Answer:
please which level is this
and also is it core maths or elective math
The graph of the function f(x) = (x + 2)(x + 6) is shown below.
On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes through (negative 2, 0).
Which statement about the function is true?
The function is positive for all real values of x where
x > –4.
The function is negative for all real values of x where
–6 < x < –2.
The function is positive for all real values of x where
x < –6 or x > –3.
The function is negative for all real values of x where
x < –2.
Answer:
2nd option,
The function is negative for all read values of x where -6<x<-2
The function f(x) = (x + 2)(x + 6) is a quadratic function, and the function is negative for all real values of x where –6 < x < –2.
What are quadratic functions?Quadratic functions are functions that have an exponent or degree of 2
The function is given as:
f(x) = (x + 2)(x + 6)
From the graph of the function, the vertex is at (-4,-4) and the x-intercepts are at x = -6 and x = -2
Since the vertex is minimum, then the function is negative for all real values of x where –6 < x < –2.
Read more about x-intercepts at:
https://brainly.com/question/3951754
What fraction is equivalent to eight tentHs
The figure below is a net for a right rectangular prism. Its surface area is 104 ft2 and
the area of some of the faces are filled in below. Find the area of the missing faces,
and the missing dimension.
Answer:
12+12+10+10=44
104-44=60
60÷2=30
30 is the surface area of A
30÷6=5
5 is a missing dimention
What is the area in square units of trapezoid ABCD shown Below ?
Answer: Choice B) 50 square units
Work Shown:
A = h*(b1+b2)/2
A = 5*(12+8)/2
A = 5*(20)/2
A = 100/2
A = 50 square units (choice B)
Notice how the b1 and b2 are the parallel bases, while the height h = 5 is perpendicular to both of these bases.
The area of Trapezium ABCD is 50 square unit.
what is area of Trapezium?
The formula to calculate the area of trapezium is:
Area = ½ x Sum of parallel sides x Distance between the parallel sides
Given:
base 1= 8 , base 2 = 12 unit
height= 5 unit
so, the area of Trapezium
= 1/2 ( base 1 + base 2) /2
= 1/2 (8 + 12) x5
= 1/2 x 20 x 5
= 10 x 5
= 50 square unit.
Learn more about area of Trapezium here:
https://brainly.com/question/16687907
#SPJ2
(-72)(-15)= explain
If we decrease a dimension on a figure, how is the figure’s area affected?
The area decreases.
The area increases.
The area becomes 0.
The area remains the same.
Answer:
A) area decreases
Step-by-step explanation:
Example: we have a 2 by 3 rectangle with area of 2*3 = 6. If we cut the first dimension in half, then we have a 1 by 3 rectangle that has area 1*3 = 3. The area has decreased. To keep the area the same, we would have to increase the other dimension some specific amount.
HOPE THIS HELPS
HAVE A GOOD DAY :)
ITS RASPUTIN002
If two numbers differ by 9 the same of their squares is 653. What are the numbers?
Answer:
Two numbers differ by 9 and the sum of their square is 653. What are the numbers?
Well,that's a mathematical question from algebra and it's quite difficult to answer such questions by writing through the circumstances offered by apps like quora.
However,I have tried to answer your question in an understandable way.Hope you may not find it difficult to analyze.
Let the numbers be x and (9+x)
Therefore,according to given,
x^2 + (9+x)^2 =653
=>x^2 + (9)^2 + x^2 + 2×(9)×(x)=653 (Applying the formula of (a+b)^2)
=>x^2 + 81 + x^2 + 18x =653
=>2x^2 + 18x + (81-653)=0
=>2x^2 + 18x - 572=0
=>2x^2 + (44x - 26x) - 572=0
=>2x^2 + 44x - 26x - 572=0
=>2x(x + 22) - 26(x + 22)=0
=>(x + 22)(2x - 26)=0
But since the number can't be negative
Therefore, x=13
Hence,the required numbers are 13 and 22.
Step-by-step explanation:
in first hope you like it
Plz help me find x and y on the triangle big thanks
Answer:
This is a 30-60-90 right triangle.
The ratio of sides:
a : b : c = 1 : √3 : 2Compare with the given values:
a = 3√3, b = y, c = xy = 3√3*√3 = 9x = 2*3√3 = 6√3What is the domain of the function in the graph?
Answer:
7≤r≤12
Step-by-step explanation:
The domain is the values that the input takes
The input goes from 7 to 12
7≤r≤12
Answer: Choice B) [tex]7 \le r \le 12[/tex]
=============================================================
Explanation:
The domain is the set of allowed x inputs of a function.
How far to the left can we go on this red line? That would be x = 7.
How far to the right? That would be x = 12.
We can have x equal anything between 7 and 12, including both endpoints. We include the endpoints because they are filled in circles (as opposed to open holes).
So the domain is [tex]7 \le x \le 12[/tex]. If we replace x with r, then we update that inequality into [tex]7 \le r \le 12[/tex]. This replacement happens because r is along the horizontal x axis.
Solve the equation by factoring: 5x^2 - x = 0
Answer:
Step-by-step explanation:
x = 0, 1/5
slope of (30, 600) (75, 1050)
Answer:
y2-y1/x2-x1
y2: 1050
y1:600
x2:75
x1:30
1050-600=450
75-30=45
450/45=10
slope is 10
Answer:
let:
A(30, 600)=(x1,y1)
B((75, 1050)=(x2,y2)
now,
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] = \frac{1050 - 600}{75 - 30} [/tex]
[tex] = \frac{450}{ 45} [/tex]
[tex] = \frac{10}{1} [/tex]
DVD Video Rentals (Refer to Example 3.) The func-
tion V computes the percent share of disc DVD rentals
accounted for by various companies. This function is
defined by V(R) = 37, V(N) = 30, and V(S) = 17,
where R is Redbox, N is Netflix, and S is rental stores.
(Source: Business Insider.)
(a) Write V as a set of ordered pairs.
(b) Give the domain and range of V.
T
Answer:
[tex](a)\ V = \{(N,30),(R,37),(S,17)\}[/tex]
[tex](b)[/tex]
[tex]Domain = \{N,R,S\}[/tex]
[tex]Range = \{37,30,17\}[/tex]
Step-by-step explanation:
Given
[tex]V(R) = 37,\ V(N) = 30,\ V(S) = 17[/tex]
Solving (a): Set of ordered pair
A function y = f(x) is represented as (x,y)
So, the ordered pair of V is:
[tex]V = \{(R,37),(N,30),(S,17)\}[/tex]
Order the alphabets in increasing order
[tex]V = \{(N,30),(R,37),(S,17)\}[/tex]
Solving (b): The domain and the range
In a function [tex]\{(x_1,y_1),...,(x_n,y_n)\}[/tex]
The domain and the range are represented as:
[tex]Domain = \{x_1,x_2....x_n\}[/tex]
[tex]Range = \{y_1,y_2....y_n\}[/tex]
So, we have:
[tex]Domain = \{N,R,S\}[/tex]
[tex]Range = \{37,30,17\}[/tex]
in the given circle the radius is 9 cm what is its diameter?
Answer:
18
Step-by-step explanation:
The diameter is equal to twice the length of the radius
So if the radius is 9 then the diameter is 9 * 2 = 18
Find the missing segment in the image below
Answer:
The missing segment length is 20.
Step-by-step explanation:
2 is multiplied by 4 to get to 8, so 5 must be multiplied by 4 to get to 20.
which of the following equations has both 1 and -3 as a solution?
A). x^2-2x-3=0
B). x^2+2x-3=0
C). x^2-4x+3=0
D). x^2+4x+3=0
Using the formula D = s:t where D equals distance traveled, r equals the average rate of
speed, and t equals the time traveled, choose the expression or equation that correctly
represents this information.
Mary drove 150 miles in three hours. What was her average rate of speed?
=
150 = 3
r = 3 = 150
O p + 150 · 3
Answer: r = 50 miles/h
Step-by-step explanation:
Let r be the rate of average speed.
Then
r = D/t
r = 150/3
r = 50 miles/h
please click thanks and mark brainliest if you like :)
Oh Brian~
I need help again
Answer:
18c^3d^9
Step-by-step explanation:
2c^3 d^2 * 9d^7
We know that we add the exponents when the base is the same
2*9 c^3 d^(2+7)
18c^3d^9
help, please!
find x
This shape consists of two primary special triangles, 30-60-90 and 45-45-90.
the side with the 60° will be half of the hypotenuse because 30° is across from it.
the side with the 30° will be 5.5√3 because 60° is across from it, and any sides that has 60° across from it is associated with a √3.
x is 5.5√6 because any sides that is "below" the 45° angles are associated with a √2 times the side that's above the 45°
find the range of the function f (x) = 2x + 5 for the domain 2,5,7
Answer:
The range is {9,15,19}
Step-by-step explanation:
f (x) = 2x + 5
Let x = 2
f (2) = 2*2 + 5 = 4+5 = 9
Let x = 5
f (5) = 2*5 + 5 = 10+5 = 15
Let x = 7
f (7) = 2*7 + 5=14+5 = 19
The domain is {2,5,7}
The range is {9,15,19}
Answer:
i think what you wrote is that the domain is 2 to 5.7.
so you plug in these two numbers inside the equation cause domain means the distance in the x axis so this is how it goes.
2(2) + 5 = 9
2(5.7) +5= 16.4
so the range is 9 to 16.4
hope that answers your question...
Solve.
Simplify 7 to the fifth power times 4 to the 5th power
Answer:
7^5=16,807 and 4^5=1,024
The LARGEST angle has a measure of ______degrees
Answer:
90 i think
Step-by-step explanation:
Does the graph represent a function and if so, why?
A.Yes, no two ordered pairs on this graph have the same second element.
B.Yes, there is more than one ordered pair on this graph.
C.Yes, no two ordered pairs on this graph have the same first element.
D.No, there is a limited number of ordered pairs on this graph.
Answer:
A. yes
Step-by-step explanation:
If you were to place $2,500 in a savings account that pays 3% interest
compounded continuously, how much money will you have after 5 years?
Assume you make no other deposits or withdrawals.
Answer:
$2904.59
Step by Step Explanation:
The population model given dP/dt â P or dP dt = kP (1)
fails to take death into consideration; the growth rate equals the birth rate. In another model of a changing population of a community it is assumed that the rate at which the population changes is a net rate that is, the difference between the rate of births and the rate of deaths in the community. Determine a model for the population P(t) if both the birth rate and the death rate are proportional to the population present at time t > 0.
Answer:
.
Step-by-step explanation:
An ice cream truck started the day with 454545 ice cream sandwiches. During a stop at a busy park they sold sss ice cream sandwiches. After the stop, the truck had 212121 ice cream sandwiches remaining.
Write an equation to describe this situation.
How many ice cream sandwiches did the truck sell at the park?
Answer:
45- s= 21
s= 45- 21
=24
so the answer is 24
In which direction does the parabola x=2y2+1 open?
A up
B down
C Right
D left
Answer and Step-by-step explanation:
First, we need to set this equation equal to y, which means we need to get y by itself, and all other terms equal to y.
x = [tex]2y^2 + 1[/tex]
Subtract 1, then divide by 2 on both sides.
[tex]x - 1 = 2y^2\\\\\frac{x-1}{2} = y^2[/tex]
Now, take the square root of both sides.
[tex]y=\sqrt{\frac{x-1}{2}}[/tex]
We see that the value with the x (1) is positive, and that we have a square root function, which means the parabola would open to the right.
(If the x value was negative, the square root function's parabola would open to the left)
So, C (Right) is the correct answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Find the average rate of change of g(x) = 2x^3 - 5 from x= -4 to x= 2
Step-by-step explanation:
the average change rate is the change of the functional values from the beginning to the end of the interval, and then that divided by the length of the interval.
like with every average or mean value calculation.
g(-4) = 2×(-4)³ - 5 = -128 - 5 = -133
g(2) = 2×2³ - 5 = 16 - 5 = 11
so, on an interval of x values of 2- -4 = 6 units the function changes its values by 11 - -133 = 144 units.
the average charge rate for this x interval is therefore
144 / 6 = 24 = 24/1
for 1 unit change of x, g(x) changes in the average by 24 units.
Multiply (2x-5)(x+3)
Answer:
2x^2+x-15
Step-by-step explanation:
foil
Answer:
2x^2 + x - 15
Step-by-step explanation:
using FOIL
(2x - 5)(x + 3)
[(2x ⋅ x) + (2x ⋅ 3) + (-5 ⋅ x) + (-5 ⋅ 3)]
[2x^2 + 6x - 5x - 15]
2x^2 + x - 15
In the figure PQ || RS, find the value of x.
The value of x in the figure is 125°
And the right option is (D) 125°
To solve the problem, we use the formular for the sum of the interior angle of a polygon.
(n-2)180°
When a vertical line is drawn to touch point Q and S, it becomes a pentagon.Pentagon: A pentagon is a polygon with 5 sidesThe sum of the angle in a pentagon is[tex](5-2)180 = 540[/tex]
From the figure,∠P+∠T+∠R+∠Q+∠S = 540°
[tex]35+200+x+90+90 = 540[/tex]
[tex]415+x = 540[/tex]
[tex]x = 540-415[/tex]
[tex]x = 125[/tex]
Hence the value of x in the figure is 125°
And the right option is (D) 125°
Learn more about polygons here: https://brainly.com/question/17042929
2012
Descriptive Answer Questions
Attempt FIVE questions.
11.
Show the Fisher's ideal index number satisfies both time reversal test and factor
reversal test from the following information
Commodities
2010
Price Expenditure
Price
Expenditure
5
4
32
72
х
6
50
5
28
Y
4
3
18
40
Z
8
40
50
3 XN
10