Expand And Simplify
2(3a - 2b) + b​

Answer:

Option B

Step-by-step explanation:

Hope it is right

The value of equation describes the line graphed is,

⇒ y = -1/5x - 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, -4) and (5, -5).

Now,

Since, The equation of line passes through the points (0, -4) and (5, -5).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 5 - (-4)) / (5 - 0)

m = - 1 / 5

Thus, The equation of line with slope - 1/5 is,

⇒ y - (-4) = -1/5 (x - 0)

⇒ y + 4 = -1/5x

⇒ y = -1/5x - 4

Therefore, The equation of line passes through the points (0, -4) and

(5, -5). will be;

⇒ y = -1/5x - 4

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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Answer:

28.26 yd^2

Step-by-step explanation:

A = 3.14 • r^2

Radius is half of the diameter, so 3.

A = 3.14 • 3^2

A = 3.15 • 9

A = 28.26 yd^2

Answer:  The area of the garden is 28.26

Step-by-step explanation:

1. Divide the diameter in half, that gives you the radius, in this case: 3

2. Use the formula for finding the area with the radius: A= π r², and use 3.14 instead of pi. Multiply 3.14 by 3²

3. You should get 28.26 as your answer.

Answer:

Hey there!

Circumference: [tex]2\pi r+95+95[/tex]

Area: [tex]\pi r^2+70(95)[/tex]

r=35

Circumference: 410

Area: 10498.

Hope this helps :)

Answer:

Area=  10498.5 cm²

Step-by-step explanation:

Area of rectangle= l x w

= 95 x 70 = 6650

Area of circle = πr²

= π x 35²

= 1225π

=3838.5 cm²

Area of shape: 6650 + 3848.5 = 10498.5 cm²

Answer:

Step-by-step explanation:

You can make a table of values by plugging in values to x^2+4.

If x=1 the answer is 5

If x=2 the answer is 8

If x=3 the answer is 13

If x=4 the answer is 20

If x=5 the answer is 25.

And we have a table of values!

Answer:

13,600 [tex]in^{2}[/tex]

Step-by-step explanation:

(h = 7, l = 6, w = 2) 10

70, 60, 20

2(h × w) + 2(h × l) + 2(w × l)

= 2(70 × 20) + 2(70 × 60) + 2(20 × 60)

= 2(1400) + 2(4200) + 2(1200)

= 2800 + 8400 + 2400

= 13,600

Answer:

1.25

Step-by-step explanation:

8x² -38x + 35 = 0

8x² - 10x - 28x + 35 = 0

2x(4x - 5)-7(4x - 5) = 0

(4x−5)(2x−7) = 0

4x - 5 = 0 or 2x - 7 = 0

x = 5/4 or x = 7/2

x = 1.25 or 3.5

Smallest value being = 1.25

Answer:

  [tex]\textbf{A. }F(x)=\dfrac{1}{(x-3)^2}[/tex]

Step-by-step explanation:

The parent function 1/x² is shifted 3 units to the right. That means x has been replaced by x-3:

  F(x) = 1/(x -3)²

Answer:

Time taken = 23.10 sec (Approx)

Step-by-step explanation:

Given:

Distance of lighting = 5 mi = 26,400 ft

Air temperature =83.6°F  = 28.67°FC

Computation:

Speed of the sound

V = 331 + 0.61 × T

V = 331 + 0.6 × 28.67

V = 348.202 m/s

Distance = 5 mi = 8,046.72 m

Time taken =  Distance / Speed

Time taken =  8,046.72 / 348.202

Time taken = 23.10 sec (Approx)

Answer:

41, 43, and 47

Step-by-step explanation:

The numbers between 40 and 50 are:

41, 42, 43, 44, 45, 46, 47, 48, and 49

Prime numbers are numbers that have only 2 factors, 1 and themselves.

So from the numbers above we are now able to find the prime numbers.

1 * 41 = 41

1 * 43 = 43

1* 47 = 47

41, 43, and 47 have only 2 factors, 1 and themselves.

Hope this helps!!

Answer:

  6748'

Step-by-step explanation:

The long diagonal is the third leg of a triangle with the given side lengths and an angle between them that is the supplement of the given angle. Its length can be found from the Law of Cosines.

  a^2 = b^2 +c^2 -2bc·cos(A)

  a^2 = 3473^2 +4822^2 -2·3473·4822·cos(180° -72.23°)

  a^2 = 45,535,553.83

  a ≈ 6748.004

The longer diagonal is about 6758 feet long.

Answer:

2x - 3x -6y - 5y +35x

Step-by-step explanation:

-3 multiplied by x is -3x

-3 multiplied by +2y is -6y

-5 multiplied by y is -5y

-5 multiplied by -7x is +35x

2x remains the same.

