if f(x)= 5 ^ x + 2x and g(x)= 3x - 6, find (f+g)(x)​

Answer:

Height of parallelogram = 5.07 inches

Step-by-step explanation:

We are given Area of Parallelogram = 32 in^2

Height of Parallelogram = ?

Base of Parallelogram = 6.3 in

The formula to find the Area of Parallelogram is:

Area of Parallelogram = Base * Height

32 = 6.3 * Height

=> Height = 32/6.3

=> Height = 5.07 inches

So, height of parallelogram = 5.07 inches

The missing variable for this parallelogram is the height, which is 5.08 inches.

We begin with the formula for the area of a parallelogram:

We plug in all given information.  We know the area, 32 in², and we know the base, 6.3 in:

Next we solve for our variable, h.  Since 6.3 and h are beside each other, we know they have been multiplied.  To cancel this, we will divide both sides by 6.3:

This means that the missing variable, the height, is approximately 5.08 inches.

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Keywords: missing variables, missing measurements, area of parallelogram, missing side of parallelogram

a box plot is drawn with end points at 10 and 35. The box extends from 13 to 30 and a vertical line is drawn inside the box at 21.

For this case we have that the variable "x" represents the number of hours that Leticia uses to take care of children on Saturday.

IF on Friday I use 4 hours ($ 8 each) and on Saturday "x" hours ($ 8 each) obtaining a profit of $ 72, we have the following equation:

[tex]8 (4 + x) = 72[/tex]

We apply distributive property:

[tex]32 + 8x = 72\\8x = 72-32\\8x = 40\\x = \frac {40} {8}\\x = 5[/tex]

So, on Saturday she spent 5 hours.

Answer:

[tex]8 (4 + x) = 72\\x = 5[/tex]

Answer:

Option A.

Option  C.

Step-by-step explanation:

Let be "x" the amount of hours  Leticia babysat on Saturday.

We know that she charges $8 per hour to babysit, she babysat Friday night for 4 hours and the total amount of money she earned on those two days was $72. Knowing this, we can set up the followin equation models this situation:

[tex]8(4+x)=72[/tex]

Finally, we must  solve for "x":

[tex]8(4+x)=72\\\\32+8x=72\\\\8x=72-32\\\\8x=40\\\\x=\frac{40}{8}\\\\x=5[/tex]

Answer:

[tex]5x\leq30[/tex]

Step-by-step explanation:

Let

x -----> the number of ice cream

we know that

[tex]5x\leq30[/tex]

Solve for x

Divide by 5 both sides

[tex]x\leq30/5[/tex]

[tex]x\leq 6\ ice\ cream[/tex]

therefore

The maximum number of ice cream is 6

Answer:

b. 3

Step-by-step explanation:

In a 30°-60°-90° triangle, the short side is ½ the hypotenuse [the long side is double the short side].

30°-60°-90° Triangles

x√3 → long side

x → short side

2x → hypotenuse

45°-45°-90° Triangles

x → two legs

x√2 → hypotenuse

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Answer:

acute

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

acute and obtuse

Step-by-step explanation:

In an obtuse triangle, one angle is greater than a right angle—it is more than 90 degrees. An obtuse triangle may be isosceles or scalene. In an acute triangle, all angles are less than right angles—each one is less than 90 degrees. Please mark me as branliest. Thank you :3

Answer:

(2x-9)(2x+9)

Step-by-step explanation:

This is a difference of squares because it can be written as (2x)^2-9^2

The formula for factoring a difference of squares is a^2-b^2=(a-b)(a+b)

So replace a with 2x and b with 9 giving us

4x^2-81=(2x-9)(2x+9)

Answer:

f(6)  =  68

Step-by-step explanation:

f(6)

f(n+1)=f(n)-8

n = 5, so

f(6)=f(5)-8

and with n = 4

f(5)=f(4)-8 , so

f(4) = f(3) - 8

f(3) = f(2) - 8 = 100 - 8 = 92

f(3)  = 92

Then, we can go and find the result

f(4) =[92] - 8  = 84

f(5)=[84] - 8 = 76

f(6)  = [76] -8 = 68

[tex]f(n+1)=f(n)-8\\f(2)=100\\\\f(3)=100-8=92\\f(4)=92-8=84\\f(5)=84-8=76\\f(6)=76-8=68[/tex]

Answer:

its (5x+8)(25x^2-40x+64

Step-by-step explanation:cuz

Answer: 24

Step-by-step explanation:

Break down the numbers until they have no way to be broken down anymore

8 = 4*2 = 2*2*2

24 = 6*4 = 3*2*2*2

The one that has more products is 24, so, it is 24.

