Which is the equation of the graphed line written in standard form? y = x x – 1/2y = 0 x – y = 0 y =1/2x
The standard for of this equation is x – y = 0
Firstly, options A and D are not in standard form, so they are not options.
To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).
x – y = 0
2 - 2 = 0
0 = 0
This is true for option C. Therefore, it is correct.
The equation of the graphed line is x - y = 0.
Explanation:The equation of the graphed line in standard form is x - y = 0.
Standard form of a linear equation is written as Ax + By = C, where A, B, and C are constants. In this case, since the slope of the line is 1 and the y-intercept is 0, the equation becomes x - y = 0.
Therefore, the correct answer is x - y = 0.
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Drag each label to the correct location on the graph. Not all labels will be used. SailorsBay is a boat rental company that offers sailboat rentals for tourists. They charge a certain rate for the rental of a sailboat and an additional hourly fee according to the length of time for which the tourists rent the boat. Complete the graph with the appropriate quantities that describe SailorsBay's rental charges. Time (days) Number of People Time (hours) Number of Sailboats Time (weeks) Rental Charge ($)
Rental Charge ($) on the left side and, Time (hours) on the bottom.
Answer:
Rental Charge ($) on the left side and, Time (hours) on the bottom.
Step-by-step explanation:
A zucchini plant in Darnell's garden was 9 centimeters tall when it was first planted since then it has grown approximwntly .7 centimeters per day. What is the function?
I will use x for days. The equation is y=0.7x+9
0.7 is the growth per day * the days it has been growing.
+9 is the initial height
y is total height.
y=0.7x+9
a runner warms up for ten minutes and then takes seven minutes to run each mile. the total time after r miles in 45 minutes. how manymiles are run
Answer:
x= 5 miles
Step-by-step explanation:
The diagram shows a hexagon drawn inside a rectangle.
What is the area of the hexagon?
A. 21 cm²
B. 24 cm²
C. 30 cm²
D. 54 cm²
Answer is "C" 30 sq cm
what is 75% increase followed by a 33 1/3% decrease
a. greater than original
B. Same as the original
c. Less than the original
I believe it is “C”
find the calculated value of the rational expression 2x + 6/4x - 8
Answer:
2
Step-by-step explanation:
To calculate the value of the given rational expression (2x + 6) / (4x - 8), it is a good idea to simplify it first.
To simplify this expression, we can take the common out of both, the numerator and the denominator, as shown:
From the term 2x + 6, we can take out 2 as the common and from 4x-8, we can take 4 as common so the terms will become;
2 (x + 3) / 4 (x - 2)
2 from the numerator and 4 from the denominator will get cancelled and we will get x+3 / 2(x-2)
so we will solve for x-2 = 0 to get x = 2 which is the excluded value.
Solve for x a(5-x)=bx-8
a(5-x) = bx-8
5a - ax = bx - 8
ax + bx = 5a + 8
x(a +b) = 5a + 8
x = (5a + 8) / (a +b)
Answer:
correct
Step-by-step explanation:
For the first football game of the season, 62732 fans attended. The number of fans at the second game was 469 morw than at the first game. What is the total number of fans that attended the first two games?
62,732+469=63,201
63,201+62,732=125,933
your answer is 125,933
what is the opposite of -3?
Answer: 3
Step-by-step explanation: Here we're asked to determine the opposite of the following integer which is -3.
Think of the opposite of an integer in terms of a number line. The opposite of an integer is the same distance from zero as the original integer but on the opposite side of 0.
Since -3 is 3 units to the left of 0,
its opposite will be 3 units to the right of 0.
So the opposite of -3 is 3.
I have also shown my work on a number line on the whiteboard.
The opposite of the given integer -3 is 3. Therefore, option D is the correct answer.
The given integer is -3.
Here, -3 is negative integer.
Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
The opposite of -3 is 3. This is because when two numbers have opposite signs, they add up to zero. For example, -3 + 3 = 0.
Therefore, option D is the correct answer.
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If f(x)= 6x+7, determine the value of f(-5)
2/3x - 1 = -3/5, but what is x?
What is the range o the function h(x)=-8^x
the answer is the first one y<0
The range of the function h(x)=-8^x is:
C. y<-1
If h(x)= 3x+5 and h(a) =27, then what is the value of a ?
h(x) = 3x + 5
h(a) = 27
We can write this as 3a + 5 = 27
Now, we just need to solve for a.
Subtract 5 from both sides
3a = 22
Divide 3 from both sides.
a = 7.33
Now, let's plug 7.33 back into the original equation.
3 * 7.33 + 5 = 27
22 + 5 = 27
27 = 27 √ this is correct
To find 'a' in the equation h(x)=3x+5 when h(a)=27, we substitute h(a) with 27 and solve for 'a'. After some simple algebra, we find that 'a' equals approximately 7.33.
Explanation:This question is about solving algebraic equations. Here, we are given that h(x)= 3x+5 and h(a) =27. To find the value of 'a', we need to substitute 'h(a)' with 27 in the equation h(x)= 3x+5.
So, 27 = 3a + 5. To isolate 'a', we'll first subtract 5 from both sides of the equation: 27-5 = 3a, which simplifies to 22 = 3a.
Next, we divide both sides of equation by 3 to solve for 'a': 22/3 = a, hence a = 22/3 or approximately 7.33.
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Please help me I need this question done by tonight. The amount that a consultant charges for her work can be modeled using a linear function. For 4 hours of work, the consultant charges $400. For 5 hours of work, she charges $450. How much money does the consultant earn each hour?
Answer: The consultant earn $50 each hour.
Explanation:
It is given that for 4 hours of work, the consultant charges $400. For 5 hours of work, she charges $450. The amount that a consultant charges for her work can be modeled using a linear function.
If the linear function represents the amount earn by consultant in hours the the coordinates can be written as (4, 400) and (5, 450).
If we want to find how much money does the consultant earn each hour, so first we have to find the slope of linear function which passing through two points (4, 400) and (5, 450).
[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\text{Slope}=\frac{450-400}{5-4}[/tex]
[tex]\text{Slope}=\frac{50}{1}[/tex]
[tex]\text{Slope}=50[/tex]
In the linear function the slope show the earning of consultant per hour, therefore consultant earn $50 each hour.
Ana and chuyen are exploring underground caves anas location is -30 feet below the cave entrance and chuyen's patience is -12 feet below the cave entrance which girl is located farther from the cave entrance
Ana is located farther from the cave entrance than Chuyen. She is at -30 feet below the entrance, while Chuyen is at -12 feet, and the absolute value of Ana's depth is greater.
Explanation:The comparison of depths below the cave entrance for Ana and Chuyen is essentially a basic math problem involving negative numbers. In this case, we are looking at distances relative to a reference point, which is the entrance of the cave.
Ana's location is -30 feet below the cave entrance, while Chuyen's location is -12 feet below the cave entrance. To determine which girl is located farther from the cave entrance, we need to compare the absolute value of these numbers because depths below ground are considered negative.
Absolute value of Ana's depth: |-30| = 30Absolute value of Chuyen's depth: |-12| = 12Because Ana's absolute depth is greater than Chuyen's, Ana is located farther from the cave entrance.
A flower bed is in the shape of a rectangular prism. It’s dimensions are 3 feet wide by 16 feet long by 6 inches deep.
A: how many cubic feet of topsoil do you need to fill the flower bed?
B: you can spread topsoil at a rate of 4 cubic feet per minute. How long will it take you to spread all the top top soil?
Need help with 13 asap
[tex]5\frac{42}{170} - 3\frac{80}{170} [/tex]
[tex]5\dfrac{42}{170}-3\dfrac{80}{170}=(5-3)+\left(\dfrac{42}{170}-\dfrac{80}{170}\right)\\\\=2+\left(-\dfrac{38}{170}\right)=2-\dfrac{32}{170}=1\dfrac{170}{170}-\dfrac{38}{170}\\\\=1\dfrac{170-38}{170}=1\dfrac{132}{170}=1\dfrac{132:2}{170:2}=1\dfrac{66}{85}[/tex]
[tex]5\dfrac{42}{170}-3\dfrac{80}{170}=4\dfrac{170+42}{170}-3\dfrac{80}{170}\\\\=(4-3)+\left(\dfrac{212}{170}-\dfrac{80}{170}\right)=1+\dfrac{212-80}{170}\\\\=1+\dfrac{132}{170}=1\dfrac{132:2}{170:2}=1\dfrac{66}{85}[/tex]
Dakota read 130 pages over the weekend. Dajuan read 165 pages over the weekend. Which prime number do the prime factorization of 130 and 165 have in common?
