The graph shows the absolute value parent function.
5
-5
5
-5
Which statement best describes the function?
O A. The function is increasing when x < 0.
Answers
Answer:
C, never negative
absolute value is like asking for "how much away from zero", so -5 is 5 away from zero.
The graph of the function is increasing when x>0.
What is graph?Graph a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
here, we have,
We know, cube root parent is:
The basic parent cube root function is of the form f (x) = ∛x. It increases on the interval (-∞, ∞). It increases on the interval [0, ∞). It is positive on (0, ∞) and negative on (-∞, 0). It is a non-negative function always (on [0, ∞)). Its absolute min is 0 but no absolute max. Its domain and range is the set of all real numbers.
Given,
The function f(x) = ∛x
Let x = 1, we get f(x) = 1,
x =2, f(x) = 8
if x =3, f(x) = 27.
As we know, with increase in the value of x, the value of f(x) is also increasing.
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Related Questions
. In a class of students the ratio of the number of students who like to play football and the number of students who like to play volleyball is 5:3. If the number of students who like volleyball only is 15 and the number of students who like football only is 35, then a. Find the number of students who like both games
Answers
Answer:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/intro-to-ratios/v/ratios-intro
The population of a city increases by 15% every year. If its population today is
200,000, write an equation that shows where its population will be in 2 years?
Answers
Answer:
Step-by-step explanation:
P=200000
P x .15 =x (30000)
2x=y (60000)
P + y= (200000+60000) 260000
Answer:
The equation is :
[tex]A = 200000 ( 1 + 0.15)^2[/tex]
Step-by-step explanation:
Let population in 2 years be A
Current population be P = 200,000
Rate of increase, r = 15% = 0.15
Time, t = 2years
Therefore,
[tex]A= P(1 + r)^t[/tex]
[tex]A = 200000 ( 1 + 0.15)^2[/tex]
[tex]=264500[/tex]
Population after 2 years will be 264,500
How many outcomes are in the sample space when rolling a standard number cube and spinning a spinner with 4 equal sections?
Answers
Answer:
There are 24 outcomes in the sample space.
Step-by-step explanation:
Suppose that we have some events, such that each one of these events has a given number of outcomes.
If we have an experiment where we perform all of these events, the total number of possible outcomes is equal to the product between the number of outcomes for each one of the events.
Let's apply this to our case.
Here we have two events:
Rolling a standard number cube: 6 outcomes
Spinning a spinner with 4 equal sections: there are 4 outcomes.
Then the total number of outcomes in the sample space is the product:
C = 6*4 = 24 outcomes.
There are 24 outcomes in the sample space.
Select the correct answer from each drop-down menu. Mallory goes to the farmers market every weekend. She buys six apples for $0.75 each and a bagful of oranges that are priced at $1.25 per orange. The total charge is $14.50. Write the equation representing this situation where n represents the number of oranges.
Answers
Answer:
a) The equation for the situation = 14.50 = 4.5 + 1.25n
b) The number of oranges she bought = 8 oranges
Step-by-step explanation:
Where n represents the number of oranges.
The equation is written as
Total charge = $0.75 × 6 + $1.25 × n
$14.50 = $0.75 × 6 + $1.25 × n
14.50 = 4.5 + 1.25n
1.25n = 14.5 - 4.5
1.25n = 10
n = 10 / 1.25
n = 8 oranges
Next, verify that point C divides the line in the ratio required by using the distance formula to calculate AC and CB. Show your work.
Answers
Answer:
The ratio of AC : CB is 2 : 3
Step-by-step explanation:
Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:
Using distance formula, it is found that the ratio of AC : CB is 2 : 3
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²] units.
Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:
AC = √[(2.6 -1)² + (1.8 - 1)²]
AC = √[(1.6 )² + (0.8)²]
AC = 2√(0.8)
Similarly, CB = √[(2.6 -5)² + (1.8 - 3)²]
CB = 3√(0.8)
Therefore, the ratio of AC : CB is 2 : 3
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Here is a table of values for y=f(x). Mark the statements that are true.
A. The domain for f(x) is the set {5,6,7,8,9,10,11,12,13}.
B. The range for f(x) is all real numbers.
C. f(5)=6
D. f(15)=8
Answers
Answer:
C
Step-by-step explanation:
Bc
Answer:
C and D
Step-by-step explanation:
2x=84 what is the value of x
Answers
Answer:
42
Step-by-step explanation:
Since 2x is multiplication, you have to do the inverse (opposite) of that. The opposite of multiplication is division. You have to divide 2 with 84 to find x.