Answer:

14.08 m

Step-by-step explanation:

Start by finding the area of the fence and the area of the garden. Garden- 10.1*4.2=42.42   Fence-11.3*5=56.5

Now subtract the two values. 56.5-42.42=14.08

Answer:

D) 8

Step-by-step explanation:

2^3 means 2 times itself 3 times:

2*2*2

2*2 is 4 so:

4*2

4*2 is 8 so the answer is D, 8!

D) 8

Mathematics written statement indicating the equality of 2 expressions. this consists of the sequence of symbols that are split in the left or right sides joined by the equal sign. example, 2 + 4 + 5 = 11 is an equation.

When equality holds, the total weight on the each side is the same. Equations often contain terms other than a unknowns. These other terms, which are assumed to known, is usually known as constants, coefficients and parameters

2^3 means 2 times itself 3 times:

2*2*2

2*2 is 4 so:

4*2

4*2 = 8

so the option is D, 8

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Answer:

(-7,3)

Step-by-step explanation:

Given that point (-7,1) is on the graph of f(x), means that

[tex]f(-7)=1[/tex]

To find the corresponding point for the function y=3f(x), you have to find the value of the function at x=-7.

Substitute x=-7 into the function's expression:

[tex]y=3f(-7)[/tex]

Since f(-7)=1, we have that

[tex]y=3\cdot 1=3[/tex]

Hence, the corresponding point has coordinates (-7,3)

To find the corresponding point for the function 3f(x), multiply the y-coordinate of the given point by 3.

To find the corresponding point for the function 3f(x), we need to multiply the y-coordinate of the given point by 3.

Given that (-7,1) is on the graph of f(x), we multiply the y-coordinate by 3 to get (1*3) = 3.

Therefore, the corresponding point for the function 3f(x) is (-7,3).

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Answer:

[tex]x=15.56[/tex]

Step-by-step explanation:

We can use the law of sines here. However, we will first need to solve for the missing angle.

The interior angles of a triangle add up to 180.

Therefore,

[tex]35+90+x=180[/tex]

where [tex]x[/tex] is the missing angle.

[tex]35+90+x=180[/tex]

[tex]x+125=180[/tex]

[tex]x=55[/tex]

So the missing angle is 55 degrees.

Now we can use the law of sines to set up a proportion.

[tex]\frac{19}{sin(90)}=\frac{x}{sin(55)}[/tex]

Now simplify the equation.

[tex]x=15.56[/tex]

Rounded to the nearest hundredth.

Answer:

x ≈ 19.6

Step-by-step explanation:

Since the triangle is right use the cosine ratio to solve for x

cos35° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{19}[/tex]

Multiply both sides by 19

19 × cos35° = x, hence

x ≈ 19.6 ( to 1 dec. place )

Answer:

Simplify by combining like terms, she combined 1/2 and 1 which equals 3/2. Your answer is A.

Step-by-step explanation:

The missing step in Fiona's solution to the equation 1/2 - 1/3(6x - 3) = -13/2 was the distribution of the 1/3 to each term in the parentheses and the multiplication of the equation by 2.

To find the missing step of Fiona's solution, we first need to simplify the equation. The given equation is 1/2 - 1/3(6x - 3) = -13/2. The missing step may be the distribution of the 1/3 onto the (6x - 3). This leads to 1/2 - (2x - 1) = -13/2.

Following this, we need to remove the fraction on the left side of the equation by multiplying the entire equation by 2. This gives 1 - (4x - 2) = -13. Finally, simplifying this further gives us -4x = -16, and solving for x we get x = 4.

Therefore, Fiona's missing step was the distribution of the 1/3 to each term in the parentheses and the multiplication of the equation by 2 to get rid of fractions.

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Answer:

Im boutta fail my final

Step-by-step explanation:

1 like= 1 prayer

Answer:

18

Step-by-step explanation:

First you need to plug in the numbers for each variable.

3(3)+(5+2(8))-12

Now you solve

3(3)+(21)-12

9+21-12

18

Answer:

Multiply 9 by 6

Step-by-step explanation:

7:9 is the ratio

We multiply the first term by 6.

What we do to one side, we do to the other

7*6=42

9*6 = 54

That way we keep the ratio in the same proportion

42:54

Answer: Multiply 9 by 6.

Step-by-step explanation:

The equivalent expression to 4 √6 divided by 3 √2 is 4/3 × √3. This is achieved by expressing the square roots as fractional exponents and simplifying.

The student is asking which expression is equivalent to the following mathematical expression: √(4 √6) / (3 √2).

To simplify this expression, we'll use the properties of exponents and radicals.

