A rental car agency charges $230.00 per week plus $0.15 per mile to rent a car. How many miles can you travel in one week for $338.00?

Answer:

Yes, if you keep all of this in mind... This all came from my lesson during class btw.

Step-by-step explanation:

Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit. Many people use linear equations every day, even if they do the calculations in their head without drawing a line graph. When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Answer:

c = 64

Step-by-step explanation:

Given

x² - 16x + c

To complete the square

add ( half the coefficient of the x- term )² to x² - 16x

x² + 2(- 8)x + 64

= (x - 8)²

Thus

x² - 16x + 64 = (x - 8)² ← a perfect square

with c = 64

Answer:

B. (2, 3)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define system

y = x + 1

y = -1/2x + 4

Step 2: Identify Solution

The solution to the systems of equations when graphed will be where the 2 lines intersect. According to the graph, the 2 lines intersect at (2, 3).

Answer:

8

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle

7x - 4 + 9x + 4 = 128° add like terms

16x = 128 divide both sides by 16

x = 8

Answer:

0

Step-by-step explanation:

The expression we are given is (2 * x - 4).

We need to find the value of expression when x = 2.

Let's substitute 2 in as x.

Now our expression is (2 * 2 - 4).

First, let's multiply our 2 with our substituted 2.

1.  2 * 2 = 4

We're left with (4 - 4).

Finally, let's evaluate this expression.

2.  (4 - 4) = 0.

Our answer is 0.

So (2 * x - 4) when x = 2 is 0.

Feel free to give brainliest.

Have a great day!

Answer:

The equation of the line with slope = 4 and point (-5, -13)

will be:

Step-by-step explanation:

Given

As the point-slope form of the equation of line is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope.

substituting the values m = 4 and the point (-5, -13)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-13\right)=4\left(x-\left(-5\right)\right)[/tex]

[tex]y+13=4\left(x+5\right)[/tex]

subtract 13 from both sides

[tex]y+13-13=4\left(x+5\right)-13[/tex]

[tex]y=4x+7[/tex]

Therefore, the equation of the line with slope = 4 and point (-5, -13)

will be:

[tex]y=4x+7[/tex]

Answer: what

Step-by-step explanation:

Answer:

They are axis so it would be 6 for x and 15 for y

Step-by-step explanation:

Answer: (0, -2)

Step-by-step explanation:

Answer:

a yard stick, maybe I'm right

Answer:

a fence

Step-by-step explanation:

HAHAHA LOL

Step-by-step explanation:

what is the numbers to choose from

Given:

Cost to rent a raft = $7 per person

Number of people a raft can hold = 6

Lunch cost = $3 per raft

To find:

The total cost for a group of 6.

Solution:

A raft can hold 6 people. So, one raft is required for group of 6.

Lunch cost = $3

Cost to rent a raft for one person = $7

Cost to rent a raft for 6 person = 6 × $7 = $42

Now,

Total cost = Lunch cost + Cost to rent a raft for 6 person

                = $3 + $42

                = $45

Therefore, the total cost for a group of 6 is $45.

Answer:

t(n+1) = t(n) +9

Step-by-step explanation:

Let the Term position be represented by n.

and term value is represented by t.

so term value at any position can be represented by t(n).

Here look closely

t(1)=3, t(2)=12, t(3)=21, t(4)=30

By examining, we notice that the next term is 9 more than the previous one.

e.g

t(2)= t(1)+9

       3+9

t(2)=12

t(3) = t(2)+9

t(3) = 21

we can represent them in mathematical form as:

t(n+1) = t(n) +9

Answer:

4

Step-by-step explanation:

By Using the Transformations of the parabola

[tex]y = -(x+5)^2+7\\y=4x^{2} +7\\y = -(x-2)^2+3[/tex]

[tex]y = x^2+ k[/tex]

[tex]y = (x - h)^2[/tex]

Reflection in x-axis  

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

Reflection in y-axis

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

stretches away from the x-axis or compresses toward the x-axis

[tex]y = a .x^2[/tex]

| a | > 1 is a stretch;

0 < | a | <1 is a compression

stretches away from the y-axis or compresses toward the y-axis

[tex]y=\frac{1}{a} x^{2}[/tex]

| a | > 1 is a compression by factor of 1/a;

0 < | a | <1 is a stretch by factor of 1/a

Now, we have [tex]y=x^2[/tex]

4). Reflect over x-axis, shift to the left 5 units, shift up 7 units

[tex]y = -(x+5)^2+7[/tex]

5) Vertical stretch by a factor of 4, shift down 11 units

[tex]y=4 x^{2} +7[/tex]

6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.

[tex]y=-(x-2)^{2} +3[/tex]

Learn more:https://brainly.com/question/20369546

Answer:

13n + 20  

Step-by-step explanation:

the shipping rate never changes but the cost of books does depend on how many books you buy.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

I don't get it

Step-by-step explanation:

but okay!!!!?!!?!?!?

Answer: Angle MNO

Step-by-step explanation: Supplementary angles equal 180, or a straight line.

