The general equation in slope intercept form is given by:
[tex] y=mx+b [/tex]
where m is the slope and b is the y intercept.
Now we are given slope as 3 and y intercept as 4, plugging these values in the slope intercept form, we get
[tex] y=3x+4 [/tex]
Now if we compare the two equations, we see that option (b) y=3x+4 matches our requirement.
So answer is the equation with slope 3 and y intercept 4 is y=3x+4.
If y represents total earnings in dollars and x represents hours worked, then which equation models the wages of someone who makes $9.50 an hour?
A. x = 950x
B. y = 950x
C. x = 9.50x
D. y = 9.50x
Answer:
Option D is correct
[tex]y = 9.50x[/tex]
Step-by-step explanation:
Here, y represents total earnings in dollars and x represents hours worked.
As per the statement:
To find which equation models the wages of someone who makes $9.50 an hour.
[tex]\text{"\$9.50 an hour"}[/tex] translated to 9.50x
then;
the total earning in dollars we get;
[tex]y = 9.50x[/tex]
Therefore, an equation [tex]y = 9.50x[/tex] models the wages of someone who makes $9.50 an hour
how many integer solutions are there to the equation x^3-5x^2+2x+13=5
What are the x-intercepts of the quadratic function? f(x)=x2+2x−24
Answer:
Just took the test the answers are -6 and 4 for anyone else wondering! :)
Step-by-step explanation:
PS. Use the site called "Desmos" and type your function in the box and just find where it crosses the x axis!
Can somebody please help me with these two problems?
1. What is the sum of the finite arithmetic series? 26 + 29 + 32 + 35 + 38 + 41 + 44
2. What is the sum of the finite arithmetic series? 7.6 + 6.3 + 5 + 3.7 + 2.4 + 1.1 + (–0.2) + (–1.5),
The sum of the finite arithmetic series 26 + 29 + ... + 44 is 245. The sum of the series 7.6 + 6.3 + ... + (-1.5) is 24.4.
To solve these problems, we will use the formula for the sum of a finite arithmetic series, which is given by S = n÷2 × (a₁ + aₙ), where S represents the sum of the series, n is the number of terms, a₁ is the first term, and aₙ is the last term.
Problem 1:
The series is: 26, 29, 32, 35, 38, 41, 44. First, we find the number of terms (n). Since the common difference (d) is 3, we have n = (44 - 26)÷3 + 1 = 7. Now, apply the formula to find the sum: S = 7÷2 × (26 + 44) = 245.
Problem 2:
The series is: 7.6, 6.3, 5, 3.7, 2.4, 1.1, -0.2, -1.5. Here, d = -1.3 and n = 8. So the sum is: S = 8÷2 × (7.6 - 1.5) = 24.4.
USING 56 POINTS PLEASE HELP! A square ceiling has a diagonal of 24 ft. Shelton wants to put molding around the perimeter of the ceiling.
How many feet of molding will he need? Round to the nearest foot.
(Thank you!!) PLEASE ROUND THE NUMBER TO THE NEAREST FOOT.
Answer:
If this is right then yw :)
Step-by-step explanation:
Find the least common multiple of x² + x – 12 and x² + 2x – 15.
A) (x + 4)(x - 3)(x + 5)
B) (x – 3)(x + 5)(x – 4)
C) (x – 4)(x – 3)(x – 5)
D) (x + 4)(x – 5)(x – 3),
The least common multiple of x² + x – 12 and x² + 2x – 15 is (x + 4)(x – 3)(x + 5), Option A is correct.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .
We need to find the least common multiple of x² + x – 12 and x² + 2x – 15.
Let us find the factor of x² + x – 12
x² + 4x -3x – 12
x(x+4)+3(x+4)
(x + 4)(x – 3)
Now let us factorize x² + 2x – 15.
x² + 5x-3x – 15.
x(x+5)-3(x+5)
(x-3)(x+5)
So, the least common multiple of x² + x – 12 and x² + 2x – 15 is (x + 4)(x – 3)(x + 5).
Hence, the least common multiple of x² + x – 12 and x² + 2x – 15 is (x + 4)(x – 3)(x + 5), Option A is correct.
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What do you ask about if you want to know the price of an item?
A. el dependiente
B. el vestido
C. el precio
D. la tienda
Please help thank you
Answer:
1. C el precio
2. C mil
3. C El abrigo y las botas cuestan doscientos dolares
4. A maya
5. C blouse
Step-by-step explanation:
PLEASE HELP!!ABCD∼EFGH
AD=30 in. , EH=50 in. , and CD=15 in.
What is GH ?
Answer: GH =25 in.
Step-by-step explanation:
Given: [tex]ABCD\sim EFGH[/tex]
We know that if two polygons are similar then their corresponding sides are proportional.
Thus, [tex]\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}[/tex]
Since, AD=30 in. , EH=50 in. , and CD=15 in.
Then we have ,
[tex]\frac{CD}{GH}=\frac{AD}{EH}\\\\\Rightarrow\frac{15}{GH}=\frac{30}{50}\\\\\Rightarrow\ GH=\frac{50\times15}{30}\\\\\Rightarrow\ GH=25\ in.[/tex]
If you want to leave an 18% tip for a waiter on a $54.35 meal, what would the total bill be?
The required total bill would be $64.134 including of 18% tip.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
According to the question,
To leave an 18% tip for a waiter on a $54.35 meal,
Total bill = 54.35 + 18% of 54.35
= 54.35 [1 + 0.18]
= 54.35 (1.18) = 64.134
Thus, the required total bill would be $64.134.
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Find the percent of discount. Round to nearest tenth.
Original price $24,365; selling price $16,820
The masses of four planets in a solar system outside the Milky Way are given below.
Mass of Planet A: 5.97 × 10^24 kg
Mass of Planet B: 3.30 × 10^23 kg
Mass of Planet C: 1.89 × 10^27 kg
Mass of Planet D: 4.87 × 10^24 kg
What is the order of these planets from least to greatest mass?
-Planet C, Planet B, Planet D, Planet A
-Planet C, Planet A, Planet D, Planet B
-Planet B, Planet D, Planet A, Planet C
-Planet A, Planet D, Planet B, Planet C
HEY PEOPLE NEED HELP WITH 2 QUESTION PLZ ANSWER
This figure shows circle C with diameter LM and inscribed ∠LMN .
m∠LMN=32°
What is the measure of arc LMN?
Enter your answer in the box.
Answer:
[tex]296^{\circ}[/tex]
Step-by-step explanation:
It is given that figure shows circle C with diameter LM and inscribed ∠LMN and m∠LMN=32° .
We know that the angle formed at the center is double the angle formed on the vertex that is an inscribed angle, thus on joining NC, we have
[tex]{\angle}NCL=2({\angle}LMN)[/tex]
Substituting the given values, we have
[tex]{\angle}NCL=2(32^{\circ})[/tex]
[tex]{\angle}NCL=64^{\circ}[/tex]
Now, [tex]minor{\angle}LCN+major{\angle}LCN=360^{\circ}[/tex] (complete angle)
[tex]major{\angle}LCN=296^{\circ}[/tex]
Therefore, the measure of the arc LMN is [tex]296^{\circ}[/tex].
A company is considering adding a new ingredient to its bread recipe to increase the freshness of the bread. To study the impact of adding ingredient P, Q, R, S, or T to the recipe, they baked 270 loaves of bread. Some of the loaves contained no extra ingredients, while each of the rest contained one of the five new ingredients. The freshness of the bread was checked one week later, and the results were used to create the two-way tables below.
Which tables suggest an association between adding an extra ingredient and the freshness of the bread? Check all that apply.
