The price of an item has been reduced by 15%. The original price was $17

Answer:

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

Step-by-step explanation:

[tex]9x^3-3x^2-30x= \\\\3x(3x^2-x-10)= \\\\3x(3x^2+5x-6x-10)= \\\\3x(x(3x+5)-2(3x+5))= \\\\3x(3x+5)(x-2)[/tex]

Hope this helps!

Answer:

1/2 belongs to the rational family of real numbers because it isn't an integer (..-1, 0, 1..) but it can be written as a fraction.

Answer:

rational numbers and real numbers

Step-by-step explanation:

Rational numbers is part of the real numbers family and so therefore it is also a real number.

Answer:

Step-by-step explanation:

the equation is y=mx+b

the b part is the y-intercept

so in your equation... the y=intercept would be 7/6

Answer:

150.72

Step-by-step explanation:

The volume of a cylinder is 2πrh. We have r = 3 and h = 8 so volume is 48π or 150.72.

Answer:

the measure of angle ABC is 73°

Step-by-step explanation:

This is  inscribed angle and theorem says that its measure is 1/2 of intercepted arc

m∠ABC =1/2 m arcAC = 1/2 * 146°° =73°

Answer:

It is 180 degrees

~Hope this helps!!Stay safe~

Answer:

[tex]_3 C_2 =\frac{3}{2}[/tex]

[tex]_3 C_3[/tex] Is undefinded.

Step-by-step explanation:

Given the equations.

[tex]_3 C_2=\frac{3}{(3-2)2}[/tex]

[tex]_3 C_3 =\frac{3}{(3-3)3}[/tex]

Distribute the denominator.

[tex]_3 C_2 =\frac{3}{(6-4)}[/tex]

[tex]_3C_2 = \frac{3}{(9-9)}[/tex]

Simplify the denominator.

[tex]_3 C_2 = \frac{3}{2}[/tex]

[tex]_3 C _3 = \frac{3}{0}[/tex] this is undefined because you're not able to divide by 0.

Answer:

part 1: 3 & 1

part 2: 6

Step-by-step explanation:

edge fam sticks together lol

Answer:

  (y -12)(y -4)

Step-by-step explanation:

This can be factored as the difference of squares:

  (y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)

Answer:

19/ 143

Step-by-step explanation:

There are 19 rock songs out of 143 total

P(rock) = number of rock songs/ total

            = 19/ 143

Answer:

open circle on negative 10 with the arrow going to the right. one trick is when the variable is on the left the inequality sign points to where the arrow will go and > is open circle > with a line under is closed circle

Answer:

The probability the student studies Art and Biology is 0.2143.

Step-by-step explanation:

Denote the events as follows:

A = a students studies Art

B = a students studies Biology

The information provided is:

N = 42

n (A ∩ B) = 9

n (A' ∩ B) = 10

n (A' ∩ B') = 7

Then the number of students who study Art but not Biology is:

n (A ∩ B') = N - n (A ∩ B) - n (A' ∩ B) - n (A' ∩ B')

               [tex]=42-10-7-9\\\\=16[/tex]

The number of students who study Art but not Biology is 16.

Compute the probability the student studies Art and Biology as follows:

[tex]P(A\cap B)=\frac{n (A\cap B)}{N}[/tex]

               [tex]=\frac{9}{42}\\\\=\frac{3}{14}\\\\=0.2143[/tex]

Thus, the probability the student studies Art and Biology is 0.2143.

Answer:

15 litres

Step-by-step explanation:

1/3 x= 5

x= 5 : 1/3

x= 5*3

x= 15 litres

Answer: A Collecting data

Step-by-step explanation:

just did the quiz

Explanation:

These two angles are a linear pair. They are supplementary (ie they add to 180) and they are adjacent. We know they are supplementary because line WXZ is a straight line. Put another way: point X is on line WZ.

-------

Side notes:

The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

To find the correct statement.

