Given:
The expression is:
[tex]b^2+20b[/tex]
To find:
The a monomial so that the trinomial may be represented by a square of a binomial.
Solution:
If an expression is [tex]x^2+bx[/tex], then be need to add square of half of coefficient of x, i.e., [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the given expression to make in perfect square.
We have,
[tex]b^2+20b[/tex]
Here, coefficient of b is 20,so wee need to add square of half of coefficient of b, i.e., [tex]\left(\dfrac{20}{2}\right)^2[/tex].
[tex]\left(\dfrac{20}{2}\right)^2=10^2[/tex]
[tex]\left(\dfrac{20}{2}\right)^2=100[/tex]
Therefore, we need to add 100 to make [tex]b^2+20b[/tex] a perfect square binomial.
What is the answer?? I need help
Answer:
∠EFD
Step-by-step explanation:
Δ ABC similar ΔDEF
Trick is to keep the letters in the same order. A for D, B for E, and C for F
∠BCA
Where is the B?
second.
What's the second letter in other triangle?
E.
C is the third. F is the third in the other.
A is first. D is first.
In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply
El resultado de 3^2∙3^2 es:
Answer:
3^2 x 3^2 = 813^2 = 3 x 3 = 9
9 x 9 = 81
Answer:
[tex]3^{2} \times3^{2}[/tex]
[tex]3^{2+2}[/tex][tex]3^{4}[/tex][tex]3x^{4} =81[/tex][tex]Answer: 81[/tex]
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hope it helps...
have a great day!!
Can someone help me with this math homework please!
Answer:
12
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] x - [tex]\frac{5}{4}[/tex] + 2x = [tex]\frac{5}{6}[/tex] + x
Multiply through by 12 ( the LCM of 2, 4, 6 ) to clear the fractions
6x - 15 + 24x = 10 + 12x
Answer:
12
Step-by-step explanation:
[tex]12( \frac{1}{2}x - \frac{5}{4} +2x= \frac{5}{6} + x)[/tex]
6x-15+24x=10+12x
Find the area of the kite
Answer:
the area to the kite is sixty-four
Step-by-step explanation:
multiply the width to the height
Please help. I’m lost with this.
Answer:
35 miles
Step-by-step explanation:
You add up all of the miles on the chart to get 35 miles. Have a great day! I hope this helped.
I don’t get this pls helppppppp!!!!!!!!!!!!
Answer:
1) f(x)<x+4
f(x)>-x-3
f(x)<5
[tex]ANSWER: (-3,4)[/tex]
2)2.5>0+2
2.5<0+3
2.5<0+5
[tex]ANSWER: (0,2.5)[/tex]
----------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
Please help i have exam tom.
Answer:
Step-by-step explanation:
this is a simultaneous equation question
f(1)=8 so a(1) + b = 8
f(4)=17 so a(4) + b = 17
can you figure this out from here ???
if you can't below is how to solve it
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a + b = 8
4a+b=17
multiply the top equation by 4 and then subtract the bottom one from the top
4a+4b = 32
-(4a +b = 17)
3b = 15
b=5
now plug 5 into the first equation
a + 5 = 8
a=3
there you go :)
The students in a school can be arranged in 12, 15 and 18 equal rows and also into a solid square. What is the lowest number of students that can be in the school?
Hello,
Let's x then number of students.
x is divisible by 12,15,18 thus by 180 (lcm)
x=180*k is a square
2²*3²*5*k= a square ==> k=5
x=180*5=900
Proof:
900/12=75
900/15=60
900/18=50
900=30²
6 students were asked the age of their oldest sibling:
21, 31, 26, 24, 28, 26.
Arrange the scores from lowest to highest.
Find the following. LABEL you answers. Q1, Q2, Q3, IQR, and Range.
Q1=
Q2 (median)=
Q3=
IQR= Q3- Q1
IQR=
Range: Max score - Min score
Range =
HELP ASAP PLEASE
Answer:
Q1= 31 AND 28
Q2= 26 AND 26
Q3= 24 AND 21
Step-by-step explanation:
Which of the following rational functions is graphed below?
Answer:
A)
Step-by-step explanation:
Write a recursive rule for the sequence.
x, x, 2x, 3x, 5x, 8x, ...
