write an exponential function in the form y = ab^x that goes through points (0,20) and (8,5120)
9514 1404 393
Answer:
y = 20·2^x
Step-by-step explanation:
Use the given points to write two equations, then solve for 'a' and 'b'.
20 = a·b^0 = a
5120 = a·b^8 = 20·b^8 ⇒ 256 = b^8
b = 256^(1/8) = 2
Your function is ...
y = 20·2^x
Can you Please Answer, This question
Min and Evan played a video game. Min scored 6,978 points. This is 3 times the number of points that Evan scored.
How many more points did Min score than Evan?
Step-by-step explanation:
Find the score for evan then subtract the points for min and evan tu find the difference
Which equation represents y = x2 + 12x + 27 in vertex form?
y = (x + 6)2 − 9
y = (x + 6)2 + 21
y = (x + 6)2 + 9
y = (x + 6)2 + 27
Answer:
y = (x + 6)² - 9Step-by-step explanation:
Complete the square:
y = x² + 12x + 27
= x² + 2*6*x + 6² - 6² + 27
= (x + 6)² - 36 + 27
= (x + 6)² - 9
Correct choice is A
Which geometric property is illustrated for the lengths of line segments: If DE = FG then FG = DE A. Reflexive Property B. Symmetric Property C. Transitive Property D. this is not a geomtric property as it does not hold
Answer:
I'm sorry I wish if I could help you but not sure of the answe
Answer:
B.
Symmetric Property
Step-by-step explanation:
Find the slope of the line please! Will mark as brainliest :)
Answer:
D. [tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Reading a coordinate graphCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify points from graph
Point (-5, -3)
Point (3, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1--3}{3--5}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{4}{8}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{1}{2}[/tex]Middle school math!!
What does the graph tell you about the solution to the system equation?
Answer:
Step-by-step explanation:
The two lines intersect at one point. At this one point, the two students will have drunken the same amount of liquid.
There is sufficient info here so that one could determine that time and that volume of liquid if desired.
Use the FOIL method to find the product.
(5x-8)(2x + 6)
Answer: 8
Step-by-step explanation:
Answer:
10x² + 14x - 48
Step-by-step explanation:
F: (5x)(2x) = 10x²
O: (5x)(6) = 30x
I: (-8)(2x) = -16x
L: (-8)(6) = -48
combine the two middle terms to get 14x
10x² + 14x - 48
What is the volume of this cylinder?
??
Answer:
197.92
Step-by-step explanation:
pretty simple not hard bub
ILL BRAINLIEST YOU IF YOU HELP ME PLEASE
Answer:
B 15
Step-by-step explanation:
Answer:
15 is correct
Step-by-step explanation:
given the angles are the same we can write it as:
4x-30 =2x
-30=-2x
15=x
with the strategy of writing same angles as an equation, you can solve these math problems hopefully easily yourself.
always get stronger :)
Math help please show work I will mark Brainlist if correct
Answer:
Step-by-step explanation:
(2). 1 yd ≈ 0.9144 m
1 yd³ ≈ 0.76455 m³
2 yd³ ≈ 1.53 m³ ≈ 2 m³
(3). 1 ft ≈ 0.3048 m
1 ft² ≈ 0.0929 m²
162 ft² ≈ 15.1 m²
(4). 1 mi ≈ 1.60934 km
1 mi² ≈ 2.59 km²
503 mi² ≈ 1302.8 km²
Plss help me with this equation
Answer:
x = 110 degree
Step-by-step explanation:
Hope this helps u !!
Write the equation of the line passing through the points (-7,9) and (7,5).
Answer:
[tex]y=-\frac{2}{7} x+7[/tex]
Step-by-step explanation:
First Solve For The Slope Using The Two Given Points!
M = Slope
M = [tex]\frac{y2-y1}{x2-x1}[/tex]
M = [tex]\frac{5-9}{7--7}[/tex] Two negative signs together makes addition!
M = [tex]\frac{-4}{14}[/tex] Move the negative sign (only if the fraction has a negative)
M = [tex]-\frac{4}{14}[/tex] Simplify
M = [tex]-\frac{2}{7}[/tex] Final Answer
Then see how many units the graph goes up = y-intercept
Answer: 7
What is the constant of 8x^2-7x+6
Answer:
6 is the constant
Step-by-step explanation:
8x^2-7x+6
The constant is the term that does not change ( the one with out the variable)
6 is the constant
What is the coefficient of 7(-3x+5) +11y
Answer: -21x+35+11y
Step-by-step explanation:
7(-3x+5) +11y
7x-3 7x5
-21x+35+11y
you can't add, subtract, or anything with this, so this will be your final answer.
The angle measurements in the diagram are represented by the following expressions.
LA=5x-5°
ZB = 3x + 13°
B
Answer:
x=9
Step-by-step explanation:
angle A =angle B (because they are corresponding angles)
5x-5=3x+13
5x-3x=13+5
2x=18
x=18/2
x=9
angle A=5x-5
=5*9-5
=45-5
=40
angle B=3x+13
=3*9+13
=27+13
=40
Answer:
A = B
5X-5 = 3X+13
5X-3X. =13+5
2X =18
X = 9
5X-5
(5×9)-5
45-5
=40
ANGLE A=ANGLE B =40
What are the two ways to show that a triangle is a right triangle?
A. 1. use slope formula to show all 3 sides have opposite reciprocal slopes
2. use distance formula to show 2 sides are the same length
B 1. use slope formula to show opposite sides have the same slopes
2. use distance formula to show Pythagorean Theorem holds true
C 1. use distance formula to show all 3 sides are equal
2. use slope formula to show two sides are parallel
D 1. use distance formula to show Pythagorean Theorem holds true
2. use slope formula to show that two sides have opposite reciprocal slopes
Answer:
D 1. use distance formula to show Pythagorean Theorem holds true
2. use slope formula to show that two sides have opposite reciprocal slopes
Step-by-step explanation:
What is the measure of ZB?
