Answer:
A?
Step-by-step explanation:
The table below represents an exponential function of the form y = a . b^x
Complete the table and find the equation. Write all your numerical answers in
Fraction form.
What is the value of a?
What is the value of b?
Answer:
Step-by-step explanation:
If one of the data points has the form (0,a)
, then a is the initial value. Using a, substitute the second point into the equatio f(x)=a(b)x, and solve for b.If neither of the data points have the form (0,a)
, substitute both points into two equations with the form f(x)=a(b)x Solve the resulting system of two equations in two unknowns to find a and b.Using the a and b found in the steps above, write the exponential function in the form f(x)=a(b)x.
All of the following are equivalent except:
4%
04
1/25
Use intercepts to graph the linear equation 5x+3y=30
30/5 is equal to 6
this is your x-intercept
30/3 is equal to 10
this is your y-intercept
I think you know what to do now :)
(0,10) and (6,0)
write a Pythagorean triplet with the following numbers as one of the number
a,4 b,8 c,12 d,22 with the formula pls
class 8
Answer:
For any natural number m, we know that
2m, \mathrm{m}^{2}-1, \mathrm{m}^{2}+1m
2
−1,m
2
+1 is a Pythagorean triplet.
i. 2m = 6
\begin{array}{l} \Rightarrow \mathrm{m}=\frac{6}{2}=3 \\ \mathrm{m}^{2}-1=3^{2}-1=9-1=8 \\ \mathrm{m}^{2}+1=3^{2}+1=9+1=10 \end{array}
⇒m=
2
6
=3
m
2
−1=3
2
−1=9−1=8
m
2
+1=3
2
+1=9+1=10
∴ (6, 8, 10) is a Pythagorean triplet.
ii. 2m = 14
\begin{array}{l} \Rightarrow \mathrm{m}=\frac{14}{2}=7 \\ \mathrm{m}^{2}-1=7^{2}-1=49-1=48 \\ \mathrm{m}^{2}+1=7^{2}+1=49+1=50 \end{array}
⇒m=
2
14
=7
m
2
−1=7
2
−1=49−1=48
m
2
+1=7
2
+1=49+1=50
∴ (14, 48, 50) is not a Pythagorean triplet.
iii. 2m = 16
\begin{array}{l} \Rightarrow \mathrm{m}=\frac{16}{2}=8 \\ \mathrm{m}^{2}-1=8^{2}-1=64-1=63 \\ \mathrm{m}^{2}+1=8^{2}+1=64+1=65 \end{array}
⇒m=
2
16
=8
m
2
−1=8
2
−1=64−1=63
m
2
+1=8
2
+1=64+1=65
∴ (16, 63, 65) is a Pythagorean triplet.
iv. 2m = 18
\begin{array}{l} \Rightarrow \mathrm{m}=\frac{18}{2}=9 \\ \mathrm{m}^{2-1}=9^{2}-1=81-1=80 \\ \mathrm{m}^{2}+1=9^{2}+1=81+1=82 \end{array}
⇒m=
2
18
=9
m
2−1
=9
2
−1=81−1=80
m
2
+1=9
2
+1=81+1=82
∴ (18, 80, 82) is a Pythagorean triplet
Step-by-step explanation:
For any natural number greater than 1,(2m,m
2
−1,m
2
+1) is Pythagorean triplets.
So, if one number is 2m, then another two numbers will be m
2
−1 and m
2
+1.
Given, one number = 4
Then Pythagorean triplets:
2m=4 or m = 2
So,
m
2
−1=(2)
2
−1=4−1=3
m
2
+1=(2)
2
+1=4+1=5
Now, (3)
2
+(4)
2
=(5)
2
Or 9 + 16 = 25.
I hope you all like this answer.
Mark as a brainlist.
rate my answer guys ❤️
i asked a question a while ago and nobody has answered it pls help
Answer:
bet but need barinlyist
Step-by-step explanation:
Verify that the function [tex]g(x)=2x^3-3x+1[/tex] satisfies the three hypotheses of Rolle’s Theorem on the interval [tex][0,2][/tex].
Lets check if the three conditions hold.
