Answer:
Slope: -1
y-intercept: 0
The graph of the function y = - x is attached at the end of the answer.
What is a linear function? What is a mathematical function, equation and expression?linear function : A linear function is of the form -[y] = ax + b
It has a degree of one and has only one root.
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the function as -
y = f(x) = - x
We have the following function -
y = - x
The function y = -x is a linear function. Refer to the graph of the function attached. The function has a slope of -1 .
Therefore, the graph of the function y = -x is attached with the answer.
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Each banana weighs 1/2 pound. How many bananas are there in 3 pounds?
Answer:
6
Step-by-step explanation:
3 divided by 1/2 is equal to 6
Answer:
6 bananas are in 3 pounds.
Step-by-step explanation:
Each banana is 0.5 pound, and keep adding more bananas until you reach 3 pounds.
what is the discriminant of f(x)=-x^2-x+5?
a.-21
b.0
c.2
d.21
Answer: d. 21
Step-by-step explanation:
The formula to find a discriminant is b^2-4ac.
ax^2+bx+c is the quadratic equation. In your equation, -1 is a, -1 is b, and 5 is c. Now we can plug in the numbers into the discriminant formula b^2-4ac!
(-1)^2-4(-1)(5)=
1-4(-5)
1+20
21
The discriminant is 21.
Hope this helps!
James is 5'10", Emily is 5'7", Ruby is 6'0", Chad is 6'0", Russell is 5'10", and Ariel is 5'9". What is the median height of the people? A. 5'10 B. 5'9 C. 6'0 D. 5'10 and 6'10
Answer:
A 5'10
Step-by-step explanation:
You have to put the heights in order from least to greatest
5'7, 5'9, 5'10, 5'10, 6'0, 6'0
The middle number is your median. Since there is and even amount of numbers you add the two that are in the middle the divide the sum by two
5'10 + 5'10 = 11'8
11'8 ÷ 2 = 5'10
You bought groceries last week. You used coupons and saved 25% on your grocery bill. You saved $8.80. How much was your bill before coupons?
Answer:
$35.2
Step-by-step explanation:
% saved = 25%
Money saved = $8.80
Let x be the bill before the coupon discount.
25/100 × x = 8.80
x = $35.2
Find the value of x please!!
Answer:
x = 9
Step-by-step explanation:
[tex]\frac{12}{8} = \frac{x}{6}[/tex]
x = [tex]\frac{12}{8}[/tex] x 6 = 9
Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 40 mph. The distance from Raj's house to the airport is 30 miles. If Raj's taxi actually travels at an average speed of 30 mph, how many more minutes does the journey take than expected?
Answer:
15 minutes more, as 60-45mins = 15 minutes
Step-by-step explanation:hope it helps
It will take 15 more minutes for the journey than the expected.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
The distance from Raj's house to the airport is 30 miles.
He expects the taxi to travel at an average speed of 40 mph.
If he travels at a speed of 40 mph, let t be the time taken.
Speed = Distance / Time
40 = 30 / t
t = = 0.75 hours = 45 minutes
If Raj's taxi actually travels at an average speed of 30 mph, let t' be the time taken.
30 = 30 / t'
t' = 1 hour = 60 minutes.
t' - t = 60 - 45 = 15 minutes
Hence the journey takes 15 more minutes than expected.
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Kiran says we should add the constraint 1 is greater than or less than 0
1. What is the reasoning behind this constraint?
-
2. What other "natural constraint" like this should be added?
Find the sum of the first 48 terms of the following series, to the nearest integer7,11,15,...
Answer:
7
Step-by-step explanation:
The sum of first 48 terms of the given series is 4848.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form sum of n terms of arithmetic sequence is Sₙ=n/2[2a+(n-1)d].
The given arithmetic sequence is 7,11,15,......
Here, a=7, d=11-7=4 and n=48
Now, S₄₈=48/2[2×7+(48-1)×4]
= 24(14+47×4)
= 24(14+188)
= 24×202
= 4848
Therefore, the sum of first 48 terms of the given series is 4848.
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please help asap. I will award
Answer:
12
Step-by-step explanation:
hope this helps! :)
A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far can he travel in the taxi cab? Round your answer to the nearest mile.
Answer:
11.6 should be your answer!
Step-by-step explanation:
Im so sorry if its wrong!
Hope this helps!!