(Tables Below)
Answer:
Effect of ingrediant R on freshness
Effect of Ingredient S on freshness
Effect of ingrediant T on freshness
Step-by-step explanation:
X Effect of ingrediant P on freshness
X Effect of ingrediant Q on freshness
* Effect of ingrediant R on freshness
* Effect of Ingredient S on freshness
* Effect of ingrediant T on freshness
Answer on edge
25 POINTS PLEASE HELPIf the fifth term of an arithmetic sequence is 11 and the common difference is 4, then the sixth term of the sequence is.
The sixth term of an arithmetic sequence, with a fifth term of 11 and a common difference of 4, is calculated to be 15.
Explanation:The student's question is about determining the sixth term of an arithmetic sequence when the fifth term and the common difference are given. The fifth term is 11, and the common difference is 4. To find the sixth term, we follow the definition of an arithmetic sequence where each term is equal to the previous term plus the common difference.
Arithmetic sequence formula
:
Tn = T(n-1) + d
Where:
Tn is the nth termT(n-1) is the previous termd is the common differenceApplying this formula to find the sixth term:
Sixth term = Fifth term + Common difference
= 11 + 4
= 15
Therefore, the sixth term of the sequence is 15.
What is the angle for a and b
Preform the indicated operation. Then choose the best answer. 27.7 x 1.9
The graph is supposed to show f(x)=3sin(x/4+1)-1/2. Which of the following are correctly represented in the graph? Select all that apply. (2 answers)
a. the amplitude
b. the vertical shift
c. the horizontal shift
d. the period
e. the horizontal expansion or compression
Answer:
a , b, c are only applicable in graph.
Step-by-step explanation:
Given : The function [tex]f(x)=3sin(\frac{x}{4}+1)-\frac{1}{2}[/tex]
To find : Which of the following are correctly represented in the graph?
Solution :
General form of sin function is [tex]y=A sin(B(x-C)+D[/tex]
Where A is the amplitude
[tex]B=\frac{2\pi}{\text{Period}}[/tex]
D is the vertical shift.
C is the horizontal shift or phase shift.
Comparing with the general form:
[tex]f(x)=3sin(\frac{x}{4}+1)-\frac{1}{2}[/tex]
Transform little bit we get,
[tex]f(x)=3sin(\frac{1}{4}(x-(-4)))-\frac{1}{2}[/tex]
a. Amplitude is [tex]A=3[/tex]
It is correct.
b. Vertical shift is [tex]D= -\frac{1}{2}[/tex]
it is correct.
c. Horizontal shift [tex]C=-4[/tex]
It is correct.
d. Period is [tex]P=\frac{2\pi}{B}[/tex]
[tex]P=\frac{2\pi}{\frac{1}{4}}[/tex]
[tex]P=8\pi[/tex]
It is not correct .
Actual period in graph is [tex]2\pi[/tex]
e. The horizontal expansion or compression
It also not correct because period is not correct.
The expansion and compression depends on the period.
Therefore, a , b, c are only applicable in the graph.
Riya is applying to her garden.She applies it at a rate of 25 ,000 cm^3 of mulch for every m^2 of garden space. At what rate is ray applying mulch in m^3/m^2
Riya is applying mulch at a rate of 0.025 m^3/m^2 after converting the original rate of 25,000 cm^3/m^2 to cubic meters per square meters.
Explanation:To find out the rate at which Riya is applying mulch in m^3/m^2, you first need to convert the given value from cubic centimeters (cm^3) to cubic meters (m^3). We know that 1 m = 100 cm, so 1 m^3 = 100 cm * 100 cm * 100 cm = 1,000,000 cm^3. Therefore, we need to divide the given value by 1,000,000 to convert it from cm^3 to m^3. So, if Riya applies 25,000 cm^3 of mulch for every m^2 of garden space, this is equivalent to 25,000/1,000,000 = 0.025 m^3/m^2.
In conclusion, Riya is applying mulch at a rate of 0.025 m^3/m^2.
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In P.E class, Janie ran 5 kilometers in 19 minutes 15 seconds. Based on this information, what was the constant of proportionality?
