How do I solve this?
Answer:
f(-1)=2(-1)+5 = 3
f(2)=2(2)+5 = 9
f(0)=2(0)+5 = 5
2z+5
If f ( 1 ) = 2 f(1)=2 and f ( n ) = f ( n − 1 ) 2 − 5 f(n)=f(n−1) 2 −5 then find the value of f ( 4 ) f(4).
[tex]f(1) = 2\\f(2)=f(2-1)^2-5=(f(1))^2-5 = 2^2-5 = -1\\f(3) = f(3-1)^2 - 5=f(2)^2-5=(-1)^2-5=-4\\f(4) = f(4-1)^2-5 = f(3)^2-5 = (-4)^2-5 = 11[/tex]
so f(4) = 11
Hope that helps!
Answer:
f(4) = 11
Step-by-step explanation:
Given :
base function ⇒ f(n) = f(n - 1)² - 5f(1) = 2Solving :
f(2) = f(1)² - 5f(2) = 2² - 5 = 4 - 5 = -1f(3) = f(2)² - 5f(3) = (-1)² - 5 = 1 - 5 = -4
f(4) = f(3)² - 5f(4) = (-4)² - 5f(4) = 16 - 5 = 11
Consider the linear equation y = 5x – 4.
1. Provide 3 ordered pairs that are solutions to this linear
equation.
2. Test the point (-5, -29) to see if it is a solution to the
linear equation.
Be sure to show all work.
Answer:
(0,-4), (2,6), and (4, 16) are solutions to this equation.
Yes the point (-5,-29) is a solutions
Step-by-step explanation:
(-5,-29) is a solution because if you plug in -5 for x, y will equal to the y in the ordered pair.
a) Three ordered pairs (0, -4), (2, 6), and (-3, -19) that are solutions to the linear equation y = 5x - 4.
b) We verified that the point (-5, -29) is a solution to the equation by substituting its x and y values and getting a true statement.
a. To find ordered pairs that are solutions to the linear equation y = 5x - 4, we can simply substitute different values of x into the equation and calculate the corresponding y-values.
Let's choose three different values for x and calculate the corresponding y-values:
When x = 0: y = 5(0) - 4 = -4
So, the ordered pair is (0, -4).
When x = 2: y = 5(2) - 4 = 6
So, the ordered pair is (2, 6).
When x = -3: y = 5(-3) - 4 = -19
So, the ordered pair is (-3, -19).
b. To test whether the point (-5, -29) is a solution to the linear equation y = 5x - 4, we need to check if substituting x = -5 into the equation gives us y = -29.
Let's do the calculation:
y = 5(-5) - 4
y = -25 - 4
y = -29
Since y = -29 when x = -5, the point (-5, -29) is indeed a solution to the linear equation.
To learn more about linear equation click on,
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Jack hit a baseball on 13 out of 30 tries during practice. what is the experimental probability that he will hit the ball on his next trial write your answer as a fraction as a decimal and as a percent
Answer:
Fraction: 13/30
Decimal: 0.43
Percentage: 43%
Solve for x in the image below.
Find the sum of these polynomials. (2x^2+x+3)+(3x^2+2x+1)
Answer:
5x²+3x+4
Step-by-step explanation:
(2x²+x+3)+(3x²+2x+1)
add 2x² and 3x² since they're like terms
5x²+x+3+2x+1
add 2x and x = 3x
5x²+3x+3+1
add 3 and 1 = 4
5x²+3x+4
I really need help! Pls! I'd appreciate it! :) Here's the question...
A block of metal has a mass of 1000g and dimensions of 7.5 cm by 6 cm by 10 cm. Use this information to find the density of the metal block.
PLEASE HELP ASAP WILL MARK AS BRAINLIST
93. In 1939 a hamburger sold for 5¢, but a worker would only earn 30¢/h.
If in a later year, a hamburger sells for 85¢, how much would the
worker earn if earnings went up at the same rate?
Answer:
$5.10/h
Step-by-step explanation:
85/5 = 17
it increased 17 times, so did the worker
.30x17= $5.10
In a game, the suit and number of a card must be guessed while it is facedown. If the odds of guessing the suit correctly are 13/52 and the odds of guessing the number are 4/52, then what are the odds of guessing both the number and suit correctly?
Answer:
1/52.
Step-by-step explanation:
The suit AND the number must be correct.
When you see AND in a probability question think 'multiply'.
That would be 13/52 * 4/52
= 52/(52)^2
= 1/52.
HELP PLEASE!!!! Posting a lot of these for a lot of points!
Answer:
Step-by-step explanation:
Area of figure I = length *width
= 4 * 5
= 20 m²
Figure II is a trapzium.
a and b are the parallel sides. a = 21 m
b = 20 - 5 = 15 m
h = 3 + 4 = 7 m
[tex]\text{area of figure 2 = $\dfrac{(a + b)*h}{2}$}[/tex]
[tex]=\dfrac{(21+15)*7}{2}\\\\\\=\dfrac{36*7}{2}\\\\\\= 18*7\\\\= 126 \ m^{2}[/tex]
Area of the figure = 20 + 126
= 146 m²
Answer:
146 m²
Step-by-step explanation:
Formulae
Area of a rectangle = width x length
Area of a triangle = 1/2 x base x height
Divide the figure into 2 rectangles and a triangle (see attachment).
Area of Rectangle 1 = 4 x 5 = 20 m²
Area of Rectangle 2 = (3 + 4) x (20 - 5) = 105 m²
Area of triangle 3 = 1/2 x (21 + 5 - 20) x (3 + 4) = 21 m²
Total area = 20 + 105 + 21 = 146 m²
please help. 50 points on the line
Answer:some where from 65-75 feet
Step-by-step explanation:
can a parking lot be built at angle K. why or why not
How do you recognize a geometric sequence? Can you find terms within a geometric sequence using a formula?
Answer:
See step by step explanation
Step-by-step explanation:
To reconize a geometric sequence, the factor at which one number is greater than the previous number should always be the same
For example,
2,4,8,16,32,64,128,256,512,1024 is a geometric sequence since the next number is always greater than the previous number by a factor of 2
to find the n-th term in a sequence, we can use a formula.
Going back to the example, let's label each number with a term
to find the nth term of this specific sequence, we need to find two things
the first number of the sequence, and the factor at which this sequence increases at
the first number is 2, so n1 = 2
each term increases by a factor of 2 (2*2=4, 4*2=8, 8*2=16, 16*2=32, 32*2=64), so the factor is 2
the equation is:
(the initial term)*(the factor)^(the term number - 1)
so,
[tex]2*2^{n-1}[/tex] is our equation
We can check our equation by plugging in a number
looking back at our list, we see that the 7th term is 128
plug in 7 into out equation
[tex]2*2^{7-1}=2*2^6=2^1*2^6=2^7=128[/tex], so our equation works
Here's a practice problem
for the sequence 3,9,27,81,243,729, what is the factor which the sequence increases at? what's the initial number? what's the equation for this sequence?
a harder practice problem:
for the sequence 2,6,18,54,162,486, what is the factor at which the sequence increases at? what's the intitial number? what's the equation for this sequence? what's the 8th term of this sequence if it were to be continued?
Yes we can
the formula given to find the terms is
a_n=ar^n-1Where
a_n is n the terma is first termr is common ration is an positive integerSuppose that a classmate asked you why (2x + 112 is not (4x² + 1). What is your response to this classmate?
O A. An expression such as (2x + 1)2 is called the square of a monornial. The expression (2x + 1)2 is equal to (22• 2xX1. 1), thus it is not equivalent to
(4x2 +1)
B. The classmate is correct. An expression such as (2x + 1)2 is called the square of a binomial. The expression (2x + 1)2 is equal to (2)?(x} = (132, thus it is
equivalent to (4x + 1)
OC. An expression such as (2x + 1)2 is called the square of a binomial. The expression (2x + 1)2 is equal to (2x+ 1x2x + 1), thus it is not equivalent to
(4x + 1)
OD. An expression such as (2x + 1)2 is called the product of the sum and difference of two terms. The expression (2x + 1)2 is equal to (2x+ 1(2x - 1), thus it is
not equivalent to (4x2 + 1)
+
The given expression is the square of a binomial, such that:
(2x + 1)^2 = 4x^2 + 4x + 1
Then the correct option is C.
Are the expressions equivalent?We want to see if:
(2x + 1)^2
Is equivalent to (4x^2 + 1).
First, this is false, let's prove that.
We have the square of a binomial (2x + 1)^2. Remember the general formula:
(a + b)^2 = a^2 + 2ab + b^2
So if we apply this to our expression we get:
(2x + 1)^2 = (2x)^2 + 2*2x*1 + 1^2 = 4x^2 + 4x + 1
Then, the correct option is C.
If you want to learn more about binomials, you can read:
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The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC
Step-by-step explanation:
The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC
Write down the reciprocal of:5by8
to find the reciprocal just switch the numerator and the denominator.
= 8/5 ( 8 by 5 )
At how many hours will blake earn the same amount in both jobs?
Answer: 6.15 you already solved it congrats
Step-by-step explanation:
you already equal both amount equations to each other therefore you are solving for the hours he gets equal pay
When given the set of variables, solve for X
Answer: B
Step-by-step explanation:
IMAGE IS DOWN BELOW!!
SOMEONE PLEASE HELP ME!!
ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!
Answer:
14.3 Cm
Step-by-step explanation:
Step 1: A^2+B^2=C^2
Step 2: 3^2+14^2=C^2
Step 3: 9+196=C^2
Step 4: 205=C^2
Step 5: 14.3=C
find the LCM of denominator 3/8 and 3/4
Answer:
Step-by-step explanation:
Actually, it is 8.
3/8: nothing need be done.
3/4: Multiply top and bottom of the fraction by 2.
3*2 / 4*2 = 6/8
So the lowest common multiple is 8.
The factions become 3/8 and 6/8
hi, i am struggling to find this algebra 2 answer can anyone help? i am desperate and ill give you whatever u want
HELP RN IM FAILING PLEASE
Answer:
Top left.
Step-by-step explanation:
Answer: 3x + y = 3
Step-by-step explanation: For a line to be parallel it must have the same slope but a different y intercept. y = mx + b, where M is the slope, and B is the y intercept.
We can solve for y, using 3x + y = 3. Subtracting both sides from 3x, we get y = -3x + 3, which is a different y intercept but the same slope.
Solve for x. Leave your answer in the simplest form.
Image down below!
Please help! Brainlist and points
(I named the empty line y)
y²= 9²+5²
= 81+25
=106
y= V106
y≈10.30
x²= 4²+y²
= 4²+ (V106)²
= 16+106
=122
x≈11.05
_ __
0.47 and 0.47 as simplified fractions
Answer:
Here is your answer
Step-by-step explanation:
What is 0.47 as a fraction? 0.47 as a fraction in simplest form is written as 47/100.
A fraction represents a part of a whole, written in the form of p/q where p and q are integers.
Here we will show you how to convert 0.47 decimal number to fraction form and as a mixed number with steps.
0.47 as a simplified fraction
47/100
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Answer:
47/100
Step-by-step explanation:
0.47 as a fraction in simplest form is written as 47/100.
Please mark me Brainliest
pls help me to answer this
Answer:
hi! this is (insert your name) what does this sybol/mathematical term mean?
√
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
Greetings Mrs.(name here)!
I got my recent test back and I was wondering why this question was incorrect.
For #4, I was sure that you had to find the square root and then multiply by pi, but apparently that's not what some people did and they got it correct.
How do I properly do this question?
-*name here*
Find the m < VXW down below
Answer:
Step-by-step explanation:
Select all that apply.
Which pairs of angles are supplementary?
1 and 6
5 and 7
5 and 8
2 and 3
Answer:
1 and 6
5 and 7
Step-by-step explanation:
Supplementary angles are 180 degrees and so is a linear pair
1 and 6 add up to 180 degrees meaning they are supplementary. Angle 1 and angle 2 are a linear pair so 180-120=60 which is the degree of angle 1, angle 2 corresponds to angle 6, so angle 1 + angle 6 would equal 180 degrees. (120+60)
5 and 7 are a linear pair which automatically makes them supplementary
The others are vertical angles which don't add up to 180. (120+120=240)(60+60=120)
Use the two-way frequency table to calculate the probability that the person is a democrat, given the fact that the person supports the issue,
P(democrat supports the issue)
Answer:
23/58
Step-by-step explanation:
number of people that support the issue. (58)
start with that first because it is given
now find the number of democrats that are in that column which is 23
b = 21 feet h = 16 feet Find the area of the triangle. 168 sq. feet 85 sq. feet 100 sq. feet 108 sq. feet
Answer:
168 sq
Np also you could've just searched it up
18, 6, 2, ...
Find the 7th term.
Answer:
2/81
Step-by-step explanation:
Firstly find out the common ratio.
And then the general term.
And at last you can find any term(7th term in this case).
The 7th term of the sequence will be 13122.
What is a geometric sequence? What is a expression? What is a mathematical equation?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. The nth term of the sequence will be a[n] = arⁿ ⁻ ¹.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.We have the following sequence -
18, 6, 2 ...
The nth term of the geometric sequence will be a[n] = arⁿ ⁻ ¹.
a[7] = 18 x 3⁶
a[7] = 18 x 9 x 9 x 9
a[7] = 13122
Therefore, the 7th term of the sequence will be 13122.
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