Which shows the correct substitution of the values a, b, and c from the equation 0 = 4x2 + 2x – 1 into the quadraticformula below?Quadratic formula: x = -bt/b2 - 4 ac2aOX=-222 - 4(4)( - 1)2(4)0x =-2 V22 - 4(4)(1)2(4)OX=-2 V22 + 4(4)(-1)2(4)x =-2-22-4(4)(-1)2(4)

The n-th root of x is equivalent to raising x to the power of 1/n, so

\(2\sqrt[4]{x^7} = 2\left(x^7\right)^{1/4}\)

If you raise x to some power n, then raise that to another power m, the result is raising x to the power of mn, so

\(2\left(x^7\right)^{1/4} = \boxed{2x^{7/4}}\)

Answer:

Answer B. 4

Step-by-step explanation:

Equations

Solve the equation:

5x - 2( 2x - 1 ) = 6

Operate the parentheses:

5x - 4x + 2 = 6

Collect like terms:

x + 2 = 6

Subtract 2:

x = 6 - 2

x = 4

The value of x is 4

Answer B. 4

Step-by-step explanation:

The simplified expression is 6\(b^4\)√(12,.5b)  

We have,

\(\sqrt{450b^9}\)

This can be simplified as,

√450 x \(\sqrt{b^9}\)

Finding the perfect square values.

= √(9 x 50) x √(b x \(b^8\))

=√(3² x 50) x √b x √(\(b^4\))²

Square root cancel with perfect square values.

= 3 x √50 x √b x \(b^4\)

= 3 x √(4 x 12.5) x √b x \(b^4\)

= 3 x 2 x √12.4 x √b x \(b^4\)

= 6\(b^4\)√(12,.5b)  

Thus,

The simplified expression is 6\(b^4\)√(12,.5b)  

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Answer:

-2.4

-0.8

0.2

0.9

1.6

Step-by-step explanation:

I just know.

Step-by-step explanation:

\(circumference = 2\pi\: r \: \\ = 2 \times 3.14 \times 86 \\ = 540.08\)

Answer:

540.08

Step-by-step explanation:

Answer:

He spent $24

Step-by-step explanation:

it is 24

hope it helps

Answer:

x= -4/9

Step-by-step explanation:

HOPE THIS HELPS!!!! :)

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Answer: 5/8

Step-by-step explanation:

Answer:

x will equal 61 degrees

Step-by-step explanation:

The total degree of a pentagon is 540. You subtract all the angles you have (138, 144, 107, and 90) and that will get your sum.

i. Range (A): The space spanned by the columns of matrix A. It represents all possible linear combinations of the columns of A.

ii. Null (A): The set of all vectors x such that Ax = 0. It represents the solutions to the homogeneous equation Ax = 0.

iii. Row (A): The space spanned by the rows of matrix A. It represents all possible linear combinations of the rows of A.

iv. Null (A): The set of all vectors y such that ATy = 0. It represents the solutions to the homogeneous equation ATy = 0.

The equation Ax = b has a solution only when b is in the Range (A). It has a unique solution only when the Null (A) contains only the zero vector.

The equation ATy = d has a solution only when d is in the Row (A). It has a unique solution only when the Null (A) contains only the zero vector.

Assuming the size of A is m × n:

When Ax = b has a unique solution, the space Null (A) must be equal to Rn. This means there are no non-zero vectors that satisfy Ax = 0, ensuring a unique solution.

When ATy = d has a unique solution, the space Null (AT) must be equal to Rm. This means there are no non-zero vectors that satisfy ATy = 0, ensuring a unique solution.

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Answer:

y= -3x+24

Step-by-step explanation:

First find the slope of the line

-x + 3y = -6

Add x to each side

3y = x-6

Divide by 3

3y/3 = 1/3 x -6/3

y = 1/3x -2

The slope is 1/3 since it is in the form y = mx+b where m is the slope

Perpendicular lines have slopes that multiply to -1

1/3 * m = -1

m = -1 * 3/1

m = -3

The slope of the perpendicular line is -3

Slope intercept form is

y = mx+b where m is the slope and b is the y interceot

y = -3x+b

We have a point ( 6,6)

6 = -3(6) +b

6 = -18+b

Add 18 to each side

6+18 = -18+b+18

24 = b

y= -3x+24

Answer:

y= -3x+24

Step-by-step explanation:

hope this helps!

