A rental car company charges $22 per day to rent a car at 0.08 for every mile driven Samuel wants to rent a car knowing that he plans to drive 450 miles he has at most to spend $80 right and solve an inequality which could determine X the number of days Samuel can afford rent Austin within his budget

\(f(x)=x^2+2x\hspace{5em}g(x)=x+4 \\\\\\ (f\circ g)(2)\implies f(~~g(2)~~)\hspace{5em}(g\circ f)(2)\implies g(~~f(2)~~) \\\\[-0.35em] ~\dotfill\\\\ g(2)=(2)+4\implies g(2)=6 \\\\\\ f(~~g(2)~~)\implies f(6)\implies (6)^2+2(6)\implies \text{\LARGE 48} \\\\[-0.35em] ~\dotfill\\\\ f(2)=(2)^2+2(2)\implies f(2)=8 \\\\\\ g(~~f(2)~~)\implies g(8)\implies (8)+4\implies \text{\LARGE 12}\)

1) Whenever we are interpreting we must be careful. Note that not necessarily the order

2) 2x +11 is "11 more than twice a number x"

The general form of the equation of the Quadratic function is y = (-1/9) x2-(14/9) x-43/9.

The general form of the equation of the Quadratic function is y = (-1/9) x2-(14/9) x-43/9.    

The general form of the equation of a quadratic function given the vertex and a point on the graph, we can use the vertex form of the quadratic equation  y =  a( x- h) 2 k  where( h, k) represents the vertex of the parabola.  In this case, the vertex is(- 7, 6) and the point is(- 10, 5).  We can substitute these values into the equation to get  5 =  a(- 10-(- 7)) 2 6  Simplifying  farther  5 =  a(- 10 7) 2 6  5 =  a(- 3) 2 6  5 =  9a 6  Now, we can  break for' a'  a =  5- 6  9a = -1  a = -1/ 9  Substituting this value back into the equation, we get  y = (-1/9)( x-(- 7)) 2 6

 Simplifying  farther  y = (-1/9)( x 7) 2 6  Expanding and rearranging, we can write the equation in general form  y = (-1/9)( x2 14x 49) 6  y = (-1/9) x2-(14/9) x-49/9 6  y = (-1/9) x2-(14/9) x-43/9  So, the general form of the equation of the quadratic function is y = (-1/9) x2-(14/9) x-43/9.

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Hello!

To find the equation of the line that passes through the points (0,-8) and (4,-3), we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, find the slope (m) of the line using the formula:

m = (y2 - y1)/(x2 - x1)

where (x1, y1) = (0,-8) and (x2, y2) = (4,-3).

m = (-3 - (-8))/(4 - 0) = 5/4

Now that we have the slope (m), we can use the point-slope form of the equation to find the equation of the line:

y - y1 = m(x - x1)

where (x1, y1) = (0,-8) and m = 5/4.

y - (-8) = (5/4)(x - 0)

Simplify the equation to get the slope-intercept form:

y + 8 = (5/4)x

y = (5/4)x - 8

Therefore, the equation of the line that passes through the points (0,-8) and (4,-3) is y = (5/4)x - 8.

The answer is -10 ÷ (-2/5)

The required expression will be -10 ÷ (-2/5).

Numbers, symbols and operators grouped together that show the value of something.

Given are the numbers -10, -5/2,-2/5, or 5

Using the numbers,

-10 ÷ (-2/5).

Hence,  -10 ÷ (-2/5) will be the expression.

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Lets draw a rectangle:

we can see that horizontal lines are parallel, they both are congruent and measure b units. We can also note that vertical lines are parallel and measure a units. Lines "a" and "b" are perpendicular each other:

since each interior angle measure 90 degrees.

In summary, we can draw the following picture

Answer

A(-10, 9), A'(-4, 9)

B(-4, 2), B'(-10, 2)

C(-7, 9), C'(-7, -4)

Example 3:

A(-3, 5), A'(3, 5)

B(-3, 0), B'(3, 0)

C(-3, 5), C'(-3, -10)

Explanation:

The geometric mean of two positive numbers a and b is √ab. The ratio a:√ab is equal to the ratio √ab:b.

b

Answer:

a una vez a respuesta

Step-by-step explanation:

cuando decimal a compra el gallos para cual es suma cuanto vez =150.49875

to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.

\(\stackrel{\textit{\LARGE line of reflection}}{(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2})} \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-1)}}} \implies \cfrac{-2 +4}{1 +1} \implies \cfrac{ 2 }{ 2 } \implies \text{\LARGE 1}\)

now, keeping in mind that perpendicular lines have negative reciprocal slopes, there are three dotted lines, each one of them, hits the line of reflection perpendicularly, so their slope must be

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{1\implies \cfrac{\boxed{1}}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{\boxed{1}}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{\boxed{1}}\implies \text{\LARGE -1}}}\)

Answer:

  5/10

Step-by-step explanation:

An equivalent fraction will have the numerator and denominator multiplied by the same value.

The denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...

  \(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)

The value of the denominator in the expression is 0.205.

