Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. f(x) = 5x3 + 2x2 + 7x – 3 What possible changes can Martha make to correct her homework assignment? Select two options.

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

Answer:

15 single-crust apple pies were sold and 21 double-crust cherry pies were sold.

Step-by-step explanation:

Let a be the number of single-crust apple pies sold

Let c be the number of double-crust cherry pies sold

The angle x in the circle is 74 degrees.

The central angle is formed at the centre of a circle due to the intersection of any two radii within the circle.

The central angle of an arc is the central angle subtended by the arc.

The measure of an arc is the measure of its central angle.

Therefore,

x = 74 degrees

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Answer:

\(A=135.37\ \text{inch}^2\)

Step-by-step explanation:

Given that,

Radius of circle, r = 19 inch

Angle with sector, \(\theta=135^{\circ}\)

We need to find the area of the sector.

The formula is given by :

\(A=\dfrac{\theta}{360}\times \pi r^2\\\\A=\dfrac{135}{360}\times \pi (19)^2\\\\A=135.37\ \text{inch}^2\)

So, the area of the sector is \(135.37\ \text{inch}^2\).

Answer:

Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal. The shortcut way to convert from a percentage to a decimal is by removing the percent sign and moving the decimal point 2 places to the left.

Step-by-step explanation:

5.25% = .0525

Kono Dio Da

Answer:

Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.

Step-by-step explanation:

Answer:

Decimal Form: 1.3

Exact Form: 13/10

Mixed Number Form: 1 3/10

Step-by-step explanation:

1 pint = 2 cups

Convert the mixed fraction into an improper fraction. 2 3/5 = 13/5 cups

You divide 13/5 by 2, since there are 2 cups in one pint, and you are trying to get pints. 13/5 divided by 2:

Decimal Form: 1.3

Exact Form: 13/10

Mixed Number Form: 1 3/10

Answer:

see below

Step-by-step explanation:  6  23  17  30

the length CD is  the square root of the delta X value squared + the delta Y value squared

a² + b² = c²   is the common form for this problem use

ΔX² + ΔY² = CD²

ΔX = X2 - X1        ΔY = Y2 - Y1

ΔX = 2 - (-2)        ΔY = 5 - (-5)

ΔX = 4                ΔY = 10

4² + 10² = CD²

16 + 100 = CD²

116  = CD²

√116  =  √CD²  = CD

√(4 × 29)  = CD

2√29  = CD    the first option

A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.

In light of the conditions stated, come up with: \($\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$\) To improper fractions, change the mixed numbers to: \($\frac{\frac{35}{4}}{\frac{15}{7}}$\) Multiply the reciprocal of a fraction to get its division: \($\frac{35}{4} \times \frac{7}{15}$\)

Mark this common element as a no-go: Multiplying \($\frac{7}{4} \times \frac{7}{3}$\) Mark the common element as absent: Multiplying \($\frac{7 \times 7}{4 \times 3}$\) . Put the following in one fraction : \($\frac{49}{12}$\) . The product or quotient should be

calculated.Find the biggest number that is greater than \($\frac{49}{12}$\) and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.

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We have demonstrated that x² ≥ x for all integers x. Therefore, the statement x² ≥ x for all x ∈ Z is true.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

To prove that x² ≥ x for all x ∈ Z, we need to show that the inequality holds true for any arbitrary integer value of x.

We can prove this by considering two cases:

Case 1: x ≥ 0

If x ≥ 0, then x² ≥ 0 and x ≥ 0. Therefore, x² ≥ x.

Case 2: x < 0

If x < 0, then x² ≥ 0 and x < 0. Therefore, x² > x.

In either case, we have shown that x² ≥ x for all integers x. Therefore, the statement x² ≥ x for all x ∈ Z is true.

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Answer:

3/7

Step-by-step explanation:

Answer:

3/7

Step-by-step explanation:

3/7

The volume of the given cube is 8,000 cubic units if the surface area is 2,400.

Let's first find the length of one side of the cube using the given surface area.

The surface area of a cube is given by the formula 6s², where s is the length of one side of the cube.

We are given that the surface area of the cube is 2,400. Therefore, we can set up the following equation:

6s² = 2,400

Dividing both sides by 6, we get:

s² = 400

let's see the square root of both sides, we get:

s = 20

So, the length of one side of the cube is 20.

Now, we can find the volume of the cube using the formula V = s³:

V = 20³ = 8,000

Then, the volume of the cube is 8,000 cubic units.