( > .< )
Answer:
34 miles
Step-by-step explanation:
3.50 + 1.65m <60
1.65m< 60-3.50
1.65m<56.5
1.65m/1.65< 56.5/1.65
m<34.24242424
m<34
Which one is greater -3 1/4 or 3 6/25
Answer:
3 6/25 is greater
Step-by-step explanation:
Because -3 1/4 is a negative number
it is 3 1/4coz to be equal the other one had to be 3 6/24
Mrs. Smith decides to build her own vegetable garden. She goes to Home Depot and buys material to
build beds for the vegetables she'll grow. The beds are big wooden boxes. Each bed is 10 feet long, 5 feet
wide, and 1 % feet tall. She builds 4 beds for her vegetable garden and fills each bed with dirt. The bags
of dirt each contain 1.5 ft of dirt. How many bags of soil did Mrs. Smith buy to fill all 4 beds?
Answer: 4 bags
Step-by-step explanation: since the height of the wooden boxes are 1.5 feet tall and they need the box to be full it will be 4 bags. Also because each bag contains 1.5 feet of dirt and that’s the exact amount we need for one box.
HELP ASAP!
A health insurance provider had net incomes of $356 million, $460 million and -$166 million in 3 consecutive years. What was the health provider's total net income for these three years?
Step-by-step explanation:
The total income would be $650 million.
Please help me!!! :(
Answer:
Green Material: 129.6 in³
Brown Material: 194.4 in³
Step-by-step explanation:
The volume of the bin is 4×18×9 in³ or 648 in³
20% of 648 is 129.6 in³ (brown material)
30% of 648 is 194.4 in³ (green material)
Please help me this is due in less than 45 minutes!
Answer:
1.) It's 20th century painting
2.) 0.5 probability
Step-by-step explanation:
If the universal = 60
We need to first get the value of X. That is,
x (x - 2) + x + 2x + 8 + 10 = 60
First open the bracket
x^2 - 2x + x + 2x + 8 + 10 = 60
x^2 + x + 18 = 60
x^2 + x - 42 = 0
Factorise the above equation
x^2 + 7x - 6x - 42 = 0
x (x + 7) -6(x + 7) = 0
x = 6 or - 7
Since x can't be negative, so we will ignore -7
The value for T = 6(6 - 2) = 6×4 = 24
The value for B = 2(6) + 8 = 12 + 8 = 20
If a painting is chosen from random,
If it's from 20th century, the probability will be 34/60 = 0.567
If it's from British painting, the probability will be 30/60 = 0.5
We can therefore conclude that it's from 20th century painting since it has higher value of probability.
The the probability of choosing a British painting will be 30/60 = 0.5
What is the equation of the line that passes through the point (-7,-1) and has a slope of 1?
Answer:
Step-by-step explanation:
y + 1 = 1(x + 7)
y + 1 = x + 7
y = x + 6
A tree casts a 204 centimeter shadow. A person next to the tree casts a 85 centimeter shadow. If the person is 154 centimeters tall, how tall is the tree to the nearest centimeter?
Answer
would it be 135?
Step-by-step explanation:
A key code must contain 4 numerals. There are 10 numerals available. Using
these numerals, how many different key codes may be created?
O A. 180
O B. 210
O C. 3,060
O D. 5,040
Answer:
C
Step-by-step explanation:
What is the greater of -5
In Circle S with MRST=118 and RS=8 units, find the length of arc RT. Round to the nearest hundredth
Answer:
RT ≈ 16.48 units
Step-by-step explanation:
The measure of arc RT is calculated as
RT = circumference of circle × fraction of circle
= 2πr × [tex]\frac{118}{360}[/tex]
= 2π × 8 × [tex]\frac{118}{360}[/tex]
= 16π × [tex]\frac{118}{360}[/tex] ≈ 16.48 ( to the nearest hundredth )
The length of the arc RT is 8.23 units.
What are the properties of an arc?The characteristics of a circle's arc are:
Measured in linear measures like centimetres, inches, or metres, the arc length is the distance along the arc. It is proportionate to the angle that the arc and circle's centre make.The arc measure, which is expressed in degrees or radians, is the magnitude of the angle that is produced between the centre of the circle and the arc. It varies in accordance with the arc length.Since angle RST is 118 degrees, it subtends 118/360 = 0.3278 (rounded to four decimal places) of the full circumference of the circle. Therefore, the length of arc RT is:
length of arc RT = (0.3278) * (2 * π * radius)
where the radius is half the length of RS. Since RS is given as 8 units, the radius is 4 units. Substituting this into the formula, we get:
length of arc RT = (0.3278) * (2 * π* 4) = 2.0684 * π
Rounding to the nearest hundredth, we get:
length of arc RT ≈ 8.23 units.
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The shape has an area of 60 square inches. Find the value of x.
Answer:
5 inches
Step-by-step explanation:
A=bh
A=bx
60=12x
12x=60
x=5
Answer:
x = 5 In.
Step-by-step explanation:
The area of a parellelogram is usually basically the same as that of a rectangle or square. So the equation for the area of this parellogram is 60/12.
That would give you 5 which makes x equal to 5 inches.
find the distance between 6,-2 and 1,-2
The distance between (6,-2) and (1,-2) is 5.
Answer:
The distance:
[tex]d = 5[/tex]
Step-by-step explanation:
To find the distance between points [tex](6,-2)[/tex] and [tex](1,-2)[/tex], you need the distance formula:
[tex]d = \sqrt{(x_{2} - x_{2})^{2} + (y_{2} - y_{1})^{2}}[/tex]
-Use the given points [tex](6,-2)[/tex] and [tex](1.-2)[/tex] for the distance formula:
[tex]d = \sqrt{(1 - 6)^{2} + (-2 + 2)^{2}}[/tex]
-Then, solve the formula:
[tex]d = \sqrt{(1 - 6)^{2} + (-2 + 2)^{2}}[/tex]
[tex]d = \sqrt{(-5)^{2} + (0)^{2}}[/tex]
[tex]d = \sqrt{25 + 0^{2}}[/tex]
[tex]d = \sqrt{25 + 0}[/tex]
[tex]d = \sqrt{25}[/tex]
[tex]d = 5[/tex]
So, the distance is [tex]5[/tex].
I NEAD HELP ASAP The Lewis family dined at a restaurant. Their bill came to $52, and they plan on leaving a 19% gratuity. This means that the total amount they will pay is 119% of the bill. Which calculation results in the best estimate of the total amount they will pay in dollars? Assume there is no tax. (50) (110 percent) = (50) (100 percent + 10 percent) = (50) (100 percent) + (50) (10 percent) = (50) (1.0) + (50) (0.1) = 50 + 5 = 55 (50) (120 percent) = (50) (100 percent + 20 percent) = (50) (100 percent) + (50) (20 percent) = (50) (1.0) + (50) (0.2) = 50 + 10 = 60 (60) (110 percent) = (60) (100 percent + 10 percent) = (60) (100 percent) + (60) (10 percent) = (60) (1.0) + (60) (0.1) = 60 + 6 = 66 (60) (120 percent) = (60) (100 percent + 20 percent) = (60) (100 percent) + (60) (20 percent) = (60) (1.0) + (60) (0.2) = 60 + 12 = 72
Answer:
Step-by-step explanation:
multiply 52 times 90% +52
Answer:
Option B is the correct answer.
Explanation:
The image below is the correct answer.
100 points, will give brainliest!
Suppose that in circle with center P, and a central angle, ∠OPQ, intersects minor arc OQ, where the measure of arc OQ = 82◦, and the measure of ∠OPQ is (5x – 3) ◦.
What is the value of x?
Thank you so much for helping!
Hope you are doing well
Answer:
x=17
A train travels at a speed of 45 kmph. In 48 minutes, how much distance will it travel? ( with explanation )
Answer:
36 km
Step-by-step explanation:
By dividing 45 by 60 you make it into .75 per minute therefore by multiplying by 48 you get your answer which is 36 km
Answer:
36 km
Step-by-step explanation:
We are given a speed in km per hour. Since 1 hour = 60 minutes, we can find the speed in km per minute.
45 kph = 45 km/hour = 45 km/(60 minutes) = 0.75 km/minute
Now that we know the speed in km per minute, we multiply the speed by 48 minutes to find the distance traveled in 48 minutes.
0.75 km/minute * 48 minutes = 36 km
The length of a rectangle is 9 inches longer than the width. If the area is 205 square inches, find the
rectangle's dimensions. Round your answers to the nearest tenth of an inch.
Answer:
L=19.5in w=10.5in
Step-by-step explanation:
Draw a rectangle. If the length is 9 inches longer than its width, we can write the width as "w" and the length as the width + 9
Area is (width)(Length) = (width)(width+9)
W
----------
| |
| |
| | L = w+9
| |
| |
-----------
A = (w+3)(w)
A = w2 + 9w = 205.
(Problem states that area is 205 sq in)
Need to solve this quadratic equation
w2 + 9y - 205 = 0
Factor:
(w - 10.51) (w + 19.51) = 0
So
w - 10.51 = 0. or. w + 19.51 = 0
Solve these and get
w = 10.51. or. w = -19.51
Only one that makes sense in real life is the positive one.