The value of the denominator in the expression is calculated as follows;

The given expression is;

x = 0 + √1.16 / ?

when x = 5.252, the value of the Uknown is calculated as follows;

5.252 = 0 + √1.16 / ?

5.252 = √1.16 / ?

make the unknown "?" the subject of the formula;

? = √1.16 /5.252

? = 0.205

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Answer: 10

Step-by-step explanation:

using ratio;

\(\frac{4}{x} =\frac{2}{5}\)

\(\frac{4}{2} = \frac{x}{5}\)

2 × 5 = x

x = 10

please give me a brainliest answer

The odd outcome (1, 3 and 5) probability is 2/9, and the even outcome (2, 4 and 6) probability is 1/9. The expected value is given by:

Answer: Option A

To find the unit rate (amount per hour) you divide the given amount into the given number of hours:

Then, the unit rate is $16.15/hour

In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.

Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.

Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.

Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.

Alternate interior angles are congruent, as well as alternate exterior angles.

By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.

It is important to measure angles systematically and compare them to find congruent or equal measures.

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Answer:

im not smart

Step-by-step explanation:

Using area formula,

a. Area of the trapezium = 47.5m².

b. Area of parallelogram = 54inches².

The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.

a. Sides of the trapezium are, a = 5m and b = 14m.

Height, h = 5m.

Area of the trapezium = (a+b)/2 × h

= (5 + 14)/2 × 5

= (19× 5)/2

= 95/2

= 47.5m².

b. Height of parallelogram = 6inches.

Base of parallelogram = 9inches.

Area = b × h

= 6 × 9

= 54inches².

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Answer:

you would do 3,172 divided 27 which would be 117 then subtract that by 3,172

Step-by-step explanation:

Answer: 12 x 7 = 72

Step-by-step explanation:

Answer:

Square root of 193

Step-by-step explanation:

7^2+12^2=x^2

Switch sides: x^2=7^2+12^2

After everything is squared: x^2=49+144

x^2=193 OR x=\sqrt{193}

Answer:

Option D.   \(g(x)=5(0.8)^{x}+2\)

Step-by-step explanation:

Main concepts

Concept 1: identifying horizontal asymptote

Concept 2: assuring decreasing exponential function

Concept 1. identifying horizontal asymptote

Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis.  A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number.  Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units.  Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.

Concept 2. assuring decreasing exponential function

Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".

Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.

To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.

Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.

The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.

To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.

The equation is:

X^2/2 - 8 = 2X - 2

To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:

X^2 - 16 = 4X - 4

Next, we rearrange the equation to have all terms on one side:

X^2 - 4X - 12 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:

(X - 6)(X + 2) = 0

Setting each factor equal to zero gives us two possible solutions:

X - 6 = 0 --> X = 6

X + 2 = 0 --> X = -2

So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.

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Answer:

yes

Step-by-step explanation:

9 is the greatest number of plants in one row.

The HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.

To find the greatest number of plants she can put in one row  , need to find

HCF of 45 , 81 and 63

45 = 3× 3 × 5 = 3² ×5¹

63 = 3 ×3 × 7  = 3² × 7¹

HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.

HCF = product of common factors of least power

HCF = 3² = 9

Hence greatest number of plants she can put in one row  is 9

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The value of x using trigonometric functions will be 5.66.

What are trigonometric functions?

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.

The angles of sine, cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant and cosecant can be derived from the primary functions

Now,

In given triangle, 3rd angle will be 54 degree.

                                         (Sum of all angle in triangle=180degree)

Therefore

               sin 54=P/H  (P=Perpendicular, H=Hypotenuse)

                0.809=x/7

               x=7*0.809

              x=5.66

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41/2 days is equivalent tο 492 hοurs.

Divisiοn is an arithmetic οperatiοn that invοlves splitting a quantity intο equal parts οr determining hοw many times οne quantity is cοntained within anοther. It is cοmmοnly denοted by the symbοl ÷ οr /, and can be written as a fractiοn οr as a ratiο.

We knοw that there are 24 hοurs in day therefοre,

Tο cοnvert 41/2 days tο hοurs, we can use the fact that there are 24 hοurs in οne day:

41/2 days x 24 hοurs/day = 41 x 12 = 492 hοurs

Therefοre, 41/2 days is equal tο 492 hοurs.

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Answer:

4250 m

Step-by-step explanation:

1 day = 850

5 days = 850×5

= 4250

The solution to the inequality is -3 ≤ x ≤ -1/3

Given the inequality:

4|3x+5| ≤ 16

Let us simplify it by dividing both sides by 4 to get:

|3x+5| ≤ 4

Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:

First: 3x+5 ≥ 0

In this case, the inequality simplifies to:

3x+5 ≤ 4

Subtracting 5 from both sides, we get:

3x ≤ -1

Dividing by 3 (which is positive) gives:

x ≤ -1/3

Second: 3x+5 < 0

In this case, the inequality simplifies to:

-3x-5 ≤ 4

Adding 5 to both sides, we get:

-3x ≤ 9

Dividing by -3 (which is negative and requires us to flip the inequality), gives:

x ≥ -3

Therefore, the solution to the inequality is:

-3 ≤ x ≤ -1/3

The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.

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Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88