Solve: 12²+5x-4122x+6
x=2
x = -5
x=2, x = -5
no solution

The Venn diagram shows that there are 10 students in the Yearbook Club (Y).

To learn more about The Venn diagram refer to:

https://brainly.com/question/24713052

#SPJ1

Answer:

Step-by-step explanation:

Determine the two consecutive multiples of 10 that bracket 551

551 is between 550 and 560

555 is the midpoint between 550 and 560

As illustrated on the number line, 551 is less than the midpoint (555)

Therefore, 551 rounded to the nearest ten = 550

551 rounded to the nearest ten with a number line

Answer: 551.36

Step-by-step explanation:

“Of” means you have to multiply so multiply 133.5 and 413 and you will get 55,135.5 then you move the decimal point to the right 2 times and that will be 551.355, then since there is a five you change the other five to a 6 (5 or more raise the score 4 or less let it rest) and that will be 551.36.

The translated function is:

⇒ y = 2x + 7

And, The translated point is (-3, 1)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Let The original linear function with coordinate is,

⇒ y = 2x + 4   ;

The point is, (1, 6)

Now, To find a point on that line, we can just evaluate the function in x = 1, we will get:

y = 2*1 + 4

y = 2 + 4

y = 6

So, we have the point (1, 6)

Now, we want to translate it 4 units to the left and 5 units down.

So, To translate it 4 units to the left, we need to add 4 to the argument.

⇒ y = 2(x + 4) + 4

And, to translate it  5 units down, we just need to subtract 5, we will get:

⇒ y = 2(x + 4) + 4 - 5

Thus, we can simplify this to get;

⇒ y = 2x + 2×4 + 4 - 5

⇒ y = 2x + 8 + 4 - 5

⇒ y = 2x + 7

Here, The new coordinates of the point are the same as the last ones, but we subtract 4 to the x-value and 5 to the y-value:

⇒ (1 - 4, 6 - 5) = (-3, 1)

Learn more about translations at:

brainly.com/question/24850937

#SPJ1

Answer:

Step-by-step explanation:

Nope.

Also, 7 + 1 is a monomial as it is equal to 8 which is a monomial.

Answer:

a = 9

Step-by-step explanation:

Given:

-4(a+2)-1 = -5a

Solve:

-4(a+2)-1 = -5a     << Distribute           {-4 × a = -4a }  {-4 × 2 = -8}

-4a - 8 - 1 = -5a  << Subtract              {-8 - 1 = -9}

-4a - 9 = -5a       << Add -4a to both side {-4a + -4a = } {-5a + -4a = -1a}

-9 = -1a               << Divide both sides by -1 {-9/-1 = -1a/-1}

a = 9

RevyBreeze

Yes, after 3 hours the level of water in both tanks will be equal.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the stingray tank contains 6 inches of water. the Shark tank is empty. each hour, 4 inches of water are added to the stingray tank and 6 inches are added to the shark tank.

The time at which both the tanks will have the same level will be calculated as;-

4x + 6 = 6x

6x - 4x = 6

2x = 6

x = 3 hours

Level = 6x = 6 x 3 = 18 inches

To know more about an expression follow

https://brainly.com/question/23264144

#SPJ1

Answer:

She will need a time of 1024 units to complete the 10th station.

Step-by-step explanation:

A. As the quotient between consecutive terms is the same, the data is a geometric sequence.

B. The recursive formula is:

C. She will need a time of 1024 units to complete the 10th station.

In a sequence, if the difference between consecutive terms is the same, the sequence is arithmetic.

If the quotient between consecutive terms is the same, the sequence is geometric.

Item a:

When x increases by 1, y is multiplied by 2, hence, as the quotient between consecutive terms is the same, the data is a geometric sequence.

The perimeter of one of the equilateral triangles in the window is equal to 12 feet.

An interior angle of an equilateral triangle measures 60°, hence by considering the right triangle LNX and the sine of angle X = 60°, we will derive one of the side lengths of the equilateral triangle as follows:

sin 60° = 2/XL {opposite/hypotenuse}

1/2 = 2/XL {sin 60° = 1/2}

XL = 2 × 2 {cross multiplication}

XL = 4 feet

All side length of an equilateral triangle are equal so;

one of the triangles perimeter = 3 × 4 feet

one of the triangles perimeter = 12 feet

Therefore, the perimeter of one of the equilateral triangles in the window is equal to 12 feet.

Know more about triangle here:https://brainly.com/question/1399707

#SPJ1

Answer:

-3+(-2y)

Step-by-step explanation:

Combine the like terms

(-9+6) + (-y-y)

-9+6= -3 -y-y= -y+ -y= -2y

-3+-2y

Answer:

8x100 = m

Step-by-step explanation:

8x100 is an equation to find m, because 100 each, and there are 8.
8x100 = m

The total amount after 20 years will be $ 1,60,110.6741.

