A rental car company charges $33.73 per day to rent a car and $0.06 for every mile
driven. Elizabeth wants to rent a car, knowing that:
She plans to drive 450 miles.
• She has at most $430 to spend.
•
Which inequality can be used to determine x, the maximum number of days
Elizabeth can afford to rent for while staying within her budget?

Answer:

5x+7

Step-by-step explanation:

Answer:

  (c)  multiplication property of equality

Step-by-step explanation:

Both sides of the equation can be multiplied by the same number without changing the values of any variables. This is the multiplication property of equality.

The system of equations is consistent and dependent and it can be determined by using the properties of the equation.

Given that,

[tex]\rm y=4x-4\\y=-4x+4[/tex]

We have to determine,

The system of equations is consistent and independent, consistent and dependent, or inconsistent.

According to the question,

When a system has at least one solution, it's called consistent. When it has only one solution, it's called independent.

[tex]\rm y=4x-4\\y=-4x+4[/tex]

On adding both the equation,

[tex]\rm y+ y=4x-4+(-4x+4)\\\\2y = 4x-4-4x+4\\\\2y = 0\\\\ y = 0[/tex]

Substitute y = 0 to evaluate the value of x.

[tex]\rm y = 4x-4\\\\(0)= 4x-4\\\\ 4x=4\\\\ x = \dfrac{4}{4}\\\\x = -1[/tex]

The solution of the equation is (1, 0).

Hence, The system of equations is consistent and dependent.

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Answer:

8

Step-by-step explanation:

g(x) = 2x + 2

g(3) = 2*3 + 2             Substitute 3 for x.

g(3) = 6 + 2                 Multiply.

g(3) = 8                       Add.

Answer:

g(3) = 11

Step-by-step explanation:

Substitute x = 3 into g(x) , that is

g(3) = 3² + 2 = 9 + 2 = 11

Answer:

Step-by-step explanation:

y = 4/3x

you can see the line passes through (0,0)

the next point it passes through is (3,4)

(y2-y1)/(x2-x1)

(4 - 0)/(3 - 0)

4 / 3

the slope = 4/3

meaning it goes up 4 and right 3 from point to point

Answer:

10. SAS

11. SAS

12. SAS

13. SSS

14. SSS

15.ASA

Step-by-step explanation:

Step-by-step explanation:

x⁴ + 4x³ - 5x² + x - 3 ÷ x² + x - 3 = x² + 3x - 5

- x⁴ + x³ - 3x²

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

0 3x³ - 2x² + x - 3

- 3x³ + 3x² - 9x

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

0 - 5x² + 10x - 3

- - 5x² - 5x + 15

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

0 15x - 18

the result is therefore

x² + 3x - 5 + (15x - 18)/(x² + x - 3)

Answer:

see explanation

Step-by-step explanation:

The triangle segment is a median

A median goes from the vertex to the midpoint of the opposite side.

On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint.

AC = 2 × FC = 2 × 35 = 70

BG = [tex]\frac{2}{3}[/tex] × BF = [tex]\frac{2}{3}[/tex] × 57 = 2 × 19 = 38

GC = 2 × DG = 2 × 14 = 28

AE = AG + GE = 42 + 21 = 63

Answer: Guilty of or involving betrayal or deception.

Step-by-step explanation:

Answer:

A) 15+ (-13) + (-2) = 0

Step-by-step explanation:

we start off with 15 cupcakes in total. Our number of cupcakes decreases when we give 13 to our friends. 15-13=2 so we have 2 cupcakes left. If we then give the remaining 2 cupcakes to our teachers, then we are left with 0 cupcakes.

The way to express this as an equation is 15 - 13 - 2 = 0 , which is equivalent to 15+(-13)+(-2)=0

Answer:

The first option.

Step-by-step explanation:

She originally has 15 cupcakes, if she gives 13 away to her friends and 2 away to her teacher then she would end up with 0, which rules out two options, but the second down would be someone giving her cupcakes, due to the addition symbol, so it's the first option.

Hope this helps and have a good day!:)

Answer:  

O = (1,-1)

N = (1,-2)

M = (3,-2)

L = (3,-1)

Step-by-step explanation:

Answer:

D im pretty sure

Step-by-step explanation:

If each line is 20 x 3 = 60 12 dots 60 + 12 = 72 divided by 3 circles = 24

Using the tables to answer the question, the correct option is D.

Only table B represents a function

A relation/table will represent a function if each value of x is attached to a unique value of y.

That is, no value of x must be mapped to more than one value of y.

By considering the tables represented

Set A = {(-5, 2), (-8, 5), (-5, 8)}

As clearly shown above, when x = -5, y = 2 and 8. This means that there are more than 1 value of y for a single value of x, therefore, table A does not represent a function.

Set B = {(-5, 2), (-8, 5), (-11, 2)}

As shown above, all values of x have different values of y. Therefore, table B represents a function.

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Answer:

B) 6

Step-by-step explanation:

If this is similar triangles:

x:42=6:42

Well you could also just

bigger triangle is isosceles

so x=6

Answer:

C

Step-by-step explanation:

|-12|= 12

this means that it represents a positive number. Each answer represents a positive number other than the town that lies -12 feet below sea level. (sorry if I'm wrong)

The equations and inequality expresses the relationship between the variables.