Answer:

c. 2x – 3x – 6y – 5y + 35x

Step-by-step explanation:

edge 2021

(:

Answer: False for sure

Answer:

[tex]\boxed{\mathrm{False}}[/tex]

Step-by-step explanation:

[tex]-2<6[/tex]

-2 is less than 6.

6 is a greater value than -2.

Answer:

[tex]\boxed{Domain = \{3,6,9\}}[/tex]

[tex]\boxed{Range = \{9,18\}}[/tex]

Step-by-step explanation:

The relation is:

=> {(3,9)(3,18)(6,18)(9,18)}

Domain => x inputs of the ordered pair

Domain = {3,6,9}

Range => y inputs of the ordered pair

Range = {9,18}

Answer:

20

Step-by-step explanation:

30(0)

= 0

50 + 0 - 30

= 50 - 30

= 20

Answer:

20

Step-by-step explanation:

We know that 30 × 0 = 0. Next, we can take 50 and add 0 which is still 50. Now, we take 50 - 30 which equals to 20.

Answer:

It will be compressed vertically

Step-by-step explanation:

y = Cf(x) 0 < C < 1 compresses it in the y-direction

Since we are multiplying by 1/4 it will compress it by 1/4 in the y direction

Answer:

When you multiply the whole function by a constant, which can be identified as "C", you can have the following situations:

- If  the function is stretched.

- - If  the function is compressed.

You have that 0<1/4<1

Therefore, you can conclude that be compressed vertically.

Step-by-step explanation:

The given function is f (x) = x²

The new function is f 1 (x) = 1/4 x².

The general function of the form is f(x) = a · x²

i) If |a| < 1   the graph is compressed vertically by a factor of a.

ii)  If |a| > 1  the graph is stretched vertically by a factor of a.

Here:  a = 1/4 < 1

Answer:

A)  False

B)  True

Step-by-step explanation:

For A) First let's do x/11 = 15. If you solved it by now, you will know that the answer is 0.7333333. So now you just do 11x15. Because the answer is different then the answer we got when doing the division, the answer for A is false

For B) B is definitely true because equation are any mathematical sentences that have an equation symbol. So it's like saying 8x3=24 and 6x4=24. These two equations end up with the same answer so B is true.

I hope this helped you find out the rest :)

Answer:

[tex]71.63 \: \: \mathrm{cm^2 }[/tex]

Step-by-step explanation:

Once we know the diameter of the circle, we can figure out the problem.

The diameter of the circle = The diagonal of the rectangle inscribed in the circle

To find the diagonal of the rectangle, we can use a formula.

[tex]d=\sqrt{w^2 + l^2}[/tex]

The width is 10 cm and the length is 12 cm.

[tex]d=\sqrt{10^2 + 12^2}[/tex]

[tex]d \approx 15.62[/tex]

The diagonal of the rectangle inscribed in the circle is 15.62 cm.

The diameter of the circle is 15.62 cm.

Find the area of the whole circle.

[tex]A=\pi r^2[/tex]

The [tex]r[/tex] is the radius of the circle, to find radius from diameter we can divide the value by 2.

[tex]r = \frac{d}{2}[/tex]

[tex]r=\frac{15.62}{2}[/tex]

[tex]r=7.81[/tex]

Let’s find the area now.

[tex]A=\pi (7.81)^2[/tex]

[tex]A \approx 191.625[/tex]

Find the area of rectangle.

[tex]A=lw[/tex]

Length × Width.

[tex]A = 12 \times 10[/tex]

[tex]A=120[/tex]

Subtract the area of the whole circle with the area of rectangle to find area of shaded part.

[tex]191.625-120[/tex]

[tex]71.625 \approx 71.63[/tex]

Answer:

The first 3x^2 + 2x is a second degree polynomial, so it's a quadratic binomial (2 terms).  The second 2x^2 - 5x + 3 is a second degree trinomial (3 terms), and the third is a monomial (1 term).  Not sure if that's what you were looking for.

Step-by-step explantion:

Answer:

see explanation

Step-by-step explanation:

1) 6c + 15(1) = 75

6c = 60

c = 10 packs of cupcakes

2) 6c + 15(7) = 75

6c + 105 = 75

6c = -30

c = -5, since he bought more brownies than needed, he does not need to buy any cupcakes.

Answer:

6c+15b=75

1)If the treasurer buys 1 package of brownie bites

6(1)+15b=75

15b=75-6

b=69/15=4.6 ( means the treasure needs to buy 5 packages).

2): If the treasurer buys 7 packages of brownie bites,

6c+15(7)=75

6c+105=75

c=-30/6=-5( you can not buy negative amount)

the treasure does not need to buy, because brownies are enough and more.

Answer:

if he bought 6 bonds at $1,000 each, then 6*1000

Step-by-step explanation:

if the interest is 6.5%, then the annual interst is also 6.5%

Answer:

6.5% should be the answer of annual

Hi there! Hopefully this helps!

