Answer:
x= −41 /20
Step-by-step explanation:
(2x+3)(2)+8(2x+3)+11=0
(4x+16x)+(6+24+11)=0(Combine Like Terms)
20x+41=0
20x+41=0
Step 2: Subtract 41 from both sides.
20x+41−41=0−41
20x=−41
Step 3: Divide both sides by 20.
20x /20 = −41 /20
x= −41 /20
Answer:
b
Step-by-step explanation:
Which is the graph of the function f(x) = 1/2x2+2x-6?
Answer:
This is how the graph would look like
Step-by-step explanation:
The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] is attached below.
What is plotting of graph of a function?The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] can be created by plotting a few coordinates that lie on the function.
When x = 0, y = -6
Coordinate = (0, -6)
When y = 0, [tex]0.5x^{2} + 2x - 6 = 0[/tex]
[tex]x^{2} + 4x - 12 = 0\\\\x^{2} + 6x - 2x - 12 = 0\\\\x(x+6) - 2(x+6) = 0\\\\(x-2)(x+6) = 0\\\\x = 2, -6\\[/tex]
Coordinates = (2,0), (-6,0)
Abscissa of vertex of graph = -b/2a = -2
Ordinate of vertex of graph = 0.5 *4 -4 - 6 = -8
coordinate = (-2, -8)
Learn more about plotting graph of a function here
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I Tried 140 And 80. Those answer were incorrect. Right Answer gets 5 stars and a branliest. THANK YOU SO MUCH!!
Answer:
a 60
Step-by-step explanation:
Answer:
The Answer Is 60 I Had This Test Already.
Step-by-step explanation:
Just answer the question okay please don’t play with me rn.
And I know y’all like to give random answers for the points...pls don’t. I’ll make brainlest if you include explanation
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{m \angle \: abc \: = 35 \degree}}}}[/tex]
Option C is the best choice.
Step-by-step explanation:
✺ First , Let's know about Corresponding angles :
A pair of interior and exterior angles which lies to the same side of a transversal.Remember that the corresponding angles are always equal.The easiest way to think of corresponding angles is the 'F - Pattern'.✎ Now, In our case , x ° and ( 3x - 70 ) ° are corresponding angles. Set up an equation and solve for x.
[tex] \sf{x = 3x - 70\: ( \: being \: corresponding \: angles})[/tex]
[tex] \longrightarrow{ \sf{x - 3x = - 70}}[/tex] { Move 3x to left hand side and change it's sign )
[tex] \longrightarrow{ \sf{ - 2x = - 70}}[/tex] { Combine like terms }
[tex] \longrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{ - 70}{ - 2} }}[/tex] { Divide both sides by -2 }
[tex] \longrightarrow{ \sf{x = 35}}[/tex]
The value of x is 35°
Now, As we are asked to find the value of m [tex] \angle[/tex] ABC , replace the value of x :
[tex] \sf{m \angle \: ABC \: = (3x - 70) \degree}[/tex]
[tex] \dashrightarrow{ \sf{(3 \times 35 - 70) \degree}}[/tex]
[tex] \dashrightarrow{ \sf{(105 - 70) \degree}} [/tex]
[tex] \longrightarrow{ \boxed{ \sf{35 \degree}}}[/tex]
Therefore , m [tex] \angle[/tex] ABC = 35°
And we're done !
Hope I helped!
Best regards! :)
~TheAnimeGirl
Are these answers right or some wrong? If some wrong plz answer them correct thanks!
You are wrong.
1, 2, 3 and 4 are correct.
5. 75%
6 is also correct
7. 100%
8. 50%
someone please please helppp... I need to submit this ttoday..I will mark you the brainliest
Problem 3
I'm not sure what your teacher is asking here. Identities are equations, but your teacher didn't give you an equation.
=============================================
Problem 4
To show that we have an identity, I'm only going to manipulate the left hand side to transform it into the right hand side. The right hand side will remain the same the entire time.
(3x+7)^2 - 84x = (3x-7)^2
(3x+7)(3x+7) - 84x = (3x-7)^2
(9x^2+21x+21x+49) - 84x = (3x-7)^2
9x^2+42x+49-84x = (3x-7)^2
9x^2-42x+49 = (3x-7)^2
(3x-7)^2 = (3x-7)^2
The two formulas
(a+b)^2 = a^2+2ab+b^2(a-b)^2 = a^2-2ab+b^2may be handy in terms of expanding out (3x+7)^2 and factoring 9x^2-42x+49
=============================================
Problem 5
x + 1/x = 11
a + b = 11 .... where a = x and b = 1/x
(a+b)^2 = 11^2
a^2 + 2ab + b^2 = 121
x^2 + 2*x*(1/x) + (1/x)^2 = 121
x^2 + 2 + 1/(x^2) = 121
x^2 + 1/(x^2) = 121-2
x^2 + 1/(x^2) = 119
An alternative route is to solve x + 1/x = 11 for x. You'll get two solutions. Use either solution to plug into x^2 + 1/(x^2) to find the result is 119.
67,132 divided by 7= ?
Round your answer to the nearest tenth.
Answer:
DONE!
Step-by-step explanation:
67132/7 = 9590.28571429
Rounded to the nearest tenth: 9590.3
Answer:
9590.3
Step-by-step explanation:
finally got to answer lol
Simplify the expression
(-a)^-18
Can somebody help me with this please?
its an eqilateral triangle. they are always “positioned” at 180 degrees.
Growing up, Joe lived in a small town. When he left for college, the population was 840.
The population has grown by 5% after Joe's first year of college. What is the new
population?
Answer:882
Step-by-step explanation:5 percent of 840 is 42 so 840 plus 42
Answer:
882
Step-by-step explanation:
What are the points of intersection between the graphs of the functions
f(x) = x²(x + 1) and g(x) = x + 1?
Answer:
(x1,y1) = (1, 2)
(x2,y2) = (-1,0)
Step-by-step explanation:
Given: f(x) = x²(x + 1) and g(x) = x + 1
To find the intersection, then set functions equal to each other to solve for x first.
x²(x + 1) = x + 1; divide by (x+1) from both sides
[tex]x^{2}[/tex] = 1; take the square root to both sides
x = ±1;
The graphs intersect at two points (x1,y1) and (x2,y2)
Use x=1
f(1) = x²(x + 1) = [tex]1^{2}[/tex](1+1) = 2
g(1) = x + 1 = 1 + 1 = 2
(x1,y1) = (1, 2)
Use x= -1
f(-1) = x²(x + 1) = [tex](-1)^{2}[/tex](-1+1) = 0
g(-1) = x + 1 = -1 + 1 = 0
(x2,y2) = (-1,0)
The points of intersection of two functions are required.
The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].
The given functions are
[tex]f(x)=x^2(x+1)[/tex]
[tex]g(x)=x+1[/tex]
Equating them with each other
[tex]x^2(x+1)=x+1\\\Rightarrow x^2=\dfrac{x+1}{x+1}\\\Rightarrow x^2=1\\\Rightarrow x=\pm 1[/tex]
Substitute the [tex]x[/tex] value in one of the functions.
[tex]x=1[/tex]
[tex]f(1)=1(1+1)=2[/tex]
[tex](1,2)[/tex]
[tex]x=-1[/tex]
[tex]f(-1)=(-1)^2(-1+1)=0[/tex]
[tex](-1,0)[/tex]
The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].
Learn more:
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3125x=−62 value of x.
Answer:
x= -0.01984
Step-by-step explanation:
You divide both sides by 3125 to get x alone.
You get x=-0.01984
Hope this helps!
After cutting a piece 1.65 m long from a piece of cable, the remaining
piece is 3.50 m long. How long was the cable originally? _____
Answer:
5.15 m
Step-by-step explanation:
To find how long the cable was originally, find the sum of the length of the piece that was cut off and the length of the remaining piece:
1.65 + 3.5 = 5.15
The cable was originally 5.15 m long.
7(1 - x) = -3(x - 2)
Answer:
the answer is x= 1/4 :D .....
Answer: bro its x=1 over 4
Step-by-step explanation:
Helpp plzzz!! Identify the corresponding side to side MN.
Answer:
st i think
Step-by-step explanation:
Answer:
I seem to have learned this, but I just don't remember how to do it? Even if I remember, I don't know how to count it?
What is the domain and range please?
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
Solve for x.
(1/9)^x=27^x/9^2x-1
Answer:
x=-2
Step-by-step explanation:
The sum of two consecutive even integers is 48 less than 3 times the largest integer. Find both integers algebraically.
Answer:
44 and 46Step-by-step explanation:
Let the integers be:
n and n + 2Then we have:
n + n + 2 = 3(n + 2) - 48Solving for n:
2n + 2 = 3n + 6 - 483n - 2n = 2 + 48 - 6n = 44So the numbers are 44 and 46
If a video game was 10% off and the amount of the discount was $6 what was the original price?
Answer: the original price was $60! <3
Step-by-step explanation:
Determine if the expression 9y5 – 10y3 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
I am going to assume that the equation was supposed to be [tex]9y^{5}[/tex][tex]-10y^{3}[/tex]
Answer:
It is a polynomial. It is a binomial and it has a degree of 5.
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables so [tex]9y^{5}[/tex][tex]-10y^{3}[/tex] will be considered a polynomial.
A binomial is a polynomial with 2 terms.
The degree of a polynomial is the highest exponent in it which in this equation is 5.
Ronald wants to rent a car to take a trip and has a budget of $60. There is a fixed rental fee of $25 and a daily fee of $5. Write an inequality that would be used to solve for the maximum number of days for which Ronald can rent the car on his budget.
25 + 5x ≤ 60
25 + 5x ≥ 60
25x + 5 ≤ 60
25x + 5 ≥ 60
Answer:
35+5x<_60
Step-by-step explanation:
x would stand for the amount of days and for each day you would pay $5 add that to the fee of 25 and it has to be less than or equal to 60 because that is the extent of his budget
what the last guy was trying to say is
25 + 5x ≤ 60
btw this is correct i just did the test
1. NC.6.RP.3 An airplane travels at a constant speed of 360 miles per hour. How far, in
miles, will the airplane travel in 45 minutes?
a. 270 miles
b. 16,200 miles
C. 60 miles
d 720 miles
9514 1404 393
Answer:
a. 270 miles
Step-by-step explanation:
In 3/4 of an hour, the plane will fly 3/4 of 360 miles, so 270 miles.
Sandy bought a soft drink for 3 dollars and 8 candy bars. She spent
a total of 35 dollars. How much did each candy bar cost ?
H
Answer:
Step-by-step explanation:
1 soft drink = $3 35-3=32 32/8=4
therefor each candy bar costs $4
Hope this helped!!! :)))
Answer:
4
Step-by-step explanation:
Sandy got 8 bars and a drink for 3 bucks and ended up wasting 35 dollars what you have to do is 35-3 and that = 32 and what you do to that 32 is ÷ it by 8 which gets you 4
Caleb bought groceries and paid $1.60 in sales tax. The sales tax rate is 2.5%. What was the price of Caleb´s groceries before tax?
Answer:
Let x be the price of the groceries:
x × 0.25 = 1.60
x = 1.60/0.25
x = $6.40
$6.40 - $1.60 = $4.80
Step-by-step explanation:
Hhaah! My name is Caleb lolll :)
Mark as brainliest please! :)
evaluate the expression for the give value of the variable.
3d — 4
d = 1.2
29% of 100 tiles is how many tiles
Answer:
29
Step-by-step explanation:
ez
Answer:
29
Step-by-step explanation:
29% of 100
= 29/100 *100
= 29
After accelerating for 20 seconds, a DeLorean sports car has a wide range of speeds that it can achieve, depending on traction. The distribution of speed follows an approximately normal distribution with a mean of 80 mph and a standard deviation of 7 mph. What percentage of the trials will give the DeLorean a speed between 66 mph and 87 mph?
Answer:
81.859%
Step-by-step explanation:
We solve the question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 80 mph
σ is the population standard deviation = 7 mph
For x = 66 mph
z = 66 - 80/7
z = -2
Probability value from Z-Table:
P(x = 66) = 0.02275
For x = 87 mph
z = 87 - 80/7
z = 1
Probabilith value from Z-Table:
P(x = 87) = 0.84134
The probability of the trials will give the DeLorean a speed between 66 mph and 87 mph is calculated as:
P(x = 87 mph) - P(x = 66 mph)
0.84134 - 0.02275
= 0.81859
The percentage of the trials will give the DeLorean a speed between 66 mph and 87 mph?
100 × 0.81859
81.859%
A rope is wound round s drum of diameter 21cm is attached to a bucket that is resting at the bottom of a well in depth 9.89 m. Find the number of turns required to bring up the bucket such that the bottom of the bucket is suspended just above the mouth of the well
Answer:
15
Step-by-step explanation:
Depth of well = No. of turns × length of one turn
Given: Depth of well = 9.89m = 989cm [1m = 100cm]
Let number of turns be x
Length of one turn = 2πr or π×diameter
Now , 989=x×π×21
989=x×(22/7)×21
x=989×7/(22×21)
x=14.98 ≈15 turns
[Number of turn never be in decimals]
Hence number of 15 complete turns of the handle required to bring up the bucket
HELP ASAP!!! determine how if possible the triangles are similar
Answer:
d not simlar just letting u know ur getting it wrong
Step-by-step explanation:
Answer:
I think A or C would be the answer! Hope this helped a little!!
a line passes through 8,-8 and has a slope of -5/4, write an equation in slope intercept form for this line
Answer:
y = -1.25x +2
Step-by-step explanation:
Using Point-Slope formula we can create an equations.
y - y1 = m(x - x1)
substitute:
y + 8 =-5/4(x - 8)
-5/4 = -1.25
y + 8 = -1.25 ( x - 8)
Distribute:
y + 8 = -1.25x + 10
subtract 8 from both sides:
y = 1.25x + 2
Hope this helps!
Which set of values could be the side lengths of a 30-60-90 triangle? A. {5,10,10 sqrt 3} B. {5,5 sqrt 2 ,10} C. {5,5 sqrt 3, 10} D. {5,10,10 sqrt 2}
9514 1404 393
Answer:
C. {5, 5√3, 10}
Step-by-step explanation:
The side ratios in a 30-60-90 triangle are ...
1 : √3 : 2
Multiplying these ratios by 5 gives the set of side lengths ...
(5, 5√3, 10)
Answer: 5, 5√3, 10
Step-by-step explanation: