8(x+3)^2/2(x+3)
[8(x + 3)(x + 3)]/2(x + 3)
8 ÷ 2 = 4
(x + 3)(x + 3) ÷ (x + 3) = (x + 3). In other words, we cancel one of the numerator factors.
Answer: 4(x + 3).
The simplification of the given expression [8(x+3)²]/[2(x+3)] is 4(x + 3).
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that are all constrained and create an equation.
In other meaning, expression is beneficial to determine the end or root value of constraint.
As per the given expression,
[8(x+3)²]/[2(x+3)]
⇒ 8/2 × (x+3)²/(x+3)
⇒ 4(x+3)
Hence "The simplification of the given expression [8(x+3)²]/[2(x+3)] is 4(x + 3)".
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O triplo de um número inteiro X, pode ser representado por?
Answer:
hola
Step-by-step explanation:
8. Transform y = f(x) by translating it right 2 units. Label the new function
g(x). Compare the coordinates of the corresponding points that make
up the 2 functions. Which coordinate changes, x or y?
Please help ASAP!
Answer:
The X-coordinate changes.
Step-by-step explanation:
Write a slope-intercept equation of the line that passes through the points (4,11) and (6,8).
IN ADDITION TO THE EQUATION, YOU MUST IDENTIFY THE SLOPE AND Y-INTERCEPT OF YOUR EQUATION TO GET FULL CREDIT.
Answer:
y=[tex]\frac{3}{-2}[/tex]x +17
Step-by-step explanation:
[tex]\frac{11-8}{4-6}[/tex]=[tex]\frac{3}{-2}[/tex]=slope
11=[tex]\frac{3}{-2}[/tex] *4 + C
11=-6 + C
17=C=Y-intercept
a bank offers two different types of interest on saving accounts
account 1 pays 5.5 % simple interest
account 2 pays 5% interest compounded annually
deposits of 1000 are made into the accounts of each type. no additional Including
withdraws or deposits are made.
what amount is the closest to the interest earned in 5 years.
Answer:
(a) The closet to the simple interest eaened in 5 years is $275.00.
(b) The closet to the compound interest earned in 5 years is $276.28.
Step-by-step explanation:
These can be determine as follows:
(a) Simple Interest
The interest earned and be determined using the simple interest formula as follows:
Simple interest = P * R * T ....................... (1)
Where;
P = Principal = $1,000
R = interest rate = 5.5%
T = term = 5
Substituting the values into equation (1), we have:
Simple interest = $1,000 * 5.5% * 5 = $275.00
(b) Compound Interest
The interest earned and be determined using the compound interest formula as follows:
Compound interest = P(1 + R)^T - P ....................... (2)
Where;
P = Principal = $1,000
R = interest rate = 5%, or 0.05
T = term = 5
Substituting the values into equation (2), we have:
Compound interest = $1,000(1 + 0.05)^5 - $1,000 = ($1,000 * 1.05^5) - $1,000 = ($1,000 * 1.2762815625) - $1,000 =$1,276.28 - $1,000 = $276.28
Interest earned in savings Account 1 = 275
Interest earned in savings Account 2= 276.282
What is the difference between simple interest and compound interest?Simple interest is based on the principal amount of a loan or deposit. In contrast, compound interest is based on the principal amount and the interest that accumulates on it in every period.
interest earned by savings account 1
I₁=P*R*T/100
where,
P= Principal
R= rate of simple interest
T = time
I₁=1000*5.5*5/100
compound interest I₁=275
Interest earned by savings account2
amount A after n years= [tex]P(1+\frac{r}{100} )^n[/tex]
where,
A= amount received after 5 years
P= principal
r = rate(compound annually)
n = time
[tex]A = 1000(1+\frac{5}{100} )^5\\\\A=1276.282[/tex]
Compound interest I₂ = 1276.282-1000=276.282
Therefore,
interest earned in savings Account 1 = 275
interest earned in savings Account 2= 276.282
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HELPPPPPPP PLS MATH!! MKARKING BRAINNIEST!!!!!!!!!!
Find the sum of QR
4x+33
Answer:
Step-by-step explanation:
Simplifying
4x + 5 = 33
Reorder the terms:
5 + 4x = 33
Solving
5 + 4x = 33
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 4x = 33 + -5
Combine like terms: 5 + -5 = 0
0 + 4x = 33 + -5
4x = 33 + -5
Combine like terms: 33 + -5 = 28
4x = 28
Divide each side by '4'.
x = 7
Simplifying
x = 7
On a two week job a repairman works a total of 70 hours he charges 75$ plus 40$ per hour.An equation shows this realationship where x is the number of hours and y is the total fee
This question is incomplete
Complete Question
On a two week job, a repairman works a total of 70 hours. He charges $75 plus $40 per hour. An equation shows the relationship where x is the number of hours and y is the total fee. Write the equation. What is the slope and y-intercept?
Answer:
a)Write the equation.
y = 40x + 75
b) What is the slope and y-intercept?
The slope = 40
y - Intercept = 75
Step-by-step explanation:
On a two week job a repairman works a total of 70 hours. He charges 75$ plus 40$ per hour.
The equation shows this realationship where x is the number of hours and y is the total fee is given using the equation of a straight line which is given as:
y = mx + c
Where m = Slope
c = y intercept
Applying this equation to our question , we have:
y= 40x + 75
The slope = m = 40
y-intercept = c = 75
Answer:
75 y intercept.
Step-by-step explanation:
Please help with math
Answer:
the answer is "A"
Step-by-step explanation:
The manager of a hardware store is analyzing his monthly profit. In January, the
store earned a profit of $4,000. In February, the profit changed by -$450. In
March, the profit changed by +$600 from the previous month. How much profit,
in dollars, did the company make in March?
whats -9+2345+5678+4567
Answer:
I got 12581
Step-by-step explanation:
23. ANALYZING EQUATIONS
The cross section (with
units in inches) of a parabolic satellite dish can be modeled by the equation y=1/38 x^2
How far is the
receiver from the vertex of the cross section? Explain.
Answer:
9.5 in
Step-by-step explanation:
The receiver is placed at the focus of the parabola at a distance of 1/4a from the vertex. Here that would be 1/(4*(1/38)) or 38/4 inches or 9.5 in
The receiver lies 9.5 inches far from the vertex of the cross-section.
Given that,
The cross-section (with units in inches) of a parabolic satellite dish can be modeled by the equation y=1/38 x².
To determine how far is the receiver from the vertex of the cross-section.
A parabola is a cross-section cut out of the cone and represented by an equation, y =4ax².
Here,
The receiver is located near the parabola's focus, 1/4a away from the vertex. That would be 1/(4×(1/38)) or 38/4 inches or 9.5 in. in this case.
Thus, the receiver lies 9.5 inches far from the vertex of the cross-section.
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how do I compare y intercepts and rates of change.
points (2, 5) and (-1, -4) and determine the equation of the line.
What is 111/6 and 4 1/3 as an improper fractions?
Answer:
Step-by-step explanation:
111/6 = 37/2
4 1/3 = 13/3
Solve the following system of equations.
6x + y = -3
6x + 5y = 9
please helpp
Answer:
x=3
y=-1
Step-by-step explanation:
Rate me brainliest pls
Someone please help me with this chart, I don’t understand it.
Answer:
The second one is (3 x 3 x 3 x 3) x (3 x 3)
Step-by-step explanation:
consider the function f(x) =4x-5. What is the domain value that correspons to an output of f(x) = 11
A 13-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?
The ladder reaches ___ feet up the wall (round to the nearest humdredth)
Answer:
12
Step-by-step explanation:
What are the solutions to this quadratic equation?
-2x^2+x+4=0
Answer:
Well I got [tex]\frac{1}{4} plus or minus \sqrt{33}[/tex]
Step-by-step explanation:
1/4±[tex]\sqrt{33}[/tex]
Answer:
The person above is correct this is just confirmation
Step-by-step explanation:
Ill give brainlist.
Answer:
True
Step-by-step explanation:
(0,-1) lands on the y-axis
Answer:
the answer is false
Step-by-step explanation:
bc the line is not on 0,-1
hope this helped ^^
At the end of the harvest season, Omar wonders if it is time to cover the garden with a tarp. He understands that as the temperature decreases, moisture in the air condenses into dew which freezes at 0 degrees Celsius and may damage the plants in the garden.
Answer:
no clue im stuck on it to
Step-by-step explanation:
Answer:
No Omar does not have to put the blanket
Step-by-step explanation:
The answer is No ,because since Omar only covers the plant when its below 0 , And when the temperature is 5 degrees Celsius at 4:00 pm and the temperature is predicted to decrease 0.5 degrees Celsius every two hours until 4:00 am. So 6 times 0.5 =3 so 5 - 3 = 2
Show work
4:00 pm Fact : And very two hrs 0.5 degrees .
5:00 pm 1
6:00 pm 2 = 0.5
7:00 pm 1
8:00 pm 2 = 0.5
9:00 pm 1
10:00 pm 2 =0.5
11:00 pm 1
12:00 pm 2 =0.5
1 :00 Am 1
2: 00 Am 2 =0.5
3:00 Am 1
4:00 Am 2= 0.5
I need help with this math problem. If you can please give me an explanation.
Answer:
see explanation
Step-by-step explanation:
Calculate the values of y by substituting the values of x into y = - 6x + 2
x = - 5 → y = - 6(- 5) + 2 = 30 + 2 = 32
x = - 1 → y = - 6(- 1) + 2 = 6 + 2 = 8
x = 0 → y = - 6(0) + 2 = 0 + 2 = 2
x = 1 → y = - 6(1) + 2 = - 6 + 2 = - 4
Thus
x y
- 5 32
- 1 8
0 2
1 - 4
Answer:
32
8
2
-4
Step-by-step explanation:
The question is asking you to fill in the table for each value of x. That might sound a little confusing at first... but it's simpler than you think.
The equation y = -6x + 2 is important for the entire problem. What the equation means... is that (-6 times x) + 2 equals y. What does that mean? Let's take a look.
In this equation, x and y are variables. That means that they can be any number... for now they are just holding the place of any number. For example... x + 2 = 4. In this equation... x has to be 2. The same idea is being applied here.
If you want to find what "y" is equal to... you have to replace "x" with the number that the table gives you.
For example... the table asks us to find "y" when "x" is -5.
y = -6 (-5) + 2
y = 30 + 2
y = 32
(It's important to remember that if you multiply two negative numbers... you get a positive product.)
Repeat this process for all of the other values they ask for "x" to get an answer for "y"
I hope this helped :) If not, I'll try and help some more!
In isosceles triangle ABC the segment BD is the median to base line AC. Find BD if the perimeter of the triangle is 50m and the perimeter of ABD is 40 m
Answer:
BD = 15 m
Step-by-step explanation:
Mathematically, we can find the perimeter of a triangle by adding all of the sides
Mathematically, the line from the top vertix of an isosceles triangle is perpendicular to the base line
So what this mean is that it splits the base line into 2 equal parts
So, in this case, since AC is base;
AD = CD
Please check the attachment for diagrammatic representation
So from the diagram;
25-x + x + BD = 40
25 + BD = 40
BD = 40-25
BD = 15 m
The price of an item in a shopping cart is c dollars. If the sales tax on the item is 9%, and the expression c + 0.09c represents the total cost of the item after tax, which TWO EXPRESSIONS also represent the total cost of the item after tax?
A) 0.9c
B) 1.09c
C) 1.9c
D) (1 – 0.09)c
E) (1 + 0.09)c
If you factor c + 0.09c, we get c(1 + 0.09), which is the same as (1 + 0.09)c.
If we add the numbers inside the parentheses (1 + 0.09)c we get 1.09c.
The answer is choice B and E.
A line passes through point (8, -2) and has a slope of -5/4
Write an equation in Ax+By= C form for this line.
Use integers for A, B, and C.
show work on how you got it
Answer:
4y+5x=32
Use slope intercept form, then change to Ax+By= C form.
What is the equation of the line that passes through the point (-6,6) and has an undefined slope ?
Answer:
x = -6
Step-by-step explanation:
pleaseeee helpppp!! thank you sm:(
Answer:A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
x-5 has to be less than -2 and the inequality sign goes the opposite direction than the arrow on the number line
In the year 2000, the United States had about 100,300,000 people registered to use cellular phones. How would this number of people be written in scientific notation?
Answer:
1.003 * 10^8
Step-by-step explanation:
Given that :
The United States has about 100,300,000 registered to use cellular phones in the year 2000
100,300,000 in scientific notation:
(100,000,000) + (300,000)
(1 * 10^8) + (3 * 10^5)
To ensure equal power :
300,000 = 3 * 10^5 = 0.003 * 10^8
Hence,
(1 * 10^8) + (0.003 * 10^8)
(1 + 0.003) * 10^8
1.003 * 10^8
Use the value of y (y=4) that you found for part b to correctly find the measures of AX and BD and list each step for each.
Use the figure below:
Answer:
AX and BD have the same lenght
Step-by-step explanation:
So BD= 2*(y+4) -> 2*(4+4) = 16
and AX is the same lenght as BX so: AX = y+4 -> 4+4 = 8
hello can u help plz?
Answer:
slope would be 3 or 3/1
Step-by-step explanation:
I think i'm not totally sure it could be -3 or -3/1