Step-by-step explanation:
Rewrite 9x2 as (3x)2
.
(3x)2+24x+16
Rewrite 16
as 42
.
(3x)2+24x+42
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
24x=2⋅(3x)⋅4
Rewrite the polynomial.
(3x)2+2⋅(3x)⋅4+42
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2
, where a=3x and b=4
.
(3x+4)2
How many different positive rotations of less than 360 degrees
will map a square to itself?
A. infinitely many
B. 1
C. 3
D. 0
Answer:
3
Step-by-step explanation:
Took quiz
i need to know the answer to this please ive been trying to figure it out forever now and i dont know what to do
Jordan drove for 6 hours at 55 miles per hour, while Matt drove for 3 hours at 60 miles per hour. If Isaac drove 82 miles longer than Jordan and Matt drove combined, for how many miles did Isaac drive.
Answer:
592 miles
Step-by-step explanation:
Answer:
592 miles
Step-by-step explanation:
1. To figure out how many miles Jordan drove, multiply 6 by 55. 6 x 55 = 330.
2. To figure out how many miles Matt drove, multiply 3 by 60. 3 x 60 = 180.
3. Add 330 and 180 together to find out how many miles they drove in total. 330 + 180 = 510 miles.
4. Add Isaac's 82 miles to 510 miles to get the answer of 592 miles.
Solve cos x + √2 = -cos x for x over the interval [0, 2Π)
Answer:
[tex]x=\frac{3\pi}{4}\\\\x=\frac{5\pi}{4}[/tex]
Step-by-step explanation:
Trigonometric Equations
It's required to solve:
[tex]\cos x+\sqrt{2}=-\cos x[/tex]
for [tex]x\in [0,2\pi)[/tex]
Adding cos x:
[tex]2\cos x+\sqrt{2}=0[/tex]
Subtracting [tex]\sqrt{2}[/tex]
[tex]2\cos x=-\sqrt{2}[/tex]
Dividing by 2:
[tex]\displaystyle \cos x=-\frac{\sqrt{2}}{2}[/tex]
Solving for x:
[tex]\displaystyle x=\arccos\left(-\frac{\sqrt{2}}{2}\right)[/tex]
We need to find the angles whose cosine is [tex]-\frac{\sqrt{2}}{2}[/tex] over the given interval.
These angles lie on the quadrants III and IV respectively and they are:
x=135°, x=225°
Converting to radians:
135 * π / 180 = 3π/4
225 * π / 180 = 5π/4
The two solutions are:
[tex]\mathbf{x=\frac{3\pi}{4}}[/tex]
[tex]\mathbf{x=\frac{5\pi}{4}}[/tex]
Answer:
The correct answer is option C
Step-by-step explanation:
Solve 3(x-4)=12x ......
Answer:
The answer is x= -4/3
Step-by-step explanation:
3(x-4)=12x
=3x-12=12x
=3x-3x-12=12x-3x
-12=9x
To find x divide both sides by 9.
-12÷9=9x÷9
-4/3=x
SOMEONE PLEASE HELP ME WITH THIS I NEED IT!!!
Answer:
to be entirely honest i do not know
Step-by-step explanation:
if the difference of simple interest on a certain amount of money for 4%for five years and 5%for 4 years is. Rs. 28. find the sum
Answer:
96000
Step-by-step explanation:
N=4years
R=4 %
We have S.I.=
100
PNR
=
100
P×4×4
=
100
16P
=0.16P
And on interest being compounded for 3 years and R=5 %, Amount=P(1+
100
R
)
N
=P(1+
100
5
)
3
=P×(1.05
3
)=1.157625P
So, C.I.=A−P=1.157625P−P=0.157625P
Given, S.I.−C.I=Rs228
=>0.16P−0.157625P=Rs228
=>0.002375P=Rs228
=>P=Rs96,000
plz tell me the correct answer
Answer: H
Step-by-step explanation:
on someone plz help it is timed i will give Brainliest if correct
Answer:
D.
Step-by-step explanation:
A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the schools students 32% of them plan to go into general practice. Find the p- value for a test of the schools claim
Answer: 0.1548
Step-by-step explanation:
The P value can be calculated from the value of the test statistic :
H0 : p ≤ 0.28
H1 : p > 0.28
Zstat :
(p - p0) / √((p0(1-p0))/n)
p = 0.32 ; p0 = 0.28 ; n = 130
(0.32 - 0.28) / √((0.28(1 - 0.28))/130)
Zstat = 1.0157490
Zstat = 1.016
Using a 0.05 significance ;
The P value obtained using the p value from z statistic calculator is 0.154815
Use the figure to find the measure of Angle 6.
Answer:
40
Step-by-step explanation:
140-180= 40
How do these results about area and perimeter of similar quadrilaterals compare with similar situations for triangles?
Answer:
Let's see
Step-by-step explanation:
Two triangles are same ∆1 and ∆2
They have same height and breath
Now ∆1= ∆2
=> ar(∆1)= ar(∆2)
The same is for quadrilaterals
Write a function for the geometric sequence where the first term is 11 and the common ratio is 4. please help This is due today and I don't understand it I will give brainliest
Given:
In a geometric sequence,
First term = 11
Common ratio = 4
To find:
The function for the geometric sequence.
Solution:
We have,
First term: a = 11
Common ratio: r = 4
We know that, nth term of a geometric sequence is
[tex]a_n=ar^{n-1}[/tex]
Putting a=11 and r=4, we get
[tex]a_n=(11)(4)^{n-1}[/tex]
The function notation is
[tex]f(n)=(11)(4)^{n-1}[/tex]
Therefore, the function for the geometric sequence is [tex]f(n)=(11)(4)^{n-1}[/tex], where n is a positive integer.
PLS HELP ASAP, ILL MARK BRAINLIEST IF ITS A REAL ANSWER. LOOK AT THE PICTURE
Answer:
Both graphs are proportional
Step-by-step explanation:
in the first graph the x is multiplied by 3 to get y. in the second, you are getting rid of 1/3 of x to get y
If f(x) = -3x + 5, find f(6.4).
Answer:
-14.2
Step-by-step explanation:
f(x)=-3x+5 Write original equation
f(6.4)=-3(6.4)+5 Substitute 6.4 in for x.
=-14.2 Solve
Tim has a large collection of books. The number of paperback books he has is 3 times less then 4 times the amount of hardcover books. How many hardcover books does Tim have?
Complete Question:
Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?
Answer:
Tim has 90 hard cover books
Step-by-step explanation:
Represent the paper books as P and the hard covers as H
The total number of books can be represented as:
[tex]P + H = 447[/tex]
From the first statement, we have:
P = 3 less than 4 times H
This means:
[tex]P = 4H - 3[/tex]
Required
Solve for H
Substitute 4H - 3 for P in [tex]P + H = 447[/tex]
[tex]4H - 3 + H = 447[/tex]
Collect Like Terms
[tex]4H + H = 447 + 3[/tex]
[tex]5H = 450[/tex]
Solve for H
[tex]H = \frac{450}{5}[/tex]
[tex]H = 90[/tex]
Hence:
Tim has 90 hard cover books
Please help me brainlessly
Solve the given system using elimination.
Answer:
s = 1
t = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
15s + t = 5
4s = 3t + 34
Step 2: Rewrite
15s + t = 5
Subtract t on both sides: 15s = -t + 5Multiply both sides by 3: 45s = -3t + 15Step 3: Redefine Systems
45s = -3t + 15
4s = 3t + 34
Step 4: Solve for s
Elimination
Combine equations: 49s = 49Divide 49 on both sides: s = 1Step 5: Solve for t
Define equation: 15s + t = 5Substitute in s: 15(1) + t = 5Multiply: 15 + t = 5Isolate t: t = -10Answer:
Explanation is below
Step-by-step explanation:
Here ya go
Step 1
15s+t=5,4s=3t+34 Question
Step 2
4s=3t+34 Substitute -15s+5
4s=3(-15s+5)+34
s=1
Step 3
t=-15s+5 Substitute 1 for s
t=(-15)(1)+5
t=-10
answer
s=1
t=-10
Solve the system using substitution. Check your solution.
2x - y= 65
5y = x
Answer:
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]
isolate 'x' for 2x-y
[tex]2x-y=65[/tex]
Add y to both sides
[tex]2x-y+y=65+y[/tex]
[tex]2x=65+y[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]
[tex]x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]
isolate 'y' for [tex]5y=\frac{65+y}{2}[/tex]
[tex]5y=\frac{65+y}{2}[/tex]
[tex]10y=65+y[/tex]
subtract y from both sides
[tex]10y-y=65+y-y[/tex]
[tex]9y=65[/tex]
Divide both sides by 9
[tex]\frac{9y}{9}=\frac{65}{9}[/tex]
[tex]y=\frac{65}{9}[/tex]
[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]
[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]
[tex]x=\frac{325}{9}[/tex]
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
Someone please Help??
A line with a slope of 3 passes through the point (6,9). What is its equation in
slope-intercept form?
The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
A line with a slope of 3 passes through the point (6,9).
m = 3
The line equation:
y = mx + c
y = 3x + c
9 = 3(6) + c
c = -9
y = 3x - 9
Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
Learn more about the straight line here:
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What is the difference of 104 - 2.84?
O 100.31
O 100.56
O 101.16
O 102.16
What is the general form of the equation 2x + 3y = 9?
Answer:
2x + 3y - 9 = 0
Step-by-step explanation:
Two angles in a right triangle has angle measures of 90° and 50°. What is the measure of the third angle?
(8^5)^0 + (7 + 3)^6 x 10^-8
Please answer!!!
Answer:
1.01 m8
Step-by-step explanation:
PLEASE ANSWER THIS I BEG FOR YOUR MERCY!!!!!!!!!!!! if you dont know....dont answer
Answer:
the answer is the second choice
Step-by-step explanation:
hopefully this helps :)
Which equation represents a linear function?
equation 1: y=2x^2+1
equation 2: y=8x+1
equation 3:y=5x^3-1
equation 4: y^2=4x-1
a. equation 1
b. equation 2
c. equation 3
d. equation 4
I need an answer by today ASAP! please!
Answer:
Equation 2
Step-by-step explanation:
Equation 2 is the only one possible to be linear. All of the other answers have an exponents. For instance, say you have y=x^3. For 1, it is 1*1*1. (1,1). For 2, it is 2*2*2. (2,8). For 3, 3*3*3. (3,27) It escalates into a curve and is non-linear.
Help... pls ASAP Fill in the blanks
Answer:
I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.
Step-by-step explanation:
So, for the chart you just mulitply and evauluate
Time (min) | 2 | 3 | 4 | 5 | 6 |
Water used (gal) | 8 | 12 | 16 | 20 | 24 |
Plz help fast and correct!!!! (I will report if answer is stupid!!!)
Your school is installing new turf on the football field. A coordinate plane has been superimposed on a diagram of the football field where 1 unit = 20 feet. A) what is the length of the field. B) what is the perimeter of the field. C) Turf costs $2.69 per square foot. Your school has a $150,000 budget. Does the school have enough money to purchase new turf for the entire field? Please show the steps.
Answer:
Step-by-step explanation:
1) length of the field = 18 unit= 18*20=360 ft
2) circumference = 2(l+w)
2*(18*20+8*20)=1040
3) Area of the field = 18*8 units = 18*20*8*20ft^2 = 57600ft^2
Cost for the entire area= 57600*2.69= 170,000$
No it doesn't
A) The length of the field is 360 feet
B) The Perimeter of field is 1040 feet
C) The school does not have enough money to purchase new turf for the entire field.
what is Area of rectangle?The Area of rectangle is the product of the length to its width.
Area of rectangle= length x width
Given:
1 block= 20 feet
A) length= 18 blocks
= 18 x 20
= 360 feet
width= 8 blocks
= 8 x 20
= 160 feet
B) Perimeter of field
= 2( l+w)
=2( 360 + 160)
= 2 x 520
= 1040 feet
C) Area of field
= l x w
=360 x 160
= 57600 feet²
If cost of 1 square feet is $2.96
and, the cost of 57600 feet²
= 2.96 x 57600
= $170,496
No, the school does not have enough money to purchase new turf for the entire field.
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