1. isn't an exponential function
2. growths
3. growths
4. decay
5. growths
The exponential operations have the subsequent formula: y = K1 × [tex]K2^{(k3*t)}[/tex], where K3, K2, and K1 are constants and K2 is more distinguished than zero.
Exponential operation graphs either decrease or always increase.
To determine whether the operation increases or declines, just consider it at two points, for example, t = 0 and t = 1, and compare the consequences.
1. y = 100 × [tex](1 - 12)^x[/tex] = 100 × [tex](-11)^x[/tex]
Because (-11) is a negative number, y is not an exponential function.
2. y(0) = 0.1 × [tex](1.25)^0[/tex] = 0.1
y(1) = 0.1 × (1.25) = 0.125
y(1) > y(0) → growths
3. y(0) =((1−0.03) × 12)² × (0) = 1
y(0) =((1 − 0.03) × 12)²= 135.4896
y(1) > y(0) → growths
4. y(0) = 426 × [tex](0.98)^0[/tex] = 426
y(1) = 426 × [tex](0.98)^1[/tex] = 417.48
y(1) < y(0) → decay
5. y(0) = 2050 × [tex](12)^{0}[/tex] = 2050
y(1) = 2050 × 12 = 24600
y(1) > y(0) → growths
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The question is -
Does each function describe exponential growth or decay?
Drag and drop the equations into the boxes to correctly complete the table.
Growth Decay
y=100(1−12)^ty=0.1(1.25)^ty=((1−0.03)12)^2ty=426(0.98)^ty=2050(12)^tDeShawn ran 40.7 miles less than Mark (m) last week. DeShawn ran 9.3 miles. How many miles did Mark run? Do not include spaces in your answers. 20 points!!!
The number of miles that Mark ran was 50 miles.
How do we get the number of miles that Mark ran?We can get the number of miles that Mark runs by first assigning him the figure x.
Since DeSahwn ran 40. 7 miles less than Mark, we can express this thus:
x - 40. 7 miles.
If the number of miles that DeShawn ran was 9.3 miles we can factor that into the equation as follows:
x - 40. 7 miles = 9.3 miles
x = 9.3 + 40.7
x = 50 miles.
Therefore, the total number of miles that Mark ran was 50 miles.
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Has a slope of 4/5 and passes through point (-5,12)
Write equation in point slope form.
Answer:
y = (4/5)x + 16
Point-slope form:
y - 12 = (4/5)(x + 5)
Step-by-step explanation:
slope = m; (-5, 12)
m = (4/5) (x₁, y₁)
y - y₁ = m(x - x₁)
y - 12 = (4/5)(x - (-5))
y - 12 = (4/5)(x + 5)
y - 12 = (4/5)x + 4
+12 +12
--------------------------
y = (4/5)x + 16
I hope this helps!
Determine the parent function.
Answer:
Determine the Parent Function: y=√x
I verified with a graphing calculator: Demsos. y=x^3 will cross intercepts (x) which is not the parent function and y=1/x is a rational function that is not the parent function that is being asked for.
PLS HELP 10 points plsssss now
Answer: Alternate interior angles and congruent angles.
Step-by-step explanation: The angles are formed when a line cuts two transversals, and they’re inside the two lines, meaning that they are congruent and alternate interior angles.
(I’ve also attached a helpful image from the web!)
In a group of 40
people, 22 of them
have brown hair.
What percent of
them don't have
brown hair?
Answer:
Step-by-step explanation:
Hi:
First determine those without brown hair:
40-22=18 don't have brown hair.
18/40 don't have brown hair:
Divide by 2
9/20
Multiply by 5 to get percent
45/100= 45 percent don't have brown hair
help i need the answer quick
Answer:
First and Third
Step-by-step explanation:
The graphs obey the function equations but the intervals are marked incorrect in #s 2 and 4
One thing to keep in mind is that when you have a piecewise function valid on certain intervals, the circle shape denoting the beginning of the interval is very important
If it is a filled circle it denotes a ≤ (or ≥) inequality
If it is an unfilled (hollow) circle it denotes a < (or >) inequality
Looking at the second graph we see that
f(x) = -1 for -∞ < x < -1
Assuming the interval is correctly defined, that solid circle at x = -1, y = -1 should be a hollow circle not a filled circle
Similarly for f(x) = 3x² + 3, the interval is given as -1 ≤ x < ∞ but the starting circle for this interval is an unfilled circle, it should be a filled circle
A similar situation applies to the fourth choice and you should be able to figure that out yourself
Giorgio used all the vegetables shown in the table above for his dinner.
a. How much money did his meal cost?
