Answer:
It is a perfect square expression.
It factors to (x+2)^2
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Explanation:
The general format for a perfect square is
(a+b)^2 = a^2 + 2ab + b^2
Which can be seen through the use of the FOIL rule.
Compare x^2+4x+4 with a^2+2ab+b^2, and we have these three equivalences:
x^2 = a^2 .... first terms4x = 2ab .... middle terms4 = b^2 .... last termsSince x^2 = a^2, we can apply the square root to both sides to get a = x. Similarly, 4 = b^2 leads to b = 2. We could get b = -2, but that would mean 2ab = 2x*(-2) = -4x instead of 4x. So we'll stick with b = 2 instead.
Because a = x and b = 2, we then can say:
(a+b)^2 = a^2 + 2ab + b^2
(x+2)^2 = x^2 + 2*x*2 + 2^2
(x+2)^2 = x^2 + 4x + 4
Showing that x^2+4x+4 factors to (x+2)^2.
I DONT GET THISS help
Mary rides her horse 30 miles in 2 1/2 hours. What is her average speed in miles per hour?
Answer:
12 miles per hour
Step-by-step explanation:
I'll give u brainliest if u answer it
Answer:
i think its A
Step-by-step explanation:
But if i am incorrect i apologize
Find the volume of the prism.
5 ft
3 ft
5 ft
4 ft
Answer:
you have to show the prism
Write a quadratic equation ax²+ bx + C = 0, whose coefficients are a =-9, b = 0, c = -2
Please I really need your help for this
Let's write -9 where we see A:
-9x² + bx + c = 0Let's write 0 where we see B:
-9x² + 0.x + c = 0(Since B = 0, when it is multiplied by x, it becomes 0 again)
-9x² + c = 0Let's write -2 where we see C:
-9x² + -2 = 0Now we can move on to solving our equation:)
Let's put the known and the unknown on different sides:
(-2 goes to the opposite side positively)
-9x² = 2(it goes as a division because it is in the case of multiplying -9 across)
x² = 2/-9
I could not find the rest of it, but I did not want to delete it for trying very hard. Sorry. It felt like we should take the square root, but I couldn't find it, maybe this can help you a little bit.
Please do not report:(
I hope I got it right, I'm trying to improve my English a little :)
Greetings from Turkey:)#XBadeXThe quadratic equation ax²+ bx + C = 0, whose coefficients are a = -9, b = 0, c = -2 will be -9x² + -2 = 0
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,coefficients fore the equation,ax²+ bx + C = 0, is a =-9, b = 0, c = -2
We have to write a quadratic equation as,
Any equation of the form ax²+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
ax² + bx + c = 0
-9x² + 0x + (-2) = 0
-9x² + -2 = 0
-9x² + -2 = 0
Thus, the quadratic equation ax²+ bx + C = 0, whose coefficients are a =-9, b = 0, c = -2 will be -9x² + -2 = 0
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ6
help please and thank you
!!
Answer:
f(x) = 2ˣ + 1
Step-by-step explanation:
Based on the exponential increase, you know that it will be an exponential equation, meaning that you can cancel out the first two options.
The easiest way to do pick the between the two remaining equations is by plugging in an x-value and seeing if the y-value for that equation matches the y-value from the equation.
For (3, 9):
f(x) = 3ˣ = 3³ = 27
f(x) = 2ˣ + 1 = 2³ + 1 = 8 + 1 = 9
The last equation is the equation that is represented by the table.
CAN SOMEONE HELP ME WITH THIS!!
Answer:
Number of dogs = 6
Number of burgers = 11
Step-by-step explanation:
Number of dogs = x
Number of burgers = 2x - 1
Cost of a dog = $ 1.50
Cost of 'x' dogs = 1.5x
Cost of a burger = $ 2
Cost of (2x - 1) burger = (2x -1) * 2 = 2x *2 - 1*2
= 4x - 2
Total amount collected = $ 31
1.5x + 4x - 2 = 31 {add 2 to both sides}
1.5x + 4x = 31 + 2
1.5x+ 4x = 33
5.5x = 33
x = 33/5.5
x = 6
Number of dogs = 6
Number of burgers = 2*6 - 1 = 12 - 1 = 11
There are 15 neon tetras and 12 betta fish in a fish tank. What is the ratio of betta fish to the total number of fish? Write the ratio on simplest form.
hint Read the question very carefully, notice the phrase "total number of fish"
need help
Answer:
12:27
Step-by-step explanation:
PLEASE HELP!!!! ANSWER FAST
Step-by-step explanation:
[tex] {d}^{2} = {5}^{2} + {5}^{2} \\ {d}^{2} = 50 \\ d = 5 \sqrt{2} \\ [/tex]
[tex] \tan(60) = \frac{4}{c} \\ c = \frac{4}{ \tan(60) } = 2.3[/tex]
sketch a graph and write an equation for a sinusoidal function that has a period of 12 seconds, a maximim height of 8ft and a minimim height of -4 ft. At a time t=0, the function's height is at its highest point.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The amplitude of the function is half the difference between the maximum and minimum:
A = (8 -(-4))/2 = 6
The multiplier of t is (2π)/period, so is ...
B = (2π)/12 = π/6
The vertical offset is the average of the minimum and the maximum:
D = (8 +(-4))/2 = 2
The peak is at t=0, so the cosine function is the appropriate choice.
__
Then the function is ...
f(t) = Acos(Bt) +D
f(t) = 6cos(πt/6) +2
Which expression is equivalent to 12x + 20y?
Help plsssssssssssss
Answer:
B
Step-by-step explanation:
The hight compared to the volume should be less hight but more volume
NEED HELP ASAP 2 questions WORTH 50
Answer:
The first question tan(24) = x/12 because tan(x) = opposite/adjacent
so x in radians ≈ -25.618....
x in degrees ≈ 5.342....
For the second question tan(72) = x/20
x in radians ≈ -5.248....
x in degrees ≈ 61.553....
Answer:
for first one
relationship between base and perpendicular is given by tan angle
tan24=p/b
tan24=x/12
x=tan24×12=5.34
Step-by-step explanation:
for second one
relationship between base and perpendicular is given by tan angle
tan72=x/20
x=tan72×20=61.55
What is 3 x 4t when it’s simplify
look at the bottom of the pictures to see what number it is
Step-by-step explanation:
hence the value of y=-9/4and k=-16.
Y=1/4 (x+2)(x – 6
1) (13 points) Study the equation:
A) What are the x-intercepts of this equation? Show your work.
A shopkeeper buys a stove from a manufacturer for $100.The selling price if he makes a profit of 15%
Answer:Selling Price = $115
Step-by-step explanation:
Selling price = Cost price + Profit
Cost price = $100
Profit = 15% = 15% x 100 = $15
Selling Price = $100 + $15= $115
OR
Selling Price = Cost price + Profit
Selling Price =$100 + (15% of $100)
Selling Price = $100+ $15
= $115.
can someone plz help
Answer:
-9.56
Step-by-step explanation:
Which of the following is a perfect square?
A.) 115
B.) 169
C.) 154
D.) 279
Answer:
B (169)
Step-by-step explanation:
What is 7/10 of 650?
Answer:
455
Step-by-step explanation:
I answered first, but forgot to answer here.
AH HELP PLEASE !!!!!!!!!
For their summer jobs, Amanda and Julie are babysitting. Amanda starts with $150 in her savings account and
earns $15 per week. Julie starts with $200 in her savings account, and earns $5 per week. Use the following
equations to determine the number of weeks they will have the same amount of money?
Amanda's Equation: y = 15x + 150
Julie's Equation: y = 5x + 200
#28
8x-4y=-96 in slope intercept form
Answer:
y=2x+24
Step-by-step explanation:
-4y=-8x-96
divide everything by -4
y= 2x +24
Please help me
thank you!
Answer:
Is that your answer
Answer:
3
Step-by-step explanation:
1/6 of 18 is 3/18, and 2/3 of 18 is 12/18
So 3/18 + 12/18= 15/18
18-15=3
Hope this helps.
2^2 x 3^4 x 2^5/ 9 x 4^2
Answer:
Please refer to the attachment
Hope it helps
Please mark me as the brainliest
Thank you
Which one of these is the answer ?
Answer:
b is the answer
Step-by-step explanation:
because I'm that bit still that bit will for ever be that bit
can sum one help me please
Answer:
scale facror:
1
:
2
x = 5
Perimeter = 5+4+4+5+6 = 24
Please can i have the correct answer this is a important test
I will mark you brainliest
I just need part B only
Answer:
thin think back to wen you were l lerning about it come on you can do it
help ill give brainliest
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Explanation:
Here's a slightly more detailed breakdown of what's going on
3x + 2y = 15 ... start with the first equation
3x + 2( y ) = 15 .... the parenthesis don't change the expression
3x + 2( 3x+5) = 15 ... replace y with 3x+5; since y = 3x+5
From here, you solve for x like you would any other single variable equation. Once you know x, you can determine y through y = 3x+5.
A tunnel is in the shape of a parabola.if the tunnel is 40 feet wide and has a maximum height of 12 feet. write the equation of the quadratic function that represents the tunnel(let the axis of symmetry be the y-axis)
9514 1404 393
Answer:
y = -0.03x² +12
Step-by-step explanation:
For "tunnel" or "arch" or "bridge" problems, I like to start with the expression ...
y = 1 - x²
It has a height of 1 and intersects the x-axis at ±1. This can be scaled to give the appropriate height and x-intercepts.
We want the x-intercepts to be ±20, so we can scale this horizontally by a factor of 20:
y = 1 -(x/20)²
We want the height to be 12, so we can scale it vertically by a factor of 12:
y = 12(1 -(x/20)²
y = 12 -12(x²/400)
y = -0.03x² +12