Answer:
[tex]a_{n}[/tex] = 9 - 6n
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = - 3 - 3 = - 9 - (- 3) = - 15 - (- 9) = - 6
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = - 6 , thus
[tex]a_{n}[/tex] = 3 - 6(n - 1) = 3 - 6n + 6 = 9 - 6n
.....................
Answer:
...?
Step-by-step explanation:
What is true about the slope of two equations that have no solution?
Answer:
slopes are equal
Step-by-step explanation:
If the 2 equations have no solution then the lines are parallel and never intersect.
Parallel lines have equal slopes.
Answer:
according to our rules ,we can find the formula for the slope by talking the first derivative
3 (5р — 3) = 5 (p — 1)
If 4x+5=13x+4-x-9 then x= ?
Answer:
x = 5/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Equation
4x + 5 = 13x + 4 - x - 9
Step 2: Solve for x
Combine like terms: 4x + 5 = 12x - 5Subtract 4x on both sides: 5 = 8x - 5Isolate x term: 10 = 8xIsolate x: 5/4 = xRewrite: x = 5/4Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 4(5/4) + 5 = 13(5/4) + 4 - 5/4 - 9Multiply: 5 + 5 = 65/4 + 4 - 5/4 - 9Add: 10 = 81/4 - 5/4 - 9Subtract: 10 = 19 - 9Subtract: 10 = 10Here we see that 10 does indeed equal 10.
∴ x = 5/4 is the solution to the equation.
For f(x) = -3x + 8 , find f(x) when x = -2
help pls ill mark u brainliest :(
Answer:
edfghjkoijuhgyfdsdfghjkl
Step-by-step explanation:
Parkside High School was having a talent show to raise money. It was x dollars for adults and $8 for students. Stephanie's family had 4 adults and 1 student. Her family paid $48 to see the show. Write an equation for the word problem. Use the variable x and leave no spaces.
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
Given
$x per adult
$8 per student
Population:
[tex]Students = 1[/tex]
[tex]Adults = 4[/tex]
[tex]Total = \$48[/tex]
Required
Determine the equation and solve for x
The system can be analyzed as thus:
The cost for 4 adults is: 4 * x
The cost for 1 students is: 8 * 1
Total Amount is: 48
From the analysis above, the equation is:
[tex]4 * x + 8 * 1 = 48[/tex]
[tex]4 x + 8 = 48[/tex]
Subtract 8 from both sides
[tex]4 x + 8 -8= 48 - 8[/tex]
[tex]4 x= 40[/tex]
Solve for x
[tex]x = 40/4[/tex]
[tex]x = 10[/tex]
On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 15 and length of 13. Rectangular base of arrow has length of 11 and height of 12. All units are in centimeters. Calculate the area of the arrow by decomposing it into rectangles and triangles.
Answer:
229.5[tex]cm^{2}[/tex]
Step-by-step explanation:
In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...
Ar = l * h
Ar = 11cm * 12cm
Ar = 132 [tex]cm^{2}[/tex]
Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...
At = [tex]\frac{h * b}{2}[/tex]
At = [tex]\frac{15cm * 13cm}{2}[/tex]
At = [tex]\frac{195cm^{2} }{2}[/tex]
At = 97.5[tex]cm^{2}[/tex]
Now we simply add both areas together to calculate the total area of the arrow...
132[tex]cm^{2}[/tex] + 97.5[tex]cm^{2}[/tex] = 229.5[tex]cm^{2}[/tex]
168 plese give me brainlyest
Richard and Linda enjoy visiting Hilton Head Island, South
Carolina. The distance from their home to Hilton Head is
975 mi, so the drive takes them 2 days. Richard and Linda
travel twice as far the first day as they do the second day.
How many miles do they travel each day?
Answer:
first day: 650, second day: 325
Step-by-step explanation:
Let x be the number of miles travelled on the second day and 2x the number of miles travelled on the first day. They add up to 975.
2x+x=975
3x=975
x=325
x represents the number of miles travelled on the second day so they travelled 650 miles on the first day and 325 miles on the second day.
Answer:
650 miles the first day, 325 miles the second day
Step-by-step explanation:
We can call the distance they traveled on the first day as 2x and the distance they traveled on the second day as x. The former is 2x because they traveled twice as far the first day compared to the second day. Since the total distance traveled is 975 miles, we can write the following equation to solve for x:
[tex]2x + x = 975[/tex]
[tex]3x = 975[/tex] (Simplify LHS; 2x + x = 3x)
[tex]\frac{3x}{3}=\frac{975}{3}[/tex] (Divide both sides of the equation by 3 to get rid of the coefficient on x)
[tex]x = 325[/tex] (Simplify)
Therefore, [tex]2x = 2 * x = 2 * 325 = 650[/tex] so the final answer is they traveled 650 miles the first day and 325 miles the second day. Hope this helps!
Factor the following expression 2x^2 - 11x+12
Answer:
(2x-3)(x-4)
Step-by-step explanation:
In the interval,
[0,2), what are the solutionms of the equation sin x =-1/2?
Answer:
Step-by-step explanation:
Could some one solve this for me? I’m to dumb
Answer:
we haul y=.045x+20
you haul y=1x
[tex]\frac{a}{5}[/tex] + 3=8
need help asap!!!!!!!
Answer:
cant see it do a better job at taking pitchers i will help you but i cant so c its a bad pitcher and yeah bye hope you have a good day
Step-by-step explanation:
What is the solution to the equation 4x plus 2(x-3) equals 3x plus x minus 12
Answer:
[tex]\huge\boxed{x=-3}[/tex]
Step-by-step explanation:
[tex]4x+2(x-3)=3x+x-12\qquad|\text{use the distributive property}\\\\4x+(2)(x)+(2)(-3)=3x+x-12\\\\4x+2x-6=3x+x-12\qquad|\text{combine like terms}\\\\(4x+2x)-6=(3x+x)-12\\\\6x-6=4x-12\qquad|\text{add 6 to both sides}\\\\6x-6+6=4x-12+6\\\\6x=4x-6\qquad|\text{subtract}\ 4x\ \text{from both sides}\\\\6x-4x=4x-4x-6\\\\2x=-6\qquad|\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{-6}{2}\\\\x=-3[/tex]
Plsssss help!!!!!!!!
Answer:
n=6t
Step-by-step explanation:
6 cars parked per hour
t is the hours
6 is the slope
y=mx+b
n=6t
Hope this helps.
Which relations are functions?
Select Function or Not a function for each graph.
3. Which is an estimate of the square root of 15 to the nearest tent
3.9
1.5
3.8
4.1
Answer:
1.5
Step-by-step explanation:
What basic construction is shown here?
1) Bisect a line segment
2) Construct a parallel line
3) Construct a perpendicular line
4) Construct a perpendicular bisector
The lengths of adjacent sides of a rectangle are 572 units and 8,2
units. The perimeter is 5/2+8/2 +5,2 +8/2.
What is the simplified perimeter, in units, of the rectangle?
Answer:
13 units
Step-by-step explanation:
Giveb that :
Perimeter = 5/2 + 8/2 + 5/2 + 8/2
Hence, sum of the perimeter will be ;
The L. C. M of the denominator = 2
(5 + 8 + 5 + 8) / 2
= 26 / 2
= 13 units
Hence, the perimeter of the rectangle is 13 units
what is 8 × 1 + 3 × 0.1 + 9 × 0.01 in standard form
Answer:
0.216
Step-by-step explanation:
[tex]8 \times 1 \times 3 \times 0.1 \times 9 \times 0.01\\\\=(8\times1)(3\times0.1)(9\times0.01)\\\\=8(0.3)(0.09)\\\\=(8\times0.3)(0.09)\\\\=(2.4)(0.09)\\\\=2.4\times0.09\\\\=0.216[/tex]
is this the standard form?
