What is the sum
of the solutions to
x² - 7 = 6x?

Answer:

See below

Step-by-step explanation:

A vertical line is just x =

 so if   a = 1   b = 0    and c = 9     would be a vertical line through the point

   so you wind up with         x = 9

There are infinitely more possibilities, but the midpoint between 1/2 and 1 is 3/4.

what is fraction?

An element of a whole or, more broadly, any number of equal pieces, is represented by a fraction. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.

For any two numbers a and b, the average 1/2(a + b) is lies between them.

Here, the given two numbers are 1/2 and 1.

So, to find the fraction between 1/2 and 1 we can form the average:

1/2(1/2 + 1) = 1/2(3/2) = 3/4

Hence, the fraction that fit between 1/2 and 1 is 3/4.

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The set of ordered pairs that is a function is (c)  {(-2, -6), (-5, -6), (9, -2), (7, 3)}

The list of options represents the given parameter

As a general rule, for an ordered pair to be a function;

The y values on the ordered pair must point to different x values

In (a) the y values -1 and 7 have the same x value of 1

So, it is not a function

In (b) the y values -4 and -6 have the same x value of 3

So, it is not a function

In (c) all the y values have different x values

So, it is a function

In (d) the y values -5 and -1 have the same x value of -6

So, it is not a function

Hence, the ordered pair that is a function is (c)

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Answer:

The answer would be C. {(-2, -6), (-5, -6), (9, -2), (7, 3)\}{(−2,−6),(−5,−6),(9,−2),(7,3)}

Step-by-step explanation:

The thing to include in the response regarding the sampling include:

Sampling is the process of selecting the group from which you will collect data for your research. For example, if you want to know what students think at your university, you could survey 100 of them. In statistics, sampling allows you to test a hypothesis about a population's characteristics.

The act of deciding how many observations or replicates to include in a statistical sample is known as sample size determination. The sample size is an important aspect of any empirical study.

In this case, the sample size wasn't a true reflection of the customers.

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Equation that makes it easier to find the number of vertices in an Octahedron is V + F = 14 with 8 faces there are 6 vertices.

Given:

Octahedron has 8 faces

Let F be the faces of octahedron

Let V be the vertices of octahedron

we know that:

V + F = 14

Given F = 8 substitute

V + 8 = 14

V = 14 - 8

V = 6

Therefore Equation that makes it easier to find the number of vertices in an Octahedron is V + F = 14 with 8 faces there are 6 vertices.

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The number of candies bought = 10

The number of pretzels bought = 8

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

Let,

x = number of candies bought

y = number of pretzels bought.

The equations that describe the given problem are:

4.75 x + 3.5 y = 75.50..........(1)

x + y = 18

x = 18 - y.................(2)

Substitute equation 2 in equation 1,

4.75 (18 - y) + 3.5 y = 75.50

85.5-4.75y+3.5y=75.50

85.5-1.25y=75.50

1.25y=85.5-75.50=10

y=8

Substitute y=8 into x = 18 - y.

x=18-8=10

The number of candies bought is 10, and the number of pretzels bought is 8.

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The formula for d is d = v/√48

What is a formula?

In science, a formula is a compact manner of symbolically describing information, such as a mathematical formula or a chemical formula. In physics, the phrase formula refers to the general construct of a connection between given quantities. In mathematics, a formula is an identity that equates one mathematical statement to another, the most significant of which are mathematical theorems. A formula (also known as a well-formed formula) is a logical object that is produced utilizing the symbols and formation rules of a specific logical language. For example, calculating the volume of a sphere necessitates extensive use of integral calculus or its geometrical equivalent, the method of exhaustion.

The equation is given as v= √48d

Hence, the formula for d is, d = v/√48

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The probability that the next consumer will use cash as payment is 85/106

85 customers made cash payments.

5 customers used debit cards in total.

16 customers used credit cards in total.

The probability that the following consumer will make a cash payment must be calculated as a fraction in its simplest form.

Total clients: 85 + 5 + 16 = 106

There were 85 successful outcomes (Customers who paid cash)

Therefore, the probability will be: =85/106 = 0.801

Therefore, the probability that the following customer will pay with cash is 85/106.

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Answer:

≈ 80%

Step-by-step explanation:

Based on these results, express the probability that the next customer will pay with cash as a percent to the nearest whole number.

85 cash, 5 debit card, and 16 credit card.

85+5+16= 106

There were a toal of 106 customers. 85 paid with cash.

Probability the next customer will pay with cash:
85/106= 0.801886...

0.801886... ×100% ≈ 80.1887%

≈ 80%

For the parent function y = x, the equation of the line has a negative y-intercept and a positive slope will be y = mx + c where c < 0 and m > 0.

What is the slope-intercept form of a line?