Considering the cost of 3 bell peppers are $2.05, 4 tomatoes are $1.09, 2 onions are $0.65 and 5 potatoes are $0.33, and Giorgio used all these vegetables for his dinner, then his meal costed a total amount of $4.45.
As per the question statement, no information about the vegetables Gorgio used for his dinner or their prices are provided in the question statement, and thus we are considering that, Gorgio used 3 bell peppers that costed $2.05, 4 tomatoes at $1.09, 2 onions at $0.65 and 5 potatoes at $0.33 in his dinner recipe.
We are required to calculate how much does Gorgio's dinner meal cost.
To solve this question, we simply have to add up the prices of the ingredients and we will obtain our desired answer.
That is, Gorgio's meal costed a total amount of $(2.05 + 1.09 + 0.65 + 0.33)
= $4.45
Amount: In Mathematics, amount generally refers to the summation or adding up of two or more quantities, particularly the quantity being money.To learn more about Amounts, totals and prices, click on the link below.
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4.
This figure is made from a part of a square and a part of a circle
8
4
unit?
a
What is the perimeter of this figure, to the nearest sind?
What is the area of this figure, to the nearest square
A portion of a square and a portion of a circle were used to create this figure. The perimeter of the figure is 36.28 units.
Given that,
A portion of a square and a portion of a circle were used to create this figure.
We have to find the perimeter of the figure.
Three linear sides are measured in units of 4, 8, 8, 4.
Radius of the circular part = 4 units
Measure of a polygon's circumference equals the polygon's perimeter.
From the figure we can see,
Figure perimeter equals the sum of the lengths of the three straight lines and the circumference of the quarter circle.
Measure of linear sides = 4 + 8 + 8 + 4 = 24 units
Circumference of the quarter circle = 1/4(2πr)
=1/2×π×4
=2×π
=2×3.14
=6.28 units.
Perimeter of the figure is 30+6.28
=36.28 units.
Therefore, the perimeter of the figure is 36.28 units.
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What is the slope of the line created by this equation?
Round your answer out to two decimal places.
9x+4y = 4
[tex]9x+4y=4\implies 4y=-9x+4\implies y=\cfrac{-9x+4}{4} \\\\\\ y=\cfrac{-9x}{4}+\cfrac{4}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{9}{4}}x+1\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
HELP ME PLEASE DONT MIND THE DRAWING
1. Point slope form
2. y = -2x + 25
The formula for point slope form is:
y − y1 = m(x − x1), which is exactly what y-7=-2(x-9) is, as y1 is 7, m is -2 and x is 9.
To get this into slope intercept form, we have to solve for y/ isolate it.
y - 7 = -2 (x-9)
First, distribute the -2.
y - 7 = -2x + 18
Then add 7 on both sides to get rid of the -7.
+ 7 + 7
y = -2x+25
2m ÷8m in standard form
Answer:
1/4
Step-by-step explanation:
2m/8m = 1/4
Answer:
1/4
Step-by-step explanation:
2m ÷8m
Divide
2m
----
8m
Cancel like terms
2
---
8
Divide the top and bottom by 2
2/2
------
8/2
1
-----
4
4 = -(x + 3) implemented as a real life problem
Answer all questions.
1. Slope of the line is: c. -3/2.
2. (4, 0) lies on the line.
3. The angle relationship is congruent angles.
4. x = 19
5. m<A = 39
6. The angle relationship is corresponding angles.
7. a. congruent angles.
8. x = 12
9. m<A = 72°
10. m<B = 43°
What is the Slope of a Line?The slope of a line = change in y/change in x
What are Angle Relationships?Angle relationships is used to determine the measures of angles depending on how the two angles relate, whether they are congruent or supplementary angles. For example, corresponding angles are congruent, linear pair angles are supplementary.
1. Slope of the line that passes through (-7, 3) and (-5, 0):
Slope (m) = (3 - 0)/(-7 -(-5)) = 3/-2
Slope (m) is: c. -3/2.