So the dimensions are
Width = 10.51 inches
Length = 19.51 inches
A planet has a circular orbit around a star. It is a distance of 59,000,000 km from the centre of the star. It orbits at an average speed of 41,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.
Answer:
380 days
Step-by-step explanation:
Problem in post:
The radius of the orbit of the planet is 59,000,000 km.
The orbit is circular, so the length of the orbit is the circumference of a circle with radius 59,000,000 km.
distance = circumference of orbit = 2(pi)r = 2 * 3.14159 * 59,000,000 km = 370,707,933 km
speed = 41,000 km/h
speed = distance/time
time * speed = distance
time = distance/speed
time = (370,707,933 km)/(41,000 km/h) = 9,042 hours
Now we convert hours into earth days.
1 earth day = 24 hours
9,042 hours * (1 day)/(24 hours) = 376.73 days
Answer: 380 days
Problem in comments:
Nina and Jo both ran an 8 km race.
Nina took 45 minutes to run the whole race.
Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km.
If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Solution:
They met at 5 km. Let's find out how long it took Nina to run 5 km.
We can use a proportion.
(8 km)/(45 min) = (5 km)/(x)
x * 8 km = 45 min * 5 km
x = [(45 * 5)/8] min
x = 28.125 min
They met after Nina was running for 28.125 minutes.
Jo started 4 minutes after Nina, so Jo ran for 4 minutes less than Nina. Jo ran 5 km in 24.125 minutes.
speed = distance/time
speed = (5 km)/(24.125 min) * (60 min)/(1 hr)
speed = 12.43523 km/h
Answer: Jo's speed is 12.44 km/h
Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135
Answer:
Please mark be brainliest and I hoped this helped!
x = 45°
Step-by-step explanation:
Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.
Answer:
Step-by-step explanation:
j
Exponential function f is represented by the table.
x 0 1 2 3 4
f(x) 15 7 3 1 0
Function g is an exponential function passing through the points (0,9) and (3,0).
Which statement correctly compares the two functions?
A.
Both functions are decreasing on [0, 3], and function g is decreasing at a faster rate.
B.
Only function g is decreasing on [0, 3], and only function f is positive on that interval.
C.
Only function f is decreasing on [0, 3], and both functions are positive on that interval.
D.
Both functions are decreasing on [0, 3], and function f is decreasing at a faster rate.
Considering the given exponential functions, it is found that the correct statement is:
D. Both functions are decreasing on [0, 3], and function f is decreasing at a faster rate.
What is the behavior of each exponential function?For function f, we have that it is decreasing, as it is greater at x = 0 than at x = 4, and it decreases by an average of 3.75 units when the input changes by 1.For function g, we also have that it is decreasing, as as it is greater at x = 0 than at x = 3, and it decreases by an average of 3 units when the input changes by 1.Hence option D is correct.
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Juan and Adam go to the movie theater and purchase refreshments for their friends,
Juan spends a total of $130.00 on 10 bags of popcorn and 10 drinks.
Adam spends a total of $56.50 on 3 bags of popcorn and 5 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn
and the price of one drink.
Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
Popcorn = $4.25 per bag, Drink = $8.75
Step-by-step explanation:
p = popcorn
d = drinks
10p + 10d = 130
3p + 5d = 56.50
multiply the second equation by -2 and then solve by elimination
-6p - 10d = -113
4p = 17
p = 4.25
3(4.25) + 5d = 56.50
5d = 43.75
d = 8.75
Answer:
10x + 10y = $130.00
3x + 5y = $56.50
Solution: x=4.25 and y=8.75
Step-by-step explanation:
The variable x will be used here to show the price of each bag of popcorn, while y will be used to represent the price of each drink. First we can solve 10x + 10y = 130 for x:
10x + 10y = 130
10x + 10y + -10y = 130 - 10y (Subtract 10y from both sides)
10x = -10y + 130
Now divide 10 by both sides
x = -y + 13
Next, you will substitute -y + 13 for x in 3x + 5y = 56.5:
3x + 5y = 56.5
3(-y + 13) + 5y = 56.5
2y + 39 = 56.5 (Simplify both sides of the equation)
2y + 39 + −39 = 56.5+ −39 (Add -39 to both sides)
2y = 17.5 (Now divide both sides by 2)
y = 8.75
You can check this by substituing 8.75 for y in x = -y + 13