Which is the slope of the line that passes through the points (4, 2) and (6, 7)?

Answer:

\(2x^{2} +13x-45\)

Step-by-step explanation:

By using FOIL method.

Answer:

8 hours

Step-by-step explanation:

Answer:

bjhmiukjgjhkuijkl

Step-by-step explanation:

they expect to discard everyday 288.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, given that,

they must discard 3 out of 100 wheels because they are defective.

the factory produces 1200 wheels per hour in each 8 hr day.

total per day = 9600

so, they expect to discard everyday =9600 * 3%

                                                            =288

hence, they expect to discard everyday 288.

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Answer:

Step-by-step explanation:  85 students and 80 adults        

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

V=3053.6

Step-by-step explanation:

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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Answer:

Step-by-step explanation:

x+y = 8

y = 8-x

xy = 17

x(8-x)  = 17

8x - x² = 17

x² - 8x + 17 = 0

Quadratic formula

x = [8 ± √(8² – 4·1·17)] / [2·1]

 = [8 ± √(-4)] / 2

 = [8 ± 2i] /2

 = 4±i

x = 4+i

y = 4-i

A quadratic equation is written in the form of ax²+bx+c. The two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Let the first number be 'a' and the second number be 'b'. Therefore, the sum of the two numbers is,

a+b=8

The product of the two numbers is,

ab=17

b=17/a

now, the equation can be written as,

a+b=8

a+(17/a)=8

a² + 17 = 8a

a²-8a+17=0

a = 4±i

Hence, the two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

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Answer:

Quadrant 2, x-axis

Step-by-step explanation:

Point C is on top left side of the x-y graph, which is quadrant 2.

An axis refers to line, so the x axis the is horizonal line, as it says on the right end of it.  The y axis is the vertical line, noted at the top of the line.

The only line that's on a line is point D and it's on the x-axis.

The parametric equations are therefore: x is t, y is 1/3 * t, and z is t.

Response: x = t; y = 1/3; t; z = t

Given

At t = 0, r(t) equals f(t) * I + g(t) * j + h(t) * k.

(F (t0), G (t0), and H (t0))

r(t) = ln (t - 1) + (t + 2) * j + t * ln(tk) t * t * 0 = 1 Required Information is Missing

Calculate the parametric equations.

j + t * ln + (t - 1)/(t + 2) * ln + r(t) = ln(ti) (tk)

With regard to t, differentiate (t) = 1/t * I + 3/((t + 2) 2) * j + (ln(t) + 1) Let t=1 (i.e., e * t * t * 0 = 1)

r = 1/1 for prime (1). * I + 3/((1 + 2) ^ 2) * j + (ln(1) + 1) I + 3/(3 2) * k r prime (1) * j + (0 + 1) Prime (1) = I + 3/9 * K R * j + (1) (1) Prime (1) = I + 1/3 * j + * k r (1) I + 1/3 * j + k = * k r prime (1)

To find x, y, and z.

We utilise the following methods to find x, y, and z: r(t) = f(t) (t) * j + h (t) * k + I + g (t)

This suggests that:

prime r (1) * T = xi, yj, and zk

We therefore have:

I + 1/3 * j + k) = xi + yj + zk * t

it + 1/3 * jt + kt = xi + yj + zk.

In contrast:

xi = it

Divide by I x, y, and j to get 1/3 * jt.

Divide by j y = 3/9 * t zk = kt

Divided by k, z equals t.

The parametric equations are therefore: x = t, y = 1/3 * t, and z = t.

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Answer:

40%

Step-by-step explanation:

The numbers that are not even are 5 and 7.

2 numbers out of 5.

2/5 = 0.4

P(not even) = 40%

Answer:

\(40\%\)

Step-by-step explanation:

5 and 7 are not the numbers

There are 5 numbers in the spinner

\(p = \frac{2}{5} \\ = \frac{2 \times 20}{5 \times 20} \\ = \frac{40}{100} \\ = 40\%\)

Answer: #5 = -3    #6 =  0, there is no x

Step-by-step explanation:  #5 -   first you have to turn it into slope-intercept form. So, 3y+12=-9x will become y= -3x -4 because you divide all sides by 3 and you transpose 12 so it becomes negative... then you will pick out you slope which is the number in front of x so slope = -3

#6 - the slope is zero because there is no x in that equation.

