Solve the formula Ax+ By = C for x

The quartic function with only two real zeros of x=0 and x=4 is x² - 4x = 0

A quartic function is a quartic polynomial, that is, a polynomial with integer coefficients whose highest degree is four. The coefficient of the variable to the fourth degree cannot be zero. Examples of quartic functions include

From the roots;

a = 0 ; b = 4

From the polynomial expressions

x² - (a +b)x + ab = 0

x² - (0 +4 )x + 0*4 = 0

x² - 4x = 0

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Answer:

......______.......

....._______..........

Answer:

70%

Step-by-step explanation:

Answer:

x = -5/2

Step-by-step explanation:

1+2x=6x+11

Subtract 2x from each side

1+2x-2x=6x-2x+11

1 = 4x+11

Subtract 11 from each side

1-11 = 4x

-10 =4x

Divide by 4

-10/4 = 4x/4

-5/2 =x

Answer:

\(\boxed{x=-\frac{5}{2}}\\\)

Step-by-step explanation:

To begin, get the variable on one side of the equation - preferably the left for standard solution notation (for this equation, it is easier to place it on the right side to avoid negative values). Do this by subtracting 2x from both sides of the equation. Then, subtract 11. Finally, divide by 4 and get the answer in terms of x.

1 + 2x = 6x + 11

1 = 4x + 11

-10 = 4x

\(\boxed{x=-\frac{5}{2}}\)

Part A

In parallel lines, because of the symmetry, some angles are equal.

In the following image we see in the same color the angles that are equal or congruent:

The yellow angles are equal, and the red angles are equal.

In this case, we are asked for the relationship between angles 1 and 8.

Angles 1 and 8 are alternate exterior angles.

Part B

Since alternate exterior angles are equal, we have for the values given in part B that:

Part C

We need to find m∠2.

For that, first, we need to find the value of x by solving the equation from part B:

Since x is equal to 35, angle 1 is equal to:

And in the image, we can see that angles 1 and 2 are supplementary angles: the sum of them is 180°:

m∠2=25

Answer:

100

Step-by-step explanation:

Forming algebraic equations and solving:

Let the number of boys originally  at the stop = 'x'

Let the number of girls originally at the stop = 'y'

25  girls get on the first bus.

⇒ The number of girls now at the stop = y -25

Ratio of boys to girls:

        \(\sf \dfrac{x}{y -25}= \dfrac{3}{2}\\\\Cross \ multiply,\\\\2x = 3*(y- 25)\\\\2x = 3y - 3*25\\\\2x = 3y - 75 ------\)(I)

15 boys get on the second bus.

Now, the number of boys at the stop = x - 15

Number of girls at the stop = y - 25

Ratio of boys to girls,

     \(\sf \dfrac{x - 15}{y -25} = \dfrac{1}{1}\\\\Cross \ multiply, \\\\x - 15 = y -25\\\\\)

             x = y -25 + 15

             x = y - 10

Plugin x = y - 10 in equation (I)

          2*(y-10) = 3y -75

          2y - 20  = 3y -75

                -20 = 3y - 75 - 2y

                -20 = y -75

         -20 +75 = y

                 \(\sf \boxed{\bf y = 55}\)

Plugin y = 55 in equation (I)

       x = 55 -10

        \(\sf \boxed{\bf x = 45}\)

Number of students originally at the stop = x + y

                                                                     = 55 + 45

                                                                     = 100

Answer:

<

Step-by-step explanation:

1) Substitute 5 into the question

2) Work out the sides

3) Put it into an inequality

5 < 7

Hope this helps, have a great day!

Answer:

  20°

Step-by-step explanation:

You want to know the measure of external angle 1 in the diagram of a circle, secants, and chord.

The measure of each arc subtended by a chord is shown as 100°. They all have the same measure because the chords are all the same length.

The measure of the remaining arc is ...

  360° -100° -100° -100° = 60°

The measure of angle 1 is half the difference of the measures of the arcs it intercepts:

  angle 1 = 1/2(100° -60°)

  angle 1 = 20°

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The measure of the angle 1 using the appropriate angle theorem is 20°

The measure of the arc subtended by the chord is 100°. Since the length of the chord are equal, then the measure of each arc in the figure is the same.

Since we have three arcs measuring 100°

The measure of the smallest arc would be : (360 - 100) = 60°

Angle 1 = 0.5(100-60) (half the measure of intercepted arc)

Angle 1 = 0.5(40) = 20°

Hence, the measure of angle 1 is 20°

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Answer:

the computer was 280, and the printer was 6 times that. do the math an you have ur answer

The cost of a printer is $240 and the cost of a computer is $1440.

Given that, the cost of both computer and printer is $1680.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the cost of printer be x.

Richard paid six times as much for his computer as he did for his printer.

Then, the cost of computer will be 6x

Now, 6x+x=1680

⇒ 7x=1680

⇒ x=1680/7

⇒ x=$240

So, 6x=$1440

Therefore, the cost of a printer is $240 and the cost of a computer is $1440.

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The next number in the series is 25.

Number is a fundamental concept in mathematics, used to represent a quantity. It can be represented in many forms, such as an integer, a fraction, a decimal, and a ratio. Numbers are used to measure and quantify almost every physical phenomenon in the world. They form the basis of scientific principles, such as Newton's law of gravitation, and are used in everyday life for activities such as counting and calculating. Number is also an important concept in other disciplines, such as philosophy, psychology, and sociology.

This series follows a pattern of adding the previous two numbers together. Therefore, the next number in the series is the sum of 25 and -7, which is 32. This pattern can be continued indefinitely, with the next number in the series being 39 (32 + 7) and so on.

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Answer:

931.00

Step-by-step explanation: took the quiz

Answer:

Jomo Kenyatta

Step-by-step explanation:

Jomo Kenyatta was a Kenyan politician, who was one of the first African anti-colonial figures. He became the prime minister of Kenya from 1963 to 1964, and after Kenyan independence in 1964, he became president of Kenya. Jomo Kenyatta was born into a family of Kikuyu farmers in Kiambu, present day Kenya which was then, British East Africa. He had his basic schooling in a missionary school before proceeding to study at Moscow's Communist University of the Toilers of the East, University College London, and the London School of Economics.

Answer:

Jomo Kenyatta

Step-by-step explanation:

took the test

Diego's height is 7 units

The statement is given as:

77 is the product of 7 and Diego's height

This means that:

77 = 7 * d

Divide both sides by 7

d = 11

Hence, Diego's height is 7 units

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Answer:

x=11

Step-by-step explanation:

This is an exterior angle theorem question.

To answer this question, you must know what the exterior angle theorem is:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. (not my definition)

So first, you need to add the two opposite interior angles.

3x+8+2x+9 is equal to 5x+17.

Then, you make an equation setting 5x+17 equal to the exterior angle.

5x+17 = 8x-16.

To solve this equation, first add 16 on both sides

→5x+33 = 8x

Then, subtract 5x on both sides

→ 33 = 3x

Finally, divide both sides by 3 to get x=11

Since the situation forms a right triangle, we can apply trigonometric functions:

Cos a = adjacent side / hypotenuse

Where:

a= angle = 72°

adjacent side = 12

hypotenuse = x

replacing:

Cos 72 = 12/ x

Solve for x

x = 12 / cos 72

x = 38.83 km

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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Value of angle x = 70°

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. There are two different types of alternate angles, alternate interior angles and alternate exterior angles.

Given,

ACD = 35

BCE = 105

ABC = x

By, the figure

BA || CD

⇒ ACD = BAC (alternate angles on AC)

⇒ BAC = 35°

BCE = 105

Exterior angle is equal to sum of two opposite interior angles in the triangle.

BCE = BAC + ABC

105 = 35 + x

x = 105 - 35

x = 70°

Hence,

70° is measure of x.

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The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.

The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.

Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.

Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.

Hence, the correct option is {−4, −2, 0, 3, 5}.

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The matching parts of vectors a and c to find a + c. For instance, (1, -2, 4) + (2, 3, -1) = (3, 1, 3).

The equations and calculations to determine the vectors a and c's sum are as follows:

Assume that vector an is shown as (a1, a2, a3) and that vector c is shown as (c1, c2, c3).

Then, by adding each of their respective components, it is possible to determine the vectors a and c's sum, denoted as a + c:

A plus C equals (A+C1, A+C2, A+C3, etc.)

For instance, if a = (2, 3, -1) and c = (1, -2, 4), we can use the following formula to get their sum:

a + c = (2 + 1, 3 - 2, -1 + 4) = (3, 1, 3) (3, 1, 3)

As a result, the vectors a and c's sum is (3, 1, 3).

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A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

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Answer:

A quadrilateral is a shape that has four straight sides and four angles.

A triangle is a shape that has three straight sides and three angles.

A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.

\(x < \frac{20}{16} = \frac{5}{4} = 1.25 \\ x < 1.25\)

i hope it helps u :)

Answer:

 yes

Step-by-step explanation: I

go to k 12.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$45700\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &2 \end{cases}\)

\(A = 45700\left(1+\frac{0.12}{4}\right)^{4\cdot 2}\implies A=45700(1.03)^8 \implies A \approx 57891.39 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{earned interest}}{57891.39~~ - ~~45700} ~~ \approx ~~ \text{\LARGE 12191.39}\)

The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

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Answer:

10 servings

Step-by-step explanation

7 cups is equal to 21/3 cups. Since 21 isnt divisible by 2, you have to round down to the nearest divisible number, which would be 20. 20/2 is 10, so 10 is the answer.