Now, We can find the correct statement as;

By definition of linear pair we get;

⇒ m ∠WXY + m ∠YXZ = 180°

Thus, The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

Learn more about the angle visit:;

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Answer:

The correct answer is A

Step-by-step explanation:

Because the solution to the two equations would be 3 and -6, so the numbers in the other column in the matrices that aren't 3 and -6 would be the coefficients. In matrix Ax = 4 and 1 are the coefficients for y and in matrix Ay, -5 and -8 is the coefficient for the xs in the equations.

Answer: A

Step-by-step explanation: edge 2023

Answer:

y = 14

Length of AB = 56 units

Step-by-step Explanation:

==>Given:

Parallelogram ABCD, with the following lengths:

AB = 4y

DC = y + 42

==>Required:

a. Value of y

b. Length of AB

==>Solution:

i. Recall that one of the properties of a parallelogram is that opposite sides are congruent. This implies that side AB is congruent to DC.

To find the value of y, let's set the opposite sides of the parallelogram equal to each other (i.e. AB = DC)

Thus,

4y = y + 42

Subtract y from both sides

4y - y = y + 42 - y

3y = 42

Divide both sides by 3

3y/3 = 42/3

y = 14

ii. Length of AB = 4y

Plug the value of y

Length of AB = 4(14)

Length of AB = 56 units

Answer:

The correct options are (1), (2) and (4).

Step-by-step explanation:

If the cross-section of a right rectangular prism parallel to its base then the cross section is a rectangle.

If the cross section of a right rectangular prism perpendicular to its base then the cross section is a rectangle.

It is provided that a right rectangular prism has a rectangular base measuring 15 inches by 8 inches.

Then the right rectangular prism could have:

Thus, the correct options are (1), (2) and (4).

Answer: the answer is 77 degrees

Step-by-step explanation: a triangle's angles all add up to 180, so all you need to do is 180-(59+44)

Answer:

exponential growth

Step-by-step explanation:

f(x)  = 2  * 2^x

This is in the form

y = a * b^x  where a is the initial value and b is the growth rate or decay rate

b > 1 so it is growth

This is  the exponential form

y = mx+b is the linear form

Answer:

aₙ= 4n+11

Step-by-step explanation:

the sequence 15, 19, 23, 27

is AP with the first term 15 and

the common difference 19-15=23-19=27-23= 4

aₙ= a₁+(n-1)d

aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11

aₙ= 4n+11

Answer:

Surface Area: 200.48 yd^2

Volume: 141.2 yd^3

Step-by-step explanation:

Rectangular Prism x1 = 148.48 yd^2

Let's start off by splitting this figure into three shapes, one rectangular prism and two triangular prisms. Find the surface area of the rectangular prism by finding the area of each side of it, (8 yd * 2.8 yd) for only the bottom, (8 yd * 4.8 yd) x 2 for the front and back, and (2.8 yd * 4.8) x 2 for the left and right side. You will get 44.8, 76.8 and 26.88 for a total of 148.48 yd^2.

Triangular Prism x2 = 52 yd^2

Find the area of one of the front triangles using the given 3 yd with a length of 4 yd given that one triangle takes up half the length of 8 yd horizontally. Use the triangle formula (length x width)/2 and substitute in values 3 and 4 above to get an area of 6 yd^2. Times that amount of yards by 4 since we have 3 remaining sides that are the same to get 24 yd^2, remember this for later. Almost there as we also have two rectangles on the triangular prisms: both with width of 5 yd and length of 2.8 yd, find area using l*w to get 14 yd^2. Add two of them to get 28 yd^2 for each rectangle. Add 24 yd^2 with 28 yd^2 to get a surface area of 52 yd^2 for BOTH the triangular prisms.

Finally add the surface area of the three figures to get a total surface area of 200.48 yd^2.

Now we move on to volume, which is actually more simple.

Formula of Rectangular Prisms = length x width x height

Formula of Triangular Prisms = (length x width x height) / 2

Volume of Rectangular Prism = (8 yd * 2.8 yd * 4.8 yd) = 107.52 yd^3

Volume of Two Triangular Prisms = (4 yd * 3 yd * 2.8 yd) / 2 = 16.8 yd^3 x 2

Finally add the volumes together to get your final volume.

107.52 + 16.8 + 16.8 = 141.2 yd^3

Sorry if this is long xd

Answer: x= -2

Step-by-step explanation: use pemdas

10x + 8 = 3(x - 2) distribuite parenthesis

10x + 8 = 3x - 6

10x + 8 = 3x - 6 add like terms

7x +8= -6 add like terms

7x= -14 divide to get x alone

x= -2

Answer:

x = - 2

Step-by-step explanation:

10x + 8 =3(x-2)

10x + 8 =3x - 6

10x - 3x = - 6 - 8

7x = - 14

7x/7 = -14/7

x = - 2

Answer: B. The test contains 10 three-point questions and 14 five-point questions

Step-by-step explanation:

14 * 5 = 70

10 * 3 = 30

70 + 30 = 100

14 + 10 = 24

Answer:

y=14

x=10

Step-by-step explanation:

x+y=24

3x+5y = 100

multiply the first equation by 3 and subtract from second one :

3x+3y=72

-

3x+5y=100

equal : -2y=-28

y=14

x=10

Answer:

x=45/6

Step-by-step explanation:

2+7y=8. 7y=8-2. 7y=6

7=7. y=6\7

insert the value of y in the second equation. 5x-7y=16

5x-7(6/7)=16

5x-49\6=16

collect the liketerms together

5x=16+49/6

5x=145/6(divide both sides by 5)

x=29/6

x=45/6

further.

confirm if the 2 in the second equation has an X coz the questions are normally set with both equations having both values x and y

Answer:

y = x + 1

Step-by-step explanation:

I've already explained the process to you, but:

Slope intercept form is y = mx + b

When we count rise over run, we get 1/1, or just 1.

y = x + b (you don't have to write 1x)

The line intersects the y-axis at 1

y = x + 1

Please let me know if you don't understand

Answer:

B

Step-by-step explanation:

(There  is 2 sides.)

Answer:

(a) 12:5

(b)12:7

Step-by-step explanation:

HOPE i helped!

Answer:

A

Step-by-step explanation:

Quadratic equation

Answer: The accumulated amount after 5 years = $ 5352.90

The accumulated amount after 20 years = $ 12828.54

Step-by-step explanation:

Formula to find the accumulated amount after investing P amount at the rate of r ( in decimal) compounded annually for t years:

[tex]A=P(1+r)^t[/tex]

As per given , we have

P =  $4,000

r= 6% = 0.06

Put thsese values in formula : [tex]A=4000(1+0.06)^t=4000(1.06)^t[/tex]

The accumulated amount after 5 years = [tex]A(5)=4000(1.06)^5[/tex]

[tex]=4000(1.3382255776)=5352.9023104\\\\\approx5352.90[/tex]

Hence,  the accumulated amount after 5 years = $ 5352.90

The accumulated amount after 20 years = [tex]A(20)=4000(1.06)^{20}[/tex]

[tex]=4000(3.20713547221)=12828.5418888\\\\\approx12828.54[/tex]

Hence,  the accumulated amount after 20 years = $ 12828.54

Using the compound interest formula, the amount in the bank at the end of 5 years and 20 years would be $5325.90 and $12828.54 respectively

Using the compound interest formula :

After 5 years :

[tex] A = 4000(1 + 0.06)^{5} [/tex]

Amount after 5 years = $5325.90

After 20 years :

[tex] A = 4000(1 + 0.06)^{20}[/tex]

Amount after 5 years = $12828.54

Hence, the amount accumulated after 20 years will be $12828.54

Learn more : https://brainly.com/question/25581049