Answer:
(x+2/3) (x^2 - 2)
Step-by-step explanation:
First we can seperate the problem
(x^3 + 2/3x^2) + (-2x - 4/3)
We factor x^2 out of the first parenthesis
x^2(x + 2/3) + (-2x - 4/3)
and factor -2 out of the second
x^2 (x+2/3) +-2 (x +2/3)
then we rewrite it as
(x+2/3) (x^2 -2)
-- Gage Millar, alg1/2 tutor
If 5mi ≈ 8km, how many miles would be equal to 50 km
Answer:
Too tired to go into detail so I just showed steps
Step-by-step explanation:
5mi = 8km ~~ Original
5/8mi = 1km ~~ Get 1km isolated
250/8mi = 50km ~~ Get 50km now
Given that rectangle ABCD has coordinates A(0,0), B(12,0), C(12,6), and D(0,6), F is the midpoint of AB¯¯¯¯¯, and G is the midpoint of CD¯¯¯¯¯, which of the following proves that FB=GC?
1. By the Distance Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6).
Then FB = 12, and GC = 12.
Thus FB = GC.
2. By the Distance Formula, the coordinates of F are (6, 12) and the coordinates of G are (6, 0).
Then FG = 6, and GC = 6.
Thus FG = GC.
3. By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6).
Then FB = 6, and GC = 6.
Thus FB = GC.
4. By the Midpoint Formula, the coordinates of F are (6, 6) and the coordinates of G are (6, 0).
Then FB = 6, and GC = 6.
Thus FB = GC.
The midpoint of the sides [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are the points that half way between [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] respectively.
The option that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3
3. By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]Reasons:
The given coordinates of the vertices of rectangle ABCD are;
A(0, 0), B(12, 0), C(12, 6), and D(0, 6)
The midpoint of side [tex]\overline{AB}[/tex] = Point F
The midpoint of side [tex]\overline{CD}[/tex] = Point F
The coordinates of point F is given by the midpoint formula, as follows;
[tex]\displaystyle \mathrm{The \ midpoint \ of \ a \ line \ with \ endpoints \ (x_1, \ y_1) \ and \ (x_2, \ y_2) = \mathbf{ \left(\frac{x_1 + x_2}{2}, \ \frac{y_1 + y_2}{2} \right) }}[/tex]
Which gives;
[tex]\displaystyle \mathrm{The \ coordinate \ of \ F \ the \ midpoint \ of \ \overline{AB} = \mathbf{ \left(\frac{0 + 12}{2}, \ \frac{0 + 0}{2} \right)} =(6,\ 0)}[/tex]
The coordinates of point F = [tex]\underline{(6, \ 0)}[/tex][tex]\displaystyle \mathrm{The \ coordinate \ of \ G \ the \ midpoint \ of \ \overline{CD} = \left(\frac{12 + 0}{2}, \ \frac{6 + 6}{2} \right) =(6,\ 6)}[/tex]
The coordinates of point G = [tex]\underline{(6, \ 6)}[/tex][tex]\overline{FB}[/tex] is parallel to the x-axis, therefore;
The length of [tex]\overline{FB}[/tex] = 12 - 6 = 6Similarly, [tex]\overline{GC}[/tex] is parallel to the x-axis, therefore;
The length of [tex]\overline{GC}[/tex] = 12 - 6 = 6Which gives;
[tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] = 6The correct option is that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3.
By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]
Learn more here:
https://brainly.com/question/17685913
https://brainly.com/question/17192852
Find the 60th term of the arithmetic sequence -10, 8, 26,
Answer:
a₆₀ = 1052
Step-by-step explanation:
There is a common difference between consecutive terms , that is
8 - (- 10) = 26 - 8 = 18
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 10 and d = 18 , then
a₆₀ = - 10 + (59 × 18) = - 10 + 1062 = 1052
Answer:
a(60) = 1052
Step-by-step explanation:
Note that when going from -10 to 8 we make a jump of 18; similarly, going from 8 to 26, we make a jump of 18 again. Thus, the common difference in this arithmetic sequence is 18, and given that the first term is -10, the sequence must be:
a(n) = -10 + 18(n - 1)
Therefore, the 60th term is
a(60) = -10 + 18(59), or
a(60) = 1052
HELP ORGENT
Tyrone has $95 to spend. He already bought pants for $22. How many $5 t-shirts can he buy if he wants to have at least $15 left over?
a. Write an inequality that demonstrates this situation
b. solve your inequality
c. Explain what your answer means to Tyrone
Answer:
it should be a.
Step-by-step explanation:
–3x + 4y = 8
-4x + 3y=-6
are these Graphs perpendicular, parallel, or niether.
Answer:
Step-by-step explanation:
hey i need help on this question even if you can only answer one of the three boxes
but if someone can do 2 or more that would be very apricated
thanks!
Answer:
I don't see boxes?
Step-by-step explanation:
I do not see any boxes sorry for the inconvenience
What is the greatest integer that satisfies the inequality below?
Answer:
Step-by-step explanation:
- 2x > 17
x < 17 ÷ ( - 2 )
x < - 8.5
x ∈ ( - ∞ , - 8.5 )
The greatest integer that satisfies the inequality is ( - 9 )
4f2 + 3h - g+f
A. 7fhg
B. 4f + 3hgf
C. Can’t be simplified
D. 5f2 + 3h - g
Answer:
can't be simplified or you can add you get the answer
what is the value of x?
Answer:
x=80
Step-by-step explanation:
70 + 30+x =180 (sum of angles in a triangle =180)
x=80
2. What is the average rate of change of the function f(x)=3x2 - 12 over the interval [1, 3]?
Answer:
5.2. Explanation: The average rate of change of the function f(x) on the interval [a,b] is: average rate of change=f(b)−f(a)b−a.
Step-by-step explanation:
SOMEONE HELP MEEEEE PLEASEEEEE
Answers:
A.(1.5,0.75)
B.(1.75,0.5)
C.(0.75,1.5)
D.(1.5,1.75)
D is the answer, not A
What is the Slope of the line that passes through points (4, -2) and (3, 1)?
Question 3 options:
2
3
-2
-3
Answer:
-2.......................
1/4 (-16x +8) distributive property
[tex] - 4x + 2 \\ \\ [/tex]
level Easy:
A football team loses 6 yards on their first play. it gains 8 yards on the next play. What is the sum of -6+8?
good luck :))
Answer:
2
Step-by-step explanation:
when you add -6 and 8 you'll get 2
If
x
=
2
and
y
=
6
, evaluate the following expression:
3
(
3
y
−
4
x
)
2
For the following Arithmetic Sequence, find the explicit form, and then find a 40
11, 1,-9, -19, ...
a40 =
an=
Answer:
see explanation
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 11 and d = a₂ - a₁ = 1 - 11 = - 10 , then
[tex]a_{n}[/tex] = 11 - 10(n - 1) = 11 - 10n + 10 = 21 - 10n ← explicit formula
Using the explicit formula to find a₄₀ , then
a₄₀ = 21 - 10(40) = 21 - 400 = - 379
-1/5 x 15/16 get 70 pts if u answer thisss tysmmm<3
Answer:
[tex]\frac{-3}{16}[/tex]
Step-by-step explanation:
[tex]\frac{-1}{5}[/tex] × [tex]\frac{15}{16}[/tex]
=> [tex]\frac{-15}{80}[/tex]
=> [tex]\frac{-3}{16}[/tex]
Hoped this helped.
HELPPPPPPP
Find the value of x for both
Answer:
x = 18 and x = 30
Step-by-step explanation:
The 3 angles lie on a straight line and sum to 180° , that is
90 + x + 4x = 180
90 + 5x = 180 ( subtract 90 from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
-------------------------------------
The 2 angles are corresponding and congruent , then
x = [tex]\frac{1}{2}[/tex] x + 15 ( multiply through by 2 to clear the fraction )
2x = x + 30 ( subtract x from both sides )
x = 30
Answer:
1. x=18 2. x=30
Step-by-step explanation:
For 1. the equation would be x+4x =90 as it is a 90 degree angle
So 5x=90 then x = 18
For 2. The 2 angles are the same so we set them equal to each other
x=1/2x+15
2x=x+30
x=30
I'll give brainliest i swear
Answer:
See below for answer.
Step-by-step explanation:
Absolute value represents the number of units that a value is from zero taken in account that there is a negative side and a positive side. Therefore in solving an absolute value equation, we must solve for the positive side and also the negative side.
Step-by-step explanation:
The absolute value is a means of measuring the distance of a number from the origin along the number line. Regardless of the position (positive or negative) of a number on the number line, its distance from the origin will be positive. Thus, the absolute value will always be positive, or 0 if if solving for the absolute value of 0).
Suppose that we're tasked to find the ansolute value of 8. As per the definition of absolute value of numbers, we know that -8 and 8 are both 8 units away from zero on the number line.
These same rules apply when solving absolute value equations, for which we have to set up the equations as positive and negative equations:
If a is positive, and |x| = a, then:
x = a or x = -a
What must be true about two objects of heat is flowing between them?
Answer:
that must mean that either the objects are giving off heat or the heat from one object is transferring to the air
Step-by-step explanation:
Answer:
The objects must be different temperatures.
Step-by-step explanation:
a%b when a=2 and b=1/2
Answer:
0.01
Step-by-step explanation:
Mrs. Rush puts $300 in a bank account that earns 5% interest every year. How much will be in the bank after 3 years? (make sure you include the $ sign and round your answers to two decimal places
Answer:
$945 no cents so no need to round the recimals
Step-by-step explanation:
$300 times the 5% is $15 dollars in interest
so in three years it would be an additional $45 dollars
Create a random triangle, ABC Measure and record its angles.
Answer:
a. 3.5
b.5.4
c 2.6
Step-by-step explanation:
/\_
solve pls brainliest
Answer:
$18.15
Step-by-step explanation:
45% of $33 = $14.85
$33 - $14.85 = $18.15
Which of the following is not an advantage of renting? a. Ease of mobility b. Fewer responsibilities c. Lower initial costs d. Restricted lifestyle Please select the best answer from the choices provided A B C D.
A restricted lifestyle is not an advantage of renting.
Option D is the correct answer.
What is renting?Renting a property has several advantages, such as ease of mobility, fewer responsibilities, and lower initial costs.
We have,
Ease of mobility is an advantage because it is easier for renters to move to a new location since they are not tied down to a specific property.
Fewer responsibilities are another advantage because the landlord is usually responsible for maintaining the property, making repairs, and paying for utilities.
This means that renters do not have to worry about these tasks or expenses.
Lower initial costs are also an advantage because renters do not have to pay for a down payment or closing costs, which can be a significant expense when purchasing a property.
A restricted lifestyle is not an advantage of renting.
This is because renters may be limited in terms of decorating, making changes to the property, or having pets.
Renters may also have to abide by certain rules set by the landlord or property management company.
This can limit their freedom and personalization of the space.
Thus,
A restricted lifestyle is not an advantage of renting.
Learn more about renting here:
https://brainly.com/question/26268428
#SPJ5
The home team scored 3 touchdowns. The visiting team scored 4 field goals. Which team scored more points? Show your strategy
Answer:
The home team
Step-by-step explanation:
1 touchdown is equal to 6 points (plus a extra point for the kick)
1 field goal is worth 3 points
If you are including the extra point as the touchdown it would be 7 pts times 3 touchdowns which would put the first team at 21 points total (if not including the extra point they would have 18 points)
For the 2nd team the have 3pts times 4 field goals which would put the visiting team at 12 points total.
The home team scored more points at 21 points versus the visiting team which had only scored 12 points.
I need help (if you can) the problem is Solve
the algebraic expression below.
(3)(0.2)+9
Answer:
9.6
Step-by-step explanation:
(3) * (0.2)=0.6
Then do 9+ 0.6
this will equal 9.6
Given m||n, find the value of x.
m
t
(5x-5)
(6x-27)
Step-by-step explanation:
due to the laws of symmetry of the angles of 2 crossing lines (and parallel lines are simply repeating and mirroring these angles), both angles must be equal.
5x - 5 = 6x - 27
-5 = x - 27
x = 22
Solve the proportion for v.
6
0]>
9 =
100
V
v = [?]
Answer:
v = 12
Step-by-step explanation:
[tex]\frac{9}{v}[/tex] = [tex]\frac{6}{8}[/tex] ( cross- multiply )
6v = 8 × 9 = 72 ( divide both sides by 6 )
v = 12
Answer:
v=12
9/v =6/8 (cross - multiply)
6v = 8 x 9 = 72 (divide both sides by 6)
v = 12
Step-by-step explanation:
that's my answer
covert 104% into a decimal
Answer:
104 divided by a 100
1.04
Step-by-step explanation:
it is the same as moving the decimal two places to the left