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

Annual interest rate is 2.75%. Hence, the monthly interest rate is 2.75/12

The amount will be compounded (20*12)=240 times.

Every month they deposits $500.

In the first month that deposited $500 will be compounded 240 times.

It will be 500 [1+(2.75/1200) ] ^240

In the second month $500 will be deposited again, this time it will be compounded 239 times.

It will give 500 [1+(2.75/1200) ] ^239

Hence, the total after 20 years will be

500 [1+(2.75/1200) ] ^240 + 500 [1+(2.75/1200) ] ^239 + ..........+500 [1+(2.75/1200) ] ^1 = 1,60,110.6741

To learn more about compound interest from the link

https://brainly.com/question/24274034

#SPJ1

The information related to the quadratic equation is given below.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

A polynomial with degree 2 is called a quadratic equation.

It is in the form of ax² + bx + c

So,

We can recognize a quadratic equation if the highest power of the equation is two.

Now,

The methods that can be used to solve are:

Middle-term factorization.

Example:

x² + 2x + 1

x² + (1 + 1)x + 1

x² + x + x + 1

x(x + 1) + 1(x + 1)

(x + 1) (x + 1)

Using the determinant formula.

ax² + bx + c

x = [-b ± √(b² - 4ac)] / 2a

Now,

The number of solutions is equal to the degree of the quadratic equation.

Now,

The discriminant of a quadratic equation is [-b ± √(b² - 4ac)] / 2a.

Where ax² + bx + c is the equation.

The discriminant determines the solutions.

Thus,

The information related to the quadratic equation is given above.

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ1

Answer:

A house has decreased in value by 24% since it was purchased, that means the current value is 24% less than the value when it was purchased.

To find the original value, we can use the following formula:

Original Value = Current Value / (1 - (Decrease % / 100))

where the decrease is expressed as a decimal, thus 24% is 0.24

Original Value = $209,000 / (1 - 0.24)

Original Value = $209,000 / 0.76

Original Value = $275,000

So the original value when it was purchased is $275,000

Answer:

135.3 yd

Step-by-step explanation:

The length of the diagonal of a rectangle can be found using the Pythagorean theorem, which states that the square of the length of the diagonal (c) is equal to the sum of the squares of the length (a) and the width (b) of the rectangle. So the formula is c = √(a^2 + b^2)

Given the length of the soccer field is 115 yd and the width is 70 yd, we can use the formula:

c = √(115^2 + 70^2)

c = √(13225 + 4900)

c = √(18125)

c = 135.3 yd

Rounding the answer to the nearest tenth we get 135.3 yd

Therefore, the length of the diagonal of a soccer field is 135.3 yd.

1/2=1/2=1/2.is the value for the given equivalent fraction, by putting the value 3.4 in the numerators respectively

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

For instance, since 2/4 and 3/6 both equal the 1/2, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.

1/2 =    /6 =   /8.

a. Multiply numerator and denominator by 3 for equivalenting the equation    /6

Therefore,

3*3/6*3

=9/18

=1/2

therefore:1/2=1/2.

b. Multiply numerator by 4

Therefore,

4/8

=1/2.

Therefore:

1/2=1/2.

1/2=1/2=1/2.

Learn more about equivalent fraction here:

https://brainly.com/question/29775885

#SPJ1

A table which represents a linear relationship that is also proportional include the following:

B. x −2 0 2

   y −3 0 3

In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

In order to have a proportional relationship and equivalent ratios, the variables x and y must have the same constant of proportionality.

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = -3/-2 = 3/2

Constant of proportionality (k) = 3/2.

Read more on proportional relationship here: brainly.com/question/20167968

#SPJ1

Answer: The answer is B

Step-by-step explanation: I took the test and  got it right

Answer: either b or c

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: The crow would have traveled 40 miles per hour faster than the seagull after 5 hours of flight

Step-by-step explanation: (crow) 24 times 5 is 120 (seagull) 16 times 5 is 80, so it’s 120 - 80 which is 40

The diameter of the circular base is approximately 1.57 ft.

What is the circumference of a circle?​

The circumference of a circle is the total length of the arc of a circle. It is also known as the perimeter of the circle. The distance from the center to any point on the circle is called the radius of the circle.

If the barrel has a circular base and turns 26 times in being rolled up the ramp, that means the circumference of the circular base is 26 times the distance the barrel travels up the ramp. We know that the distance the barrel travels up the ramp is 130 feet, so we can set up the equation:

26 * C = 130 ft

where C is the circumference of the circular base.

To find the diameter, we know that the circumference of a circle is equal to pi times the diameter, or C = pi * D. So we can substitute this into the equation above:

26 * pi * D = 130 ft

To find the diameter, divide both sides by 26 * pi:

D = 130 ft / (26 * pi)

Using the value of pi = 3.14, we can calculate the diameter of the circular base:

D = 130 ft / (26 * 3.14) = 130 ft / 82.44 = 1.57 ft

Hence, The diameter of the circular base is approximately 1.57 ft.

