Answers
y2 - y1/x2 - x1
We take the second y minus the first y
over the second x minus the first x.
So we have -2 - 2/4 - 0.
Simplifying from here, we have -4/4.
This reduces to -1.
So the slope of the line is -1.
Related Questions
What is the solution to -2(8x - 4) < 2x+5
Answers
Answer: x>1/6
Step-by-step explanation:
For this problem, you solve it as if it had an equal sign.
-2(8x-4)<2x+5 [distribute -2]
-16x+8<2x+5 [combine like terms by adding and subtracting on both sides]
3<18x [divide both sides by 18]
x>1/6
A grocer's shop sells carrots, onions and cucumbers.
The ratio of carrots to onions is 3:4
The ratio of onions to cucumbers is 6:5.
Work out the ratio of carrots to cucumbers.
Write the ratio in its simplest form.
Type your answer without using any spaces. You do not need to show any working.
Answers
Answer: 3:4
Step-by-step explanation:
There is a list of seven numbers. The average of the first four numbers is 5, and the average of the last four numbers is 8. If the average of all seven numbers is 6 4/7 , find the number common to both sets of four numbers.
Answers
Answer:
Number common to both sides=6
Step-by-step explanation:
Average of first four numbers=5
4*5=20
Average of the last four numbers=8
4*8=32
Average of all seven numbers=6 4/7
7*6 4/7
Find the number common to both sets of four numbers
Solution
4*5=20
4*8=32
32+20=52
7 * 6 4/7
=7*46/7
=46
Number common to both sides=52-46
=6
50 POINTS
Evaluate each function if f(x) = 5x3 +1, g(x) = – 2x2, and h(x) = - 4x2 – 2x +5
a. f(-8)
b. 9(-6)
c. h(9)
Answers
Answer:
see below
Step-by-step explanation:
f(x) = 5x^3 +1, g(x) = – 2x^2, and h(x) = - 4x^2 – 2x +5
f(-8) = 5(-8)^3 +1 = 5 *(-512) +1 =-2560+1 =-2559
g( -6) = -2 ( -6) ^2 = -2 ( 36) = -72
h(9) = -4( 9)^2 -2(9) +5 = -4 ( 81) -18+5 = -324-18+5=-337
Explanation:
f(-8) = 5(-8)^3 + 1
f(-8) = 5(-512) + 1
f(-8) = -2560 + 1
f(-8) = -2559
g(-6) = -2(-6)^2
g(-6) = -2(36)
g(-6) = -72
h(9) = -4(9)^2 -2(9) + 5
h(9) = -4(81) - 18 + 5
h(9) = -324 - 13
h(9) = -337
The cost for 3.5 pounds of shrimp is $14.63.
Find the unit price in dollars per pound.
If necessary, round your answer to the nearest cent.
Answers
Answer:
$4.18 dollars per pound
Step-by-step explanation:
We can find the price in dollars per pound by dividing the cost by the number of pounds:
14.63/3.5 = 4.18
This means the price in dollars per pound is $4.18
Select the correct answer.
If the range of the function ºf(x) = x/4' is {28, 30, 32, 34, 36}, what is its domain?
Answers
Answer:
A is right. domain = {112, 120, 128, 136, 144}
Step-by-step explanation:
The range is the y-coordinate while the domain is the x-coordinate
y = x/4
x = 4y
domain = {4(28), 4(30), 4(32), 4(34), 4(36)}
= {112, 120, 128, 136, 144}
I need help ASAP bsnbssbbsb
Answers
Answer:
Option A and C
Step-by-step explanation:
An isosceles triangle have:
=> Two equal angles
=> Two sides with the same length
Answer:
A & C
Step-by-step explanation:
The triangle is an isosceles triangle. The two base angles are equal. Two sides of the triangle are same in length. All the angles in the triangle shown are less than 90 degrees.
The table below gives input and output values for the function h(x) = a^x.
Answers
Answer:
It's the first one.
hope it helps :)
Step-by-step explanation:
Look at the table of values below.
Х
у
1.
3
2
7
3
11
Which equation is represented by the table?
O A. y = 2x + 1
OB. y = 3x + 2
O C. y = 4x - 1
OD.y = 5x - 3
Answers
=================================================
Explanation:
Each time x goes up by 1, the y value goes up by 4. The slope must be 4/1 = 4.
You can use the slope formula, picking any two points from the table, to get the same result. Let's say we used the first two rows
m = (y2 - y1)/(x2 - x1)
m = (7-3)/(2-1)
m = 4/1
m = 4
So the answer must be y = 4x-1 as its the only equation with a slope of 4.