In order to find the common prime factors of 130 and 165, let us first find prime factors of 130 and 165 individually and then we can compare.
Prime factors of 130 can be found as:
130 is a composite number because it has factors other than 1 and itself.
It is not a prime number. The 8 factors of 130 are 1, 2, 5, 10, 13, 26, 65, and 130. The factor pairs of 130 are 1 x 130, 2 x 65, 5 x 26, and 10 x 13.
The proper factors of 130 are 1, 2, 5, 10, 13, 26, and 65.
The prime factors of 130 are 2, 5, and 13.
Prime factors of 165 can be found as:
165 is a composite number because it has factors other than 1 and itself. It is not a prime number.
The 8 factors of 165 are 1, 3, 5, 11, 15, 33, 55, and 165. The factor pairs of 165 are 1 x 165, 3 x 55, 5 x 33, and 11 x 15.
The proper factors of 165 are 1, 3, 5, 11, 15, 33, and 55.
The prime factors of 165 are 3, 5, and 11.
Answer: On comparing the two, we can see that 5 is the common prime factor of both 130 and 165.
the total cost c a painter charges to paint a house depends on the number h of hours its takes to paint the house. this situation can be represented by the function rule c= 15h + 245 . what is the cost if the painter works for 30.25 hours
given that
c = 15h + 245
when h = 30.35 , cost c = (15 × 30.35) + 245
= 453.75 + 245 = 698.75
so cost if painter works = 698.75 unit of currency.
To find the total cost for a painter working 30.25 hours using the function rule c= 15h + 245, multiply the hourly rate (15) by the hours worked (30.25) and add the fixed cost (245). The total cost would be $698.75.
Explanation:To calculate the total cost c a painter charges to paint a house given the function rule c= 15h + 245, where h is the number of hours worked, we need to substitute the value of h with the given number of hours. In this case, the painter works for 30.25 hours. Therefore, the cost calculation would be:
c = 15 × 30.25 + 245
Step 1: Multiply the hourly rate by the total hours worked:
15 × 30.25 = 453.75
Step 2: Add the fixed cost to the result from step 1:
c = 453.75 + 245
Step 3: Combine the values to get the total cost:
c = 698.75
So, if the painter works for 30.25 hours, the total cost to paint the house would be $698.75.
the product of a number and 4 increased by 16 is -2
Let n = the unknown number
"The product of a number and 4" = 4 * n = 4n
"increased by 16" = + 16
Set it all equal to - 2.
4n + 16 = - 2
Subtract 16 from both sides to get constants on one side and variables on the other.
4n = - 2 - 16
Combine like terms:
4n = - 18
Divide both sides by 4 to isolate variable n.
n = - 18 / 4
= - 4 and 2/4 = - 4 and 1/2
help pls!!!!!!!!!!!!!!!!
Choose the best description for the real number square root of 35.
Irrational, because it is not a terminating or repeating decimal
Irrational, because it is a repeating decimal
Rational, because it is not a terminating or repeating decimal
Rational, because it is a repeating decimal
ANSWER.
The correct answer is Option A
EXPLANATION.
The real number
[tex]\sqrt{35}=5.916079783[/tex]
to 9 decimal places.
You can see that the decimals are not repeating, neither will they terminate.
Therefore the real number [tex]\sqrt{35}[/tex] is irrational because, the decimal does not terminate or repeat
Also note that,
[tex]\sqrt{35}=\sqrt{5} \times \sqrt{7}[/tex] .
That is,
[tex]\sqrt{35}[/tex] is a product of two irrational numbers, which still gives an irrational number.
