How many
roots does the relation y = 4x² - 20x + 25 have? (2 marks)

Answer:

14.625

Step-by-step explanation:

Answer: 14.625

Step-by-step explanation: can i have brainliest?

Since the boy solved 55 problems correctly, the percentage is 79%.

The least number of correct answers needed to pass is 28 correct answers.

In Mathematics, a percentage can be defined as any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

Based on the information provided about the examination, we can calculate the percentage of questions (problems) that the boy answered correctly as follows;

Percentage = 55/70 × 100

Percentage = 0.7857 × 100

Percentage = 78.57 ≈ 79%

Quantity = percent × whole number

Quantity = 40/100 × 70

Quantity = 28 correct answers.

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The number of toothpicks that the jumbo box hold is 6760.

From the information, there are 250 toothpicks in a regular-size box and jumbo-size box is made by tripling the length, width, and height of the regular box.

Therefore, the number of toothpicks will be illustrated by multiplying the value by the change. This will be:

= 250 × 3 × 3 × 3

= 6750

This was because the dimensions were tripled

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For the given percenatge of total cost, the total value of Gabe's health care coverage for the year is $9,984.

What is percentage?

Percentage is a way of expressing a fraction or a part of a whole as a portion out of 100. It is represented by the symbol "%".

We can start by using the information given to determine the total cost of the health care coverage. Let's call this cost "C". Since Gabe contributes 15% of this cost and pays $28.80 per week, we can write:

0.15C = 28.80

To solve for C, we can divide both sides by 0.15:

C = 28.80 / 0.15

= 192

So the total cost of the health care coverage is $192 per week. To find the total value of Gabe's health care coverage for the year, we need to multiply this weekly cost by the number of weeks in a year.

Assuming there are 52 weeks in a year, we have:

Total value of Gabe's health care coverage = 192 x 52

= 9984

Therefore, the total value of Gabe's health care coverage for the year is $9,984.

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Answer:

B.

Step-by-step explanation:

The graphed line has a slope of 3 which is higher than the functions slope of 2. It also has a y-intercept of 4 while the functions y-intercept is -5, therefore it is higher.

Answer:

There you go cupcake!

The graphs of the functions f(x) and g(x) are attached with the answer.

       \(${\displaystyle G=\{(x,f(x))\mid x\in X\}.}\)

Given are the functions f(x) and g(x).

The given functions are -

f(x) = \($100(\frac{3}{5})^{x}\)

g(x) = \($100(\frac{2}{5})^{x}\)

Refer to the graphs of the function f(x) and g(x).

Therefore, the graphs of the functions f(x) and g(x) are attached with the answer.

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Answer:

\(\frac{10m^{10}n^{6}p^{9}}{y}\)

Step-by-step explanation:

Simplifying the numerator :

⇒ (-5m⁷n⁰p⁵)(2m⁴n³p²)³

⇒ (-5m⁷p⁵)(8m¹²n⁹p⁶)

⇒ (-5)(8)(m)⁷⁺¹²n⁹(p)⁵⁺⁶

⇒ -40m¹⁹n⁹p¹¹

Dividing by the denominator :

⇒ \(\frac{-40m^{19}n^{9} p^{11} }{-4m^{9}n^{3}p^{2}y} }\)

⇒ \(\frac{10m^{10}n^{6}p^{9}}{y}\)

Answer:

10 hours at job (1)

2 hours at job (2)

Step-by-step explanation:

As per the given information, one earns ($8) dollars at one of their jobs, and ($10) hours at the other. One must earn a total of ($100) dollars, and can work no more than (12) hours. Let (x) be the hours worked at job 1 and (y) be the hours worked at job two.

Since one can work no more than (12) hours, the sum of (x) and (y) must be (12), therefore the following equation can be formed;

\(x+y=12\)

One earns ($8) dollars at one of their jobs and ($10) at the other, but one earns a total of (100) one can form an equation to represent this situation.  Multiply the hours worked by the money earn per hour for each job, add up the result and set it equal to (100).

\(8x+10y=100\)

Now set up these equations in a system;

\(\left \{ {{x+y=12} \atop {8x+10y=100}} \right.\)

Use the process of elimination to solve this system. The process of elimination is a method of solving a system of equations. One must first manipulate one of the equations in the system such that one of the variable coefficients is the additive inverse of the other. That way, when one adds the equation, the variable cancels, one can solve for the other variable then back solve to find the value of the first variable,

\(\left \{ {{x+y=12} \atop {8x+10y=100}} \right.\)

Manipulate,

\(= \left \{ {{(*-8)(x+y=12)} \atop {8x+10y=100}} \right.\\\\\)

Simplify,

\(= \left \{ {{-8x-8y=-96} \atop {8x+10y=100}} \right.\\\)

Add,

\(=2y=4\)

Inverse operations,

\(y=2\)

Backsolve for (x), use equation one to achieve this,

\(x+y=12\\\)

Substitute,

\(x+2=12\)

Inverse operations,

\(x=10\)

Using translation concepts, it is found that:

a) For a translation 6 units horizontally, 6 is either added or subtracted to the x-coordinate of the ordered pairs.

b) For a translation 3 units vertically, 3 is either added or subtracted to the y-coordinate of the ordered pairs.

c) The coordinates of the vertices of the translated image will be given according to the following rule: (x,y) -> (x ± 6, y ± 3).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For a translation 6 units horizontally, we have that:

Hence 6 is either added or subtracted to the x-coordinate of the ordered pairs.

