The interval over which the function f(x) is negative is (-infinity, -4) .
Given,
The values of f(x) for corresponding x .
Here,
From the table,
x = -8 ; f(x) = -16
x = -6 ; f(x) = -8
Thus from the data given in the table it is clear that the function f(x) will be negative if we decrease the value of x .
Thus f(x) will be negative for the values which are smaller than -8 .
Now,
When
x = -4 ; f(x) = 0
x = -2 ; f(x) = 8
Thus f(x) changes its sign at x = -4.
So,
Interval in which f(x) will be negative : (-infinity, -4) .
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What is the value of n?
In
= 5
5 only
O and 5
-5 or 5
-5 only
Helpppp ASAP
Answer: is there a gra or something to show
Step-by-step explanation:
What is the lateral area of the cone to the nearest whole number? The figure is not drawn to
scale.
15,080 m2
25,133 m2
45,239 m2
50,265 m2
Answer:
The lateral surface area of the cone is [tex]25120\ m^2[/tex].
Step-by-step explanation:
We have.
Height of a cone is 60 m
Diameter of a cone is 10 m
Radius, r = 80 m
The lateral surface area of a cone is given by :
[tex]A=\pi rl[/tex]
l is slant height of the cone,
[tex]l=\sqrt{60^2+80^2} =100\ m[/tex]
Plugging all values in above formula,
[tex]A=3.14\times 80\times 100\\\\A=25120\ m^2[/tex]
So, the lateral surface area of the cone is [tex]25120\ m^2[/tex].
4.9.21
Solve the system of equations.
y=x² + 6x-2
y= - x2 + 4x + 22
Select the correct choice below and, if necessary, fill in box
- the solution(s) are:
- there is no solution
Answer:
x = -4 or 3
Step-by-step explanation:
[tex]x^{2}[/tex] + 6x - 2 = -[tex]x^{2}[/tex] + 4x + 22
2[tex]x^{2}[/tex] + 2x - 24 = 0
[tex]x^{2}[/tex] + x - 12 = 0
(x + 4)(x - 3)=0
x = -4 or 3
Consider a single spin of the spinner.
Which events are mutually exclusive? Choose all that apply.
a
landing on an unshaded sector and landing on a number less than 2
b
landing on a shaded sector and landing on a 3
c
landing on an unshaded portion and landing on an odd number
d
landing on a shaded sector and landing on an even number
e
landing on a shaded sector and landing on a number greater than 3
The question is incomplete
Find attached to the question, the appropriate diagram
Answer:
a) landing on an unshaded sector and landing on a number less than 2
b) landing on a shaded sector and landing on a 3
Step-by-step explanation:
Mutually exclusive events are two events that can occur separately on their own but they cannot occur together or at the same time.
The options given are explained below:
We have two shaded sectors: 1 and 4
We have two unshaded sectors : 2 and 3
a) landing on an unshaded sector and landing on a number less than 2
Looking at option a, we find out that it is possible for the spinners to land on an unshaded sector separately likewise on a number less than 2 but it cannot land on an unshaded sector AND and number less than 2 because looking at the spinner, the numbers on the unshaded sectors are 2 ( is equal to two) and 3 ( which is above 2).
Therefore this option is mutually exclusive and correct.
b) landing on a shaded sector and landing on a 3
It is possible to land on a shaded sector likewise it is possible to land on a 3 but it is not possible to land on a shaded sector and land on a 3 at the same time.
This is because, the number on the shaded sector is 1 and 4 and the number on the unshaded sector is 2 and 3, we have only one spinner so the spinner can only land on one sector at a time.
Therefore, Option b is a mutually exclusive event and it is a correct option.
c) landing on an unshaded portion and landing on an odd number
The unshaded portion on the spinner has number 2 and 3 on them, therefore it is possible to land on an unshaded portion and odd number which is 3 at the same time.
Option c is not a mutually inclusive event and it is wrong.
d) landing on a shaded sector and landing on an even number
The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and even number which is 4 at the same time.
Option d is not a mutually inclusive event and it is wrong.
e)landing on a shaded sector and landing on a number greater than 3
The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and a number greater than 3 which is 4 at the same time.
Option e is not a mutually inclusive event and it is wrong.
Therefore, option a and option b are mutually exclusive events and they are correct.
Answer:
a. landing on an unshaded sector and landing on a number less than 2
e landing on a shaded sector and landing on a number greater than 3
Step-by-step explanation:
Two events ; for example events A and B are said to be mutually exclusive , if they cannot both occur simultaneously.In set theoretical notation , we say that the two sets A and B are disjoint set.
i.e
A ∩ B = ∅
Pr (A ∩ B) = 0
The intersection of A and B is an empty set and as such there is no intersection.
From the given options; option a and e are correct because ;
a.
landing on an unshaded sector and landing on a number less than 2
Landing on an unshaded portion would 2 or 3.
Landing on a number less than 2 would be 1.
There is no intersection and as such these events are mutually exclusive.
e.
landing on a shaded sector and landing on a number greater than 3
Landing on a shaded portion would be 1 or 4.
Landing on a number greater than 3 would be just 4.
The intersection of both events will be an empty set (∅)
As such these events are not mutually exclusive.
Which of these is the standard form of the following function?
f(x) = -9(x + 5)2 + 4
f(x) = -9x2 - 90x - 221
AX) = 9x2 - 90x - 221
f(x) = -9x2 – 180x – 221
RX) = 9x2 - 180x + 221
Answer:
A
Step-by-step explanation:
Given
f(x) = - 9(x + 5)² + 4 ← expand parenthesis using FOIL
= - 9(x² + 10x + 25) + 4 ← distribute parenthesis by - 9
= - 9x² - 90x - 225 + 4 ← collect like terms
= - 9x² - 90x - 221 ← in standard form
Answer: Bro write the question better
Step-by-step explanation:
Choose all of the terms that can be used for x in a function.
Answer:
Eg.y=3x
Step-by-step explanation:
Answer:
Eg.y=3x
Step-by-step explanation:
Simplify the expression
Answer:
256
Step-by-step explanation:
sqrt3 64 = 4
4^4 = 256
David correctly factored the expression m^2-12m - 64.
Which expression did he write?
(1) (m - 8)(m - 8) (3) (m - 16)(m +4)
(2) (m - 8)(m + 8) (4) (m +16)(m - 4)
Explain why
Answer:
(m-16)(m+4)
Step-by-step explanation:
To factor a quadratic expression
First write the variable in each parentheses, then put negative/ positive, after that ask yourself what numbers have the product of the coefficient of x^0 and the sum of x^1.
David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4).
How to factor an equation?An equation can be factored into its factors by splitting the middle term of the equation.
The given expression can be factored as shown below:m^2 - 12m - 64 = 0
⇒ m^2 - 16m +4m - 64 = 0
⇒ m(m - 16) + 4(m - 16) = 0
⇒ (m + 4)(m - 16) = 0
The factors of the equation m^2 - 12m - 64 = 0 are (m - 16)(m + 4).
Therefore, we have found that David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4). The correct answer is option C or (3).
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What percentage of temperatures are below 55 degrees
Answer:
D) 20%
Step-by-step explanation:
Answer: The answer is B. 25%
please help
Which two points on the number line are opposites?
A number line going from negative 2 to positive 2 in increments of 1. There are 3 equal spaces between each number. Point A is 1 mark to the right of negative 2. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the right of 0. Point D is 2 marks to the right of 1.
points A and B
points B and C
points C and D
points A and D
Answer:
Its B C
Step-by-step explanation:
on edge2020
Simplify the expression. Write your answer as a power.
(-6.1) 1
(-6.1).(-6.1)2
The simplified expression is
.
Answer:
(-6.1)^2
Step-by-step explanation:
Look at the attachment
Find the approximate perimeter of the
isosceles triangle APAZ plotted below.
Round your final answer to the nearest
hundredth.
Answer:
20.03
Step-by-step explanation:
To find the perimeter of the triangle, we need to find the length of each side, and we can do this finding the distance from each pair of vertix of the triangle:
Knowing that P = (3, -4), A = (-4, 1) and Z = (-2, 3), we have:
side PZ: distance = sqrt((3 - (-2))^2 + (-4 - 3)^2) = 8.6023
side PA: distance = sqrt((3 - (-4))^2 + (-4 - 1)^2) = 8.6023
side AZ: distance = sqrt((-4 - (-2))^2 + (1 - 3)^2) = 2.8284
So the perimeter is PZ + PA + AZ = 8.6023 + 8.6023 + 2.8284 = 20.03
i am doing alot of these brainliest ans for best 1
Answer:
same here buddy lol. 2,4,6
Step-by-step explanation:
Answer:
Yep. 2,4,6
Step-by-step explanation:
Find the volume of the cone
Answer: 18.85 units^3
Step-by-step explanation:
V = 3.14 x r^2 x h/3
Answer:
[tex]≈
18.849 {units}^{3} [/tex]
Step-by-step explanation:
[tex]v = \pi {r}^{2} \frac{h}{ 3} \\ = \pi \times {3}^{2} \times \frac{2}{3} \\ ≈
18.84956
[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Please help with this question
Answer:
10X + 20 +5X +25 = 180
15x=180-45
X= 135/15
X=9
Please mark me brainliest and thank me and rate me. Sis.
If A = (0,0) and B = (6,3), what is the length of AB?
O A. 6.24 units
O B. 7.73 units
O C. 5.20 units
O D. 6.71 units
Answer:
D. 6.71 units
Step-by-step explanation:
In order to solve this, we need to use the distance formula, which states that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Here, we have (0, 0) and (6, 3), so:
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
d = [tex]\sqrt{(3-0)^2+(6-0)^2}=\sqrt{9+36} =\sqrt{45} =3\sqrt{5}[/tex] ≈ 6.71
The answer is thus D.
Answer:
D 6.71 units
Step-by-step explanation:
AB² = (6 - 0)² + (3 - 0)²
AB² = 36 + 9
AB² = 45
AB = 3sqrt(5)
Approximately 6.71
Miss McGrew is making stools for her first graders to use during story time. To make the stools, she covers wooden cubes with carpet.
How much carpet does it take to cover each cube?
Answer:
9600
Step-by-step explanation:
Khan Academy LOL
P.S plz mark as brainliest and smack that thank you button also rate 5 stars
Answer:
9600 is the correct answer.
Step-by-step explanation:
Which is the best estimate for the percent equivalent of StartFraction 7 Over 15 EndFraction?
A.21
B.22
C.46
D.47
please help!
Answer:
47%
Step-by-step explanation:
find x and y i will give brainliest
Answer: N= 135, M=45.
Step-by-step explanation:The formula to find the degree inside of a shape is: (n-2)180. This is an octagon, so it has 8 sides, plug this in for n.
8-2 * 180
1080 divide by 8 to get the value of n
n=135
The formula for an angle outside of the shape is:
360/n n is still eight, so plug this in for n
360/8
m=45
Answer:
n = 135 degrees ( ° ) ,
m = 45 degrees ( ° )
Step-by-step explanation:
* Sorry I didn't answer this before *
1. In this figure we can see that this visual is a representation of an octagon, provided it's 8 sides.
2. Knowing this, let us split this figure into triangle 180 degrees each ⇒ compute the total interior angles in degrees.
3. If you were to draw lines from one vertex to any other non-adjacent vertices, it would be that 6 triangles are formed.
4. One triangle ⇒ 180 degrees ( ° ) so that this octagon ⇒ 180° * number of triangles, or ⇒ 180 * 6 = 1080°
5. Knowing that this shape is a regular polygon, all angles are congruent such that if x represents one interior angle ⇒ 8x = 1080, ⇒ x = 135°. As n acts as one of the interior angles in this figure ⇒ n = 135 degrees ( ° )
6. Now through supplementary angles, the interior angle adjacent to angle m would form a linear pair, adding to 180°.
7. This would mean that m + interior angle = 180, and as all interior angles were found to be 135 degrees ⇒ m + 132 = 180 ⇒ m = 45 degrees ( ° )
find the output, y, when the input, x, is -5.
Answer:
y = -2
Step-by-step explanation:
When x = -5
Go to the blue line
y = -2
Answer:
There are 2 questions with the same question but with a different graph.
This graphs answer is -2.
But the other graph that people are confused about is 7.
Step-by-step explanation:
Hope this helps! :)
The equations 2 x minus 5 y = negative 5, 11 x minus 5 y = 15, 9 x + 5 y = 5, and 14 x + 5 y = negative 5 are shown on the graph below.
On a coordinate plane, there are 4 lines. Green line goes through (2, 1.5) and (0.5, negative 2). Blue line goes through (0, 1) and (0.5, 0). Pink line goes through (negative 1, 2), and (0, negative 1). Orange line goes through (0, 1) and (2, 1.75).
Which system of equations has a solution of approximately (–0.6, 0.8)?
Answer:
[tex]14x+5y=-5\\2x-5y=-5[/tex]
Step-by-step explanation:
The given equations are
[tex]2x-5y=-5\\11x-5y=15\\9x+5y=5\\14x+5y=-5[/tex]
Let's demontrate that the system
[tex]14x+5y=-5\\2x-5y=-5[/tex]
Has (-0.6, 0.8) as solution, approximately.
If we sum those equations, we have
[tex]16x=-10\\x=\frac{-10}{16} \approx -0.625[/tex]
Then, we use this value to find the other one
[tex]2x-5y=-5\\2(-0.625)-5y=-5\\-5y=-5+1.25\\y=\frac{-3.75}{-5} \approx 0.75[/tex]
As you can see, the answers aproximates to (-0.6, 0.8).
Therefore, the right system is
[tex]14x+5y=-5\\2x-5y=-5[/tex]
Answer:
B
Step-by-step explanation:
10 teams are in the Olympic bobsled finals. How many different ways can the teams win the medals?
In the Olympics, you get a gold medal for 1st, silver for 2nd and bronze for 3rd.
Use the proof to answer the question below.
Given: AB || DE and ZA = LC
Prove: M4BC - ADEC
a. SAS
b. AA
c. SSS
d. AAS
Answer:
if B is AAA then that is correct
Step-by-step explanation:
Goodbye Brainly, goodbye everyone I started using this when I started my new geometry class about 5 months ago but I finished yesterday so I no longer need to use this had fun and without this I probably would of failed its unlikely that ill use this next year peace..
Answer:
bye have fun
Step-by-step explanation:
Substitute 5 for x and evaluate the expression below.
(x-2) +11
Answer:
14
Step-by-step explanation:
(5-x) +11 = 14
3a + 2 - 5a = -14. Can someone solve this for me.
Answer:
a = 8
Step-by-step explanation:
-2a + 2 = -14
-2a = -16
-16/-2 = 8
a = 8
Answer:
a=8
Step-by-step explanation:
3a + 2 - 5a = -14
Combine like terms
-2a +2 = -14
Subtract 2 from each side
-2a +2-2 = -14-2
-2a = -16
Divide each side by -2
-2a/-2 = -16/-2
a = 8
The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:
PPLLLZZZ HEEELPP WILL MARKK BRAINLESTTT!!!! PLEASE HURRY
Car A
y = 55x + 32
Car B
y = 42x + 58
After how many hours will the two cars be at the same distance from their starting point and what will that distance be?
2 hours, 142 miles
2 hours, 145 miles
3 hours, 142 miles
3 hours, 145 miles
Answer:
2 hours, 142 miles
Step-by-step explanation:
Given;
equation of motion of car A as;
y = 55x + 32
equation of motion of car B as;
y = 42x + 58
where;
y is distance measured in miles
x is time measured in hours
When the distance of the two cars are equal, we will have the following equation;
55x + 32 = 42x + 58
collect like terms and solve for x
55x - 42x = 58 - 32
13x = 26
x = 26 /13
x = 2 hours ( x is time measured in hours)
Now substitute in the value of x into any equation of the cars;
y = 55x + 32
y = 55 (2) + 32
y = 110 + 32
y = 142 miles ( y is distance measured in miles)
Thus, the correct option is 2 hours, 142 miles
Describe how the graph of the parent function y= √x is transformed when graphing y= 3 √x-6. The graph is translated 6 units ____?
The Answer: is ( Right . )
For the second answer is ( reflected over the x axis . )
The third one is stretch by a factor of 3 .
the fourth one is graph A
Step-by-step explanation:
Translate the graph of the parent function towards the right by 6 units. So, the graph obtained is the graph of [tex]y = \sqrt{x-6}[/tex] and this can be determined by using the rules of transformation.
Given :
Parent Function -- [tex]y = \sqrt{x}[/tex]Transformed Function -- [tex]y = 3\sqrt{x-6}[/tex]The following steps can be used in order to translate the graph by 6 units:
Step 1 - Write the parent function.
[tex]y = \sqrt{x}[/tex]
Step 2 - Draw the graph of the parent function [tex]y = \sqrt{x}[/tex].
Step 3 - Now, translate the graph of the parent function towards the right by 6 units. So, the graph obtained is the graph of [tex]y = \sqrt{x-6}[/tex].
Step 4 - Now, stretch the graph of the function obtained in the above step by 3 units. So, the graph obtained is the graph of [tex]y = 3\sqrt{x-6}[/tex].
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SOS need help
The cost (c), in dollars, charged by a car rental agency is calculated using the equation c=12+0.29m, where m represents the distance traveled in miles
A 56
B 153
C 194
D 206
E 236
Answer:
E= 236
Step-by-step explanation:
If C is 56.37, then m= 236
Answer:
236
Step-by-step explanation:
When 3 is subtracted from 1/3 of a number n, the result is less than 6. Which inequality and solution represent this situation?
A: 1/3n - 3 < 6; n < 27
B: 3 - 1/3n < 6; n > -9
C: 1/3n - 3 < 6; n < 9
D: 3 - 1/3n < 6; n < -9
Answer: A
Step-by-step explanation:
1/3n (variable)
-3 (it says subtracted)
(is less than 6)
(n is less that 27)