Answer:
[tex](2x+3)(2x+3)[/tex]
Step-by-step explanation:
The given expression is
[tex]4x^2+12x+9[/tex]
Here, a=4, b=12, c=9.
Step 1: Multiply [tex]a\cdot c=4\cdot 9=36[/tex]
Step 2: Find the factors of ac that add to b.[tex]6\cdot 6=36[/tex] and [tex]6+6=12=b[/tex] So, two factors of ac are 6 and 6.
Step 3:[tex]4x^2+6x+6x+9[/tex]
Step 4:[tex](4x^2+6x)+(6x+9)[/tex]
Step 5:[tex]2x(2x+3)+3(2x+3)[/tex]
Step 6:[tex](2x+3)(2x+3)[/tex]
Therefore, the required factor form is [tex](2x+3)(2x+3)[/tex]. It can also written as [tex](2x+3)^2[/tex].
True or False: In a uniform probability distribution, any random variable is just as likely as any other random variable to occur, provided the random variables belong to the distribution.'
Answer:
True
Step-by-step explanation:
trust me, i remember this question
Use the drawing tool(s) to form the correct answer on the provided number line. Consider the functions below. Represent the interval where both functions are increasing on the number line provided.
In order to solve this problem, we will need a little more information, for example, we need to know what the functions are. Let's say the problem looks like this:
Use the drawing tool(s) to form the correct answer on the provided number line. Consider the functions below.
[tex]f(x)=|3x|-3[/tex]
and
[tex]g(x)=-x^{2}+8x-5[/tex]
Represent the interval where both functions are increasing on the number line provided.
Answer:
See attached picture
Step-by-step explanation:
Since this problem is posted on the algebra section of Brainly, I assume we will need to make use of an algebraic approach to solve this. Basically, the idea is to graph the functions and find the x-values for which both functions increas. In order to graph the functions, we will need to build a table with points for each of the functions. In order to graph the functions you need to pick the x-values you wish and evaluate them in the given functions. (See attached pictures)
Once you got the desired points, you can plot them in the coordinate axis and find the x-values for which both graphs will be increasing. If we take a close look at the graphs we can see the f(x) graph increases in the interval:
(0,∞)
and the g(x) graph increases in the interval:
(-∞,4)
so the interval in which both graphs are increasing will be the region where both intervals cross each other, which will be (0,4)
so that's the interval we draw on our number line. (see attached picture.
Answer:
see photos
Step-by-step explanation:
Plato/Edmentum
C(n)=4/9(-3)^n-1. WHATS THE 3rd TERM? Please help I can’t get this done
Answer:
Third term=4
Step-by-step explanation:
Given:
C(n)=4/9(-3)^n-1
Find the third term
Let n=3
Substitute n=3 into the equation
C(n)=4/9(-3)^n-1
C(3)=4/9(-3)^3-1
Step 1: evaluate the power 3-1
C(3) = 4/9(-3)^2
Step 2: evaluate (-3)^2
C(3) = 4/9(9)
It can be rewritten as
C(3) = 4/9*9
9 numerator will strike 9 denominator out leaving 4
C(3)=4
Therefore, the third term=4
C(3)=4
If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A triangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)
Correct question :
If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A rectangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)
Answer: (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3)
Step-by-step explanation:
Given the following :
A triangle with base x + 2, height x, and side length x + 4 - - - -
b = x + 2 ; a = x ; c = x + 4
Perimeter (P) of a triangle :
P = a + b + c
P =( x + 2) + x + (x + 4) - - - (1)
A rectangle with length of x + 3 and width of one-half x
l = x + 3 ; w = 1/2 x
Perimeter of a rectangle (P) = 2(l+w)
P = 2(x+3) + 2(1/2x)
If perimeter of each same are the same ; then;
(1) = (2)
(x + 2) + x + (x + 4) = 2(x+3) + 2(1/2x)
Answer:
B
Step-by-step explanation:
Find the ordered pair $(s,t)$ that satisfieFor a certain value of $k,$ the system \begin{align*} 3a + 4b &= 7,\\ 6a + 4b &= k- 4b \end{align*}has infinitely many solutions $(a,b).$ What is $k$?s the system \begin{align*} \dfrac{s}{2} + 5t &= 3,\\ 3t - 6s &= 9. \end{align*}
Answer:
Step-by-step explanation:
Middle school help???? fast
Answer:
8.4 ft
Step-by-step explanation:
Perimeter = side x 4
(Re-arrange)
Side = Perimeter / 4
34/4 = 8.4 ft
Answer:
8.5 feet
Step-by-step explanation:
Divide 34 by 4. A square has 4 sides which are all the same.
