Answer:
y = 2x + 1
Step-by-step explanation:
1. Find the slope: change in y/change in x
[tex]\frac{5-1}{2-0}[/tex] = 2
Slope: 2
2. Find y-intercept by substituting in a point (0, 1)
y = 2x + b
1 = b
3. Put the equation together
y = 2x + 1
The equation of the line passing through the points (0, 1) and (2, 5) is y = 2x + 1.
What is y intercept?y intercept is the y coordinate of the point on the line where it touches the Y axis. The x coordinate will be 0 there.
The equation of a line in slope intercept form is,
y = mx + c
Here m is the value of the slope and c is y intercept.
Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Given two points (0, 1) and (2, 5).
Slope, m = (5 - 1) / (2 - 0)
= 4 / 2
= 2
c is the y coordinate when x = 0.
We have that point given (0, 1).
So c = 1
Substituting m = 2 and c = 1 in the general form, we get,
y = 2x + 1
Hence the equation of the line is y = 2x + 1.
To learn more about y intercepts, click on the link :
https://brainly.com/question/14180189
#SPJ2
I NEED SOME HELP
Bobby rich dude has $120,000 in his account that pays him 5.5% compounded daily. What amount and how much interest will his money earn in 30-days?
Answer:
Interest: Amount Gained: $198,000
Final Balance: Amount After 30 days of Interest: $318,000
Step-by-step explanation:
Equation Used to Solve:
120,000 · 0.055 = 120,000 + (xy)
Let x represent 5.5% of 120,000
Let y represent the number of days.
Solving the equation:
120,000 · 0.055 = 6,600
x = 6,600; y = 30
120,000 + (6,600 · 30) = 120,000 + 198,000
120,000 + 198,000 = 318,000
Find the missing number in the figure?
4
?
6
3
Answer:
2, cause 4/2=2,6/2=3
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Which of the following points does not lie on the graph of y=5x-5?
(0-5)
(1.0)
(-5.0)
Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope-intercept form (y = mx + b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary.
y = 2x ; (4, −4)
Answer:
y = -0.5x -2
Step-by-step explanation:
if two lines are perpendicular, their product equals -1
_________________________________________
let the equation of required line be
y = mx + b as given in the problem to be slope intercept form
m = slope
given line
y = 2x
it is also in y = mx + b , comparing this with y =2x
m = 2 and b =0
now
as product of two perpendicular lines = -1
m*2 = -1
thus
m = -1/2 = -0.5
thus,
slope of required line is -0.5
in y = mx + b
m = -0.5
thus,
y = -0.5x + b
given that this line passes through(4,-4)
putting y = -4 and x = 4 in this equation we can find value of b
-4 = -0.5*4 + b
-4 = -2 + b
=> -4 + 2 = b
thus, b = -2
Thus, slope intercept form of equation is y = -0.5x -2
Based on the number line about how many ounces are there in 8 pounds
In a lab, a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio of the amount of the 30% solution to the amount of 5% solution used to create the 10% solution?
Answer:
1:4
Step-by-step explanation:
He negotiated a 7% decrease on a 6 500 car he will pay the full balance in 12 equal months how much will he pay
Answer:
£503.75
Step-by-step explanation:
100-7=93
6500×0.93=6045
6045/12=503.75
Answer:
$503.75 per month
Step-by-step explanation:
%7 of 6500= 455
6500-455=6045
6045 divided by 12=503.75
write the first 4 terms of the arithmetic sequence With first term 37 and common difference 9
Answers:
first term = 37
second term = 46
third term = 55
fourth term = 64
==========================================
Explanation:
Start at 37. Add 9 to this term to get the second term. Add 9 to that result to get the next term, and so on.
first term = 37
second term = 37+9 = 46
third term = 46+9 = 55
fourth term = 55+9 = 64
-----------
The nth term formula is
a(n) = 9n+28
It can be found by plugging a = 37 and d = 9 into the general form
a(n) = a + d*(n-1)
The four terms of the arithmetic sequence with a first term of 37 and a common difference of 9 are: 37, 46, 55, and 64.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant.