Here is a list of ages (years) of children in a room:
8, 8, 5, 1, 2, 5, 4
State the median.
Answer:
5
Step-by-step explanation:
The median is the middle number when they are put in order from smallest to largest
1,2,4,5,5,8,8
There are 7 number so the middle is between 4th number
1,2,4 ,5 ,5,8,8
The median is 5
[tex]\sf Answer: [/tex]
[tex]\sf 5 [/tex]
[tex]\sf Step-by-step~explanation: [/tex]
[tex]\sf List~the~numbers~in~order,~from~least~to~greatest. [/tex]
[tex]\sf 1 2 4 5 5 8 8 [/tex]
[tex][The~middle~number~is~5,~so~the~answer~is~going~to~be~5.[/tex] [tex]This~is~because~a~median~is~the~number~in~the~middle.[/tex] [tex]''~The~median~is~the~middle~number~in~a~sorted,~ascending~or~descending,~[/tex] [tex]list~of~numbers~and~can~be~more~descriptive~of~that~data~set~than~the~average~'' ][/tex]
How do you get the fully simplified slope-intercept form?
Answer:
y = 3x - 7
Step-by-step explanation:
Slope-intercept form:
y = mx + b
Where:
y is the y value.
m is the slope.
x is the x value.
And b is the y-intercept.
First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:
m = rise/run
m = 3/1
m = 3
With the slope formula, you first need to choose two points.
I chose:
(2, -1) and (3, 2)
Slope formula:
m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}
m = (2 - (-1)) / (3 - 2)
m = 3/1
m = 3
Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:
y-int = -7
To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.
I chose:
(2, -1)
y = 3x + b
-1 = 3(2) + b
-1 = 6 + b
-1 - 6 = b
b = -7
Now you have your final answer:
y = 3x - 7
6th grade math i mark as brainliest
Answer:
the answer is 8 bro
Step-by-step explanation:
4 to the power of 2 = 4 x 2 = 8
Answer
that is a hard one
Step-by-step explanation:
[205.8-[4^(2)]+5]*4= 779.2
for the first one
solve What is 13.789 rounded to the nearest tenth?
Answer:
13.8
Step-by-step explanation:
8 is greater than 4 so you round up and get 13.8
Question 12(Multiple Choice Worth 3 points)
(02.04 MC)
Which of the following statements describes an interaction between the atmosphere and biosphere?
Water and its vapor move through air.
Earth's internal heat warms the layer of air around it.
Oceans provide an environment for sustaining marine life.
Life is possible on Earth due to layers of air that surround it.
Answer:
life is possible on earth due to layers of air that surround it
Identify the end behavior brain list for whoever gets it right
Answer:
Number 4, the last one
Step-by-step explanation:
The answer is the first choice.
For every odd-degree polynomial function,
When x approaches positive infinity, y approaches positive infinity.
When x approaches negative infinity, y approaches negative infinity.
As shown in the graph, substituting x into any numbers that are greater than 3 and you'll see how the graph heads toward y-value infinitely.
Please may someone help me with this question thank you
Answer:
C. [tex]\frac{12}{7}[/tex]
Step-by-step explanation:
To find the slope when you know two points, use this formula:
M = y₂ - y₁ ÷ x₂ - x₁
M = (4 - (-8)) ÷ (0 - (-7))
M = 12 ÷ 7
M = [tex]\frac{12}{7}[/tex]
Hope that helps.
If 2i-2+i - 2i/3+i = a+bi then a= and b=
Answer:
a=-2 and b=10/3
Step-by-step explanation:
Given that [tex]2i-2+i-\frac{2i}{3}+i=a+bi[/tex].
[tex]\Rightarrow -2+2i+i-\frac{2i}{3}+i=a+bi \\\\\Rightarrow -2+(2+1-2/3+1)i=a+bi \\\\\Rightarrow -2+\frac{10}{3}i=a+bi[/tex]
On comparing the real and imaginary parts, we have
a=-2 and b=10/3.
[tex]y \times 3 = 27 \times 10[/tex]