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Answer:

(f+g)(2) = 5

Step-by-step explanation:

(f+g)(2) means

f(2) + g(2)

Add the functions and substitute in 2 for the x.

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

Simplify.

4 - 1 + 6 - 4

3 + 6 - 4

9 - 4

5

Answer:

A = L + B = a2 + a√(a2 + 4h2))

Step-by-step explanation:

Answer:

1. x = 120°

2. x = 115°

Step-by-step explanation:

For the first question, you can see that the two lines are parallel. This means you can use any of the alternate interior angles, alternate exterior angles, corresponding angles, consecutive interior angles, and consecutive exterior angles.

You can see that the transversal cutting the two parallel lines make a 40° angle, and through alternate interior angles, the angle next to x is also 40°.

Because a straight line is 180°, the three angles that make up the straight line will add up to 180°. So:

x + 20° + 40° = 180°

x + 60° = 180°

x = 120°

For the second question, extend the line (the left one marked with 1 arrow) to make a smaller triangle attached to the parallelogram.

Because this is a parallelogram, opposite angles are congruent. So the opposite angle of x is also x.

Straight lines are 180°, so 180 - x will be what the angle measure is. If this is too confusing, refer to the image below.

Those two angles, 50° and (180 - x)°, will add up to be the exterior angle, which is also x.

So:

50 + 180 - x = x

230 = 2x

115 = x

x = 115

Answer:

15

Step-by-step explanation:

Using the formula for the area of a triangle, we get that:

\(A=\frac{1}{2}(3)(10)=15\)

Answer:

C = $33,057.92

The cost of the pillar is $33,057.92

Step-by-step explanation:

Given;

Radius of the concrete r = 4 m

Height h = 7 m

Cost per volume R = $94 per cubic meter

π = 3.14

The volume of the cylinder shape concrete is;

V = πr^2 h

Substituting the given values;

V = 3.14×4^2 × 7

V = 351.68 m^3

The cost of the pillar is C;

C = Volume × cost per volume

C = V × R

C = 351.68 m^3 × $94 per cubic meter

C = $33,057.92

The cost of the pillar is $33,057.92

Answer:

1. 0=0

2. 0=17

Step-by-step explanation:

Answer:

A) 18

B)9

C)-2

Step-by-step explanation:

Replace the a,b or c with the give number. So let’s say it’s says 2 + a. It would be 2+3.

Therefore, the coin travels approximately 230.55 meters horizontally with respect to the Earth when it falls 1.9 meters from the moving plane.

When the coin is dropped from the moving plane, it will inherit the horizontal velocity of the plane. The vertical motion of the coin due to gravity will not affect its horizontal motion. Therefore, the horizontal distance traveled by the coin will be the same as the horizontal distance traveled by the plane during the time it takes for the coin to fall 1.9 m.

To find this horizontal distance, we can use the equation of motion:

Distance = Velocity × Time

The time it takes for the coin to fall 1.9 m can be calculated using the equation of motion for vertical motion:

\(h = (1/2)gt^2\)

Where h is the vertical distance, g is the acceleration due to gravity, and t is the time.

Given:

h = 1.9 m

\(g = 9.8 m/s^2\) (approximate value)

Solving for t:

\(1.9 = (1/2)(9.8)t^2\\3.8 = 4.9t^2\\t^2 = 3.8/4.9\)

t ≈ 0.87 seconds (approximate value)

Now, we can calculate the horizontal distance traveled by the plane during this time. Since the horizontal velocity of the plane is 265 m/s, we have:

Distance = Velocity × Time

Distance = 265 m/s × 0.87 s

Distance ≈ 230.55 meters

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The coin travels approximately 164 meters horizontally with respect to the Earth while falling 1.9 meters vertically. This calculation is based on the principle of independence of motions and uses the equation of motion to find the time of fall.

The subject of the question pertains to the concept of projectile motion in physics. Here, we're dealing with a case of horizontal motion, where vertical displacement (the coin falling down) does not affect the horizontal displacement (the coin's travel with the plane).

This is because of the principle of independence of motions, which states that in a projectile motion, horizontal and vertical movements are independent of each other. In other words, the vertical fall of the coin does not impact its horizontal motion, which remains constant at 265 m/s (the speed of the plane).

The time it takes for the coin to fall can be determined using the equation of motion: h = 0.5gt^2, where g is the acceleration due to gravity (9.8 m/s^2) and h is the distance fallen (1.9m). Solving for t, we find that t ≈ 0.62 seconds. The horizontal distance x travelled by the coin would then be v*t. Substituting the given values, we find that x = 265 m/s * 0.62s ≈ 164 meters.

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The value of m = 4 satisfies the equation 9 raised to 2m divided by 9 raised to - 5 is equal to 9 raised to 13​.

Exponents are a type of mathematical notation used to describe repeated multiplication of a single integer. Exponents are sometimes referred to as powers or indexes. The exponent, which denotes how many times the base number should be multiplied by itself, is represented as a superscript to the right of the base number.

From the given statement the algebraic expression is:

\(9^{(2m)} / 9^{(-5)} = 9^{13}\)

Using the rule of exponents:

\(9^{(2m + 5)} = 9^{13}\)

2m + 5 = 13

2m = 8

m = 4

Hence, m = 4 is the value that satisfies the equation 9 raised to 2m divided by 9 raised to - 5 is equal to 9 raised to 13​.

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n - 2.5 represent the Cost Price after a discount of 2.50

Given parameters,

Modeling of the total cost = 35 + 3(n - 2.5)

The general format of models like this is as follows;

Price + quantity (cost after coupon)

Coupon literally is a code that are used to obtain a discount on the current purchase

By comparison;

Price = 35 (i.e. current dress price).

Quantity = n (i.e. the number of shirts bought)

Lastly, cost after coupon = n - 2.5

It is stated that she applies a coupon on each T shirt

This can be interpreted to: removing a total discount of $2.50 from the three t-shirt.

By removing, the expression is given as negative $2.5

Hence,

n - 2.5 represent the total cost on each T shirt after coupon is applied

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True. Recursion is often necessary to solve certain types of problems that exhibit a recursive structure or require repeated subproblem solving.

Recursion is a programming technique where a function calls itself in its own definition. It allows for the decomposition of complex problems into smaller, more manageable subproblems that can be solved recursively. Recursion is particularly useful when problems exhibit a recursive structure, such as tree traversal, backtracking, or divide-and-conquer algorithms.

For example, problems like computing the factorial of a number, calculating Fibonacci numbers, or traversing a binary tree can be elegantly and efficiently solved using recursion. These problems can be broken down into smaller instances of the same problem until a base case is reached, and then the solutions are combined to solve the original problem.

However, it's worth noting that not all problems require recursion for their solution. There are alternative approaches, such as iterative loops or dynamic programming, which can be used depending on the problem's characteristics and requirements.

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Answer:

sas means side angle side

aa means angle angle

asa means angle side angle

sss means side side side

hope it helps you

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Reason: The angle bisector cuts the original angle (70°) in half to get 70/2 = 35.

Option c. 2

Among the given targets, two targets are correctly described:

Regarding chemical pesticide use, the target is to reduce it by 50% by 2050. This aligns with the vision presented in the Green Food System Strategy.

In terms of chemical fertilizers, the target is to reduce the use of chemical fertilizers produced in Japan from fossil fuels by 30% by 2050. This target is also consistent with the strategy's vision.

The remaining two targets are not correctly described:

The target of expanding the organic market and increasing the ratio of organic farming to arable land to 30% (1 million hectares) by 2050 is not mentioned in the given options.

The target of reducing household food loss by half from the FY2000 level by 2030 is also not mentioned in the given options.

Therefore, the correct answer is option c. 2, as two of the targets are accurately described in the provided options.

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Answer:

Not a function but a relation

Step-by-step explanation:

It is not a function because 10 is matched with both 4 and 20.

the total number of candies in the store is 21600

given that there are (108)2 *100 candies in a store.

\(108 \times 2 \times 100 = 21600\)

so, the total number of candies in the store is 21600

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If a scientist has 315 cells in a container and she expects the number of cells to triple in one day then the number of cells the scientist will have after one day is equal to 945.

The number of cells the scientist will have after one day can be figured out using multiplication. Multiplication is one of the four parts of arithmetic. It can be considered as the opposite of division and can be defined as the repeated addition of the same number or groups of equal sizes.

The number of cells the scientist will have after one day can be calculated as follows;

Number of cells = 315

As it is expected to triple, which means that it is expected to increase three times in amount.

Therefore;

3 × number of cells in the container

3 × 315 = 945

Hence, the number of cells the scientist will have after one day is calculated to be 945.

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