Answers
Answer:
trinomial = 5x
GCF = 2x(x + 5) + 5(x + 5)
Step-by-step explanation:
2x^2 + 15x + 25
using middle term break method
2x^2 + (10 + 5)x + 25
2x^2 + 10x + 5x + 25
therefore trinomial = 2x^2 + 10x + 5x + 25
GCF(Greatest Common Factor) = 2x^2 + 10x + 5x + 25
=2x(x + 5) + 5(x + 5)
take (x + 5 ) as common
(x + 5)(2x + 5)
(x + 5)(5 + 2x)since the sign of 5 and 2x is same i.e plus sign u can change their place.
Related Questions
In an office there was a small cash box.One day ann took half of the money plus$1 more.Then dan took half of the remaining money plus$1 more.Stan then took the remaining $11.How many dollars were originally in the box?
Answers
Answer:
this as a equation looks like this
-1/2x+1+x=11
1/2x=10
x=20
Hope This Helps!!!
20 dollars were originally in the box
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
In an office there was a small cash box.
One day ann took half of the money plus$1 more
Then dan took half of the remaining money plus$1 more
Stan then took the remaining $11
-1/2x+1+x=11
Subtract 1/2x from both sides
1/2x=10
Multiply 2 on both sides
x=20
Hence, 20 dollars were originally in the box
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ANSWER PLZ ILL GIVE BRAINLEST
Answers
Answer:
y is 4
Step-by-step explanation:
x is 3
y is 4 coordinate is (3,4)
Answer:
4
Step-by-step explanation:
4. If carbon was the most common element found in the moons and planets, what element is missing that would make them similar to Earth? Explain why. (Hint: Think about the carbon cycle.)
Answers
Oxygen
Step-by-step explanation:
That's what I think
Evaluate without a calculator:
CSC -120°
Answers
Answer:
- [tex]\frac{2\sqrt{3} }{3}[/tex]
Step-by-step explanation:
Using the identity and the exact value
csc x = [tex]\frac{1}{sinx}[/tex] and sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]
- 120° is in the third quadrant where sin < 0 , then
csc - 120° = - sin60° , then
csc - 120°
= [tex]\frac{1}{-sin60}[/tex]
= - [tex]\frac{1}{\frac{\sqrt{3} }{2} }[/tex]
= - [tex]\frac{2}{\sqrt{3} }[/tex] ( rationalise the denominator )
= - [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]
= - [tex]\frac{2\sqrt{3} }{3}[/tex]
The equivalent value of the trigonometric relation cosec ( -120 )° = 2√3/3
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
We know that the cosecant function is defined as the reciprocal of the sine function:
cosec (θ) = 1 / sin(θ)
Therefore, to evaluate cosec(-120°), we first need to find sin(-120°).
We know that sine is an odd function, which means that sin(-θ) = -sin(θ). Therefore,
sin(-120°) = -sin(120°)
We can now use the fact that the sine function has a period of 360 degrees, which means that sin(120°) is the same as sin(120° - 360°) = sin(-240°).
Using the same logic as before, we get:
sin(-240°) = -sin(240°)
Now , from the trigonometric relations , we get
Now, we can use the fact that sin(240°) = sin(240° - 360°) = sin(-120°), which means that:
sin(-240°) = -sin(-120°)
Therefore, we have:
sin(-120°) = -sin(120°) = -sin(-240°) = sin(240°)
Now, we can use the unit circle or trigonometric identities to find sin(240°). One way to do this is to draw a 30-60-90 degree triangle in the third quadrant of the unit circle, with the angle of 240° as the reference angle:
In this triangle, the opposite side (O) has a length of √3, the adjacent side (A) has a length of -1, and the hypotenuse (H) has a length of 2.
Therefore, sin(240°) = O/H = (√3)/2.
Finally, we can use the definition of the cosecant function to find cosec(-120°):
cosec(-120°) = 1/sin(-120°) = 1/sin(240°) = 1/((√3)/2) = 2/√3 = (2√3)/3.
Hence , cosec(-120°) is equal to (2√3)/3.
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which line has an undefined slope??
Answers
Answer:
A
Step-by-step explanation:
A vertical line has an undefined slope
Line A is a vertical line
A group of friends wants to go to the amusement park. They have $214.25 to spend on parking and admission. Parking is $6.75, and tickets cost $20.75 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
Answers
Answer:
10 friends can go to the amusement park
Step-by-step explanation:
214.25 = 6.75 + 20.75x
207.50 = 20.75x
x = 10 friends can go
the first three terms of a series of which the nth term is 2n+1.
Answers
Answer:
3, 5, 7
Step-by-step explanation:
Substitute n = 1, 2, 3 into the nth term rule
a₁ = 2(1) + 1 = 2 + 1 = 3
a₂ = 2(2) + 1 = 4 + 1 = 5
a₃ = 2(3) + 1 = 6 + 1 = 7
Answer:
3, 5, 7
Step-by-step explanation:
n = 1, 2, 3 into the nth term rule
a₁ = 2(1)+1=2+1=3
a2=2(2)+1=4+1=5
a3 = 2(3)+1=6+1=7
Chloe baked 6 brownies with nuts on top and 9 brownies without nuts. What is the ratio of the number of brownies without nuts to the total number of brownies?
Answers
Answer:
6:9 ÷3
2:3
Step-by-step explanation:
1st write the ratio then simplify it with dividing with the Highest common factor on both sides
Given P(A) = 0.36, P(B) = 0.2 and P(ANB) = 0.122, find the value of P(AUB), rounding to the nearest thousandth, if necessary.
Answers
Answer:
The value of P(AUB) = 0.438
Step-by-step explanation:
Given:
P(A) = 0.36
P(B) = 0.2
P(A∩B) = 0.122
Find:
The value of P(AUB)
Computation:
P(AUB) = P(A) + P(B) - P(A∩B)
The value of P(AUB) = 0.36 + 0.2 - 0.122
The value of P(AUB) = 0.56 - 0.122
The value of P(AUB) = 0.438
Let f(x) = 4x - 5 and g(x) = 3x + 7. Find f(x) + g(x) and state its domain.
7x - 12; all real numbers
7x + 2; all real numbers
x + 2; all real numbers
X - 12; all real numbers
Answers
Answer:
2nd option
Step-by-step explanation:
f(x) + g(x)
= 4x - 5 + 3x + 7 ← collect like terms
= 7x + 2
domain is all real numbers
Help me with the diagram please!!!
Answers
Answer:
(B) 30
Step-by-step explanation:
Imagine you drew a line from Point T until it touched Line PR. Let's call that point where it touched Line PR "Point Z".
That line (called Line TZ) would be perpendicular to PR, forming a 90 degree angle.
Now, TZW is a triangle.
To find x, we need to find the angle measurment of Angle ZTW.
This is where we use the hexagon.
A hexagon's interior angle sum is 720, meaning each interior angle is equal to 120 degrees. So Angle UTS would equal 120 degrees.
However, Line TZ bisects that 120 degree angle, so Angle ZTW would equal 60 degrees (because 120/2 = 60).
Now we have two angles of the triangle: 90 & 60.
A triangle's interior angle sum is 180.
Add 90 & 60, which is 150, and subtract 150 from 180.
The result is 30, which is the angle measurement of x.
Hope it helps (●'◡'●)
We are given that angle ABC and are congruent, and that angle GHI and angle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .
Answers
Answer:
By the Substitution property, the measure of angle ABC is equal to GHI.
Step-by-step explanation:
According to the Question,
Since we have,
Angle ABC and angle DEF are congruent ⇒ ∠ABC = ∠DEF-------(1 ) Similarly,angle GHI and angle DEF are congruent ⇒ ∠GHI = ∠DEF------(2)On substituting the value of from equation (1) to equation (2)
We get, ∠ABC = ∠GHI ∴ ∠ABC ≅ ∠GHI
Thus, By the Substitution property
The measure of angle ABC is equal to angle GHI.
PLEASE HURRY Aline has a slope of -1/2 and a y-intercept of -2. What is the x-intercept of the line?
Answers
Answer:
x- intercept = - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{2}[/tex] and c = - 2 , then
y = - [tex]\frac{1}{2}[/tex] x - 2 ← equation of line
To find the x- intercept let y = 0
0 = - [tex]\frac{1}{2}[/tex] x - 2 ( add 2 to both sides )
2 = - [tex]\frac{1}{2}[/tex] x ( multiply both sides by - 2 to clear the fraction )
- 4 = x
The x- intercept is - 4
Whose solution strategy would work?
Answers
Answer:
1452628383763637£838
Answer:
B
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!
Describe the graph of a function g by observing the graph of the base function ƒ.
g(x) = ƒ(x + 5) + 3
g(x) = ƒ(x + 3) + 5
g(x) = 2ƒ(x + 3)
g(x) = ƒ(x – 3) – 5
Answers
Answer:
g(x)=f(x+3)+5
Step-by-step explanation:
What is the variable expression for 6 less than the difference of 5 and a number? * 3 points 6 - 5 - n 6 - n - 5 (5 - n) -6 6 - (5 - n)
Answers
Given:
The given statement is "6 less than the difference of 5 and a number".
To find:
The variable expression for the given statement.
Solution:
Let n be the unknown number or the variable.
We know that minus sign is used to represent the difference between two numbers.
Difference of 5 and a number is [tex](5-n)[/tex].
6 less than the difference of 5 and a number is [tex](5-n)-6[/tex].
The required expression for the given statement is [tex](5-n)-6[/tex].
Therefore, the correct option is C.
Maths assignment
9p^2-16q^2
Answers
Answer:
[tex]9p^2-16q^2[/tex]
[tex](3p)^{2} -(4p)^{2}[/tex]
[tex]\underline{x^2-y^2=\left(x+y\right)\left(x-y\right)}[/tex]
[tex]\left(3p\right)^2-\left(4q\right)^2=\left(3p+4q\right)\left(3p-4q\right)[/tex]
[tex]=\left(3p+4q\right)\left(3p-4q\right)[/tex]
------------------------
hope it helps....
have a great day!!