Learn more about circumference of circle, Visit

https://brainly.com/question/18571680

#SPJ1

The described graph crossing the y-axis at (0, negative 6) has f(0) at

The y - intercept is calculated by substituting the value of x as zero.

For a graph, when the curve passes through the y axis, the point is the y intercept.

On a coordinate axis the points are represented using ordered pairs of the form (x, y). For an equation, this is represented as f(x) = y

Because of this, the points (negative 2, 0), (negative 1, 0), (1, 0), and (3, 0) are f(-2) = 0, f(-1) = 0, f(1) = 0, and f(3) = 0, are the x intercepts

The y intercept in the problem is (0, negative 6), represented in equation form as

f(0) = -6

Learn more about functions at:

https://brainly.com/question/10439235

#SPJ1

Answer:

Solution in attached photo.

Step-by-step explanation:

The solution is attached as a photo. This Question tests on the concept of Angle Properties.

Properties required:

1) Angles in a straight line sums up to 180°.

Answer:

E) [tex]2^{4} * 2^{4}[/tex]

Step-by-step explanation:

By properties of exponents, when multiplying two numbers that have the same base, you can add the exponents. Therefore:
[tex]2^{8}=2^{4} * 2^{4}\\2^{8}=2^{(4+4)}\\2^{8}=2^{8}[/tex]

Therefore , the solution of the given problem of triangle comes out to be 195 is the perimeter of  ΔSTU .

The fact that a triangle contains 4 elements or segments qualifies it as a polygon. It is an elementary geometric form. Triangle ABC is the name given to a pyramid with teams A, B, or C. Euclidean geometry produces a single flight and square because once sides are not collinear. It is a polygon if a component has three parts and three corners. The intersection of a triangle's three sides is at its corners. Three triangle angles added together equal 180 degrees.

Here,

Given:

ΔPQR - ΔSTU

Perimeter of ΔPQR  = =335

To find the perimeter of ΔSTU

=> 105/ x = 119/63

=> x = 105 * 63 / 119

=> x = 59.58 or 59.6 (approx)

So , the perimeter of ΔSTU

=> 59.6 + 71.4 + 63

=> 195

Therefore , the solution of the given problem of triangle comes out to be

195 is the perimeter of  ΔSTU .

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Answer:

I know the answer

Step-by-step explanation:

go solve it by yourself, be independent

The formula that relates the initial investment, P, the final value, S, and the annual interest rate, r, is:

Compounding: how would you define it?

When interest is applied to a principal amount as well as interest that has already been paid, this process is known as compounding. Therefore, compounding can be thought of as interest on interest, which has the effect of magnifying returns to interest over time, or the so-called "wonder of compounding."

S = P(1 + r)^2

We are given that P = $3,240,000 and S = $3,779,136, so we can substitute these values into the equation and solve for r:

3,779,136 = 3,240,000(1 + r)^2

3,779,136/3,240,000 = (1 + r)^2

1.17 = (1 + r)^2

To find r, we need to take the square root of both sides and then subtract 1 from each side:

√(1.17) = √((1 + r)^2)

1.08 = 1 + r

r = 0.08 or 8%

So the annual interest rate required for an initial investment of $3,240,000 to mature to $3,779,136 after two years when the interest is compounded annually is 8%.

Learn more about compound

https://brainly.com/question/28020457

#SPJ1

Answer:

To graph h(x) = 7sin(x), we need to plot a set of points that satisfy the equation. To do this, we can pick several values of x, substitute them into the equation and find the corresponding y values.

We can use the fact that h(x) = 7sin(x) = 7sin(x + 2π) = 7sin(x + 4π) = .... = 7sin(x + 2nπ) , for any integer n.

The graph of h(x) = 7sin(x) is a sine function with an amplitude of 7 and a period of 2π.

It oscillates between -7 and 7 and the graph will look like a wave that oscillates between y = -7 and y = 7.

It has a horizontal shift of 2π to the right.

It is not possible to graph the function here but you can easily plot it using a graphing calculator or a program like Desmos.

Step-by-step explanation:

An inequality system that reflects this circumstance is C. 8x + 12y 240 since the dyers must produce at least 22 rugs in fewer than 240 hours.

Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >,,, or indicate that the two expressions in an inequality are not always equal.

The small-size rug and medium-size rug would first receive the following variable assignments:

When the problem is converted into an equation, we get;

It takes 8 hours to dye a small-sized rug: 8 times.

12 hours are needed to colour a medium-sized rug.

Given that the dyers must produce at least 22 carpets in less than 240 hours, the following system of inequality best captures the situation:

8x + 12y < 240.

To learn more about inequality refer to:

https://brainly.com/question/24372553

#SPJ1

Answer:

about 2.62 hours

Step-by-step explanation:

add 1.9 and 3.6 twice

11

divide the parameter by 4.2