When you know the slope of the line to be examined and the point given is also the y-intercept, you can use the slope-intercept formula y = mx + b. (0, b). The y value of the y-intercept point is represented by b in the formula.

For the given parent function y = x.

Comparing with the slope-intercept form y = mx + c, we get

                slope(m) = 1, and the y-intercept is c = 0;

So we can make one line such that it has a negative y-intercept and a positive slope.

                              y = mx + c, where c < 0 and m > 0.

Hence, for the parent function y = x, the equation of the line has a negative y-intercept and a positive slope will be y = mx + c where c < 0 and m > 0.

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Answer:

y = -1/4(x-1)

Step-by-step explanation:

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])  From the point given [tex]y_{1}[/tex] = 0 and [tex]x_{1}[/tex] = 1

m = slope -1/4  Plug these in and get

y - 0 = -1/4(x - 1)       y-0 is just y

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$40\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &4 \end{cases} \\\\\\ 40 = (500)(\frac{r}{100})(4) \implies 40=20r\implies \cfrac{40}{20}=r\implies \stackrel{\%}{2}=r[/tex]

The 30% of the students withdraw, then, the expected number of withdrawals is the 30% of 20 which is 6.

acc to our question-

hence,The 30% of the students withdraw, then, the expected number of withdrawals is the 30% of 20 which is 6.

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Answer:

x^2(3x-2) cubic inches OR in^3

OR

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

I AM UNAWARE IF YOU ASKED THAT ONE SIDE IS (3X-2) OR ALL. I WILL ANSWER BOTH PARTS

-

NOTE: '^' MEANS TO THE POWER OF..

-

Volume = v, abc = 3 sides of cube (height, width, length)

Using the formula for volume in a cube,

[tex]v = abc[/tex]

We can solve this.

If one side is (3x-2)in,

x^2(3x-2) cubic inches OR in^3

If all sides are (3x-2)in,

Use the formula,

[tex](a - b) ^{3} = {a}^{3} + 3ab(b - a) - {b}^{3} [/tex]

We can solve this.

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

___

If you have any questions regarding formulas or anything, comment and I will get back to you asap.

___

Answer:

  perimeter = 16 ft

Step-by-step explanation:

You want the perimeter of an isosceles triangle with side length 5 ft and altitude 4 ft.

The side lengths being equal mean the triangle is isosceles. That also means altitude PS bisects the peak angle and segment QR. Once we find the length QS using the Pythagorean theorem, we can double that measure to find QR.

The Pythagorean theorem tells us ...

  QS² +PS² = QP²

  QS² +(4 ft)² = (5 ft)²

  QS² = (25 ft²) -(16 ft²) = 9 ft² . . . . . evaluate squares, subtract 16 ft²

  QS = √(9 ft²) = 3 ft

Now we know the base length is ...

  QR = 2·QS = 2(3 ft) = 6 ft

The perimeter is the sum of the outside edge lengths:

  Perimeter = PQ +QR +RP

  Perimeter = (5 ft) +(6 ft) +(5 ft) = 16 ft

The perimeter of ∆PQR is 16 feet.

__

Additional comment

With some practice, you can learn to recognize a 3-4-5 right triangle. That is the triangle used here for each of the right triangles that make up ∆PQR. Once you identify the long side as 4 and the hypotenuse as 5, you know immediately the short side is 3.

The set {3, 4, 5} is called a "Pythagorean triple." Other triples commonly seen in high school problems are {5, 12, 13}, {7, 24, 25}, {8, 15, 17}. Legs of these lengths form a right triangle. Knowing any two (or their ratio) tells you immediately the value of the third. Of course, these triples can be scaled by any factor. (3, 4, 5) scaled by 2 is (6, 8, 10), another commonly seen triple.

There are no isosceles right triangles that have integer values for both the legs and the hypotenuse. If the legs are both 4, the hypotenuse will be 4√2 ≈ 5.657... (an irrational number), not 5.

The 99% confidence interval for the population proportion of printers that are used in small businesses, using the z-distribution, is of:

(0.2743, 0.5493)

A confidence interval of proportions has the bounds given by the equation presented next:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

(the critical value can be found either with the z-table or with a z-distribution calculator).

The sample size and the estimate are listed as follows:

[tex]n = 85, \pi = \frac{35}{85} = 0.4118[/tex]

The lower bound of the interval is obtained as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4118 - 2.575\sqrt{\frac{0.4118(0.5882)}{85}} = 0.2743[/tex]

The upper bound of the interval is obtained as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4118 + 2.575\sqrt{\frac{0.4118(0.5882)}{85}} = 0.5493[/tex]

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Answer:

When x = 3, y = 6,

[tex][3(3)- 12]-[(\frac{1}{2}(3)(6)) -10] = (9-12)-(9-10)[/tex]

                                             [tex]= (-3)-(-1)[/tex]

                                             [tex]= -3+1[/tex]

                                             [tex]=-2[/tex]

Answer: (3/4c*d*d)

Step-by-step explanation:

First, get rid of the denominator by multiplying the numerator by it.

so d*d*d*4c*.