Can anyone plz help me? with this math question?
Answer:
it May be SAS postulate
Write the point-slope form of an equation of the line through the points (-1, 4) and (-2, 2)
A. y + 2 = 2(x - 2)
B. y 4 20 + 1)
c. y + 1 = 2(3-4)
D. y 2 233 - 2)
Answer:
The answer is option BStep-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find an equation of a line given two points first find the slope / gradient
Slope of the line using points (-1,4) and (-2,2) is
[tex]m = \frac{2 - 4}{ - 2 + 1} = \frac{ - 2}{ - 1} = 2[/tex]
So the equation of the line using point (-1,4) is
y - 4 = 2( x + 1)Hope this helps you
Solve the answer -4(8+Y)= 90
[tex]-4(8+y)=90\implies8+y=-22.5\implies y=-30.5[/tex].
Hope this helps.
Answer:
-30.5.
Step-by-step explanation:
-4(8 + Y) = 90
-32 - 4Y = 90
-4Y = 122
Y = -30.5.
Hope this helps!
Write the equation of the circumference that meets the condition: Center on the line: x -4y = 1 And it passes through the points A (3,7) and B (5,5)
Answer:
(x + 3)² + (y + 1)² = 100
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center of the circle and r is the radius.
The center is on the line x − 4y = 1, so:
h − 4k = 1
h = 1 + 4k
(x − 1 − 4k)² + (y − k)² = r²
Two points on the line are (3, 7) and (5, 5), so:
(3 − 1 − 4k)² + (7 − k)² = r²
(5 − 1 − 4k)² + (5 − k)² = r²
Set the equations equal:
(3 − 1 − 4k)² + (7 − k)² = (5 − 1 − 4k)² + (5 − k)²
(2 − 4k)² + (7 − k)² = (4 − 4k)² + (5 − k)²
4 − 16k + 16k² + 49 − 14k + k² = 16 − 32k + 16k² + 25 − 10k + k²
4 − 16k + 49 − 14k = 16 − 32k + 25 − 10k
53 − 30k = 41 − 42k
12k = -12
k = -1
h = 1 + 4k
h = -3
(3 − 1 − 4k)² + (7 − k)² = r²
(3 − 1 + 4)² + (7 + 1)² = r²
6² + 8² = r²
r = 10
Therefore, the equation of the circle is:
(x + 3)² + (y + 1)² = 10²
Does the table represent a function? Why or why not?
4
5
NWNWOX
5
7
9
A. No, because one x-value corresponds to two different y-values.
O B. Yes, because every xvalue corresponds to exactly one y value.
O C. No, because two of the y-values are the same.
O D. Yes, because there is the same number of x-values as y-values.
Answer:
Let's put the chart into ordered pairs:
(x, y)
(2,1)
(3,4)
(3,3)
(4,2)
(5,5)
In bold, we see that there are two y-values at x=3. This means that this relation fails the vertical line test (two points on the same verticle line). This is not a function.
The answer options may be mis-written.
The answer is no, because one x value corresponds to more than one y-value.
which ordered pair has a solution to the system of inequalities. y>2x and y>3
Answer:
We have the system:
y > 2*x
y > 3
Now, let's find the limits:
taking y > 3, we can see the limit y = 3.
Now we replace it in the first inequality:
3 > 2*x
3/2 > x.
Then we have that:
y > 3
x < 3/2
Those two inequalities define our system.
So any ordered pair where x is smaller than 3/2 and y is larger than 3, is a solution.
or example:
(1, 3.5) is a solution.
Answer:
(1,5)
Step-by-step explanation:
the other options make the system of equations wrong..
If approximately 10% of people are left-handed, how many lefties would you expect in a high school graduating class of 424
Answer:
42
Step-by-step explanation:
P(left) = 0.10
Expected number of lefties among high school grads of 424
= 424 * 0.10
= 42 (to the nearest person)
Answer:
you do 20% of 424
1 0% of 424 =42.4
you could round it to 42
-5a-9+a=15 Explain please
Answer:
a = -6
Step-by-step explanation:
-5a-9+a=15
Combine like terms
-5a+a -9 = 15
-4a -9 = 15
Add 9 to each side
-4a -9+9 = 15+9
-4a = 24
Divide by -4
-4a/-4 = 24/-4
a = -6
Answer:
a = -6
Step-by-step explanation:
1. Combine like terms: -4a – 9 = 15
2. Use the additive property of equality to add 9 to both sides: -4a = 24
3. Use division property of equality to divide -4 on both sides: a = -6
The circle below is centered at the point (-3,4) and had a radius of 3. What is it equation? ( top answers gets )
Answer:
( x+3) ^2 + ( y-4) ^2 = 9
Step-by-step explanation:
The equation of a circle can be written as
( x-h) ^2 + ( y-k) ^2 = r^2
Where ( h,k) is the center and r is the radius
( x--3) ^2 + ( y-4) ^2 = 3^2
( x+3) ^2 + ( y-4) ^2 = 9
Use pi=3.14. Round to the nearest hundredth
Answer:
9.42
pi x radius x radius x (height / 3) = volume
1 x 1 = 1 and 9/3 = 3
pi x 1 x 3 = volume
pi x 3 = volume
3.14 x 3 = 9.42
Hope this helps
Step-by-step explanation:
Please answer this question now in two minutes
Answer:
d is 5 units
Step-by-step explanation:
The owner of a music store gathered data from several schools about the number of students in their concert and marching bands. The scatter plot shows the data she gathered and the line of best fit
Answer:
25 students
Step-by-step explanation:
What we need to do here is to do some tracing. We simply need to go to the point on the concert band where we have the value 35.
After sighting this value, we then make a tracing to the line of best fit. Then from this line of best fit, we trace the point on the matching band that correlated with the value 35.
If properly traced, we would arrive at a value of 25 on the marching band
In which quadrant or on which axis do each of the points (2, 3 ), ( 5, -6 ), ( 2,0 ) , ( -5, 2 ), (-2,-4), (0,-2).
from the above picture
2,3 = 1 quadrant
5,-6 = 4 quadrant
2,0 = on x axis
-5,2 = 2 quadrant
-2,-4 =3 quadrant
0,-2 = on y axis
Find the measure of AEC and BED
Answer:
30°
Step-by-step explanation:
well AEB is a straight line which is 180° and we were already given the angles that made up the straight line ,so all u had to do was subtract 60° from 90°
BED =30°
Answer:
AEC=30
BED=30
Step-by-step explanation:
We know that AEC is 30 degrees because it is on line AB, along with a right angle and 60 degrees, add 90 to 60 to get 150, and subtract it from 180 to get your answer, 30
As for BED, AEC and BED are verticle angles so they are equivalent.
If you found this helpful, please consider giving me brainliest, it will help me a lot
Have a good day! :)
ASAP! Please help me with this question!
Answer:
24 cm
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
2304 pi = 4/3 pi r^3
Divide each side by pi
2304 = 4/3 r^3
Multiply each side 3/4
2304 * 3/4 = 4/3 r^3 * 3/4
1728 = r^3
Take the cube root of each side
1728 ^ 1/3 = r^3 ^ 1/3
12 = r
We want the diameter
d = 2*r
d = 2*12
d = 24
Answer:
24 centimeters
Step-by-step explanation:
A basketball is a sphere. The volume of a sphere can be found using the following formula:
V= 4/3 π r^3
We know that the volume is 2304 π cm^3, therefore we can substitute 2304π in for V.
2304π = 4/3 π r^3
We want to find out what r is. Therefore, we must get r by itself. First, divide both sides by pi.
2304π/π=4/3πr^3/π
2304π/π=4/3r^3
2304=4/3r^3
Next, divide both sides by 4/3, or multiply by the reciprocal of 4/3. The reciprocal of 4/3 is 3/4 (flip the numerator and denominator).
2304*3/4=4/3r^3*3/4
2304*3/4=r^3
1728=r^3
Now, take the cube root of both sides.
∛1728=∛r^3
∛1728=r
12=r
r= 12 cm
The radius is 12 centimeters, but the question asks us to find the diameter. The diameter is twice the radius.
d= 2r
d= 2* 12 cm
d= 24 cm
The diameter of the basketball is 24 centimeters.
Hurry I need it now !
(04.01 MC)
Which characteristics will prove that ΔDEF is a right, scalene triangle?
Answer:
A right scalene triangle would have a 90 degree angle and 3 non congruent sides
Step-by-step explanation:
Please answer this question now
Answer:
<S = 62 degrees
Step-by-step explanation:
For this problem, you need to understand two things. A line tangent to a circle's radius creates a 90-degree angle, and the sum of the interior angles of a triangle is 180 degrees. With that said, let's continue.
<S + <P + <Q = 180
<S + 90 + 28 = 180
<S + 118 = 180
<S = 62
Hence, <S = 62 degrees.
Cheers.
4 men can make 4 Cupboards in 4 days ; how many cupboards can 14 men make in 14 days?
Answer:
49 cupboards
Step-by-step explanation:
See the steps below, it is self-explanatory:
4 men ⇒ 4 days ⇒ 4 cupboards4 men ⇒ 1 day ⇒ 1 cupboard1 man ⇒ 1 day ⇒ 1/4 cupboard14 men ⇒ 1 day ⇒ 14/4 cupboards14 men ⇒ 14 days ⇒ 14*14/4 cupboardsAs 14*14/4= 49, the answer is 49 cupboards
Please help me!!!!!! I do not understand...
Answer:
the second one........the shape of the conic section os circle
Enter a range of values for x.
85°
25
5x - 10
[ ? ]
Enter
==================================================
Explanation:
We'll use the hinge theorem here. This says (more or less) that the larger an angle is, the side opposite of that will be longer.
Imagine that the segments with the single tickmarks represent a door swinging open/shut. The more open a door is, the further the distance it is from the handle to the frame. In terms of these triangles, the segment 25 is larger than 5x-10 because the angle 90 (opposite the 25) is larger than the angle 85 degrees (opposite the 5x-10)
In symbols we say
5x - 10 < 25
We also say 5x - 10 > 0 or 0 < 5x - 10 to ensure that the segment of length 5x-10 is not 0 or negative.
Put the two inequalities together and we get 0 < 5x - 10 < 25
------------
Solve for x
0 < 5x - 10 < 25
0+10 < 5x - 10 < 25 + 10 .... adding 10 to all sides
10 < 5x < 35
10/5 < 5x/5 < 35/5 ... dividing all sides by 5
2 < x < 7
We have x between 2 and 7, and not equal to either endpoint.
Can someone please help me with this and show work
Answer:
29/6-16/2549/30Rationalize(1.63333333333)1*(19/30)20 POINTS AND WILL GIVE THE BRAINLIEST!!! Jack's favorite sports drink comes in a 20-ounce bottle. The manufacturer of the sports drink requires a tolerance of 0.4 ounce. This means that as long as the bottle is within 0.4 ounce of 20 ounces, the bottle can be sent to stores to be sold.
sold. Write an absolute value inequality describes the acceptable weight, w, of a 20-ounce bottle of sports drink
Answer:
[tex]|w-20|\leq 0.4[/tex]
Step-by-step explanation:
The manufacturer requires that the weight differs from 20 oz in at most 0.4 oz, therefore we can write this difference (which can be either above or below 20 oz, to be smaller than or equal to 0.4 oz.
The weight can be:
1) smaller than or equal to 20 oz + 0.4 oz: [tex]w\leq 20+0.4[/tex] then [tex]w-20\leq 0.4[/tex]
2) larger than or equal to 20 oz - 0.4 oz: [tex]20-0.4\leq w[/tex] then [tex]-0.4\leq w-20[/tex]
and which combined, can be written as a double inequality;
[tex]-0.4 \leq w-20\leq 0.4[/tex]
This double condition can also be written using the absolute value symbol as: [tex]|w-20|\leq 0.4[/tex]
Find the equation of the circle whose center and radius are given. Center:(-2,-5) Radius=1
Answer:
( x+2)^2 + (y+5)^2 = 1
Step-by-step explanation:
The equation of a circle can be written in the form
( x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
( x- -2)^2 + (y- -5)^2 = 1^2
( x+2)^2 + (y+5)^2 = 1
Answer:
[tex](x + 2)^{2} + (y + 5)^{2} = 1[/tex]
Step-by-step explanation:
The guy above is correct! I just finished the quiz and checked the answer key.
Brahmagupta’s solution to a quadratic equation of the form ax2 + bx = c involved only one solution. Which solution would he have found for the equation 3x2 + 4x = 6?
Answer:
0.897
Step-by-step explanation:
Brahmagupta formula for quadratic equation [tex]ax^2+bx=c[/tex] is
[tex]x=\dfrac{\sqrt{4ac+b^2}-b}{2a}[/tex]
It involved only one solution.
The given equation is
[tex]3x^2+4x=6[/tex]
Here, a=3, b=4 and c=6. Put these values in the above formula.
[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]
[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]
[tex]x=\dfrac{\sqrt{72+16}-4}{6}[/tex]
[tex]x=\dfrac{\sqrt{88}-4}{6}[/tex]
[tex]x\approx \dfrac{5.38}{6}[/tex]
[tex]x\approx 0.897[/tex]
Therefore, the required solution is 0.897.