Write the equation of the line passing through the points (10, 50) and (25, 20).
Answers
To write the equation, we need the slope and y-intercept.
Remember that slope is the same as rate of change
or the change in y over the change in x.
Start by setting up a table with x and y values
which I have provided below.
Filling out our table, our given points are (10, 50) and (25, 20).
In the y column, we can see that the value of y
goes from 50 to 20 so it decreases by -30.
This means that the change in y is -30.
In the x column, we can see that the value of x goes from 10 to 25
so it increases by 15 which means that the change in x is 15.
So the rate of change is -30/15 which simplifies to -2.
To find b, we can use any ordered pair
in our table as the values for x and y.
Let's use the first ordered pair.
So we have 50 = -2(10) + b.
Solving from here, we get 50 = -20 + b.
Now add 20 to both sides to get 70 = b.
So if our slope is -2 and our y-intercept is 70,
we can substitute these values into our formula.
This gives us y = -2x + 70.
Related Questions
When is g(x) = 0 for the function g(x) = 5⋅23x + 4?
Answers
Answer:
4
Step-by-step explanation:
g(x)=0
Plug in 0
5*23(0) + 4
5*(0) + 4
0 + 4
= 4
Hi!! I need some help with those exercises can anybody help me please !! Thanks you
Answers
Answer:
Step-by-step explanation:
(a+b)^2=a^(2)+2ab+b^(2)
(a-b)^2=a^(2)-2ab+b^(2)
13)
(x+2)^(2)-(x-1)^2
x^(2)+4x+4-(x^(2)-2x+1)
x^(2)+4x+4-x^(2)+2x-1
6x+3
15)
(x+5)^(2)-(x+1)^2
x^(2)+10x+25-(x^(2)+2x+1)
x^(2)+10x+25-x^(2)-2x-1
8x+24
( 5 x − 3 √ 6 ) ( 5 x + 3 √ 6 )
Answers
Answer:
b because look at the notes and study
Answer:
[tex]{25x}^{2} - 54[/tex]
Find the counterexample to one of the following statements
1). A triangle cannot have an angle that is greater than 90º .
2). The product of two positive numbers is always greater than their sum.
Answers
Answer:
1) You know that the addition of all interior angles of a triangle always should add up to 180°
Then, for example, we can construct a triangle with angles
100°, 40°, 40° such that
100° + 40° + 40° = 180°
So we have an example of a triangle that has one angle greater than 90°.
2) Suppose that we have the positive numbers 0.5 and 1.
The product is: P = 0.5*1 = 0.5
the sum is: S = 0.5 + 1 = 1.5
The sum is greater than the product.
Tammy needs to make a total of 60 deliveries this week. sao far she has completed 42 of them. what percentage of her total deliveries has Tammy completed?
Answers
Answer:
70%
Step-by-step explanation:
42/60= 0.7 = 7/10 = 70%
-4|x|=-12 solve the equation
Answers
Answer:
-4|x| = -12
|x| = 3
x = 3, x = -3
Answer:
x=3, x=-3
Step-by-step explanation:
-4|x|=-12
Divide each side by -4
-4/-4|x|=-12/-4
|x|=3
There are two solutions to an absolute value one positive and one negative
x=3, x=-3
A net has a rectangle at the center and 4 triangles on the sides. The rectangle has a length of 6 meters and height of 2 meters. 2 triangles have a base of 6 meters and height of 8.8 meters. 2 triangles have a base of 2 meters and height of 9 meters. What is the surface area of the rectangular pyramid? m2
Answers
Answer:
Area of the rectangular pyramid is 82.8m²
Step-by-step explanation:
Given
Number of rectangle = 1
Number of triangles = 4
Dimension of Rectangle = Length = 6 metres; Height = 2 metres
Dimension of 2 triangles: Base = 6 metres and Height = 8.8 metres
Dimension of other 2 triangles: Base = 2 metres and Height = 9 metres
Required
Area of the Rectangular Pyramid
To calculate the area of the rectangular pyramid; we simply calculate the area of each of the shapes above;
Calculating the area of the rectangle;
Area = Length * Height
Area = 6m * 2m
Area = 12m²
Calculating the area of the first two triangles;
Base = 6 metres and Height = 8.8 metres
Area of a triangle = 0.5 * Base * Height
Area = 0.5 * 6m * 8.8m
Area = 26.4m²
Area of two triangles = 2 * 26.4m²
Area of two triangles = 52.8m²
Calculating the area of the other two triangles;
Base = 2 metres and Height = 9 metres
Area of a triangle = 0.5 * Base * Height
Area = 0.5 * 2m * 9m
Area = 9m²
Area of two triangles = 2 * 9m²
Area of two triangles = 18m²
The area of the pyramid is the summation of the above calculations;
Area of Rectangular Pyramid = 12m² +52.8m² + 18m²
Area = 82.8m²
Hence, the area of the rectangular pyramid is 82.8m²
Answer:
82.8
Step-by-step explanation:
I just took the test
Have a good day :)
If f(x) = 2x2 + 3 and g(x) = x2 - 7, find (f-9)(x).