Find the area of the region between the curve x^3+2x^2-3x and the x-axis over the interval [-3,1]
Answers
Answer:
[tex]\displaystyle A = \frac{32}{3}[/tex]
General Formulas and Concepts:
Calculus
Integrals
Definite IntegralsArea under the curveIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
Curve: x³ + 2x² - 3x
Interval: [-3, 1]
Step 2: Find Area
Set up: [tex]\displaystyle A = \int\limits^1_{-3} {(x^3 + 2x^2 - 3x)} \, dx[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle A = \int\limits^1_{-3} {x^3} \, dx + \int\limits^1_{-3} {2x^2} \, dx - \int\limits^1_{-3} {3x} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = \int\limits^1_{-3} {x^3} \, dx + 2\int\limits^1_{-3} {x^2} \, dx - 3\int\limits^1_{-3} {x} \, dx[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = (\frac{x^4}{4}) \bigg| \limits^1_{-3} + 2(\frac{x^3}{3}) \bigg| \limits^1_{-3} - 3(\frac{x^2}{2}) \bigg| \limits^1_{-3}[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle A = -20 + 2(\frac{28}{3}) - 3(-4)[/tex]Evaluate: [tex]\displaystyle A = \frac{32}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
y=x+2 y=-x +8 What is the solution for this system of equations?
Answers
Answer:
x = 3 y = 5
Step-by-step explanation:
y=x+2
+ y=-x +8
2y = 10
y = 5
y = -x + 8
5 = -x + 8
x = 3
I have a lot of algebra problems. Someone help me even with this one please!
Answers
Answer:
60
Step-by-step explanation:
Subsitute the number if large vehicles
5x + 10(50) = 800
5x + 500 = 800
5x =300
X =60
Answer:
60
Step-by-step explanation:
Substitute y = 50 into the equation and solve for x
5x + 10(50) = 800 , that is
5x + 500 = 800 ( subtract 500 from both sides )
5x = 300 ( divide both sides by 5 )
x = 60
That is 60 small vehicles were washed in total
In the diagram, ABC is an equilateral triangle, BCFG is a square and CDEF is a rectangle. The perimeter of the whole diagram is 65cm, find the length of GE
Answers
Answer:
22 cm
Step-by-step explanation:
the perimeter = AB+BG+GF+FE+ED+DC+CA
= 65 cm
7+7+7+FE+7+DC+7=65 => FE = CD
35+ 2FE = 65
2FE = 65-35
= 30
FE = 30/2 = 15
so, GE = GF + FE
= 7+15 = 22 cm
plz help ASAP with explanation
Answers
Answer:
Kindly check attached picture
Step-by-step explanation:
Based d on the instruction given.
1.)
-3 * 6 = 18
6 * - 2 = - 12
-3 * - 2 = 6
2.)
We use logical reasoning to find 2 numbers whichbwhen multiplied gives the number in the box in between :
The answers are given in the picture attached.
Describing the Vertical Line Test
Explain what the vertical line test is and how it is used.
Answers
Answer:
Vertical line test is used to identify that the given graph is function or not
In this a vertical line is drawn at any part of the graph
If it cuts only one line then it is a function and it cuts more than one line then it is not a function
Answer:
The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.
Step-by-step explanation:
[tex]factorise \: \\ \\ r {}^{2} - 10r + 21[/tex]
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (r - 7)(r - 3) }}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex] {r}^{2} - 10r + 21[/tex]
[tex] = {r}^{2} - 7r - 3r + 21[/tex]
Taking [tex]r[/tex] as common from first two terms and [tex]3[/tex] from last two terms, we have
[tex] = r(r - 7) - 3(r - 7)[/tex]
Taking the factor [tex](x-7)[/tex] as common,
[tex] = (r - 7)(r - 3)[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Step-by-step explanation:
Your Answer with
Explanation is given in the attachment
Hope it is helpful to you
✌️✌️✌️✌️✌️✌️✌️
What is the total value of digit 7 in the number 32.8794
Answers
What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y?
5xy
15x3y
45x3y5
75x5y7
Answers
Answer:
15x3y.
Step-by-step explanation:
.
Hi!
The greatest common factor of 60x⁴y⁷, 45x⁵y⁵ and 75x³y is 15x³y
In ΔVWX, the measure of ∠X=90°, XW = 20, WV = 29, and VX = 21. What ratio represents the cosine of ∠W?
Answers
That would be the answer
Help me please PLEAASEEEE
Answers
First subtract 1 from 13.6 km to get 12.6 km
Then do 12.6/1.8 which equals 7 seconds
A garden store pays $85 for a planter. The percent of markup is 35%. What is the selling price of the planter
Answers
Answer:
Step-by-step explanation:
To get the selling price.
Selling price=100÷ 100-x × 85
Where x is the markup.
Sp= 100 ÷ 100-35× 85
Sp= 100÷ 65×85
Sp= $130.7692
7z+15+27, z, plus, 15, plus, 2
Answers
Answer:
[tex]7z + 15 + 27 \\ 7z + 42 \\ z = 42 \div 7 \\ z = 6[/tex]
