The type of function that describes the function g(x) is (a) Exponential function
How to determine the type of function?From the question, we have the following parameters that can be used in our computation: The table of values
The table of values is given as
x –3 –1 1 3 5 7 9
g(x) 0.375 0.75 1.5 3 6 12 24
From the above function, we have the following pattern
As the values of x increases by 2The values of y doublesThis represents an exponential function
This is so because the general rule of functions is that only exponential functions have the properties represented in the above table values
This means that the function is an exponential function
Hence, the type of function is (a) Exponential function
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I need help the question > The function f(x)=2-3x Find the value of the number K if kf(3)=7f(2) can anyone help?
The value of k for the function k f( 3 ) = 7 f( 2 ) is 2
What is a Function ?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
According to the given information
We are given with the function
f( x ) = 2 -3x
f ( 3 ) = 2 - 3(3)
= 2 - 9
f ( 3 ) = -7
f ( 2 ) = 2 - 2(2)
= 2 - 4
f ( 2 ) = -2
We are given
k f( 3 ) = 7 f( 2 )
k ( -7 ) = 7 ( -2 )
k = 2
The value of k for the function k f( 3 ) = 7 f( 2 ) is 2
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Rewrite 3x + 15 as the product of two factors
Answer:
Below
Step-by-step explanation:
3x+15 <==== factor out '3'
3 * ( x+5) done !
5/7 of.... is 1/7. What is the missing number?
The missing number is [tex]\frac{1}{5}[/tex]
Let the missing number be x.
now, [tex]\frac{5x}{7}[/tex] = [tex]\frac{1}{7}[/tex]
on cross multiplying we get,
x= [tex]\frac{7}{35}[/tex]
on simplifying,
x= [tex]\frac{1}{5}[/tex]
Hence, the missing number is [tex]\frac{1}{5}[/tex]
What is cross multiplying?
An equation involving a variable as a component of two fractions set equal to one another can be solved by cross multiplying. Cross-multiplying lowers the proportion to one straightforward equation, enabling you to solve for the variable in issue. The variable serves as a placeholder for an unknowable number or quantity.
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if traingle PAG is comgruent to riangle DEN, use words numbers and or symbols to state two conclsuions that can be made based upon cpctc
write 987.6 in scientific notation
987.6 million written in scientific notation is 9.876 × [tex]10^{8}[/tex]
What is scientific notation?
Scientific notation is basically a shortcut for writing numbers. It is a method of expressing real numbers in terms of a significand, multiplied by a power of 10.
When using scientific notation, you're allowed to simplify all the zeros that you have in the number by writing the number as a product of a number and a power of 10. 987.6 million in exponential form is [tex]a^{b}[/tex], a is the base, and b is called the exponent . The term [tex]a^{b}[/tex] is called the exponential expression. 987.6 million = 9.876 x 100,000,000 = 9.876 ×[tex]10^{8}[/tex].
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What values of b and c make AGHI AZYX?
G
b
||
CE
48
I
b
H
X
17
Y
8c
Z
The value of b = 17 and c = 6 makes ΔGHI ≅ ΔZYX.
What is congruence?
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.
If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.
Here, we have
Given the sides of both the triangle and
we have to find the value of b and c that makes ΔGHI ≅ ΔZYX
b = 17 and,
48 = 8c
c = 6
Hence, the value of b = 17 and c = 6 that makes ΔGHI ≅ ΔZYX.
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5. Which of the following is an arithmetic
sequence?
A
B
C
D
-2, -5, -8, -11, -14, -17, ...
0,5, 0, 10, 0, 15, ...
2, 4, 8, 16, 32, ...
5, 11, 17, 23, 29, 36, ...
Answer:
A. -2, -5, -8, -11, -14, -17, ...
Step-by-step explanation:
The difference between consecutive terms is constant.
I have this question can anyone solve
The double bar graph collected from the survey is given by the image presented at the end of the answer.
How to build the double bar graph?A bar graph shows the number of times that each observation appears in the data-set.
The double bar graph means that for each input on the bar graph, there are going to be two bars.