FAN AND MEDAL: NEED HELP PLEASE! Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received.
x - 62,500 = 0.25y
If a total of 125,000 people voted, how many votes did Maya receive? Do not enter comma for placeholder values.,
Maya recived exactly 93750 votes
How do you get 90 dollars per 5 hours to 180 dollars to BLANK amount of hours with the numbers of 10,15,45,216,360 to choose from?????
A conservation determines that a particular beach is eroding at a rate of 1.1% each year. When writing an explicit formula to represent the amount of beach remaining each year, which value should she use as the common ratio?
Answer:
0.989
Step-by-step explanation:
A conservationist determines that a particular beach is eroding at a rate of 1.1% each year. When writing an explicit formula to represent the amount of beach remaining each year, the common ratio is 0.989
The required explicit formula to represent the amount of beach remaining each year will be y = a(0.011)^x
Exponential functionsExponential functions are inverse of trigonometry functions. The standard form of exponential function is expressed as:
y = ab^x
b is the rate
Given;
Rate = 1.1% = 0.011
The required explicit formula to represent the amount of beach remaining each year will be y = a(0.011)^x
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Solve 2 log 2x = 4. Round to the nearest thousandth if necessary
Answer:
For [tex]2log2x=4[/tex] , x = 50
Step-by-step explanation:
Given : [tex]2log2x=4[/tex]
We have to find the value of x.
Consider the given [tex]2log2x=4[/tex]
Divide both side by 2, we have,
[tex]\frac{2\log _{10}\left(2x\right)}{2}=\frac{4}{2}[/tex]
Simplify, we have,
[tex]\log _{10}\left(2x\right)=2[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \:a=\log _b\left(b^a\right)[/tex]
[tex]2=\log _{10}\left(10^2\right)=\log _{10}\left(100\right)[/tex]
[tex]\log _{10}\left(2x\right)=\log _{10}\left(100\right)[/tex]
When log have same base, we have,
[tex]\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\quad \Rightarrow \quad f\left(x\right)=g\left(x\right)[/tex]
We have,
[tex]2x=100[/tex]
Divide both side by 2, we have,
[tex]x=50[/tex]
Thus, For [tex]2log2x=4[/tex] , x = 50
Is the product of 2/5 and 5 greater or less than 2/5? Is it greater or less than 5? explain your reasoning.
If AB=6and AC=8, which statement will justify similarity by SAS?
f is between e and g, EF=7 and FG=6. find EG
The measure of line segment EG is 13 cm.
Given that, F is between E and G, EF=7 and FG=6.
We need to find the measure of EG.
What is a line segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions. In this lesson, we will learn more about a line segment, its symbol, and the way to measure a line segment.
Now, EG=EF+FG
⇒EG=7+6=13 cm
Therefore, the measure of line segment EG is 13 cm.
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Find the value of 'm' if (-m,2) is a solution of equation 4x+9y-6=0
How can you minimize the risk from your investments?
A.) By investing in a stock with the highest volatility.
B.) By investing in a stock with maximum returns.
C.) By investing in a variety of investment options.
Will fan and medal,
You can minimize the risk from your investments by investing in a variety of investment options. The variety of your investments will reduce the overall risk from your investments by purchasing variety of investments in different sectors of the economy. Your investment portfolio should contain different types of investments so that the risk would be spread to these investments.
By investing in a variety of investment options will minimize the risk from your investments.
What is Investment?Investment is the dedication of money to purchase of an asset to attain an increase in value over a period of time
We need to find in which way we can minimize the risk from your investments.
Before you begin to invest, think about what returns you’re realistically expecting and be clear on what your investment goals are.
The greater the potential returns, the higher the level of risk.
The variety of your investments will reduce the overall risk from your investments by purchasing variety of investments in different sectors of the economy.
So one can minimize the risk from your investments by investing in a variety of investment options. Your investment should contain different types of investments so that the risk would be spread to these investments.
Hence, By investing in a variety of investment options will minimize the risk from your investments.
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need help please!! thanks