Answers
Let's write the equation in standard from
[tex]y = mx + b[/tex]
Where,
m is slope or rate of changeb is the y-intercept or initial valueLet's start by finding slope⤵️[tex] \boxed{ \sf \: m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}}}[/tex]
x1, y1 = 0,12x2, y2 = 1,13[tex] \tt \: m = \frac{13 - 12}{1 - 0} [/tex]
[tex] \tt \: m = \frac{1}{1} [/tex]
[tex] \tt \: m = 1[/tex]
b = 12Equation⤵️[tex] \sf \: y = 1x + 12[/tex]
Solution:
Step-1: Create a coordinate plane.
Graph attached~Step-2: Plot the points on the graph.
Points have been plotted on the graph.Step-3: Choose any two points on the graph.
My chosen points are (2,14) and (3,15).Step-4: Find the slope of the line by using y₂ - y₁/x₂ - x₁.
=> 15 - 14/3 - 2=> 1/1=> Slope = 1Step-5: Find the y-intercept.
We are given a point (0,12), where 0 is the x-coordinate. Since it is 0, 12 is the y-intercept.Step-6: Revise the equation created.
y = mx + b (m = slope; b = y-intercept)=> y = (1)x + 12=> y = x + 12Hoped this helped!
Related Questions
Please Factor -5x²+13x+6
Answers
Answer:
[tex](x-3)(-5x-2)[/tex]
or [tex]-(x-3)(5x+2)[/tex]
Step-by-step explanation:
quadratic equation format: [tex]a^2+b^2+c[/tex]
Therefore, for [tex]-5x^2+13x+6[/tex], a = -5, b = 13 and c = 6
Multiply the coefficient of [tex]x^2[/tex] ([tex]a[/tex]) by the constant term ([tex]c[/tex])
[tex]\implies -5 \times 6 = -30[/tex]
Find two numbers which have a product of -30 and a sum of [tex]b[/tex] (13)
Factors of 30: 1 and 30, 2 and 15, 3 and 10, 5 and 6
So -2 and 15 have a product of -30 and sum of 13.
Rewrite [tex]13x[/tex] as [tex]15x-2x[/tex] and substitute into the equation:
[tex]\implies -5x^2+15x-2x+6[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies-5x(x-3)-2(x-3)[/tex]
The bracket created should always be the same.
The two brackets have now been found. The first bracket is the common factor of (x - 3). The second bracket is the factorized terms outside of each bracket (-5x - 2).
[tex]\implies (x-3)(-5x-2)[/tex]
Additionally, we can write (-5x - 2) as -(5x + 2)
[tex]\implies -(x-3)(5x+2)[/tex]
Im back again... and i need help. sorry but im doing a second attempt for math and its on geometery and i hate geometery
Answers
Answer: 1/3
Step-by-step explanation:
The scale factor is 1/3 because each side of figure B is 1/3 the magnitude of figure A.
Becky's brother forgot about the fees that his investment account was charging him! He is charged 2% off the annual rate of return as an account management fee. Including the fee, about how much longer will it take him to double his money?
Answers
The number of years it would take to double his money is 34.7 years.
How long would it take to double his money?
The formula that can be used to determine time is:
Number of years = In(FV/PV) / r
Where:
FV = future valuePV = present valuer = interest rateFV / PV = 2In2 / 0.02 = 34.7 years
To learn more about doubling time, please check: https://brainly.com/question/25770999
Joy and Willa left $3 each for a tip on a $44 restaurant bill. They are sharing the bill. How much does each person owe??
Answers
44-6= 38/2= 19
They each owe $19 if they each pay $3 tip.
We minus total by the tip and divide this by 2.
Hope this helps!
I need help finding the area for the given shape.
Answers
Step-by-step explanation:
a = ½bh
a = ½ × 3 × 6
a = ½ × 18
a = 9 in²
Answer:
18in
Step-by-step explanation:
6×3=18
hope its help
Identify the parent function of f(x)=-3x^3-3
Answers
Answer:
f(x) = x^3
Step-by-step explanation:
To identify the parent function, replace any added constants with 0, and replace any constant multipliers with 1. Doing that gives you ...
f(x) = 1·x^3 -0
f(x) = x^3 . . . . . . the parent function
Match the following to their correct classification
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
4x+20
4x+20>40
4x+20=40
The option " Inequality " (3 of 3) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.
