Answer: f(x) = 2x - 3
===================================================
We're given f(-1) = -5 and f(5) = 7
This means we know the two points (-1,-5) and (5,7) are on the line.
Find the slope
m = (y2-y1)/(x2-x1)
m = (7-(-5))/(5-(-1))
m = (7+5)/(5+1)
m = 12/6
m = 2
The slope is 2.
Use this along with (x1,y1) to find the equation. We'll use point slope form
y - y1 = m(x - x1)
y - (-5) = 2(x - (-1))
y + 5 = 2(x + 1)
y = 2x + 2 - 5
y = 2x - 3
f(x) = 2x - 3
Solve the equation
[tex](\frac{1}{2})^{2x+1}=1[/tex]
9514 1404 393
Answer:
x = -1/2
Step-by-step explanation:
Anything raised to the power of 0 is 1.
(1/2)^(2x+1) = 1 = (1/2)^0
Equating exponents gives ...
2x +1 = 0
2x = -1 . . . . subtract 1
x = -1/2 . . . divide by 2
If you answer 30 problems on Brainly in a day and 12 people find your answer helpful on each problem, now many people did you help out?
Answer:
600 people
Step-by-step explanation:
30x12=600.
i need help. it’s due tonight.thank you
Answer:28
Step-by-step explanation:
Which function represents the area with respect to time?
could you solve x. If possible could you be fast with it 2x+3=5x+3–3x
Answer:
3 = 3 (infinitely many solutions)
Step-by-step explanation:
Find the recursive rule, explicit rule, and f(20)
Answer:
Recursive:
[tex]f(1)=35, f(n)=f(n-1)+10[/tex]
Explicit:
[tex]f(n)=35+10(n-1)[/tex]
And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:
[tex]f(n)=a, f(n)=f(n-1)+d[/tex]
Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:
[tex]f(1)=35, f(n)=f(n-1)+10[/tex]
Explicit Rule:
The standard format for the explicit rule is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:
[tex]f(n)=35+10(n-1)[/tex]
Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:
[tex]f(20)=35+10(20-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}[/tex]
Hence, the 20th term is 225.
Find three consecutive integers whose sum is -3.
Answer:
-2, -1, 0Step-by-step explanation:
Let the integers be:
n, n + 1 and n + 2Then we have the sum:
n + n + 1 + n + 2 = -33n + 3 = -33n = -6n = -2So the numbers are: -2, -1, 0
. The graph of 2x – y = 3 is shown on the coordinate grid.
Which ordered pair is NOT in the solution set of 2x – y > 3? (2, 0) (2, 1) (1, –3) (3, –1)
Answer
2,1
Step-by-step explanation:
all the others or on one side besides that one with is on the line
The ordered pair which is not in the solution set of 2x – y > 3 is that which is a solution of the graph of 2x – y = 3 and is; (2, 1)
According to the question;
We are required to determine which ordered pair is NOT in the solution set of 2x – y > 3Evidently, among the choices of coordinates; only (2, 1) is a solution of the equation 2x – y = 3.
By testing;
2(2) - 1 = 33 = 3.As such, since (2,1) is a solution of the equation 2x – y = 3, it can't also be a solution of 2x – y > 3.
Read more:
https://brainly.com/question/21766426
Type only a number for your answer
Answer:
x = 80
Step-by-step explanation:
x + 30 = 110 (opposite sides are congruent/equal)
x = 110 - 30 (subtract the 30 from both sides to get X by itself)
x = 80 (simplify)
If p and q are non-zero rational numbers, and s and t are irrational numbers, select all of the statements that are always false.
answer choices are
The product pq is irrational.
The product pt is irrational.
The quotient pq is irrational.
The product st is irrational.
The quotient st is rational.
Answer:
The false choices are A, C, and E
Step-by-step explanation:
Let's make an example:
p=1
q=2
s=sqrt(3)
t=sqrt(6)
Since pq=1*2=2, the answer is rational and A is false.
Since pt=1*sqrt(6)=sqrt(6), the answer is irrational and B is true.
Since p/q=1/2=0.5, the answer is rational and C is false.
Since st=sqrt(3)*sqrt(6)=sqrt(18), the answer is irrational and D is true.
Since s/t=sqrt(3)/sqrt(6)=sqrt(1/2), the answer is irrational and E is false.
The false statements are:
The product pq is irrational.
The quotient pq is irrational.
The quotient st is rational.
A rational number is a number can be expressed as a fraction of two whole numbers. While, an irrational number is a number that cannot be expressed as the fraction of two whole numbers.
Examples of rational numbers are: 6, 2,3
Examples of irrational numbers are: √2, √3
Let p and q be represented with 2 and 6 respectively.
The product of 2 and 3 = 2 x 6 = . The number is a rational number
Let p and t be represented with 2 and √2 respectively.
The product of 2 and √2 = 2 x√2 = 2√2. The product is irrational
The quotient of pq = 6 /2 = 3.
The quotient is rational.
Let s and t be represented with √2, √3. The product is √2 x √3 = √6. The product is irrational.
The quotient of s and t = √2 /√3.
The number is irrational.
To learn more about rational numbers, please check: https://brainly.com/question/15815501?referrer=searchResults
Find the slope of the line that passes through: (-3,-4) and (7,6)
the statue is how tall?
PLEASE HELP ASAP!!
Answer:
Accounting for its formula,
The statue is roughly 12ft. tall
The new number, 500 is 200 more than the original number. What is the approximate percent change?
A. The percent change is approximately 33%.
B. The percent change is approximately 55%.
C. The percent change is approximately 150%.
D. The percent change is approximately 175%.
Answer:
B.
Step-by-step explanation:
The percent change is approximately 55 %
HELP ASAP pls!just say wether there positive or negative
Answer:
Line 1 = Negative
Line 2 = Zero
Line 3 = Positive
Line 4 = Undefined
Step-by-step explanation:
Line 1's gradient is negative since it's sloping down.
Line 2's gradient stays at 0 since it does not go upwards or downwards.
Line 3's gradient is positive since it's tilting upwards.
Line 4's gradient is undefined since the line shoots up on the same point on the x-axis so the gradient cannot be determined by a single rational number.
24)The table represents some points on the graph of a linear function. Which function represents the same relationship?
A) g(x) = 2x
B) g(x) = x - 3
C) g(x) = x - 8
D) g(x) = 2x - 8
25)Which system of equations could be used to solve for the point of intersection of the lines on the graph?
A) y = 3/4x + 1 and y = -4/3x + 9
B) y = 3/4x - 1 and y = -4/3x + 9
C) y = 3/4x - 1 and y = -3/4x = 9
D) y = 4/3x + 1 and y = -4/3x + 9
Answer:
A) D) g(x) = 2x - 8
2) B) y = 3/4x - 1 and y = -4/3x + 9
Step-by-step explanation:
1)
In the table, we have the points
(5, 2)
(7, 6)
(9, 10)
(10, 12)
This seems to be a linear relationship, so let's try that:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1)
If we use the first two points, we get the slope:
a = (6 - 2)/(7 - 5) = 4/2 = 2
if we use the first and last point, we get the slope:
a = (12 - 2)/(10 - 5) = 10/5 = 2
Then we can conclude that this is a linear relationship with a slope equal to 2.
y = 2*x + b
To find the value of b, we can just replace any of the points of the data table in the equation, for example, i will use the point (5, 2).
this means that x = 5, and y = 2.
2 = 2*5 + b
2 = 10 + b
2 - 10 = b
-8 = b
Then the equation is:
y = 2*x - 8
the correct option is: D) g(x) = 2x - 8
2) Here we have two lines, notice that we can with just looking at the image, know the y-intercept of each line.
The one with a positive slope (grows to the right) has a y-intercept = - 1.
The one with a negative slope (grows to the left) has a y-intercept = 9.
The two options that match this condition are:
B) y = 3/4x - 1 and y = -4/3x + 9
C) y = 3/4x - 1 and y = -3/4x + 9
Where the only difference is the slope of the black line.
so et's check which slope matches that line.
In the graph we can see that it passes through the points:
(0, 9) and the point (6, 1)
Then the slope is:
a = (1 - 9)/(6 - 0) = -8/6 = -4/3
Then the correct option is where the negative slope is -4/3, that one is
B) y = 3/4x - 1 and y = -4/3x + 9
How do you write 0.166666... as a fraction?
Answer:
0.166666 in fraction form is 83333/500000.
Step-by-step explanation:
Round each fraction to the nearest whole, 1/2, or 0:
1. 1/2
12/5
2. 11/2
7/9
3. 1
4/9
4. 4
3 5/7
Answer:
1 2/5 = 1 1/2
7/9 = 1
4/9 = 1/2
3 5/7 = 4
Step-by-step explanation:
1. we must round 1 2/5
based on the answer choices we can determine that 1 1/2 is the most rational answer. This is because it is not only the only answer with the whole number, 1 but also 2/5 would round to 1/2.
2. We must round 7/9
This would round up to 1. This is because it is closest to the whole number, not 0 and not 1/2.
7 * 2 = 14
9 * 2 = 18
14/18 is only 4/18 away from being 1. This means that it would round up to 1.
3. we must round 4/9
This rounds to 1/2. If you multiply both side by 2:
4 * 2 = 8
9 * 2 = 18
8/18 for that to be 1/2 it would need 1/18. Thus this rounds up to 1/2.
4. We must round 3 5/7
5/7 would round up to a whole number.
3 + 1 = 4
Thus 3 5/7 = 4 when rounded to the nearest whole number.
which data set has a mean of 12 and a mean absolute deviation of 1
Step-by-step explanation:
17 i think I hope its right
An investment of $1,000 is earning interest at the rate of 3.8% compounded daily over 3 years. Approximately how much interest is earned on the investment?
(PLEASE SHOW WORK)
a.
$892.26
b.
$1120.75
c.
$120.75
d.
$38.73
Answer:
c. $120.75
Step-by-step explanation:
The correct answer between all the choices given is the third choice or letter C. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.
I need help finding the value of x please.
Answer:
X = 12
Measure of exterior angle = 80
Step-by-step explanation:
Angles P and Q are equal to the right side of R ( solve for x )
Find the slope and the y-intercept of the graph of y - 3.5 = -2x
thanks if you help!!
Answer:
Slope is -2 and y intercept is 3.5
Step-by-step explanation:
Basically you change it into slope intercept form by adding 3.5 on both sides to get y by itself, then you have the slope and the y intercept.
What do 89/90 equal but not as a decimal or a percent as a fraction HELP ME
Answer:
it equals 89/90
Step-by-step explanation:
the gcf of 89, 90 is 1, so the fraction can not be simplified. The answer is 89/90.
Hurry please :)!!!!
Answer:
I'm not sure but I think it's LDTC
Step-by-step explanation:
Look at photo because I don’t get it
Answer:
a) (-2,2), (-1,-1), (1,-1), (3,7)
b) x=1.4
Answer:
a) (-2, 2), (-1, -1), (1, -1), (3, 7)
b) x = 1.4
Step-by-step explanation:
a) Plug in your x & solve for y.
[tex]y = (-2)^2 - 2\\y = 2\\y = (-1)^2 - 2\\y = -1\\y = (1)^2 - 2\\y = -1\\y = (3)^2 -2\\y = 7[/tex]
b) Same thing as a, but just plug in 0 for y & solve for x
[tex]0 = x^2 -2\\2 = x^2\\\sqrt(2) = x\\1.4 = x[/tex]
295 words in 6 minutes ; What are the words/min.? (round to the nearest tenth)
a
49.0 words/min
b
49.2 words/min
c
49.1 words/min
d
49.16 words/min
Answer:B. 49.2 words/min
Step-by-step explanation:
what the slope of(-7,-4) (2,-7)
Answer:
[tex]m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-7, -4)
Point (2, -7)
Step 2: Find slope m
Substitute: [tex]m=\frac{-7+4}{2+7}[/tex]Add: [tex]m=\frac{-3}{9}[/tex]Simplify: [tex]m=\frac{-1}{3}[/tex]how do you solve 6(2x - 1) = 4 + 7x
Answer:
Simplifying
6(2x + -1) = 4 + 7x
Reorder the terms:
6(-1 + 2x) = 4 + 7x
(-1 * 6 + 2x * 6) = 4 + 7x
(-6 + 12x) = 4 + 7x
Solving
-6 + 12x = 4 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-6 + 12x + -7x = 4 + 7x + -7x
Combine like terms: 12x + -7x = 5x
-6 + 5x = 4 + 7x + -7x
Combine like terms: 7x + -7x = 0
-6 + 5x = 4 + 0
-6 + 5x = 4
Add '6' to each side of the equation.
-6 + 6 + 5x = 4 + 6
Combine like terms: -6 + 6 = 0
0 + 5x = 4 + 6
5x = 4 + 6
Combine like terms: 4 + 6 = 10
5x = 10
Divide each side by '5'.
x = 2
Simplifying
x = 2
Step-by-step explanation:
If 3 pounds of apples cost $1.89 how much do 5 pounds cost
Answer:
$3.15
Step-by-step explanation:
divided by 3 then multiplied by 5
give brainliest please!
Answer:
3.15
Step-by-step explanation:
Michael has a set of 24 math problems to do for homework. Michael completed of his homework
3
in
of an hour. If he continues at this rate, what fraction of his homework would he complete in one
hour?
Answer:
3/8 easy-peasy
Step-by-step explanation:
What is the surface area of each solid to the nearest tenth
Answer:
192in
Step-by-step explanation: