Use the quadratic formula to solve 2x2 + 2x - 12?

Answer:

add everything to everything

Step-by-step explanation:

Answer:

x= -14

Step-by-step explanation:

Answer:

128 <33

Step-by-step explanation:

6 ÷ 3 + 32 • 4 - 2 = 128

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Answer:

Hello.

Slope= y=-0.5x + 1.5

Step-by-step explanation:

The following exponential rule is called the Product Rule.

What is exponential rule ?

Exponential rules are mathematical rules that govern the manipulation of exponential expressions, which involve terms that have a base raised to a power. Exponential rules are important in many areas of mathematics and science, particularly in algebra, calculus, and statistics.

According to the question:
The following exponential rule is called the Product Rule. It states that when multiplying two powers with the same base, you can add their exponents. The rule is:

\(a^m * a^n = a^(m+n)\)

For example, \(2^3 * 2^4 = 2^(3+4) = 2^7 = 128\). This rule is fundamental in simplifying expressions and solving equations involving exponential functions.

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Answer:

13.50 per hour

Step-by-step explanation:

she makes 13.50 per hour, you know this ny dividing 27 by 2. If she makes 27 for 2 hours you just got to find half of 27 for 1 hour.

Answer:

13.50

Step-by-step explanation: i did an exam and got it correct

Answer:

yea I cant really do this over a screen

Answer:

16) photo

Step-by-step explanation:

- parallel lines never meet (a, b, c have no points in common)

- perpendicular lines meet other lines at one point, forming two angles of 90 °

Answer:

The product of 6 numbers is negative only is the number of negatives is odd.

If the number of negative roots is even, then their product will be positive.

The greatest odd number less than 6, is 5. It means the smallest number of positive numbers is 6 - 5 = 1.

So the least number of positive roots is one.

Answer:

x=4

Step-by-step explanation:

-9=-x-5

-9+5=-x

-4=-x

x=4

Answer:

y=-6x+36

Step-by-step explanation:

у + 6x — 36 = 0

-add 36 to both sides

y+6x=36

-subtract 6x from both sides

y=36-6x or y=-6x+36

-This should be the correct answer

Answer:

the answer is A -15

Step-by-step explanation:

Hope this helps!

Answer:

-15

Step-by-step explanation:

6x+15=8x+45

or,6x-8x=45-15

or,-2x=30

or,x=30/-2

or,x=-15

Answer:

30

Step-by-step explanation:

A=b*h*1/2

b=10

h=6

10*6*1/2=30

Answer:

1. Since you have to square the number of units to use the Pythagorean theorem, the dashes represent the number you would use in the equation(without squaring afterwards) . So if its 3 units long, there are 9 dashes. (3^2=9)

2. You can't use the number of boxes because that wouldn't give you the correct answer for C, since all of the variables have to be squared first for the formula to work.

Step-by-step explanation:

There are 2 values of k, 12 and -12, for which the polynomial x^2 + kx - 36 has two distinct integer roots.

The polynomial x^2 + kx - 36 has two distinct integer roots if and only if its discriminant is a perfect square.

The value of the discriminant is given by:

b^2 - 4ac = k^2 + 4 * 36 = k^2 + 144

So, for the polynomial x^2 + kx - 36 to have two distinct integer roots, k^2 + 144 must be a perfect square.

We know that the difference of two consecutive perfect squares is equal to an odd number, so we can start testing values of k by incrementing k by 1 and checking if k^2 + 144 is a perfect square.

Starting with k = 0, we have k^2 + 144 = 144, which is not a perfect square. For k = 1, k^2 + 144 = 145, which is also not a perfect square.

For k = 2, k^2 + 144 = 148, which is still not a perfect square.

We keep incrementing k and checking until we find a value of k such that k^2 + 144 is a perfect square.

When k = 12, we have k^2 + 144 = 168, which is a perfect square (12^2).

Therefore, the polynomial x^2 + 12x - 36 has two distinct integer roots.

We can repeat this process for negative values of k to see if the polynomial has two distinct integer roots for those values.

We find that for k = -12, the polynomial x^2 - 12x - 36 also has two distinct integer roots.

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Total assets is $94,000. total liabilities is $75,000, owner's equity is $19,000 and Debt-to-Equity ratio is 3.947.

Assets are the money or items which are benefitted by the company or will benefit in the future.

Liabilities are the amount or items which are obligation for the company.

From the given,

Total assets = bank account balance + inventory + accounts receivable + fixed assets

= $13,000 + $57,000 + $2,000 + $22,000

= $94,000

Total liabilities = Amount owed to video game vendors + bank loan

                        = $25,000 + $50,000

                        = $75,000

Owner's equity = Total assets - Total liabilities

                         = $94,000 - $75,000

                         = $19,000

Debt-to-Equity ratio = Total liabilities / owner's equity

                                 = 75,000 / 19,000

                                 = 3.947

Hence the required amount are found.

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The volume of the sphere, centered at the origin with a radius of 2, can be calculated using the integrals in Cartesian, cylindrical, and spherical coordinates.

To find the integrals that compute the volume of a sphere centered at the origin with a radius of 2, we'll consider the three coordinate systems: Cartesian, cylindrical, and spherical.

1. Cartesian Coordinates:

The volume element in Cartesian coordinates is given by dV = dx dy dz.

To integrate over the sphere, we need to find the limits for x, y, and z.

Since the sphere is centered at the origin, we have -2 ≤ x ≤ 2, -2 ≤ y ≤ 2, and -sqrt(4 - x² - y²) ≤ z ≤ sqrt(4 - x²- y²).

Therefore, the integral for the volume in Cartesian coordinates is:

∭ dV = ∫∫∫ dx dy dz (over the limits described above).

2. Cylindrical Coordinates:

The volume element in cylindrical coordinates is given by dV = r dr dθ dz.

To integrate over the sphere, we need to find the limits for r, θ, and z.

In cylindrical coordinates, the sphere can be expressed as 0 ≤ r ≤ 2, 0 ≤ θ ≤ 2π, and -sqrt(4 - r²) ≤ z ≤ sqrt(4 - r²).

Therefore, the integral for the volume in cylindrical coordinates is:

∭ dV = ∫∫∫ r dr dθ dz (over the limits described above).

3. Spherical Coordinates:

The volume element in spherical coordinates is given by dV = r² sin(θ) dr dθ dφ.

To integrate over the sphere, we need to find the limits for r, θ, and φ.

In spherical coordinates, the sphere can be expressed as 0 ≤ r ≤ 2, 0 ≤ θ ≤ π, and 0 ≤ φ ≤ 2π.

Therefore, the integral for the volume in spherical coordinates is:

∭ dV = ∫∫∫ r² sin(θ) dr dθ dφ (over the limits described above).

Note: The integral limits for θ and φ are already provided in their respective coordinate systems.

The actual integration process would involve evaluating the integrals based on the given limits, but the exact numerical values will depend on the chosen coordinate system and the specific integration techniques used.

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Answer:

b

Step-by-step explanation:

Answer:

b) division.

Answer:

-7x + (-2x) = -x(7 + 2) I think is the correct answer I really don't know

The difference between the lowest price in store 1 and the lowest price in store 2 is the result of the key used to identify the store. The difference between the highest prices in store 1 and store 2 is the result of the key used to identify the store, with both stores having the same price.

The difference between the two terms is that "difference" refers to the way in which two or more things are not the same, whereas "difference" is more of a comparison between two or more things.

The difference between the lowest price in store 1 and the lowest price in store 2 is the difference between the first digit of each store's key. In the case of store 1, the key is 110 and the first digit is 1. In the case of store 2, the key is 210 and the first digit is 2. The difference between the two digits is 1.

The difference between the highest prices in store 1 and store 2 is the difference between the last digit of each store's key. In the case of store 1, the key is 110 and the last digit is 0. In the case of store 2, the key is 210 and the last digit is 0. The difference between the two digits is 0.

The difference between the lowest price in store 1 and the lowest price in store 2 is the result of the key used to identify the store. In the case of store 1, the key is 110 and the first digit is 1. In the case of store 2, the key is 210 and the first digit is 2. The difference between the two digits is 1. This difference is reflected in the lowest prices of each store, with store 1 having a lower price than store 2.

The difference between the highest prices in store 1 and store 2 is the result of the key used to identify the store. In the case of store 1, the key is 110 and the last digit is 0. In the case of store 2, the key is 210 and the last digit is 0. The difference between the two digits is 0. This difference is reflected in the highest prices of each store, with both stores having the same price.

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Answer:

x=6.1

y=12.6

Step-by-step explanation:

x/14 = sin26°

x = 14sin26° = 6.1 (nearest tenth)

y = √(14^2 - x^2) = 12.6 (nearest tenth)

P(X < 299 days) ≈ 0.9893.To find the proportion of pregnancies that last fewer than 299 days in a small rural village, where pregnancy lengths are normally distributed with a mean of 269 days and a standard deviation of 13 days, we can use the standard normal distribution and calculate the corresponding probability.

We can convert the problem to the standard normal distribution by using the z-score formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.
In this case, we want to find P(X < 299 days), which means finding the probability of a pregnancy lasting fewer than 299 days.
First, we calculate the z-score: z = (299 - 269) / 13 ≈ 2.3077.
Next, we look up the corresponding probability from the standard normal distribution table or use a calculator to find P(Z < 2.3077), which is approximately 0.9893.
Therefore, the proportion of pregnancies that last fewer than 299 days is approximately 0.9893, or 98.93%.
This means that in the small rural village, about 98.93% of pregnancies have a duration of fewer than 299 days, based on the given normal distribution with a mean of 269 days and a standard deviation of 13 days.

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Answer:

C. A set of objects chosen from a larger set in which the order of the objects doesn't matter.

Step-by-step explanation:

That is the definition of a combination. Order does not matter

For example, selecting 3 students from a total of 10 students. The set selected is a smaller set from a larger set

The subset L = {(x, y) ∈ ℝ × ℝ: 2x - y = 2} is a line in the two-dimensional plane. The line is represented by the equation 2x - y = 2.

The Cartesian product ℝ × ℝ represents the set of all points in the two-dimensional plane. In this plane, we can define subsets based on certain conditions. In this case, the subset L is defined by the equation 2x - y = 2.

To understand the subset L, let's rearrange the equation in terms of y:

y = 2x - 2.

This equation represents a linear function with a slope of 2 and a y-intercept of -2. It means that for every x value we choose, we can determine the corresponding y value that satisfies the equation.

By plotting the points that satisfy the equation, we can sketch the subset L on the plane. The line L will have a slope of 2 and will pass through the point (0, -2) on the y-axis. It will extend infinitely in both directions, representing all the points (x, y) that satisfy the equation 2x - y = 2.

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B)12

Step-by-step explanation:

60=5x-10

+10 +10

70=5x

÷5 ÷5

x=12

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.