How many x-intercepts would the function shown below have?
f(x) = 4(4x + 3)(x + 1)² (x^2– 3)
Answer:
Answer:
4Step-by-step explanation:
Given the function
f(x) = 4(4x + 3)(x + 1)² (x^2– 3)
The x-intercept occurs at a point where f(x) = 0
f(x) = 4(4x + 3)(x + 1)² (x^2– 3)
4(4x + 3)(x + 1)² (x^2– 3) = 0
4x+3 = 0
4x = -3
x = -3/4
(x + 1)² = 0
x + 1 = 0
x = 0-1
x = -1
x^2-3 = 0
x^2 = 0+3
x^2 = 3
x = ±√3
hence the x intercepts are -3/4, -1, √3 and -√3. This shows that there are 4 x intercepts
Find the area of the shaded segment of the circle
Answer:
≈ 0.8 m²
Step-by-step explanation:
________________________________________________
FORMULA FOR FINDING AREA OF SEGMENT :-
[tex]A = r^{2} [\frac{\alpha }{360} \times \pi - (\sin \frac{\alpha }{2} \times \cos \frac{\alpha }{2} )][/tex]
Where :-
A = Area of the segmentr = Radius of the circleα (alpha) = Angle subtended by arc at the center________________________________________________
Angle subtended by the minor arc at the center = 360° - 300° = 60°
Radius of the circle = 3 m
Area of the segment =
[tex]3^{2} [ \frac{60}{360} \times \pi - (\sin \frac{60}{2} \times \cos \frac{60}{2})][/tex]
[tex]= 9[\frac{1}{6} \times \pi - (\sin 30 \times \cos 30)][/tex]
[tex]= 9[\frac{\pi }{6} - (\frac{1}{2} \times \frac{\sqrt{3} }{2} )][/tex]
[tex]= 9[\frac{\pi }{6} - \frac{\sqrt{3} }{4} ][/tex]
[tex]= 9[\frac{2\pi - 3\sqrt{3} }{12} ][/tex]
[tex]= \frac{9}{12} \times (2\pi - 3\sqrt{3})[/tex]
( Assuming √3 = 1.73 & π = 3.14 )
[tex]= \frac{3}{4} \times (6.28 - 5.19)[/tex]
[tex]= 0.75 \times 1.09[/tex]
[tex]= 0.8175[/tex]
∴ Area of the segment ≈ 0.8 m² (rounding to the nearest tenth)
Select all of the expressions equivalent to 2(x + 9y) + 3(2x - 6y).
Answer:
8x
Step-by-step explanation:
=2(x+9y)+3(2x-6y)
=2x+18y+6x-18y
=2x+6x-0y
=8x
Robert says that the slope of a line passing through (1,7) and (3,9) is equal to the ratio 1-3/7-9 is this correct
Pa help po plss...
sa math po
Answer:
ok OK OK OK OK OK OK OK OK OK OK OK
Find the equation of the line that has a y-intercept of 1 and is perpendicular to the graph of the line 2x + y = 4.
Answer:
y = 1/2x + 1
Step-by-step explanation:
To be perpendicular to a line is to have the product of the slopes be -1. First, we have to put 2x + y = 4 into slope-intercept form to find the slope of the line. We do this by subtracting 2x on both sides to get that y = -2x + 4. Now, the number that multiplied by -2 is equal to -1 is 1/2, so that is the slope of our line. We can substitute these values into the slope-point equation to find the equation. We would get that y - 1 = 1/2 * (x - 0). This simplifies to y = 1/2x + 1.
what is the factored form of 4(3x + 12) + 4?
Answer:
12x + 52
Step-by-step explanation:
Distribute.
(4 • 3x + 4 • 12) + 4
12x + 48 + 4
12x + 52
Someone plz help me I will give brainliest
3) 0
5) 4 Minutes
4) 92,188,000
Step-by-step explanation:Question 3:
All numbers multiplied by 0 will always be 0.
So, a(110) × 0 = 0
-----------------------------------------------------------------------------------
Question 5:
100 ÷ 2 = 50 (#of times ÷ # of times)
50 × 5 = 250 (# of times × # of seconds)
250 ÷ 60 = 4.1 (#of total seconds ÷ seconds in a minute)
4.1 Rounded to the nearest tenth is 4.
Final Answer: 4-----------------------------------------------------------------------------------
Hope this Helps!:)
I need help with this, anyone nice enough to help? :’)
Answer:
7m³ - 11m² + 5m + 17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3m³ - 4m² + 8 - (-4m³ + 7m² - 5m - 9)
Step 2: Simplify
[Distributive Property] Distribute negative: 3m³ - 4m² + 8 + 4m³ - 7m² + 5m + 9Combine like terms (m³): 7m³ - 4m² + 8 - 7m² + 5m + 9Combine like terms (m²): 7m³ - 11m² + 8 + 5m + 9Combine like terms (Z): 7m³ - 11m² + 5m + 17a triangle has two angles that measure 18.6 degrees and 113.4 degrees respectively. what is the measure of the third angle?
ill give brainiest
Answer:
[tex]x = 48[/tex]
Step-by-step explanation:
[tex]18.6 + 113.4 + x = 180[/tex]
[tex]132 + x = 180[/tex]
[tex]x = 180 - 132 [/tex]
[tex]x = 48[/tex]
8n + ? = 0
A.) - 8/n
B.) 8/n
C.) 1/8n
D.)-8n
D is the correct answer:)
solve by substitution
1. 6x+ 5y=7 x-y=3
2. 3a +2b =4 2a + b=6
3. 2x + y= 4 4x -y=2
Answer:
1. y = 11
x = -48
2. a =8
b= -10
3. x= 1
y= 2
Step-by-step explanation:
1 . 6x + 5y = 7
x-y= 3
6x+5y = 7
6x-6y =18
-1y = - 11
6x + 5y = 7
y = 11
6x + 55 = 7
6x = -48
x = -48
what is the least common multiple (LCM) of 7 and 8 plz help
Answer:
56
Step-by-step explanation:
trust me!!
Answer:
The LCM of 7 and 8 is 56
Step-by-step explanation:
1 geometry question , multiple choice HELPPP??!!
=====================================================
Work Shown:
You'll need to use a trig ratio. Specifically, we'll be using cosine here
cos(angle) = adjacent/hypotenuse
cos(x) = 13/20
cos(x) = 0.65
x = arccos(0.65)
x = 49.4583981264954 which is approximate
x = 49
The missing angle is approximately 49 degrees
Make sure your calculator is in degree mode. The notation arccos refers to arccosine and it's the same as inverse sine.
And again... drop the answer or i'll drop ur ip :)
Answer:
IPS!!!! I am supposed to be OFF my COMPUTER by now!!!!
But, since you are one of my favorites.... I will do this one last thing for you this evening!
You're welcome!
You are doing a fantastic job in your courses by the way! I'm proud of you!
Step-by-step explanation:
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $35 each week for food, clothes and movie tickets. How many weeks can Keith withdraw money from his account?
Find the height of the trapezoid. A trapezoid. The base lengths are 10 meters and 6 meters. The area is 40 square meters.
Answer:
5 meters
Step-by-step explanation:
A=a+b/2*h
40=10+6/2*h
40=8h
h=5
Answer:
Step-by-step explanation:
36
The sum of two numbers is 47. twice the first number and three times the second number have a sum of 100. Set up a system of equations to find the numbers
Answer:
23
Step-by-step explanation:
x + y = 47
2x + 3y = 100
Solving steps
x + y = 47 (-2)
2x + 3y = 100
We multiply the first equation by -2. This is so that x changes to -2x (So it would match the x below). We can then cross it over, since the equation below has 2x and -2x + 2x = 0.
-2x - 2y = -94
2x + 3y = 100
Y = 6
We get y = 6 by subtracting -2y (From the above equation) from 3y. This gives us Y. Afterwards, We subtract -94 (From the above equation) from 100 and that gives us 6. Therefore, y = 6.
To get x. We sub in the value for y into one of the equations and solve.
2x + 3(6) = 100
2x + 18 = 100
We bring over 18 from one side to the other, to get x alone. We have to change 18 to - 18 because it crosses over to the other side.
2x = 100 - 18
2x = 72
x = 72÷2
x = 36.
X = 36
Y = 6
(36, 6)
I need help on this question
Answer:
The square on the outside of the triangles means the angle is 90. You need to find the base and the hight the divide by 2
Step-by-step explanation:
simplify the expression. 7x^2+3-5(x^2-4) edguneity
Answer:
2x^2+23.
Step-by-step explanation:
Combine like terms.
This expression simplified is 2x^2+23.
decide whether -3/12 terminates or repeats when expressed as a decimal
Answer:
Termintates
Step-by-step explanation:
It simplified is -.25, which, is a terminated decimal and does not repeat and go on
Answer:
Terminates
Step-by-step explanation:
first the signs don't matter, just remember to put it back at the end
try dividing it:
3 / 12 = 0 with 30 tenths left over
30 / 12 = 2 with 60 hundreths left over
60 / 12 = 5 with 0 thousandths left over
no more remainders so it terminates
WILL MARK BRAINLIEST! Which statement is true about the data set?
The stem-and-leaf plot below shows the number of pages each student in a class read the previous evening. (see attached)
Which statement is true about the data set?
A) Its median is greater than its mode.
B) It has a range of 52 pages.
C) The value of the first quartile is 13.
D) The data is symmetric.
Answer:
A I think
Step-by-step explanation:
he airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which inequality can be used to determine how many more people can board?
96 + x Less-than-or-equal-to 149
96 + x Greater-than-or-equal-to 149
96 + x > 149
96 + x < 149
This is the same as saying "96 + x less than or equal to 149"
====================================================
Explanation:
We start with 96 people already on board. We add on x more people. The x is a placeholder for a positive whole number.
In total, we have 96+x people on the plane. This total must not exceed the max capacity of 149. In other words, the largest value of 96+x is 149.
Since 96+x can be 149 or smaller, we can say 96+x ≤ 149
Answer:
The answer is A
Step-by-step explanation:
I got it right on edge
marianne is a five years younger than her friends if the sum of their age is 61 how old is her friend
Step-by-step explanation:
let marianne friend age be x and
marianne age be x - 5
if the sum of their age is 61 I.e
x + (x- 5) = 61
x + x - 5 = 61
2x =61 +5
2x = 66
divide both sides by 2
x = 33
so marianne friend age is 33 and
and marrianne age is 33-5 = 28.
y= 2/3x+7
x= -4
PLS HELP ASAP
Answer:
the slope will be
−
2
3
and the
y
-intercept will be
7
.
Step-by-step explanation:
If b=10, evaluate 40/b A. b=10 B. b=30 C. b=2 D. b=4
Answer:
d
Step-by-step explanation:
substitute b for 10. you get 40/10. Now simplify it down. 20/5, which simplifies again to 4/1. 4 divided by 1 equals 4, which makes d true. hope this helps
5/x=-9
find the variable
Answer:
x = -5/9
Step-by-step explanation:
5/x = -9
multiply by x on both sides
5 = -9/x
multiply by 1/-9 on both sides
-1/9*5 = -1/9 *-9/x
-5/9 = x
The number of different types of drinks that a barista makes in one week is related to the cost of the drink. A collection of data on the cost of
a particular drink and the number of that drink made over the course of the week is shown in the table below, where x represents the cost of
the drink in dollars, and y represents the number of drinks made at each cost.
X
у
97
84
1.85
2.10
2.45
3.25
66
70
3.50
65
58
3.65
4.15
51
4.45
40
44
4.70
5.10
27
Using a residual plot determine if the following model is a good fit for the data.
y = -11.52 + 120.45
ОА No. The model is not a good fit because the residual plot has a random pattern,
ОВ. No. The model is not a good fit because the residual plot does not have a random pattern
OcYes. The model is a good fit because the residual plot has a random pattern.
OD Yes. The model is a good fit because the residual plot does not have a random pattern.
Reset
Next
Answer:
Step-by-step explanation:
b
Answer:
it's C bro i just took it
Solve each system by graphing y = -3x - 4,y = 1/2 x + 3
Answer:
answer is x=-2, y=2
Step-by-step explanation:
y=-3x-4,
y=1/2x+3
now plug in any points for x for both equations. I will plug in both x as 0.
y=-3(0)-4
y=-4
(0,-4)
y=1/2(0)+3
y=3
(0,3)
We have points now to plot on a graph.
Continue what I did. Maybe plug in 1 for x for both equations.
Hope this helps!
Answer:
x= [tex]\frac{-8y -6}{7}[/tex]
Step-by-step explanation:
Step 1: Add (-1)/2x to both sides.
−3x − 4y + [tex]\frac{-1}{2}[/tex] x = [tex]\frac{1}{2}[/tex] x + [tex]\frac{-1 }{2}[/tex] x
Step 2: Add 4y to both sides.
[tex]\frac{-7}{2}[/tex] x - 4y + 4y = 3 + 4y
[tex]\frac{-7}{2}[/tex] x = 4y + 3
Step 3: Divide both sides by (-7)/2.
[tex]\frac{-7 }{2}[/tex] x
= 4y+3
[tex]\frac{-7}{2}[/tex] [tex]\frac{-7}{2}[/tex]
3 Each expression below shows the length and width of
a rectangle in yards. Write each expression in the
correct box according to the area it represents.
Answer:
less than 1yd²:
2/3x3/5= 2/5
1/4x5/3= 5/12
1/2x9/10= 9/20
equal to 1yd²
1/4x4/1= 1
4/3x6/8= 1
more than 1yd²
2/3x5/3= 1.1
Step-by-step explanation:
2/3x3/5= 2/5
1/4x4/1= 1
2/3x5/3= 1.1
1/4x5/3= 5/12
1/2x9/10= 9/20
4/3x6/8= 1
Answer:
2..........3
--- x ---
3............5
Step-by-step explanation:
goes to area less than 1square yard