Answer:
1. 3 dimes
2. 1 quarter and a nickel
3. 30 pennies
Step-by-step explanation:
i hope this is it and i hope this helped <3
Answer:
3 nickels, 1 quarter and 5 pennies, and 30 pennies
Step-by-step explanation:
30% of a dollar is 30 cents. those all equal 30 cents
i need help on these
and no im not in college lol
Answer:
4) d. 30%. 5) 55/21. 6) 16
Step-by-step explanation:
4) 6/20 × 100 = 30%
5) Change mixed numbers to fraction. So you're getting 58/7 - 17/3. LCM = 21
= 174 - 119 / 21
= 55 / 21
6) Change to fraction
8/3 ÷ 1/6
= 8/3 × 6/1
= 16
The ratio of the measures
of the angles of a triangle is
6:10:2. What is the measure of
the smallest angle.
Answer:36
Step-by-step explanation:
You would add 6x + 10x + 2x = 180 then add your xs to get 18x =180 divide to 18 then multiply by 2 and get 35 :)
Learning Task 1: Write and answer the following in your answer sheet
1. Evaluate the following polynomials in your answer sheet.
f(x) = x4 – 7x2 + 2x - 6
x=1
b. f(x) = 10x3 + 4x2 - 5
x = -3
f(x) = x4 + 5x3 - 2x + 3
a.
at
at
C.
find (2))2
2. Factor each polynomial completely using any method
(x + 1)(x2 – 5x + 6)
b. (x2 - * - 6)(x2 + 6x + 9)
x3 + 3x2 - 4x - 12
a.
C.
LABAR
Answer:
Evaluating Polynomials:
a. f(1) = -10
b. f(-3) = -239
c. f(2)² = 3125
Factoring Polynomials:
a. (x + 1)(x² - 5x + 6) = (x + 1)(x - 3)(x - 2)
b. (x² - x - 6)(x² + 6x + 9) = (x - 3)(x + 2)(x + 3)(x + 3)
c. x³ + 3x² - 4x - 12 = (x + 3)(x - 2)(x + 2)(x - 2)(x + 2)
A polynomial can be evaluated and factored by long division, factoring and synthetic division methods.
1. Evaluate polynomials
[tex]\mathbf{f(x) = x^4 - 7x^2 + 2x - 6}[/tex]
Substitute 1 for x
[tex]\mathbf{f(1) = 1^4 - 7(1)^2 + 2(1) - 6}[/tex]
[tex]\mathbf{f(1) = 1 - 7 + 2 - 6}[/tex]
[tex]\mathbf{f(1) = -10}[/tex]
[tex]\mathbf{f(x) = 10x^3 + 4x^2 - 5}[/tex]
Substitute -3 for x
[tex]\mathbf{f(-3) = 10(-3)^3 + 4(-3)^2 - 5}[/tex]
[tex]\mathbf{f(-3) = -270 + 36 - 5}[/tex]
[tex]\mathbf{f(-3) = -239}[/tex]
[tex]\mathbf{f(x) =x^4 + 5x^3 - 2x + 3}[/tex]
Substitute 2 for x
[tex]\mathbf{f(2) =2^4 + 5(2)^3 - 2(2) + 3}[/tex]
[tex]\mathbf{f(2) =16 + 40 - 4 + 3}[/tex]
[tex]\mathbf{f(2) =55}[/tex]
Square both sides
[tex]\mathbf{f(2)^2 =3025}[/tex]
Hence, the results of evaluating the polynomials are [tex]\mathbf{f(1) = -10}[/tex], [tex]\mathbf{f(-3) = -239}[/tex] and [tex]\mathbf{f(2)^2 =3025}[/tex]
2. Factor the polynomials
[tex]\mathbf{(x + 1)(x^2 - 5x + 6)}[/tex]
Expand
[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x^2 - 2x - 3x + 6) }[/tex]
Factorize
[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x(x - 2) - 3(x - 2) )}[/tex]
Factor out x - 2
[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x - 3)(x - 2) }[/tex]
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9)}[/tex]
Expand
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x^2 +2x - 3x - 6)(x^2 + 3x +3x + 9)}[/tex]
Factorize
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = [x(x +2) - 3(x + 2)][x(x + 3) +3(x + 3)]}[/tex]
Factor out x + 2 and x + 3
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = [(x - 3) (x + 2)][(x + 3)(x + 3)]}[/tex]
Remove square brackets
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x - 3) (x + 2)(x + 3)(x + 3)}[/tex]
[tex]\mathbf{x^3 + 3x^2 - 4x - 12}[/tex]
Factorize
[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = x^2(x + 3) - 4(x + 3)}[/tex]
Factor out x + 3
[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x^2 -4) (x + 3)}[/tex]
Apply the difference of two squares
[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x -2)(x+2) (x + 3)}[/tex]
Hence, the results of factoring the polynomials are [tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x - 3)(x - 2) }[/tex], [tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x - 3) (x + 2)(x + 3)(x + 3)}[/tex] and [tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x -2)(x+2) (x + 3)}[/tex]
Read more about polynomials at:
https://brainly.com/question/11536910
write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)
Given:
The endpoints of a diameter are (0,0) and (4,-6).
To find:
The equation of the circle.
Solution:
The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(-6-0)^2+(4-0)^2}[/tex]
[tex]d=\sqrt{36+16}[/tex]
[tex]d=\sqrt{52}[/tex]
[tex]d=2\sqrt{13}[/tex]
Now, radius is half of the diameter.
[tex]r=\dfrac{2\sqrt{13}}{2}[/tex]
[tex]r=\sqrt{13}[/tex]
Center of the circle is the midpoint of the endpoints of a diameter.
[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)[/tex]
[tex]Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)[/tex]
[tex]Center=\left(2,-3\right)[/tex]
Standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) is center and r is radius.
The center of the circle is (2,-3) and radius is [tex]\sqrt{13}[/tex]. So,
[tex](x-2)^2+(y-(-3))^2=(\sqrt{13})^2[/tex]
[tex](x-2)^2+(y+3)^2=13[/tex]
Therefore, the standard form of the circle is [tex](x-2)^2+(y+3)^2=13[/tex].
whats 937478485873737+98477573838837÷83747478483838??jjdjf?
Answer:
9.3747849e+14
Step-by-step explanation:
Djdjeieiwnqn
Step-by-step explanation:
PLEASE I NEED HELP
Which situation can be represented by the inequality x< 56?
Answer:
Tina's height is x inches. She is shorter than her brother, whos height 56 inches.
Step-by-step explanation:
Let the height of Tina = x inches
and the height of her brother = 56 inches
if Tina is shorter than her brother then,
x < 56 inches
There were 40 desks in a class. The teacher wanted to arrange the desks in a rectangle with at least 4 desks in each row and column. Which of the following is a possible desk arrangement?
A) 20 rows and 20 columns
B) 5 rows and 8 columns
C) 2 rows and 20 columns
D) 7 rows and 7 columns
Answer:
B) 5 Rows and 8 Columns
Step-by-step explanation:
First you take the information from the question to know that C is wrong. This is because It has only 2 desks in rows and the question asks for 4 desks in rows and columns. Next you know that you have 40 desks so the two numbers need to multiply to 40. This makes A and D wrong, leaving your answer as B.
2(3x + 1)-3(x + 2) = 2
Answer:
Step-by-step explanation:
2(3x+1)-3(x+2)
or,6x+2-3x+6=2
or,6x-3x=6-2+2
or,3x=6
or,x=2
What is the value of the expression?
Answer:
2/0 or infinity
Step-by-step explanation:
give a description of the rules for the order of operation in your own words
Answer:
Order of opoation is a techniqe that gives us a easier way to figure out work
Step-by-step explanation:
Please mark me as brainiset
What is 1/2 percentage of a whole number (show work if u can) HELP IM DUM
Answer:
50%?
Step-by-step explanation:
caleb bought 6 packs of pencils for $18. How much will he pay for 8 packs of pencils.
Answer:
The answer is 24$.
Step-by-step explanation:
If Caleb bought 6 packs of pencils for 18$, each pack of pencils may be 3$.
If Caleb buys 8 packs of pencils for 3$, the answer would be 24$.
5.) Which is the best description of the table
below?
A. Linear because there is a constant rate of change
B. Linear because the X values increase by 1 each time
C. Nonlinear because there is not a constant rate of change
D. Nonlinear because the X values are positive while the Y values are negative
Answer:
I'm not quite sure but I tink its A
Is the following table proportional or non-proportional?
Answer: Proportional
Step-by-step explanation: 8 goes into 36, 2 goes into 24, and 5 goes into 10
The sum of seven and the quotient of a number x and 8
Answer:
The answer is 0.875.
Step-by-step explanation:
7 / 8 = 0.875.
0.875 x 8 = 7. (To check answer)
pleas help me with this
Answer:
B by Pythagorean theorem
Step-by-step explanation:
20² = 12² + 16²
Sarah wants to raise her math grade to a 98 to improve her chances of winning a math scholarship. Her math average for the last marking period was an 85. By what percentage of points must Sarah raise her grade to earn a 98? No, the answer is not 13%.
