For f(x)=3x+1 and g(x)=x^2-6, find (f•g)(x).

Answer:

Answer is option d) 2

Step-by-step explanation:

[tex]given \: that \: x = 2 \: \: \: and \: \: \: y = 4 \\ value \: of \: \frac{2x + 3y}{4} - 2 \\ = \frac{2(2) + 3(4)}{4} - 2 \\ = \frac{4 + 12}{4} - 2 \\ = \frac{16}{4} - 2 \\ = 4 - 2 \\ = 2[/tex]

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For the given expression (2x + 3y) ÷ 4 - 2, If x = 2 and y = 4, the value of expression is, 2

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression, (2x + 3y)/4 - 2

The value of expression, when  x = 2 and y = 4

⇒ (2×2 + 3×4)/4 - 2

⇒  (4+12)/4 -2

⇒   16/4  - 2

⇒  2

Hence, the value of expression is 2

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Answer:

The rational number representing the average change in the volume of water each day is:

[tex]\frac{0.875 liters}{1 day}[/tex]

Step-by-step explanation:

Rational numbers are those that can be represented as the quotient of two integers. That is, rational numbers can be represented by a fraction [tex]\frac{a}{b}[/tex], where a is the numerator and b is the denominator that must be other than zero. To express the set of these numbers, mathematicians use a capital Q.

In this case we know that Finn's pool leaked a total 3.5 L in 4 days, so the rate can be written as:

[tex]\frac{3.5 liters}{4 days}[/tex]

Now you must make this division or quotient, where the denominator will be 1 because you must know the number of liters drained per day:

[tex]\frac{3.5 liters}{4 days}=\frac{0.875 liters}{1 day}[/tex]

So the rational number representing the average change in the volume of water each day is:

[tex]\frac{0.875 liters}{1 day}[/tex]

Answer:

54 adult tickets and 27 child ticket

54×9.10+5.20×27=631.80

419.4+104.4=631.80

631.80=631.80 ( so it's the answer)

Answer:

(4,8)

Step-by-step explanation:

The solution is where the two lines intersect.

The graphs intersect at x=4 and y = 8

(4,8)

Answer:    B: (4,8)

Step-by-step explanation:

y = 3x +2           you will go to positive to on the graph and go up 3 and to the right two because it is positive until you can't no more.

y = -6x + 32

you will go to +32 on the graph and then go down six and since there is no number under -6 you will replace it with one so it will look like this -6x/1

Answer:

0.267[tex]mm^3[/tex]

Step-by-step explanation:

Radius of the Bubble = 0.7 mm

Volume of the bubble is given by the formula :

[tex]r=\sqrt[3]{\frac{3V}{4\pi } }[/tex]

Taking cube on both sides

[tex]V=\frac{4\pi\times r^3 }{3}\\\\ V=\frac{4\times3.14\times(0.7)^3}{3}\\\\V=\frac{12.56\times 0.064}{3}\\\\ V=\frac{0.804}{3}\\\\V=0.267mm^3[/tex]

Answer:

square root of 26 (sorry couldn't get the symbol)

Step-by-step explanation:

C^2 = A^2 + B^2 (Pythagoras Theorem)

C^2 = 5^2 + 1^2

C^2 = 26

take square root of both sides

C =

[tex] \sqrt{26} [/tex]

Answer: all of them

Step-by-step explanation:

Rational numbers are represented as dividing two integers, which is a fraction or decimal. Therefore, the numbers stated (134, 49, 9, etc.) are rational numbers since they are all whole numbers.

Answer:

2(L+W)H

Step-by-step explanation:

Surface area= 2(L+W)H

Answer:

c)

Step-by-step explanation:

The equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64. Then the correct option is D.

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x – h)² + (y – k)² = r²

A circle with center (-1, 2) and radius of 8.

Then the equation of the circle will be

(x – h)² + (y – k)² = r²

(x + 1)² + (y – 2)² = 8²

(x + 1)² + (y – 2)² = 64

Thus, the equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64.

Then the correct option is D.

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Answer:

b) 15 winners

Step-by-step explanation

if 3 winners get $720,000 each that means there is $2,160,000 total. So if each winner gets $144,000 each that means there are 15 winners.

(2,160,000/ 144,000)

Answer:

the answer is B, because triangle BCA is a rotation of triangle XYZ.

Step-by-step explanation:

Answer:

12 cm

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter is 6 so the radius is d/2 = 6/2 = 3

108 pi = pi (3)^2 h

108 pi = 9pi h

Divide each side by 9pi

108 pi /9pi = 9pi h/9pi

12 = h

Answer:

12cm in height

Step-by-step explanation:

Answer:

7+42x

Step-by-step explanation:

7(1+6x)

Distribute

7*1 + 7*6x

7+42x

Answer:

7 + 42x

Step-by-step explanation:

Use the distributive property

7 + 42x

Answer:

"If two arcs are both equal in measure and they're segments of congruent circles, then they're congruent arcs"

Step-by-step explanation:

Answer:

it might come from 9/n = 10/m

Answer:

9/m=10/n

Step-by-step explanation:

[tex]answer \\ 187 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

2.375m

Step-by-step explanation:

Length of box = 8 m

Width of box = 3 m

Height of box = 2.4 m

It initially contains water of volume 37 m³. 20 m³ of water is added to it.

So, New volume = 37+20 = 57 cubic m

Volume of water = Length \times Width \times Height = 8 \times 3 \times Height

So, 8 x 3 x height = 57

Height = 57/ 8x3

Height =2.375 m

hence the depth of the water in the through after 20 m³ of water is added to it is 2.375m

Answer:

11 +6i

Step-by-step explanation:

(3+4i)+(8+2i)

Add the real portions

3+8 = 11

Add the imaginary portions

4i+2i = 6i

The complex number in a+bi form is

11 +6i

Answer:

[tex] = 11 + 6i[/tex]

Step-by-step explanation:

[tex](3 + 4i) + (8 + 2i) \\ 3 + 4i + 8 + 2i \\ = 11 + 6i[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Step-by-step explanation:

A polygon is a shape with at least three straight lines and angles

Answer:

The equivalent fraction is:   [tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]

which agrees with the second answer in the list of options

Step-by-step explanation:

Recall that in order to rationalize a denominator of this type (remove the square roots), we need to multiply numerator and denominator of the fraction we have by the conjugate of the binomial. That is, multiply top and bottom of the fraction by the expression:  

[tex]5-\sqrt{10\,x}[/tex]

Therefore we have:

[tex]\frac{5}{5+\sqrt{10\,x} } =\frac{5\,(5-\sqrt{10x} )}{(5+\sqrt{10\,x})\,(5-\sqrt{10x})} =\frac{5\,(5-\sqrt{10x} )}{(25-10x)} }=\frac{5\,(5-\sqrt{10x} )}{5\,(5-2x)} }=\frac{5-\sqrt{10x} }{5-2x} }[/tex]

Then this is the equivalent rationalized expression:

[tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]

Answer:

B.

Step-by-step explanation:

A P E X

Answer: The angle of depression would be 26.57°

Step-by-step explanation: Please refer to the attached picture for further details.

What harry has done has effectively led to the formation of a right angled triangle. As shown in the diagram, the camera has been mounted at a height of 8 feet above the ground. Also he mounts the camera at a horizontal from the entrance, which puts the camera at 16 feet away from the entrance (not from the ground). In order to capture every movement at the entrance, the camera range would be determined by an angle which covers everything from top to bottom of the entrance. That gives you the angle of depression which is at the point labelled CAMERA in the triangle.

Having determined two sides and an angle (unknown) in a right angled triangle, we shall use the trigonometric ratios as follows;

Tan ∅ = Opposite/Adjacent

Where the opposite is 8 (side facing the reference angle) and the adjacent is 16 (side that lies between the reference angle and the 90 degree angle)

Tan ∅ = 8/16

Tan ∅ = 0.5

By use of a calculator,

∅ = 26.5650

∅ ≈ 26.57

Therefore the angle of depression of the surveillance camera should be 26.57°

Answer:

1/1

Step-by-step explanation:

Answer:

It would be 14/11

when you make it a mixed number, it'll be 1 3/11

Step-by-step explanation:

You can't simplify it more than 3/11 so

1 3/11

Answer:

y = 62°

Step-by-step explanation:

z represents the mid segment of the triangle.

Since, midsegment is parallel to the third side of the triangle.

[tex] \therefore \: y = 62 \degree...(correspnding \: \angle s) \\ [/tex]

Answer:

x=-3 and x=-7

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

i just took the test, its 23

Answer: 1/11 is the simplified form...

Hope this helps, stay safe :D

Answer:

1/11

Step-by-step explanation:

divide top and bottom by 100 = 4/44

divide top and bottom by 4 = 1/11

Answer:

1) (2,2)

2) (2,-1)

3) (-4,1)

Step-by-step explanation:

Answer: Yes it's possible for Joshua to meet his goal of having $5,000 after 4 years.

Step-by-step explanation:

From the question, Joshua has $4,200 to invest for college which he invests $4,200 for 3 years and earns $630.

Interest = (Principal × Rate × Time)/100

630 = (4200 × R × 3)/100

630 = 12600R/100

12600R = 630 × 100

12600R = 63000

Interest rate =63000/12600 = 5%

Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%?

Interest = (Principal × Rate × Time)/100

Interest = (4200 × 6 × 4)/100

= 100800/100

= $1008

At the end of 4 years, Joshua will have:

= $4200 + $1008

= $5208

Yes it's possible.