A car is driving down from the top of a Colorado mountain. The elevation is 13,500 feet. Every minute of driving, the car's elevation decreases by 150 feet. Let x be the time in minutes that the car has been driving down the mountain , E(x) = -150x+13,500. Evaluate E(5), and explain the meaning of the answer in terms of the car.

Answer:

n = 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3(n+6) +10 = -8 distribute the -3

-3n -18 +10 = -8 combine like terms

-3n -8 = -8 add 8 to each side to get the -3n by itself

-3n = 0 divide each side by -3

n = 0

Answer:

89

Step-by-step explanation:

+-l

Answer: y=4

Step-by-step explanation:

4-5y=-16

(-5y +4)+ (-4)= -16 +(-4)

_5y+4-4=-16-4

-5y=-20

5y/5=20/5

2*2

y=4

Answer:

d is 90, angles on a straight line

e is 147, vertically opp angles

f is 33, any of the above rules.

Answer:

C. An arithmetic sequence with a common difference of 6.

Step-by-step explanation:

A is incorrect because the common difference is not -9 (not constant).

B is incorrect because the common difference is not 3 (not constant).

C is the correct answer because the common difference is 6 (constant).

D is incorrect because this is an arithmetic sequence.

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-9 + 6 = -3

-3 + 6 = 3

3 + 6 = 9

9 + 6 = 15

The common difference is +6 (positive 6).

Hope that helps!

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The progression −9, −3, 3, 9, 15 is an arithmetic sequence with a common difference of 6. The correct option is C.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

Given series is −9, −3, 3, 9, 15.

The common difference is calculated as,

-9 + 6 = -3

-3 + 6 = 3

3 + 6 = 9

9 + 6 = 15

As above it is observed that with the common difference of 6 we found the series,  −9, −3, 3, 9, 15.

Therefore, the progression −9, −3, 3, 9, 15 is an arithmetic sequence with a common difference of 6. The correct option is C.

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Answer:

y = x + 5

Step-by-step explanation:

Find any two points:

(1, 6)

(2, 7)

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

S0:

7 - 6 / 2 - 1

1 / 1

So slope = 1

Equation:

y = mx + b

Plug in the numbers using the x and y of any points:

7 = m * 2 + b

Add m (which is the slope):

7 = 1 * 2 + b

7 = 2 + b

Subtract two from both sides:

5 = b

So our equation is:

y = x + 5

Please let me know if I've done anything wrong!

Answer:

y = x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, 5) ← 2 points on the line

m = [tex]\frac{5-0}{0+5}[/tex] = [tex]\frac{5}{5}[/tex] = 1

The line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = x + 5 ← equation of line

Answer: Plz mark me brainlest

Step-by-step explanation:

You can factor out a 2, so do that first

2(x^2 - 13x + 30) = 0

Now look at x^2 - 13x + 30.  Since you have a positive last term and a negative middle term, then you're looking for something in the form of (x - ?)(x - ?).  We have to find two numbers whose product is 30 and whose sum is 13.  The numbers must be 10 and 3:

2(x-3)(x-10) = 0

Answer:

Step-by-step explanation:

the parallel lines have same slope

slope(m) = 4

Answer:

For question one, your answer is that the daily change in the stock market is 13 points

(You would basically be dividing for both answers)

For question two, the answer is around 6 feet in depth

Step-by-step explanation:

Answer:

1.) 13

2.)either 600 or -600

Step-by-step explanation:

For #1, you would Divide 5 from 65 which equals 13.

For #2, all you practically do is multiply 60 by 10 which equals 600 but since u are going underwater (depth) it would most likely be -600

Hopes This helps :)

Answer:

-2

Step-by-step explanation:

Rearrange:4*x+12-(-2*x)=0

Pull out like factors:6x + 12  =   6 • (x + 2)

Solve:x+2=0

Subtract 2 from both sides of the equation:x = -2

Answer:

x = -2

Step-by-step explanation:

4x + 12 = -2x

4x + 12-12 = -2x - 12

4x = -2x - 12

4x + 2x = -2x - 12 + 2x

6x = -12

x = -2

Answer for

14

=

2

x

^2

+

x

Step-by-step explanation:

Rewrite the equation as  2

x^

2

+

x=

14

.

2

x

^2

+

x

=

14

Move  14  to the left side of the equation by subtracting it from both sides.

2

x

^2

+

x

−

14

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

^2

−

4

(

a

c

)

       2

a

Substitute the values  a

=

2

,  b

=

1

, and  c

=

−

14  into the quadratic formula and solve for  x

.

−

1

±

√

1

2

−

4

⋅

(

2

⋅

−

14

)

        2

⋅

2

Simplify the numerator.

x

=

−

1

±

√

113

    2

⋅

2

Multiply  2  by  2

.

x

=

−

1

±

√

113

      4

The final answer is the combination of both solutions.

x

=

−

1

−

√

113

 -  1

+

√

113  

       4               4

The result can be shown in multiple forms.

Exact Form:

x

=

−

1

−

√

113  

,  −

1

+

√

113

4

      4               4

Decimal Form:

x

=

2.40753645

…  ,  −

2.90753645

…

Answer:

1ST GRAPH

Step-by-step explanation:

1st GRAPH

Because the equation is trying to express:

p is bigger or equal to -1

and in graph no.1 the inequality is at -1 and everything after it could be p. As P is bigger than -1

Answer:

The square root of a positive number greater than 1 is less than the number.  TRUE

The square root of a positive number is always less than half of the number itself.  FALSE

The square root of a positive number less than 1 is less than the number.   FALSE

The square root of a perfect square INTEGER is AN INTEGER; the square root of a perfect square such as one fourth is one half, not a whole number.  THIS QUESTION NEEDED QUALIFICATION OF "number"

The square root of a positive number less than 1 is between 0 and 1. TRUE

Answer: 5 2/15

Step-by-step explanation: hope this helps :) plz mark brainlest if it does :)

Answer: 260

Step-by-step explanation: 39/3 = 13. 13 times 20 = 260.

Answer: C. 7

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

Or you could use desmos scientific calculator

Answer:

y=-3x+9

Step-by-step explanation:

The slope of the line through two points (x1,y1) and (x2,y2) can be found by using the formula below.  Don't forget slope is rise over run: subtract the y-values in the numerator to get the rise and subtract the x-values in the denominator (in the same order!) to get the run. Once you know the slope (m), you're halfway there.  Now all that's left to find is the y-intercept (b).  To find the y-intercept, choose one of the points on the line.  It does not matter which point you choose (just pick the one that looks easiest to you).  Plug in the values for x and y into the equation and solve for b.

Answer:

A = 10%   B = 50%   C=75%

Step-by-step explanation:

A is 1/10 that is 10%

B is 1/2 that is 50%

C is 3/4 that is 75%

Fractions and percentages can be useful together

The correct value of x is 4.

It is required to find the solution.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

The equation is

1 – (2x + 4) = –4x + 5,

we have to find the correct solution of the equation;

According to given question we have,

Step 1: Open the parenthesis we  get,

1 – (2x + 4) = –4x + 5

1-2x-4 = -4x + 5

1-4-2x = -4x +5

-3-2x = -4x + 5

Step 2: Collect like terms we  get,

-2x + 4x = 5 + 3

2x = 8

Step 3: divide both sides by 2 we  get,

2x/2 = 8/2

x = 4

Hence the correct value of x is 4.

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Answer:

[tex]=\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{x^{3+3} }{8x} \\\\\frac{1+3}{8} \\\\\frac{4}{8} \\\\\frac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

Answer:

If two angles are vertical angles, then they are congruent.

Step-by-step explanation:

If two angles are vertical angles, then they are congruent- this  justifies why ∠FBE measures 50°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

Here, given that,

angles ABD and DBC are complementary

Now, we get,

Hence,  If two angles are vertical angles, then they are congruent- this  justifies why ∠FBE measures 50°.

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The area of the floor required to cover using carpet is equal to 24 square yards .

To calculate the area of the room in square yards,

convert the dimensions from feet to yards and then find the product of the length and width.

1 yard (yd) = 3 feet (ft)

Room length in yards

= 18 feet / 3 feet/yd

= 6 yards

Room width in yards

= 12 feet / 3 feet/yd

= 4 yards

Now, find the area of the room in square yards:

Area = Length × Width

Area = 6 yards × 4 yards = 24 square yards

Therefore,  24 square yards of carpet area required to cover the floor of the room.

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Answer:

x=  1/4

Step-by-step explanation:

3/2 (2−6x)+1=3−5x

(3/2) (2)+ (3/2) (−6x)+1=3+−5x

3+−9x+1=3+−5x

(−9x)+(3+1)=−5x+3

−9x+4=−5x+3

−9x+4+5x=−5x+3+5x

−4x+4=3

−4x+4−4=3−4

−4x=−1

YOU SUBTRACT -4 ON BOTH SIDES SO YOU'LL GET X= 1/4

Answer:

x= 1/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3/2(2−6x)+1=3−5x

(3/2)(2)+(3/2)(−6x)+1=3+−5x (Distribute)

3+−9x+1=3+−5x

(−9x)+(3+1)=−5x+3 (Combine Like Terms)

−9x+4=−5x+3

−9x+4=−5x+3

Step 2: Add 5x to both sides.

−9x+4+5x=−5x+5x+3

−4x+4=3

Step 3: Subtract 4 from both sides.

−4x+4−4=3−4

−4x=−1

Step 4: Divide both sides by -4.

−4x/-4 −4/-4=−1/−4

x= 1/4

Answer:

147 gallons per hour

Step-by-step explanation:

Given:

36 3/4 gallons = 15 minutes

Determine the water rate in gallons per hour

1 hour = 60 minutes

60 minutes / 15 minutes = 4

Multiply both a of the proportion by 4

36 3/4 × 4gallons = 15 minutes × 4

147/4 × 4 gallons = 60 minutes

147 gallons = 60 minutes

147 gallons per hour

The correct answer = 147 gallons per hour

Answer:

$519.948

Step-by-step explanation:

Answer:

Option C: Line s

Step-by-step explanation:

Let's refer to plane H as being 2D since we are dealing with lines.

Thus, x-axis would refer to the horizontal axis while y-axis will refer to the vertical axis.

Now, we are told that line q goes through plane H in the center at point X and that Line t is one that comes out from point X.

This means that line q and line t are parallel to each other.

Also, we are told that Lines r and s are parallel and that they're at a right angles to line q.

Since line q and line t are parallel to each other, it means that lines r and s are at right angles to both lines q and t

Thus, it means lines r and s are both perpendicular to lines q and t

Now, we are told that line p goes through r and s.

However, we want to find which line is parallel to line r.

From earlier statement we saw that lines r and s are parallel to each other.

Thus; correct answer is "line s"

Answer:

C

Step-by-step explanation:

Just did quiz on edge

Answer:

D. Y=-3/2x-3

Step-by-step explanation:

(0,-3)

-3=-2/3(0)+b

-3=b

y=-3/2x+3 parallel slope is -3/2

Y=-3/2x-3

Answer:

315 hamburgurs could be a possible answer

Step-by-step explanation:

Split 490 into an even half, then take away 60, thats for chesburguers. Then subtract that from 490 to find the hambugurs.