For a translation 3 units vertically, we have that:

Hence 3 is either added or subtracted to the y-coordinate of the ordered pairs.

The coordinates of the vertices of the translated image will be given according to the following rule: (x,y) -> (x ± 6, y ± 3).

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Answer:

x = 4i, − 4i

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x

x = 4i, − 4i

Answer:

me tooooo!

Step-by-step explanation:

The equations that has the solution x = all real numbers is 5(3x)+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x,

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Here given equations,

5(3x) + 6x = 3x + 15 + 2x

15x + 6x = 3x + 15 + 2x

15 x + 6x - 3x -2x = 15

16 x = 15

x = 15/16

5(3x).+ 7x = 3x + 15 - x

15 x + 7x = 3x + 15 - x

15 x + 7x - 3x + x = 15

22x - 3x + x = 15

20 x = 15

x = 15/20

x = 3/4

5(3x) + 7x = 3x + 10 - x

15x + 7x - 3x + x = 10

20x = 10

x = 10/20

x = 1/2

5(3x) + 7x = x + 15 - 3x

15x +7x - x + 3x = 15

24x = 15

x = 15/24

x = 5/8

Therefore the equations that has the solution x = all real numbers are :

5(3x).+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x .

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Answer:

a fraction in which the numerator is greater than the denominator, such as 5/4.

Step-by-step explanation:

A fraction consists of a Numerator and a Denominator. The numerator tells how many parts out of all are there. The denominator tells how many total parts are there. A fraction in which the numerator is greater than the denominator is called an improper fraction.

Hope it helps!

Please mark me as Brainliest!

Answer:

Middle bar

Step-by-step explanation:

6 + 4 = 10

10 + 5 = 15

The solution for the inequality is 11.746 ≤ x ≤ 24.44

Kali earns a 15.75 plus a flat fee of 50 from her job.

She wants to earn between 200 and 400.

Let 'x' denote her earning potential.

Then the inequality for her earning potential is given by,

200 ≤ 15.75x + 50 ≤ 400

We solve this inequality for x.

Subtract 50 from the inequality,

⇒ 200 -15 ≤ 15.75x ≤ 400 -15

⇒ 185 ≤ 15.75x ≤ 385

Divide by 15.75,

⇒ 11.746 ≤ x ≤ 24.44

is the solution for the inequality.

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A. In equation form: Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

B. Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

To solve this problem using E x c e l Solver, set up the revenue function and the constraints. Here's how you can do it:

a. Revenue Function:

Let's denote the number of cakes baked for each type as x1, x2, x3, x4, and x5 respectively.

The revenue function can be formulated as:

Revenue = (Selling Price of Cake 1 × Number of Cake 1) + (Selling Price of Cake 2 × Number of Cake 2) + (Selling Price of Cake 3 × Number of Cake 3) + (Selling Price of Cake 4 × Number of Cake 4) + (Selling Price of Cake 5 × Number of Cake 5)

In equation form:

Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

b. Constraints:

The constraints for the availability of ingredients can be formulated as follows:

Milk constraint: 4x1 + 3x2 + x3 + 5x4 + 4x5 ≤ 280

Sugar constraint: 7x1 + 4x2 + 5x3 ≤ 300

Egg constraint: x1 + 2x2 + 3x3 + 4x4 + 5x5 ≤ 80

Flour constraint: 3x1 + 4x2 + 2x3 + 4x4 + 6x5 ≤ 250

Cream constraint: 4x1 + 5x3 + x4 + 3x5 ≤ 190

Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

c. Solve the system of linear inequalities using E x c e l Solver:

To solve the system of linear inequalities using E x c e l Solver, follow these steps:

