The sum of two numbers is 880,000. The difference of the numbers is 220,000. What are the numbers? Explain how you found your answer.

a) The quadratic function g(x) = 2f(x-4) + 5 is defined as a transformed version of the original quadratic function f(x). The transformation applied to f(x) is a horizontal shift of 4 units to the left and a vertical shift of 5 units upward. This can be observed from the fact that x is replaced with (x-4) in the function g(x). The function is also scaled by a factor of 2.

How does a quadratic function work?

f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.

b) The turning point of the quadratic function f(x) is (-3, 2). To find the turning point of g(x), we must first apply the horizontal shift of 4 units to the left to the x-coordinate, and then apply the vertical shift of 5 units upward to the y-coordinate.

The turning point of g(x) is (-3+4, 2+5) = (1,7)

So, the turning point of the transformed function g(x) is (1,7)

We can see that the transformation of g(x) moves the turning point of f(x) to the right and up, as expected from the transformation.

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An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.

An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.

In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.

The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.

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The exponential probability density function is a continuous probability distribution that models the time between independent events occurring at a constant rate. The formula for P(x ≤ x0) is given by Formula #1, which is the cumulative distribution function (CDF) for the exponential distribution.

To calculate the probabilities, we can use the formula P(x ≤ x0) = 1 - e^(-λx0), where λ is the rate parameter and x0 is the value of interest.

Using this formula, we can find P(x ≤ 2) = 0.3935, P(x ≥ 3) = 0.0498, P(x ≤ 6) = 0.9179, and P(2 ≤ x ≤ 6) = 0.5242, all to 4 decimal places.

It is important to note that the exponential distribution has the memoryless property, meaning that the probability of an event occurring in the next time interval is independent of the length of time since the previous event.

This property makes the exponential distribution useful in many real-world applications, such as queuing theory and reliability analysis.

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1.738 kg of coffee are required to produce 200 cups of coffee.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.

Now it is given that,

1 pound of coffee yield 50 cups.

Since 1 pound = 0.4535 kg

Therefore, 0.4535 kg of coffee yield 50 cups.

Let x be the kgs of coffee that yields 200 cups of coffee.

Thus by proportion we can write,

0.4345 / 50 = x / 200

By cross multiplication we get,

50 x = 0.4345 * 200

⇒ 50x = 86.9

⇒ x = 86.9 / 50

⇒ x = 1.738 kgs

which is the required amount of coffee need to yield 200 cups.

Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.

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Answer:

y=2/3x+4

Step-by-step explanation:

Answer:

y = 2/3x + 4

Step-by-step explanation:

Find slope (or m):

m = y2 - y1 / x2 - x1

Pick any 2 coordinates: I will pick (0, 4) and (3, 6).

m = 6 - 4 / 3 - 0

m = 2 / 3

m = 2/3

Find y-intercept (or b):

The y-intercept is when x = 0; in this case when x = 0, y = 4.

Question 7

\(\sqrt{(12)(4)}=4\sqrt{3}\)

Question 8

\(\sqrt{(13)(3)}=\sqrt{39}

\(\sqrt{(13)(3)}=\sqrt{39}\)

Question 9

\(SR=30-6=24 \\ \\ QS=\sqrt{(24)(6)}=12\)

Answer:

x= -1

Step-by-step explanation:

-4(2x+5)+x+2= -11

-8x-20+x+2

-7x-18= -11

    +18  +18

-7x= 7

-7x/-7 =7/-7

x= -1

Hope this helps!

If on  Monday Tom work for 11 extra hours the total amount of money that tom made on Monday is £885.

As per the given data, the extra money he earns can be calculated as,

= [(11 - 7) × 15] × 13 + (7 × 15)]

= (4 × 15 × 13) + 105

= 780 + 105

= £885

Therefore, the amount of money  is £885.

Time and work are concerned with how long it takes a person or a group of people to finish a task and how well each of them completes it.

Indirect proportion is related to time and work. In both directions, when one quantity rises, the other falls, and vice versa. It takes less time to finish the same amount of work when people work more hours.

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Answer:

180

Step-by-step explanation:

15% of 300 is 45.

25% of 300 is 75.

45+75 is 120.

300-120 is 180

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,6) and (10,4).

The distance is

We have the final answer as

Hope this helps you

Step-by-step explanation:

\( \because \angle JKM \) is the exterior angle of \( \triangle KLM \)

\( \therefore \) by remote interior angle theorem of a triangle, we have:

\( m\angle L + m\angle M = m\angle JKL \\\\

(18z + 3)\degree + (5z - 3)\degree = 161\degree \\\\

(18z + 3+5z - 3)\degree = 161\degree \\\\

(23z)\degree = 161\degree \\\\

23z = 161\\\\

z = \frac{161}{23} \\\\

\huge \red {\boxed {z = 7}} \\\\

\because \measuredangle L = (18z +3)\degree \\\\

\therefore \measuredangle L = (18\times 7+3)\degree \\\\

\therefore \measuredangle L = (126+3)\degree \\\\

\huge\purple {\boxed {\therefore \measuredangle L = 129\degree}} \\\\

\because \measuredangle M = (5z - 3)\degree \\\\

\therefore \measuredangle M= (5\times 7-3)\degree \\\\

\therefore \measuredangle M = (35-3)\degree \\\\

\huge\orange {\boxed {\therefore \measuredangle M = 32\degree}} \\\\\)

The corresponding intervals for diameters of the washers as given in the task content is; 3.44 ≤ d ≤ 3.76.

It follows from the task content that the corresponding interval for ths diameter of the washers is to be determined given the circumference interval.

On this note, since the formula given is;

C = 3.14d.

By making d the subject of the formula;

d = C / 3.14.

Therefore, since the lower limit of the circumference is; 10.8 and the upper limit is; 11.1

The lower and upper limit of the diameter, d can be evaluated as follows;

lower limit of d is; d = 10.8 / 3.14 = 3.44

Upper limit of d is; d = 11.1 / 3.14 = 3.76

Therefore, the required interval for diameters of the washers is; 3.44 ≤ d ≤ 3.76.

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Answer:

Use mathcway its 2 ez with that page trust me bro

Step-by-step explanation:

No cap

5 10 okey espero te sirva

Answer:

$0.65

Step-by-step explanation:

Jose bought 750 bags for $375.00

Each bag cost $375/750= $0.50  

He  intends to sells them for $0.15 more

He should charge : $0.5 +$0.15=$0.65

Answer:

cost of 750 bags =$375

cost of 1 bag = 375/75=5

he want 0.15 more for each

so he had to sell each bag in 5 +0.15=5.15

Step-by-step explanation:

Answer:

what you are looking for is the exact form which is 71 over 12

I hope this helps you!

(p.s can I please have brainlyest?)

Step-by-step explanation

Exact form: 71/12

Decimal form: 5.916

Mixed number: 5 11/12

Answer:

Hindus from India invented zero to represent the idea of the power of the cosmos and universe as they expand into infinity. They called this the sunya which means empty in Sanskrit. The book Brahma Sphuta Siddhanta was published in c. 628 by Brahmagupta which defines zero as the subtraction of a number by itself, e.g. 5-5 =0.

Answer:

The answer is None.

Step-by-step explanation:

I took the test on FLVS and I got the answer right.

I hope this helps. I am sorry if you get this wrong.

Answer:

None. Say the obtuse angle is 100 degrees. Since the sum of all angles in a triangle cannot be bigger than 180, it's not possible because 195 (100+95) is greater than 180 degrees.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

4x+10+6x-10+2x=180°

4x+6x+2x=180°+10-10

12x/12=180°12

x=15° check :

4x+10+6x-10+2x=180° then x=15°

4*15+10+6*15-10+2*15=180°

60+10+90-10+30=180°

180°=180°

The equation representing the value of x is 12x + 20 = 180

A triangle is a polygon with three edges and three vertices.

Given that, a triangle having interiors angles,  2x, 4x + 10 and 6x - 10

We know that, the sum of the interior angles of the triangle = 180°

Therefore,

2x + 4x + 10 + 6x - 10 = 180°

12x + 20 = 180°

Hence, the equation representing the value of x is 12x + 20 = 180

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Explanation:

Angle E is 90 degrees. The segment DC = 53 is opposite this angle. Note how "DC" does not contain the letter "E". Furthermore, note how this is the largest side. So it's the hypotenuse.

The side ED = 28 is the opposite side of reference angle C, because "C" is nowhere to be found in the sequence "ED".

The side CE = 45 is the adjacent side because "E" is found in "CE".

The tangent ratio is...

tan(angle) = opposite/adjacent

tan(C) = ED/CE

tan(C) = 28/45

The mass of the fifth man is 153 kg.

The mean mass of five men is 76 kg.

The masses of four of the men are 72 kg, 74 kg, and 81 kg.

To solve this problem, we need to apply the concept of the mean of a set of data.

The mean is the average of all the values in a set of data.

It is calculated by adding up all the values and dividing by the total number of values in the set.

To find the mass of the fifth man, we need to use the mean of the entire set and the masses of the four men that are already given.

The formula to find the mean of a set of data is:

\(Mean = \frac{(sum of all the values)}{(total number of values)}\)

Let x be the mass of the fifth man.

Then we can write an equation using the given information:

\(Mean = \frac{(72 + 74 + 81 + x)}{5}\)

Substitute the given mean of 76 kg into the equation and solve for x:

\(76 = \frac{(72 + 74 + 81 + x)}{576 × 5} = 227 + x\)

Multiply both sides by 5:

\(380 = 227 + x\)

Subtract 227 from both sides:

\(153 = x\)

Therefore, the mass of the fifth man is 153 kg.

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The rate at which people enter the amusement park on that day is -226.08 people per unit time

The formula given is E(t) = 15600/(12 - 241 +160).

Simplifying the expression inside the parentheses, we get:

\(E(t) = 15600/(12 - 241 +160) = 15600/(-69)= -226.08\)

The given function E(t) represents the rate at which people enter an amusement park on a given day. Here, we are asked to find the value of E(t) for a given day, where the value of the expression inside the parentheses is 12 - 241 + 160.

