Which equation is a linear function
Answer:
[tex]y=\frac{x}{2} -5[/tex]
Step-by-step explanation:
Linear functions are those whose graph is a straight line.
A linear function has the following form: [tex]y=f(x)=a+bx[/tex]
A linear function has one independent variable and one dependent variable.
The independent variable is x and the dependent variable is y.
The degree of a linear equation must be 0 or 1 for each of its variables.
1. The degree of the variable y is 1 which means it is not linear.
2. The degree of the variable y is 1 and the degree of variable x is 1 so it is linear.
3. The degree of the variable y is 1 and the degree of the variable x is 2 so it is not linear.
4. The degrees of the variable violates the linear equation definition so it is not linear.
What’s the answer and How do you do these
Covert 4.12 in a faction
Answer:
it would be 103/25
Step-by-step explanation:
Answer: 103/25
Step-by-step explanation:
which pair of expressions are equivalent?
A. j + j + j + j and j4
B. 16g + 10 - 4g and 20g + 10
C. 16c + 24c and (4c + 6c)
D. 14e^2 + 3e + 8 and 17e^2 + 8
Answer:
A.
[tex]j + j + j + j \: and \: j4[/tex]
1) Which triangle is both scalene and acute?
70°
510
10 ft
6.8 ft
10 ft
9 Ft
40°
70°
58° 71°
8.3 ft
10 ft
10 ft
102
90°
7 ft
10 ft
7 ft
31°
47°
35°
55°
13.3 Ft
12.2 ft
Done
Answer:
Step-by-step explanation:
Top right one. All angles are acute( < 90 degrees) and different .
Perform the operation. Enter your answer in scientific notation. 7 × 102 − 5.6 × 102 =
The original cost of a laptop computer was x dollars. The expression 0.36 represents the value of the laptop today. Choose two expressions that also represent the value of the laptop today.
Answer:
0.36x, [tex]\frac{9}{25}[/tex]x
Step-by-step explanation:
36/100 = 9/25
Segment CB is a____
Answer:
Radius
Step-by-step explanation:
CB = AB/2
Since AB is the diameter, CB is a radius
Circumference and Area of Circles
Answer:
Step-by-step explanation:
Circumference for a circle equation is: [tex]2\pi r[/tex]
1. 31.4 in
2. 88 mm
3. 69.1 yd
4. 578.5 m
Area for circle equation is: [tex]\pi r^{2}[/tex]
5. 490.9 m^2
6. 227 ft^2
7. 35.8 mi^2
8. 86.6 cm^2
9. Area: 50.3 cm^2, circumference: 25.1 cm
10. Area: 69.4 in^2, circumference: 29.5 in
11. Area: 2.5 ft^2, circumference: 5.7 ft
12. Area: 36.3 km^2, circumference: 21.4 km
13. Area: 154 yd^2, circumference: 44 yd
What is perimeter of 300 315 55
In 5 minutes how many more words per minute can Clair type than graham if graham can type 260 words but Clair can type 275
Answer:
3 more words per minute
Step-by-step explanation:
So Graham types 260 words / 5 minutes = 52 words per minute
And Clair types 275 words / 5 minutes = 55 words per minute
Thus Clair ypes 55-52 = 3 more words per minute
Bananas are on sale for $0.39 per pound. Mr Schurter bought 3 x 3 /4 pounds of bananas. Which is closest to the amount he paid for the bananas?
The amount paid for the bananas is $0.8775.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Suppose we have two ratio p : q and r : s.
If both these ratios are proportional, then we can write it as p: q : : r : s.
This is same as p : q = r : s or p/q = r/s
Bananas are on sale for $0.39 per pound. Mr. Schurter bought 3 x 3 /4 pounds of bananas.
Cost of 1 pound of banana = $0.39
Let x be the cost of 3 × 3/4 pounds of banana.
3 × 3/4 pounds = 9/4 pounds
By proportional concept,
1 : 0.39 = 9/4 : x
1 / 0.39 = 9/4 / x
Cross multiplying, we get,
1 × x = (9/4) × 0.39
x = 3.51 / 4
x = 0.8775
Hence the cost of 3 × 3/4 pounds of banana is $0.8775.
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Marci performed a division. 175 was the dividend, 5 was the divisor, and 35 was the quotient. Which is a correct representation of this problem
Answer:
175/5 = 35
Step-by-step explanation:
dividend/divisor = quotient
175/5 = 35
1. Adam opened a savings account with
$250. He saves $300 per month.
Mandy opened a savings account
with $750. She saves $200 per
month. How much more will Adam
have in his savings account after 12
months?
