Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
This is made slightly more difficult by the fact that the given polynomials are not in order of decreasing powers of x. So, you need to be careful what you're adding, to make sure the terms are "like".
__
Add: (-2x² +3x +4) +(x² -4x -5) = (-2+1)x² +(3-4)x +(4-5) = -x² -x -1
Opp: -(3x² -x +1) = 3x² +x -1
Sub: (x² +3x -4) -(-2x² +4x -3) = (1-(-2))x² +(3-4)x +(-4-(-3)) = 3x² -x -1
Related Questions
find the inverse of the following function
Answers
f-¹(x)=[tex]\frac{2-7x}{x+2}[/tex]
Answer:
Solution given:
f(x)=[tex]\frac{-2x+2}{x+7}[/tex]
Let f(x)=y
y=[tex]\frac{-2x+2}{x+7}[/tex]
Interchanging role of x and y
x=[tex]\frac{-2y+2}{y+7}[/tex]
doing crisscrossed multiplication
x(y+7)=-2y+2
now solve it:
xy+7x=-2y+2
keep like terms in one side
xy+2y=2-7x
take common
y(x+2)=2-7x
make a value of y
y=[tex]\frac{2-7x}{x+2}[/tex]
So,
f-¹(x)=[tex]\frac{2-7x}{x+2}[/tex]
Answer:
ƒ^-1 (x) = [tex]\frac{2-7x}{2+x}[/tex]
Step-by-step explanation:
Substitute y for f (x)
[tex]y = \frac{-2x+2}{x+7}[/tex]
Interchange x and y
[tex]x=\frac{-2y+2}{y+7}[/tex]
Swap the sides of the equation
[tex]\frac{-2y+2}{y+7} = x[/tex]
Multiply both sides of the equation by y + 7
-2y + 2 = (y + 7)x
Distribute x through the parentheses
-2y + 2 = xy + 7x
Move the expression/constant to the left-hand side and change its sign
-2y - xy + 7x - 2
Factor out from the expression
(-2 - x)y = 7x - 2
Divide both sides of the equation by -2 - x
[tex]y = \frac{7x-2}{-2-x}[/tex]
Simplify the expression
[tex]y = \frac{2-7x}{2+x}[/tex]
Substitute ƒ ^-1 (x) for y
[tex]f^{-1} (x) = \frac{2-7x}{2+x}[/tex]
Please help me solve this!
Please help quickly!
Answers
==========================================================
Explanation:
Focus on triangle TUS. The inner angles here are:
T = yU = xS = 180-2xNote how the angle measure for S is the supplement of 2x, which is adjacent to the angle S we have.
Add up those three angles and set the sum equal to 180
T+U+S = 180
y+x+180-2x = 180
y-x = 180-180
y-x = 0
y = x
We'll use this later.
-----------------
The diagram shows that angle VTU = y+y = 2y.
Focus your attention on triangle TUV.
Since TU = UV, this means the base angles T and V (which are opposite the congruent sides) are congruent angles. We found that angle T was 2y earlier. This means angle V is also 2y.
-----------------
Now shift your focus to triangle TSV.
This triangle has the inner angles
S = 2xT = yV = 2yRecall earlier that we found y = x at the conclusion of the first section. Using that and the fact that the angles of triangle TSV add to 180, we get...
T+S+V = 180
2x+y+2y = 180
2x+3y = 180
2x+3x = 180 .... replace y with x, since y = x
5x = 180
x = 180/5
x = 36
This is the value of y as well.
for what is values of x does 4(3x-2) = 12x - 5? select all that apply.
A.12
B.-8
C.3
D.-3
E.none of these
Answers
Answer:
‼️A) 12‼️
Step-by-step explanation:
Key skills needed: Interior Angle Measure Theorem, Equation Creation
Step 1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures
The theorem is: S = (n - 2)180S=(n−2)180
S is the sum of all interior angle measures
n is the number of sides of the polygon
Step 2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:
---> S = (7-2)180S=(7−2)180
---> (7-2) is 5 since 7 - 2 = 5 so --> S = 5(180)S=5(180)
---> 5(180) is the same as 5 x 180 which is 900 so --> S = 900S=900
This means that the sum of all interior angles is 900 degrees.
Step 3) Now, we have to find out the sum of all the angles that they gave us so:
---> 10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 90010x+10x+9+133+9x+14+12x−9+10x+5+136=900
The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.
Step 4) We have to combine all like terms on the left side:
---> 10x + 10x + 9x + 12x + 10x = 51x10x+10x+9x+12x+10x=51x
---> 9 + 133 + 14 -9+5+136 = 2889+133+14−9+5+136=288
Step 5) This means that ---> 51x + 288 = 90051x+288=900
Subtract 288 from both sides and get:
---> 51x = 61251x=612 (900-288 = 612)
Then divide by 51 from both sides and get:
---> x = 12x=12 (612 ÷ 51 = 12)
Therefore A) 12 is your answer.
I think it should be none of these.
The term on the left has to be even no matter what value of x and the right has to be odd no matter what value of x. Therefore, there shouldn't be an integer value of x that satisfies the equation, let alone the answer choices A-D.
A batch of peanut butter cookies requires \dfrac34 4 3 start fraction, 3, divided by, 4, end fraction of a jar of peanut butter. You want to make 333 batches. How many jars of peanut butter do you need?
Answers
Answer: 3 Jars
Step-by-step explanation:
Given
A batch of peanut butter cookies requires [tex]\frac{3}{4}[/tex] of a jar
For 3 batches of Cookies, No of Jars required
[tex]\Rightarrow 3\times \dfrac{3}{4}=\dfrac{9}{4}\\\\\Rightarrow \dfrac{9}{4}=2+\dfrac{1}{4}[/tex]
That is 2 complete Jar and one-fourth of third. In totality, it would be 3
jars.
If the base of a triangle is 3 and its height is 4, then its area is 6. This triangle has an area of 6, so its base is 3 and its height is 4
Valid or invalid
Answers
9514 1404 393
Answer:
invalid
Step-by-step explanation:
There is more than one set of dimensions that will give a triangle with an area of 6. The fact that the area is 6 implies nothing about the dimensions (except that their product is 12).
The converse is invalid.
Answer:
The first sentence is valid but the second one is invalid.
Step-by-step explanation:
You can't say just because the area of the triangle is 6, its base is 3 and its height is 4, it might have a base of 1 and a hight of 12 so there are more than one answers for the second one.
Feel free to message me if you still have questions :)
Do someone mind helping me pls :)
Answers
=========================================================
Explanation:
The uppercase E represents "ten to the"
So saying E8 means "ten to the 8th power"
In other words, 9.837 E 8 = 9.837 * 10^8
The exponent positive 8 tells us to move the decimal point over to the right 8 spots.
So that's how we go from 9.837 * 10^8 to 983,700,000
There are 5 zeros in that value after the "9837" portion.
When we move from 9.837 to 9837.0, that's exactly 3 spots so far. Then the decimal point has to move another 5 spots to go from 9837.0 to 983,700,000 which is therefore 3+5 = 8 total shifts to the right.
The number 983,700,000 is slightly over 983 million. If anything, it's more closer to 984 million.
Answer: Standard Form = 983, 700, 000
Step-by-step explanation:
Concept:
The term "E" is usually used in calculators or on-screen which stands for exponents. It has been used to display numbers in scientific notations.
Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form. Usually in the form of [ a × 10ᵇ ] where a is a number 0<a<10 and b are integer exponents.
"E" in simpler words is basically the base "10" in scientific notation, while the number after "E" would be the exponents on "10"
Solve:
Given = 9.837 E 8
"E" = 10
"8" = ⁸
E 8 = 10⁸
10⁸ basically means that there are 8 zeros after 1.
Therefore, to find the standard form of 9.837E8, we have 3 zeros to get 9.837 to become an integer, then add the remaining 5 zeros at the end to get the final answer.
9.837 × 10⁸ = 983,700,000Hope this helps!! :)
Please let me know if you have any question
If sin0=3/5 then tan0=
Answers
Answer:
I believe it is 3/4
Step-by-step explanation:
6. Which of the following equations has a slope of -2 and passes
through the point (3,-4).
O) y=-2x - 4
O) y=-2x + 2
O) y = -2x+3
O) y = -2x - 1
Answers
Answer:
y=-2x+2
Step-by-step explanation:
substitute either the x or y value into the equations, if you substitute x=3 and get back y=-4, the equation is correct
congruent figure help please :)
Answers
Answer:
x = 29
Step-by-step explanation:
ΔABC ≅ ΔDEC,
So, ∠BAC ≅∠CDE {Corresponding parts of congruent triangles}
∠BAC = 74°
InΔABC,
∠ABC + ∠BAC + ∠BCA = 180
2x + 74 + 48 = 180
2x + 122 = 180
Subtract 122 from both sides
2x = 180 - 122
2x = 58
Divide both sides by 2
x = 58/2
x = 29
Combine and simplify the following radical expression
Answers
Answer:
[tex]2 \sqrt[3]{3} [/tex]Step-by-step explanation:
[tex] \sqrt[3]{6} . \sqrt[3]{4} [/tex]
[tex] = \sqrt[3]{6 \times 4} [/tex]
[tex] = \sqrt[3]{3 \times 2 \times 2 \times 2} [/tex]
[tex] = 2 \sqrt[3]{3} (ans)[/tex]
HELP!
Solve by completing the square: 2x^(2)+x-21
Answers
Answer: 3,-7/2
Step-by-step explanation:
Please help:)))))))))))
Answers
Answer:
good evening good evening good evening good evening
I need help and fast I was supposed to turn this in last week
Answers
Answer:
The answer is below
Step-by-step explanation:
If two lines intersected by a transversal form congruent corresponding angles, then the lines are parallel.
If two angles are supplementary to the same angle, then the two angles are congruent.
Statement Reason
1) line p is parallel to line q Given
2) angle 1 and angle 4 are Given
supplementary i.e. ∠1 + ∠4
= 180° (definition of supplementary)
3) angle 3 and angle 4 are consecutive interior angles
supplementary
4) angle 1 congruent to angle 3 congruent supplements theorem
supplementary
5) line r parallel to line s corresponding angle converse
Now that you know the vertex, find the y-values that pair with a few x-values that are less than 2 and a few that are greater than 2.
Plsssss help!!!!!!!
Answers
y when x=1: 2
y when x=3: 2
y when x=4: 3
jack takes a job after school to earn money to buy a sport car.He knows that the more hours he works .the more money he will make
Answers
Answer: What's the question? I'll edit my answer to the question if you would give me the actual problem
Step-by-step explanation:
There are nine different marbles in a bag. Supposed you reach in and draw one at a time. And do this three times. How many ways can you draw the three marbles if you do not replace the marble each time
Answers
Answer: 504 ways
Step-by-step explanation:
Given
There are nine different marbles in a bag
For the first time, there are 9 possible ways to draw a marble
After removal of first marble, there are 8 possible ways to draw a marble
for the third time, there are 7 possible ways
so, total ways to draw three marble are
[tex]\Rightarrow 9\times 8\times 7=504\ \text{ways}[/tex]
A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Answers
Answer:
120 kg in morning and 240 kg in afternoon
Step-by-step explanation:
x+2x=360 kg
Work:
x + 2x = 360 kg
3x = 360 kg
3x/3 = 360 kg/3
x = 120
2x=2(120 kg) =240 kg
Final Answer:
So, 120 kg in morning and 240 kg in the afternoon.
Hope this helps!
write 2^60 as an exponent with a base of 16
Answers
Recall that 2⁴ = 16. So you have
2⁶⁰ = 2⁴ˣ¹⁵ = (2⁴)¹⁵ = 16¹⁵
double the sum of all prime numbers between 10and 30 then add thrice the product of all positive numbers less than 8 what is the quotient
Answers
hope so this might help
ans is above in the pic
David's goldfish ate 20 grams of food in 4 weeks. At this rate, how long would it take the fish to eat the food
in a 100-gram container?
Answers
Can anyone help with this question? The population of a small industrial town was 12 910 in 2000. Each year, the population decreases by an average of 5%. Estimate the population in the year 2020. Round to the nearest whole number.
Answers
Answer:
Population of town in 2020 = 4626 (Approx.)
Step-by-step explanation:
Given:
Population of town in 2000 = 12,910
Decrease rate = 5% = 0.05 yearly
Find:
Population of town in 2020
Computation:
Number of year = 20 years
Population of town in 2020 = Population of town in 2000[1-r]ⁿ
Population of town in 2020 = 12,910[1-0.05]²⁰
Population of town in 2020 = 12,910[0.95]²⁰
Population of town in 2020 = 12,910[0.3584]
Population of town in 2020 = 4625.944
Population of town in 2020 = 4626 (Approx.)
Answer:
The population is 4628.
Step-by-step explanation:
Population in 2000 = 12910
Rate of decrease = 5 %
Time, t = 2020 - 2000 = 20 years
Let the population is P.
Use the formula
[tex]P = Po\left ( 1-\frac{r}{100} \right )^t\\\\P = 12910\left ( 1-0.05 \right )^2\\\\P = 4628[/tex]
Dividing with powers of 10
Answers
HELPPPP MEEEE OUTTTT!!!
Answers
Answer:
Solution given:
Relationship between base and hypotenuse is given by Cos angle
Cos Angle(?)=base/hypotenuse
Angle{?}=Cos-¹(40/58)
Angle{?}=46°
The indicated angle is 46°
Marcel invests $2500 for 3 years at a rate of 1.6% per year simple interest. Jacques invests
$2000 for 3 years at a rate of x% per year compound interest.
At the end of the 3 years Marcel and Jacques receive the same amount of interest.
Calculate the value of x correct to 3 significant figures.
Answers
Answer:
x= 1.961
Step-by-step explanation:
Marcel's ,P = 2500 , T = 3, R = 1.6%
SI = PRT/100
=(2500×1.6×3)÷100
Jacques's , P = 2000 , T = 3, R = x%
CI = P( 1 + R/100)^T -P
2000(1 + x/100)^3 -2000
But this is equal to 120
(1 + x/100)^3 = 2120/2000
x= 1.961
I hope this helps !!!!!!!!!!!
Which is the graph of the linear inequality {x-2y> -6?
Answers
Answer:
7
Step-by-step explanation:
Answer:
I think it is d
Step-by-step explanation:
Solve for the product (6x−−√)(15x3−−−−√)without a perfect square factor in the radicand. Group of answer choices 90x4−−−−√ 3x210−−√ 310x4−−−−√ 3x410−−√
Answers
Answer:
[tex]3x^{2} \sqrt10[/tex]
Step-by-step explanation:
hich math expression means "the product of 16 and 26"?
O 16 - 26
26-16
16 - 26
0 16 +26
Answers
Answer:
infjfkflflfmdbfufifldndndhfififkfnf
Joyce paid $39.00 for an item at the store that was 70 percent off the original price. What was the original price?
Answers
Answer:the answer is 10 because if u subctract it will work
Step-by-step explanation:
What is the best approximate for the input value when f(x)=g(x)?
Answers
Answer:
(1.5 ,1)
Step-by-step explanation:
f(x) = g(x) where the two graphs intersect
x=1.5 and y = 1
(1.5 ,1)
please help
yuffytdgtutidrysryrdf
Answers
Answer:
19 + 1 + 9 + 1
put any of those in the slots
Answer:
19 + 1 + 9 + 1
peace