Answers
An expression can either be an equation or an inequality.
The correct classification of the terms are:
Expression; 4x+20Inequality: 4x+20>40Equation: 4x+20=40How to determine the correct classificationTo determine the correct classification, we make use of the following highlights
When an expression has the "=", then the expression is an equation.When an expression has any of the following sign ">, <, >=, <= or != ", then the expression is an inequality.When the expression is neither an equation nor an inequality, then it is just an expression.Hence, the correct classifications are:
Expression; 4x+20Inequality: 4x+20>40Equation: 4x+20=40Read more about equations and inequalities at:
https://brainly.com/question/22406619
Answer: the answer is Expression; 4x+20
Inequality: 4x+20>40
Equation: 4x+20=40
Step-by-step explanation:
took the test
Over the last three evenings, Ann received a total of 70 phone calls at the call center. The first evening, she received 6 more calls than the third evening. The second evening, she received 2 times as many calls as the third evening. How many phone calls did she receive each evening? Number of phone calls the first evening: Number of phone calls the second evening: Number of phone calls the third evening:
Answers
Let x represent the number of calls received on the second evening.
The number of calls received on the first evening is x - 10.
The number of calls received on the third evening is 2x.
The sum of calls received on the three evenings is (x - 10) + x + 2x, and this is equal to 50:
(x - 10) + x + 2x = 50
4x - 10 = 50
4x = 50 + 10
4x = 60
x = 60/4
x = 15
The number of calls received on each evening is then:
First evening: x - 10 = 15 - 10 = 5
Second evening: x = 15
Third evening: 2x = 2(15) = 30
Check: 5 + 15 + 30 = 60
Please help solve these two equations
Answers
Answer:
5. (x,y) = (2.3)
Step-by-step explanation:
1/2x + 2 = x+1
x = 2
y = 2+1
y = 3
(x,y) + (2,3)
{3 = 1/2 x 2 + 2
{3 = 2 + 1
{3 = 3
{3 = 3
Answer:
3. no solution
5. (x, y) = (2, 3)
Step-by-step explanation:
3.-5x +y = 1
-10x +2y = -2
Multiply the first equation by -2 and add the second equation:
-2(-5x +y) +(-10x +2y) = -2(1) +(-2)
10x -2y -10x +2y = -2 -2 . . . . eliminate parentheses
0 = -4 . . . . . . . . . no variable values will make this true: NO SOLUTION
(The lines graph as parallel lines.)
__
5.y = 1/2x +2
y = x +1
Subtract the first equation from the second:
(y) -(y) = (x +1) -(1/2x +2)
0 = 1/2x -1
0 = x -2
2 = x
y = x +1 = 2 +1 = 3 . . . . use the second equation to find y
The solution is (x, y) = (2, 3).
Point A (-5, -3) and point B (1,5) are located on a coordinate grid. Which measurement is closest to the distance between point J and point K in units?
Answers
Answer:
-2 ,1
Step-by-step explanation:
I think its -2, 1 because its in the middle
f(x)=12x-8. evaluate f(-7)
Answers
f(x)=12x-8
f(-7)=12(-7)-8
f(-7)= -84-8
f(-7)= -92
4. Emily's house has a chimney. What is the
volume of her chimney?
4 in.
9 in.
12 in.
3 in.
4 in.
6 in.
Giving brainliest! Tysm!
Answers
Answer:
130 in will be the correct answer
Select the expressions that are equivalent to 2q + 8q.
q • 10
10q
q +9q
q + q+ 8q
Answers
Answer:
10qq +9qq + q+ 8qStep-by-step explanation:
We know that, when combining 2q + 8q we'll get → 10q
1) q • 10 (Nope)
2) 10q (yes, It's equivalent)
3) q +9q (combine) → 10q (yes, It's equivalent)
4) q + q+ 8q (combine) → 10q ( yes, It's equivalent)
So therefore, 10q , q +9q, q + q+ 8q are expressions equivalent to 2q + 8q..
