to leave the number the way it is.in this case for the first question you can see that the tens number is 3 and the number before is greater than 5 so you can add a 1 to the 3 to make it 4, bringing the answer to 7640 the 9 becames a zero..for the second one you can see that the number before the tens number is less than 5 so you can't add a 1 to it leaving the answer as 4325670..

I hope this helps

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Step-by-step explanation:

The first piece wise function is from interval (-3,-1). The line during this interval isnt constant so this means that f(x) must be a linear equation along interval -3 to -1. The line has a slope of 1. And if we keep continuing, our y intercept will be 3. So we can say that

[tex]f(x) = x + 3 \ : if \: - 3 \leqslant x < - 1[/tex]

Foe the 2nd, the interval is between -1 and 1.

The line is constant so f(x) is going to be equal to one y value. The y value is passed through is 5 so we can say that

[tex]f(x) = 5 \: if \: - 1 \leqslant x \leqslant 1[/tex]

Answer:

[tex] 3\sqrt{5} [/tex]

Step-by-step explanation:

Find the largest factor of 45 that is a perfect square.

The factors of 45 are 1, 3, 5, 9, 15, 45.

The largest perfect square is 9.

Now breakup 45 into a product which has 9 as a factor.

45 = 9 * 5

[tex] \sqrt{45} = \sqrt{9 \times 5} = \sqrt{9} \times \sqrt{5} = 3\sqrt{5} [/tex]

Answer:

Step-by-step explanation

- 7(6x-1)+x=36

- 11-2(8+3p)=7²

-  1/4(5b+11)=19

- 2/7(4m-18)=12

Answer:

see explanation

Step-by-step explanation:

The volume cannot be 15 cm³ because it is not a perfect cube.

V = x³

let x = 4 then x³ = 4³ = 64 ← a perfect cube

There is not an integer when cubed gives 15

( yx + 4x - 5 )( y + 1 )

.....................................

Answer:

$2/ hat

Step-by-step explanation:

Find the unit rate:

$ to hats

8 to 4

Divide by four to get the unit rate; over 1

2 to 1

So, $2 per hat

Hope this helps!

Refer the attached image for the answer

HOPE SO IT HELPS YOU

Answer:

C

Step-by-step explanation:

As y is zero, y/x will be zero

Answer:

[tex] - \frac{23}{10} [/tex]

Step-by-step explanation:

[tex] \frac{2}{5} \div \frac{ - 1}{2} - \frac{3}{2} [/tex]

➡️ [tex] - \frac{2}{5} \times 2 - \frac{3}{2} [/tex]

➡️ [tex] - \frac{4}{5} - \frac{3}{2} [/tex]

➡️ [tex] - \frac{23}{10} [/tex]

Answer:

Step-by-step explanation:

Bonsoir,

63°

The value of external angle x intercepted by two tangents is 63°

We have,

From the given figure,

External  angle = x

From the definition of external angle intercepted by two tangents.

External angle = 1/2 x difference of the intercepted arc length

Now,

Difference of the arc length.

= 243 - (360 - 243)

= 243 - 117

= 126

Now,

Substituting the values.

External angle = 1/2 x difference of the intercepted arc length

= 1/2 x 126

= 63

Thus,

The value of external angle x is 63°

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Answer:

The answer above is completely correct, but it may help the student to see how to reach it:

We seek a square root of

3

−

2

√

2

. This must have the form

a

+

b

√

2

.

(

a

+

b

√

2

)

2

=

a

2

+

2

a

b

√

2

+

2

b

2

So

a

2

+

2

b

2

=

3

and

2

a

b

=

−

2

⇒

a

b

=

−

1

These are two simultaneous equations for

a

and

b

.

Rearrange the second:

b

=

−

1

a

Substitute into the first:

a

2

+

2

a

2

=

3

a

4

+

2

=

3

a

2

a

4

−

3

a

2

+

2

=

0

Note that this is a quadratic in

a

2

:

(

a

2

)

2

−

3

(

a

2

)

+

2

=

0

Factorise:

(

a

2

−

2

)

(

a

2

−

1

)

=

0

This gives us two possible solutions for

a

2

:

2

and

1

, and so the four solutions for

a

:

±

√

2

and

±

1

.

We are looking for integer solutions for

a

, and so

±

1

are possible solutions. But the other two are possible too - they can simply be folded in to the

√

2

term. This wouldn't have been possible if we'd had the root of some other number in the solution for

a

, but this solution is a special case.

Now use the second equation to deduce the four equivalent solutions for

b

:

b

=

−

1

a

b

=

¯¯¯¯¯

+

1

√

2

=

¯¯¯¯¯

+

1

2

√

2

and

¯¯¯¯

+

1

.

So we have the four solution pairs

(

a

,

b

)

:

(

√

2

,

−

1

2

√

2

)

(

−

√

2

,

1

2

√

2

)

(

1

,

−

1

)

(

−

1

,

1

)

This is a bit suspicious - we expect only two solutions, positive and negative square roots, so we wonder if some of these are identical to each other: When we substitute them in to our desired expression

a

+

b

√

2

, we get:

√

2

−

1

2

√

2

√

2

=

−

1

+

√

2

−

√

2

+

1

2

√

2

√

2

=

1

−

√

2

1

−

√

2

−

1

+

√

2

So the two solutions with

√

2

are identical to the two simpler solutions, so we can get rid of them. We now have two solutions, positive and negative square roots:

1

−

√

2

−

1

+

√

2

When we take the written square root of a quantity, it is implied that the desired root is the positive root, the "principal value" of the square root function. So we take the single solution that comes from

a

=

+

1

:

1

−

√

2

Double check: Make sure that this produces the desired answer:

(

1

−

√

2

)

2

=

1

−

2

√

2

+

2

=

3

−

2

√

2

I think this will help you

After finding the equation of the line, it is found that:

Since replacing x by 4 and y by 8 in the equation of the line does not result in an identity, (4,8) is not a solution of the same linear  equation.

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

Equation of a line:

The equation of a line is given by:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

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

Finding the slope:

Given two points (x,y), the slope is given by change in y divided by change in x.

Thus:

[tex]y = 3x + b[/tex]

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

To find the y-intercept, we replace one of the points into the equation. I will replace (3,6). Thus:

[tex]6 = 3(3) + b[/tex]

[tex]b = 6 - 9 = -3[/tex]

Thus, the equation of the line is:

[tex]y = 3x - 3[/tex]

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

Is (4,8) a solution of the same linear  equation?

We have to replace x by 4 and y by 8, and see if it results in an identity. So

[tex]8 = 3(4) - 3[/tex]

[tex]8 = 12 - 3[/tex]

[tex]8 \neq 9[/tex]

Since replacing x by 4 and y by 8 in the equation of the line does not result in an identity, (4,8) is not a solution of the same linear  equation.

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