6 + (-2)3 ∙ (-4 + 1).

Answer:

total cost = 50 + 0.15 * x

Step-by-step explanation:

We have a fixed charge and a variable charge, which would be the number of miles you travel with the car. Therefore, the expression that represents this, would be the following:

x = is the number of miles traveled in a given period

total charge = 50 + 0.15 * x

This total charge corresponds to the cost of renting a car in any amount of time (weeks)

First , second and last option are relevant to hyperbola . So , they are correct.

Review each statement to determine if it is true for a hyperbola

It is confirm that the first statement is true because a vertex of a hyperbola is a point on the hyperbola that lies on the transverse axis

It is It is confirm that the second statement is true because the center of a hyperbola is the midpoint of the vertices

It is confirm that the third statement is false because a vertex of a hyperbola is a point on the hyperbola that lies on the transverse axis

It is confirm that the fourth statement is false because the transverse axis of a hyperbola is the line segment that contains the vertices and the foci

It is confirm that the fifth statement is true because the directrices of a hyperbola are two lines parallel to the conjugate axis and located a distance from the center equal to the distance from the center to the foci.

Therefore, the first, second, and last options are correct.

Question :

Equation of the axes: The equation of the axes of a hyperbola is x = h, where h is the x-coordinate of the center of the hyperbola.

Equation of the asymptotes: The equation of the asymptotes of a hyperbola is y = ±(b/a)x, where a and b are the distances from the center to the vertices along the transverse and conjugate axes.

Equation of the conjugate hyperbola: The equation of the conjugate hyperbola can be found by interchanging a and b in the equation of the original hyperbola.

Review each statement to determine if it is true for a hyperbola

1. "A point on a hyperbola that sits on the transverse axis is called a vertex." - True. That's because the vertices of a hyperbola are indeed points on the hyperbola that line up with the transverse axis.

2. "The center of a hyperbola is right in the middle of its vertices." - True. Think of it like finding the midpoint between two ends. That's where the center of the hyperbola sits.

3. "A hyperbola's vertex is exactly where it meets the transverse axis." - false.

4. "The transverse axis of a hyperbola is the line connecting its vertices and foci." - False. The transverse axis actually links the vertices directly, not the vertices and the foci.

5. "The directrices of a hyperbola are two lines that run parallel to its conjugate axis, and they're positioned at a distance from the center to match the distance from the center to the foci." - True. It's like setting up boundaries at a certain distance from the center to guide the shape of the hyperbola.

So, yes, you're right about the first, second, and last statements being true.

incomplete question

Answer:

Answer is x=7

Step-by-step explanation:

[tex]given \: that \: triangle \: stu \: is \: \\ similarto \: triangle \: plm \\ by \: similarity \: theorem \\ \frac{st}{pl} = \frac{tu}{lm} = \frac{su}{pm} \\ \frac{x + 1}{72} = \frac{2x - 3}{99} \\ cancelling \: by \: 9 \: which \: is \: common \\ \frac{x + 1}{8} = \frac{2x - 3}{11} \\ 11(x + 1) = 8(2x - 3) \\ 11x + 11 = 16x - 24 \\ 11 + 24 = 16x - 11x \\ 35 = 5x \\ therefore \: x = 7[/tex]

HAVE A NICE DAY!

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Answer:

1/4

Step-by-step explanation:

Answer:

Milk $3.60

Water $1.80

Chips $0.90.

Step-by-step explanation:

If w = cost of 1 bottle of water, m = cost of 1 gal of milk and c cost of 1 bag of chips we have.

4m + 6w + 5c  = 29.7

Also we have w = 2c and m = 1.8 + w.

From the first equation we have c = w/2.

So substituting for c and m in the initial equation we have:

4(1.8 + w) + 6w + 5(w/2) = 29.7

7.2 + 4w + 6w + 2.5w = 29.7

12.5w = 22.5

w = 1. 80.

So c = w/2 = 1.8/2 = 0.90.

and  m = 1.8 + 1.8 = 3.60.

The cost of bag of chips is $5.58 , bottle of water is $ 11.16 and gallon of milk is $12.96.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

It is given that

4 gallons of milk, 6 bottles of water and 5 snack size bags of chips costs $29.7

Let the price of bag of chips is $x

Then

bottle of water , y costs twice as much as a bag of chips

y = 2x

a gallon of milk , z costs $1.80 more than a bottle of water

z = y +1.8

z = 2x +1.8

The equation that will be formed is

x + 2x + 2x +1.8 = 29.7

5x +1.8 = 29.7

5x = 27.9

x = $5.58

y = $11.16

z = $12.96

Therefore the cost of bag of chips is $5.58 , bottle of water is $ 11.16 and gallon of milk is $12.96.

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Answer:

The expression that represents his total time is given by "t = 7.5/s" where s is his speed against the wind.

Step-by-step explanation:

In order to solve this problem we will assign a variable to Curtis speed on the first leg of the trip, this will be called "s". Since the speed on the first part is "s" and the speed on the second part is 20% higher, then the speed on the second part is "1.2s". Each leg of the course is 9 miles long, therefore the time it took to go each way is given by:

time = distance/speed

First part:

t1 = 9/s

Second part:

t2 = 9/1.2s = 7.5/s

The expression for the whole course is the sum of each, so we have:

t = t1 + t2

t = 9/s + 7.5/s

t = (9 + 7.5)/s = (16.5)/s

-3 (2a - 1) (4a + 3)

Answer:

81

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

subtract 11 from 26 which the opposite operation to get your answer.

Answer:

8 and -8

Step-by-step explanation:

The definition of a square root is 'a number which produces a specified quantity when multiplied by itself.' Though a negative number cannot have a square root or be a perfect square, it can be a square root.

8 is the only positive square root, but every number that has a square root, also has a second one, the negative version.

-8 is also the square root because it can be multiplied by itself to get 64 :D

The real square roots of the integer 64 will have 8 and -8.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Let's say the square root of 64 is x.

x = √64

Square both sides

x² = (√64)² = 64

x² = 64

Now, find two equal number that gives 64 by multiplying.

Consider, 8 and 8 → 8² = 64

Thus, x = 8

Another could be -8 and -8 → (-8)² = 64

Hence "The real square roots of the integer 64 will have 8 and -8".

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Answer:

Additive inverse property

Step-by-step explanation:

-1/3 + 1/3 =0

We are adding opposites to get to zero

a+ -a =0

When a point is reflected across the y-axis, the x-coordinate remains the same, but the sign changes. The distance of the new point from the y-axis is the same as the distance of the original point from the y-axis.

When a point is Reflecting points across the y-axis, the x-coordinate remains the same, but the sign changes.

So, if the original point is (3, 5), the new point will be (-3, 5). The distance of the new point from the y-axis is still 3 units.

This is because the distance between any point and the y-axis is the distance between the x-coordinate of that point and 0 on the number line.

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Answer:

-15/2  (or  -7 1/2)

Step-by-step explanation:

-7.5 is equal to -75/10.

When you simplify it, you get:

-15/2  which simplifies to -7 1/2

Answer:

solution is 7. graphing is: open circle on 7 with the arrow pointing right. -->

Step-by-step explanation:

the answer has to be more than 4, so five or more. Then you add 2 to 5 and get 7. 7-2=5 which is greater than 4.

the volume of the​ sculpture is [tex]Volume = 64.11ft^3[/tex] .

Step-by-step explanation:

Here we have , An artist creates a​ cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet long and has a base with a circumference of 21.980 feet, We need to find the volume of the​ sculpture . Let's find out:

We know that

⇒ [tex]Circumference = 2\pi r[/tex]

According to question ,

⇒ [tex]21.980 = 2\pi r[/tex]

⇒ [tex]\frac{21.980}{2\pi} = r[/tex]

⇒ [tex]r=3.5[/tex]

Now , We know that Volume of cone :

⇒[tex]Volume = \frac{1}{3}\pi r^2h[/tex]

⇒[tex]Volume = \frac{1}{3}(3.14) (3.5)^25[/tex]

⇒[tex]Volume = 64.11ft^3[/tex]

Therefore , the volume of the​ sculpture is [tex]Volume = 64.11ft^3[/tex] .

Answer:

The next term should be 19

Step-by-step explanation:

Each time you add 3, from 10 to 13, and 13 to 16

The next number would be 19 because 16 + 3 = 19

Answer:

Find the infinite geometric sum, if possible: 50 150 + 450 +... -75 25 1000000 Does not exist and

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

tanx=opp/adj

x=tan^-1(72/54)

x=53.130

Each time x goes up by 2, y decreases by 4

This indicates we have a linear function. The slope in this case would be

m = rise/run = (change in y)/(change in x) = -4/2 = -2

The y intercept can be found by following these steps

y = mx+b

0 = -2(5)+b

0 = -10+b

10 = b

b = 10

Therefore, the equation of this line is y = -2x+10. Plug in something like x = 1 and it should lead to y = 8. The same applies for any other column of x,y values.

Answer:

if you subscride to my yotube i will tell you it is ytmonkey do now if you want help

Step-by-step explanation:

Complete Question:

The rectangle below has an area of x^2-6x-7 square meters and a width of x-7 meters. What expression represents the length of the rectangle?

Answer:

Solution:

Given that,

[tex]\text{Area of rectangle} = x^2 - 6x - 7 \\\\Width = x - 7[/tex]

TO FIND: LENGTH = ?

We know that,

[tex]Area\ of\ rectangle = length \times width \\\\Therefore\\\\x^2 - 6x - 7 = length \times x - 7\\\\length = \frac{x^2 - 6x - 7 }{x - 7 }\\\\length = \frac{(x-7)(x + 1)}{x - 7}\\\\\text{cancel out x-7 from numerator and denominator} \\\\length = x + 1[/tex]

Thus expression represents the length of the rectangle is (x + 1) meter

Answer:

4 dollars

Step-by-step explanation:

5 minus 1 equals 4

Answer:

B. y = -3/8x - 4

Step-by-step explanation:

Given equation: 3x - 8y = 12

Find a parallel line that matches one of the equations shown.

First, find the slope by solving for y:

3x - 8y = 12

8y = -3x + 12

y = -3/8x + 12/8

y = -3/8x + 3/2

Slope m = -3/8

Since the slope of a line parallel is the same slope, the only equation that fits the conditions is B because in the form y = mx + b, m = -3/8

Given:

Funnel is in the shape of a cone.

Radius = 4 inches

Height = 10 inches

To find:

a) The volume of the funnel

b) How many quarts of oil are in the funnel.

Solution:

Volume of cone:

[tex]$V=\frac{1}{3}\pi r^2 h[/tex]

[tex]$V=\frac{1}{3}\times 3.14 \times 4^2 \times 10[/tex]

[tex]$V=167.47[/tex] in³

The volume of the funnel is 167.47 in³.

1 qt ≈ 58 in³

To convert cubic inch to quarts divide by 58.

[tex]$167.47in^3=\frac{167.47}{58}[/tex]

               = 2.9 quarts

Therefore 2.9 quarts of oil are in the funnel.

The maximum height that the dolphin reaches is 5 units, which occurs at a horizontal distance of 5 units. The dolphin's total horizontal jump distance is 10 units.

The maximum height the dolphin reaches (the vertex of the parabola) is found by the formula -b/(2a) for the maximum or minimum of a parabola ax^2 + bx + c. In your equation, a = -0.2 and b = 2. Therefore, the horizontal distance, d, at the maximum height is d = -b/(2a) = -2/(-0.4) = 5 units. Substituting d = 5 into the original equation gives h = -0.2*5^2 + 2*5 = 5 units. Thus, the maximum height the dolphin reaches is 5 units.

The dolphin's horizontal distance (the 'd' value when h = 0) specifies the full length of the jump. Solving the equation -0.2*d^2 + 2*d = 0 gives d = 0 (the start of the jump) and d = 10 (the end of the jump). Thus, the dolphin jumped 10 units horizontally.

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The maximum height reached by the dolphin is 5 meters, and it jumps a horizontal distance of 10 meters. This is determined by analyzing the quadratic equation for maximum height and the point where the dolphin returns to the water surface.

To determine the maximum height (h) the dolphin reaches, we need to analyze the given quadratic equation h = -0.2d² + 2d. Because the coefficient of d² is negative, the parabola opens downward, indicating that the vertex of the parabola will give us the maximum height. The vertex of a parabola in the form of h = ad² + bd + c is given by the formula d = -b/(2a). In this case, a = -0.2 and b = 2, so the horizontal distance (d) at the vertex is d = -2/(2 × (-0.2)) = 5 meters. Plugging this back into the equation, we get h = -0.2(5)² + 2(5) = -0.2(25) + 10 = -5 + 10 = 5 meters.

So, the maximum height reached by the dolphin is 5 meters.

The dolphin jumps until it returns to the water surface, which means the height h becomes 0. We solve the quadratic equation 0 = -0.2d² + 2d by factoring out d: 0 = d(-0.2d + 2). This gives us two solutions: d = 0 (the starting point) and -0.2d + 2 = 0 which leads to d = 10.

Therefore, the dolphin jumped a horizontal distance of 10 meters

Answer:

You can prove it by the SAS postulate.

Step-by-step explanation: