suppose F varies inversely with G and that f equals 40 when g equals 5 what is the value of f when g equals 10

Answer:

The answer is 0.3

Step-by-step explanation:

Based on the graph, the coordinates of the vertex are at (0, -1), and since the parabola opens upwards, the vertex is a minimum.

Therefore, the correct answer is A:

(0,-1) ; minimum

The image shows a parabola opening upwards on a coordinate plane. The vertex of a parabola is the highest or lowest point on the graph, depending on whether the parabola opens downward or upward, respectively.

Here's a detailed explanation for identifying the vertex and determining if it is a maximum or minimum:

Step 1: Identify the Vertex

The vertex of a parabola in the form [tex]\(y = ax^2 + bx + c\)[/tex] can be found using the vertex formula [tex]\(x = -\frac{b}{2a}\)[/tex] for the x-coordinate and then substituting that back into the equation for y to find the y-coordinate. However, in this case, we can directly observe the vertex from the graph. It's the point where the parabola changes direction.

Step 2: Read the Coordinates from the Graph

From the graph, we can see that the vertex is at the origin of the parabola's turning point. It appears to be at (0, -1) by looking at where the axis of symmetry of the parabola intersects the y-axis.

Step 3: Determine Maximum or Minimum

Since the parabola opens upwards, as indicated by the shape of the graph, the vertex represents the minimum point of the parabola. If the parabola were to open downwards, the vertex would represent the maximum point.

Answer is provided in the image attached.

y+2=1(x=2) you have to use the formula y-y1=m(x-x1) hope this helps :)

The equation of a line passing through points (-2, -2) and (2, 2) is y = x.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, a line that passes through the points (-2, -2) and (2, 2).

So, the slope of the line is (y₂ - y₁)/(x₂ - x₁).

= (2 + 2)/(2 + 2).

= 4/4.

= 1.

Equation of a line in point-slope form is y - y₁ = m(x - x₁).

y + 2 = 1.(x + 2).

y + 2 = x + 2.

y = x.

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The value of x is 29.

The measure of angle C is 93.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The sum of the angles = 180

So,

From the triangle,

3(x + 2) + 35 + 52 = 180

3x + 6 + 35 + 52 = 180

3x  + 93 = 180

3x = 180 - 93

3x = 87

x = 29

Now,

∠C = 3 (x + 2)

= 3 (29 + 2)

= 3 x 31

= 93

Thus,

The value of x is 29.

The measure of angle C is 93.

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Answer:

Infinitely Many Solutions

Step-by-step explanation:

All they did was DOUBLE the bottom equation and wrote the new equation above it. This is what is considered dependency. Whenever we have infinitely many solutions, we have a dependent system of equations.

I am joyous to assist you anytime.

Answer:

Step-by-step explanation:

Given that Mr. Green teaches band, choir and math.

Total students = 57

Students who learn band A = 25

Students who learn math alone =9

From venn diagram we see that

band alone 11 

choir alone 17 

band and choir alone 4 

band and math alone 7 

math and choir alone 6 

band choir and math 3 

math alone 9 from 11+4+10+6+17 + M = 57 

so 

2 classes = 4+7+6 = 17

17 students take exactly two classes with Mr. Green

Answer:

The Correct Would Be OPTION : D

Step-by-step explanation:

The percent paid after a 30% discount is 70% of the regular price. The equation to find the regular price is 0.70 * P = $315. Solving this gives us the regular price of the electric guitar, which is $450.

If a sign says that the price marked on all music equipment is at a discount for 30% off, and you buy an electric guitar for $315, we need to figure out the percent you actually pay and the regular price of the guitar.

Since the discount is 30%, you pay 100% - 30% = 70% of the regular price.

Let's call the regular price 'P'. The equation to find the regular price of the item after a 30% discount is:

0.70 * P = $315

To find the regular price 'P', we divide both sides of the equation by 0.70:

P = $315 / 0.70

P = $450

The regular price of the electric guitar before the discount was $450.

Given is the shape of a triangle with base = 7 feet and height = 4 feet.

We know the formula for area of triangle is given as follows :-

[tex] Area\; of\; Triangle=\frac{1}{2} *(Base)*(Height) \\\\
Area = \frac{1}{2} (7)(4) \\\\
Area = \frac{28}{2} \\\\
Area = 14 \;squared \;feet [/tex]

So, the area of a blade is 14 squared feet.

There are four blades on wind mill. Then area of all four blades would be 4 times 14.

Hence, total area of all four blades = 4 x 14 = 56 squared feet.

The total area of the four windmill blades, each with a base of 7 feet and a height of 4 feet, is 56 square feet.

The question involves calculating the total area of windmill blades, each shaped as a triangle. To find the area of a single blade, we use the formula for the area of a triangle, which is (base x height) / 2. For a blade with a base of 7 feet and a height of 4 feet, the area of one blade is:

Area = (7 ft x 4 ft) / 2 = 28 ft² / 2 = 14 ft²

Since there are four blades on the windmill, the total area of the blades can be calculated by multiplying the area of one blade by the number of blades:

Total area = 14 ft2 x 4 = 56 ft²

(0,1) (2,-2) (4,-5) are the answers

To find Paul and Luis's ages, the ratio 2:3 is translated to 2x and 3x, and with the sum of their ages being 35 years, we solve the equation to find x = 7. Therefore, Paul is 14 years old and Luis is 21 years old.

The question involves finding the ages of Paul and Luis given that the ratio of their ages is 2:3 and the sum of their ages is 35 years. To solve this, let's denote Paul's age as 2x and Luis's age as 3x, where x is a common multiplier. The equation based on the sum of their ages will then be:

2x + 3x = 35

Solving this equation, we combine like terms:

5x = 35

Now, divide both sides by 5 to find the value of x:

x = 35 / 5

x = 7

So, Paul's age is 2x which is 2 * 7 = 14 years, and Luis's age is 3x which is 3 * 7 = 21 years.

Final answer:

The edge length of a cube with a volume of 1/27 cubic units is 1/3 unit, as it's the cube root of the volume.

Explanation:

To find the edge length of a cube when the volume is 1/27:

Volume is equal to edge length to the third power.

Convert meters into centimeters.

Calculate the density by dividing mass by volume.

The question is to find the edge length of the cube if the volume is 1/27 cubic units. To find the edge length, we need to take the cube root of the volume, because the volume of a cube is equal to the cube of one of its edges (V = L3, where V is the volume and L is the edge length). Since the volume is 1/27, the edge length would be the cube root of 1/27, which is 1/3. Therefore, the edge length of the cube is 1/3 unit.

The required answer would be 8.368 which is 0.8 percent of 1,046.

The percentage is defined as a ratio expressed as a fraction of 100.

For instance, If Mishali obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.

We have to determine the evaluation of 0.8% of 1,046.

⇒ 0.8% of 1,046

0.8%  is expressed as 0.8/100 in fractional form

⇒ (0.8/100)(1,046)

0.8/100  is expressed as 0.008 in decimal form

⇒ (0.008 )(1,046)

Apply the multiplication operation, and we get

⇒ 8.368

Therefore, 0.8% of 1,046 would be 8.368.

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