Question 1 options:
approximately 15%
approximately 14%
approximately 13%
approximately 12%
Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.”
Javier writes the equation (10 + two-thirds) a = 50, where a is the tree’s age in years. His equation is not correct. What error did he make?
Answer:
Javier's equation is not correct because the variable "a" should be multiplied by only and then added to
Step-by-step explanation:
Let
a------>is the tree’s age in years
we have that
-------> Javier's equation
we know that
The equation that represent the situation is equal to
Solve for a
Multiply by both sides
Javier's equation is not correct because the variable "a" should be multiplied by only and then added to
Answer all questions and the topic is about ordering decimals and don't answer if u do not know.
Answer:
31. 0.93, 0.9, 0.33
27. 6.13, 6.14, 6.31
28. 3.09, 3.19, 3.9
29. 12.96, 12.83, 12.8
25. 9.06, 9.6, 9.66
26. 0.09, 0.67, 0.86
Step-by-step exp
The perimeter of a yard is 60 meters. The length is six less than twice the width. What are the dimensions of the yard?
Length = 18 meters,
Width = 12 meters
B
Length = 36 meters,
Width = 24 meters
C
Length = 24 meters,
Width = 36 meters
D
Length = 12 meters,
Width = 18 meters
Answer:
Length = 18 meters,
Width = 12 meters
Step-by-step explanation:=
Step one:
given data
perimeter= 60 meter
let the width be x
W=x
L=(2x-6)
Step two:
we know that perimeter of a rectangle is given as
P=2W+2L
60=2x+2(2x-6)
60=2x+4x-12
60=6x-12
collect like terms
6x= 60+12
6x=72
divide both sides by 6
x=72/6
x=12
Width is 12m
from L=(2x-6)
L=2*12-6
L=24-6
L=18m
please help asap!!!!!
Answer:
angle RQS
Step-by-step explanation:
In quadrilateral ABCD m < A= 90°
m 2 C = 50° and m < B = m D.
Find the degree measure of < B.
Answer:
m∠B = 170°
Step-by-step explanation:
Sum of all angles in quadrilateral is 360°:
m∠A + m∠B + m∠C + m∠D = 360°
m∠B = 360° - m∠A - m∠C - m∠D
m∠A = 90°
m∠B = m∠D= 50°
m∠B = 360° - 90° - 50° - 50° = 170°
Please help I really CANNOT get this wrong so pls:
2x-7-5(4x-7)
Answer:
Step-by-step explanation:
2x - 7 -5(4x-7)
2x - 7 -20x + 35
-18x + 28
Answer:
-18x + 28
Step-by-step explanation:
2x-7-5(4x-7)
1. Distributive Property
2x - 7 - 5*4x - 5*-7 ( 2 negatives make a positive)
2x - 7 - 20x + 35
2. Combine like terms
2x - 7 - 20x + 35
-18x + 28
you cannot simplify it anymore
What is the distance formula?
O A. vz , }} - { *2 = x; }
O B. 1 + 2 + x; } } -(x2 + y }}
O D. (x2 - x; } + {12 - y}
Answer:
D) [tex]\sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1} )^{2} }[/tex]
Step-by-step explanation:
Explanation:-
Let ( x₁, y₁) and ( x₂, y₂) be the two points
Distance formula
d = [tex]\sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1} )^{2} }[/tex]
Find the values of the variables in the parallelogram.
Step-by-step explanation:
We can find x very easily because the left and right sides are parallel,making the diagonal connecting them a transversal therefore x=33°
To find y we know that the sum of interior angles of a triangle is 180°
y+109°+33°=180°
y+142°=180°
y=38°
Now,
x+38°+z=180
33+38+z=180
z=180-71=109°
r
__ = 1.5
14
what does r equal
Answer:
answer is r=21
Step-by-step explanation:
multiply 1.5 with 14
Which fraction is equivalent to 2/6?
Answer:
1/3 or one third
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
2/6 = ?
You can simplify this fraction
2/6 = 1/3
Which statement is true about the line whose equation is y=-2x-5?
(1) it’s slope is -2
(2)it’s parallel to the line whose equation is y=-2x+5
(3) it’s y intercept is -5
(4)it’s perpendicular to the line whose
Equation is y=1/2x-5
Answer:
2
Step-by-step explanation:
I think dont come at me if I'm wrong
Answer:
1, 3, and 4 are true
Step-by-step explanation:
1. y=mx+b, m is the slope
2. Parallel lines have the same slope. -2 is not equal to 2
3. y=mx+b, b is the y-intercept
4. Perpendicular lines,
If you multiply the slopes and the result is -1.
-2 times 1/2
-1
3 + 5a
how many terms are in the expression
