What are the solutions of 3(x – 4)(2x - 3) = 0? Check all that apply. -4 -3 win w bo 3 m/N 3 4​

Answer:

Step-by-step explanation:

let Emma age be x now

Let Joseph age be y now

If Emma is 10 years younger than Joseph, then x = y-10

six years from now:

Emma will be x+6 years

Joseph will be y+6 years

If Joseph's age 6 years from  now will exceed twice Emma's age 2 years ago by 3 years, then:

y+6 = 2(x+6-2) + 3

y+6 = 2(x+4)+3

y + 6 = 2x+11

y + 6 = 2(y-10)+!1

y + 6 = 2y-20+11

y - 2y = -9-6

-y = -15

y = 15

Since x = y -10

x = 15-10

x = 5

Hence Emma is 5years old now and Joseph is 15years old now

Answer:

These are two imaginary solutions.

x = − 4 , 2 ± 2 √ 3 i

Step-by-step explanation:

Answer:

.30

Step-by-step explanation:

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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We will see that the triangle must have a height equal to 9cm.

For a square of sidelength s the area is a = s^2, and for a triangle of base b and height h, the area is a = b*h/2.

Here we know that the sidelength of the square (and the base of the triangle) is 8cm, and the total area is 100cm^2, then we need to solve the equation:

100cm^2 = (8cm)^2 + (8cm)*h/2

So we need to find the value of h:

100cm^2 - 64cm^2 = (8cm)*h/2

(2*36cm^2)/8cm = h = 9cm

The height of the triangle is 9cm

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Answer:7 units

Step-by-step explanation:

Step-by-step explanation:

All of the EXTERNAL angles of a polygon sum to 360 °

95 + 44 + 42 + 78 + p = 360°

   p =101°

  then   q + p  form a straight line = 180 °

     so q =  79 °

Step-by-step explanation:

3(12a+8)=34.8×4

12a+8=46.4

a=4.5333

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Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

The value of the quotient expression given as negative 7.3 divided by one half is -14.6

The quotient expression is given as:

negative 7.3 divided by one half

Rewrite the above expression properly, as follows:

-7.3/0.5

Evaluate the quotient

-14.6

Hence, the value of the quotient expression given as negative 7.3 divided by one half is -14.6

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Answer:

-14.6

Step-by-step explanation:

Treat the one half as a fraction.

Then remember that when you divide by a fraction, you need to multiply by the reciprocal of the fraction, so dividing by half is the same as multiplying by 2. Also, negative times positive is negative.

-7.3 / (1/2) = -7.3 × 2/1 = -7.3 × 2 = -14.6

sinusoidal curve equation 29 sin (\(\pi\)/9 x)-49

Given the graph of a sinusoidal function, we can write its equation in the form y = A·sin(B(x - C)) + D using the following steps. D: To find D, take the average of a local maximum and minimum of the sinusoid. y=D is the "midline," or the line around which the sinusoid is centered.

In the state of Michigan, the lowest average temperature of the year is in January and is about 20 °F.

The highest monthly average temperature occurs in July at 78 °F

Assume the period is 12 months and January is at the origin of the graph of this function.

sinusoidal curve equation that models the data y

Then, Graph the curve using x = 0 for January, and x = 11 for December, so that x = 12 will be the start of the next year, or end of the period.

So, using the property of sinusoidal curve equation we have

=29 sin (\(\pi\)/9 x)-49

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Answer:

x=21

x=122

Step-by-step explanation:

Answer:

x= 21

x=122

I hope this will help you.

The height of the trapezium is approximately 7.898 ft.

A trapezium (also called trapezoid in some countries) is a quadrilateral with at least one pair of parallel sides. The parallel sides of a trapezium are called the bases, and the non-parallel sides are called the legs. The distance between the bases is called the height or altitude of the trapezium.

There are different types of trapeziums, such as isosceles trapeziums, where the legs are equal in length, and right trapeziums, where one of the angles formed by a base and a leg is a right angle.

The area of a trapezium is given by the formula:

Area = (1/2) × (sum of bases) × height

where the sum of bases is the sum of the lengths of the two parallel sides.

The perimeter of a trapezium is given by the sum of the lengths of all four sides:

Perimeter = length of base 1 + length of base 2 + length of leg 1 + length of leg 2

We can use the formula for the area of a trapezium to solve for its height. The formula is:

Area = (1/2) x (sum of parallel sides) x (height)

We are given the area of the trapezium as 79.395 ft, the length of one of the parallel sides (the base) as 15.1 ft, and the length of the other parallel side as 5 ft. Let's plug these values into the formula and solve for the height:

79.395 = (1/2) x (15.1 + 5) x h

79.395 = 10.05h

h = 79.395 / 10.05

h = 7.898 ft (rounded to three decimal places)

Therefore, the height of the trapezium is approximately 7.898 ft.