O A. 3x2 - 10
O B. 3x2 - 4
O c. x2 + 10
O D. x² - 4
Plzzz helpp
Answers
Answer:
x^2 + 10
Step-by-step explanation:
f(x) = 2x^2 + 3
g(x) = x^2 - 7,
(f-g)(x) = 2x^2 +3 - ( x^2 -7)
Distribute the minus sign
= 2x^2 +3 -x^2 +7
Combine like terms
= x^2 +10
how do you compare 7/8 ___ 15/16 ?
Answers
Answer:
7/8 < 15/16
Step-by-step explanation:
Get a common denominator of 16
7/8 *2/2
14/16
14/16 < 15/16
so 7/8 < 15/16
Find the value of x !!!
Answers
Answer:
x = 5
Step-by-step explanation:
From the Euclidean theorem
10^2 = x(x + 15)
100 = x(x+15) from this equation we can conclude that x = 5 and when
added to 15 it'd be 20 and multiplied by itself the result is equal to 100
Please somebody help me with this ASAP!!!
Answers
Answer:
Please mark me brainliest and I hope this helps!
Answer: 52
Step-by-step explanation:
The length of the path is shown by the lines that trace the outside of the shape. The lines are equal to: 13 + 13 + 9 + 3 + 4 + 10
That is equal to 26 + 9 + 7 + 10.
Which is equal to 35 + 17.
And our final answer is 52.
i need the answer now!!
Answers
Answer:
10 ft^3
Step-by-step explanation:
if a cube is 1/3ft then 3 cubes = 1ft
then 30 cubes = 10ft^3
PLEASE HELP WILL GIVE BRAINIEST AND MANY POINTS
Part A: Create a fourth-degree polynomial with three terms in standard form. How do you know it is in standard form?
Part B: Explain the closure property as it relates to addition of polynomials. Give an example.
Answers
Answer:
5x⁵4x³+2x²+5x+3
Polynomials will be closed under an operation if the operation produces another polynomial. (2x2 + 3x + 4) + (x2 - 5x - 3) = 3x2 - 2x + 1
Step-by-step explanation:
Suppose you want to build a small walkway around your garden so that there is someplace to walk around and work on your vegetables. The garden measures 20‘ x 30‘ and you want to increase the area of the garden to 1000 ft². What is the width of the walkway
1)Approximately 3.3 feet
2) approximately 3.5 feet
3) approximately 3.7 feet
4) approximately3.9 feet
Answers
What is 100 - 50= ?
Then whatever answer you get divide it by 5
Finally you divide it by 10 what do you get for your answer
Answers
Step-by-step explanation:
100-50=50
50/5=10
10/10=1 and
I hope you liked it please mark brainliest50/5= 10
10/10= 1
final answer is 1
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation
A. 10; your car travels for 10 hours.
B. 260 your car travels 260 miles.
C.1/65; your car travels 65 miles every 1 hour.
D.65/1 Your car travels 65 every 1 hour
Answers
Answer:
D
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(390-260)/(6-4)
m=130/2
m=65/1
every hour, a car travels 65 miles
D
Answer:
65/1
Step-by-step explanation:
Melinda works at a cafe. Each day that she works, she records x, the total dollar amount of her customers’ bills and then y, her total daily wages. The table shows her data for 2 weeks. A 2-column table with 11 rows. The first column is labeled x with entries 50, 100, 75, 80, 90, 140, 150, 95, 125, 160, 165. The second column is labeled y with entries 36, 43, 38, 40, 42, 50, 60, 43, 46, 50, 55. A graph shows the horizontal axis numbered 40 to 160 and the vertical axis numbered 10 to 60. A line increases from 0 to 160. According to the line of best fit, what is the minimum amount, to the nearest dollar, Melinda will earn for each day of work, even if she serves no customers? $18 $26 $36 $40
Answers
Answer:
$26
Step-by-step explanation:
In the picture attached, the table, the plot and the line of best fit are shown. There we can see the next equation:
y = 0.177x + 25.936
where x is the total dollar amount of her customers’ bills and then y is her total daily wages.
This means that even if she serves no customers (x = 0) she will earn $26 ($25.936 rounded to the nearest dollar) for each day of work.
Answer:
$26
Step-by-step explanation:
Looking at the graph when x is 0 y is about a little more that 25 but less than 30. Meaning 26 fits the questions answer.
What principal will amount to $3000 if invested at 3% interest compounded
semiannually for 10 years?
Please show the work of the problem
Answers
Answer: $2227.41
Step-by-step explanation:
A = P(1 + r/n)^nt
Can a triangle be drawn with side lengths of 7.3 meters, 4.6 meters, and 11 meters?
Answers
Answer:
Yes
Step-by-step explanation:
A triangle needs to have 2 of its smallest sides(4.6, 7.3) equal to a number greater than the biggest number(11).
4.6 + 7.3 = 11.9
It’s called a Triangle Sum Thereom
Sam has three identical tennis balls with a diameter of 2.7 inches. Determine the volume of all three tennis balls?
Answers
Your answer would be approximately 30.93
Volume of a sphere is V=4 /3πr^3
There are two numbers which sum to 23. If one number is seven less than four times the other, find the numbers.
Answers
Answer:
Numbers are 6 and 17.
Step-by-step explanation:
Let the two numbers are 'a' and 'b'.
"Sum of these numbers = 23"
a + b = 23 --------(1)
"One number is 7 less than 4 times the other"
a = 4b - 7 ---------(2)
Substitute the value of 'a' in equation (1) from equation (2)
(4b - 7) + b = 23
5b - 7 = 23
5b = 23 + 7
5b = 30
b = 6
From equation (2),
a = 4b - 7
a = 4×6 - 7
a = 24 - 7
a = 17
Therefore, the numbers are 6 and 17.
Answer: 7 and 16
Step-by-step explanation:
Let x be the smaller of the two numbers. We are told that the larger number is five less than three times the smaller number x. Therefore, our two numbers are x and 3x−5. Given that the sum is 23, we find that
x+(3x−5)=23
Solving for x, we find that x=7. So the two numbers are 7,16.
what is the value for Z
Answers
Answer: z = 28 degrees
Step-by-step explanation:
Since this is an isosceles triangle, two of the angles are congruent.
180 - 124 = 56
56/2 = 28
Chris deposited $445 in an account that earns 3.4% compounded annually. Find the balance in his account after 6 years.
Answers
Answer:
$535.78
Step-by-step explanation:
First find out the annual earnings. So multiply 3.4% by 445
0.034 x 445 = 15.13
That's what the account earns every year. Now multiply it by 6 to know what it'll get in 6 years.
15.13 x 6 = 90.78
Now add that to the initial value.
90.78 + 445 = 535.78
That's the balance in the account after 6 years...