~
Hope this helps!
What is the area of this trapezoid?
Enter your answer in the box.
units2
A rectangle with a length of 3 and a height of 8 has two right triangles on each side of it with short leg lengths of 7.
Answers
Answer:
80 squared units.
Step-by-step explanation:
7 × 8 = 56 u squared for the triangles
you don't need to divide by two because there are two triangles.
3 × 8 = 24 u squared for the rectangle
56 + 24 = 80 squared u
Brainliest Appreciated!
Can you help me this
Answers
Answer:It’s A: Population.
Step-by-step explanation:
Major League Baseball requires baseball to pass a test to measure their resiliency. Baseballs approved for use in Major League Baseball must have a COR or coefficient of restitution of 0.546+_ 0.032
Answers
Answer:
0.578
Step-by-step explanation:
0.578
Answer:
0.578
Step-by-step explanation:
I'm sorry if this is wrong
What is the combined weight if the 3/4 lb bags
Answers
log(8(1 + 3x))
I need help, I have looked at multiple examples and going off of that I get log(2)+log(1+3x)
Answers
(Show in number line): 2x<x+7
Answers
x
x
by simplifying both sides of the inequality, then isolating the variable.
Inequality Form:
x
<
7
x
<
7
Interval Notation:
(
−
∞
,
7
)
Solve for m
bm + h = 93
Answers
Answer:
m = 93 - h / b
Step-by-step explanation:
bm + h = 93
bm = 93 - h
m = 93 - h / b
Hope it helps ⚜
Answer:
[tex]bm + h = 93 \\ add \: h \: to \: both \: sides \\ bm + h + - h = 93 + - h \\ bm = - h + 93 \\step2 \: \: divide \: both \: sides \: by \: b \\ \frac{bm}{b } = \frac{ - h + 93}{b} \\ m = \frac{ - h + 93}{b} [/tex]
Help me plssssssssssss
Answers
Answer:
A. 23.1
B. 0.3
Step-by-step explanation:
When rounding to one decimal place, look at the next number, (in this case, in the hundredths column) if the number is 5 or above, round up and if it’s four or below, round down
In the figure below, AD and EC intersect at point G, mAGB= 31°, and mAGE equal 71°
Answers
Answer: A
Step-by-step explanation:
Because angle EGC is as straight angel, angle BGC = 180 - 31 - 71 = 78
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
4, 9, 14, ...
Answers
Answer:
Step-by-step explanation:
As we can see 4+5=9, 9+5=14
Find the surface area of this rectangular prism. Be sure
2 cm
2 cm
9 cm
Answers
Answer: 80 cm^3
Step-by-step explanation:
I assume you mean that the sides of the rectangular prism are of lengths 2cm, 2cm, and 9 cm.
Surface area of a rectangular prism: 2(wl+hl+hw)
2((2*2)+(9*2)+(9*2))
=2(4+18+18)
=2(40)
=80cm^3
Hope this helped.
−3 and 7/10 / 2 and 1/4
Answers
Answer:
Step-by-step explanation:
(7/10 + -3)/(2 + 1/4)
(7/10 - 30/10)/(8/4 + 1/4)
(-23/10)/(9/4)
-2.3/2.25
-0.46/0.45 or -1.02 approximately
Answer:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
[tex]\frac{74}{45}[/tex]
Decimal Form:
−1.64
Mixed Number Form:
−1 [tex]\frac{29}{45} \\[/tex]
Step-by-step explanation:
branliest
The average value of a function f over the interval [−1,2] is −4, and the average value of f over the interval [2,7] is 8. What is the average value of f over the interval [−1,7] ?