Answer:

No solutions

Step-by-step explanation:

I hope my answer help you.

Answer: Approximately 8.49 feet

==================================================

Explanation:

Draw a right triangle. The reference angle is between the ground and the kite string (aka hypotenuse). The hypotenuse is 12 and the side opposite the reference angle is x.

Refer to the diagram below.

We'll use the sine rule to find x

sin(angle) = opposite/hypotenuse

sin(45) = x/12

12*sin(45) = x

x = 12*sin(45)

x = 8.48528137423857

x = 8.49

This value is approximate.

Make sure your calculator is in degree mode.

I rounded to 2 decimal places, but feel free to round however you need if your teacher instructs otherwise.

Prospective observational studies involve collecting data from participants before an event or outcome occurs, while retrospective observational studies collect data after the event has already taken place.

A prospective observational study is a type of observational study that involves collecting data from participants before an event or outcome occurs. This type of study is used to predict and measure outcomes in the future.

In this type of study, the researcher can control the variables, such as when and how the data is collected, and can also observe the effects of any changes in the environment.

On the other hand, a retrospective observational study is a type of observational study that involves collecting data after an event or outcome has already taken place. This type of study is used to study the causes of a given outcome.

In this type of study, the researcher looks back in time and collects data from the past. This type of study is more limited than a prospective observational study, since the researcher cannot control the variables of the study or observe any changes in the environment.

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Answer:

the answer may be made up to 17

With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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So on solving the provided question we cans say that factors of  4y^2=81 are - y = +9/4 and - 9/4

Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.

factors of  4y^2=81

are -

y = +9/4 and - 9/4

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that the image appears to be neither even nor odd. An even function is one where f(-x) = f(x) for all x, and an odd function is one where f(-x) = -f(x) for all x. If the function satisfies neither of these conditions, it is considered neither even nor odd.

we can see that the image does not exhibit the symmetry required for it to be even or odd. There is no point or line of symmetry that would allow us to reflect the image and have it look the same.

based on the lack of symmetry, we can determine that the image is neither even nor odd.

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Answer:

42

Step-by-step explanation:

a = 2, b = 5, and c = 1

Answer:

The answer is 42 .

Step-by-step explanation:

Here,

a = 2

b = 5

c = 1

Now,

 \(a(4b+c^{2} )\)

\(= 2(4 * 5 +1^{2} )\)

= 2( 20 + 1 )

= 2 x 21

=42

Answer:

I think it's would be 5%

Step-by-step explanation:

Since 29 Books are damaged we do 29/580 and then get 0.05 and multiply by 100 and get 5 percent

Answer:8, 30

Step-by-step explanation:

Answer: 2. Linear pair postulate

4. 60 + mACB=180

5. mACB=120

6. definition of obtuse angle

The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangle ABC with extended line CD.

Since CD is colinear with BC, therefore, BCD will be a single straight-line segment.

The ∠BCD is straight angle so it will be 180°.

∠BCD = ∠ACB + ∠ACD

∠ACB + 60 = 180

∠ACB = 180 - 60 = 120°.

An obtuse triangle is a triangle whose one or more interior angle is greater than 90°.

Since∠ACB > 90° therefore triangle ABC is an obtuse angle.

Hence "The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle".

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Answer:

y=1x-5

Step-by-step explanation:

Answer:

The equation for line one is y = -2x - 5

Answer:

136

Step-by-step explanation:

GEMDAS

G - groupings

E - exponents

M - multiply

A - add

S - subtract

The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

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In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/intercept form of a line.

The required value of x for the given proportion is 45.31

What is proportion?

Proportion is a mathematical relationship or ratio between two or more values. It is used to compare the size, quantity, or degree of two or more objects or measurements. Proportion can be expressed as a fraction, decimal, or percentage. It is often used in geometry, algebra, and calculus to determine the size of a shape or to solve an equation. Proportion is also used in statistics to compare data sets. In everyday life, proportion is used to make sure that items are in good balance with each other. For instance, proportions are used when baking a cake or making a recipe to ensure that the ingredients are properly combined.

Given, the proportion

x : 15 = 29 : 9.6

or, x = \(\frac{29}{9.6}\) × 15

or, x = 45.31

Hence, the required value of x for the given proportion is 45.31

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