The length of the number line segment satisfying the inequality (x-4)² ≤ 9 is 6 units, found by solving the inequality to get the range 1 <= x <= 7 and subtracting the lower endpoint from the higher endpoint.
To find the length of the segment of the number line for the points that satisfy the inequality (x-4)² ≤ 9, we first solve the inequality. Taking square roots of both sides gives us |x-4| ≤ 3.
This means that the distance from x to 4 on the number line is less than or equal to 3. We can express this as two separate inequalities: x-4 ≤ 3 and x-4 ≥ -3. Solving these gives us x ≤ 7 and x ≥ 1, which represent the endpoints of the segment on the number line.
The length of this segment is the difference between the endpoints, which is 7 - 1 = 6. So, the length of the number line segment that contains all points satisfying the original inequality is 6 units.
How many tenths are equal to 4/5 mile using a diagram
Earth is approximately 9.3 × 107 miles from the sun. Saturn is approximately 8.87 × 108 miles from the sun. About how much farther is Saturn from the sun than Earth is?
Answer:
B. 7.94 * 10^8 miles
Step-by-step explanation:
is the correct answer
if a customer ordered 5 items and the order had a total of 17 wheels,how many wagons were ordered?
Please help to solve... Need steps
If f(x)= -x²+3x+5, find f(-3), f(0), f(2), f(5), and f(8).
60,000 is ten times as much as
a person or company that allows others to borrow money is called
Answer:
ummm its called a lender since that person is "lending" you something
Step-by-step explanation:
A person or company that allows others to borrow money is called a "lender".
What is a Lender?A lender is a person, a group (public or private), or a financial organization that makes cash accessible to a person or business with the expectation of repayment. Payment of any interest or fees will be included in the repayment.
Repayment might take place in installments (such as a monthly mortgage payment) or as a flat amount. A mortgage is one of the largest loans that individuals obtain from lenders.
The loan duration varies depending on the type of debt. While some loans are for 1-2 years, the majority are for 6-12 months.
Thus, a person or company that allows others to borrow money is called a "lender".
To learn more about the Lender link is given below.
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A map of square piece of property is drawn at a scale of 1 : 500. If a side of the property on the map is 16 cm, what is the property's actual area?
Answer:
[tex]\text{Actual area of property}}=6400\text{ m}^2[/tex]
Step-by-step explanation:
Let x represent the actual side of square property.
We have been given that a map of square piece of property is drawn at a scale of 1 : 500.
We will use proportions to solve for our given problem.
[tex]\frac{\text{Actual length}}{\text{Map length}}=\frac{500}{1}[/tex]
[tex]\frac{x}{16\text{ cm}}=\frac{500}{1}[/tex]
[tex]\frac{x}{16\text{ cm}}*16\text{ cm}=500*16\text{ cm}}[/tex]
[tex]x=8000\text{ cm}[/tex]
[tex]x=80\text{ m}[/tex]
We know that area of a square is square of its side length.
[tex]\text{Actual area of property}}=(80\text{ m})^2[/tex]
[tex]\text{Actual area of property}}=6400\text{ m}^2[/tex]
Therefore, the actual area of property is 6400 square meters.
Find the area of the parallelogram shown.
35 yd 2
24 yd 2
26 yd 2
40 yd 2
area = base x height
base = 5
and height = 7
so area = 7*5 =35 square yards
use the numbers 2,3,5, and 8 to write an expression that has a value of -1
Simplify (5ab^4c)(-abc^2)
This is the answer that u seek
-5a^2b^5c^3
Carlos can print a document on apricot printer which the speed is 8 in 4.5 minutes how long would it take him to print the same document on a sure-fire printer which the speed is 12
A line has a slope of 3/5. It passes through (3,5) and (x,9). What is the value of x?
Final answer:
The value of x for the line with a slope of 3/5 that passes through (3,5) and (x,9) is 9 2/3 or 9.67 when expressed as a decimal.
Explanation:
To find the value of x for the point (x, 9) on a line with a slope of 3/5, we can use the slope formula which is (change in y) / (change in x) = slope. We know two points on this line, (3, 5) and (x, 9).
First, calculate the change in y which is 9 - 5 = 4. Then, use the slope of 3/5 and set it equal to the change in y (which is 4) over the change in x (which is x - 3):
3/5 = 4 / (x - 3)
To find x, we cross-multiply:
3 x (x - 3) = 5 x 4
3x - 9 = 20
Add 9 to both sides: 3x = 29
Divide both sides by 3: x = 29/3
Therefore, x = 9 2/3 or 9.67 when expressed as a decimal.
This calculation shows the x-coordinate for the point where the line passes through y-coordinate 9.
An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?
ANSWERS
square root of fifteen divided by eight
eight divided by the square root of fifteen
seven divided by the square root of fifteen
square root of fifteen divided by seven
What is an expression that is equal to 12m+12n
What is the ANWSER to the question ? Thank you
Please Help!! Maxine spent 15 hours doing her homework last week. This week she spent 18 hours doing homework. She says that she spent 120% more time doing homework this week. Is she correct? Show your work to justify your decision.
I need help with this.
Which equation represents an exponential function with an initial value of 500
100 AAA batteries were tested on a particular MP3 player. Suppose the battery has a mean lifetime of 31.7 hours, with a standard deviation of 2.9 hours. How long do we expect the majority of batteries to last?A. Between 2.9 and 31.7 hours
B. Between 28.8 and 31.7 hours
C. Between 31.7 and 34.6 hours
D. Between 28.8 and 34.6 hours
31.7 -2.9 = 28.8
31.7 + 2.9 = 34.6
between 28.8 & 34.6 hours
D is the correct answer
Two pounds of peaches cost $4.20. How much will five pounds cost?
Which of the following is not a Pythagorean triple? A. 28,45,53 B. 16,63,65 C. 13,84,85 D. 11,61,62
Plz answer with showing work. #19
Which of these is the algebraic expression for "3 times the sum of 2 and y?"
3(2 + y)
3 ⋅ 2 + y
2 + 3 ⋅ y
2(3 + y)
best answer gets BRAINIEST!!!!
a right triangle has a base that measures 39 inches and a height that measures 80 inches what is the length of the hypotense
A scientist finds the temperature of a sample at the beginning of an experiment is t degrees celcius. After 1 hour, the temperature is t^2 degrees celcius. If the temperature after 1 hour is 81 degrees celcius, what are two possible original temperatures? What is the difference between the possible original temperatures?
The two possible original temperatures are 9 and - 9 degrees Celcius and the difference between the temperature is 18 degrees Celcius.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
A scientist finds the temperature of a sample at the beginning of an experiment is t degrees Celcius.
After 1 hour, the temperature is t² degrees Celcius. If the temperature after 1 hour is 81 degrees Celcius.
From the question:
t² = 81
Taking square root on both sides:
t = ±√81
t = ±9
t = 9 degrees Celcius
Or
t = -9 degrees Celcius
The difference between the temperature = (9) - (-9) = 18 degrees Celcius
Thus, the two possible original temperatures are 9 and - 9 degrees Celcius and the difference between the temperature is 18 degrees Celcius.
Learn more about quadratic equations here:
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help me please. I don't know how to do this. so can you take me step by step if possible.
PLEASE ANSWER ALL PARTS I WILL GIVE BRAINLIEST
Julian compared numbers with similar digits. Using mathematical language, explain how each set of numbers is different
SET A: 13.542 AND 35.42
SET B: 781 AND 78.1
SET C: 1.2 AND 01.20
4a to the fourth power -2b to the second power +40 when a =2 and b =7
What is the prime factorization of 162?