What is the slope of the line shown below? 1/6 -5/-7


​

A.

\(7 \leqslant 3(1) + 4 \\ 7 \leqslant 3 + 4 \\ 7 \leqslant 7\)

B.

\(0 \leqslant 3(0) + 4 \\ 0 \leqslant 0 + 4 \\ 0 \leqslant 4\)

BOTH ARE TRUE

Answer:

  A.  yes

  B.  yes

Step-by-step explanation:

You want a graph of y ≤ 3x +4 and an indication whether (1, 7) and (0, 0) are solutions.

The graph is attached. The boundary line is solid because points on that line are in the solution set. Points in the shaded area are also in the solution set.

This point is on the boundary line. It is a solution.

This point is in the shaded area of the graph. It is a solution.

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A geometric series is one in which there is a constant between two successive numbers in the series.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

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

Suppose the series is given as

2,4,8,16,32,64.........

The common difference is defined as the ratio of the next term to the previous term.

From the above series, the common ratio is calculated as,

Common ratio = 4 / 2

Common ratio = 2

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The transformed equation of  is  y = x³ is y =-1/7(x+8)³

Given that :

The equation of y=x^3 and Vertical compression by a factor of 1/7 ,horizontal shift 8 units to the left, reflection across the x axis

Applying the given transformations, we have:

To have a vertical compression by a factor of 1/7, we need to multiply the function by 1/7. So, we have:

y=1/7x³

We must add 8 to x in order to have a horizontal shift of 8 units to the left. We thus have:

y=1/7(x+8)³

A reflection over the x-axis would be the final step, we need to multiply the function by −1. So, we have:

y= -1/7(x+8)³

Therefore, the transformed equation is y= -1/7(x+8)³

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Given:

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

Shape: half of a parabola

Domain: Non- negative numbers x∈ [0, +∞)

Range:​ Non- negative numbers y∈ [0, +∞)

The equation of Total Charges will be $1.95 + ($2.7 * x)

What is Linear Equation in One Variable?

A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable have the form ax + b = 0 and are solved using simple algebraic techniques.

Solution:

The equation of Total Charges will be

Let, the total distance in miles be x

Then,

Total Charges = $1.95 + ($2.7 * x)

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The equation of the line that passes through the points (1,6) and (2,7) is y = x + 5.

We can use the point-slope version of the equation, which is: to determine the equation of a line passing through two specified points.

y - y₁ = m(x - x₁)

where (x₁, y₁) are the coordinates of one of the points, m is the slope of the line, and (x, y) are the coordinates of any other point on the line.

Use the points (1,6) and (2,7) to find the equation of the line:

Using (x₁, y₁) = (1,6):

y - 6 = m(x - 1)

Now, substitute the coordinates (2,7) into the equation:

7 - 6 = m(2 - 1)

1 = m

So, the slope of the line is m = 1.

Substitute this value into the equation:

y - 6 = 1(x - 1)

y - 6 = x - 1

y = x + 5

Therefore, the equation of the line that passes through the points (1,6) and (2,7) is y = x + 5.

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3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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The complete factorization of the polynomial is:

h(x) = (x - 3)*(x - 1)*(x + 2)

Here we have the polynomial:

g(x)= x³ - 2x² - 5x + 6

And we know that x = 3 is a zero, then (x - 3) is a factor.

So if f(x) = a*x² + b*x + c

We can write:

h(x) = (x - 3)*f(x)

Let's find f(x).

Expanding that:

x³ - 2x² - 5x + 6 = (x - 3)*(a*x² + b*x + c)

x³ - 2x² - 5x + 6 = ax³ + bx² + cx - 3ax² - 3bx - 3c

x³ - 2x² - 5x + 6 = ax³ + (b - 3a)x² + (c - 3b)x - 3c

Comparing like terms, we can see that:

a = 1

b - 3 a = -2

c - 3b = -5

-3c = 6

With the first and last equation we can get:

a = 1

c = 6/-3 = -2

Now with one of these values and the second or third equation we can find the value of b.

b - 3 a = -2

b - 3*1 = -2

b - 3 = -2

b = -2 + 3 = 1

Then:

f(x)  = x² + x - 2

The zeros of this quadratic function are given by:

x = -1±3 / 2

so, we get,

x = (-1 + 3)/2 = 1

x = (-1 - 3)/2 = -2

Then we can factorize this as:

f(x) = (x - 1)*(x + 2)

And then we can write h(x) as:

h(x) = (x - 3)*(x - 1)*(x + 2)

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complete question:

For the polynomial below, 3 is a zero.

g(x)= x³ - 2x² - 5x + 6

Express g (x) as a product of linear factors.

Answer:

56x - 7 =

56x = 7

x = 7/56

x = ⅛

the answer is 1/8

there's no formula but u only have to shift to the other side and change the sign

The characteristics of polynomial graphs' intercepts reveal the multiplicity's characteristics. The function is a potential representation of the graph; f(x) = x²·(x - a) (x - a) , ²·(x - b) (x - b),⁴·(x - c) (x - c).

The alternative provides a function that can represent a graph;

f(x) = x²·(x - a) (x - a)

²·(x - b) (x - b)

⁴·(x - c) (x - c)

Reason:

The graph's description is as follows:

Three points on the graph deviate from the x-axis.

Therefore;

The first equation is satisfied by the graph's even multiplicity at three places, such as x2, (x - a)2, and (x - b)4.

The graph once almost linearly crosses the x-axis.

Therefore;

The first equation's function contains a single zero or component, such as (x - c), so;

The function is a potential representation of the graph;

f(x) = x²·(x - a) (x - a)

²·(x - b) (x - b)

⁴·(x - c) (x - c).

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Answer:

To calculate the tip, we first need to find 24% of the total bill. To do this, we can multiply the bill amount by 24% (expressed as a decimal).

Tip = 0.24 * 73.25

= 17.58

Therefore, the tip should be $17.58 in dollars.

Answer:

The midpoint of FH is (3;1)

Step-by-step explanation:

Answer:

rectangular is 114ft and triangular is 112ft

Step-by-step explanation:

Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT

Since VR = length * width and height

VR = 6*x*3

VR = 18x ft³

Also VT =  Length *width * Height/2

VT = (7 * x * 4)/2

VT = 28x/2

VT = 14xft³

Since VR = 32 + VT

18x = 32+(14x)

collect like terms

18x-14x = 32

4x = 32

divide both sides by 4

4x/4 = 32/4

x = 8

Volume of the rectangular prism = 18x

Volume of the rectangular prism = 18*8

Volume of the rectangular prism = 144ft³

Volume of the right triangular prism = 14x

Volume of the rectangular prism = 14*8

Volume of the rectangular prism = 112ft³

Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

2 = |3x|

−4/5x + 1/25 = 0

3x = 4 − x

Answer

Step-by-step explanation:

This has to be equal to something in order to solve it. I'm going to guess that it is equal to 0

(3x-15)(2x+7) = 0

That means that

3x - 15 = 0

3x = 15

x = 15/3

x = 5

or

2x + 7 = 0

2x = - 7

x = -7/2

x = - 3.5

The only other thing I can think of that this could equal is multiplying the two binomials together.

3x * 2x = 6x^2

3x*7 = 21x

-15*2x = - 30x

-15 * 7 = - 105

6x^2 - 7x - 105

But that does not solve for x.

If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

First step:-

Right triangular prism=1⁵/₆ inches= 11/6 inches

Height of the base=8²/₃ inches = 26/3 inches

Second step:-

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

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Answer:

djekodoxlsksdiosoxx

Answer:

14 grrr pow pow pow zip

Step-by-step explanation:

GPS.....................GPS..............................................................................................

Answer: 0.05221615

Step-by-step explanation:

Calculator

Answer:

Yes

Step-by-step explanation:

To see if (2,0) works as a solution to the systems of equations, we plug in the values of x and y and simplify. If the results are equal, then (2,0) is a solution.

3x + y = 6:

3x - y = 6:

Therefore, the answer is yes, it does work as a solution.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

x+16=4x-5

x-4x=-5-16

-3x=-21

x=7

α=β

x+16=7+16=23? as 4x-5 =x+16, then 4x-5 will be 23°

α+β+23+23=360

2α= 360-23-23

2α=360-46

2α=314

α= 157°

Considering the vertex of the quadratic equation, it is found that the value of b is of b = 3.

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

\((x_v, y_v)\)

In which:

The axis of symmetry is of \(x = x_v\). In this problem, we have that a = 0.25 and x_v = 6, hence:

b/2a = 6.

b/0.5 = 6

b = 6 x 0.5

b = 3.

The value of b is of b = 3.

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The pair of numbers that solves the system is (15.25, 164.5).

The system of equations, in slope-intercept form, for Farmer Elentire and Farmer Hopt are:

y = 6x + 71 (for Farmer Elentire)

y = 10x + 10 (for Farmer Hopt)

To find the pair of numbers that solves the system, we need to find the point where the two lines intersect.

We can do this by setting the equations equal to each other:

6x + 71 = 10x + 10

Solving for x, we get:

4x = 61

x = 15.25

Now that we know x = 15.25, we can plug this value into either equation to find y.

71 + 6x = 10 + 10x

Subtracting 6x and 10 from both sides, we get:

61 = 4x

Dividing both sides by 4, we get:

x = 15.25

Now we can use either of the original equations to find y. Let's use the first equation:

y = 71 + 6x = 71 + 6(15.25) ≈ 164.5

Using the first equation, we get:

y = 6(15.25) + 71

y = 163.5

Therefore,

The pair of numbers that solves the system is (15.25, 163.5), accurate to the nearest tenth.

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The function f(x) = sin⁻¹x, x ≠ π/4 and sinx, x = π/4 is continuous on[-1, π/4) ∪ (π/4, 1]. There is a removable discontinuity at x = π/4

A function is said to be continuous if there are no breaks or jumps in the functions

Conditions for continuity of a function

Now, for the given function f(x) = sin⁻¹x, x ≠ π/4 and sinx, x = π/4

We need to determine the interval of continuity, We proceed as follows.

Since f(x) = sin⁻¹x, x ≠ π/4 , we know that the minimum value of x is - 1 and its maximum value is 1.

So, x must lie in the interval (-1, 1) for x ≠ π/4,

Now, when x = π/4 f(x) = sinx. We know that x = π/4 lies in the interval (-1, 1).

But we know that f(x) = sinx at x = π/4. So, there is a removable discontinuity at x = π/4.

So, from the left, f(x) is continuous on the interval [-1, π/4) and  from the right, f(x) is continuous on the interval (π/4, 1]

So, combining both intervals, we have f(x) is continous on the interval [-1, π/4) ∪ (π/4, 1] and since f(x) = sinx at x = π/4, there is a removable discontinuity at x = π/4

So, the function f(x) is continuous on[-1, π/4) ∪ (π/4, 1]. There is a removable discontinuity at x = π/4

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SOLUTION

From the table, we can see that in 1 hour, the car covered 45 miles and in 2 hours, 90 miles, and in 3 hours 135 miles.

This means that the distance was increased by 45 miles for every additional 1 hour, that is

Hence the first option d = 45h is the answer

Answer:

63

Step-by-step explanation:

plz brainliest :)

do you want an explanation?

Answer:

The Product for this equation is 63.

Step-by-step explanation:

Its 63, when mutiplying two or more numbers the product is the result.

Like 7 x 9 = 63, so 63 would be our product. So the product is the answer of a equation while the equation is being multiplied or more than one number being mutiplied.

Answer:

3 hours

144 bulbs

Step-by-step explanation:

33t + 45 = 36t + 36

Subtract 33t from both sides

45 = 3t + 36

subtract 36 fromboth sides

9 = 3t

divideboth sides by 3

3 = t

3 hours

How many bulbs will that be?

33(3) + 45

99 + 45

144

Answer:

13ft a second it's just a an average it the feet divided by the time by 2

9514 1404 393

Answer:

  0.5

Step-by-step explanation:

The "enclosed area" can be taken to mean different things. Here, we consider it to mean the finite area bounded between the two curves, regardless of which curve is higher value than the other.

The area is bounded on the interval [0, 2]. On half that interval y1 > y2; on the other half, y2 > y1. This means the integral of the area between the curves will be different for one part of the interval than for the other. (The curves are symmetric about the point (1, 0).)

The area on the interval [0, 1] is given by the integral ...

  \(\displaystyle\int_0^1{(y_1-y_2)}\,dx=\int_0^1{((x-1)^3-(x-1))}\,dx\\\\=\int^1_0{(x(x-1)(x -2))}\,dx=\left.(\frac{x^4}{4}-x^3+x^2)\right|^1_0=\boxed{\frac{1}{4}}\)

The area on the interval [1, 2] is the integral of the opposite integrand, but has the same value.

The positive area over the whole interval from 0 to 2 is 1/4+1/4 = 1/2.

If you simply integrate y2-y1 or y1-y2 over that interval, the result is 0.

Answer:

1. 8

2.0.8

3. 1.4