The meaning of each bar is given as follows:
Number of people who like watching the sport.Number of people who like participating in the sport.The colors for each bar are given as follows:
blue bar: people who like watching the sport.red bar: people who like participating in the sport.Then the data of the table is used to give the height of each bin in the double bar graph.
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Go step by step to reduce the radical
Answer:
[tex]3 \sqrt{8} [/tex]
Step-by-step explanation:
1. we are find which factors which when multiplied will give us 192
2. so i took 3 and 64
3. now square root both factors
like this
[tex] \sqrt{3} \times \sqrt{64} [/tex]
4. then you will be left with 3 and a 8
so then we will write that as the answer given above
In the equation y=x2+2x+5 what is the value for y when x equals 3?
The value of y in the equation y=x2+2x+5 when x=3 is y= 20
SimplifySimplifying algebraic expressions is the same idea, except you have variables (or letters) in your expression.
simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving
y=x^2+2x+5
mathematically, x=3
substitute the valve of x=3 into the equation
y= 3^2 + 2(3) + 5
y= (3x3) + 2(3) +5
Evaluate the value of y by adding the numbers together
y= 9 + 6+ 5
y= 20
Therefore, the value of y in the equation y=x^2+2x+5 is 20
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What is the m∠ c? Enter your answer as a number.
The measure of angle c is m ∠c = 103°.
What is triangle?
Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The designation "triangle ABC" refers to a triangle with the vertices A, B, and C. When three points are non-collinear in Euclidean geometry, they each produce a distinct triangle and plane.
180 degrees is the sum of the triangle's three angles.
Let Δabc is given with m ∠a = 30° and m ∠b = 37°
We have to find the measure of angle c.
Since the sum of three angles of triangle is 180 degree.
⇒ m ∠a + m b + m ∠c = 180°
30° + 37° + m ∠c = 180°
77° + m ∠c = 180°
m ∠c = 180°- 77°
m ∠c = 103°
Hence, the measure of angle c is m ∠c = 103°.
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what is infinity times infinity (it was a bonus question)
Answer: infinity
Step-by-step explanation:
help me solve this asap emergency
Answer:
a. -4
b. 1/4
Step-by-step explanation:
a. [tex]\textrm{slope}_{||} = \dfrac{\textrm{rise}}{\textrm{run}} = \dfrac{-4}{1} = -4[/tex]
b. [tex]\textrm{slope}_\perp = \dfrac{-1}{\textrm{slope}_{||}} = \dfrac{-1}{-4} = \dfrac{1}{4}[/tex]
12. A typical large recycling tote can hold 10 kilograms of plastic yogurt containers. What volume is
needed to hold this amount of plastic?
A typical large recycling tote can hold 10 kilograms of plastic yogurt containers. the volume is 0.01 m^3
What volume is needed to hold this amount of plastic?Generally, To determine the volume needed to hold 10 kilograms of plastic yogurt containers, you would need to know the density of the plastic and the size and shape of the containers.
The density of a material is a measure of its mass per unit volume. It is usually expressed in kilograms per cubic meter (kg/m^3). The density of plastic can vary depending on the specific type of plastic and any additives that are present.
Once you know the density of the plastic, you can use the following formula to calculate the volume needed to hold a certain mass of the material:
Volume = Mass / Density
For example, if the density of the plastic is 1000 kg/m^3 and you want to hold 10 kilograms of it, the volume needed would be:
Volume = 10 kg / 1000 kg/m^3
Volume = 0.01 m^3
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THE COMPLETE QUESTION WAS NOT FOUND
s: One skis fast.
Express the statement One does not ski fast symbolically.
The given statement can be expressed as ~S.
What is a negation of a statement?
A negation of a statement is a statement that is the opposite of the original statement. In other words, a negation of a statement is a statement that is true if and only if the original statement is false, and vice versa.
To express the statement "One does not ski fast" symbolically, we can use the negation symbol
Using the symbol "S to represent the statement "One skis fast", we can express the statement "One does not ski fast" symbolically as:
~S
This can be read as "Not S" or "It is not the case that S."
Hence, the given statement can be expressed as ~S.
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A kangaroo hopped directly toward a lake at a constant velocity for 30seconds. In one-third of that time, the kangaroo hopped 60meters. What was the kangaroo's velocity?
Answer: The animal hopped 60 meters in 10 seconds
6 m/s (lol)
Step-by-step explanation:
First off ok and second off bye <3
Problem 5 Claire is planning to buy a phone plan for two cell phones that costs $350 for the phones themselves and $65 per month for service. Claire's daughter offers to chip in $125 for her phone and $12 per month for her phone. Write as many expressions as you can to represent the cost to Claire of the two phones and their service for m months.
The cost to Claire for the phones and their service for m months is $350 + $65*m.
The cost to Claire for the two phones is $350, and the cost for the service for m months is $65m, for a total cost of $350 + $65m.
What are expressions to represent the cost to Claire?Generally, Claire will pay a total of $350 + $65*m for the two phones and their service for m months.
The total cost for Claire for the two phones and their service for m months is $350 + $65*m.
The cost of the phones and service for m months to Claire is $350 + $65*m.
Claire will pay $350 for the phones and $65m for the service for a total of $350 + $65m for m months.
The cost to Claire for the two phones and their service for m months is $350 + m*$65.
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which statement must be true?
Answer:
DF=FE
Step-by-step explanation:
first to make it easier we can find the angles to each side
the sum of all angles of a triangle equal 180 degrees so to find x we set all the angles equal to 180
(3x+5)+(4x-15)+(2x+10)=180
9x+0=180
/9. /9
x=20
now we can find each angle
3(20)+5
60+5
D=65 degrees
4(20)-15
80-15
E= 65 degrees
2(20)+10
40+10
F=50 degrees
Angle D and E are the only angles equal to each other so answer C and d ARE INCORRECT
Since there are 2 of the same angles this is an isosceles triangle
the 2 of the same angles are the base so the side going up are connecting to the top angle F so the sides will be DF and FE and these are equal
hopes this helps
Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50
The number of boxes of sugar that Alonso can buy are 4.5 boxes.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money.
The money remaining after buying 12 eggs : {r} = $(55 -2.75).
Cost of one box of sugar = $11.5
The number of boxes that he can buy are -
n = (55 - 2.75)/11.5
n = 4.5 boxes {approx.}
Therefore, the number of boxes of sugar that Alonso can buy are 4.5 boxes.
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A circle has a diameter of 14 inches. A central angle of 85° intercepts an arc of the circle.
What is the intercepted arc length to the nearest tenth of an inch?
The intercepted arc measures 11.78 to the closest tenth of an inch.
What is intercepted arc?Remember that an arc is a portion of a circle's circumference.
Therefore, an intercepted arc is an arc that is created when one or more chords or line segments intersect a circle and come together at a vertex.
It's vital to keep in mind that the lines or chords can come together inside, outside, or in the center of a circle.
An interrupted arc and the inscribed and central angles of a circle have some intriguing correlations.
An inscribed angle is created in geometry between chords or lines that cut through a circle.
The center angle is a joint created by the intersection of two radii.
According to our question-
angel/360=arc/circumference
85/360=
d= 14 inches
Hence, The intercepted arc measures 11.78 to the closest tenth of an inch.
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True or false. When y is positive, the value of y^2 is always greater than the value of y. Why?
however if you have 0.5^2 which is 0.25 is that not smaller than 0.5
Answer: False
Step-by-step explanation:
If [tex]y=0.5[/tex], then [tex]y^2=0.25[/tex], whereas [tex]y=0.5[/tex].
Therefore, this is a counterexample. Hence, the statement is false.
We need help please.
Answer:
The slope is 3 or 3/1.
Step-by-step explanation:
I figure this out by finding out the two beginning points with this: (x1, y1) , (x2, y2). The two beginning points (-3, -5) , ( -2,-2). Then from there you are counting by 3 to get to the next point. I hope this helps.
What is the area of triangle lmn? round to the nearest square meter. 3 square meters 9 square meters 28 square meters 34 square meters
9 square meters is the area of triangle LMN. Using the concept of Heron's formula.
What is Heron's formula?Heron of Alexandria is credited with creating Heron's formula, which determines a triangle's area by dividing the lengths of its sides. if the side lengths are represented in symbols by a, b, and c.
According to Heron's formula the area = √s (s - a)(s - b)(s - c)
A triangle's semi-perimeter, whose area has to be calculated, is represented by the letter s in Heron's formula. s = (a+b+c)/2 is the formula for the triangle's semi-perimeter, which is the sum of its three sides.
a triangle with three sides, a, b, and c.
given data was LM = 7,MN = 6 and perimeter was given by 16m
As we know perimeter is the sum of all the sides
so, Perimeter=LM + MN + NL
NL=Perimeter-(LM+MN)
NL=16 - 7 - 6
NL= 3
By Heron's formula,
Area = √[(s(s-a)(s-b)(s-c)].
where s = perimeter/2
so, s = 16/2 = 8
area = √[(8(8-7)(8-6)(8-3)]
area = 8.94427191 ≈ 9 square meters.
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Answer: 9m
Step-by-step explanation:
what is the slope if the line that passes through the points (10,8) and (7,14)? write your answer in simplest form
Answer:
-2
Step-by-step explanation:
we use the y2-y1/x2-x1 fomrula to find slope
14-8/7-10
6/-3
-2 is the slope
hopes this helps
Just answer it, dont have to show work
The equations that are false for all real numbers of x are given as follows:
x² + 4 = 0.square root of x - 1 = -2.2(x - 4) = 2x - 4.How to obtain the equations which are false?To obtain the equations which are false, we have to consider the domain and the range of the functions in this problem.
We start at the first equation, given as follows:
x² + 4 = 0.
Isolating x², we have that:
x² = -4.
However, the range of the function y = x² is composed only by non-negative numbers, meaning that y = x² will never assume a value of -4, meaning that this statement is false for all real numbers.
The same holds true for the third item, which is the square root of x - 1 = -2. The range of the square root function is also composed by non-negative numbers, thus the statement is also false for all real numbers.
The final statement that is false is given as follows:
2(x - 4) = 2x - 4.
Applying the distributive property, we have that:
2x - 8 = 2x - 4
0x = 4
x = 4/0 (division by zero does not exist on the real set).
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Solve for j
1 - j/4 = 3
Answer:
j = - 8
Step-by-step explanation:
1 - j/4 - 3
1 is also 4/4
so
4/4 - j/4 = 3
4 - j/ 4= 3
multiply by 4 on both sides
which gets you
-j + 4 = 12
minus 4 from both sides
-j = 8
j = -8
Answer:j=-8 I hope this helps
Step-by-step explanation:
1-j/4=3
Multiply both sides of the equation by 4
which gives you
4-j=12
Move the constant to the right-hand side and change its sign
-j=12-4
Subtract the numbers
-j=8
Change the signs on both sides of the equation
j=-8 - This is your answer
Create three addition expressions with unlike denominators that are equivalent to the expression below:
6/12+3/12
Answer:
Step-by-step explanation:
3/6 + 1/4, 6/12 + 3/12, 12/24 + 6/24, 18/36 + 9/36
Which is the equation for a line that passes through
the points (-6, -13) and (-12, 5)?
Answer:
y = -3x - 31
Step-by-step explanation:
y = mx + b
[tex] m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
[tex] m=\frac{5-(-13)}{-12-(-6)} [/tex]
[tex] m=\frac{18}{-6} [/tex]
m = -3
y = -3x + b
-13 = -3(-6) + b
-13 = 18 + b
b = -13 - 18
b = -31
Number 49. Please help Graphing inequalities? Why is the answer A? Please do a step by step explanation for each answer choice.
I don't see the picture. Can you send it in the message.
Insert terms to make a identity replace *
(15x+*)^2=225x^2+90xy+*
Answer:
3y, 9y²
Step-by-step explanation:
We use laws of binomial
(a+b)²=a²+2ab+b²
From this, we get
15x × * × 2 = 90xy
2×*=6y
*=3y
Now, we square this term to get the last term
3y×3y=9y²
