Find all complex solutions of 7x^2-7x+3=0

0 = 0 × ( 8 × 3 )

Answer: 0

Ok done. Thank to me :>

The woman will withdraw $300 given 6%   interest rate annually.

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:

r = 0.06/365 = 0.00016438356

The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:

I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999

The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:

300 + 0.017 = $300.02

Rounding to the nearest dollar, the woman will withdraw $300.

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Answer:

\((x+1)^{2} +(y+2)^{2} =20\)

Step-by-step explanation:

Using the mid point formula to find the center of the circle:

midpoint = \((\frac{x_{1} +x_{2} }{2} ,\frac{y_{1} +y_{2} }{2} )\)

Midpoint = \((\frac{3+-5}{2} ,\frac{0+-4}{2} )\)

Midpoint = \((-1,-2)\)

The midpoint is the same as the centre of the circle

Find the distance(the diameter of the circle) between those two points to find the radius:

Distance formula = \(\sqrt{(y_{2}-y_{1} )^{2} +(x_{2} -x_{1} ) ^{2} }\)

Distance formula = \(\sqrt{(-4-0)^{2} +(-5-3)^{2} }\)

Distance formula = \(\sqrt{16+64}\)

Distance formula = \(\sqrt{80}\)

So,the diameter is \(\sqrt{80}\) and to find the radius we need to divide the diameter by two

Radius = \(\frac{\sqrt{80} }{2}\)

Radius = \(2\sqrt{5}\)

the equation of circle:

Radius = \(2\sqrt{5}\)

Center = (-1,-2)

\((x-h)^{2} +(y-k)^{2} =r^{2}\)

\((x- -1)^{2} +(y- - 2)^{2} =(2\sqrt{5} )^{2}\)

\((x+1)^{2} +(y+2)^{2} =20\)

The scale factor of figure B to figure A is 1/2.

To find the scale factor of figure B to figure A, we need to determine how much the corresponding sides of the two figures have been multiplied or divided by.

Looking at the figures, we can see that the corresponding sides of figure B are half the length of the corresponding sides of figure A. For example, the length of side AB in figure A is twice the length of side AB' in figure B, and the length of side BC in figure A is twice the length of side B'C' in figure B.

Since the corresponding sides of figure B are half the length of the corresponding sides of figure A, the scale factor of figure B to figure A is 1:2 or 1/2.

Therefore, the scale factor of figure B to figure A is 1/2.

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Answer:

y = 0.1(x + 5)² + 1.5

Step-by-step explanation:

Equation of a parabola having vertex at (h, k) is given by,

y = a(x - h)² + k

From the given graph, vertex of the parabola is (-5, 1.5)

Therefore, equation of the parabola will be,

y = a(x + 5)² + 1.5

Since, this parabola passes through a point (0, 4)

4 = a(0 + 5)² + 1.5

4 = 25a + 1.5

25a = 2.5

a = 0.1

By substituting the value of 'a' in the equation of the parabola,

y = 0.1(x + 5)² + 1.5

Answer:

(n+3)/7

Step-by-step explanation:

just understand and you will get it ok :)

Answer:

Step-by-step explanation:

The domain is ( -2,2)

The range is ( 4,-5)

PLEASE GIVE BRAINLIEST.

Answer:

Can you please give the entire question

Step-by-step explanation:

I dont understand

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer:

13

Step-by-step explanation:

we us the pythagorean theorem

sqrt( 144 + 25) = 13

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

Used to find side lengths of right triangles, a and b represent sides, while c represents the hypotenuse.

The experiment is not a binomial experiment.

A binomial experiment is an experiment where there is a fixed number of trials, and the results are usually between two options- a yes or a no.

The conditions for a binomial experiment include:

1. Each trial should be classified either as a success or a failure.

2. There are a fixed number of observations

3. The trials are independent.

4. The number of trials are fixed.

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Answer:

324.848

288.464

316.112

337.856

Step-by-step explanation:

Given that :

Mean (m) = 350

Standard deviation (σ) = 48

Determine the value of x for the following :

Using the z probability calculator :

a.) 70% of the values are greater than x.

1 - 0.7 = 0.3

P(x < 30%) = P(x < 0.3) = - 0.524 = z

Z = (x - m) / σ

x = (z * σ) + m

X = (- 0.524 * 48) + 350 = 324.848

b.) x is less than 10% of the values.

P(x < 0.1) = - 1.282 = z

X = (- 1.282 * 48) + 350 = 288.464

C.) 24% of the values are less than x

P(x < 0.24) = - 0.706 = z

X = (- 0.706 * 48) + 350 = 316.112

D.) x is greater than 60% of the values

P(x > 0.6) = -0.253 = z

X = (- 0.253 * 48) + 350 = 337.856

Answer:

x = 0 , x = 2

Step-by-step explanation:

3x² = 6x ( subtract 6x from both sides )

3x² - 6x = 0 ← factor out 3x from each term

3x(x - 2) = 0

equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 2 = 0 ( add 2 to both sides )

x = 2

solutions are x = 0 , x = 2

The formula for amount of the coupon is given by n = m - a.

This question can be solved using simple Linear equation. A linear equation may be defined as an expression which can be written in the form y = ax + b where a, b are coefficients and x, and y are independent and dependent variables respectively. According to question we have a formula a = m - n where a is the actual cost, m is original price and n is coupon discount. The actual cost of an item will depend on the coupon discount as well as the original cost of the item. To find the coupon amount from the formula we rearrange the equation as

a = m - n

a - m = -n

=> n = m - a which will be the required formula.

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Using the vertex, it is found that the maximum height of the punt is of 27.7 feet.

The height of the punt, after x seconds, is given by:

\(f(x) = -0.0152x^2 + 1.25x + 2\)

It is a quadratic equation with coefficients \(a = -0.0152, b = 1.25, c = 2\).

The maximum value is the value of the function at the vertex, hence:

\(f_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}\)

Applying the coefficients:

\(f_V = -\frac{b^2 - 4ac}{4a} = -\frac{(1.25)^2 - 4(-0.0152)(2)}{4(-0.0152)} = 27.7\)

The maximum height of the punt is of 27.7 feet.

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The relation for x and y is given as y = 26/x. The correct answer is option (B).

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

Given that,

The proportionality relation between x and y as

y ∝ 1/x

And, y = 2 at x = 13.

Suppose k is the constant of proportionality.

Then, y = k/x

Substitute y = 2 and x = 13 in the above equation to obtain,

2 = k/13

=> k = 26

Thus, by substituting the value of k the equation can be written as y = 26/x.

Hence, the equation that relates x and y is y = 26/x.

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Answer:

There are 2000 grams of in each meal.

Step-by-step explanation:

First you divide 8 by 4 because that's how many meals he eats per day then you convert the kilograms into grams.

The weight of each meal a black bear eats is 2 kilograms.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given,  A black bear in a zoo eats 8 kilograms of food each day.

He eats 4 equal-sized meals each day.

∴ The weight of each meal is the total kilograms of food divided by the total no. of meals which is,

= (8/4) kilograms.

= 2 kilograms.

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Answer:

depth 5 8.3 ft, length 5 24.9 ft, width 5 16.8 ft

Answer:

a) upward

b) x = -2

c) -2, 1

d)

none

y = 5

Step-by-step explanation:

a) I think that is clear and speaks for itself.

b) axis of symmetry : around what line can this figure be considered as "mirrored", so that it looks like how it looks ?

x = -2 is a line/axis parallel to the y-axis (vertical) that does the figure into 2 halves that are the mirrored images of each other.

c) the extreme point. the point with a tangent with slope=0 (a flat line). there is only one. at x=-2. and the y-value is 1.

d) there is no intercept with the x-axis at all.

and the intercept with the y-axis is at y=5.

The y-intercept coordinate is at the point (0, 17)

Given the following function expressed as:

\(y = 3(x-2)^2 + 5\)

The x-intercept is the point where y = 0

\(3(x-2)^2 + 5=0\\3(x-2)^2 = -5\\(x-2)^2 = -5/3\\x - 2 = 25/9\\x = 25/9 + 2\\x = \frac{43}{9}\)

Hence the x-intercept is (43/9, 0)

The y-intercept is the point where x = 0

\(y=3(x-2)^2 + 5\\y=3(-2)^2 + 5\\y=12+5\\y=17\)

The y-intercept coordinate is at the point (0, 17)

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Answer:

  (c)  The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).

Step-by-step explanation:

You want to know the relationship between the graphs of function f(x) and its inverse f⁻¹(x).

The inverse of a function maps every y-value of the original function to its corresponding x-value. That is if you have ...

  f(a) = b

then the graph of f(x) contains the ordered pair (a, b).

The inverse function will have the ordered pair (b, a). That is,

  f⁻¹(b) = a

If an ordered pair (x-intercept) of the inverse function is ...

  (P, 0)

Then there will be an ordered pair (0, P) on the graph of the original function. That point is the y-intercept, and its y-coordinate is the same as the x-coordinate of the x-intercept of the inverse function.

The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).

__

Additional comment

The graphs of the two functions are mirror images of each other across the line y=x.

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Answer:

Their combined height is 108 inches

Step-by-step explanation:

1 ft = 12 inches

12 * 4 = 48 inches

48 + 6 = 54 inches

54 * 2 = 108 inches

Answer:

9 ft and 0 inches

Step-by-step explanation:

4 ft 6 inch + 4 ft 6 inch = 8ft 12inch

12 inches = 1 foot

8 ft + 1 ft = 9ft

Answer:

B:<

Step-by-step explanation:

You can solve this question with fractions. The way I did it was by changing both equations into fractions like this: 6÷7=6/1x1/7=6/7 and     7÷8=7/1x1/8=7/8. Since they don't have a common denomintor and you still dont know which fraction is bigger/smaller, we are going to find a common denominator which is 56. After converting both fractions, (6/7=48/56 and 7/8=49/56)  Now you can see that 7/8 is bigger than 6/7, which shows that 6÷7<7÷8.

It would be B)no.

Hope This Helps!

The decimal cannot be rounded. It is already rounded to the nearest hundredth.