1 : Continuity of g on the interval [0,2]
First, g(x) is a continuous function on R, as the sum of a cubic function wich is continuous on R, and a linear polynomial of the form ax + b which is also continuous on R. Finally g is also continuous on the interval [0,2]
2 : Differentiable on the same interval
Since the cubic function and the linear polynomial one are differentiable on R, g also is differentiable and particularly on the interval [0,2]
Also we have g'(x) = 2*3*x² - 3 = 6x² - 3
3 : Do we have g(0) = g(2) ?
Lets compute g(0) = 2*0^3 - 3*0 + 1 = 1
And g(2) = 2*2^3 - 3*2 + 1 = 2 * 8 - 6 + 1 = 16 - 6 + 1 = 11
Since g(0) ≠ g(2), Rolle's theorem is not applicable. Thus unfortunately, we can not conclude that there exist c ∈ (0,2) such that f'(c) = 0
What is the time in minutes, taken to cover 8.1
km at an average speed of 5 m/s?
Answer:
27 minutes
Step-by-step explanation:
(8.1 km)×(1000 m)/(1 km)/(5 m/s)×(1 min/(60 s) = (8.1×1000)/(5×60) min8100/300=27 minWhich number line model represents the expression-1/2+5/4
Answer:
B
Step-by-step explanation:
187²–87² without using mathematical table or calculator
27.400
Step-by-step explanation:
187X187 = 34.969
87X87=7.569
34.969 - 7569 = 27.400
Use the identity
(a + b)² = a ² + 2ab + b ²
Then rewrite 187² as
187² = (100 + 87)² = 100² + 2•100•87 + 87²
Subtract 87² eliminates the last term from above, so we're left with
(100² + 2•100•87 + 87²) - 87²
= 100² + 2•100•87
= 10000 + 2•8700
= 10000 + 17400
= 27400
Find the length of x of the side of the larger triangle. (Assume that the two triangles are similar, and use the fact that corresponding sides of similar triangles are proportional)
X=
Similar triangles may or may not be congruent
The value of x that makes both triangles similar is 4.5
The equivalent ratio of both triangles is:
[tex]\mathbf{2 : 1 = 9 : x}[/tex]
Express the above equivalent ratio as a fraction
[tex]\mathbf{\frac 12= \frac x9 }[/tex]
Multiply both sides of the fraction by 9
[tex]\mathbf{\frac 12\times 9 = \frac x9 \times 9 }[/tex]
Cancel out common factors
[tex]\mathbf{\frac 12\times 9 = x}[/tex]
Divide 12 by 9
[tex]\mathbf{4.5 = x}[/tex]
Rewrite the above expression as:
[tex]\mathbf{x = 4.5 }[/tex]
Hence, the value of x is 4.5
Read more about similar triangles at:
https://brainly.com/question/14926756
Classify each term in the expression 3+6ab+c as a constant term or a variable term.
Answer: 3 is constant term, 6ab is variable term, and C is variable term
Answer:
3: Constant term, 6ab: Variable term, C: Variable term
Step-by-step explanation:
Hunter has a quarters and y dimes, having at least 18 coins worth at most
combined. A minimum of 4 of the coins are quarters and a minimum of 12
coins are dimes. Solve this system of inequalities graphically and determint
possible solution.
Answer:The number of nickles is 6
The number of dims is 12 .
Step-by-step explanation:
Given as :
Sum of total number of dims and nickels coins = 18
The value of total combination = $1.50
Let The total number of dims = d
Let The total number of nickels = n
1 nickles = $0.05
1 dims = $0.1
According to question
Total number of dims and nickels coins = number of dims + number of nickels
Or, d + n = 18 .........1
And
$0.1 ×d + $0.05 ×n = $1.50
Or, 0.1 d + 0.05 n = 1.50 .........2
Now, Solving eq 1 an eq 2
0.1 × (d + n) - (0.1 d + 0.05 n) = 0.1 × 18 - 1.50
Or, (0.1 d - 0.1 d) + (0.1 n - 0.05 n) = 1.8 - 1.50
Or, 0 + 0.05 n = 0.3
Or, 0.05 n = 0.3
∴ n =
i.e n = 6
So, The number of nickles = n = 6
Put the value of n int eq 1
∵ d + n = 18
Or, d = 18 - n
Or, d = 18 - 6
i.e d = 12
So, The number of dims = d = 12
Hence, The number of nickles is 6 and the number of dims is 12 .