I know that it adds its last term but I don't know the rule/formula to show that.
Answer:
f(n)=f(n-1)+f(n-2)
f(1)=1x
f(2)=1x
Step-by-step explanation:
This is the fibonacci sequence with each term times x.
Notice, you are adding the previous two terms to get the third term per consecutive triples of the sequence.
That is:
1x+1x=2x
1x+2x=3x
2x+3x=5x
3x+5x=8x
So since we need the two terms before the third per each consecutive triple in the sequence, our recursive definition must include two terms of the sequence. People normally go with the first two.
f(1)=1x since first term of f is 1x
f(2)=1x since second term of f is 1x
Yes, I'm naming the sequence f.
So I said a third term in a consecutive triple of the sequence is equal to the sum of it's two prior terms. Example, f(3)=f(2)+f(1) and f(4)=f(3)+f(2) and so on...
Note, the term before the nth term is the (n-1)th term and the term before the (n-1)th term is the (n-2)th term. Just like before the 15th term you have the (15-1)th term and before that one you have the (15-2)th term. That example simplified means before the 15th term you have the 14th and then the 13th.
So in general f(n)=f(n-1)+f(n-2).
So the full recursive definition is:
f(n)=f(n-1)+f(n-2)
f(1)=1x
f(2)=1x
Find the area of a circle with radius, R = 6.37m.
Give your answer rounded to 2 DP
Answer:
A = 127.48 rounded
Step-by-step explanation:
Area of a circle:
A = [tex]\pi r^{2}[/tex]
A = [tex]\pi[/tex][tex](6.37)^{2}[/tex]
A = 127.48 rounded
Answer:
It's 127.47
First we take the radius and square it
6.37^2
then we multiply it by pi
40.5769 x π = 127.47
What are the coordinates of R?
Answer: y,0
Step-by-step explanation:
Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.
Answer:
{2, 6, 14}
Step-by-step explanation:
Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.
To get the range, we will substitute the values of the domain into the given function as shown;
when x = -1
f(-1) = 4(-1)+6
f(-1) = -4+6
f(-1) = 2
when x = 0
f(0) = 4(0)+6
f(0) = 0+6
f(0) = 6
when x = 2
f(2) = 4(2)+6
f(2) = 8+6
f(2) = 14
Hence the required range are {2, 6, 14}
Factor 2x^2 +15x +25 = 0
Answer:
Step-by-step explanation:
(2x + 5)(x + 5) = 0
2x + 5 = 0
2x = - 5
x = -5/2
x + 5 = 0
x = -5
The perimeter of a square is 80cm
state the length of one of its side
Answer:
20cm
Step-by-step explanation:
a square has 4 equally long sides.
when we know its perimeter, that means we know the sum of all 4 sides.
since all sides are equality long, we only need to divide the perimeter by 4 to get the length of an individual side.
80/4 = 20cm
Dairy cows at large commercial farms often receive injections of bST (Bovine Somatotropin), a hormone used to spur milk production. Bauman et al. (Journal of Dairy Science, 1989) reported that 12 cows given bST produced an average of 28.0 kg/d of milk. Assume that the standart deviation of milk production is 2.25 kg/d. (a) Find a 99% confidence interval for the true mean milk production. Round your answers to two decimal places (e.g. 98.76).
Answer:
The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{2.25}{\sqrt{12}} = 1.67[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 28 - 1.67 = 26.33 kg/d.
The upper end of the interval is the sample mean added to M. So it is 28 + 1.67 = 29.67 kg/d.
The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d.
Question 2 Multiple Choice Worth 1 points)
(01.06 MC)
If D is the midpoint of AB and AB = 15, what is AD?
Answer:
If D is the midpoint of the segment AB, then we have to find the measure of segment AD. Therefore, AD = 7.5 units will be the answer.
Which of the following equations have no solutions?
Choose all answers that apply:
Α.
