Answer:
1. x= 11+-27
2.x = 7.5 + -1y
Step-by-step explanation:
1. Move all terms containing x to the left, all other terms to the right.
Add '-4y' to each side of the equation.
2x + 4y + -4y = 22 + -4y
Combine like terms: 4y + -4y = 0
2x + 0 = 22 + -4y
2x = 22 + -4y
Divide each side by '2'.
x = 11 + -2y
Simplifying
x = 11 + -2y
2.Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
2x + 2y + -2y = 15 + -2y
Combine like terms: 2y + -2y = 0
2x + 0 = 15 + -2y
2x = 15 + -2y
Divide each side by '2'.
x = 7.5 + -1y
Simplifying
x = 7.5 + -1y
What is the percent error for a measurement of 5 yards?
Write your answer using a percent sign (%). For example, 0.5%, 12.7%, or 56%.
20 POINTS
ALGEBRA Evaluate the expression when X-
2 and = is - 1/5
Answer:
x=9/5
Step-by-step explanation:
x-2=-1/5
x=9/5
PLEASE EXPLAIN (Arithmetic Sequences )
If u59 = 1/10 and u100 = 1 19/20 for an arithmetic sequence, find the first term and the common difference
Please please please help!! I need this URGENT
Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?
Give your answer to the nearest penny where appropriate.
Answer:
So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years
Step-by-step explanation:
Answer:
£
2516.22
Step-by-step explanation:
£
2516.22
please help me prove the identity
Answer:
[tex]\frac{1-\tan x }{1+\cot x}[/tex]
Step-by-step explanation:
Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:
1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given
2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]
3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]
4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]
5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.
6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.
7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]
8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]
9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result
4 of 5
Sarah, Fiona and David share £40 in a ratio 3:3:2. How much
money does each person get?
Sarah: £
Fiona: £
David: £
Answer:
Sarah: £15
Fiona: £15
David: £10
Step-by-step explanation:
3 + 3 + 2 = 8
40 ÷ 8 = 5
3 × 5 = 15
3 × 5 = 15
2 × 5 = 10
6. Ray Rodriguez will be eligible for retirement benefits in 72 months. How many years remain before Ray
can retire?
which of the following choices is a possible length for DF? 17 39 19
Answer:
39
Step-by-step explanation:
Help! I'm not sure how to do it
Solve for a :4a-7=5a+1
Answer:
A= -8
Step-by-step explanation:
Subtract 5a from both sides.
Combine 4a and −5a to get −a.
Add 7 to both sides.
Finally, Multiply both sides by −1.
Pls mark brainliest.
Answer:
a = -8
Step-by-step explanation:
4a - 7 = 5a + 1
subtract 1 from both sides of the equation
4a - 7 - 1 = 5a + 1 - 1
4a - 7 - 1 = 5a
4a - 8 = 5a
subtract 4a from both sides of the equation
4a - 4a - 8 = 5a - 4a
-8 = 5a - 4a
-8 = 1a
-8 = a
what is the solution to y=2x+3 y=3x+3
3.(06.01)
What is the value of the expression 5^2 +2^2? (2 points)
Answer:
29
Step-by-step explanation:
5^2=25
2^2=4
25+4=29
Answer: 29 is the final answer
Step-by-step explanation: Have a nice day - Lily ^_^
Find the quotient of the complex numbers. Express your answer in
trigonometric form.
z = 7(cos15° + i sin15)
zz = 2(cos1 10° + i sin 110)
HELP ASAP!
Answer:
answer is c
Step-by-step explanation:
-10,-17, -24, -31, -38, ...
a) Common Difference:
b) Recursive Formula:
c) Explicit Formula:
d) 843
A mine worker is in a tunnel 25 feet below the ground. He descends another 13 feet. What is his final position? i already know that part of the answer is -25 -
but is it -25 - 13 or -25 - -13
Answer: -25 - 13
This simplifies to -38
So the worker's final position is 38 feet below the ground.
A diagram is shown below.
==========================================================
Explanation:
Draw a vertical number line. Plot 0 on it to indicate the ground level, or surface level. Then plot -25 on it, which is below 0. This is 25 feet below the ground.
To move 13 further feet downward, we will subtract 13 from -25. Subtracting a positive means we move downward.
For example, start at the 30th of a building. This is marked as +30 or just 30 on the vertical number line. Subtract off 13 to go down 13 floors and we have 30-13 = 17. So after going down 13 floors, we're at the 17th floor now.
Going back to the problem at hand, we start at -25 and subtract off 13 to get the final answer -25 - 13
The answer is not -25 - -13 and it is not -25 - (-13). This is because the two negatives cancel to be a positive. So -25 - (-13) becomes -25+13. Here we're starting at -25 but then going up 13 feet. Instead we want to go down 13 feet.
------------------------------------
After we determine the expression is -25 - 13 we will effectively add the positive versions of those numbers like so
25+13 = 38
But the final answer is negative because we're starting underground and moving further underground.
We can write it like this
-25 - 13 = -(25+13) = -(38) = -38
Therefore, if the worker starts off 25 feet underground, and moves 13 feet downward, then the worker ends up 38 feet underground. Again, use the vertical number line to help see this.
Check out the diagram below.
Fourteen of the people signed up for the ski classes are beginners. If 56% of those signed up are beginners, how many people signed up for classes?
Answer:
25
Step-by-step explanation:
An unknown number of people signed up for the class. Let the total number of people who signed up be x.
56% of the people who signed up are beginners. 14 people are beginners.
That means that
56% of the people who signed up is 14 people.
56% of x = 14
56% * x = 14
0.56x = 14
Divide both sides by 0.56.
0.56x/0.56 = 14/0.56
x = 25
Answer: 25
40+40x0+1=
a.81
b.21
c.41
Answer:
C.41
Step-by-step explanation:
Thats the answer!!
In 2009, a town's population was about 9,000 residents. In 2014, the population was about 12,500 residents. Which linear model represents the town's population, p, as a function of t, the time in years after 2007
Answer:
Population function (Based on 2007) = 7,600 + 700n
Step-by-step explanation:
Given:
Population in 2009 = 9,000
Population in 2014 = 12,500
Computation:
Increase in population per year = [12,500 - 9,000] / 5
Increase in population per year = 700
Population in 2007 = 9,000 - [2 x 700]
Population in 2007 = 7,600
Population function (Based on 2007) = 7,600 + 700n
n = number of year
Answer:
p(t)=700t+7600
Step-by-step explanation:
If the area of a rectangle is x2 – 13x + 40, what are the lengths of
the two sides?
Answer:
5 and 8
Step-by-step explanation:
quadratic formula.
-(b)+sqrt(b)^2-4(a)(c)
^ans
divide the whole thing by 2(a).
If the formula isn't clear, search quadratic formula up.
Elle earned $45 last month babysitting. This
month she earned $35. What is the
approximate percent of decrease?
Answer:
40%
Step-by-step explanation:
Which picture shows a rotation of the flag?
Answer:
it has no pic
Step-by-step explanation:
Jireh flew his crop duster from the ground to an altitude of 3,500 feet. He continued to fly at that height for 20 minutes until he descended to 2,000 feet. He then flew back to the ground and landed his plane.
Which part of the scenario is best represented by a linear increasing interval?
Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Jireh flew at 3,500 feet for 20 minutes.
Jireh descended to 2,000 feet.
Jireh landed his plane.
Answer: Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Step-by-step explanation:
That is an example of an increasing interval.
Answer:
a
Step-by-step explanation:
What is 6 1/3−1 2/3?
Answer:
4 2/3!
Step-by-step explanation:
Answer: [tex]4 \frac{2}{3}[/tex]
Step-by-step explanation:
Lets start by subtracting 6 by 1.
6 - 1 = 5
Now we need to subtract 1/3 by 2/3. Which means we will need to take one from the 5 and add it to the 1/3. So we get [tex]1 \frac{1}{3}[/tex]. Now we subtract 1 1/3 by 2/3. The answer to that is 2/3.
So our answer is 4 2/3
Neeeeddddd helllppp nowwwwww!!!!
Answer:
the area is 670.32 but it's not in there
Evaluate - 3x + 2y when x = 2 and y = 3
Answer:
the answer is 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
-3x + 2y
-3(2) + 2(3) ## Substitution
-6 + 6 ## Distributive
0 ## Addition
Find the area of the shape shown below plz help
Answer:
60? I'm really not sure mate, i'm really sorry if it's wrong.
Step-by-step explanation:
which expression is equivalent to (4") - 3?
A(4 + 4 + 4) - 3
B(4.4.4) - 3
C(3.3.3.3) - 3
D (3+3+3 + 3) - 3
The value is 48 points
Answer:
3+3+3+3
Step-by-step explanation:
it's ans is 3+3+3
Answer:
I think the answer is D.
sorry if I'm wrong..
Over what interval is f(x) negative? Justify your answer.
Answer in interval notation is (-3, 1)
This is the same as saying -3 < x < 1
=====================================================
Explanation:
Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.
These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.
A new car is purchased for 19000 dollars. The value of the car depreciates at 11.25% per year. What will the value of the car be, to the nearest cent, after 14 years.
Answer:
$3573. 64
Step-by-step explanation:
Convert 11.25% to the decimal fraction 0.1125. Then subtract this result from 1.0000: 0.8875.
After 14 years, the formerly $19000 car will have the value
$19000(0.8875)^14 = $3573. 64
What is x in 8x - 5 = -37
Answer:
If i'm doing this correctly it is 6?
Step-by-step explanation:
Answer:
x= -4
Step-by-step explanation:
8x - 5 = -37
+ 5 +5 add five to both sides of the equation so you can isolate the x
8x = -32
/8 /8 then divide 8 by both sides of the equation
x = -4
and then you get ur answer
Hope this helps :)