Step-by-step explanation:
IF Tyler s currently 5 inches
tal, how many inches more
does he need to grow to be
feet tal?
Hey there! Your answer is:
7 inches
Explanation:
If Tyler is 5 inches tall, he needs to grow 7 inches to be a foot tall. This is because 12 inches are in 1 foot. We can do a simple subtraction problem to figure this out.
12 inches - 5 inches = 7 inches
Since Tyler is 5 inches tall, we know that if we subtract 12 inches from 5 inches we will get the number of inches he needs to grow.
I hope this answer helps you out! Let me know if you have any questions and have a wonderful day/night!
La puntuación media de un examen final fue de 72 y la desviación típica de 9. El 10%
de los mejores alumnos recibió la calificación A. ¿Cuál es la puntuación mínima que
un estudiante debió tener para recibir un A?
Answer:
I don't know what to do sorry
equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)
[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]
Step-by-step explanation:
The vertex form of the equation for a parabola is given by
[tex]y = a(x - h)^2 + k[/tex]
where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as
[tex]y = a(x - 1)^2 - 6[/tex]
Also, since the parabola passes through (4, -7), we can use this to find the value for a:
[tex]-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6[/tex]
or
[tex]a = -\frac{1}{9}[/tex]
Therefore, the equation of the parabola is
[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]
which of the following statements are true for sin (-430°)
i. the basic angle, a lies in the second quadrant
Ii. sin (-430°) = +sin (430°)
III. sin (-430°) = sin (70°)
iv. a = 30°
Answer:
Step-by-step explanation:
sin(-430)=-sin(430)=-sin(360+70)=-sin 70
What is the value of this expression?
(−8)3
Evaluate the expression
6a - 2b when a = 5, b=7
[tex] = > 6a - 2b[/tex]
[tex] = > 6(5) - 2(7)[/tex]
[tex] = > 30 - 14[/tex]
[tex] = > 16[/tex]
Click on photo for question!
write an equivalent expression for x^4 over 4
help
please
Answer:
1/4 · x⁴
Step-by-step explanation:
-79=7w+3(4w-1) all steps please and quick
Plz help I need help
Answer:
proportional
Step-by-step explanation:
hope this helps
Let's try it! If we set these two ratios equal to each other and cross-multiply, the results should be the same if they are, in fact, proportional.
8/20 = 20/80
400 ? 640
400 and 640 are not the same number, so these ratios are not proportional.
Hope this helps!! :)
Write an equation in point slope form that goes through the point (3,5) and is perpendicular to the line y=1/3x-7
Answer:
[tex]y - 5 = - 3(x - 3)[/tex]
Step-by-step explanation:
our original equation
[tex]y = \frac{1}{3} x - 7[/tex]
A perpendicular slope of a line is the negative reciprocal
So our slope would be -3
point slope form is
[tex]y - y1 = m(x - x1)[/tex]
let's substitute our given point (3, 5) and our perpendicular slope, -3
[tex]y - 5 = - 3(x - 3)[/tex]
15. In his piggy bank, Neil has three times as many dimes as nickels and he has four more quarters than nickels. The coins total $4.60. How
many of each coin does he have?
10 quarters 6 nickels 18 dimes
what are two decimals equivalent to 0.02
Answer:
0.020
0.0200
Step-by-step explanation:
Because there's always an imaginary 0 at the end, so there are infiite equivalant answers to this.
Hope this helps, and stay safe!! :))))
Which represents the solution to the inequality 4x + 7(3x - 3) ≤ 9 - 5x in interval notation
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x < 1
Interval Notation:
( − ∞, 1)
2) A pizza and bottle of soda together cost $14. If the pizza costs 6 times the price of the bottle
of soda, what is the price of each item?
HELP!!
Answer:
$14.6
Step-by-step explanation: because adding how all they are in total.
- The weight of 72 identical marbles is 183.6 grams. What is the weight of each marble? Explain how you
know the decimal point of your quotient is placed reasonably.
Answer:
the weight of each marble is 2.55 grams
758 rounded of to the nearest hundred
Answer:
800
Step-by-step explanation:
Hope this helps
Answer:
800, if it's higher than 50 you can round it to the next hundred
describe the transformation of g(x)=(-1/2x) as it relates to the graph of f(x)=x
Answer:
c
Step-by-step explanation: