Write a simplified polynomial expression in standard form to represent the area of the rectangle below:
(See photo)
A. 2x^2 + 3x - 20
B. 2x^2 + 13x - 1
C. 2x^2 + 13x - 20
D. 2x^2 + 3x - 1
Answer:
A
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = length × breadth
= (2x - 5)(x + 4) ← expand using FOIL
= 2x² + 8x - 5x - 20
= 2x² + 3x - 20 → A
How do you simplify 3 times the square root 13?
Answer:
3√13
Step-by-step explanation:
3√13
This expression cannot be simplified because you cannot take any common factor outside the root.
Can someone plz help me
Answer:
37500
Step-by-step explanation:
pattern is multiplying by -5.
-7,500*-5 = 37,500
Have a nice day! :-)
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5
Answer:
1 : 5
Step-by-step explanation:
3 students zoo
15 students aquarium
zoo : not zoo
3: 15
Divide each side by 3
3/3 : 15/3
1 : 5
20 The nth term of an arithmetic series is Un where un > 0 for all n.
The sum to n terms of the series is Sn
Given that u4 = 6 and that S11 = (u6)2 + 18
Find the value of u20
Answer:
Hi,
[tex]u_{20}=30[/tex]
Step-by-step explanation:
[tex]u_n=u_1+(n-1)*r, \ r= commun\ ratio.\\u_4=u_1+3*r=6\\u_6=u_1+5r\\(u_6)^2=u_1^2+10ru_1+25r^2\\s_n=u_1+u_1+r+u_1+2r+...+u_1+10r=11*u_1+55r\\s_{11}=(u_6)^2+18\ \\\Longrightarrow\ u_1^2+10ru_1+25r^2+18=11u_1+55r\\\Longrightarrow\ 4r^2+2r-12=0\\\Longrightarrow\ 2r^2+r-6=0\\r=\dfrac{3}{2} \ or\ r=-2\ (excluded)\\\\u_1=6-3r=\dfrac{3}{2} \\\\\\\boxed{u_{20}=u_1+19*r=30}\\[/tex]
The value of the 20th term of the arithmetic series will be 30
What is arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Un = u₁+(n-1) x r
u₄ = u₁ +(3 x r)=6
u₆ = u₁ +5r
u₆²=u₁²+10ru₁+25r²+18=11u₁+55r
Sn= u₁+u₁+r+u₁+2r+.............u₁+10r= (11 x u₁) +55 r
4r²+2r-12=0
2r²+r-6=0
r=3/2
u₁=6-3r=3/2
u₂₀=u₁+(19 x r)= 30
Hence the value of the 20th term of the arithmetic series will be 30
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Can anyone please help?
Answer:
i don't know
( lol )
heheeeee
1. Find x.
Please help ASAP
Answer: 2.31
Step-by-step explanation:
17. ralph is 3 times as old as sarah. in 4 years ralph will only be twice as old as sara will be then. find ralph’s age now.
Answer:
Sara is now 4, will be 8 in 4 years. Ralph is now 12, will be 16 in 4 years.
What is the solution to the system that is created by the equation y = - x + 6
Answer:
If you draw the graph of y = -x + 6 on the above graph the solution to system will be the coordinates of the point of intersection.
the equation of the line drawn above is y = 0.5x
so you can also find the solution by solving the system
y = 0.5x
y = -x + 6
0.5x = -x + 6
1.5x = 6
x = 6/1.5 = 4
and y = 0.5*4 = 2
The answer is (4, 2) - the third choice.
Step-by-step explanation:
Select all decimals that are equivalent to
(
9
×
100
)
+
(
2
×
10
)
+
(
3
×
1
10
)
+
(
5
×
1
100
)
.
A.
92.35
B.
920.350
C.
902.35
D.
92.350
E.
920.35
F.
920.035 I really need help
Answer:
B, E
Step-by-step explanation:
( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 0.10 ) + ( 5 ×0.01 ) = 920.35
A. 92.35
B. 920.350
C. 902.35
D. 92.350
E. 920.35
F. 920.035
If each month in a year was paired with all the possible numbers of days in the month will the result be a function? Explain
Using the function concept, it is found that the result would not be a function, as for each month, there would be multiple possible number of days.
What is the condition for a relation to represent a function?In a function, one value of the input can be related to only one value of the output.
In this problem, the input is the month and the output is the possible number of days in the month.
Since there is a month with either 28 or 29 days, and the other months have either 30 or 31 days, the are multiple outputs for each input, hence, the result is not a function.
You can learn more about the function concept at https://brainly.com/question/12463448
Find the value of z
A.110
B.141
C.80
D.100
Answer:
Option A 110degree is the answerwrite an equation for a line that is perpendicular to y=1/2x+6
Answer:
y= -2x+6
Step-by-step explanation:
General formula :
y=mx+c
m is the gradient
when finding when finding the perpendicular line of another line is will be the negative inverse of the gradient
The perpendicular line will have a gradient of -2 (the negative inverse of 1/2)
so
the line perpendicular to the equation y=1/2x+6
is y= -2x+6
Alex cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answer:
61 seconds
Step-by-step explanation:
36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.
Help ASAP
√3 (5 + √2)
Answer:
5*sqrt(3)+sqrt(6)
Step-by-step explanation:
sqrt(3)*(5+sqrt(2))=5*sqrt(3)+sqrt(6)
Answer:
(5 x sqrt(3)) + sqrt(6)
Brainliest, please! (Almost an Ace!)
Step-by-step explanation:
Distribute the sqrt(3) through and get:
(5 x sqrt(3)) + (sqrt(3) x sqrt(2))
Next, we simplify.
(5 x sqrt(3)) + sqrt(6)
What do you know about the slope when X2 - X1 = 0 ?
A. The slope is undefined.
B. The slope is zero.
C. The slope is positive.
D. The slope is negative.
Answer:
B
Step-by-step explanation:
The slope is zero is the answer
You have $95 in your bank account. Each week you plan to deposit $9 from your allowance and $10 from your paycheck. The equation b=95+(10+9)w gives the amount b in your account after w weeks. How many weeks from now will you have $220 in your bank account?
There will be $220 in the account after ___ weeks
Answer:
7 weeks
Step-by-step explanation:
b=95+(10+9)w
Combine like terms
b=95+(19)w
Let b = 220
220 = 95 + 19w
Subtract 95 from each side
220-95 = 19w
125 = 19w
Divide each side by 19
125/19 = w
6.578947368
Round up
After 7 week
Will Mark Brainlest Help pls
Answer:
Hello,
[tex]\begin{bmatrix}-2&2\\3&5\\\end{bmatrix}\\\\[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}3&1\\-2&-3\end{bmatrix}+\begin{bmatrix}1&0\\0&1\end{bmatrix}\\\\\\\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}2&3\\5&7\end{bmatrix}-\begin{bmatrix}4&1\\-2&-2\end{bmatrix}\\\\\\A=\begin{bmatrix}-2&2\\3&5\end{bmatrix}\\\\[/tex]
It's algebra I need help with 6-8/(-4) if you could please put the order of operations down to that would be so helpful.[tex]6-8/(-4)[/tex]
NO LINKS
Answer:
Step-by-step explanation:
Do the subtraction in the numerator first. 6 - 8 = -2. So now we have
[tex]\frac{-2}{-4}[/tex] negative divided by a negative is a positive and that fraction reduces to
[tex]\frac{1}{2}[/tex]
The volume of this cube is 2.744 cubic meters. What is the value of t?
Answer:
t = 1.4 meters
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
2.744 = t^3
Take the cube root of each side
(2.744) ^ 1/3 = t^3 ^ 1/3
1.4 = t
How many significant digits are there in the number 1.00250? OA) 7 OB) 6 OC) 5 OD) 4
Answer:
OB
Step-by-step explanation:
start counting from 1
Then your significant digit is 6
.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.
What is the constant of variation?
What is the equation representing the direct variation?
Answer:
The constant of variation is 1/9
The equation representing the direct variation is y/x= 1/9
Step-by-step explanation:
In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get
y/x = k
3 / 27 = k
(3/27) / (3/3) = 1/9* = k
Therefore, the constant of variation is 1/9
Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation
* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both
The constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation of direct variation is given by,
y = kx ....(i) where "k" is a constant.
Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.
Given that y varies directly with x, and x = 27, then y = 3.
Substitute the values of y = 3 and x = 27 in the direct variation equation and solve for k:
⇒ 3 = 27k
⇒ k = 3/27
⇒ k = 1/9
Substitute the values of k = 1/9 in the direct variation equation :
⇒ y = (1/9)x
Thus, the constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.
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6. Solve for x!! please help!
x/2 = -7
=> x = -7 × 2
=> x = -14
Answer:
x=-14
Step-by-step explanation:
[tex]\frac{x}{2} =-7\\\\x=-14\\[/tex]
Can someone find this for me please?
Answer:
the larger one is 183
Step-by-step explanation:
[tex]x + y = 262 \\ x - y = 104 \\ y = 262 - x \\ x - (262 - x) = 104 \\ x - 262 + x = 104 \\ 2x = 104 + 262 \\ 2x = 366 \\ x = 183 \\ y = 262 - 183 \\ y = 79[/tex]
please help me T-T.......
Hi
1) f(x)= 0.9 x
2) g(x) = x-100
3) f °g. is first apply g then f. so :
f°g = 0.9 ( x-100) = 0.9x-90
4) g°f. is first apply f then g
so g°f = (0.9x) -100 = 0.9x-100
I let you conclude which is the best deal :)
Can anyone help me with this?
8.6
Answer:
Solution given:
[tex]\bold{\sqrt{74}=8.60232526704≈8.6}[/tex]
Answer:
[tex]8.6[/tex]
Step-by-step explanation:
Step 1: Find the approximate value of [tex]\sqrt{74}[/tex]
[tex]\sqrt{74}[/tex]
[tex]\sqrt{74}[/tex] ≈ [tex]8.6[/tex]
Answer: [tex]8.6[/tex]
Find the value of -3x + 5,
if –3 + 4x = -19
Answer:
17
Step-by-step explanation:
Solve the equation for x then plug that into the 1st expression.
-3 + 4x = -19
4x = -19 + 3
4x = -16
x = -4
then
-3x + 5
-3(-4) + 5 = 12 + 5 = 17
PLEASE HELP ASAPP :(
Find the area of triangle ABC.
Answer Options:
A. 18.52 units²
B. 12.16 units²
C. 15.14 units²
D. 31.27 units²
Answer:
Option C, 15.14 units²
Step-by-step explanation:
area of the triangle,
6.82×5.04×sin(61.73)/2
= 15.1365001284..
= 15.14 units² (rounded to the nearest tenth)
The required area of the irregular triangle is 15.14 unit². Option C is correct.
Given that,
A figure of the triangle is shown,
Side AB = a =6.82
Side BC = b = 5.04
Angles, ∠A = 45.03°, ∠B = 61.73°.
The triangle is a geometric shape which includes 3 sides and the sum of the interior angle should not be greater than 180°.
Altitude is perpendicular bisector to the side of the triangle from the opposite vertex of the triangle.
The area of the given triangle can be given as,
Area = 1/2 * a * b sinB
= 1/2 * 6.82 * 5.04 * sin61.73°
= 1/2 * 6.82 * 5.04 * 0.88
= 15.14 unit²
Thus, the required area of the irregular triangle is 15.14 units². Option c is correct.
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Solve for x. Leave your answer in simplest radical form. *Giving brainliest*
Answer:
x= 10.630145
I hope it's helps you
Find the slope of the line that passes through (-26, 9) and (32, 71).
Answer:
[tex]Slope = \frac{31}{29}[/tex]
Step-by-step explanation:
Step 1: Define the slope formula
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Step 2: Find the slope
[tex]Slope = \frac{71-9}{32-(-26)}[/tex]
[tex]Slope = \frac{62}{58}[/tex]
[tex]Slope = \frac{31}{29}[/tex]
Answer: [tex]Slope = \frac{31}{29}[/tex]