Then now its 3d/d*d*d*4c, you can eliminate a d from the numerator and denominator, and now it's (3/4c*d*d)

Answer:

RT

Step-by-step explanation:

Hypotenuse is the greatest and since it is obtuse, it will be even longer.

Answer:

RT is the longest segment.

Step-by-step explanation:

If Angle S is 92°, then AngleR and AngleT are both acute angles. So AngleS is the biggest angle, so the side opposite AngleS is the biggest side. RT is the side opposite from AngleS. RT is the biggest side.

Answer:-5/4

Step-by-step explanation:

the slope is the number next to the letter X.

I may be incorrect.

Answer: 33.333333333333%

Step-by-step explanation:

The difference is 1/3. Twelve by three is four. Nine by three is three. The different from 9 to 12 is 1/3.

Answer:

64

Step-by-step explanation:

The length of AD is 8.58 units

Here triangle CDE and triangle CAB are similar triangles.

We know that the corresponding sides of similar triangles are in proportion.

CD/CA = CE / CB = DE/AB

Consider, CD/CA = DE/AB

15/(15 + x) = 7/11

15 * 11 = 7 * (15 + x)

165 = 105 + 7x

7x = 165 - 105

7x = 60

x = 8.58 units

Therefore, the length of AD is 8.58 units

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The triangle which are similar to ABC are:

The connecting of three non-collinear points results in a triangle, which is a three-sided closed-plane object. Triangles can be classified into three categories based on their side properties: equilateral, scalene, and isosceles.

We know that the when we sum all the interior angles of a triangle, we get 180°.

Given that, A triangle ABC has ∠A = 35° and ∠B = 20°.

∴ ∠C = 180° - 35° - 20°.

∠C = 125°.

Triangle will be similar if every corresponding angle of different triangles has the same measure. So, Triangles that are similar to triangle ABC is triangle DEF where ∠D is 35° and ∠E is 20° and triangle JKL where ∠J is 35° and ∠L is 125° and triangle MNO where ∠N is 20° and ∠O is 125°.

Therefore, triangle DEF, JKL and MNO are similar to triangle ABC.

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The given question is incomplete. Here is the complete Question:

The greatest number of 40-kilogram crates is 517.5.

From the question, we have

Weight of the crate = 40 kg

Greatest weight that the container can load = 25500 kilograms

Weight of the other shipments on the container = 4800 kg

So the greatest number of 40 kg crates = c

Therefore, the weight of the other shipment + weight of crate x number of crates ≤ greatest weight of the container

4800 + 40c ≤ 25500

40c ≤ 25500 - 4800

40c ≤ 20700

c ≤ 517.5

Hence, the greatest number of 40-kilogram crates is 517.5.

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.

The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

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Answer:

y = -1/2x + 4

Step-by-step explanation:

Use the slope formula (change in y divided by change in x) to find the slope. (-1/2). Then pick one of the points and plug it back into the new equation using -1/2 as your slope.

Joseph left 469 ounces of candy, according to the given question.

What do you mean by candy?

A sugar-based confection that frequently contains filling and flavoring: a slice of such a confection is called candy. Something that has a lighthearted or frivolous appeal and visual delights.

According to data in the given question,

We have:

Total ounces of candy = 714

Number of candy he shared = 245

Now, we need to determine the candy he has left,

= Total number of candy - Number of shared candy

= 714 - 245

= 469

Therefore, he left 469 ounces of candy.

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The system of equations to find the smallest number of buses the orchestra can rent will be b + v ≤ 6 and 25b + 12v ≥ 111.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Given that,  Six of the orchestra's 111 musicians hold driving licenses for big, multi-passenger vehicles. 25 people can fit on a bus, but renting one is far more expensive. 12 persons can fit in a passenger van.

The system of equations to find the smallest number of busses the orchestra can rent is,

The total number of buses :

b + v ≤ 6

The total number of passengers.

25b + 12v ≥ 111 - - - - (2)

Thus, the system of equations to find the smallest number of buses the orchestra can rent will be b + v ≤ 6 and 25b + 12v ≥ 111.

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The size of the garden That Brian need to grow 20 carrots at a time is 5 square feet

The size of the Brian's garden in square feet = x

The number of carrots that he can grow at a time = y

The equation that models the relationship is

y = 4x

The means the number of carrots that he can grow at a time is directly proportional to the size of the Brian's garden,

The number of carrots that he need to grow = 20 carrots

Substitute the values in the equation and find the value of x

20 = 4x

The size of the garden x = 20/4

= 5 square feet

Hence, the size of the garden That Brian need to grow 20 carrots at a time is 5 square feet

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