5x + 5 = -42 – 5
B
-4x + 5= -42 - 4
–4x + 5 = -4x – 5
D
4x + 5 = -4x + 5
Answer: b and c
a) 5x + 5 = -4x - 5
9x = - 10
x = -10/9
-
b) - 4x + 5 = -4x - 4
0x = -9 (no solution)
-
c) -4x + 5 = -4x - 5
0x = -10 (no solution)
-
d) 4x + 5 = -4x + 5
8x = 0
x = 0
-
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
What is the value of y in the equation y = 3x - 2. whenx = 2? *
Answer:
4
Step-by-step explanation:
y=3x-2
y=3(2)-2
y=6-2
y=4
Your plane leaves Boston (Eastern Standard Time) at 7:00am, bound for Los Angeles (Pacific Standard Time). The flight takes 5 hours. What is time when you arrive in Los Angeles
Answer:
The plane arrives Los Angeles at 9:00 am
Step-by-step explanation:
The Pacific Standard Time (PST) in Los Angeles is 3 hours earlier than the Eastern Standard Time (EST) in Boston
Therefore,
7:00 am at Boston = 4:00 am in Los Angeles
If the plane takes 5 hours
What is time when you arrive in Los Angeles
The plane arrives Los Angeles at 4:00 am + 5:00 hours
= 9:00 am
The plane arrives Los Angeles at 9:00 am
The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)?
(image should be attached somewhere)
Answer:
The remainder will be 3.
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).
Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).
We can rewrite the binomial as (x - (-1)).
Therefore, a = -1.
Then the remainder will be P(-1).
Looking at the graph, we can see that P(-1) = 3.
Thus, the remainder when P(x) is divided by (x + 1) is 3.
Answer:
The remainder is 3 :)
Step-by-step explanation:
please mark me as brainliest
Jose and a group of friends bought concert tickets for $257. The booking agency also charged a fee, bringing the total cost to $274.99. The amount of change is $17.99.
What is the percent increase in the cost due to the fee?
Answer: hello there here is your answer:
7%
Step-by-step explanation:
if you divide the difference between the two numbers it will give you a decimal ....you need to convert that decimal into a percent which is 7%
hope this help have a good day bye
Answer:
the other person is correct
Step-by-step explanation:
2.4x-15=1
3. 2y+3= -11
4.2y+7= -7
5. 3w+3=3
Answer:
2. x=4
3. y= -7
4. y = -7
5. w = 0
Step-by-step explanation:
2.
4x-15=1
4x=16
x=4
3.
2y+3= -11
2y=-14
y= -7
4.
2y+7= -7
2y = -14
y = -7
5.
3w+3=3
3w = 0
w = 0
Miguel's scores on his first three math
PACE Tests were 95, 92, and 90. What
score does he need on his next test to
have a 94 average?
Answer: 99
Step-by-step explanation:
Fourth PACE Test = xSince the average of all four tests is 94:
[tex]\frac{95+92+90+x}{4} =94\\\\(4)\frac{277+x}{4} =(4)94\\\\277+x=376\\\\x=376-277=99[/tex]
Find K if x + 1 is a factor of P(x) = Kx^2-x+2
Answer:
[tex]K=-3[/tex]
Step-by-step explanation:
According to the Factor Theorem, a binomial (x - a) is a factor of a polynomial P(x) if and only if P(a) = 0.
We have the polynomial:
[tex]P(x)=Kx^2-x+2[/tex]
And we want to find the value of K such that (x + 1) is a factor.
We can rewrite our factor as (x - (-1)). Thus, a = -1.
Then in orer for (x + 1) to be a factor, P(-1) must equal 0. Hence:
[tex]P(-1)=K(-1)^2-(-1)+2=0[/tex]
Simplify:
[tex]K+1+2=0[/tex]
Solve for K. Hence:
[tex]K=-3[/tex]
Which value of w ww makes 14 = 11 + w 8 ⋅ 6 14=11+ 8 w ⋅614, equals, 11, plus, start fraction, w, divided by, 8, end fraction, dot, 6 a tru
Answer:
w=4
Step-by-step explanation:
I dont understand what to do?
Answer:
a) 122°
b) 37°
Step-by-step explanation:
a) supplement angle of 58° = 180° - 58° =122°
b) complement angle of 53° = 90° - 53° = 37°
I need help very badly. thanks
Answer:
Step-by-step explanation:
area of a triangle is 1/2* base * height
1/2* 2.6* 3 is the area of the end of the object , now just multiply by it's length
9*( 1/2* 2.6* 3 )
this looks like choice 3 of the choices