The coordinates of the x-intercept are (B/C,0)
What is the x-intercept of a graph?The x-intercept of a graph is defined as the places where the graph crosses the x-axis or the locations where the coordinate of the y-axis equals 0, which are known as the x-intercept of a graph.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Consider the graph of Cx + Ay = B
Here A, B, and C are all positive constants.
To determine the coordinates of the x-intercept
⇒ Cx + Ay = B,
Substitute the value of y = 0 and solve for x
⇒ Cx + A(0) = B,
⇒ Cx = B,
Divide both sides by C
⇒ x = B/C
Hence, the coordinates of the x-intercept are (B/C,0).
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Can someone walk me through the steps in solving this question
A cyclist rides his bike at a rate of 21 miles per hour. What is this rate in miles per minute? How many miles will the cyclist travel in 2 minutes? Do not round your answers.
Whats between 0.4 and 0.5
The numbers between 0.4 and 0.5 are 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, and 0.49.
Used the concept of the number system states that
A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols.
Here, the two numbers are 0.4 and 0.5
So, all the numbers that are between 0.4 and 0.5 are,
0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49
Therefore, the numbers are 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, and 0.49.
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what are the coordinates of a p;point on the unit circle if the angle formed by the positive x axis and the radius is 60 degrees
The type of a parameter whose type is omitted in a function definition is
Write each expression as the product of two factors 2x1+(1+7)+(7x2)
The expression as the product of two factors is (1 + 7)(2 + 1).
What is termed as the product of the factors?A factor is a number which divides another number by itself and leaves no remainder. In other words, so unless multiplying two whole numbers yields a product, the numbers being multiplied are factors of a product because the product is divisible by them.Factors can be found using two methods: multiplication and division. Furthermore, rules of divisibility could be applied.For the given question, the expression is;
= 2x1 + (1+7) + (7x2)
First, search for numbers that share a factor.
Consider the factors (2 x 1) and (7 x 2); this same common factor is two, so we factor.
= (2 x 1) + (7 x 2) + (1 +7)
Taking 2 common from first two numbers.
= 2 (1 + 7 ) + (1 + 7)
Now, take (1+7) common from both.
= (1 + 7)(2 + 1)
Thus, the expression as the product of two factors is (1 + 7)(2 + 1).
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Deon is riding his bicycle. He rides for 7 hours at a speed of 22.4 kilometers per hour. For how many kilometers does he ride
Jessica's lab is 12 times as long as her hamster. Her hamster is 4.16 inches long. How long is her lab?
Use compatible numbers to estimate the quotient 5821/71?
Divide 5821 by 71
Round the number to the nearest hundred
5821 ÷ 71 → 5800 ÷ 70
Calculate mentally.
58 ÷ 7=8.2
Estimated quotient = 8
10x + 16 ≥ 6x + 20 what is the answer to this
Answer:
The solution of given inequality is x ≥1.
Step-by-step explanation:
The given inequality is
[tex]10x+16\geq 6x+20[/tex]
We need to separate the variable terms to solve the above inequality.
Subtract 6x and 16 from both sides to separate the variables on left side.
[tex]10x+16-6x-16\geq 6x+20-6x-16[/tex]
On combining like terms we get
[tex](10x-6x)+(16-16)\geq (6x-6x)+(20-16)[/tex]
[tex]4x\geq 4[/tex]
Divide both sides by 4.
[tex]x\geq \frac{4}{4}[/tex]
[tex]x\geq 1[/tex]
Therefore the solution of given inequality is x ≥1.
a cylinder has a volume of 83 in3 and is 10 in. tall what is the radius of the cylinder in inches use 3.14 and round to the nearest 10th
A person must score in the upper 2% of the population on an iq test to qualify for membership in mensa, the international high-iq society (us airways attache, september 2000). there are 110,000 mensa members in 100 countries throughout the world (mensa international website, january 8, 2013). if iq scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for mensa (to the nearest whole number)?
To qualify for Mensa, a person must have an IQ score in the top 2% of the population. Using the normal distribution with a mean of 100 and standard deviation of 15, the minimum qualifying IQ score is approximately 131.
Explanation:To qualify for Mensa, an individual must have an IQ score within the top 2 percent of the population. Given that the IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, we can use the Z-score formula to find the corresponding IQ score.
The Z-score that corresponds to the top 2 percent can be found using a standard normal distribution table or a calculator with inverse normal function. The Z-score for the 98th percentile is approximately 2.05. We can then use the Z-score formula:
Z = (X - Mean) / Standard Deviation
Substituting the values we have:
2.05 = (X - 100) / 15
Solving for X gives us:
X = 2.05 * 15 + 100
X = 130.75
Therefore, the minimum IQ score required to qualify for Mensa, to the nearest whole number, is 131.
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Althea traveled 280 miles at a speed of 70 miles/hour. How much time did she take to cover this distance?
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which description matches the function that represents by the values in this table?
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d. exponential growth
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brian irons 2/9 of his shirt in 3 3/5 minutes. how much of his shirt does he iron each minute
The Leukemia and Lymphoma Society sponsors a 5k race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race.
Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.
Which coin have a diameter with a 5 in a hundredths place
The sum of three consecutive integers is 267. What is the largest integer?
middle number = 267 / 3 = 89
88 + 89 +90 = 267
largest number = 90
HELP ME Look at pics
combine all the like terms
8x^2 + x^2 = 9x^2
-9y^2 - 3y^2 = -12y^2
-4x-7x = -11x
so you have 9x^2 -12y^2-11x
Answer id the last one
0.00000002 in scientific notation
4- T = 3 (T-1)-5
A. 3
B. 6
C. No solution
D. Identity
If you can explain this to me I would really love that.
Consider the solid s described below. the base of s is the region enclosed by the parabola y = 5 - 5x2 and the x-axis. cross-sections perpendicular to the x-axis are isosceles triangles with height equal to the base. find the volume v of this solid.
To find the volume of the solid described, we can use the formula for the volume of a cylinder and integrate the cross-sectional area. The cross-sectional area is the base of the solid, and in this case, it is given by (25 - 50x^2 + 25x^4).
Explanation:The solid described in the question has a base in the shape of the region enclosed by the parabola y = 5 - 5x^2 and the x-axis. The cross-sections perpendicular to the x-axis are isosceles triangles with a height equal to the base.
To find the volume of the solid, we can use the formula for the volume of a cylinder. The cross-sectional area of each triangle is the base times the height, and the height of the triangle is also the base. So, the cross-sectional area is A = (5 - 5x^2)(5 - 5x^2) = (25 - 50x^2 + 25x^4).
The volume of the solid is then given by integrating the cross-sectional area from the x-values that define the base of the solid. So, V = ∫(25 - 50x^2 + 25x^4)dx.
Use the slope formula to find the slope of the line passing through the given points. (–4, 7) and (0, 8)
Hi there!
Step-by-step explanation:
[tex]Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]
[tex]\frac{8-7}{0-(-4)}=\frac{1}{4}[/tex]
Final answer is 1/4.
Slope is 1/4.
Hope this helps!
Thanks!
-Charlie
Have a nice day! :)
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36 POINTS TO CORRECT ANSWER Cindy has 26 nickels. She is getting rolls of nickels from the bank. She has enough money to get up to 10 rolls of nickels and each roll contains 40 nickels. The bank will not give partial rolls. The function that models the number of nickels Cindy will have after leaving the bank is f(r)=40r+26, where r is the number of rolls of nickels she gets. What is the practical domain of the function?
Answer:
The answer is all integers from 1 to 10, inclusive
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Chad bought a box of raisins. he gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. what fraction did he keep?
What is the minimum number of degrees that a hexagram can be rotated so that it is carried onto itself?
a cell phone company charges a monthly fee of $0.25 for each text. message the monthly fee is $30.00 and you owe $59.50. how many text messages did you have
the line joining A(a, 3) to B(2 -3) is perpendicular to the line joining C(10,1) to B. The value of a is?
The value of a is -1
What do perpendicular lines have a slope of?
Perpendicular lines have slopes that are negative reciprocals of each other. The given line's slope is 5, which means that the slope of the opposite line must be its negative reciprocal.
Conclusion: The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that is the slope of the line is -1/m.
let the slope of line AB is m1 and the slope of line BC be m2
m1= 3+3/a-2 = 6/a-2
m2=1+2/10-2 = 1/2
m1 * m2 = -1
6/a-2 * 1/2 = -1
3 = -a+2
a = -1
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PLEASE HELP ASAP!!I WILL GIVE BRAINLIEST AND 5 STARS AND HEART AND PROFILE COMMENT (4 QUESTIONS)!!!!
Identify the corresponding word problem given the equation: x + 5 = 15
A) Billy is ten years older than his sister, Jenny. If Billy is 15 years old,
how old is Jenny?
B) Billy is five years older than his sister, Jenny. If Jenny is 15 years old,
how old is Jenny?
C) Billy is five years older than his sister, Jenny. If Billy is 15 years old,
how old is Jenny?
D) Billy is fifteen years older than his sister, Jenny. If Billy is 20 years old,
how old is Jenny?
Identify the corresponding word problem given the inequality: x ≤ 4.50
A) The price of diesel has been less than $4.50 for the last month.
B) The price of diesel has been more than $4.50 for the last month.
C) The price of diesel has been no more than $4.50 for the last month.
D) The price of diesel has been no less than $4.50 for the last month.
Identify the corresponding word problem given the equation: x - 9.2 = 12.8
A) Nick ran 9.2 miles less than Perry last week. If Nick ran 22 miles, how many miles did Perry run?
B) Nick ran 12.8 miles less than Perry last week. If Nick ran 9.2 miles, how many miles did Perry run?
C) Perry ran 9.2 miles less than Perry last week. If Nick ran 12.8 miles, how many miles did Perry run?
D) Nick ran 9.2 miles less than Perry last week. If Nick ran 12.8 miles, how many miles did Perry run?
Identify the corresponding word problem given the equation: x + 12.50 = 55.75
A) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?
B) For mowing the neighbor's yard, Jessy was paid $55.75. If he now has $12.50, how much money did he have before?
C) For mowing the neighbor's yard, Jessy was paid $43.25. If he now has $55.75, how much money did he have before?
D) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $68.25, how much money did he have before?
Find then selling price per liter of a mixture made from 70 L of cranberry juice which cost $1.20 per liter and 130 L of apple juice which cost $0.80 per liter