Answer:
A function that changes the same way can be a linear function.
y = a*x + b.
Where the rate of change (this is, how much changes y when x increases or decreases) is defined by the coefficient a, that is constant.
for example, suppose that when x = x0, we have y = y0
y0 = a*x0 + b.
Now x0 increases by one unit, to (x0 + 1)
y = a*(x0 + 1) + b = (a*x0 + b) + a = y0 + a.
Then if x increases (or decreases) 1 unit, y increases (or decreases) a units.
Now, we can define the rate of change of a function as it's derivate with respect to some variable.
In this case, if we derive with respect to x, we have:
y' = a
Then the rate of change is constant.
Create the polynomial which has roots 3and 2
Answer:
f(x) = x² - 5x + 6
Step-by-step explanation:
Given a root of a polynomial x = a then the factor is (x - a)
Here the roots are x = 3 and x = 2 , thus the corresponding factors are
(x - 3) and (x - 2)
The polynomial is then the product of the factors, that is
f(x) = (x - 3)(x - 2) ← expand using FOIL
= x² - 5x + 6
Find the measure of a
Answer:
49
Step-by-step explanation:
a+87=136
a=136-87
a=49
A submarine begins at -212 feet below sea level. If
the submarine plans to descend at 15 feet per minutes,
how long will it take the submarine to reach a depth of
-287 feet?
A. 75 minutes C. 7 minutes
B. 8 minutes D. 5 minutes
Answer:
Step-by-step explanation:
Ending depth = -287
Starting depth= -212
Difference = -75 feet
The submarine plans on dropping 15 feet a minute.
Time = displacement / time = -75/-15 = 5 minutes.
Answer: D
Lauren needs 3.6 meters of ribbon to make a bow. She
cuts the ribbon off a roll that has 26.45 meters of ribbon.
How many meters of ribbon are left on the roll?
Find the distance between c(-6,5)and D(-3,1)
Answer:
7
Step-by-step explanation:
On subtracting 6 from three times of a number, we get 15. Then the number is
Answer:
Step-by-step explanation:
If we take the number as 7 so 3 times 7 is
3 x 7 = 21
Subtracted by 6 = 21 - 6= 15
So the number is 7
Answer:
7
Step-by-step explanation
Add the subtracted value to the other given value
15+6=21
Since we know it is 3 times the number, divide by 3 to get the number
21/3=7
Check:
21=3x7
21=21
WILL GIVE BRAINLIEST! Find an equation of the circle and sketch it if it has: Tangent to y-axis, r=5, contains (10, 7)
Center = (5,7)
Radius = 5
======================================================
Explanation:
The circle must be tangent to the y axis, and it has a radius of 5, so that means the center (h,k) must either be on the line x = 5 or x = -5, since those vertical lines are exactly five units away from the y axis.
But we're also told that (10,7) must be on the circle. That rules out x = -5 because the distance from (10,7) to (-5,k) is going to be larger than 5. I recommend drawing out a right triangle to see why this is the case.
So the center (h,k) must be on the line x = 5.
The center is the point (h,k) = (5,k)
Plug that h value along with (x,y) = (10,7) and r = 5 into the equation below
Solve for k.
(x-h)^2 + (y-k)^2 = r^2
(x-5)^2 + (y-k)^2 = 5^2 .... plug in h = 5 and r = 5
(10-5)^2 + (7-k)^2 = 25 ... plug in x = 10 and y = 7
25 + (7-k)^2 = 25
(7-k)^2 = 25-25
(7-k)^2 = 0
7-k = sqrt(0)
7-k = 0
-k = 0-7
-k = -7
k = 7
The center is (h,k) = (5,7)
We have (x-h)^2 + (y-k)^2 = r^2 updating to (x-5)^2 + (y-7)^2 = 25
The equation of the circle is (x-5)^2 + (y-7)^2 is25 . The center of the circle is Center is (5,7) .Radius of the circle is 5
What is equation of the circle?Circle's basic equation is represented by:
(x-h)2 + (y-k)2 = r2
where the radius is r and the circle's center's coordinates are (h,k).
Let's first consider what a circle is before determining its equation. A circle is a collection of all points in a plane that are uniformly distanced from a fixed point. The fixed point is referred to as the circle's center. The radius of a circle is the separation between the center and any point along its circumference. In this article, we'll explain what a circle's equation looks like in standard form and show you how to calculate a circle's equation when its center is both the origin and another point.
The center (h,k) of the circle, which must be tangent to the y axis and have a radius of 5, must either be on the line x = 5 or x = -5 since both vertical lines are both located exactly five units from the y axis.
The need that (10,7) be on the circle is also stated, though. That eliminates the possibility of x = -5 because the distance from (10,7) to (-5,k) will be more than 5. To understand why this is the case, I advise you to sketch a right triangle.
Therefore, the line x = 5 must contain the center (h,k).
The point (h,k) = is the center (5,k)
Given ,
In the equation below, enter that h value along with (x,y) = (10,7) and r = 5.
Calculate k using the formula.
(x-h)^2 + (y-k)^2 = r^2
(x-5)^2 + (y-k)^2 = 5^2 add a h = 5 and r = 5 plug.
(10-5)^2 + (7-k)^2 = 25 Input x = 10 and y = 7
25 + (7-k)^2 = 25
(7-k)^2 = 25-25
(7-k)^2 = 0
7-k = sqrt (0)
7-k = 0
-k = 0-7
-k = -7
k = 7
(h,k) = is the center (5,7)
Updated to (x-5) + (y-7) = 25, we have (x-h) + (y-k) = r2.
Therefore The equation of the circle is (x-5)^2 + (y-7)^2 is25
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I really need help rn I got 5 mins left
Please help me with these questions! Legit answers only please!
Answer:
Values of y are:
2 1 -1
2 -1 -4
2x – 3 > 2(x-5)
What’s the answer
Answer:
0>-7
true for all X
aka (-infinite, infinite)
Tammy buys a 4-gigabyte memory card for her camera. Dijonea buys a memory card with twice as much storage as Tammy’s. One gigabyte is 1,024 megabytes. How many megabytes of storage does Dijonea have on her memory card?
Answer:
Dijonea have 8192 megabytes on her memory card
Step-by-step explanation:
Capacity of Tammy's memory card = 4-gigabyte
given that Dijonea buys a memory card with twice as much storage as Tammy’s
Thus,
Capacity of Dijonea's memory card = 2*Capacity of Tammy's memory card
Capacity of Dijonea's memory card = 2*4-gigabyte = 8-gigabyte
Given that
1 gigabyte = 1,024 megabytes
we have to find value of 8 gigabyte in terms of megabytes
for that we multiple both side in above equation by 8
1 *8 gigabyte = 1,024 *8 megabytes
8 gigabyte = 8192 megabytes
Thus, Dijonea have 8192 megabytes on her memory card
1) х + 4 - 6x = 14
Answer:
10- 14 -4
Step-by-step explanation:
so practically what I was saying is 6 +4equals 10 and then 14minus10 equals 4
Answer:
x-6x=14-4
5x=10
X=10/5
X=2
if i get this wrong im gonna fail plsfkdsjsdkl
Answer:
An apple, potato, and onion all taste the same if you eat them with your nose plugged
Step-by-step explanation:
There are 12 girls and 15 boys in a class. The teacher wants to make reading groups with the same number of girls and boys in each group. What is the greatest number of reading groups that can be made
Answer:3
Step-by-step explanation:
Over a period of 12 hours the temperature dropped 36oF. What was the average change in temperature in one hour?
Answer:
The average change of temperature in one hour is -3
Step-by-step explanation:
You had to divide 36 by 12
please help
thanks in advance
Answer:
D. d=6.9r
Step-by-step explanation:
what angle is this??
Answer:
Acute Triangle
Step-by-step explanation:
Since all of the numbers are below 90 degrees, therefore, it makes it into an acute triangle.
Hope this helps! Stay safe!
HELPPPP NOW I WILL GIVE U THE BRAINLIEST
The shop has 1,080 ounces of cranberry juice and 670 ounces of passion fruit juice.
If the juices are used to make Crazy Cranberry smoothies, which juice will run out first?
The ___ juice would run out first.
How much of the other juice will be left over?
There will be ____ounces of passion fruit juice left over.
Answer: i need to know how many ounces of each juice are needed per smoothie
Step-by-step explanation:
solve the equation. x^2+49=0
a.) no real solution.
b.) x= 7
c.) x= -7
d.) x= -7 and x= 7
Answer:
C
Step-by-step explanation:
-7 squared is -49, -49 plus 49 is 0.
The image above shows a linear pair. Solve for x:
x = 12.14
x = 12.14
x = 25
x = 25
x = 28.33
x = 28.33
x = 58.33
ANSWER FAST PLEASE WILL GIVE BRAINLIEST!!!!
Answer:
x = 25 :)
Step-by-step explanation:
(5x+10)+(2x-5)=180
then solve!
hope this helps
Answer:
The answer is X = 25
Step-by-step explanation:
#5 PLS HELP I WILL GIVE BRAINLIEST
Answer is C) y = 7x
Pls vote me as Brainliest
Please Help me! I'm Desperate!
Answer:
a,c,b
Step-by-step explanation:
What is the next number in the pattern below?
3, 9, 27, 81
Answer:
243
Step-by-step explanation:
the reason why it's 243 is because 3 x 3 = 9, 9 x 3 = 27, and 81 x 3 = 243.
Answer: Step-by-step explanation: 243
Lets look at the difference between the first two numbers (3 and 9). to get from 3 to 9, we either have to multiply by 3, or add 6.
Next, let's look at the difference between 9 and 27. to get from 9 to 27, you have to multilpy by 3, or add 18.
If we conitnue to multiply the previous by 3, we get the following number, therefore we know the answer is to multiply by 3.
if we multiply 81 by 3, we get 243
Which Input value corresponds to f(x) = 4?
A-6
B-1
c. 1
D.2
E. 4
F. 7
G. 9
Answer:
4
Step-by-step explanation:
I am not 100% sure but it should be 4
The input values that corresponds to f(x) = 4 are -1 and 8.
The correct answers are A and G.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given function:
f(x) = 4
To find the input value of x;
Let the function,
y = f(x)
4 = f(x)
That means, y = 4.
From the attached graph;
We interpreted two values
x = -1 and 9 where f(x) = 4
Therefore, -1 and 9 are the values.
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MATTRICES PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!
Answer:
I think the best answer for me would be c if thats wrong sry
I hope this helps :)
What do I put in boxes explain
GIVING BRAINIEST
Answer: does, each input has two outputs
Step-by-step explanation:
Answer:
does represent a function because it intersects at more than one point, the relation is a function.
Step-by-step explanation:
You can tell whether a relation is a function by plotting the numbers on a graph and applying the vertical line test. If no vertical line passing through the graph intersects it at more than one point, the relation is a function.
At the US Naval academy, the ratio of female students to male students is 1:19. If there are 209
female students enrolled, what is the total number of students in the school?
The length of a rectangle is eight centimeters less than twice its width. If the perimeter of
the rectangle is 20 centimeters, find its dimensions.
Answer:
width of given rectangle = 6 cm
length of given rectangle = 4 cm
Step-by-step explanation:
Let the breadth be x cm
given that
The length of a rectangle is eight centimeters less than twice its width
length of rectangle in terms of x = 2(breadth ) - 8 = 2x - 8
we know perimeter of rectangle is given = 2(l + b)
thus, perimeter of given rectangle is = 2 ( x + 2x - 8) = 6x - 16
also given perimeter of the rectangle is 20 centimeters
thus,
6x - 16 = 20
6x = 20 + 16 = 36
x = 36/6 = 6
Thus,
width of given rectangle = 6 cm
length of given rectangle = 2*6 - 8 = 4 cm
Which of the capital letters G, I, J, L, or Q has at least one line of symmetry?
Letters that have lines of symmetry is : I
What is reflectional symmetry?Consider a plane. Let a design or shape on that plane. Now consider an axis. If we think of that axis as a mirror, and on the opposite side of that axis create the image of the shape, then if the shape's image looks exactly as the shape itself, then that shape is called to have a reflectional symmetry.
The lines of symmetry can be found as vertical or horizontal. Letters O, H, I. X have 2 lines of symmetry and other have 1.
At least one line of symmetry have letters:
A, B, C, D, E, H, I, M, O, T, U, V, W, X, Y ( you can choose one ).
The letter G has a no axis of symmetry and letter L has a horizontal axis of symmetry.
The letter I is the right one because it is a half and both look the same.
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A township is a U.S. land measurement of about 36 square miles. About how many square miles are in 2 1/2 township
Answer: 90 sqm
Step-by-step explanation:
The township's land measurement is 36 square miles. If you want to know the measurement in 2 1/2 townships you need to multiply 2 1/2 times the square miles in a single township.
Step 1: Convert 2 1/2 to an improper fraction.
2 1/2 = 5/2
Step 2: Multiply
5/2 x 36/1 = 180/2 = 90 sqm