Answer:
$700
Step-by-step explanation:
Adam = 250 +300(12)=3850
Mandy = 750+200(12)=3150
3850-3150=700
Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following. Probabilitygiven the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(x>10), n=14, p= .8
Answer:
P(x > 10) = 0.6981.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
In this question:
[tex]n = 14, p = 0.8[/tex]
P(x>10)
[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501[/tex]
[tex]P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501[/tex]
[tex]P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539[/tex]
[tex]P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440[/tex]
[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981[/tex]
So P(x > 10) = 0.6981.
Calculate the distance between the points F=(-5,9) and J =(-1, 4) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Answer:
√41
Step-by-step explanation:
The distance formula is expressed as;
D = √(y2-y1)²+(x2-x1)²
D = √(4-9)²+(-1+5)²
D = √(-5)²+4²
D = √25+16
D = √41
Hence the required distance between F and J is √41
Help please worth 57 points
Answer:
Always, always.
Help pls help pls help pls
Answer: 3900[tex]\pi[/tex] ft^3
if you use the formula on how to find the volume of a cone
V=[tex]\pi[/tex]r^2*h/3
you will insert 30 where the r is, 13 in where h is, after you just solve that and your answer would be 3900[tex]\pi[/tex] ft^3
The area of the semi circle is 8
Answer:
Consider a circle of radius 8 centimetres. Recall that the centre angle in a circle is always 360˚ . However, a semi-circle is a circle cut in half.
Step-by-step explanation:
So, the formula for the area of a semicircle is A = pi * r^2/2. Let's use that formula to calculate the area of a semicircle with a radius of 8 inches. We'll use 3.14 as an approximation of pi. So, now we plug the values into the equation.
Determine the area of the figure shown. Note that each square unit is one unite in length
Answer:
74 units squared
Step-by-step explanation:
we know that the area of a square or rectangle is A = L × w
so we should just separate the object into it's individual rectangles/squares, solve for their areas, then add them together.
so I'll start with the middle square its length is 8 and width is 8 too.
A = 8 × 8
A = 64
now we'll move on to the other small ones to the side.
the one on the right side it's length is 2 and width is 2.
A = 2 × 2
A = 4
and then the last one on the left, Length is 3, width is 2.
A = 2 × 3
A = 6
now we'll add up all of the areas to get the total area.
Total = 64 + 4 + 6
Total = 74 units squared
a street light is mounted at the top of a 15-foot pole. A 6-foot tall man walks away from the pole along a straight path. How long is his shadow when he is 40 feet from the pole
Answer:
[tex]x=26.67[/tex]
Step-by-step explanation:
From the question we are told that:
Height of Pole [tex]h_p=15 foot[/tex]
Height of Man [tex]h_m =6ft[/tex]
Distance from Pole [tex]d_p=40ft[/tex]
Generally the equation for similar Property is mathematically given by
[tex]\frac{h_p}{h_m}=\frac{d_p+x}{x}[/tex]
[tex]x=\frac{h_m*(d_p+x)}{h_p}[/tex]
[tex]x=\frac{6*(40+x)}{15}[/tex]
[tex]x=\frac{240+6x}{15}[/tex]
[tex]x=16+0.4x\\x-0.4x=16[/tex]
[tex]x=16\0.6[/tex]
[tex]x=26.67[/tex]
Determine whether each expression below is always, sometimes, or never equivalent to sin x when 0° < x < 90° ? Can someone help me :(
Answer:
[tex](a)\ \cos(180 - x)[/tex] --- Never true
[tex](b)\ \cos(90 -x)[/tex] --- Always true
[tex](c)\ \cos(x)[/tex] ---- Sometimes true
[tex](d)\ \cos(2x)[/tex] ---- Sometimes true
Step-by-step explanation:
Given
[tex]\sin(x )[/tex]
Required
Determine if the following expression is always, sometimes of never true
[tex](a)\ \cos(180 - x)[/tex]
Expand using cosine rule
[tex]\cos(180 - x) = \cos(180)\cos(x) + \sin(180)\sin(x)[/tex]
[tex]\cos(180) = -1\ \ \sin(180) =0[/tex]
So, we have:
[tex]\cos(180 - x) = -1*\cos(x) + 0*\sin(x)[/tex]
[tex]\cos(180 - x) = -\cos(x) + 0[/tex]
[tex]\cos(180 - x) = -\cos(x)[/tex]
[tex]-\cos(x) \ne \sin(x)[/tex]
Hence: (a) is never true
[tex](b)\ \cos(90 -x)[/tex]
Expand using cosine rule
[tex]\cos(90 -x) = \cos(90)\cos(x) + \sin(90)\sin(x)[/tex]
[tex]\cos(90) = 0\ \ \sin(90) =1[/tex]
So, we have:
[tex]\cos(90 -x) = 0*\cos(x) + 1*\sin(x)[/tex]
[tex]\cos(90 -x) = 0+ \sin(x)[/tex]
[tex]\cos(90 -x) = \sin(x)[/tex]
Hence: (b) is always true
[tex](c)\ \cos(x)[/tex]
If
[tex]\sin(x) = \cos(x)[/tex]
Then:
[tex]x + x = 90[/tex]
[tex]2x = 90[/tex]
Divide both sides by 2
[tex]x = 45[/tex]
(c) is only true for [tex]x = 45[/tex]
Hence: (c) is sometimes true
[tex](d)\ \cos(2x)[/tex]
If
[tex]\sin(x) = \cos(2x)[/tex]
Then:
[tex]x + 2x = 90[/tex]
[tex]3x = 90[/tex]
Divide both sides by 2
[tex]x = 30[/tex]
(d) is only true for [tex]x = 30[/tex]
Hence: (d) is sometimes true
Solve the equation s - 12 = 20. ?
Answer:
s=32
Step-by-step explanation:
1. Move the constant to the right hand side and change it's sign so
s=20+12
2. Than calcuate s=20+12 which equals 32
so the solution is 32
a number n is greater than 22
10 POINTS PLEASE HELP) Select the correct graph for the function ƒ(x) = 3x + 4.
LOOK AT PICS FOR OPTIONS
Answer:
C
Step-by-step explanation:
4 is the y-intercept and 3 is the slope making the answer C.
As per the data the graph (A) represents the graph of the function f(x) = 3x+4 option (C) is correct.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of the function:
f(x) = 3x + 4
Let's plug x = 0
f(0) = 4
Let's plug x = 1
f(1) = 7
Let's plug x = -1
f(-1) = 1
Thus, as per the data above the graph (C) represents the graph of the function f(x) = 3x+4 option (C) is correct.
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The following dot plots describe the test scores on Mr. Santos’s final exam.
The second-period class is represented on a number line where the numbers fifty-five to ninety-five are plotted at intervals of five. There is one bullet each plotted above fifty-five, seventy, and ninety-five. Six bullets each are plotted above seventy-five and eighty. Two bullets are plotted above eighty-five and three bullets are plotted above ninety.
The sixth-period class is represented on a number line where the numbers fifty-five to ninety-five are plotted at intervals of five. There is one bullet plotted above sixty-five and two bullets above ninety-five. Three bullets each are plotted above seventy-five and ninety, five bullets above eighty, and six bullets are plotted above eighty-five.
Form a valid inference based on the means of the data sets. Use the drop-down menu to show your answer.
On average, students in the sixth-period class scored
Choose... (Higher, Lower)
as compared to students in the second-period class.
Answer:
It is higher I have no time to explain. Hope it's right!
What is the vertex of the graph of f (x) = 2x2 – 4x ?
Answer:
Step-by-step explanation:
vertex at (x,y)=(1,−1)
axis of symmetry: x=1
mark brailiest
On average, there are 177,000 cars on the road every hour in Los Angeles. 1 point
In March 2020, the coronavirus shutdown, resulted in Los Angeles having
80% fewer cars on the road. How many cars were on the road in March
2020 every hour in Los Angeles, after the 80% reduction?
Answer:
Number of cars on road in 2020 = 35,400 car
Step-by-step explanation:
Given;
Number of cars on road = 177,000
Decrease in cars on road in 2020 = 80%
Find:
Number of cars on road in 2020
Computation:
Number of cars on road in 2020 = Number of cars on road[1 - Decrease in cars on road in 2020]
Number of cars on road in 2020 = 177,000[1-80%]
Number of cars on road in 2020 = 177,000[1-0.80]
Number of cars on road in 2020 = 177,000[0.20]
Number of cars on road in 2020 = 35,400 car
the image will help u-u ssssss
Answer:
The first option:
7,10,8,11
Step-by-step explanation:
It's going in a pattern by counting numerically every other number. It's does this starting from 6 and starting from 4. I'm not sure how to explain this well but I hope you get it.
1. You currently have $4,500 saved in your bank account. You have decided to use $2700.
What percentage of your savings did you use? Show all your work to justify your answer.
Answer:
60%
Step-by-step explanation:
1. 4500/100=45
2. 2700/45=60
The reason why is because 45 is 1%, so the way to find the percent is to divide 2700 by 45