28
36
B
[?] degrees
Enter
Find the Lowest Common Multiple (LCM) of 21, 63 and 105.
A 15
B 63
C 105
D 315
please help me solve this question i need help pls
The endpoints of are A(2, 3) and B(8, 1). The perpendicular bisector of is , and point C lies on . The length of is units. The coordinates of point C are . The slope of is . The possible coordinates of point D are and .
Answer:
The Coordinates of Point C are C(5,2)
The slope of CD is 3
The possible coordinates of point D(a,b) are (6, 5) and (4, -1)
Step-by-step explanation:
According to the Question,
Given, The end points of AB are A(2,3) and B(8,1). The perpendicular Bisector of AB is CD, and point C lies on AB. The length of the CD is √10 units.Now, Let The Coordinates of Point C are C( x , y ) .
Thus, C( x , y ) = ((8 +2) / 2 , ( 1 + 3 )/ 2 ) ⇒ (10/2 , 4/2) ⇒ (5 , 2)The Coordinates of Point C are C( x , y ) ⇒C(5, 2).
And, The slope of AB = (1 - 3)/(8 - 2) ⇒ -2/6 ⇔ -1/3 .
Thus, The slope of CD is -1/(The slope of AB) = -1/(-1/3) ⇔ 3.Let the coordinate of D be (a, b) then
⇒ √{ (b - 2)² +(a - 5)² } = √10
on squaring both sides we get,
⇒ a² - 10a + 25 + b² - 4b + 4 = 10
⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)
We Know, the slope of CD = 3
⇒Thus, (b - 2)/(a - 5) = 3
⇒ b - 2 = 3a - 15
⇒ b = 3a - 13 ⇔⇔ (Equation 2)
Putting value of Equation 2 into Equation 1, We get
⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19
⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19
⇒10a² - 100a + 240 = 0
⇒a² - 10a + 24 = 0
⇒(a - 4)(a - 6) = 0
⇒a = 4 or a = 6
Now,
When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1
When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5
Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).
Answer:
The answer above is 100% correct
Step-by-step explanation:
I got 100 on my quiz.
In a right triangle, the hypotenuse / the opposite side is:
answer choices:
cosine
cotangent
cosecant
secant
Evaluate.
pls I need
The first and last terms of a 10-term arithmetic series are listed in the table. What is
the sum of the series? (2 points)
Term Number Term
1
3
10
75
What is the answer for this?
Answer:
D. Four right angles
Step-by-step explanation:
Answer:
DStep-by-step explanation:
one of the property of all rectangles is that it has four right angles
:-)
PLEASE HELP ME I HAVE TO GET THIS DONE BEFORE IN 10 MINUTES, ILL GIVE BRAINLIEST Determine whether the triangles are similar. If they are, find the scale factor of A ABC to A DEF. B E 12 9 64° D F 12 64° А с 16
Answer:
2nd one
Step-by-step explanation:
They are similar of course. But with the scale factor 3/4. 9/12 is 3/4, so is 12/16. Hope this is correct!
please help!!
7.Patrick wants to buy a new computer. He already has
the computer is currently $1,850, but Patrick expects the price to drop by $100 each month Patrick wants to
determine the number of months he will need to save,
a) If a represents the number of months, then weste an equation to represent A, the taal amount Patevek saves,
b) If u represents the number of months, then weste an equation to represent C, the cost of the computer
C) Use your equations from part"t" and part "id" to determine how many months he will need to save before he can
buy the computer Show your work of explain how you yot your answer
Answer:
yes
Step-by-step explanation:
and no
Answers include A.5/13
B -5/13
C 5
D -5
Answer:
i solve the question and answer is (a)5/13
Use the side -splitter theorem to solve for x in the triangle below
Answer:
x = 30
Step-by-step explanation:
Side splitter theorem,
"If a line intersects two sides of a triangle and is parallel to the third side of the triangle, will divide the sides proportionally."
Therefore, ratio of the parts of two sides intersected will be proportional.
[tex]\frac{3}{15}= \frac{6}{x}[/tex]
[tex]x=\frac{6\times 15}{3}[/tex]
[tex]x=30[/tex]
Therefore, [tex]x=30[/tex] will be the answer.
8. The product of a non - zero whole number and its successor is always
(a) an even number. (b) an odd number. (c) a prime number (d) divisible by 3.
Answer:
( a ) an even number
Step-by-step explanation:
The product of a non - zero whole number and its successor is always an even number.
Answer:
A
Let a non-zero is X, if X is odd number than Successor become even. ( A+1= even number ) X is odd ×(A+1)= Even. If X is even number than Successor become odd
What is the volume of the plastic rocket???
Answer:
A) 151 in³ or 151 cubic inches
Step-by-step explanation:
Volume of rocket = Volume of Cylinder + Volume of Cone
Step 1
Find the volume of the cylinder
Volume of a cylinder = πr²h
r = Diameter/2
= 5/2 = 2.5 inches
h = 6 inches
Hence,
π × 2.5² × 6
= 117.81 cubic inches
Step 2
Find the volume of the cone
Volume of a cone =1/3 πr²h
h = 11 inches - 6 inches
= 5 inches
r = 2.5 inches
Hence,
1/3 × π × 2.5² × 5
= 32.72 cubic inches
Therefore:
Volume of rocket = Volume of Cylinder + Volume of Cone
= 117.81 cubic inches + 32.72 cubic inches
= 150.53 cubic inches
Approximately to the nearest inch = 151 in³ or 151 cubic inches
Option A is correct