Answer:
Equation for the function is:
f(x) = (3/2) · 2ˣ
Step-by-step explanation:
We have been provided with 2 points
Point 1 : (3, 12)
Point 2 : (4, 24)
Testing all three equations:
1) f(x) = 6/3 · 2ˣ
Substitute x of Point 1 in the equation
f(x) = (6/3) · 2³
f(x) = 16
y = 16 ≠ 12
NOT TRUE
Substitute x of Point 2 in the equation:
f(x) = (6/3) · 2⁴
f(x) = 32 ≠ 24
NOT TRUE
2) f(x) = 3/2· 2ˣ
Substitute x of Point 1 in the equation
f(x) = (3/2) · 2³
f(x) = 12
y = 12
TRUE
Substitute x of Point 2 in the equation:
f(x) = (3/2)· 2⁴
f(x) = 24
TRUE
3) f(x) = 2x
Substitute x of Point 1 in the equation
f(x) = 2(3)
f(x) = 6
y = 6 ≠ 12
NOT TRUE
Substitute x of Point 2 in the equation:
f(x) = 2(4)
f(x) = 8 ≠ 24
NOT TRUE
Check
Sort the polynomials according to whether they are prime or non-prime.
6x3 - 5x2 + 2x-14
124 - 18x2 + 8x2 - 12
6x2 + 9x + 10x + 15
1272 - 3x + 4x +7
Answer: first, second and fourth are primes, the third is not-prime.
Step-by-step explanation:
A prime polynomial can not be reduced.
Let's see the options:
A) 6x^3 - 5x^2 + 2^x-14
You can see that we have a coefficient equal to 5 and other equal to 2.
As both are prime numbers, we can not reduce this, so this is a prime polynomial.
B) 12x^4 - 18x^2 + 8x^2 - 12 = 12x^4 -10*x^2 + 124
Both coefficients are even, so we can reduce it to:
12x4 -10*x^2 + 124 = 2*(6x^4 -5*x^2 + 72)
So this is not prime.
C) 6x^3 + 9x^2 + 10x + 15
we have that:
6 = 3*2
9 = 3*3
10 = 2*5
15 = 3*5
a polinomial is only reducible if all the coefficients share at least one prime factor, here we can see that this is not the case, so this is a prime polinomial.
D) 12x^2 -3x + 4x + 7 = 12x^2 + x + 7
Again, here we have that one coefficient is 1, the only factor of 1 is itself, so we can not reduce this polinomial, this is prime.
Answer:
answer shown in picture
Step-by-step explanation:
Which systems of equations have infinite solutions?
Answer:
addition
Step-by-step explanation:
Decimal expansion of 5/8
Answer:
0.625
Step-by-step explanation:
5/8 is the same as dividing so divide them both and it will equal 0.625
Answer:
0.625
Step-by-step explanation:
1/8 = 0.125
0.125 times 55 = 0.625
if the blue radius below is 4.5 unit lrpendicto the green chord and the segment ab is 4.5 units long, what is the length of the length of the chord?
Answer:
b) 9 units
Step-by-step explanation:
segment ab is the same length as segment bc
Need Answer Fast). The solution to a problem is an irrational number. which statement is true about the solution? Will Mark Brainliest.
Step-by-step explanation:
There is no option to choose from, but the knowledge of what irrational numbers are, would help cover this cost.
A rational number is a number that can be written as a simple fraction, a/b. Examples are 1/2, 5/6,...
If a number cannot be written as a simple fraction, then it is called irrational.
Example of irrational numbers: √2, π
Answer:
Here are the statements!!!
Consider function fbelow.
f(t) = 4* - 6
Determine function g which is created by shifting the graph of function fup 5 units.
O A.g(x) = 98 - 6
OB.g(x) = 4(x+5)-6
O C.g(x) = 44.1
OD.g(x) = 4x + 5
Answer:
Step-by-step explanation:
For this case we have a function of the form:
f (x) = 4 ^ x-6
We want to move the graph five units up.
Therefore, the new function is given by:
g (x) = f (x) +5
Substituting we have:
g (x) = 4 ^ x-6 + 5
Rewriting the function:
g (x) = 4 ^ x-1
Answer:
The new function is given by:
g (x) = 4 ^ x-1
option C
Click to let other
The function g which is created by shifting the graph of function f up 5 units is given by [tex]g(x) = 4^x - 1.[/tex]
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To shift the graph of function f up 5 units, we need to add 5 to the output (y-value) of the function.
Therefore, the function g(x) will be:
g(x) = f(x) + 5
Substituting the expression for f(x), we get:
[tex]g(x) = 4^x - 6 + 5\\g(x) = 4^x - 1[/tex]
Therefore,
The function g which is created by shifting the graph of function f up 5 units is given by [tex]g(x) = 4^x - 1.[/tex]
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
Find the value of x for which AE¯¯¯¯¯¯¯∥CD¯¯¯¯¯¯¯. answers: 43 31 47 121
Answer:
the answer is 31
Step-by-step explanation:
The measure of angle x is 31 degrees
Sum of angles of a quadrilateralFrom the given quadrilateral, the sum of the adjacent angles are equal. Hence;
59 + 31 = 47 + x + 12
90 = 59 + x
Make x the subject of formula
x = 90 - 59
x = 31 degrees
HEnce the measure of angle x is 31 degrees
Learn more angles here: https://brainly.com/question/26098895
High school football team had the best game of the season they scored eight touchdowns (seven points each) and three field goals (3 points each). How many points did they score in all
Answer:
65 points in all
Step-by-step explanation:
3 x 3 = 9
7 x 8 = 56
56 + 9 = 65
:))
Last Option Is 4/5. Please Help ASAP
Answer:
C: 3/5
Step-by-step explanation:
sin = opposite/hypotenuse
It's a 3-4-5 triangle... so then sin = 3/5
Rate and tell me if I'm right!! :)
I need help answering these. What does the arrows going both ways mean?
Answer:
I'm pretty sure it means it is any number
Answer:
It means there is no beginng point or end point.
Round 189.939360828 to 4 decimal places.
Answer:
189.9394
Step-by-Step Explanation:
Round to the nearest 0.0001 or
the Ten Thousandths Place.
Find the volume of the rectangular prism.
length = 5 1/4 inches
width = 4 1/2 inches
height = 3 inches
Answer:
70.825 square inches
Step-by-step explanation:
Answer:
[tex]= 70 \frac{7}{8} {in}^{3} \\ [/tex]
Step-by-step explanation:
[tex]v = whl \\ = 4\frac{1}{2} \times 3 \times 5 \frac{1}{4} \\ = \frac{9}{2} \times 3 \times \frac{21}{4} \\ = \frac{567}{8} \\ = 70 \frac{7}{8} {in}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which situations can be represented by the equation 3+15=288? Select all that apply.
Nate buys a phone that costs $288. He is able to put $15 down and then pay the remaining balance in 3 equal payments. What is x, the amount of one payment?
Nate upgrades his phone. He makes 3 equal payments of $288 each and pays an additional $15 in taxes. What is x, the total cost of the phone?
Nate bought his 3 children identical phones and chargers. He spent a total of $288. If each charger was $15, what is x, the cost of one phone?
Nate bought his 3 children identical phones and chargers. He spent a total of $288. If each charger was $5, what is x, the cost of one phone?
Nate bought his 3 children identical phones totaling $288. Nate used a coupon for “$15 off total purchase.” What is x, the discounted price of one phone?
Answer:
the first and last option.
Step-by-step explanation:
the equation will be equal to 288.
x is the amount of one payment that he makes 3 times, hence the 3x.
15 is his initial payment so that is added to the 3x to equal 288.
the second equation still equals to 288.
the 15 is still there because added to the phone price it is equal to 288.
the x represents the price of the phones and 3 is how many he's getting, hence the 3x.
Answer:
the equation will be equal to 288.
x is the amount of one payment that he makes 3 times, hence the 3x.
15 is his initial payment so that is added to the 3x to equal 288.
the second equation still equals to 288.
the 15 is still there because added to the phone price it is equal to 288.
the x represents the price of the phones and 3 is how many he's getting, hence the 3x.
Step-by-step explanation:
Mark me brainiest please
What is the value for x?
Enter your answer in the box.
Answer:
8
Step-by-step explanation:
because we know its an isosceles triangle angle A and C will both be the same and since we know A = 69 C will also be 69. we also know that angles in a triangle add to 180 so take away the two 69s from the 180 to get 42
then we work backwards if its 5x + 2 then we need to do 5x - 2 to get 40 then divide it by 5 to get your answer 8!
(sorry if the explanation doesnt make sense )
Please Help ASAP, ehehdhhdheh
Answer:
I believe x is the angle shown. I hope this helps
11. Rocco and Biff are two koalas sitting at the
top of two eucalyptus trees, which are
located 10 m apart, as shown. Rocco's tree
is exactly half as tall as Biff's tree. From
Rocco's point of view, the angle separating
Biff and the base of his tree is 70°. How high off the ground is each koala?
Answer:
Biff's tree is 14 m off the ground and Rocco's tree is 7 m off the ground.
Step-by-step explanation:
Let the height of Biff's tree be represented by x, so that the height of Rocco's tree is [tex]\frac{x}{2}[/tex].
Draw a straight line from Rocco's point of view to a point t to the middle of Biff's tree. This line divides x into two equal parts, and the angle is divided into [tex]35^{0}[/tex] each.
By alternate angle property,
Tan [tex]35^{0}[/tex] = [tex]\frac{\frac{x}{2} }{10}[/tex]
[tex]\frac{x}{2}[/tex] = Tan [tex]35^{0}[/tex] × 10
= 7.00021
⇒ x = 2 × 7.0021
= 14. 0042
x = 14
Therefore, Biff's tree is 14 m off the ground and Rocco's tree is 7 m off the ground.
Answer:
Biff height = 9.48m
Rocco's height= 4.74m
Step-by-step explanation:
As Rocco's tree is half as tall as Biff's tree, draw a horizontal line from Rocco on Rocco's tree which intersects the Biff's tree at he middle.
The angle 70 degrees is divided by 2 because of the horizontal line.
An upper right angle triangle is form by Rocco (point A), Midpoint of Biff's tree(point B), and Biff (point C).
As
[tex]tan\theta = \frac{perpendicular}{base\\}[/tex]
where θ=35 and base= 10m
[tex]tan35=\frac{perpendical}{10}[/tex]
[tex](tan35)(10)=perpendicular\\perpendicular=4.74[/tex]
As the perpendicular found is that of a triangle formed from midpoint of Biff's, to find the total height, multiply the found perpendicular with 2.
Biff height = 4.74*2 = 9.48m
Rocco's height is half of biff height
Rocco's height= 9.48/2 = 4.74m
Select the correct answer. What is the simplified form of this expression? (-x2 + x) + (4x2 − x − 1)
Answer:
[tex]3x^2-1[/tex]
Step-by-step explanation:
[tex](-x^2+x)+(4x^2-x-1)= \\\\-x^2+4x^2+x-x-1= \\\\3x^2-1[/tex]
Hope this helps!
Travis is temporarily not working while his office is being remodeled. He
expects to be back at work in 2 months, but won't be able to afford his
mortgage payment until then. Which of the following is the best option for
him?
A. Forbearance agreement
B. Foreclosure
C. Moving to another state
D. Bankruptcy
Answer:
Correct answer is Forbearence agreement
Step-by-step explanation:
he was incorrect
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
26
Step-by-step explanation:
lol
Answer:
AC = 26
Step-by-step explanation:
AB + BC = AC
18+ 8 = AC
26
Find the value of x.
with work plz
Answer: x = 117 degrees.
Step-by-step explanation: The sum of the interior angles of a pentagon should equal 540 degrees. The value of x has to make the total of the angles equal to 540. 140 + 138 + 59 +86 is 423. Now we need to subtract 423 from 540 to know the value of x since it has to all add up to 540. 540-423 is 117.
Answer:
117°
Step-by-step explanation:
sum of angles of a polygon=(n-2)*180
where n is the number of sides.
it has 5 sides.
x+86+140+138+59=(5-2)*180
x+423=3*180
x=540-423
x=117°
The person is 64 in. tall and casts a 48 in. Shadow. The tree casts 81 in. Shadow. How tall is the tree?
Answer:
65 in. shadow.
Step-by-step explanation:
if someone is 64 in. and they cast a 48 in. shadow than their shadow is 16 in. smaller than they are. 81 in. - 16 in. = 65 in.
97 in. is the height of the tree
5^7/5^3 in factored form
Answer:
5^4
Step-by-step explanation:
5^7/5^3
When we divided exponents with the same base
a^b / a^c = a^(b-c)
5^7/5^3 = 5^(7-3) = 5^4
Answer:
5⁴
Step-by-step explanation:
When dividing exponents with the same base, you subtract the exponents without changing the base.
[tex]\frac{5^7}{5^3} \\\\5^4[/tex]
Desiree wants to place a wire fence around the base of an apple tree... The tree has and mulch area around it, is shaped like a circle that has a radius of 14 inches... What length of fencing does Desiree need? ROUND TO THE NEAREST TENTH AND INCLUDE UNITS IN YOUR ANSWER
Answer:
( About ) 88 inches
Step-by-step explanation:
Considering this wire fence to be the circumference of the base of this apple tree, provided it is circular, let us solve for the amount of fencing given the radius of this circle is 14 inches;
[tex]Radius Of Circle - 14 inches,\\Diameter - 14 inches * 2 = 28 inches,\\Circumference - 2\pi r, r = radius,\\\\2\pi r - \pi d, d = diameter,\\\\Circumference Of Circle - \pi * ( 28 inches ) = ( About ) 88 inches\\Length Of Fencing = ( About ) 88 inches[/tex]
Length of Fencing rounded to 10th place, ( About ) 88 inches
Circle Y has a radius of 22 meters and Circle Z has a radius of 27 meters. Which of the following statements are true? Select all that apply.
o The circumference of Circle Y=44π m
o The circumference of Circle Z=27π m
o The circumference of Circle Y is approximately 32 m less than the circumference of Circle Z.
o The circumference of Circle Z is approximately 170 m.
o The circumference of Circle Z is approximately 32 m less than the circumference of Circle Y
Answer:
A
C
D
Step-by-step explanation:
Find the area of the largest circle that can be inscribed inside a square whose diagonal is 5" ( with explanation )
Answer:
19.625
Step-by-step explanation:
If the square's diagonal is 5 and the circle is inscribed in it, that means that the radius is 2.5
2.5^2*3.14
=19.625
If y = 3x+b intersects y= mx +3 at (2, 3), find the value of b and m.
Answer:
The value of b is -3 and m is 0.
Step-by-step explanation:
You have to substitute the coordinates into both equation in order to find m and b value :
Find m,
[tex]y = mx + 3[/tex]
At (2,3),
[tex]3 = m(2) + 3[/tex]
[tex]3 - 3 = 2m[/tex]
[tex]2m = 0[/tex]
[tex]m = 0[/tex]
Find b,
[tex]y = 3x + b[/tex]
At (2,3),
[tex]3 = 3(2) + b[/tex]
[tex]b + 6 = 3[/tex]
[tex]b = 3 - 6[/tex]
[tex]b = - 3[/tex]
Answer:
b = -3
m = 0
Step-by-step explanation:
y=mx+b
3 is the constant
Find the distance between the pair of points given on the graph.
Answer:
ITS 4 CM
Step-by-step explanation:
Answer:
5 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (1, 0) ← 2 points on the line
d = [tex]\sqrt{(1+2)^2+(0+4)^2}[/tex]
= [tex]\sqrt{3^2+4^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
Which describes the transformation? Select three options.
Triangle ABC was translated to form A'B'C'.
A'
It is rigid.
:::
It is nonrigid.
А
x
It is isometric.
B
The size is preserved.
C
The angles are not preserved.
В
Save and Exit
Next
Submit
Mark this and retum
Answer:
It is rigid
It is isometric
The size is preserved
Step-by-step explanation:
Given that Triangle ABC was translated to form A'B'C', then both triangles are congruent triangles.
A translation only moves the figure, preserving the size.
Because the size is preserved, it is a rigid transformation or isometric transformation.
Answer:
acd
Step-by-step explanation:
Sarah graphed the solution to the inequality StartAbsoluteValue f + 3 EndAbsoluteValue less-than 9 on the number line.
A number line going from negative 14 to positive 10. Open circles are at negative 12 and positive 6. Everything between the points is shaded.
Which inequality statement can be used to help determine if the graph is correct?
When f = 0, StartAbsoluteValue 0 + 3 EndAbsoluteValue less-than 9, which is true because 3 is less than 9.
When f = negative 12, StartAbsoluteValue negative 12 + 3 EndAbsoluteValue less-than 9, which is true because 9 is equal to 9.
When f = 10, StartAbsoluteValue 10 + 3 EndAbsoluteValue less-than 9, which is true because 9 is greater than 13.
When f = negative 14, StartAbsoluteValue negative 14 + 3 EndAbsoluteValue less-than 9, which is true because 9 is greater than –11.
Answer:
Correct option: first one.
Step-by-step explanation:
Let's analyse each option:
1)
When f = 0, |0 + 3| < 9, which is true because 3 is less than 9.
This statement is true, and the value f = 0 in inside the solution graphed by Sarah.
2)
When f = -12, |-12 + 3| < 9, which is true because 9 is equal to 9.
This statement is false, because the inequality uses a "less-than" symbol and not a "equal" symbol, so 9 < 9 is false
3)
When f = 10, |10 + 3| < 9, which is true because 9 is greater than 13.
This statement is false, because 9 is not greater than 13.
4)
When f = -14, |-14 + 3| < 9, which is true because 9 is greater than –11.
This statement is false, because the value of |-14 + 3| is 11 and not -11.
So the correct option is the first one.
Answer:
Answer is A,
Step-by-step explanation:
edge2020
Calculate the circumference of the circle in terms of π. the diameter is 6 C=πd
Answer:
18.85
Step-by-step explanation:
Answer:
18.84
Step-by-step explanation:
C = [tex]\pi d[/tex]
C = [tex]\pi 6[/tex]
C = 3.14 * 6
C = 18.84