Given:
Area of a rectangle = [tex]x^3-5x^2+3x-15[/tex]
Width of rectangle = [tex]x^2+3[/tex]
To find:
The length of the rectangle.
Solution:
The area of a rectangle is:
[tex]A=l\times w[/tex]
Where, l is length and w is the width.
It is can be written as:
[tex]\dfrac{A}{w}=l[/tex]
[tex]l=\dfrac{A}{w}[/tex]
Putting [tex]A=x^3-5x^2+3x-15[/tex] and [tex]w=x^2+3[/tex], we get
[tex]l=\dfrac{x^3-5x^2+3x-15}{x^2+3}[/tex]
[tex]l=\dfrac{x^2(x-5)+3(x-5)}{x^2+3}[/tex]
[tex]l=\dfrac{(x^2+3)(x-5)}{x^2+3}[/tex]
[tex]l=x-5[/tex]
Therefore, the length of the rectangle is [tex]x-5[/tex].
What is the volume of the triangular prism below?
20 ft
18 ft
15 ft
СА
B
1, 280 ft
1, 320 ft
2, 700 ft
5, 400 ft
OD
The length of a field in feet is a function f(n) of the length nin yards. Write a function rule for this situation.
Given:
The length of field is n yards.
The length of a field in feet is a function f(n).
To find:
The function rule for this situation.
Solution:
We know that,
1 yard = 3 feet
Using this conversion, we get
n yard = 3n feet
The length of field is n yards. So, the length of the field is 3n feets.
The length of a field in feet is a function f(n). So,
[tex]f(n)=3n[/tex]
Therefore, the required function rule for this situation is [tex]f(n)=3n[/tex].
Simplify 6(x + 3).
6x + 3
x + 18
6x + 18
6x + 9
Answer:
the answer of this question is = 6x + 18
what is the length of side B in the above right triangle
Answer:
b is 3 pythagorean theorem
Step-by-step explanation:
Answer:
your answer for B is 3
Step-by-step explanation:
this is easy its a Pythagorean Triple (with triples u dont have to do much work all u have to do is know ur Triples and its that easy)
so the Triples are
3,4,55,12,138,15,177,24,25p.s you might want to write these down for the future
so if we look at this picture of the triangle we can tell its a 3,4,5 triple
and there is one missing side which is 3.
This box is packed with cubes that measure one cubic foot.
Enter the volume of the box in cubic feet. _____ cubic feet.
Answer:
The answer is 84 cubic feet.
Step-by-step explanation:
3 x 4 = 12. 12 x 6 = 72. 72 + 12 = 84
What time will it be in 3/4 hour? Answer for me please x
Answer:
9:25
hope this helps
have a good day ;)
Step-by-step explanation:
3/4 of an hour=45 minutes so add 8:40 + 45 min
Answer:
9 : 25
Step-by-step explanation:
It shows 8 : 40
After 3/4 hour or 45 minutes.
8 : 40 + 20 minutes + 25 minutes
9 : 00 + 25 minutes = 9 : 25
Write the equation of the line in the following graph:
Answer:
Y = -1/2 - 2
Step-by-step explanation:
Y - intercept (b value in y = mx + b) equals -2.
Slope is -1/2
Answer:
the equation of the line in the following graph: y = -1/2x - 2
Write an expression for the phrase.
A number increase by ten.
No links
Answer:
n + 10
Step-by-step explanation:
im pretty sure thats right, im sorry if not but have a great day!
Answer:
I'm not tryna be a but do u know how to ask questions in the app
Step-by-step explanation:
pls
I need help with this it's urgent!
Answer:
I looks like it's anwser D
Answer:
$460.80
Step-by-step explanation:
with we us our formula equation I=prt we now cam solve for our depreciated value
with we substitute our varibles with the correct numerals we now get
I= 960 x 0.12 x 4
we turn our 12% into a decimal to be Simplified into our equation.
If we now solve we will get
I = 960 x 0.12 x 4
I = 460.8
Ridas father is 4 times old as rida. After 5 years father will be three times as old as rida.Find their present ages
Answer:
Rida is 10 years old and her father is 40 years old.
Step-by-step explanation:
Given:
Present age
Present age of Rida = x
Present age of Rida's father = 4x
Age after 5 years
Age of Radi after 5 years = x + 5
Age of Radi's father after 5 years = 3(x + 5)
What To Find:
The present age of Rida and Rida's father.
Solution:
According to the statement the equation will be,
⇒ 4x + 5 = 3(x + 5)
Remove and solve the brackets,
⇒ 4x + 5 = 3x + 15
Take numbers to RHS and variable to LHS,
⇒ 4x - 3x = 15 - 5
Subtract 3x from 4x and 5 from 15,
⇒ x = 10
Now substitute the values of Rida's age and Rida's father's age,
Rida's age = x = 10 years
Rida's father's age = 4x = 4(10) = 40 years
A positive
B negative
C none
D multiple
Answer:
postive
Step-by-step explanation:
positive collums so it's positive
what is the equation for a line that passes through the points (5,-3) and (-10,15)
Answer:
7 is ur answer
Step-by-step explanation:
Please HELP ME it’s my test I need to turn IT IN. In A COUPLE MIN
Enzymatic browning, the darkening of cut fruit when exposed to the air, can be lessened by
A. cooking the fruit
B.dipping the fruit in a juice rich in vitamin C
C. freezing the fruit
D.dipping the fruit in chocolate
Answer:d
Step-by-step explanation:
Lol! Quick question By the way this question is really simple! 3 × [(27 − 6) − (6 + 7)]
Answer:
24
Step-by-step explanation:
use a calculator for these type of problems next time!
the answer to this equation would be 24x
A equation for the ninth term of a arithmetic sequence who seventh term is 21 and common difference of 5
Answer:
[tex]9th=31[/tex]
Step-by-step explanation:
From the question we are told that:
Seventh term [tex]7th= 21[/tex]
Common difference [tex]d= 5[/tex]
Generally Equation for seventh term
[tex]7th=a+(7-1)d[/tex]
Therefore the First Term is given as
[tex]a=7th-(7-1)d[/tex]
[tex]a=21-6*5\\a=-9[/tex]
Generally the equation for 9th term is mathematically given by
[tex]9th=a+8d[/tex]
[tex]9th=-9+8(5)[/tex]
[tex]9th=31[/tex]
Pls I just need the equation for this one
Answer:
y=1/3x
Step-by-step explanation:
the slope (rise/run) is 1/3 and the y-intercept ("b" in y=mx+b) is just 0, so you dont have to write it
What is the value of the expression 9 x 4 - (2 x 1/2)
Answer:
35x
Step-by-step explanation:
Start with parentheses, 2 x 1/2 = 1
9 x 4 = 36
36 - 1 = 35
hi can somebody plz help me
Answer:Its the last one to the left up
Step-by-step explanation:
plzz help me with the correct ans find x
Answer:
15
Step-by-step explanation:
Since, triangle ABC is the enlargement of triangle XYZ.
[tex] \therefore \triangle ABC \sim \triangle XYZ[/tex]
So, corresponding sides of both the triangles would be in proportion.
[tex] \therefore \frac{x}{6}=\frac{25}{10}[/tex]
[tex] \therefore x= \frac{6\times 25}{10}[/tex]
[tex] \therefore x =\frac{150}{10}[/tex]
[tex] \therefore x = 15[/tex]
Question Which of these strategies would eliminate a variable in the system of equations? 2x - y = 11 5x + 3y = -11 How many possible solutions will this system have?
Answer:
Elimination (multiplication and subtraction)
There is 1 solution
Step-by-step explanation:
The only way to solve this system of equations is by elimination (multiplication). Let's say that we want to cancel out the x. You multiply the first equation by 5 and you multiply the second equation by 2.
Your equations now are:
10x-5y=55 and 10x+6y=-22
You can subtract these equations to get -11y = 77.
Now that we know that y = -7, we can substitute y in to solve x.
10x-5(-7) = 55
10x=20
x=2
Final answer (2,-7)
Teresa tiene 12 años , su hermano pere tiene 7 y su padre 44. QUANTOS AÑOS TIENE Q PASAR PARA Q LA SUMA DE LAS EDADES DE TERESA Y SPERE SEAN IGUALES
Answer:
Tienen que pasar 25 años para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre.
Step-by-step explanation:
Dado que Teresa tiene 12 años, su hermano Pere tiene 7 y su padre 44, para determinar cuántos años tienen que pasar para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre se debe realizar el siguiente cálculo:
12 + 7 = 19
44 - 19 = 25
44 + 25 = 69
(12 + 25) + (7 + 25) = 37 + 32 = 69
Por lo tanto, tienen que pasar 25 años para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre.
You are going to design a deck or a dock for your cottage. Your deck/dock must be a composite shape made out of 3 shapes - 2 will be "glued” together and 1 will be "cut out” of the other(s). You must use 3 different geometric shapes. Design your deck/dock by including a diagram with
measurements. Make sure your measurements are realistic! You will need material to make your deck/dock so determine the area of your deck/dock so you will know how much material you will need and how much space you will have to use.
What can you tell about a triangle when given three side lengths?
What can you tell about the relationship between the angles of a triangle and its sides?
Answer:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
Step-by-step explanation:
You basically look at the bar graph on the right and see which statement is true. Brainliest and thank you!
Answer:
d. if graphed, the ordered pairs would form a straight line.
3. For the following system of equations, complete a table of at least 5 points for each equation, then graph the system on the coordinate plane. Describe the solution.
y = -3x + 4
6x + 2y - 8 = 0
Answer:
I'll do it for the equation, then you can try to solve the second one. Of your not able to, just comment and I'll answer the second one
Step-by-step explanation:
y = -3x+4
When
___x__l _y____
0 l 4
1 l 1
2 l -2
3 l -5
4 l -8
Made this for twitch please answer this please
Which equation represents the formula for the general term, gn , of the geometric sequence 3 , 1 , 1/3 , 1/9 . . .?
Answer:
Explicit
gn = 3(1/3)^(n-1)
Recursive
gn =1/3gn-1
Step-by-step explanation:
3 , 1 , 1/3 , 1/9 . . .
gn = ar^(n-1)
Where,
a = first term = 3
r = common ratio = 1/3
Check:
g2 = ar^(n-1)
= 3(1/3)^(2-1)
= 3/3^(1)
= 1^1
= 1
The explicit formula is
gn = ar^(n-1)
gn = 3(1/3)^(n-1)
The recursive form for a geometric sequence is gn = rgn-1
recursive form for our sequence gn =1/3gn-1
Where,
gn = 3
Which of the following is/are equal to 3.4?i)314ii)5115iii)3410
5) Michelle and Autumn are at a gift shop. They each buy magnets and postcards. Michelle
buys 4 magnets and 6 postcards and spends $24. Autumn buys 2 magnets and 1 postcard and
spends $8. Which system of equation represents this situation? {2 points}
(4x + 6y = 24
a)
2x + y = 8
(4x + 6y = 8
b)
(2x + y = 24
c)
(4x + 2x = 24
y+by = 8
Answer:it has to be A
Step-by-step explanation:
What is the positive square root of 1
You want to find the positive square root of 1
Figure out which number squared (multiplied by itself) equals 1
The number 1 squared equals 1
1^2 = 1 × 1 = 1
So the positive square root of 1 is 1
[tex] \\ [/tex]
#CarryOnLearning!