The function f(x)=k represents a horizontal line where 'k' is the y-intercept. This means the line crosses the y-axis at the point (0,k).
Explanation:The function f(x)=k represents a horizontal line across the y-axis at the value of 'k'. In this case, the y-intercept or 'b' would also be 'k', given that regardless of the x-value, the output will always be 'k'. The point of intersection with the y-axis is thus (0,k).
In general, for the linear equation y=mx+b, 'm'
represents the slope of the line and 'b' is the y-intercept where the line crosses the y-axis. In this case, 'm' would be zero as the slope of a horizontal line is 0, causing the line's equation to simplify to
y=k, or f(x)=k. This indicates that for every x, the y value remains constant at 'k' .
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Lincoln Middle School plans to collect more than 2000 cans of food in a food drive. So far, 668 cans have been collected. Write an inequality to find numbers of cans the school can collect on each of the final 7 days of the drive to meet this goal. Identify what your variable represents.
Add.
(5y - 1) + (-2y + 4)
A) 3y - 5
B) 3y + 3
C) 7y + 3
D) 7y - 3
Chalene wants to cut her hair but is a little nervous. She decides to cut it off slowly so she can get used to it as it gets shorter. Right now, her is is 11.5 inches past her shoulders. She decides to cut an inch and a half off her hair every week. Write an expression to describe the length of her hair in relationship to her shoulders.
Final answer:
The length of Chalene's hair in relation to her shoulders can be described using the expression:
Length of hair = 11.5 - 1.5n,
where 'n' represents the number of weeks. Each week, Chalene cuts 1.5 inches off her hair.
Explanation:
To describe the length of Chalene's hair in relation to her shoulders, we can use the expression:
Length of hair = 11.5 - 1.5n
where 'n' represents the number of weeks.
Each week, Chalene cuts 1.5 inches off her hair, so we subtract 1.5 from the previous length to get the new length.
For example, after 1 week, the length of her hair will be 11.5 - 1.5(1) = 10 inches past her shoulders.
Shaylyn measured her house as 5 meters tall. Which of these is an equivalent measurement?a. 0.3 milesb. 7.3 yardsc. 16.4 feetd. 27.2 inches
a water tank is 1/8 full. the tank is 3/4 full when 42 gallons of water are added to the tank. How much water is in the tank when it is 1/2 full?
evaluate (-B)2 for A=5,B=-4, and C=2
Final answer:
To evaluate [tex](-B)^2[/tex] for A=5, B=-4, and C=2, substitute the given values into the expression. The result is 16.
Explanation:
To evaluate [tex](-B)^2[/tex] for A=5, B=-4, and C=2, we substitute the given values into the expression. Since B=-4, we have [tex](-B)^2=(-(-4))^2=4^2=16.[/tex]
The significance of raising a number to a power lies in its ability to represent repeated multiplication in a concise and efficient manner. Powers allow us to express large numbers and complex mathematical relationships in a compact form. They are fundamental in various mathematical operations, such as arithmetic, algebra, calculus, and number theory. Additionally, powers play a crucial role in scientific notation, where they facilitate the representation of very large or very small numbers in a more manageable format. Overall, understanding powers is essential for comprehending a wide range of mathematical concepts and applications.
HW Help -
6(−3−x)−2x=14
x = ___
14=2c−6+3c
c = ___
−7.5(x−3)=3.75
x = ___
3/5(r−7)=1
___
3.5(t+6)=7
A - -4
B - -0.25
C - 0.25
D - 4
round 54.953 to the nearest whole number
plz help...Find f(-5)
f(x) = -4x + 3
A)
-17
B)
-7
C)
12
D)
23
Solve. (–16.1) • 9.4 • (–7.2) = x • (–7.2) • (–16.1) A. 9.4 B. 1 C. –7.2 D. –16.1
Aaron puts $1,000 in an account that pays 10% interest compounded quarterly. He leaves it in the account for six months. Estimate how much interest he earns.
A. $50
B. $100
C. $150
D. $200
Answer: . $50
Step-by-step explanation:
The formula to find the compound amount (compounded quarterly) is given by :-
[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex], where P Is principal amount, r is the rate of interest in decimal and t is the time in years.
Given : Aaron puts $1,000 in an account that pays 10% interest compounded quarterly.
Then, P=1000, r=10%=0.1 ; t=[tex]\dfrac{6}{12}=0.5[/tex] year
Now, [tex]A=1000(1+\dfrac{0.1}{4})^{4(0.5)}[/tex]
[tex]A=1000(1.025)^{2}=1050.625[/tex]
Then , Compound interest=[tex]A-P=1050.625-1000=50.625\approx\$50[/tex]
Hence, he earns the estimated interest of $50.
Plz help really easy but don't guess asap plz
NEED TO KNOW!!!!!
San rotated parallelogram ABCD 90 clockwise around the origin. If angle A is 130 and angle B is 50, what is the degree measurement of angle A
A: 80 degrees
B: 130 degrees
C: 50 degrees
D: 180 degrees
These numbers are not square numbers. Which two consecutive square numbers is each number in between
a. 7
B.30
c.50
d.90
What is the angular position in radians of the minute hand of a clock at 10:35?
What values are needed to make each expression a perfect square trinomial?
x2 + 4x +_____________
x2 – 10x + ____________
Answer:
Part a) [tex]x^{2}+4x+4[/tex]
Part b) [tex]x^{2}-10x+25[/tex]
Step-by-step explanation:
we know that
A perfect square trinomial is equal to
[tex](x+a)^{2} =x^{2}+2ax+a^{2}[/tex]
Part a) we have
[tex]x^{2}+4x[/tex]
Compare with the formula of a perfect square trinomial
[tex]x^{2}+4x=x^{2}+2ax+a^{2}[/tex]
so
[tex]4x=2ax[/tex]
[tex]4=2a[/tex]
[tex]a=2[/tex]
therefore
[tex](x+a)^{2} =(x+2)^{2}=x^{2}+4x+4[/tex]
Part b) we have
[tex]x^{2}-10x[/tex]
Compare with the formula of a perfect square trinomial
[tex]x^{2}-10x=x^{2}+2ax+a^{2}[/tex]
so
[tex]-10x=2ax[/tex]
[tex]-10=2a[/tex]
[tex]a=-5[/tex]
therefore
[tex](x+a)^{2} =(x-5)^{2}=x^{2}-10x+25[/tex]
The values are needed to make each expression a perfect square trinomial x^2 + 4x + 4 and x^2 – 10x + 25.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
A. [tex]x^{2} +4x+4[/tex]
A perfect square trinomial is
[tex](x+a)^2 = x^2 + 2ax + a^2[/tex]
Compare with the formula of a perfect square trinomial
4x = 2ax
4 = 2a
a = 2
Therefore, [tex](x+a)^2 = (x+2)^2 = x^{2} +4x+4[/tex]
B. [tex]x^{2} -10x + 25[/tex]
A perfect square trinomial is
[tex](x+a)^2 = x^2 + 2ax + a^2[/tex]
Compare with the formula of a perfect square trinomial
-10x = 2ax
-10 = 2a
a = -5
Therefore, [tex](x+a)^2 = (x-5)^2 = x^{2} -10x+25[/tex].
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A bread making machine costs $99.The ingredients to make a one pound loaf of bread costs $0.45 .At store, you pay 2.19 for the same size loaf of bread.How many whole loaves of bread will you have to make in order for the cost of the machine and ingredients to be less than the cost of buying an equivalent Amount of bread at the store.
To determine the number of loaves of bread needed to make the cost of the machine and ingredients less than buying bread at the store, set up an inequality and solve for 'x'. With the given values, you would need to make at least 5 whole loaves of bread.
Explanation:To determine how many loaves of bread will need to be made for the cost of the machine and ingredients to be less than the cost of buying bread at the store, we need to compare the costs of making bread and buying bread.
The cost of making a one pound loaf of bread using the machine and ingredients is $0.45. The cost of buying a one pound loaf of bread at the store is $2.19.
Let's assume the cost of making each whole loaf of bread is $0.45. We can set up an inequality to represent the situation:
0.45x < 2.19
Where 'x' is the number of loaves of bread that need to be made.
To solve for 'x', we divide both sides of the inequality by 0.45:
x > 2.19/0.45
Using a calculator, we find that x > 4.87. Rounded up, this means you would need to make at least 5 whole loaves of bread in order for the cost of the machine and ingredients to be less than buying bread at the store.
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Is the square root of 12-2 rational or irrational?
A train travels at a constant speed of 75 mi/h. The function f(x) = 75x gives the distance that the train travels in x hours. Graph this function and give its domain and range.
f(x) = 75x represents the distance covered by a train traveling at a constant speed of 75 mi/h. The graph is a line with a constant slope of 75, originating from (0,0). The domain and range of the function are both all non-negative real values ([0, +∞)).
Explanation:To graph the function f(x) = 75x, where x represents time in hours and f(x) represents distance in miles, we construct a simple 2D graph. In this case, the graph will be a straight line sloped upward, starting from the origin (0,0), since the time and distance both start from zero. The slope of the line corresponds to the speed of the train, 75 mi/h, indicating that the train covers 75 miles each hour.
The domain, or possible x-values, of this function are all non-negative real numbers since time cannot be negative. In mathematical terms, this is [0, +∞). The range, or possible f(x)-values, are also all non-negative real numbers as the distance covered also cannot be negative. So, the range is also [0, +∞).
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this brain plus is BS u cant do anything all the stuff i need is blocked
Solve the following proportion for x 6/7 = 48/x
What is 15 divide by 5/9
The measure of angle A = ____ degrees.
What number is 1/10 as greater as 7962
A coral reef grows 0.13 m every week how much does it grow in 12 weeks
Final answer:
To find out how much a coral reef grows in 12 weeks, with a weekly growth of 0.13 m, multiply the growth rate by the number of weeks, resulting in a total growth of 1.56 m.
Explanation:
If a coral reef grows 0.13 m every week, to find out how much it grows in 12 weeks, we simply need to multiply the weekly growth rate by the number of weeks:
Weekly growth rate = 0.13 m
Number of weeks = 12
Therefore, the total growth over 12 weeks is:
0.13 m/week × 12 weeks = 1.56 meters.
In 12 weeks, the coral reef grows by a total of 1.56 meters.
PLEASE HELP!!!!!!!!!!!!!!!!
What value correctly fills in the blank so that the expressions are equivalent?
18 + 45 = ___ ´ (2 + 5)
2
3
7
9
16.9÷(-1.3)
[tex]16.9 \div ( - 1.3)[/tex]
Jack travels 2.45 miles to school. Wanda travels 2.31 miles to school. Compare the distances using words
List 3 prime numbers between 30 and 60...
Answer:
The three prime numbers are, 31, 37, and 41.
How I got the answer:
1. 31 is a prime number: 31 x 1 = 31
1 x 31 = 31
2. 37 is a prime number: 37 x 1 = 37
1 x 37 = 37
3. 41 is a prime number: 41 x 1= 41
1 x 41 = 41
Ava read 110 books in 11 months. How many books per month did she read