What is the equation of g(x)?
O g(x) = 10x - 3
Og(x) = 10x +3
O g(x) = 10x - 3
Og(x) = 10 + 3
Answers
The function g(x) of graph has the following equation: g(x) = (10)ˣ⁻³
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
Two functions' graphs, f(x) and g, are provided to us (x).
The exponential function f(x) is defined as follows: f(x) = (10)ˣ
Finding the equation for the converted function g is now required of us (x).
The graph of the function g(x) may be shown to travel through the points (3,1), (4,10), (5,100), and so forth.
This indicates that the following is the equation or expression for the function g(x):
g(x) = (10)ˣ⁻³
Given that we have g(x) for x=3 , (10) ³⁻³
When x=4, we obtain g(x) = (10) ⁴⁻³
g(x) = (10)¹
g(x) = 10
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Related Questions
Given the inequality 6x ≤ 18, determine the value of x.
S:{26}
S:{14}
S:{7}
S:{3}
Answers
To find the answer divide 6 by 6 and 18 by 6
The value of x in the given inequality 6x ≤ 18, is S:3 out of all the given options.
The correct answer is S:3.
To solve for x, we divide both sides of the inequality by 6. When dividing by a negative number, we flip the direction of the inequality sign. This gives us x ≤ 3.
Therefore, the possible values of x are 3, 2, 1, 0, and so on. The answer can not be 26, 14, or 7, because those values would make x greater than 3.
Here is the solution in steps:
6x ≤ 18
6x/6 ≤ 18/6 (divide both sides by 6)
x ≤ 3
Therefore, the value of x is 3.
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A mixture of juices in a punch had 1.1 L of pineapple juice for every 0.4 L of orange juice. Sarah wanted the punch to taste more orangey, so she added 0.3 L of orange juice but no pineapple juice. Now the ratio of juices was 1.1 L of pineapple juice for every 0.5 L of orange juice. How many litres of punch did Sarah have now
Answers
The litres of punch with Sarah is 4.8 L.
The mixture of juices in the punch had 1.1 L of pineapple juice for every 0.4 L of orange juice.
The ratio of the amount of pineapple juice to the orange juice is 1.1:0.4.
The initial amount of pineapple juice is 1.1x.
The initial amount of orange juice is 0.4x.
The amount of orange juice added to the punch is 0.3 L.
The new ratio of the amount of pineapple juice to the orange juice is 1.1:0.5.
The final amount of pineapple juice is 1.1x.
The final amount of orange juice is 0.4x + 0.3.
(1.1x)/(0.4x + 0.3) = 1.1/0.5
0.5x = 0.4x + 0.3
0.1x = 0.3
x = 3
The amount of punch Sarah has now is the total amount of pineapple and orange juice.
The amount of punch is given below :
A = 1.1x + (0.4x + 0.3)
A = 1.5x + 0.3
A = 1.5(3) + 0.3
A = 4.5 + 0.3
A = 4.8
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The math club budgeted $700 for their pancake breakfast. Each meal costs $2.75 to prepare. They also need to rent a place to have this event. The renting place fee is $25. Write an inequality that represents the number of meals that can be prepared without going over the budget. How many maximum meals can they prepare?
Answers
Answer:
2.75x + 25 ≤ 700
Step-by-step explanation:
10+5x= 2+5x+1
What is the answer for x??
Answers
In this equation, x will be 0.
Define equation.In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities. Based on the degree, there are three different sorts of equations. Equations that are linear, quadratic, and cubic. In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance. Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations.
Given data
10+5x= 2+5x+1
Solving for x,
10+5x= 2+5x+1
5x - 5x = 1+2 - 10
x = 0
In this equation, x will be 0.
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Is 631,992 divisible by 6?
Answers
Answer:yes
Step-by-step explanation:
105332
but you can't anymore after that
Answer:
yes it is divisible by 6.
Here are the first 4 terms in the sequences
3,9,15,21
next term=27
explain how you got the answer
Answers
A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.
An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15. Given that each term has a common difference, this is an arithmetic sequence.
In this instance, the result is obtained by adding 6 6 to the prior term in the sequence.
What is the arithmetic progression formula?
a {n}=a {1}+(n-1) The nth term in the series is d a n.
The first term in the sequence is a 1.
d is the common distinction between the terms.
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Determine the area of the shaded region of the figure. 5 cm 9 cm 12 cm 6 cm 4 cm
Answers
Use inverse trigonometric functions to solve the following equations. If there is more than one solution, enter all solutions as a comma-separated list (like "1, 3"). If an equation has no solutions, enter "DNE".Solve 7tan(θ)=−15 for θ (where 0≤θ<2π).θ=
Answers
ANSWER:
[tex]\theta=-1.13416,2.00743[/tex]STEP-BY-STEP EXPLANATION:
We have the following function
[tex]\begin{gathered} 7\cdot\tan (\theta)=-15 \\ 0\leq\theta<2\pi \end{gathered}[/tex]Solving for θ:
[tex]\begin{gathered} 7\cdot\tan (\theta)=-15 \\ \tan (\theta)=-\frac{15}{7} \\ \tan (\theta)=-\frac{15}{7} \\ \theta=\arctan (-\frac{15}{7}) \\ \theta_1=-1.13416 \\ \theta_2=2.00743 \end{gathered}[/tex]FH is tangent to circle E at point F.
What is the measure of ZEFH?
80°
90°
160°
• 180°
Answers
Answer:
90°
Step-by-step explanation:
the angle between a tangent and the radius at the point of contact on the circle is a right angle, then
∠ EFH = 90°
Graph y= –3x+4 please and thank you
Answers
Answer:
Step-by-step explanation:
Hope this helps sorry if I'm not right
A pizza can be shared by (y + 3) friends. If there are (y2 + 6y + 9) pizzas, which expression represents each friend’s share?and 2 + 6 and + 9y + 3y - 3(y + 3)(y - 3)
Answers
In order to find each friend's share, we need to divide the total amount of pizza by the number of friends.
The total pizza is y² + 6y + 9, and the number of friends is y + 3, so we have:
[tex]\frac{y^2+6y+9}{y+3}=\frac{(y+3)^2}{y+3}=y+3[/tex]Therefore the correct option is the second one: y + 3.
what should be subtracted from the sum of ( 5/6 + -2/3 ) to get 3/4?
Answers
-7/12 should be subtracted from the sum of ( 5/6 + -2/3 ) to get 3/4.
Linear equations in one variable
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
For example, 2x+3=8 is a linear equation having a single variable in it.
Let x should be subtracted from the sum of ( 5/6 + -2/3 ) to get 3/4
Therefore
[ 5/6 + (-2/3 ] - x = 3/4
⇒ ( 5/6 - 2/3) - x = 3/4
⇒ ( 5/6 - 4/6) - x = 3/4
⇒ 1/6 - x = 3/4
⇒ x = 1/6 - 3/4
⇒ x = 4/24 - 18/24
⇒ x = -14/24
⇒ x = -7/12
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Mary’s credit card company charges 16% interest on her outstanding credit card balance each month. Her minimum payment is $20 each month. Mary’s credit card bill is $70 in January.
Mary only pays the minimum amount each month, and she does not spend any additional money on her credit card. How long, in months, will it take her to pay off her bill from January?
Answers
It will take Mary 3.6 months (The period will occur in April.) from January to pay off her bill of $70 if she continues to pay $20 per month.
How is the period determined?The period Mary will take to pay off her credit card balance is determined using an online finance calculator.
The input data required includes the interest rate, the present value of the bill, and the periodic payments.
I/Y (Interest per year) = 16%
PV (Present Value) = $70
PMT (Periodic Payment) = $-20
FV (Future Value) = $0
Results:
N = 3.608
Sum of all periodic payments = $-72.16
Total Interest = $2.16
Thus, Mary requires 3.6 months to pay off her credit card balance, which will occur in period 4 from January.
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need this asap 50 points if its correct + brainiest
Answers
Kendra is buying new shoes that normally cost 78.95. She has a coupon to save 35%.. What is the sale price?
Please help me with this!
Answers
The sale price for Kendra's purchase is 51.3175 dollars.
How to find the sale price of a purchase?Kendra is buying new shoes that normally cost 78.95 dollars.
She has a coupon to save 35%.
Therefore, let's calculate the sale price of her purchase.
A sale price is the discounted price at which goods or services are being sold.
The sale price is the price after the original price has been reduced by a discount.
Therefore,
sale price = 78.95 - 35% of 78.95
sale price = 78.95 - 35 / 100 × 78.95
sale price = 78.95 - 2763.25 / 100
sale price = 78.95 - 27.6325
Therefore,
sale price = 51.3175 dollars
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95 = e + 36 what’s the answer
Answers
Answer: e = 59
Step-by-step explanation:
State if the two triangles are congruent. If they are, state the congruence property. If they are not congruent, you do not need to write in the property. 10.Congruent? ___________ If so, what property? ________11.Congruent? ___________ If so, what property? ________
Answers
Answer:
The image for number 10 is shown below as
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Write 4 1 /9 as an improper fraction.
Answers
Answer: 37/9
Step-by-step explanation:
1. Multiply the whole number by the denominator
4 × 9 = 36
2. Add the product from Step 1 to the numerator
36 + 1 = 37
3. Write answer from Step 2 over the denominator
37/9
Answer:
[tex]\frac{37}{9}[/tex]
Step-by-step explanation:
Improper fractions are fractions in which the numerator is greater than the denominator. To convert a mixed number to an improper fraction you multiply the whole number by the denominator.
So once you do that you will have [tex]\frac{36}{9}[/tex].
However, this isn't complete just yet. You now need to add the numerator you had before, this can be written as [tex]\frac{36}{9} + \frac{1}{9}[/tex].
Now you just solve and you'll end up with [tex]\frac{37}{9}[/tex].
Find the slope of the line through each pair of points (2,1),(6,6)
Answers
The slope of the line passing through the points (2, 1) and (6, 6) will be;
⇒ m = 5 / 4
What is Equation of line?
The equation of line with slope m and passes through the point
(x₁, y₁) is;
⇒ y - y₁ = m (x - x₁).
Given that;
The points on the line are (2, 1) and (6, 6).
Now,
Since, The slope of the line passing through the two points (x₁, y₁) and (x₂, y₂) will be;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Hence, The slope of the line passing through the points (2, 1) and (6, 6) will be calculated as;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (6 - 1) / (6 - 2)
⇒ m = 5 / 4
Therefore, The slope of the line passing through the points (2, 1) and
(6, 6) will be;
⇒ m = 5 / 4
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Consider the probability that at least 35 out of 313 students will not pass their college placement exams.Choose the best description of the area under the normal curve that would be used to approximate binomial probability.a ) area to the right of 34.5b) area to the right of 35.5c) area to the left of 34.5d) area to the right of 35.5e) area between 34.5 and 35.5
Answers
Answer:
Explanation:
the student council to break even?
#. Justin and his sister Jayme are candying apples for their class parties. Justin has candied 15 apples
and is finishing them at a rate of 4 apples per hour Jayme has 10 apples candied and is finishing them
at a rate of 5 apples per hour. Once the siblings get to the point where they have candied the same
amount of apples they will stop for the day. How long will that take? How many candied apples will
they have altogether?
Answers
Answer:
Step-by-step explanation:
5 hours, 70 apples all together
9) Simplify and name the resulting expressions according to the number of terms:
(Monomial, Binomial, Trinomial, Polynomial)
a) 2a-5a²-7a+ 9-3a²+ 10+8a³-13 + 7a
Answers
The given polynomial expression is Trinomial and the expression is 8a³-8a² +2a + 6.
What is polynomial expression?
In mathematics, the polynomial expression based on the degree of the equation. It is classified as monomial or binomial depending upon the highest power of the variable in the quadratic equation.
According to the question, the given polynomial expression for the simplification is as follows:
Expression: 2a-5a²-7a+ 9-3a²+ 10+8a³-13 + 7a
Rearranging the terms to check the polynomial degree of the equation:
Expression: 8a³-3a² -5a² +2a - 7a + 7a + 9 + 10 -13
Expression: 8a³-8a² +2a + 6
Hence, the given polynomial expression is Trinomial and the expression is 8a³-8a² +2a + 6.
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Very easy 7th grade math please answer both questions 60 points!!!!
Answers
Answer:28. gcf is 5 29 2n-12
Step-by-step explanation:
use the properties of logarithms to expand the following expression as much as possible.
Answers
1. Factor the expression in parenthesis:
[tex]\begin{gathered} 2x^2+8x+8 \\ \\ =2(x^2+4x+4) \\ =2(x+2)\placeholder{⬚}^2 \end{gathered}[/tex]2. Rewrite the expression using the factors above:
[tex]\log_2(2(x+2)\placeholder{⬚}^2)[/tex]3. Use the next properties to expand the expression:
[tex]\begin{gathered} \log_a(x*y)=\log_ax+\log_ay \\ \log_aa=\frac{\log_a}{\log_a}=1 \\ \log_a(b^c)=c*\log_ab \end{gathered}[/tex][tex]\begin{gathered} \log_2(2(x+2)\placeholder{⬚}^2) \\ =\log_22+\log_2((x+2)\placeholder{⬚}^2) \\ =1+2\log_2(x+2) \end{gathered}[/tex]Then, the given expression is equal to:[tex]\log_2(2x^2+8x+8)=1+2\log_2(x+2)[/tex]to go to sleep, oliver counted by $6$s starting from $15$. thus the first few numbers he named were $$15,21,27,33,\ldots~.$$the last number he named before he fell asleep was $363$. how many numbers did oliver name?
Answers
The numbers that Oliver named are 59 in total.
If he named 1 number, the last number that he called would be 15
If he named 2 numbers, still the last number that he called would be 15 + 6 = 21
If he named 3 numbers, the last number that he called would be 15 + 6 + 6 = 27
If he named 4 numbers, the last number that he called would be 15 + 6 + 6 + 6 which is 15 + 6(4 - 1)
So, if he named n numbers, the last number that he named would be 15 + 6(n - 1)
According to the data given in the question, the last number he called was 363.
So, we can say,
363 = 15 + 6(n - 1), Subtract 15 on both sides.
348 = 6(n - 1), Divide both sides with 6.
58 = n - 1, now, Add 1 to both sides,
we get.,
59 = n
Hence, Oliver has named 59 numbers.
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Answer:
59
Step-by-step explanation:
If we subtract 9 from each number Oliver named, we get the new list6, 12, 18, 24, ..., 354,which consists of the multiples of 6 from 1 ∙ 6 through 59 ∙ 6. There are clearly 59 of these, so Oliver named 59 numbers (namely: 1 ∙ 6 + 9, 2 ∙ 6 + 9, 3 ∙ 6 + 9, and so on through 59 ∙ 6 + 9).
STRUCTURE Point C lies on AB, where A(-4,-2) and B(5, 2). The distance from A to C is
one-fourth of the distance from C to B. What are the coordinates of C ?
Coordinates: CD
Answers
The coordinates of point C are (-2.2,-1.2) which are calculated by using the given condition AC = 1/4(CB).
What exactly are coordinates?The horizontal and vertical distances from the two reference axes are used to describe the position of a point on a coordinate plane. The x-value and y-value are typically represented by (x,y).Given that point C is located between points A and B and that the distance between points A and C is one-fourth of the distance between points C and B.
We need to find the co-ordinate of the point C.
Let (x,y) be the co-ordinates of point C.
For x coordinate,
AC = 1/4(CB)
-4-x = 1/4(x-5)
x+ 0.25x = -2.75
x = -2.2
For y coordinate,
AC = 1/4(CB)
-2 - y = 1/4(y - 2)
-2= 1.25 y -0.5
1.25y = -1.5
y = -1.2
Therefore, the coordinates of point C are ( -2.2,-1.2) which are calculated by the given condition AC = 1/4(CB).
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At a school party there are 40 cookies. The ratio of chocolate cookies to oatmeal cookies is shown in the tape diagram. Chocolate: 5 Oatmeal: 3How many oatmeal cookies were at the party? Oatmeal cookies
Answers
Given:
Total number of cookies = 40 cookies
Ratio of chocolate to oatmeal = 5:3
To find the number of oatmeal cookies, first sum up the ratio.
Total sum of ratio = 5 + 3 = 8
Number of oatmeal cookies will be:
[tex]\frac{ratio\text{ of oatmeal}}{\text{total ratio}}\text{ }\ast\text{ total number of cookies}[/tex][tex]\frac{3}{8\text{ }}\text{ }\ast\text{ 40 = 15}[/tex]Therefore, total number of oatmeal cookies = 15
HELP PLS ASAP
Queen Celeste was born in 1015 BC and died at the age of 48. Emperor Romanus died in 212 BC at the age of 54. For how many years were they both alive at the same time?
Answers
Answer:
None - 1063 BC and 266 BC is way too much of a gap
Step-by-step explanation:
None - 1063 BC and 266 BC is way too much of a gap
Jacob has golf scores of 120,112,130,128, and 124. he wants to have a mean, or average, golf score of 118. what score does he need in his next golf game to achieve this mean score?
Answers
Jacob needs a score of 94 in his next game to get the average or mean to be 118.
In the descriptive statistics, the mean may be confused with the median, mode, or midway since any of these might be referred to as a "average" (more formally, a measure of central tendency).
Although for skewed distributions, the mean may not be the same as the median or the value that is most likely to occur, the arithmetic mean of a collection of observations is the sum of the values (mode).Sometimes a batch of numbers will contain outliers. Outliers are frequently erroneous data that is caused by artefacts. In this case, a shorter mean can be used. After deleting specific amounts of data from either the top or bottom end, often an equal amount at either end, the process entails calculating the arithmetic average of the remaining data. The amount of values that were deleted is expressed as a percentage of the total number of values.Total score = 120 + 112 + 130 + 128 + 124 = 614
Let he scores x in his last game.
Therefore mean = (614 + x ) ÷ 6 = 118
Solving we get : x = 94.
Hence he will need top score 94 in his next game to get an average of 118 in the golf game.
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The next stop as Washington,D.C., which was 1.38 inches feather from Boston. What was the total mileage from boston to washington,D.C.?
Answers
The total mileage from Boston to washington,D.C is d + 1.38.
How to calculate the distance?Based on the information given, let the distance from Boston be illustrated as d
In this case, the next stop as Washington,D.C., which was 1.38 inches feather from Boston.
It should be noted that the expression can be illustrated as the addition of the mileage given. This will be:
= d + 1.38
Note that d illustrate the initial distance.
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