Given:
First term (a1) = 37
Common difference (d) = 9
The arithmetic sequence can be represented as follows:
[tex]a_1[/tex]= 37
[tex]a_2[/tex] = [tex]a_1[/tex] + d
= 37 + 9 = 46
[tex]a_3[/tex] = [tex]a_2[/tex] + d
= 46 + 9 = 55
[tex]a_4[/tex] = [tex]a_3[/tex]+ d
= 55 + 9 = 64
So, the first four terms of the arithmetic sequence are: 37, 46, 55, and 64.
Learn more about arithmetic sequence here:
https://brainly.com/question/15412619
#SPJ3
(03.06 MC) What expression represents the value of y?
Answer:
[tex] y = \sqrt{wz} [/tex]
Step-by-step explanation:
The figure given shows the altitude (y) of a right triangle which is perpendicular to the hypotenuse (CA) of the triangle. The hypotenuse is divided by the altitude into two segments, w and z.
According to right triangle altitude theorem the relationship between y, w, and z is represented as follows:
[tex] y = \sqrt{wz} [/tex]
This expression represents the value of the altitude, y.
Answer:
y = wz with that check mark thingy over it
Step-by-step explanation:
i got the test
which value would make the statement true?
2 4
— > —
? 12
O 4
O 6
O 12
O 24
Pls help guys.
Answer:
the answer is 6
Step-by-step explanation:
the answer is 6
Write an equation for the proportional relationship. Let X represent a length measured in meters and y represent the same length measured in centimeters.
Answer:
[tex]y=100x[/tex]
Step-by-step explanation:
Given that [tex]x[/tex] is the length measured in meters and
[tex]y[/tex] represents the same length measured in centimeters.
Let us first have a look at the relationship between meters and centimeters units of length.
1 unit of length in meters = 100 units of length in centimeters
Therefore, it can be said that:
2 units of length in meters = 200 units of length in centimeters
3 units of length in meters = 300 units of length in centimeters
4 units of length in meters = 400 units of length in centimeters
OR
[tex]x[/tex] units of length in meters = 100[tex]x[/tex] units of length in centimeters
It is given that [tex]y[/tex] is the length in centimeters.
Therefore, the proportional equation can be written as:
[tex]y=100x[/tex]
If 23 is subtracted from 8 times the number, the result is the square of 2 less than the number.
how to solve function to value
[tex]\huge\bold\purple{Answer:-}[/tex]
Evaluating and Solving Functions
LEARNING OUTCOMES
Evaluate and solve functions in algebraic form.
Evaluate functions given tabular or graphical data.
When we have a function in formula form, it is usually a simple matter to evaluate the function. For example, the function
[Math Processing Error]
f(x)=5−3x2
can be evaluated by squaring the input value, multiplying by 3, and then subtracting the product from 5.
HOW TO: EVALUATE A FUNCTION GIVEN ITS FORMULA.
Replace the input variable in the formula with the value provided.
Calculate the result.
EXAMPLE: EVALUATING FUNCTIONS
Given the function[Math Processing Error]
h(p)=p2+2p
, evaluate[Math Processing Error]
h(4).
HOPE IT HELPS ♥️pleas y'all help me with this
Answer:
[tex]-\frac{26}{2}/ -\sqrt{9}/ 13.5(percent)/ 0/ 13.5[/tex]
Step-by-step explanation:
Simplify |-3| + 6 ÷ (4 - 1) • 8.
8
13
19
24
Answer:
C: 19
Step-by-step explanation:
To start we would resolve the absolute value of [tex]|-3|[/tex]. We know that absolute value is the distance from zero so it would be 3.
Our new equation is [tex]3+6/(4-1)*8[/tex]
Now we need to solve in the order of PEDMAS starting with parenthesis to get [tex]3+6/3*8[/tex]
Next in PEDMAS we have Division/Multiplication since we don't have any exponents. We do all the division and multiplication left to right so we would divide to get [tex]3+2*8[/tex] and then multiply to get [tex]3+16[/tex].
Finally, we only have addition left over so our answer would be [tex]19[/tex]
the day Janella and her family left Hawaii, the temperature was 73°F above 0°F. what would a thermometer read at this temperature?
Please Answer
Answer:
73° F
Step-by-step explanation:
Add 73° F to 0° F
The answer is 73° F
Hope I helped :)
Please consider Brainliest :)
Answer:
I think it would be 0 because I devided but i'll try a nother way
Step-by-step explanation:
5-2.32=
what’s the answer
Answer:
2.68
Step-by-step explanation:
5 - 2.32
can be written as
5.00 - 2.32
so write that in verticle format and solve using carry-over subtraction
5.00
- 2.32
______
2.68
A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. X=number of used games y=number of new games which linear equation, written in standard form, expresses the scenario?
Answer:
12x+25y=300.
he can buy 25 used games .hope this helped!
Answer:
12x+25y=300
Step-by-step explanation:
Standard Form= Ax+Bx=C
12x, because $12 for each old video game (x) he gets.
25y, because for each new game (y) it costs $25.
total=300
plug in for standard form
PLZ HELP IM RUNNING OUT OF TIME!!! THIS IS A SIMPLE EXPLANATION PROBLEM PLEASE HELP!!!
The equation 7(x − 4) = 8(x + 8) has one solution. Which of the following best explains why?
A.
The x-terms are the same, but the constant terms are different.
B.
The x-terms are different, and the constant terms are different.
C.
The x-terms are the same, and the constant terms are the same.
D.
The x-terms are different, but the constant terms are the same.
Answer:
C. The x-terms are the same, and the constant terms are the same.
Step-by-step explanation:
Solve for x:
7 (x - 4) = 8 (x + 8)
Hint: | Write the linear polynomial on the left-hand side in standard form.
Expand out terms of the left hand side:
7 x - 28 = 8 (x + 8)
Hint: | Write the linear polynomial on the left-hand side in standard form.
Expand out terms of the right hand side:
7 x - 28 = 8 x + 64
Hint: | Move terms with x to the left-hand side.
Subtract 8 x from both sides:
(7 x - 8 x) - 28 = (8 x - 8 x) + 64
Hint: | Combine like terms in 7 x - 8 x.
7 x - 8 x = -x:
-x - 28 = (8 x - 8 x) + 64
Hint: | Look for the difference of two identical terms.
8 x - 8 x = 0:
-x - 28 = 64
Hint: | Isolate terms with x to the left-hand side.
Add 28 to both sides:
(28 - 28) - x = 28 + 64
Hint: | Look for the difference of two identical terms.
28 - 28 = 0:
-x = 64 + 28
Hint: | Evaluate 64 + 28.
64 + 28 = 92:
-x = 92
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of -x = 92 by -1:
(-x)/(-1) = -92
Hint: | Any nonzero number divided by itself is one.
(-1)/(-1) = 1:
Answer: x = -92
What is the range of the function represented by this graph?
Answer:
No answer but...
Step-by-step explanation:
Look at the graph, subtract the smallest number from the largest number.
Answer:
where is the graph
Step-by-step explanation:
take a screeshot and upload it next time
Can Someone Help Me. ?
Answer:
angles BED and DEA, and angles AEC and BEC are supplementary angles
Step-by-step explanation:
If you do not know what supplementary angles are, then just know that it means two angles added together that equal 180 degrees. So, all you need to do is find two angles on the picture that equal 180 degrees when added together.
I hope this helps! :)
Fill in the blanks from the attachment.
Answer: why was 8 scard of 7
Step-by-step explanation: becues
789
Please help me out fast.
-3x + 4 = -8
A. X = 4
B. X = -4
C. No solution
D. X= -4/3
Answer:
x=4
Step-by-step explanation:
subtract both sides then divide
Again I’m struggling and need some help please?!
Help please !! I need to find x
Answer:
6
Step-by-step explanation:
12x + 3 = 11x + 9 because these two angles are corresponding angles
12x - 11x = 9 - 3
x = 6
you invest $2000 in an account that pays simple interest of 2% for twenty years. what amount of money will you have in 20 years
Answer:
$2971.9
Step-by-step explanation:
2000*(1+2%)^20 = 2971.895
17. The absolute value of -6 and 6 is
Answer:
6
Step-by-step explanation:
What is the value of y?
7-120
56"
7-2030 x g x 65 -=65 65 65 65
Multiply.
3⋅3/5
Enter your answer as an improper fraction, in simplified form, by filling in the boxes.
Answer:
9/5
Step-by-step explanation:
3/1 x 3/5 = 9/5
:HOPE THIS HELPS
Simplify the expression.
Exact Form:
9
_ 9 over 5
5
Decimal Form:
1.8
Mixed Number Form:
1 4/5