2. The graph of the equation y = 1/2x - 2 is shown in the attachment, which shows that the point that lies on the line is:
(4, 0)
3. The angle relationship is congruent angles.
4. 39 = 2x + 1
39 - 1 = 2x
38 = 2x
38/2 = x
x = 19
5. m<A = 2x + 1 = 2(19) + 1
m<A = 39
6. The angle relationship is corresponding angles.
7. They are: a. congruent angles.
8. 38 = 3x + 2
38 - 2 = 3x
36 = 3x
36/3 = x
x = 12
9. m<A = 180 - 108 [supplementary angles]
m<A = 72°
10. m<B = 180 - 65 - 72
m<B = 43°
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Maria has $40, which is 170% of the amount that Kelly has. How much money, in dollars, does Kelly have?
Answer:
Step-by-step explanation:
I haven't done percentages in a while but the answer after I did it would 15 dollars from where I rounded it. You multiply 15 by 270% which is 2.7 and that's the closest to 40. So Kelly would have 15 dollars.
(Fact check me math people)
A family took a road trip it takes 1/4 tank of gas to travel 1/5 of the total distance at this rate,What fraction of the total distance can the family travel using tmp tank of gas.
Can you please give me the name of the Math book that has this problem solving question below?
Nick's bank account balance was $21. if he writes a check for $30 and his bank charges him $35 for overdrawing his account, find his account balance
Answer:
not sure but I know the answer
Step-by-step explanation:
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Which of the following is a 90° counterclockwise rotation of Figure M?
Figure A
Figure B
Figure C
Figure D
Answer:
A 90-degree CCW rotation will take the points to the left. of the rotational point.
As you have provided no picture to show Figure M and its image rotations, this is as far as I can provide an answer.
Hope that helps
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x-20y=40
The equation of a line into slope-intercept form is represented as:
y = mx + c
where m = slope of the line
c = y-intercept of the line
On simplifying 8x - 20y = 40, the equation will be:
⇒ 2 (4x - 10y) = 2 (20)
⇒ 4x - 10y = 20
⇒ 2x - 5y = 10
⇒ 2x - 10 = 5y
⇒ 5y = 2x + (-10)
⇒ y = 2x/5 + (-10/5)
⇒ y = 2x/5 + (-2)
The slope of this line = 2/5
y-intercept of the line = -2
What is the Slope of a Line?A line's steepness is based on its slope. The slope is m in the equation y = mx + b, which is the common equation for a line. Additionally, it is frequently referred to as "rise over run," which indicates how much the y-value changes as the x-value changes.When a line advances from left to right and has a positive slope, the line rises (slopes up). When a line moves from left to right and has a negative slope, it descends (goes down).A line's slope can be determined by selecting two points from the line's graph and then providing the line's graph as input.The simplest method for doing this is to choose 2 locations on the line with integer coordinates, then add up the changes in x and y.To learn more about the Slope of a Line, refer to:
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Two thirds of the employees at an office stated that they preferred soft cookies over crispy cookies. More than 36 employees stated their preference. Ren was asked to write, solve, and graph an inequality to find the number of employees working at the office. His work is shown below.
Step
Ren’s work
Step 1
Two-thirds x less-than 36
Step 2
x less-than 54
Step 3
A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shaded.
Where, if any, did Ren first make a mistake in his work?
Step 1
Step 2
Step 3
No mistake found
Answer: Ren first make a mistake in his work at step 1
Step-by-step explanation:
Step 1 : 2x/3 < 36 Step 2 : x < 54Step 3 :
A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shadedMistake is in 1st step it self which is cascaded in further stepsCorrect would be 2x/3 > 36 as more than 36 employees stated their preference hence 2x/3 must be greater than 36
Answer: Its a correct me if i'm wrong
Step-by-step explanation:
Solve for a10a7a =✓ [?]Pythagorean Theorem: a b = c2
In order to calculate the value of 'a', we can use the Pythagorean theorem, where the hypotenuse squared is equal the sum of each leg squared:
[tex]h^2=l^2_1+l^2_2[/tex]In this case, the hypotenuse is 10 and the legs are 'a' and 7, so we have:
[tex]\begin{gathered} 10^2=a^2+7^2 \\ 100=a^2+49 \\ a^2=100-49 \\ a^2=51 \\ a=\sqrt[]{51} \end{gathered}[/tex]So the value of 'a' is √51.
the length of two sides of the right triangle ABC shown in the illustration are given. I have to find the length of the third side in centimeters. a= 7 cm and b= 24 cm
we have that
Applying the Pythagorean Theorem
c^2=a^2+b^2
substitute given values
c^2=7^2+24^2
c^2=49+576
c^2=625
c=25 cmIf p = 10^m, q = 10^n and p^n*q^m = 100 then prove that mn=1
Answer:
Step-by-step explanation:
[tex]\displaystyle\\p=10^m;q=10^n;p^n*q^m=100\\\\p^n*q^m=(10^m)^n*(10^n)^m=10^{mn}*10^{nm}=10^{2mn}=100^{mn}=100\\\\\Rightarrow\ mn=1[/tex]
What is the reciprocal number of 1 1 9?
Answer:
1/119
Step-by-step explanation:
119 is a whole number which you convert into 119/1 then the reciprical would be 1/119
Translate the sentence into an inequality.
The product of y and 5 is greater than or equal to - 20.
The product of y and 5 is greater than or equal to - 20 is 5y ≥ -20
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
In this case, the product of y and 5 is greater than or equal to - 20 will be:
(5 × y) ≥ -20
5y ≥ -20
This is the inequality.
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Write the sentence as an absolute value inequality, then solve the inequality.
Twice a number n is no less than 10 units from −1.
An inequality | 2n -(- 1) | ≥ 10
| 2n + 1 | ≥ 10
after solving the inequality we get the value of n, n ≥ 4.5 and n ≤ - 5.5
According to the question, given that
An inequality which has twice a number n is no less than 10 units from −1.
then inequality : | 2n -(- 1) | ≥ 10
| 2n + 1 | ≥ 10
So, 2n + 1 ≥ 10 or 2n + 1 ≤ - 10
2n ≥ 10 - 1 2n ≤ - 10 - 1
2n ≥ 9 2n ≤ - 11
n ≥ 4.5 n ≤ - 5.5
Therefore, we get the value n, n ≥ 4.5 and n = ≤ - 5.5 after solving inequality.
Algebraic expressions are contrasted in a mathematical statement known as an inequality using the greater-than (>), less-than (), and other inequality symbols. A pair of inequalities connected by and or or form a compound inequality. In this lesson, linear and compound inequalities in one variable will be resolved using the properties of inequalities. After this, the study of absolute-value equations and inequalities continues.
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is 0.4141... a rational number or an irrational number?
Rational number
Step-by-step explanation:it repeats - { 4 1 4 1 }it is both non-terminating and repeating.Answer:
It is rational, as it is both non-terminating and repeating.
hope it helps :D
Robert pays for his family to go to the arcade he pays an interest fee for his food and additional amount per game that his family plays as shown in the graph use the graph to answer 5-7
Answer:
5) ¾, The slope is ¾ since the cost increases by 3 dollars for every 4 games Robert and his family play.
6) 12, The y-intercept is 12 since Robert had to pay an entrance fee of 12 dollars in order to enter the arcade.
7) y=¾x+12
20 rabbits are captured and marked. two weeks later, 12 rabbits are recaptured. of these 12 only 5 are marked. what is the estimated population? show all work for credit.
The estimated population is found to be 48 rabbits
The estimated population, P is determined by using the following formula:
[tex]P=T_{F} *T_{L} /M[/tex]
P=estimated population
[tex]T_{F}[/tex]=total animals captured in first trapping
M=recaptured animals that are marked
[tex]T_{L}[/tex]=total animals captured in a later trapping
From the question, [tex]T_{F}[/tex]=20 rabbits, M=5 rabbits, [tex]T_{L}[/tex]=12
P=20*12/5
P=240/5
P=48 rabbits
Hence, the estimated population is 48 rabbits
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find the areas of the figures below. can you find more than one method for each shape. a. 14m
5m
5m
3m
Answer:
points
Step-by-step explanation:
dunno gl
evaluate the function when x=3 h(x) = -x + 5
Answer:
2
Step-by-step explanation:
substitute x = 3 into h(x)
h(3) = - 3 + 5 = 2