The square root of a number x can be written as x raised to the power of 0.5, so:

√6 = 60.5

√2 = 20.5

The given expression thus becomes:

(4 × 60.5) / (3 × 20.5) = 4/3 × 60.5/20.5

Since the exponents are the same, we can simplify the radicals by dividing the numbers inside the radicals:

4/3 × (6/2)0.5 = 4/3 × (3)0.5

And as (3)0.5 is the square root of 3:

4/3 × √3

Therefore, the equivalent expression is 4/3 × √3.

ANSWER

b) The degree of the function is even so the ends of the graph continue in the same direction. because the leading coefficient is negative the left side of the graph continues down the coordinate plane and the right side also continues downward

EXPLANATION

The given polynomial function is

[tex]f(x) = - {x}^{4} + 1[/tex]

The degree of this function is even which is 4.

The function extends in the same direction at both ends.

In other words both ends continue in the same direction.

Since the coefficient of the leading term is negative, the graph extends to negative infinity at both ends.

The correct answer is B

Answer:

D intersect E=D (the first one you have)

Step-by-step explanation:

D is a subset of E

That means all the elements in D are also in E

So the intersection of D and E is D.

The first thing you wrote is correct, that is, D intersect E=D is right

Answer:

[tex]D\cap E[/tex]=D

Step-by-step explanation:

We are given that D is not empty set but D is a subset of set E.

We have to find the true statement.

[tex]D\neq \phi[/tex]

D is  a subset of set E

Therefore,[tex]D\subset E\neq \phi[/tex]

Intersection: It is the set of common  elements of two sets.

Therefore,[tex]D\cap E[/tex]=D

Because E contains all elements of D .

Hence, Option A is true.

Answer:

Step-by-step explanation:

Perimeter= 2L+2W. If L=3W(three times the width) then 2(3W)+2W=112. Or 6W+2W=112 which is equal to 8W=112. To solve for the width, divide both sides by 8 and find 112/8=14, therefore W=14.

Answer:

14 cm

Step-by-step explanation:

Given the length is 3 times the width

If each width is denoted by W, then each length is L = 3W

Perimeter (add up all lengths and widths),

= L + L + W + W

= 3W + 3W + W + W

= 8W

Given that the max perimeter is 112cm

hence 8W = 112,

W = 14 cm at most

Answer:

The equation has infinity solutions

Step-by-step explanation:

3( x - 4 ) + 5 - x = 2 x - 7

⇒ Expand brackets

3 x - 12 + 5 - x = 2 x - 7

⇒ Simplify

2 x - 7 = 2 x - 7

Answer:

B. [tex]y-9=2(x-1)[/tex]

Step-by-step explanation:

We have been given graph of a line on coordinate plane. We are asked to find the equation of our given line.

First of all, we will find slope of our line using points [tex](-2,3)\text{ and }(1,9)[/tex] in slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{9-3}{1-(-2)}[/tex]

[tex]m=\frac{6}{1+2}[/tex]

[tex]m=\frac{6}{3}[/tex]

[tex]m=2[/tex]

We can see that our given equations are in point-slope form of equation: [tex](y-y_1)=m(x-x_1)[/tex], where,

m = Slope,

[tex](x_1,y_1)[/tex] = Coordinates of point on line.

We can get two equations of our line in point-slope form as:

[tex](y-3)=2(x--2)[/tex]

[tex](y-3)=2(x+2)[/tex] or

[tex](y-9)=2(x-1)[/tex]

Upon looking at our given choices, we can see that option B is the correct choice.

Answer:

$720

Step-by-step explanation:

1 hour of tutoring  =  $45

16 hours of tutoring = $45 x 16 hours = $720

Answer:

$720

Step-by-step explanation: just multiply 45 and 16 together, boom theres your answer

Answer:

104

Step-by-step explanation:

< MON  = 180 - 104 = 76

This is an isosceles triangle.

There fore < OMN = 76

< LMN =  180 -76 = 104

Answer:

X int : 5

Y int : 15

Step-by-step explanation:

y=15

-

3x=15

3/3 15/3

x=5

Answer:

y-intercept=15 and x-intercept = 5

Step-by-step explanation:

We have the following equation:

3x + y = 15.

To find the x-intercept and y-intercept we have to do the following:

1. To find the y-intercept we need to make x=0, and solve for 'y' as follows:

3x + y = 15 ⇒ 3(0) + y = 15 ⇒ y=15

2. To find the x-intercept we need to make y=0, and solve for 'x' as follows:

3x + y = 15 ⇒ 3x + (0) = 15 ⇒ 3x = 15  ⇒ x=5

Therefore, the y-intercept=15 and x-intercept = 5

Divide 45 by 3 ( the quantity of consecutive numbers) This will give you the middle number, then use the number higher and lower.

45/3 = 15

14 + 15 + 16 = 45

The 3 numbers are 14, 15 and 16