The correct responses are;

Reasons:

First part;

The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;

The rate of change of the function, m, is therefore;

[tex]\displaystyle m = \frac{2 - 1}{6 - 4} = \frac{1}{2} = 0.5[/tex]

The slope and intercept form of the equation of the function is therefore;

y - 3 = 0.5·(x - 8) = 0.5·x - 4

y = 0.5·x - 4 + 3 = 0.5·x - 1

The rule that represent the function is; y = 0.5·x - 1

Second part;

2·n represent twice the number

The difference between twice the number and 6 = 2·n - 6

At least 35 = ≥ 35

Therefore, the inequality is; 2·n - 6 ≥ 35

Third part;

The given quadratic equation is; a·x² + b·x + c = 0

Therefore;

[tex]\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}[/tex]

Fourth part;

The best correct option is table 4, given that the table is as follows;

[tex]\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right][/tex]

Fifth part;

The y-intercept of the graph is -0.5

The slope is -4 ÷ 8 = -0.5

Therefore, the equation is; y = -0.5·x - 4

The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;

[tex]\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}[/tex]

Sixth part;

The amount Jordan part-time job pays = $75

The amount he has already saved = $55

The cost of the iPhone = $400

Let w represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;

75·w + 55 ≤ 400

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Step-by-step explanation:

similar triangles mean that all angles are the same, and the side lengths of one triangle correlate to the corresponding sides of the other triangle by the same factor.

that means that the sides 2 (ED) and x (CB) have the same relation as the 6+4 (AD) and the 6 (AB) sides.

so,

x/2 = 6/(6+4) = 6/10 = 3/5

x = 2 × 3/5 = 6/5 = 1.2

5. The line that contains the circumcenter in ΔABC is: line k.

6. The line that contains the orthocenter in ΔABC is: line m.

7. The line that contains the centroid in ΔABC is: line l.

8. The line that contains the centroid in ΔABC is: line n.

Circumcenter is the point where all three perpendicular bisectors of the three sides of a triangle meet and they are of equal distance from the three vertices of the triangle.

Orthocenter is the point in a triangle where the three altitudes that are perpendicular to the opposite sides and connect with the vertices of the triangle intersect.

The centroid of a triangle is a the point of intersection where all three medians of a triangle. Medians of a triangle connects the vertices to the midpoints of the opposite sides of a triangle.

The incenter of a triangle is the point in a triangle where all three angle bisectors of the vertices of a triangle.

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Answer:

C   y = 1/5x - 1

Step-by-step explanation:

Slope intercept form: y = mx + b where m = slope and b = y-intercept.

Substitute into the slope intercept form m= 1/5 and b = -1

y = 1/5x - 1

Answer:

7 is the answer.

Pls mark brainliest.

Answer:

y = 3x + 18

Here's how I got that:

- You first assign the points -

     (-9, -9) → x1 = -9, y1 = -9

     (-6, 0) → x2 = -6, y2 = 0

- Now you plug those points into slope formula and solve-

                          [tex]s=\frac{y2-y1}{x2-x1}[/tex]

                                   ↓

                       (0 - (-9))/((-6) - (-9))

                                   ↓

                                  9/3

                                   ↓

                           slope = 3

- Now we plug the numbers we got into intercept formula -

                            b = y1 − s ⋅ x1

                                      ↓

                             -9 - (3) · (-9)

                                      ↓

                           y-intercept = 18

           - Put everything together and you get.. -

                                 y = 3x + 18

~That's all folks~

-Siascon

Answer:

y = 3x + 18

Step-by-step explanation:

Answer:

i believe its 58%

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

65000000/65000=1000

24hrs=1 day

1000/24=125/3

125/3 times 1000= 42

Answer:

42 months

Step-by-step explanation:

Answer:

7 people

Step-by-step explanation:

====================================================

Explanation

x = measure of angle 1

y = measure of angle 2

x = 2y+18, since angle 1 is 18 more than twice that of angle 2

Assuming this is a parallelogram, the adjacent angles are supplementary. So,

x+y = 180

2y+18+y = 180

3y+18 = 180

3y = 180-18

3y = 162

y = 162/3

y = 54

This leads to,

x = 2y+18

x = 2*54+18

x = 108+18

x = 126

Note that x+y = 126+54 = 180

Another useful fact about parallelograms is that the opposite angles are the same measure. So angle 1 = angle 3 = 126 degrees

The measure of angle 3, if The measure of ∠1 is 18 more than twice the measure of ∠2 is 126°

In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).

Given:

The measure of angle 1 = 2 × The measure of the angle 2 + 18

Write an equation for the above statement,

x = 2y + 18

Here, x is a measure of angle 1 and y is the measure of angle 2,

As you can see from the figure it is a parallelogram then,

x + y = 180  (The sum of supplementary angle)

Solve the equation by elimination method,

y = 54, x = 2 × 54 + 18 = 126

The opposite angle of a parallelogram are equal,

Measure of angle 3 = Measure of angle 1 = 126

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Answer:

20%

Step-by-step explanation:

54-45 = 9

9/45 = 0.2

0.2*100 = 20

Production increased 20%