Answers
The average value of a continuous function f(x) over an interval [a, b] is
[tex]\displaystyle f_{\mathrm{ave}[a,b]} = \frac1{b-a}\int_a^b f(x)\,dx[/tex]
We're given that
[tex]\displaystyle f_{\rm ave[-1,2]} = \frac13 \int_{-1}^2 f(x) \, dx = -4[/tex]
[tex]\displaystyle f_{\rm ave[2,7]} = \frac15 \int_2^7 f(x) \, dx = 8[/tex]
and we want to determine
[tex]\displaystyle f_{\rm ave[-1,7]} = \frac18 \int_{-1}^7 f(x) \, dx[/tex]
By the additive property of definite integration, we have
[tex]\displaystyle \int_{-1}^7 f(x) \, dx = \int_{-1}^2 f(x)\,dx + \int_2^7 f(x)\,dx[/tex]
so it follows that
[tex]\displaystyle f_{\rm ave[-1,7]} = \frac18 \left(\int_{-1}^2 f(x)\,dx + \int_2^7 f(x)\,dx\right)[/tex]
[tex]\displaystyle f_{\rm ave[-1,7]} = \frac18 \left(3\times(-4) + 5\times8\right)[/tex]
[tex]\displaystyle f_{\rm ave[-1,7]} = \boxed{\frac72}[/tex]
Find the volume of this cylinder
Answers
Describe the transformation for g(x) = -f(x) - 5.
A. reflection over the x-axis and a vertical translation down by 5 units
B. reflection over the y-axis and a vertical translation up by 5 units
C. reflection over the x-axis and a horizontal translation to the right by 5 units
D. reflection over the y-axis and a horizontal translation to the left by 5 units
Answers
Answer:
A) reflection over the x-axis and a vertical translation down by 5 units
Step-by-step explanation:
Making the output negative reflects the graph over the x-axissubtracting or adding a constant from/to the function translates it down/up (along the y-axis) by that many unitswhat is the area of the shaded triangle?
steps please
Answers
Answer:
area of shaded: 30 m²
Explanation:
Here triangle is inscribed in a rectangle.Rectangle area: Length * WidthTriangle area: (1/2) * base * heightThe triangle here is shaded.Steps:
Rectangle area: 6 * 10 = 60 m²
Triangle area: (1/2) * 6 * 10 = 30 m² .......this is the area of shaded.
Answer:
30m²
Step-by-step explanation:
Let's derive the area of a triangle
We know the formula for the area of a rectangle:
[tex]\text{A = l * w}[/tex]Here, we can see that the area of the triangle is the rectangle's are divided by 2, or half of the rectangle's area.
Here's the formula for the area of a triangle:
[tex]\text{A} = \frac{1}{2}\text{b * h}[/tex]B is the base, the same as the length
H is the height, the same as the width
Solve:
[tex]\text{A} = \frac{1}{2}\text{b * h}[/tex][tex]\text{A} = \frac{1}{2}(10 * 6)[/tex][tex]\text{A} = \frac12(60)[/tex][tex]\text{A} = 30\\[/tex]The units is m * m, or m²
Area = 30m²
-Chetan K
Find the first four terms of the sequence given by the following.
aₙ=43-3(n-1) n=1,2,3. . .
Answers
Given :-
The general term of a sequence is given by aₙ=43-3(n-1) .To Find :-
The first four terms of the sequence.Solution :-
The given expression is [tex] /[/tex]
→ aₙ=43-3(n-1)
where n > 0
Finding the first term :
Substituting n = 1 , we have ,
→ T1 = 43 - 3(1-1)
→ T1 = 43 - 3*0
→ T1 = 43 - 0 = 43
Finding the second term :
Substituting n = 2 , we have,
→ T2 = 43 -3(2-1)
→ T2 = 43 -3*1
→ T2 = 43 -3 = 40
Finding the third term :
Substituting n = 3 , we have,
→ T3 = 43 -3(3-1)
→ T3 = 43 -3*2
→ T3 = 43 -6 = 37
Finding the fourth term :
→ T4 = 43 -3(4-1)
→ T4 = 43 -3*3
→ T4 = 43-9 = 34
Hence the first four terms of the sequence are 43 , 40 , 37 and 34 .
I hope this helps . Let me know if you need further clarification .