1. Open M i c r o s o f t E x c e l and enter the following data in a new sheet:

| | A | B |

|-----|-----------|-----------------|

| 1 | Cakes | Selling Price |

| 2 | Cake 1 | $9 |

| 3 | Cake 2 | $12 |

| 4 | Cake 3 | $4 |

| 5 | Cake 4 | $5 |

| 6 | Cake 5 | $8 |

| | | |

| | | Formula |

| 9 | Milk | 280 |

| 10 | Sugar | 300 |

| 11 | Eggs | 80 |

| 12 | Flour | 250 |

| 13 | Cream | 190 |

2. In cell B16, enter the formula for the revenue:

=B2×B7 + B3×B8 + B4×B9 + B5×B10 + B6×B11

3. In cell B18, enter the formula for the milk constraint:

=4×B2 + 3×B3 + B4 + 5×B5 + 4×B6

4. In cell B19, enter the formula for the sugar constraint:

=7×B2 + 4×B3 + 5×B4

5. In cell B20, enter the formula for the egg constraint:

=B2 + 2×B3 + 3×B4 + 4×B5 + 5×B6

6. In cell B21, enter the formula for the flour constraint:

=3×B2 + 4×B3 + 2×B4 + 4×B5 + 6×B6

7. In cell B22, enter the formula for the cream constraint:

=4×B2 + 5×B4 + B5 + 3×B6

8. In cell B24, enter the formula for the non-negativity constraint for Cake 1:

=B2

9. Repeat step 8 for the remaining cakes, entering the formulas in cells B25, B26, B27, and B28:

=B3

=B4

=B5

=B6

10. Now, select cells B16 to B28 and click on the "Solver" button in the "Data" tab.

11. In the Solver Parameters window, set the objective to maximize the cell B16 (Revenue).

12. Set the By Changing Variable Cells to B24:B28 (the number of cakes baked).

13. Click on the "Add" button in the "Subject to the Constraints" section.

14. In the Constraint window, select the range B18:B22 for the constraint cells.

15. In the Solver Parameters window, click on the "Add" button again and select the range B24:B28 for the non-negativity constraints.

16. Set the Solver options as desired, and click on the "Solve" button.

E x c e l Solver will calculate the optimal values for the number of cakes to be baked for each type that maximize the revenue, while satisfying the given constraints on ingredient availability. The solution will be displayed in cells B24:B28, indicating the number of cakes to be baked for each type.

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Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

The length of the curve of intersection, correct to four decimal places, is 27.7128 units.

To find the length of the curve of intersection, we need to first parameterize the curve.

From the equation of the cylinder, we have:

4x² + y² = 4

Dividing both sides by 4, we get:

x²/1 + y²/4 = 1

This is the equation of an ellipse centered at the origin with semi-major axis a=1 and semi-minor axis b=2.

From the equation of the plane, we have:

x + y + z = 6

Solving for z, we get:

z = 6 - x - y

So the equation of the curve of intersection is:

r(t) = <t, 2sin(t), 6-t-2sin(t)>

where 0 <= t <= 2π.

To find the length of the curve, we need to integrate the magnitude of its derivative with respect to t:

L = ∫√(dx/dt)² + (dy/dt)² + (dz/dt)² dt

Taking the derivative of r(t), we get:

r'(t) = <1, 2cos(t), -1-2cos(t)>

So the magnitude of r'(t) is:

|r'(t)| = √(1² + (2cos(t))² + (-1-2cos(t))²) = √(9+9cos(t)²)

Therefore, the length of the curve is:

L = ∫_0⁽²π⁾ √(9+9cos(t)²) dt

This integral can be solved using the substitution u = tan(t/2), which gives:

L = 18∫_0∞ 1/√(1+u²) du

This integral can be evaluated using trig substitution, letting u = tanθ, which gives:

L = 18∫_0⁽π/²⁾ secθ dθ = 18 ln|sec(π/4)+tan(π/4)| = 18 ln(1+√2)

Using a calculator, we get:

L ≈ 27.7128

Therefore, the length of the curve of intersection, correct to four decimal places, is 27.7128 units.

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If order matters then that's permutation else that's combination

So

Here the answers are

#1

Teams cannot be repeated

#2

Teachers also can't be repeated

#3

Can't repeat

#4

Already mentioned

#5

Repeating allowed

#6

Can be repeated

#7

Can't be repeated

#8

Can be repeated

#9

Answer:

do you need a bandaid?

Step-by-step explanation:

Step-by-step explanation:

Wth?

Are u okay??

call 911

Answer:

Lowest possible score is 59.865 and you can still maintain an 80 by the end.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

RULE 1 :ANY SIDE OF THE TRIANGLE MUST BE LESS THAN THE SUM OF THE OTHER TWO SIDES

6< 12+5

5<6+12

12<5+6 (this is wrong number 1)

RULE 2: ANY SIDE MUST BE LESS THAN THE SUBTRACTION OF THE SMALLER SIDE AND THE BIGGER SIDE

6>12-5(wrong number 2)

5>12-6(wrong number 3)

12> 6-5

IT ONLY TAKES ONE WRONG TPO PROVE THIS IS NOT CORRECT

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

The inequality for this situation is given as b + n ≥ 16 and 6b + 9n > 108

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let b represent the number of bracelets she sells, and let n represent the number of necklaces she sells.

Hence:

b + n ≥ 16  (1)

and:

6b + 9n > 108   (2)

The inequality for this situation is given as b + n ≥ 16 and 6b + 9n > 108

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Answer:

i think its 700 hope it help

Step-by-step explanation:

the answer would be

70 times

Answer:

x + (80-x) = 80

Hope this helps