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

1 / 2 / 3 = 0.16666666666.  

0.16666666666 in fraction form:  1/6.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Firstly we need to divide 1 into halves (halves is "2", 1 / 2 = 0.5.)

Now that we have 0.5, we need to divide 0.5 by 3.

0.5 / 3 = 0.16666666666

Answer:

1/6

Step-by-step explanation:

Hey there!

Well let's start with,

1 ÷ 2 = .5

.5 ÷ 3 = .1666666 repeating

As a fraction it would be 1/6

Hope this helps :)

Answer:

Step-by-step explanation:

($26.5 - $3 - $5.50) : $0.6/m =

= $18 : 0.6$/m

= 30 miles

Answer:

d

Step-by-step explanation:

Answer: E definition of midpoint

Step-by-step explanation:

Correct on Plato

Answer:

 x +   y = 29

5x + 2y = 100

Step-by-step explanation:

Has 29 problems

then

x + y = 29

x be the number of worth 5 points questions:

5x

y be the number of worth 2 points questions

2y

the total both worth is 100 points

then:

5x + 2y = 100

Answer:

x + y = 29          5x + 2y = 100

Answer:

answer in picture

Step-by-step explanation:

Answer:

a) The function has a maximum at  x = 29,59

b) 99,32 %

Step-by-step explanation:

f(x) = -0,11*x² + 6,51*x + 3

Then:

f´(x) = -0,22*x + 6,51

If   f´(x) = 0   then    - 0,22*x + 6,51 = 0

0,22*x = 6,51

x = 6,51/0,22    ⇒     x = 29,59

if we get the second derivative

f´´(x) = - 0,22       f´´(x) < 0   then we have a maximun at x = 29,59

a) the function has a maximum

b) 29,59 years after 2000   ( in 2030 )

c) f(x) = - 0,11*x² + 6,51*x + 3

f(29,59) = - (0,11)* (29,59)² + 6,51*29,59 + 3

f(29,59) = 99,32 %

Answer:

100

Step-by-step explanation:

Hello,

We are looking for the surrounding perfect squares.

[tex]\sqrt{8000}=89.44272...[/tex]

so

[tex]7921=89^2< 8000<90^2=8100[/tex]

So we need 100 more soldiers to form a perfect square.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

[tex]\approx[/tex] 11 litres of water will fit inside the container.

Step-by-step explanation:

As per the given figure, we have a container formed with combination of a right angled cone placed at the top of a right cylinder.

Given:

Height of cylinder, [tex]h_1[/tex] = 15 cm

Diameter of cylinder/ cone, D = 26 cm

Slant height of cone, l = 20 cm

Here, we need to find the volume of container.[tex]\\Volume_{Container} = Volume_{Cylinder}+Volume_{Cone}\\\Rightarrow Volume_{Container} = \pi r_1^2 h_1+\dfrac{1}{3}\pi r_2^2 h_2[/tex]

Here,

[tex]r_1=r_2 = \dfrac{Diameter}{2} = \dfrac{26}{2} =13\ cm[/tex]

To find the Height of Cylinder, we can use the following formula:

[tex]l^2 = r_2^2+h_2^2\\\Rightarrow h_2^2 = 20^2-13^2\\\Rightarrow h_2^2 = 400-169\\\Rightarrow h_2^2 = 231\\\Rightarrow h_2=15.2\ cm \approx 15\ cm[/tex]

Now, putting the values to find the volume of container:

[tex]Volume_{Container} = \pi \times 13^2 \times 15+\dfrac{1}{3}\pi \times 13^2 \times 15\\\Rightarrow Volume_{Container} = \pi \times 13^2 \times 15+\pi \times 13^2 \times 5\\\Rightarrow Volume_{Container} = \pi \times 13^2 \times 20\\\Rightarrow Volume_{Container} = 10613.2 \approx 10613\ cm^3[/tex]

Converting [tex]cm^{3 }[/tex] to litres:

[tex]10613 cm^3 = 10.613\ litres \approx 11\ litres[/tex]

[tex]\approx[/tex] 11 litres of water will fit inside the container.

Answer:

1,3,5,15,37,111,185,555

Step-by-step explanation:

8 total

Answer:Answer: Did you get helped on this one?

Step-by-step explanation:okay yup yup have a good ONE

Answer: A

Step-by-step explanation:

The slope which is also known as gradient can be Mathematically defined as change in dependent variable divide by the change in independent variable.

Slope can rate of increase when it is positive. And rate of decrease when it is negative.

Since the slope of the line through the points is 2. Which is positive, the correct option that describes how the slope relates to the height of the water in the pool is therefore;

The height of the water increases 2 inches per minute. Which is option A