To find the y intercept, we plug m = 4 and (x,y) = (1,3) into y = mx+b to solve for b. You can use any (x,y) pair from the table. I picked the first row
y = mx+b
3 = 4(1)+b
3 = 4+b
3-4 = b
-1 = b
b = -1
Since m = 4 and b = -1, we go from y = mx+b to y = 4x+(-1) or y = 4x-1
A pilot wants to arrive at her destination as soon as possible. Air traffic is busy, so she can take off 10 minutes later than expected and will be able to travel three times faster than expected if she waits. Create an equation to represent her total travel time, including wait time, where x is the number of minutes the flight was expected to take.
Answers
Answer:
y = x/3 + 10
Step-by-step explanation:
Let y be the number of minutes the flight takes
She can take off 10 minutes later than expected. She will be able to travel at a speed three times than expected.
Let her expected speed be s, therefore, she can travel at 3s.
x = number of minutes the flight was expected to take.
In terms of distance and speed:
x = d / s ______(1)
where d = total distance traveled
The time for the flight (minus waiting time) is now the division of the distance she traveled and her speed, i.e.:
t = d / 3s
From (1):
=> t = x / 3
The time she spent waiting is 10 minutes.
Therefore, the total time that the flight takes (plus waiting time) is:
y = t + 10
=> y = x/3 + 10
1. Solve.
a) (x + 3)(x - 5) = 0
b) 5(x - 6) (x - 9) = 0
c) (2x + 1) (3x - 5) = 0
d) 2x(x - 3) = 0
Answers
Step-by-step explanation:
2x × 3x +(-5×1)=6x-6=o
Answer: A: x=-3, 5
Step-by-step explanation: Use the quadratic equation or solving system method to get x=-3,5 the other questions are similar!
Stevie and Michael share their profit in a ratio 3:5. Stevie gets £120 more than Michael. How much profit did they make altogether?
Answers
Answer:
£480
Step-by-step explanation:
we can multiply both terms of ratio with same number without changing the ratio.
Example
a:b = ax: bx (here we have multiplied both terms with x)\
Given
Stevie and Michael share their profit in a ratio 3:5
Let the profit for Stevie and Michael be 3x and 5x
Given Stevie gets £120 more than Michael
Profit for Steve = 120 + profit for Michael
3x = 120 + 5x
3x-5x = 120
=> -2x = 120
=> x= -120/2 = -60
As we see profit is negative , hence it cannot be solution.
It can be solved if Stevie and Michael share their profit in a ratio 5:3
(note: in ratio , bigger number should have bigger term in ratio)
Let the profit for Stevie and Michael be 3x and 5x
Given Stevie gets £120 more than Michael
Profit for Steve = 120 + profit for Michael
5x = 120 + 3x
5x-xx = 120
=> 2x = 120
=> x= x120/2 = 60
Profit for stevei = 5x =5*60 = 300
Profit for Michael = 3x = 3*60 = 180
Total profit for them together = 300 + 180 = 480 Answer.
Of a certain road 7.264km are down hill, 3.873km are up hill and 6.89 are level.what is the length of the road pls urgent tnx
Answers
Answer:
18.027
Step-by-step explanation:
7.264+3.873+6.89
18.027
Just divide and check,
(x^2 + 7x + 10) ÷ (x + 2)
Answers
Answer:
x+5
Step-by-step explanation:
so first you would divide by x (which means you would multiply x+2 by -x)
x^2 + 7x + 10
-x^2 - 2x
5x + 10
then you would divide by 5 (which means you would multiply x+2 by -5)
5x + 10
5x +10
0
So then to check it you would multiply x+5 by x+2
(x+5)(x+2)
x^2 + 2x + 5x + 10
then simplify to get
x^2 + 7x + 10
CAN I GET SOME HELP ASAP PLEASE
Answers
Answer:
11.2 - B to C12 - B to A8.8 - A to CYou have to multiply all the sides by 4.
B to C = 2.8*4
2.8 * 4 = 11.2
B to A = 3*4
3*4 = 12
A to C = 2.2*4
2.2*4 = 8.8
Hope this helped!
I NEED HELP PLEASE, THANKS! :)
Answers
Answer: A
Step-by-step explanation:
The standard form of a cosine equation is: y = A cos (Bx - C) + D where
Amplitude (A) is the distance from the center to the maxPeriod (P) is the length of the function = 2π/B Phase Shift is the distance the max is moved from the y-axis = C/BCenter (D) is the imaginary line between the max and minPlot the points (see graph below).
A = 28
[tex]\dfrac{1}{2}P=6\quad \rightarrow \quad P=12\\\\\\P=\dfrac{2\pi}{B}\qquad \rightarrow \qquad 12=\dfrac{2\pi}{B}\qquad \rightarrow \qquad \large\bold{B=\dfrac{\pi}{6}}[/tex]
Phase Shift = 7 = C/B
[tex]7=\dfrac{C}{\frac{\pi}{6}}\qquad \rightarrow \qquad \large\bold{C=\dfrac{7\pi}{6}}[/tex]
D = 49
Input the values of A, B, C, and D into the standard form of a cosine equation to get:
[tex]\large\boxed{y=28\cos \bigg(\dfrac{\pi}{6}x-\dfrac{7\pi}{6}\bigg)+49}[/tex]
A 4cm ladder rest against a vertival wall with it's foot 2 m from the wall. How far up the wall does the ladder reach?
Answers
ADDISON RAE mixed L of water with 1 L vegetable oil. Which fluid will be floating? Why? The total volume is 2 L. If water’s density is 1 g/cm^3 and the oil’s density is 0.9 1 g/cm^3, what is the density of the mixture? How about 1.9L of water and 0.1 L of the same oil?
Answers
Answer:
The FitnessGram Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly but gets faster each minute after you hear this signal bodeboop. A sing lap should be completed every time you hear this sound. ding Remember to run in a straight line and run as long as possible. The second time you fail to complete a lap before the sound, your test is over. The test will begin on the word start. On your mark. Get ready!… Start
Brian rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that less than 1.
Answers
Answer: The probability of getting a total less than 1 is 0%
Step-by-step explanation: The minimum roll for any pair of fair dice is 2. Already greater than 1.
It seems like a trick question, but in probability, you have to consider that some events are impossible!
13 At the beginning of 2009, Mr Veale bought a company.
The value of the company was £50 000
Each year the value of the company increased by 2%.
(a) Calculate the value of the company at the beginning of 2017
Give your answer correct to the nearest £100
Answers
Answer:
£58,800
Step-by-step explanation:
The answer can be calculated using
FV=p(1+r/n)^nt
P=£50,000
r=2%=0.02
n=12
t=2009 to 2017=8 years
FV=p(1+r/n)^nt
=50,000(1+0.02/12)^12*8
=50,000(1+0.0017)^96
=50,000(1.0017)^96
=50,000(1.1771)
=58,855
FV=58,855
To the nearest £100=£58,800
between which to whole numbers does the square root of 119 lie?
Answers
Answer:
10 and 11
Step-by-step explanation:
[tex]1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2, 9^2, 10^2, 11^2\\1, 4, 9, 16, 25, 36,49,64,81,100,121[/tex]
The [tex]\sqrt{119}[/tex] lies between whole number 10 and 11 since it lies between 100-121 which square rooted, is 10 and 11.
Answer:
Between 10 and 11
Step-by-step explanation:
10 squared (10 x 10) is 100 and 11 squared (11 x 11) is 121, the number 119 is between 100 and 121, therefore, the the square root of 119 lies between 10 and 11.
Which number sentence is NOT true? A. B. |-3| = -3 C. D. HELP PLEASE ILL GIVE BRAINLIEST!!!
Answers
Answer:
it looks like the question is not complete but anything in a bracket like(-3) since tjere is no number in front of it or anything to divide it if the number is alone there is no need for the bracket
Answer:
A
Step-by-step explanation:
five whole numbers written in order the mean an the median of the five numbers are the same what is the value of x and y
Answers
Answer: 2, 4, 6, 8, 10
Step-by-step explanation:
Can you please help me I really need help please help me thank you
Answers
Answer:
a) x = 17/8
b) x = 23
c) x = -8/11.
Step-by-step explanation:
a)
-3x + 5 = 5x - 12
Add 3x to both sides:
5 = 8x - 12
Add 12 to both sides:
17 = 8x
Divide both sides by 8:
17/8 = 8x/8
x = 17/8.
---------------------
b)
6(x-3)-4(x+2) = 20
Distribute:
6x - 18 - 4x - 8 = 20
Combine like terms:
2x - 26 = 20
Add 26 to both sides:
2x = 46
Divide both sides by 2:
x = 23.
---------------------
c)
-2/5(x + 3) = 1/3(x - 2)
Distribute:
-2/5x - 6/5 = 1/3x - 2/3
Add 2/5x to both sides by creating a common denominator:
-6/15x - 6/5 = 5/15x - 2/3
-6/5 = 11/15x - 2/3
Add 2/3 to both sides. Create common denominator:
-18/15 = 11/15x - 10/15
-8/15 = 11/15x.
Divide both sides by 11/15:
[tex]\frac{-8}{15}* \frac{15}{11} = \frac{-8}{11} = x[/tex]
x = -8/11.
Find the solution to the equation graphically. 10x - 10 = x + 10
Answers
Answer: x = [tex]2\frac{2}{9}[/tex]
Step-by-step explanation:
10x - 10 = x + 10
Subtract(x)
9x - 10 = 10
Add(10)
9x = 20
Divide(9)
x = [tex]2\frac{2}{9}[/tex]
Hope it helps <3
Answer:
x = 20/9
Step-by-step explanation:
10x - 10 = x + 10
Subtract x on both sides.
Add 10 on both sides.
10x - x = 10 + 10
Combine like terms.
9x = 20
Divide 9 on both sides.
x = 20/9
PLEASE HELP ME IS FOR TOMMOROW
Answers
Answer:
65°
Step-by-step explanation:
The missing angle is x°
tan x° = [tex]\frac{opposite }{adjacent}[/tex]
tan x° = [tex]\frac{850}{400\\}[/tex]
tan x° = 2.125
Using a calculator insert
tan^(-1)(2.125) ≈ 65° (after rouding the the nearest unit)
PLEASE HELP ME!! explain this to me I am so confused.
Answers
Answer:
2
Step-by-step explanation:
sec∅ is equal to 1/cos∅ or (hypotenuse over adjacent).
With that in mind:
sec∅ = 2/1
sec∅ = 2
Answer:
B. 2
Step-by-step explanation:
We need to find the value of secant for this triangle.
Remember the trigonometric functions: secant = hypotenuse / adjacent, where the hypotenuse is the longest side (2 in this case), and the adjacent is the side right next to the labelled angle but is not the hypotenuse (1 in this case).
Plugging the values into the equation yields:
sec(θ) = hypotenuse / adjacent
sec(θ) = 2 / 1 = 2
The answer is thus B.
~ an aesthetics lover
1. A point on the ground is 50 feet from my house. The angle of elevation to the top of the house is 48 Find the height of the house to the nearest tenth
2. A bird is flying at a height of 2 meters above the sea level. The angle of depression from the bird to the fish it sees on the surface of the ocean is 15^c irc. Find the distance the bird must fly to be directly above the fish. Round to the nearest tenth
Please help me as soon as possible! I have to get this done before tomorrow! Please helpppp
Answers
Answer:
(1)55.5 feet
(2)7.5 feet
Step-by-step explanation:
Question 1
The diagram is attached below.
Using Trigonometric ratio
[tex]\tan 48^\circ = \dfrac{h}{50} \\h=50 \times \tan 48^\circ\\h=55.5$ feet (to the nearest tenth)[/tex]
The height of the house is 55.5 feet to the nearest tenth.
Question 2
In the diagram, we are required to find the distance the bird must fly to be directly above the fish. This has been represented by x.
Using Trigonometric ratio
[tex]\tan 15^\circ = \dfrac{2}{x} \\x \tan 15^\circ=2\\x=2 \div \tan 15^\circ\\x=7.5 $ feet (to the nearest tenth)[/tex]
The distance the bird must fly to be directly above the fish is 7.5 feet.
245 x 20 remander2/13
a) Find the value of
Write your answer correct to the nearest 10.
b) Find the value of square root of 58 - 29 + 38
Write your answer correct to 2 decimal places.
Answers
Answer:
1) 245 x 20 remander2/13 = 4940
2) square root of 58 - 29 + 38
= 8.19
Step-by-step explanation:
245 x 20 remander2/13= 245* 20 2/13
245 x 20 remander2/13= 245 * 262/13
245 x 20 remander2/13= (245*262)/13
245 x 20 remander2/13 =64190/13
245 x 20 remander2/13= 4937.69
245 x 20 remander2/13 = 4940
square root of 58 - 29 + 38
= √(58-29+38)
square root of 58 - 29 + 38
= √(96-29)
square root of 58 - 29 + 38
= √(67)
square root of 58 - 29 + 38
= 8.185
square root of 58 - 29 + 38
= 8.19
can someone help me plz
Answers
Answer:
7 cm
Step-by-step explanation:
The area of a right triangle is given by
A = 1/2 bh
21 = 1/2 y* 6
21 = 3y
Divide each side by 3
21/3 = 3y/3
7 = y
The base is 7 cm
Area formula: A = bh/2
We have a height of 6, a base of y, and a area of 21.
Fill in and solve:
21 = y * 6 / 2
21 = 6y/2
21 = 3y
7 = y
Therefore, the base is 7
Best of Luck!