Suppose f(x)=6x-2 and g(x)=2x+4. Find each of the following functions.

a. (f+g)(x)

b. (f-g)(x)

Need help guys

[tex] \tt \pink{nonsense = report}[/tex]

[tex] \tt \pink{correct = brainliest.\: heart. \: rate \: 5}[/tex]
​

Answer: 151.2 ft²

Step-by-step explanation:

      The surface area, in this case, is the area of all the shapes given combined.

      For the rectangles:

             A = L * W

      For the triangles:

             A = [tex]\frac{L*W}{2}[/tex]

-> See attached

    Now, we will add them altogether.

54 + 54 + 27 + 16.2 = 151.2 ft²

Answer:

3/2,6

Step-by-step explanation:

Answer:

answer is 6/4 because 18/6=3,12/4=3 so,

Answer:

g(-3) = 20

g(2) = 10

g(7) = 100

Step-by-step explanation:

g(x) = 2f(x) tells us that g(x) is two times f(x). Instead of f(x) we can write (x² + 1).

g(x) = 2f(x)

g(x) = 2(x² + 1)

Multiply.

g(x) = 2x² + 2

Now that we have g(x) we just substitute values in the function.

g(-3) = 2(-3)² + 2

        = 2(9) + 2

        = 18 + 2  

        = 20

g(2) = 2(2)² + 2

        = 2(4) + 2

        = 8 + 2  

        = 10

g(7) = 2(7)² + 2

        = 2(49) + 2

        = 98 + 2  

        = 100

Answer:

Step-by-step explanation:

Length=18

Width/Breadth =10

Height=2

The formula for a diagonal face of a cuboid is=√(l²+ b²)

Face diagonal=√(18²+10²)

= 20.59 to 2.d.p

The formula for the body diagonal of a cuboid is=√(l² + b² + h²)

Body diagonal=√(18² + 10² + 2²)

=20.69 to 2.d.p

Answer:

x ≈ 8.7

Step-by-step explanation:

given 2 secants from an external point to the circle, then

the product of the external part of one secant and the entire secant is equal to the product of the external part of the other secant and the entire secant , that is

6(6 + x) = 4(4 + 18) ← distribute parenthesis on both sides

36 + 6x = 4 × 22 = 88 ( subtract 36 from both sides )

6x = 52 (divide both sides by 6 )

x ≈ 8.7 ( to the nearest tenth )

Answer:

the top of the ladder is approx 8.485 meters off the ground

written explanation included

Step-by-step explanation:

I should probably write this out in one note but bear with me, please.

Assuming the ground and the wall meet at a 90° angle

therefore the angles of the triangle formed are 90°, 30°, and 60°

Answer:

B

C

B, C

Step-by-step explanation:

Equation for each tree's growth.

A: y = 4x + 5

You are correct.

B: Your slope is correct, 4.5

Equation of height: y = 4.5x + 3

C: It starts at 10 inches, so in y = mx + b, b = 10.

Now we find the slope from points on the graph (0, 10) and (3, 20).

slope = m = (20 - 10)/(3 - 0) = 10/3

Equation: y = 10x/3 + 10

Questions:

Which tree is growing fastest:

The slope is the rate of growth.

Answer: B since it has the greatest slope.

Tallest tree when planted:

The y-intercept is the4 initial height.

Answer: C since it was 10 inches tall at planting.

Challenge:

A: 4x + 5 = 4(6) + 5 = 29

B: 4.5x + 3 = 4.5(6) + 3 = 30

C: 10x/3 + 10 = 10(6)/3 + 10 = 30

Trees B and C were both 30 inches at 6 months. Tree A was 29 inches.

Answer: B and C

The expression w = A/l can be used to find the width of the rectangle if the area and length of the rectangle are given.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose the width of the rectangle is w and the length of the rectangle is l

Then, the area of rectangle(A) can be given as:

A = lw

divide by l on both the sides:

A/l  =  lw/l

A/l = w

or

w = A/l

Thus, the expression w = A/l can be used to find the width of the rectangle if the area and length of the rectangle are given.

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After 18.8 years, Halle account exceed $10,000 if Halle deposited $4000 into an account that earns 5% interest, each year.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where a is a constant and a>1

We have an exponential equation:

[tex]\rm a = 4000(1+ 0.05)^t[/tex]

Plug a = $10,000

[tex]\rm 10000 = 4000(1+ 0.05)^t[/tex]

After calculating:

[tex]\rm 1.05^t= 2.5[/tex]

t = 18.78 ≈ 18.8 years

Thus, after 18.8 years, Halle account exceed $10,000 if Halle deposited $4000 into an account that earns 5% interest each year.

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Using the permutation formula, it is found that the people can be chosen for the roles in 6840 ways.

The order in which the people are chosen is important, as there are different roles, hence the permutation formula is used.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 3 people will be chosen from a set of 20 people, hence the number of ways is given by:

[tex]P_{20,3} = \frac{20!}{17!} = 6840[/tex]

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Answer:

5 oranges

Step-by-step explanation:

to solve this problem we need to make a cross-multiplication equation

2.34 is to 6 as 1.95 is to ?

? is the number of oranges that are needed to be found that were bought

2.34/6 = 1.95/?

Now we cross multiply 6 and 1.95 = 11.7

11.7/2.34 = 5

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Answer: She bought 5 oranges

Step-by-step explanation:

We need to find out how much one orange costs first, so we do:

$2.34 ÷ 6or = $0.39

Thirty-nine cents is how much one orange cost.

Now you multiply the initial value of 1 orange by 5, so:

$0.39 x 5 = $1.95, $1.95 =5 oranges

You can also do $1.95 divided by $0.39 which is 5.

(you can multiply till you find the number or divide the given number by the other divided number)

Therefore, that means Mav bought 5 oranges.

[tex] \sqrt{25 \: - \: 10 \sqrt{3} \: + \: 3} [/tex]

[tex] \sqrt{(5 \: - \: \sqrt{3} ) ^{2} } [/tex]

[tex] \boxed{ \bold{5 \: - \: \sqrt{3} }}[/tex]

Answer:

496 people

Step-by-step explanation:

If 124 people attend 2 show times, in 8 show times (8 is four times of 2 show times; 8 / 2 = 4) there will be 124 · 4 people.

124 · 4 = 496.

In 8 show times, there will be 496 people who view the movie

(Or, if there are 124 people in 2 shows, it means that there were 62 people in each show [assuming the crowd was split evenly], and if there were 8 shows, there would be 62 · 8 people, 62 · 8 = 496)

Changing the confidence level from 95% to 90% will make the necessary sample size decrease if the margin of error stays the same.

From the question, we understand that the confidence level decreases from 95% to 90%

When the confidence level decreases, the sample size increases because the standard error increases

Hence, the statement that completes the blank is decrease

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Answer:

see the attachment photo!

The statement that is true about the polygons is: the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle.

An circumscribed quadrilateral is a quadrilateral whose four side lie tangent to the circumference of a circle. The opposite angles in an inscribed quadrilateral are supplementary, that is, when added together, their sum equals 180 degrees.

From the two figures given, the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle. (Option D).

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The length of major arc ACD in the circle with center D is given as (325/36)π feet

An equation is an expression that shows the relationship between two or more numbers and variables.

The length of major arc ACD = [(360 - 35) / 360) * 2π(10/2) = (325/36)π feet

The length of major arc ACD in the circle with center D is given as (325/36)π feet

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Answer:

5/7 - 2/6 = 16/42

Choice 4^th

Step-by-step explanation:

Given equation:

5/7 - []/6 = 16/42

To Find:

The missing numerator

Solution:

Let us assume that the missing numerator is x.

Then the equation will be:

[tex] = > \cfrac{5}{7} - \cfrac{x}{6} = \cfrac{16}{42} [/tex]

Solve the equation to get our solution.

[tex] = > \cfrac{5}{7} - \cfrac{1x}{6} = \cfrac{16}{42} [/tex]

You'll need to re-write this equation as:

[tex] = > \cfrac{ - 1x}{6} + \cfrac{5}{7} = \cfrac{8}{21} [/tex]

Subtract 5/7 from both sides:

[tex] = > \cfrac{ - 1x}{6} + \cfrac{5}{7} - \cfrac{5}{7} = \cfrac{8}{21} - \cfrac{5}{7} [/tex]

[tex] = > \cfrac{ - 1}{6} x = \cfrac{ - 1}{3} [/tex]

Multiply both sides by 6/-1:

[tex] = > \cfrac{ \cancel{- 1}}{ \cancel6} x \times \cfrac{ \cancel6}{ \cancel{- 1}} = \cfrac{ \cancel{- 1}}{ \cancel3} \times \cfrac{ \cancel6 {}^{2} }{ \cancel{ - 1} }[/tex]

[tex] = > \boxed{ x = 2}[/tex]

Hence,

5/7 - 2/6 = 16/42

Choice 4^th

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

Answer:

C.

Step-by-step explanation:

9+ 15+ 17+ 18+6+ 20+ 8+ 5+ 18+ 18+ 10+ 5+ 14+ 12+ 10+ 7=192

192/16=12

Hope this helps!

If not, I am sorry.

Answer:

226,800

Step-by-step explanation:

Calculator

Answer:226,800

Step-by-step explanation:

The possible names for the shape in the image are Parallelogram and Quadrilateral since it has two equal opposite sides which are parallel.

First we take a look of the properties of the likely names;

Properties of Parallelograms

Properties of Quadrilaterals

Properties of Rectangles

Properties of Rhombus

Properties of Trapezoids

From the properties, the shape is not a rectangle because each of the interior angle is not 90 degrees. It is not a Rhombus because all its sides are not equal. It is not a Trapezoid because only the bases are parallel to each each other.

Hence, the possible names for the shape in the image are Parallelogram and Quadrilateral since it has two equal opposite sides which are parallel.

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Answer:

Where is the expression?

Step-by-step explanation:

Please write the expression.

Answer:

x ≈ 4.4

Step-by-step explanation:

using the tangent ratio in the right triangle

tan43° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{UV}{VW}[/tex] = [tex]\frac{4.1}{x}[/tex] ( multiply both sides by x )

x × tan43° = 4.1 ( divide both sides by tan43° )

x = [tex]\frac{4.1}{tan43}[/tex] ≈ 4.4 ( to the nearest tenth )

The value of x, Round to nearest tenth is,

⇒ x = 4.4 units

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

A triangle is shown in image.

Now, We can formulate;

tan 43° = Opposite / Base

⇒ tan 43° = 4.1 / x

⇒ 0.932 = 4.1 / x

⇒ x = 4.1 / 0.932

⇒ x = 4.39

⇒ x = 4.4 units

Thus, The value of x, Round to nearest tenth is,

⇒ x = 4.4 units

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Answer:

C. 3rd one Fraction 10/24

Step-by-step explanation:

3/4 - 2/6 = 0.41 or = 10/24 or it could be equal to 5/12​ are 10/24, 15/36, 20/48 and 25/60 or as Decimal 0.41

Step-by-step explanation:

Hope This Helped

Based on the calculations, the volume of this louvre pyramid is equal to 8,983 cubic meter..

Given the following data:

Base width = 35 meters.

Height = 22 meters.

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × base area × height

For the base area, we have:

Area = w²

Area = 35² = 1,225 m².

Substituting the parameters into the formula, we have;

Volume = 1/3 × 1,225 × 22

Volume = 1/3 × 26,950

Volume = 8,983 cubic meter.

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Answer:

2996

Step-by-step explanation:

5x + 4x = 6741

9x = 6741

x = 6741/9

x = 749

to get the no votes,

4x i.e 4*749

=>  4*749 = 2996

hope this helps :)

Answer:

2996

Step-by-step explanation:

Answer:

Dimensions:  125 m x 250 m

Area:  31,250 m²

Step-by-step explanation:

Given information:

First, let us assume that the land is rectangular in shape.

Let [tex]y[/tex] = length of the side opposite the river

Let [tex]x[/tex] = length of the other 2 sides of the land

Therefore, we can create two equations from the given information:

  Area of land:   [tex]A= xy[/tex]

  Perimeter of fence:   [tex]2x + y = 500[/tex]

Rearrange the equation for the perimeter of the fence to make y the subject:

[tex]\begin{aligned} \implies 2x + y & = 500\\ y & = 500-2x \end{aligned}[/tex]

Substitute this into the equation for Area:

[tex]\begin{aligned}\implies A & = xy\\& = x(500-2x)\\& = 500x-2x^2 \end{aligned}[/tex]

To find the value of x that will make the area a maximum, differentiate A with respect to x:

[tex]\begin{aligned}A & =500x-2x^2\\\implies \dfrac{dA}{dx}& =500-4x\end{aligned}[/tex]

Set it to zero and solve for x:

[tex]\begin{aligned}\dfrac{dA}{dx} & =0\\ \implies 500-4x & =0 \\ x & = 125 \end{aligned}[/tex]

Substitute the found value of x into the original equation for the perimeter and solve for y:

[tex]\begin{aligned}2x + y & = 500\\\implies 2(125)+y & = 500\\250+y & = 500\\y & = 250\end{aligned}[/tex]

Therefore, the dimensions that will give Christine the maximum area are:

125 m x 250 m (where 250 m is the side opposite the river)

The maximum area is:

[tex]\begin{aligned}\implies \sf Area_{max} & = xy\\& = 125 \cdot 250\\& = 31250\: \sf m^2 \end{aligned}[/tex]

Answer:

Negative 3 less-than y less-than-or-equal-to 3

Step-by-step explanation:

By looking at a coordinate plane, we can easily see the range

remember, a closed dot means includes , and an open dot means does not include

[closed dot]

(open dot)

the range is all possible y-values. so, all y values shown are

3               which it includes

to -3            which it excludes  / does not include

so, all y values are greater than -3 and less than or equal to 3