$535.78
There are 48 students studying a foreign language at the
community college. If the only two foreign languages offered are
French and Spanish, and 28 students are studying French, which of
the following represents the ratio of students studying Spanish to
the total number of foreign language students?
Answers
Answer:
5/12
Step-by-step explanation:
If 28 students are studying French, then the remaining 20 are studying Spanish. The ratio of those studying spanish to the total number of students is 20/48. This can be simplified to 5/12.
Answer:
5 to 12
Step-by-step explanation:
Since 28 students are already taking French, then you have to subtract that from the total students, giving you 20 students who take Spanish. So the ratio for Spanish students to total students would be 20 to 48. But that can be simplified (since all ratios need to be simplified) to 10 to 24. And that can again be simplified to 5 to 12.
Hope this helped!
If one side of a right triangle is 12 feet long and the hypotenuse of the triangle is 7, find the length of the other side of the right triangle. Round to the nearest hundredth.
I might give you a brainliest if your answer is correct and you have a good explanation.
Answers
Answer:
9.74 feet
Step-by-step explanation:
the formula for finding a hypotenuse is [tex]a^{2} + b^{2} = c^{2}[/tex]. We can rearrange that to get: [tex]c^2 - b^2 = a^2[/tex]. So: 49 + b^2 = 144. We get the square root of 95, AKA around 9.74.
Can you people help me please
Answers
Answer:
A: 5/23
Step-by-step explanation:
First, lets take the total amount of coins in the jar: 8 nickels, 10 dimes, 6 quarters, and 22 pennies- for a total of 46 coins.
The question is asking what the odds of pulling a dime are.
Since there is 46 coins in the jar, you can just do a fraction and set it up like this:
10
46
From there just simplify the fraction, 10 / 2 = 5, 46 / 2 = 23. The problem can't be simplified further, so the answer you originally had was correct. 5/23
Hope this helps, give brainliest pls blah blah blah
At soccer practice, Laurel and Erika stook back to back at the center of the field. Erika ran 20 yards south and 13 yards east. Laurel ran 24 yards north and 18 yards west. Once there, Erika kicked a soccer ball in a straight line to Laurel. How far, to the nearest tenth of a yard, did the ball travel to get from Erika to Laurel?
Answers
The value of 3⁵ ÷ 3-⁶
Answers
Answer: 33
Step-by-step explanation:
First we have to figure out what 3⁵ is. It basically means multiply 3 five times. So the equation would be 3 x 3 x 3 x 3 x 3. This equals to 243.
Next we have to figure out what 3⁶ is. It basically means multiply 3 six times. So the equation would be 3 x 3 x 3 x 3 x 3 x 3. This equals to 729.
Then we have to divide 243 by 729. The easiest way to do this is by putting it into a fraction. The fraction would be 243 over 729. When you simplify that fraction, it brings us to the answer, which is 33.
Hope this helped :)
The value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
We have - [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
We have to find its quotient.
Evaluate the following expression - [tex]\frac{a^{n} }{a^{m} }[/tex].You can simplify the expression as follows -
[tex]\frac{a^{n} }{a^{m} }= a^{n-m}[/tex]
According to the question, we have -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
Using the rule mentioned above, we can solve this as -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] = [tex]\frac{3^{5} }{3^{-6} }[/tex] = [tex]3^{5-(-6)} = 3^{11}[/tex]
Expanding [tex]3^{11}[/tex] = 177147
Hence, the value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
To solve more questions on exponents, visit the link below -
https://brainly.com/question/15531260
#SPJ6
Show that (−3) × (−4) = +12 using the distributive property.
Answers
-3x-4= +12
X negative 3 and 4 then add +12 to it.
Can someone please help me
Answers
Answer:
-10
Step-by-step explanation:
im not sure but maybe
Answer:
6
Step-by-step explanation:
b(x)=|x+4|
b(-10)=|-10+4| (subtitute -10 into x)
=|-6|
=6
because any num in modulus will become positive
