[tex]n^2 +6n-27 = n^2+6n-27+0\\~\\n^2+6n-27+0 = n^2+6n-27+(3n-3n) \\~\\n^2+6n-27+(3n-3n) = n^2+9n-3n-27\\~\\n^2+9n-3n-27 = n\cdot(n+9)-3\cdot(n+9) \\~\\n\cdot(n+9)-3\cdot(n+9) = (n+9)(n-3)[/tex]
The other side is n-3
In the equation y = 3x – 1, what is the value of y when x equals –3?
A. 10
B. 8
C. –1
D. –10
Answer:
D. –10
Step-by-step explanation:
Given equation:
y = 3x – 1
what is the value of y when x equals –3?
Substitute x = -3 into the equation to find y
y = 3x – 1
= 3(-3) - 1
= -9 - 1
= -10
y = -10
The correct answer is D. –10
Answer:
D).
Step-by-step explanation:
I took the test.
10.
Which explanation provides the best real-world scenario of the graph?
A. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 – 38 gives the height of the object after t seconds.
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
C. If an object is dropped from a height of –16 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Answer:
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Step-by-step explanation:
The equation that models the movement of the object is:
Where,
t: time
a: acceleration due to gravity
v0: initial speed
h0: initial height
Suppose that the object falls with zero initial velocity and from a height of 38 feet.
The equation that models the problem is:
Answer:
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Step-by-step explanation:
ILL MARK BRAINLIEST 15 PTS!!! HURRY
If the function rule is to multiply by 4, and there is an output value of 8, what is the input value?
16
02
08
O 32
Answer:
02
Step-by-step explanation:
Answer:
Input Value = 02
Step-by-step explanation:
2 multiplied by 4 is 8.
You could also divide 8 by 4 to get 2 to check your work.
There is a square field of side 45m. There is a well in this field of area of 5 sq. Metre. In the remaining part, we plant coconut trees at the rate of one plant per sq.Metre . How many trees can be planted in the field? If the cost of planting one tree is Rs. 75. What is the total cost of planting the trees?
Answer:
Numbner of plant in field = 2,020
Cost of planting trees = R.s 151,500
Step-by-step explanation:
GIven:
Side of square field = 45 m
Area of well = 5 square meter
1 plant = 1 squre meter
Cost per tree = R.s 75
Find:
Numbner of plant in field
Cost of planting trees
Computtaion:
Area of planting trees = Area of filed - Area of well
Area of planting trees = [45 x 45] - 5
Area of planting trees = 2,025 - 5
Area of planting trees = 2,020 squre field
Numbner of plant in field = Area of planting trees / 1 squre meter
Numbner of plant in field = 2,020
Cost of planting trees = 75 x Numbner of plant in field
Cost of planting trees = 75 x 2,020
Cost of planting trees = R.s 151,500
Heather save 15% buying concert tickets online. If the tickets are regularly $95 how much did Heather pay for them online
Answer:
$80.75
Step-by-step explanation:
95 * 0.15 = 14.25
95 - 14.25 = 80.75
hope this is helpful
how much would you need to pay?
Answer:
a
Step-by-step explanation:
Which expression is equivalent to 4 (3x – 2)?
O A. 7x-2
O B. 7x + 2
O C. 12x - 2
O D. 12x - 6
O E 12x– 8
Answer:
E is the answer
hope this helps
have a good day :)
Step-by-step explanation:
the coefficient in the term 7xy is
Answer:
The coefficient is 7
Step-by-step explanation:
The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.
what is the sum of 2/3+ 1/5 ?
Answer:
13/15
Step-by-step explanation:
Answer:
[tex] \frac{13}{15} [/tex]Step-by-step explanation:
HOPE IT HELPS MUCH
WHich of the following has the steepest slope?
a. y = -4x + 1
b. y = 2x + 3
c. y = x+6
d. y = -3x - 4
Answer: Choice A)
y = -4x+1
=======================================
Explanation:
The general format of a linear equation can be written as y = mx+b
m = slope
b = y intercept
The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.
Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.
find the missing side
Answer:
x = 27.6907 units
Step-by-step explanation:
cos (62) = 13/x
x cos (62) =13
13 / cos(62)=x
x is 27.6907 units
A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times.
What is the experimental probability of the arrow stopping over Section 1?
128
720
713
45
Section 1 Section 2 Section 3
28 36 16
Answer:
7/20Step-by-step explanation:
Frequency of Section 1 is 28 and total number of frequencies is 80.
P(Section 1) = 28/80 = 7/20Answer:
the frst person id wight!
Step-by-step explanation:
Where do the parabola defined by y=-22 + 4x + 1 and the line defined by y=-x+ 5 intersect? O (4,1) and (-1,6) O (-4,9) and (-1,6) (-4, 9) and (-1,-6) O (4,1) and (1, 4)
Answer:
(4,1);(1,4)
Step-by-step explanation:
The point on the parabolic equation y = -x² + 4x + 1 and line y = -x + 5 intersect is P ( 4 , 1 ) and Q ( 6 , -1)
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the parabolic equation be y = -x² + 4x + 1
Let the equation of line be y = -x + 5
Now , To find the points of intersection between the parabola y = -x² + 4x + 1 and the line y = -x + 5, we need to set the two equations equal to each other and solve for x and y simultaneously.
Setting y = -x² + 4x + 1 equal to y = -x + 5, we get:
-x² + 4x + 1 = -x + 5
Rearranging the equation, we get a quadratic equation in standard form:
-x² + 4x + x - 1 - 5 = 0
-x² + 5x - 6 = 0
Factoring the quadratic equation, we get:
-(x - 1)(x - 6) = 0
Setting each factor equal to zero and solving for x, we get two potential values for x:
x - 1 = 0 or x - 6 = 0
x = 1 or x = 6
Now, substituting the values of x back into the equation y = -x + 5 to find the corresponding y-values, we get:
For x = 1:
y = -1 + 5
y = 4
So, one point of intersection is (1, 4)
For x = 6:
y = -6 + 5
y = -1
So, the other point of intersection is (6, -1).
Hence , the point of intersection is P ( 4 , 1 ) and Q ( 6 , -1)
To learn more about parabola click :
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Given f(x) = x^2 + 2 and g(x) = 2 – x, find a simplified expression for f(2x) + g(3x).
Answer:
f(2)+g(3) = 5
Step-by-step explanation:
Given that,
f(x) = x² + 2
g(x) = 2-x
We need to find the value of f(2)+g(3).
f(2) = 2² + 2 = 6
g(3) = 2 – 3 = -1
So,
f(2)+g(3) = 6+(-1)
= 5
Hence, the value of the given expression is 5.
The function g(x) is described in the table below what is g(0)+g(4)?
Let's take a look at our table here in order to solve the problem. We need to know what g(0) and g(4) are to be able to solve.
Since we are plugging in x-values and looking for y-values, we simply need to find 0 and 4 on the left side of the table (the x side), and then find their corresponding g(x), or y, values.
g(0) = -5
g(4) = -4
Now, all that's left to do is add these two values.
-5 + -4
-9
Hope this helps!! :)
Answer:
- 9
Step-by-step explanation:
g(0) = - 5 ← value of g(x) when x = 0
g(4) = - 4 ← value of g(x) when x = 4
Then
g(0) + g(4) = - 5 + (- 4) = - 5 - 4 = - 9
PLEASE HELP! Pick one answer.
Answer:
c
Step-by-step explanation:
Answer:
C
1 or more includes from the 1st quartile to the rest of the graph, so it is 75%
What is the measure of o?
4 cm
e
12 cm
O A. 4 radians
O B. 3s radians
O c. 3 radians
O D. 4radians
plss helppp
==============================================
Work Shown:
L = arc length = 12 cmtheta = angle in radians = unknownr = radius = 4 cmL = theta*r
12 = theta*4
12/4 = theta
3 = theta
theta = 3 radians, choice C is the answer.
--------
Side note: The formula L = theta*r only works if theta is in radians.
If theta is in degrees, then use L = (theta/360)*2pi*r. So you can see that radian mode is much easier in this case.
what will the remainder over the divisor?
Please help I'll love you forever pleasdeeee
Answer:
[tex]30[/tex]; Obtuse, isosceles triangle OR "[tex]B[/tex]"
Step-by-step explanation:
If you replace the [tex]z^o[/tex] variable with [tex]30^o[/tex] on both angles.
The angles will be:
[tex]30^o[/tex]
[tex]120^o[/tex] ([tex]4(30)=120^o[/tex])
[tex]30^o[/tex]
This angle is isosceles (two sides are equal). It is obtuse (there is one angle that is greater than [tex]90^o[/tex]).
Help, please!!!
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down.
The probability of picking a card with an even number is ___
.
Answer:
the top is right 2/5
Step-by-step explanation:
The probability is 3 / 10.
What is Probability?The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.
Given:
7, 11, 12, 13, 14, 18, 21, 23, 27, and 29
So,
even numbers are = 12, 14, 18.
The probability of picking a card = 3 / 10
Learn more about probability here:
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PLS HELP ILL GIVE BRAINLIST AND FOLLOW U
Answer:
61.2
Step-by-step explanation:
base=6
height=10
Area of parellelogram=base x height
=6x 10.2
=61.2 sq.ft
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
Find the equation of the circle whose center and radius are given.
center ( 7, -3), radius = 7
Answer:
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
Answer;
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
-(-8n+3.9)
I need to write an equivalent expression y distributing the “—“ sign outside the parentheses I need help please
Answer:
8n - 3.9
Step-by-step explanation:
Given
- (- 8n + 3.9 ) ← multiply each term in the parenthesis by - 1
= 8n - 3.9
Given triangle XYZ:
Angle X = 90°
Angle Y = 45°
Angle Z=
Answer:
Hello! answer: 45
Step-by-step explanation:
90 + 45 + 45 = 180 therefore z = 45 hope that helps!
Hi there!
»»————- ★ ————-««
I believe your answer is:
45°
»»————- ★ ————-««
Here’s why:
The three interior angles of a triangle will always have a sum of 180°.⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Missing Angle:}}\\\\\rightarrow90 + 45 + x = 180\\\\\rightarrow 135 + x = 180\\\\\rightarrow 135-135 + x = 180 - 135\\\\\rightarrow \boxed{x = 45}\\\\\text{Therefore:}\\\\\measuredangle Z = 45$^{\circ}$[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
help help help help need to pass this
Answer:
0.25
Step-by-step explanation:
t/4+16=17
t=(17-16)/4
=0.25
Find the missing length of the triangle. 3.4 and 3.0
Answer:
4
Step-by-step explanation:
3 + 3.4 = 6.4
which is greater than 4
the sum of the 2 smallest sides have to be greater than the largest side
Put the differential equation 9ty+ety′=yt2+81 into the form y′+p(t)y=g(t) and find p(t) and g(t). p(t)= help (formulas) g(t)= help (formulas) Is the differential equation 9ty+ety′=yt2+81 linear and homogeneous, linear and nonhomogeneous, or nonlinear?
Answer:
[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]
g(t) = 0
And
The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is linear and homogeneous
Step-by-step explanation:
Given that,
The differential equation is -
[tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex]
[tex]e^{t}y' + (9t - \frac{1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t(t^{2} + 81 ) - 1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t^{3} + 729t - 1}{t^{2} + 81 } )y = 0\\y' + [\frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) } ]y = 0[/tex]
By comparing with y′+p(t)y=g(t), we get
[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]
g(t) = 0
And
The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is linear and homogeneous.
There are 54 benches and 6 picnic tables in a park. What is the ratio
of the number of picnic tables to the number of benches in its
simplest form??????????????????????????????/
Answer:
1 picnic table : 9 benches
Step-by-step explanation:
You just simplify the equation down to its simplest form, so since they both have the gcf of 6, you divided both sides by 6, which results in the answer above.
What is the length of QR?
Answer:
B
Step-by-step explanation:
Which equation should you solve to find x?
Answer:
C
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos24° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → C
Note
sin24° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{10}[/tex] ( which does not include x )
tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{x}[/tex] ≠ [tex]\frac{x}{4}[/tex]