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

The average rate of change for this function for the interval from x=2 to x=4 is B. 27.5.

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.

A method that determines the amount of change in one item divided by the corresponding amount of change in another is known as an average rate of change function.

For this special case from the info in the table, we have:

a = 2, f(2) = 9

b = 4, f(4) = 64

And replacing the data into the average rate formula we got:

m = 64-9/4-2 = 27.5

Thus, the correct option is B. 27.5.

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Answer:

6

Step-by-step explanation:

7×6=42 so 6 is x so this is your answer

Answer:

-6 or 6

Step-by-step explanation:

7x|x|=42 (divide both sides)

|x|=6 (separate into possible cases)

x=6

x=-6  (the equation has two solutions)

hope this helps!

Answer:

Your pay rate would be $7 per hour

Your friend's rate is $9 per hour

Step-by-step explanation:

To get the answer for your pay rate you'll have to divide 56/8 and then you'd  get your number 7, so you get $7 dollars per hour.

To get the number for your friends pay rate you'd also do the same thing, divide. 36/4 gives you the number 9, so your friend gets $9 dollars per hour.

~PLZ give brainliest only if this is correct, thx!~

The inequality relation  -q > -7  can be represented in the form of q as q < 7

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be A

The value of A is - q > - 7

Now , multiplying by (-1) on both sides of the equation , we get

( -1 ) ( -q ) > ( -1 ) ( - 7 )

The inequality relation will change the sign from > to < and ,

q < 7

So , the value of the inequality relation A is q < 7

Now , all the values in the number line which satisfy the inequality equation q < 7 are given in set A

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

Hence , The inequality relation  -q > -7  can be represented in the form of q as q < 7 and numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

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Answer:

-8 ≤ y ≤ 7

Step-by-step explanation:

Answer:

H= -35/4

Decimal form: -8.75

Explanation:

Answer:

Its C boys

Step-by-step explanation:

I graphed all of them and compared

The equation that could represent the graph of the parabola is (c) \(y = -2x^2 - 16x- 28\)

From the question, we have the following highlights

The second highlight above means that:

The x coordinate (h) of the vertex is negative, while the y-coordinate (k) is positive.

For a parabola: \(y = ax^2 + bx + c\), the vertex is:

\((h,k) = (-\frac{b}{2a},f(h))\)

Next, we test the options

(a) y = –2x2 + 3x – 5

We have:

\(h = -\frac{3}{-2 \times 2}\)

\(h = 0.75\)

The value of h is positive.

So, this cannot represent the parabola

(b) y = –2x2 – 4x – 2

We have:

\(h = -\frac{-4}{-2\times 2}\)

\(h = -1\)

Substitute -1 for x in the function

\(k = -2x^2 - 4x - 2\)

\(k = -2(-1)^2 - 4(-1) - 2\)

\(k = 0\)

The value of k cannot be 0

So, this cannot represent the parabola

(c) y = –2x2 – 16x– 28

We have:

\(h = -\frac{-16}{-2\times 2}\)

\(h = -4\)

Substitute -4 for x in the function

\(k = -2x^2 - 16x- 28\)

\(k = -2(-4)^2 - 16(-4)- 28\)

\(k=4\)

The x coordinate (h) of the vertex is negative, while the y-coordinate (k) is positive.

Hence, \(y = -2x^2 - 16x- 28\) could represent the parabola

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Answer:

B. Ordinal

Step-by-step explanation:

The level of measurement used for a variable in statistical analysis determines what summary statistics and analysis are possible. In statistical analysis, we have three types of level of measurement.

Nominal , Ordinal  , Interval/ Ratio

The nominal is the most basic level of measurement. It is the  qualitative level of measurement such as color or number.  Data in Nominal scale of measurement are  stored as a word or  as numerical code.

Ordinal level of measurement  are variables based on ranks or hierarchy. Ordinal level of measurement posses a sequential step-wise order but the intervals between the variables are not  equal. They are usually expressed in frequencies.

Therefore, the level of measurement of variable that determines the livability rankings for cities based on their ranks or hierarchy is Ordinal.

The interval/ratio level of measurement  is the highest  level of measurement where  data are  being measured and ordered in a sequential process.

Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

Answer:

120

Step-by-step explanation:

Sold = 36

remaining = x - 36

Evening = 2/7 × (x - 36)

(2x - 72)/7

36 + (2x - 72)/7 = x/2

2x + 180)/7 = x/2

4x + 360 = 7x

4x - 7x = -360

x = 120

Step-by-step explanation:

Let's solve the given questions step by step:

1. Determine the equation of f:

From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:

f(x) = a(x + p)^2 + q

Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:

4 = a(1 + p)^2 + q

This gives us one equation involving a, p, and q.

2. Determine the equation of g:

The equation of g is given as g(x) = 0.3x + p1.

3. Determine the coordinates of the x-intercept of g:

The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.

Setting g(x) = 0, we can solve for x:

0 = 0.3x + p1

-0.3x = p1

x = -p1/0.3

Therefore, the x-intercept of g is (-p1/0.3, 0).

4. For which values of x will f(x) ≥ g(x)?

To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.

f(x) = a(x + p)^2 + q

g(x) = 0.3x + p1

We need to find the values of x for which f(x) ≥ g(x):

a(x + p)^2 + q ≥ 0.3x + p1

Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.

To summarize:

We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).

Answer:

it is D trust me

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

the way you can figure this out is by looking at the figures and finding what transformation came first because of the number of prime notations on a letter in a figure. in this case is was ABC first then A'B'C' then A''B''C''

using that we can now determine the order of how the composition will be written. the first step of the composition is the left most part and the last part of the composition is the right most part. basicly the order is left to right.

we see that figure ABC is reflected across the line m to create the figure A'B'C' relections are written like r for the relection and the sub letter is the line the figure is reflected across to in this case it would be written as r sub m meaning that r sub m is the 2nd part of the composition.

the 2nd step in the composition is when figure A'B'C' turns into figure A''B''C'' the way we find out its transformation is determine whether it was slid or if it was rotated aroound a point of rotation. here we have a rotation. now we got to determine what the center of roation is. in this case its B'. looking at the options there is no negative -90 degrees which means that the rotation happened counter clockwise because all valuse are positive. counter clockwise is to the left. now simple math figure A'B'C 180 degrees would make it need 90 more degrees so 180+90=270 thats the degree of the roation around point B'

rotations are written as R sub point of rotation, __ degrees. in our case it is r sub B', 270 degrees. this is the second step so it will be on the right of the equation.  the full equation turns out to be R sub B', 270 degrees composition of transformations r sub m.

it must be that way because if you rotated the figure first then reflected it it would look like an entirely different image.

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When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.

Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.

The equation is given as y = 1/2(x) - 25

When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25

This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)

On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.

Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.

In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).

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The table that can be constructed with the following equation has vales x: 0, 1, 2, 3 and y = 0, 8, 16, 24.

When the greatest power of the variable is consistently 1, an equation is considered to be linear. A one-degree equation is another name for it. The typical form of a linear equation with one variable is Ax + B = 0.

The slope of the linear relationship is eight. The solution is below, along with a picture of the line.

Substitute different values of x to obtain value of y:

The table is given below:-

x  I  y

-------

0  I  0

1  I  8

2  I 16

3  I 24

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The complete question is:

Answer:

-320 i guess

Step-by-step explanation:

51*-2*3-21+7=-320

Answer:

5=x

Step-by-step explanation:

Q=2(2x-5)=3x+x-2x

SOLUTION:

4x-10=4x-2x

-10=2x-4x

-10= -2x

(-+-=+ so 10 and 2 are positive now)

10/2=x

5=x