By simplifying the expression inside the parentheses, we get -69. Substituting this value in the formula for E(t), we get -226.08 as the value of E(t) for that day.

the value of E(t) is negative, this means that the number of people leaving the park is higher than the number of people entering the park on that day.

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The solutions for the system of equations is the point (2, 2).

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given are two linear equations,

y = -x + 4 and

y = 2x - 2

First graph the lines.

For that, find two points on each equation and join them.

x = 0, then y = 4

y = 0, then x = 4

We have two points (0, 4) and (4, 0). Join these points to form the line.

x = 0, then y = -2

y = 0, then x = 1

We have two points (0, -2) and (1, 0). Join these points to form the line.

We have two equations, which are equal to each other.

-x + 4 = 2x - 2

-x - 2x = -2 - 4

-3x = -6

x = 2

y = -2 + 4 = 2

So the solution of the system of equations is the intersecting point of the two lines which is (2, 2).

Hence the solution of the system of equations is (2, 2).

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The approximate solutions to the equation is (0.655, -2.618)

From the question, we have the following parameters that can be used in our computation:

-2x

|-3 + 1| =

-2√x - 1

Express the equation properly

So, we have the following representation

-2x|-3 + 1| = -2√x - 1

This gives

-4x = -2√x - 1

Next, we split the equation

y = -4x

y = -2√x - 1

To solve graphically, we plot the equation and write out the point of intersection

Hence, the solution is (0.655, -2.618)

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Therefore , the solution of the given problem of equation comes out to be  9x^3 - 8x^2.

A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The equal sign is a crucial part of mathematical formulas, especially equations. Algebra is frequently utilized in equations. Algebra is used in mathematics when it is difficult to determine a precise quantity.

Here,

Polynomial function total

Polynomial functions are those that have a leading degree of three or higher. given the total;

(7x^3-4x^2)+(2x^3-4x^2)

Expand => (7x 3-4 times) + (2x 3-4 times)

= > 7x^3-4x^2 + 2x^3-4x^2

assemble similar terms

=> 7x^3 + 2x^3 - 4x^2 -4x^2

=> 9x^3 - 8x^2

Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.

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Answer: 40% of the fruit pieces are apples

Step-by-step explanation:

\(\frac{6}{15}\) = .4

.4 x 100% = 40%

Probability of drawing a white marble then a green marble would be 0. 133.

Probability that the person's guess will be less than 7 would be 60 %.

The probability of drawing a black marble then a red marble is 0. 117.

The total number of marbles is 8 (white) + 5 (red) + 6 (green) = 19 :

Probability of drawing a white marble = 8 / 19 ,

Probability of drawing a green marble = 6 / 19.

Probability of drawing a white marble then a green marble:

= ( 8 / 19 ) x ( 6 / 19 )

= 48 / 361

= 0. 133

The numbers less than 7 are 1, 2, 3, 4, 5, and 6. So, there are 6 such numbers.

The total numbers to choose from are 10. So, the probability that the person guesses a number less than 7 is:

Probability :

= 6 / 10

= 0.6

The total number of marbles initially is 5 (black) + 6 (green) + 8 (red) = 19.

Probability of drawing a black marble = 5 / 19.

Probability of drawing a black marble then a red marble:

= ( 5 / 19 ) x ( 4 / 9)

= 20 / 171

= 0. 117

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Answer:

2z^3 - 5z^2 + 4z - 1

Step-by-step explanation:

(2z - 1)(z^2 – 2z+ 1) =

= 2z^3 - 4z^2 + 2z - z^2 + 2z - 1

= 2z^3 - 5z^2 + 4z - 1

The polynomial in standard form will be 2z³ – 5z² + 4z – 1.

A polynomial expression is an algebraic expression with variables and coefficients.

The polynomial is given below.

⇒ (2z – 1)(z² – 2z+ 1)

Then the polynomial in standard form will be

⇒ (2z – 1)(z² – 2z + 1)

⇒ 2z(z² – 2z + 1)  – 1(z² – 2z + 1)

⇒ 2z³ – 4z² + 2z – z² + 2z – 1

⇒ 2z³ – 5z² + 4z – 1

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Answer:

56 (positive, not negative)

Step-by-step explanation:

she will pay off the debt from the original amount she owed using part of the $100. With the debt being payed off , the remainder will be $56.

in other words ;

100+54= 56.

Henceforth , the number 56.

thank you!

Hello,

\(z=\dfrac{X-69}{3.5} \\\\For\ X=72.5, \\\\z=\dfrac{72.5-69}{3.5} =1\\\)

Using table of a normal reduced law:

p(z≤1)=0.8413

Thus p(z≥1)=1-0.8413=0.1587

There are 80*0.1587=12.696 ≈13 (frogs)

Answer:

12 frogs

Step-by-step explanation:

Hello,

Using table of a normal reduced law:

p(z≤1)=0.8413

Thus p(z≥1)=1-0.8413=0.1587

There are 80*0.1587=12.696 ≈12 (frogs) you don't round up because you cant have .7 percent of a frog.

ps. I copy and pasted caylus's response but corrected their answer because it was correct except the rounding up part.