Answer:
B i think
Step-by-step explanation:
need help asap im not good at math
Translations
y = f (x) + m up m units
y = f (x) - m down m units
y = f (x + m) left m units
y = f (x - m) right m units
Stretches/Shrinks
y = n · f (x) stretch vertically by a factor of n
y = 1/n · f (x) shrink vertically by a factor of m (stretch by 1/n)
y = f (1/n x) stretch horizonally by a factor of n
y = f (nx) shrink horizontally by a factor of n (stretch by 1/n)
Reflections
y = - f (x) reflect over x-axis (over line y = 0)
y = f (- x) reflect over y-axis (over line x = 0)
x = f (y) reflect over line y = x
------------------------------------------------------------------------
g(x) = -1 · f(x) = -f(x) → reflect over x-axisAnswer: A. The graph flips over the x-axisThe answer is the first option: The graph flips over the x-axis.
The explanation for this exercise is shown below:
1. When you multiply a function by -1 alll the positives values of y now will be negative, and the points negative y-axis.
2. As you can see in the figure attached, if you have a function [tex]f(x)=x^{2}[/tex] and you multiply it by -1, the graph will flip over the x-axis.
A cellular phone company charges a $49.99 monthly fee for 600 free minutes. Each additional minute costs $.35. This month you used 750 minutes. How much do you owe?
First you need to subtract 750-600= 150.
Then 150 time .35=52.5.
Lastly 52.5+49.99= 102.49
Use the polynomial x4+2x3−3x5+4x−5x2+6 to answer the question. What is the degree of this polynomial? Enter the number that represents the degree of the polynomial, like this: 42
ANSWER
The degree of the given polynomial is [tex]5[/tex]
EXPLANATION
The given polynomial is
[tex]p(x)=x^4+2x^3-3x^5+4x-5x^2+6[/tex]
When we write this polynomial in descending order, we get,
[tex]p(x)=-3x^5+x^4+2x^3-5x^2+4x+6[/tex]
The highest degree is 5.
Hence the degree is 5
Which of the following represents the sum of the series below? 4+7+10+13+16+19+22+25+28+31+34+37++40
Answer: The answer on edge is B.
13 * (4+40)/2
Step-by-step explanation:
Lana got a tip of 16%, or 0.16For delivering pizzas for the party if the total bill for the pizza was $98.19 about how much was Lana’s tip
You can answer this question by writing and solving an equation to model the calculation of the total bill.
[tex]1.16x=98.19[/tex]
[tex]x=84.65[/tex]
$84.65
The tip Lana received corresponds to 16% of the bill total which amounts to about $15.71.
Explanation:In this question, we are asked to calculate Lana's tip from her pizza delivery. As it's described that the tip was 16% of the total bill, we use the percentage formula to find out how much Lana got. The formula for finding a percentage of a number is Percent% x Total Amount.
To apply this formula here, we'll multiply the total bill amount ($98.19) by 0.16 (which represents the 16% tip as a decimal). This will give us Lana's tip. The calculation will look like this: $98.19 * 0.16 = $15.71. So Lana's tip for the pizza delivery was approximately $15.71.
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Steven has 5/6lb of jelly beans and 1/3lbs of gummy bears. How many more pounds of jelly beans than gummy bears does he have ?
1/3=2/6
5/6-2/6= 3/6 or 1/2
He has 1/2 pound of more jelly beans than gummy bears.
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Steven has 1/2 lb. more of jelly beans than gummy bears.
1. The fractions need to have the same denomination (bottom number). The lowest common multiple of 3 and 6, is 6. So multiply 1/3 by 2 in order to get 2/6.
2. Now that the fractions have the same denominator, subtract 2/6 from 5/6 to get 3/6.
3. Simplify the fraction so it's in simplest from. 3/6 is the same as 1/2.
Which of the following sets contain all roots of the polynomial
All these given roots are contained in option C.
The given equation is :
[tex]9x^{3}+9x^{2}-4x-4=0[/tex]
[tex]9x^{2}(x+1)-4(x+1)=0[/tex]
[tex](9x^{2}-4)(x+1)=0[/tex]
[tex]9x^{2}-4=0,x+1=0[/tex]
[tex]x^{2}=\frac{4}{9},x=-1[/tex]
[tex]x=\frac{2}{3},x=-1[/tex]
Roots = [tex]-1,\frac{-2}{3} ,\frac{2}{3}[/tex]
Hence these lie in between [tex](\frac{-3}{2} ,\frac{3}{2})[/tex]