the quotient of 5+h and n+3

Answer:

The solution of (2,5) indeed equals the solution of the equation y=2x+1

Step-by-step explanation:

to solve just plug in the values.

y=2(2)+1 which gives us the y value of y=5

to solve for x, plug in y. 5=2x+1.

subtract 1 from both sides, and you get 4=2x

then divide 2 on both sides to get x, which is 2. therefore this is true.

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Answer:

I play Far Cry, mechanic sim, and Subnautica on ps4

Step-by-step explanation:

Answer:

Solution:

\(\frac{\left(y-1\right)^2}{9}-\frac{\left(x+4\right)^2}{4}=1\)

Step-by-step explanation:

We have the general equation for our up - down facing hyperbola as (y - k)² / b²- (x - h)² / a²  = 1. Let's start listing the properties of this graph -

• Taking a look at the graph we see that the center point of our hyperbola here is (- 4, 1). Therefore (h, k) = (- 4,1).

• Another thing here is our key value a. This is the semi distance from the center to one of the vertices. Here it will be the distance from points (- 4,1) and (- 4,4) or 3 unit difference. Therefore a = 3.

• That leaves us with our asymptotes. Now remember that it will be in the form y = ± b / a. We already know a = 3, so we have to find b. Looking at this graph I can say that another point besides (- 4,1) that lies on the " dotted line " is (- 2, - 2). Calculating the slope of the dotted line would be as follows,

Given: (- 4,1) and (- 2, - 2)

Slope = - 2 + 4 / - 2 - 1 = 2 / 3

We have the equation y = 2 / 3x. Therefore b = 2. Let's substitute to receive our equation...

h = - 4, k = 1, b = 2, a = 3

(y - 1)² / (3)²- (x + 4)² / (2)²  = 1

(y - 1)² / 9 - (x + 4)² / 4  = 1 ~ your solution is the last one, option d

Answer:

$4462.50

Step-by-step explanation:

simple interest =principal × rate × time\100

Step-by-step explanation:

To solve the equation, factor x

2

+x−56 using formula x

2

+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=1

ab=−56

Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −56.

−1,56

−2,28

−4,14

−7,8

Calculate the sum for each pair

−1+56=55

−2+28=26

−4+14=10

−7+8=1

The solution is the pair that gives sum 1.

a=−7

b=8

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−7)(x+8)

To find equation solutions, solve x−7=0 and x+8=0.

x=7

x=−8

Answer: Your answer would be $168,750

First you need to get 5% of 75,000 which is 3750

Next you have to mutiply 3750 by 25 because 1980 to 2005 is 25 years.

Which will give you 93,750

Then you add 93,750 with 75000 which is what it got sold for and your answer will be $168,750

The coordinate of the point S' after the rotation of quadrilateral RSTU is; S'(2, 3)

A rotation is defined as a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise.

Now, we are told that the image RSTU is rotated 180 degrees and looking at the 3 new coordinates formed, we see that the rotation rule is as follows;

T(-2, 1) → T'(-2, 1)
U(-2, -5) → U'(-2, -7)

R(-6, -5) → R'(2, 7)

Now, it is pertinent to note that in rotation, the length of the sides remain the same and that is why we see that TU and T'U' are both 6 units in length.

Similarly, RS is 4 units in length and as such R'S' must be 4 units in length. When we count 4 units down from R', we will get the point S' which has the coordinate (2, 3). Thus, we have;

S(-6, -1) → S'(2, 3)

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Answer: Each transversal crossing a line generates 2 pairs of vertical angles and for 3 transversal crossing the same line it will be 3 x2 = 6 pairs (or 12 angles)

Step-by-step explanation:

(●'◡'●) ^_^

The measure of angle x is 77 degrees.

We have two angles given: 65 degrees and 38 degrees. Let's call the measure of angle x as "x".

From the information, we have the measure of the missing angle of the angles in a triangle are 38°, 65° and x. Then we can set up an equation:

x + 65 + 38 = 180 (the sum of the measures of the angles in a triangle is 180)

Simplifying this equation, we get:

x + 103 = 180

x = 77

Therefore, the measure of angle x is 77 degrees.

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Complete question

Find the measure of the missing angle of the angles in a triangle are 38°, 65° and x.

Answer:

Step-by-step explanation:

Solve 3-4 and (1⁄2)-2

3 - 4, 4 is greater than 3, so the result is negative (-1)

3 - 4 = -1

-----------------

1/2 is equal to 0.5, also here 2 is larger and we will have a negative result (-1.5 or -3/2)

1/2 - 2 =

0.5 - 2 = -1.5 or -3/2

Answer:

x3 - 2x2 - 4x - 10

         x      

Step-by-step explanation:

i think

Answer:

97

Step-by-step explanation:

(a - 48) + a = a + 49

2a - 48 = a + 49

a = 97

We can do this because the angles of a triangle all add up to 180 and 2 angles of a line add up to 180.

Answer:

2 2/3

Step-by-step explanation:

we know that the kg in each bag is 2 2/3

Answer:

$1620

Step-by-step explanation:

We know

Olivia sold a car valued at $54000. Her rate of commission is 3%.​

3% = 0.03

Calculate Olivia's commission from the sale if her commission rate is 3%.​

We take

54000 x 0.03 = $1620

So, Olivia's commission is $1620

The initial velocity = vi = 6m/s

The final velocity = vf = 16 m/s

The total time = t = 20 seconds

The rate of change in velocity is called acceleration (a) that can be written as:

or

Put the values in the equation to get the value of 'a'.

or

hence, the value of a is 1/2.

The approximate P-value for this test is D. 0.01267.

From the information, Mrs. Peterson claims to produce random numbers from 1 to 5 (inclusive) on her calculator, but you've been keeping track. In the past 80 selections, the number "five" has come up only 8 times.

The p(cap) will be:

= 8 / 80

= 0.1

The z score will be:

= (0.1 - 0.2) / (✓0.2(0.8)/80

= -0.1 / ✓0.0019

= -2.236

= -2.24

By using the distribution table after getting the z score, the p value is 0.01267.

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In the given square ABCD, the value οf x will be 7 and the value οf DE will be 39.5.

A pοlygοn with fοur edges, fοur angles, and fοur vertices is called a quadrilateral. The Latin terms quadri, which means fοur, and latus, which means side, were cοmbined tο create the English wοrd quadrilateral.

A square is a regular quadrilateral with fοur equal-length edges and fοur equal-length angles. The square's edges are at a right angle οr 90 degrees. The square's diagοnals are alsο prοpοrtiοnate and split at a 90 degree angle. A rectangle with twο οppοsite edges that are the same length can alsο be referred tο as a square.

A diagοnal is a line segment that jοins twο οppοsing pοlygοnal pοints (οr cοrners). In οther terms, a diagοnal is a line segment that jοins twο pοlygοnal vertices that are nοt adjacent tο οne anοther. It cοnnects a pοlygοn's vertices, excluding the figure's sides.

In this questiοn,

Since in a square, diagοnals are equal tο each οther,

AC=BD

2x-5=7x=30

5x=30

x=7

Alsο, in a square the diagοnals bisect each οther,

Therefοre,

DE=1/2 οf BD

DE= 1/2(7x+30)

Substituting value οf x,

DE=79/2

DE=39.5

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Answer:

$5,362.50

Step-by-step explanation:

3.25% = 0.0325

165000 x 0.0325 = 5,362.50 dollars

Answer:

$5,362.50

Step-by-step explanation:

the derivative of function g(x) = \(3(x^3-6)^2(x^2 + 4x - 6)^{10} is:g'(x) = 3 * [2(x^3-6)(3x^2)(x^2 + 4x - 6)^{10} + (x^3-6)^2 * 10(x^2 + 4x - 6)^9(2x+4)]\)

To differentiate the function\(g(x) = 3(x^3-6)^2(x^2 + 4x - 6)^{10}\), we can use the chain rule and the power rule for differentiation.

Let's break it down step by step:

1. Start by differentiating the outermost function with respect to x. The outermost function is\((x^3-6)^2(x^2 + 4x - 6)^{10}\), which we'll call f(x). Let's denote it as \(f(x) = (x^3-6)^2(x^2 + 4x - 6)^{10}.\)

2. Differentiate f(x) using the product rule. Let's call the first factor (x^3-6)^2 and the second factor \((x^2 + 4x - 6)^{10}\). The derivative of f(x) is given by:

\(f'(x) = (2(x^3-6)(3x^2)) * (x^2 + 4x - 6)^{10} + (x^3-6)^2 * (10(x^2 + 4x - 6)^9(2x+4))\)

3. Simplify the expression:

\(f'(x) = 2(x^3-6)(3x^2)(x^2 + 4x - 6)^{10} + (x^3-6)^2 * 10(x^2 + 4x - 6)^9(2x+4)\)

4. Finally, substitute f(x) back into the expression to obtain the derivative of g(x):

g'(x) = f'(x) * 3

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So we can plot the graph of the function f(x) = x⁴ - 3x³ + x - 3 by plotting the points,  (1, - 4), (- 1, 0), (- 2, 35), and (2, - 9) on the graph.

A diagram or pictorial representation that organizes the depiction of data or values is known as a graph.

The relationships between two or more items are frequently represented by the points on a graph.

Given,

We have a polynomial function f(x) = x⁴ - 3x³ + x - 3.

Now, we can assume some arbitrary values for "x" that correlate to some alternative values of "y" in order to graph this bi-quadratic polynomial.

At, x = 1, f(x) = (1)⁴ - 3(1)³ + (1) - 3 = - 4.

Similarly, At x = - 1, f(x) = 0.

Now, At = x = - 2, f(x) = 35.

Again at x = 2, f(x) = - 9.

Therefore, the coordinate points are, (1, - 4), (- 1, 0), (- 2, 35), and (2, - 9).

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Answer:

Now we may draw the graph of the function f(x) = x4 - 3x3 + x - 3 by connecting the points (1, - 4), (- 1, 0), (- 2, 35), and (2, - 9).

At, x = 1, f(x) = (1)⁴ - 3(1)³ + (1) - 3 = - 4.

Similarly, f(x) Equals 0 for x = -1.

Hence, f(x) = 35 when At = x = -2.

With x = 2, f(x) = -9 once more.

Step-by-step explanation:

Brainliest pls!

There are 6 numbers between 1 and 10,000 with the digits 1, 3, and 5, where each digit appears exactly once.

To determine the number of numbers between 1 and 10,000 that have the digits 1, 3, and 5, with each digit appearing exactly once, we can consider the following:

The first digit can be either 1, 3, or 5 (3 options).

The second digit can be any of the remaining two digits (2 options).

The third digit can be the last remaining digit (1 option).

The fourth digit can be any of the remaining 7 digits (7 options).

Multiplying these options together, we get 3 × 2 × 1 × 7 = 42 possible numbers. However, since the number should be between 1 and 10,000, we need to exclude the possibility of having a leading zero. Therefore, the correct answer is 42 - 1 = 41 numbers.

So, there are 41 numbers between 1 and 10,000 that have the digits 1, 3, and 5, where each digit appears exactly once.

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Answer:

-7

Step-by-step explanation:

y-intercept

x=0

y-3= -2x-10

y=2(0)-10+3

y=0-7

y= -7

(0;-7)

Answer:  

-7

Step-by-step explanation:

The amount of 20% and 50% solution that Samantha needs to mix is 70 milliliters and 30 milliliters respectively.

Let the amount of 20% solution that Samantha needs to mix be x millileters.

Therefore, the amount of 50% solution Samantha needs to mix will be (100 - x) millileters.

According to the question, Samantha needs to create 100 millileters of a 29% solution.

The expression below can be used to calculate the volume of the mixture obtained after mixing x milliliters of the 20% solution and (100 - x) milliliters of the 50% solution:

0.20x + 0.50(100 - x) = 0.29(100)

Simplifying and solving for x:

0.20x + 50 - 0.50x = 29

x = (29 - 50) / (-0.30)

x = 70 milliliters

Therefore, the amount of 20% solution that Samantha needs to mix is 70 milliliters.

And, the amount of 50% solution that Samantha needs to mix is 30 milliliters.

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Answer:

Step-by-step explanation:

The sides containing the given angles 37 and 84 are of same length:

one side is marked same, the second side is common.

The sides opposite angles of 37 and 84 are proportional to those angles, therefore:

The first part:

The second part:

Combination of the two is:

The triangles are isosceles, because:

The angles between equal sides

Left triangle:

Right triangle:

Since 40° < 48°, the opposite sides will have same inequality due to being proportional to angles:

Same time we know the side must be a positive number:

So the possible values of x are:

Answer: 1/3

Step-by-step explanation: The ratio of multiplication problems to total problems is 12:36, which can be simplified to 1:3.

Answer:

A

Step-by-step explanation:

Hi there.
We know this math exam has 12 multiplication and 24 division problems, making the overall exam questions 36 problems. (12+24=36)

The ratio is the fraction equivalent comparison between two variables. In this case, it's multiplication problems over total problems.

We know multiplication problems as 12, and we calculated the total, which is 36.

The answer would be 12/36; but it's divisible by 12 and can be further simplified to 1/3.

Answer:

y=1/5x-3

Step-by-step explanation:

Start by finding the slope:

Slope = (y₂-y₁)/(x₂-x₁)

Now we plug in the coordinates:

Slope = (12-(-3))/(-3-0)=(12+3)/(-3)=15/-3=-5

The slope intercept equation would be

y=mx+b

Slope is m and y-intercept is b. x and y and the x and y-coordinates.

Now we plug in one of the x and y coordinate pairs into the equation:

-3=-5(0)+b

b=-3

So the equation of the line would be

y=-5x-3

But the slope of a perpendicular line is the negative reciprocal of the original equation

So...

y=1/5x-3

She can cover 8 chests every 4 hours

The ratio is

We need to find how many chests she can cover in 6 hours

We will use the equivalent ratio to solve it

Where x is the number of chests

Use the cross multiplication

Divide