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Answer:

A

Step-by-step explanation:

Hope this helps

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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Answer:

Step-by-step explanation:

X+Y=82,35

X= 4(X-Y)

<=> 3X=4Y<=> X= 4Y÷3

=> 7Y÷3= 82,35

=> Y= 4941÷140

=> X = 82,35 - 4941÷140= 1647÷35

Vậy 2 số cần tìm là 4941÷140 và 1647÷35

Answer:

TWO CRACKERS

Step-by-step explanation:

I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.

Hope this helped

Answer:

0

Step-by-step explanation:

Answer:

284 scratched cups

Step-by-step explanation:

it's in the picture

Answer:

Quadratic functions are those where their rate of change changes at a constant rate. Exponential functions are those where their rate of change is proportional to itself.

An example of a quadratic function would be the shape that a ball makes when you throw it. Gravity causes a constant acceleration, the ball slows down as it is moving up, and then it speeds up as it comes down.

An example of an exponential function would be the population of a bacterium as long as there is enough space and nutrients or how your money grows with compound interest in a bank.

A quadratic function is one in the form

f(x)=ax2+bx+c  

It’s rate of change (first derivative) is linear.

f′(x)=2ax+b  

The rate of the rate of change (second derivative) is constant.

f′′(x)=2a  

Quadratics are then the solutions to the differential equation

f′′=C  

An exponential function is one in the following form.

g(x)=Aekx  

It’s rate of change is another exponential function.

g′(x)=Akekx  

So exponentials are the solutions to the differential equation

g′=kg

Step-by-step explanation:

Yes. : )

The spherical coordinates of the given rectangular coordinates are (10, 0, 60).

The cartesian coordinate or rectangular coordinates describes the location of a point in space using an ordered triple where each coordinate represents a distance. The spherical coordinate system describes the location of a point in space using an ordered triple where coordinate describes one distance and two angles. In the spherical coordinate system, a point is represented by the ordered triple (ρ, θ, φ).

The equations which are used to convert from rectangular coordinates to spherical coordinates are:

ρ^2=x^2+y^2+z^2

tan⁡〖θ= y/x〗

φ=arccos⁡〖z/√(x^2+y^2+z^2 )〗

The given rectangular coordinates are (5√3, 0, 5). Hence,

ρ^2=〖(5√3)〗^2+0^2+5^2 ≈ 100

ρ ≈ √100 ≈ 10

tan⁡〖θ= 0/(5√3)=0〗

θ=  tan^(-1)⁡0=0

φ=arccos⁡〖5/√(〖(5√3)〗^2+0^2+5^2 )〗= arccos 5/10=arccos⁡0.5 ≈ 60

Note:  The question is incomplete. The complete question probably is: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where needed. Give your answer as a point's coordinates in the form (*,*,*). (5√3, 0, 5)

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The expression 2 3/5 ÷ 5 3/8 given is written in simplest form as  104/215

The problem is a division problem in mixed numbers

converting to improper fractions we have

= 2 3/5 ÷ 5 3/8

= 13/5 ÷ 43/8

inverting the divisor to change to multiplication

= 13/5 ÷ 43/8

= 13/5 * 8/43

= 104/215

The division problem is simplest form give 104/215

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Answer:

product of 10 and 8

Step-by-step explanation:

8 is the quotient of 80 and 10 (80/10=8)

Answer:

please write the question in english than I may help you

Answer:

16 this is the answer to your question

Answer:

Step-by-step explanation:

8+8=16

Count all the slashes together

(////////)+(////////)=16 slashes

Answer:

I said D

Step-by-step explanation:

The equivalent expression of the expression\(\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}\) is  \(\frac 23x\sqrt{y\)

The expression is given as:

\(\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}\)

Take the 4th root of 16 and 81

\(\frac 23\sqrt[4]{\frac{x^{11}y^8}{x^7y^6}}\)

Apply the law of indices

\(\frac 23\sqrt[4]{x^{11 - 7}y^{8 - 6}}\)

Evaluate the difference

\(\frac 23\sqrt[4]{x^{4}y^{2}}\)

Take the 4th root of x^4

\(\frac 23x\sqrt[4]{y^{2}}\)

Take the 4th root of y^2

\(\frac 23x\sqrt{y\)

Hence, the equivalent expression of \(\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}\) is  \(\frac 23x\sqrt{y\)

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The centrois of the triangle is X. We woud apply the theory about the centroid which states that the centroid divides each median into two segments whose lengths are in the ratio, 2:1. The longest segment is the one nearest the vertex. Looking at the triangle, we can see that the segment, BX is nearest the vertex. Thus, it is the longest one. The shorter one would be XY

The ratio of BX to XY is 2:1

If BX = 10, then

XY = 10/2 = 5

XY = 5