2x=84
---- ----
2 2
x=42
2y+1 = y+5
Find the value y
Answers
Step-by-step explanation:
the value of Y is 4 please mark the brainliest
Hideki is draining a 45-gallon aquarium at a rate of 15 gallons a per minute. What is the initial value of the linear
function that represents this situation?
• 15 gallons
• 30 gallons
• 45 gallons
• 60 gallons
Answers
Answer:15
Step-by-step explanation: i a siwishy fishey
Is 3:5 and 5:7 equivalent
Ratios
Answers
Answer:
no its not equal
linear or nonlinear!?
Answers
Answer:
nonlinear
Step-by-step explanation:
If p= 2q^3-1, what is the value of q when p is 13
a) ∛6
b) ∛7
c) ∛14/2
d) 4393
PLS HELP QUICKLY OMG TYSM
Answers
Answer:
b) ∛7
Step-by-step explanation:
If p= 2q^3 - 1, what is the value of q when p is 13
Hence:
13 = 2q³ - 1
We add 1 to both sides
13 + 1 = 2q³ - 1 + 1
14 = 2q³
We divide both sides by 2
14/2 = 2q³/2
7 = q³
q³ = 7
We take the cube root of both sides
∛q³ = ∛7
q = ∛7
Option b is the correct option
PLS HELPSSSPSPSPSSPSP What is the congruence correspondence, if any, that will prove the given triangles congruent?
A)ASA
B)AAS
C)HL
D)SAS
Answers
Answer:
D
since we know two sides and one angle
hope it helps!
Step-by-step explanation:
Xavier is buying a new pair of snowshoes. They are regularly $85, but they are on sale for $68. What percent is the markdown?
Answers
Answer:
25%
Step-by-step explanation:
The discount percent markdown on the shoes is 20%.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the regular price of the shoes is $85 and the sale price is $68.
The difference between the regular price and the sale price is:
85 - 68
= 17
Therefore, 17 is reduced from the regular price of $85, the percentage decrease is given by:
(17/85) × 100%
= 20%
Hence, the discount percent markdown on the shoes is 20%.
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Express as decimal: Five hundred thirty four point two thousandths
Answers
Answer:
534.002
Step-by-step explanation:
in the d decimal thing it goes point tenths, hundredths, then thousandths if that makes since
Answer:
534.002
Step-by-step explanation:
I think
What is the value of x?
90°
A 110
B
135
C 315
D
522
105°
145°
1150
130°
Answers
Answer:
B
Step-by-step explanation:
The sum of the interior angles of a polygon is given by the formula s=180(n-2), where s is the sum and n is the number of sides.
In this case, the polygon has 6 sides, so s=180(6-2) or s=180×4, which equals 720.
To work out x, subtract all the other values from this amount, so x=720-90-105-130-145-115, or x=720-585. This equals 135°, so the answer is B.
**This content involves interior angles of irregular polygons, which you may wish to revise. I'm always happy to help!
Answer:
B) 135
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The two congruent angles in an isosceles triangle measure 3X + 10o and 5X - 16o . What value of X makes this relationship true?
Answers
now you combine like terms and solve!
The value of x will be equal to 13 degrees.
What is a congruent angle?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Angles that are identical to one another are referred to as congruent angles. As a result, these angles have the same measure as one another.
Given that the two congruent angles in an isosceles triangle measure 3X + 10 and 5X - 16.
The value of x will be calculated by equating the two angles.
3X + 10 = 5X - 16.
5X - 3X = 16 + 10
2X = 26
X = 26 / 2 = 13
Therefore, the value of x will be equal to 13 degrees.
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Anyone know the answer??? Not sure how to solve with only 1/3 for pythag (I am used to having 2/3 for pythag
Answers
Answer:
≈16.22
Step-by-step explanation:
AC-AD=DC
35^2-10^2=1125
√1125=15√5=AC
To find AD, you will need to use the 30, 60, 90 triangle rule.
Because of this rule, AD will be 10√3
15√5-10√3≈16.22
hope that helps
to form 5 - 4x from x :
to solve 5 - 4x = 17:
the solution to the equation 5-4x=17 is :
Answers
Answer:
x = -3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5-4*x-(17)=0
1.1 Pull out like factors :
-12 - 4x = -4 • (x + 3)
2.1 Solve : -4 = 0
This equation has no solution.
A a non-zero constant never equals zero. 2.2 Solve : x+3 = 0
Subtract 3 from both sides of the equation :
x = -3
HELP ME PLEASEEEEEEEE ASAPPPP !!
Answers
Answer:
C and D
Step-by-step explanation:
Mathematically, a unit circle is one in which the value of the radius is 1 unit
Generally, for a unit circle we have it that;
r^2 = x^2 + y^2
where (x,y) represents the coordinates of a point on the unit circle
But from above, r = 1
Thus:
x^2 + y^2 = 1
Looking at option C, by squaring each coordinate, we have
(6/7)^2 = 36/49 and the second as 13/49
by adding both, we have
36/49 + 13/49 = 49/49 = 1
Thus, we have this as a coordinate on the unit circle
For the last option;
(5/13)^2 = 25/169 and (12/13)^2 = 144/169
Adding both, we have;
25/169 + 144/169 = 169/169 = 1
So this is also a point on the unit circle
Given ix) = 17 - x2, what is the average rate of change in f(x) over the interval [1, 5]?
Answers
======================================================
Explanation:
Plug in x = 1
f(x) = 17-x^2
f(1) = 17-1^2
f(1) = 17-1
f(1) = 16
Repeat for x = 5 to find that f(5) = -8
Now we'll use the formula below to find the average rate of change from x = a to x = b.
[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(5)-f(1)}{5-1}\\\\m = \frac{-8-16}{4}\\\\m = \frac{-24}{4}\\\\m = -6\\\\[/tex]
The average rate of change is -6
The formula is basically the slope formula, more or less. So that's why I used 'm' to represent the average rate of change.
The average rate of change on the interval [1,5] is the same as finding the slope through the lines (1, 16) and (5, -8)
how do you multiply 4.56 x 1,000
Answers
Answer:
bye adding it 1000 times = 4560
Step-by-step explanation:
In ΔDEF, the measure of ∠F=90°, DE = 90 feet, and FD = 23 feet. Find the measure of ∠E to the nearest degree.
Answers
Answer:
angle E is 15 dgeree
Step-by-step explanation:
hypotenuse is the side opposite to 90 degree. So, here hypotenuse is DE.
take angle E as reference angle .Then,
opposite=DF = 23 feet
hypotenuse=DE = 90 feet
using sin rule
sin E =opposite/hypotenuse
sin E=23/90
sin E=0.255
E = [tex]sin^{-1} (0.255)[/tex]
E=14.77
E=15 degree
20 POINTS PLEASE ANSWER!
Answers
Answer:
area = 15 units ^2
Step-by-step explanation:
you look at width times height (just count the blocks vertical and horizontal)
width = 3 units
height = 5 units
area = 15 units ^2
No links pls. I also need an explanation.
Answers
Michael needs to decide which paint to buy.He found two advertisements, paint A in a 5l drum for R109,95 and paint B in a 20l drum for R599,00.
Which paint will be cheaper per liter?show all calculations.
Answers
Answer:
paint a is cheaper
Step-by-step explanation:
cost price of 1 liter of paint A = 109,95 / 5L
=21.99
cost price of 1 liter of paint B = 599 / 20L
= 29.95
paint A < paint B
What is the slope of the line represented by the equation y=-1/2x+1/4?
Answers
Answer:
The slop is - 1/2
Step-by-step explanation:
The slop is what x is multiplied by,
Bonus: What you add is the y interspet , in this case 1/4
An icicle is 12 inches long and melts at a rate of 1/4 inch per hour
Answers
Answer:
It will take 48 hours for the entire icicle to melt.
Step-by-step explanation:
12 divided by 1/4 = 48
The linear equation to model the situation is f(x) = -1/4x + 12
Complete questionWrite a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.
How to determine the linear equation?The given parameters are:
Length = 12 inchesRate = 1/4 inch per hourThe above means that:
Y-intercept (c) = 12Slope (m) = -1/4A linear equation is represented as:
f(x) = mx + c
Where f(x) represents the function and x represents the number of hours.
So, we have:
f(x) = -1/4x + 12
Hence, the linear equation to model the scenario is f(x) = -1/4x + 12
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(repost cuz the last didn’t load) please help ‼️
Answers
2: (pi)13^2= 530.93 then multiply that by 8 and you get 47247.44
3. (pi)18^2= 1017.88 then multiply that by 22 and you get 22393.36
What is the product?
(4y − 3)(2y2 + 3y − 5)
Answers
=(4y+−3)(2y^2+3y+−5)
=(4y)(2y^2)+(4y)(3y)+(4y)(−5)+(−3)
(2y^2)+(−3)(3y)+(−3)(−5)
=8y^3+12y^2-20y-6y^2-9y+15
=8y^3+6y^2-29y+15