Answer: 14

MNJ is angle 13 so angle 14 is the other angle that makes a straight line or 180°.

Answer:

The answer should be A

Step-by-step explanation:

Because 1/5k - 2/3j would be -2/3 j with 1/5 k missing which would mean it's the same as if you added it on instead of removing it

Answer:

A

Step-by-step explanation:

Trust me, i promise its correct

Answer: 1/2

Step-by-step explanation:

1) Put the equation into y=kx form

- add 4x to both sides

- divide by 8 on both sides to get y=1/2x

2) k is the constant of proportionality

Answer:

Marcel reads 20 pages every 2 days.

Then, in one day, she reads:

20/2 = 10 pages per day.

Now, we know that in one day she reads 10 pages, then we can subdivide the number 350 in N groups of 10 pages, each one of these N groups needs one day to be read, then 350 pages will be read in N days:

N = 350/10 = 35 days.

Xion reads 8 pages per day.

Then to read 350 pages, he neds:

N = 350/8 = 43.75 days

Amber reads 56 pages in 7 days.

Then she reads 56/7 = 8 pages per day (Same as Xion)

Then she also needs 43.75 days to read 350 pages.

Francessca reads 55 pages in 5 days.

Then she reads 55/5 = 11 pages per day.

To read 350 pages, she needs:

350/11 = 31.82 days

Then the one that needs less days to read 350 pages is Francessca.

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions[1][2]) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others. They are among the simplest periodic functions, and as such are also widely used for studying periodic phenomena, through Fourier analysis.

Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their side lengths are proportional. Proportionality constants are written within the image: sin θ, cos θ, tan θ, where θ is the common measure of five acute angles.

The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent. Their reciprocals are respectively the cosecant, the secant, and the cotangent, which are less used. Each of these six trigonometric functions has a corresponding inverse function (called inverse trigonometric function), and an equivalent in the hyperbolic functions as well.[3]

The oldest definitions of trigonometric functions, related to right-angle triangles, define them only for acute angles. To extending these definitions to functions whose domain is the whole projectively extended real line, geometrical definitions using the standard unit circle (i.e., a circle with radius 1 unit) is often used. Modern definitions express trigonometric functions as infinite series or as solutions of differential equations. This allows extending the domain of sine and cosine functions to the whole complex plane, and the domain of the other trigonometric functions to the complex plane (from which some isolated points are removed).

Contents

Right-angled triangle definitions Edit

A right triangle always includes a 90° (π/2 radians) angle, here labeled C. Angles A and B may vary. Trigonometric functions specify the relationships among side lengths and interior angles of a right triangle.

Plot of the six trigonometric functions, the unit circle, and a line for the angle θ = 0.7 radians. The points labelled 1, Sec(θ), Csc(θ) represent the length of the line segment from the origin to that point. Sin(θ), Tan(θ), and 1 are the heights to the line starting from the x-axis, while Cos(θ), 1, and Cot(θ) are lengths along the x-axis starting from the origin.

In this section, the same upper-case letter denotes a vertex of a triangle and the measure of the corresponding angle; the same lower case letter denotes an edge of the triangle and its length.

Given an acute angle A = θ of a right-angled triangle, the hypotenuse h is the side that connects the two acute angles. The side b adjacent to θ is the side of the triangle that connects θ to the right angle. The third side a is said to be opposite to θ.

If the angle θ is given, then all sides of the right-angled triangle are well-defined up to a scaling factor. This means that the ratio of any two side lengths depends only on θ. Thus these six ratios define six functions of θ, which are the trigonometric functions. More precisely, the six trigonometric functions are:[4][5]

sine

{\

Answer:

THE CORRECT ANSER OF THIS QUESTION IS 5.

Step-by-step explanation:

Here,

a23=6

a12=5

a32=6

Now,

a23+a12-a32

=6+5-6

=5

Answer:

5

Step-by-step explanation:

8/1.6 = 5 divide the two and get the answer!

Brainliest please!

Answer:

5 miles

Step-by-step explanation:

divide 8 by 1.6

Answer:

[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]

[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]

We are given the expression:

[tex]2^m=n[/tex]

We need to express the following expression in terms of n.

[tex]8^m-4^{-m}[/tex]

It's necessary to modify the expression to use the given equivalence.

Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:

[tex](2^3)^m-(2^2)^{-m}[/tex]

Applying the property:

[tex](2^m)^3-(2^m)^{-2}[/tex]

Substituting the given expression:

[tex]n^3-n^{-2}[/tex]

Or, equivalently:

[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]

Answer:

64000

Step-by-step explanation:

sorry if wrong

Answer:

64000

Step-by-step explanation:

Answer: So the trick I was taught to use was PEMDAS which stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. You solve the parenthesis first, followed by exponents if there are any. Multiplication and division are equal. So if there's multiplication and division in the problem, you solve the one closest to the left or start of the equation first. The same rules apply for addition and subtraction. They are both equal so you solve the first one first, even if the subtraction is before the addition.

Step-by-step explanation: