Answer:
y=-3x-10.5
Step-by-step explanation:
Let's use the first set of numbers.
-7.5 and 12
-3.5 and 0
Our rise here is -12 and run is 4. So, our slope is -3.
Now we just need our intercept.
y = mx + b
y = -3x + b
0 = -3(3.5) + b
b = -10.5
The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The table represents some points on the graph of a linear function.
х у
-7.5 12
-3.5 0
-1 -7.5
2 -16.5
3.5 -21
Take two points from the table, then the points are (-7.5, 12) and (-3.5, 0). Then the equation of the line is given as,
y - 0 = [(-3.5 + 7.5) / (0 - 12)](x + 3.5)
y = - (1/3)(x + 3.5)
3y = - x - 3.5
x + 3y + 3.5 = 0
The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.
More about the line passing through two points link is given below.
https://brainly.com/question/12740817
#SPJ5
Find the inverse of the following functions algebraically
4*4*6*4*4*6 in exponential form
Answer:
4^4×6^2
Step-by-step explanation:
There are four 4's and two 6's
So in exponential form it is 4^4×6^2
A line passes through the point (-9,1) and has a slope of -2/3
Answer:
y - 1 = (-2/3)(x + 9)
Step-by-step explanation:
Here you are given a point on a line and the slope of the line. You'll need to apply the "point-slope" formula
y - k = m(x - h) (Memorize this)
Then m = slope = -2/3, h = -9 and k = 1.
Making the appropriate substitutions, we get:
y - 1 = (-2/3)(x + 9)
line I is the perpendicular bisector of MN. find m
Answer:
m = 68
Step-by-step explanation:
MN bisects it or splits it in half so we know N = M, which we could also write as 8x-12 = 5x+18 because they give us those equations
once you have 8x-12 = 5x+18 you can subtract 5x from both sides, so you will get 3x-12 = 18, then you can add 12 to both sides and you will get 3x = 30. Once you have narrowed down to this you can divide three by both sides making x = 10
Now that we know x =10 we can insert it into the equation
5(10) + 18 = m
50 + 18 = m
m = 68
What vocabulary words can you use to describe 36 and 27?
Answer:
Divisible by 3 and 9
Step-by-step explanation:
Answer
multiples of 3 and 9
Step-by-step explanation:
3*12=36
9*3=27
9*4=36
Rewrite the equation 4x^2 - 3x + 9 = 2x+1 in Standard form pls
Answer:
[tex]4x^2-5x+8=0[/tex]
Step-by-step explanation:
[tex]4x^2-3x+9=2x+1[/tex]
We need to get the equation in standard form:
[tex]ax^2+bx+c=0[/tex]
Subtract [tex]2x[/tex] from both sides of the equation:
[tex]4x^2-5x+9=1[/tex]
Subtract [tex]1[/tex] from both sides of the equation:
[tex]4x^2-5x+8=0[/tex]
Solve the word problems using either the percent equation or the percent
proportion. Make sure to answer in a complete sentence. Round to the whole
number if necessary.
Tyler and Ilan scored 48% of their team’s points in the math
competition. If they scored 84 points, what was the team’s total score?
Answer:
Tyler and llan scored 24 points.
Explanation:
Another way to state this problem is what is 48% of 50.
"Percent" or "%" means "out of 100" or "per 100", Therefore 48% can be written as
48
100
.
When dealing with percents the word "of" means "times" or "to multiply".
Finally, lets call the number we are looking for "n".
Putting this altogether we can write this equation and solve for n
while keeping the equation balanced:
n=48,100 × 50
n = 24,001,00
n= 24
Step-by-step explanation:
Solve the differential equation y" + 3y' + 2y = P1 where, y" = d2y/dx2, y' = dy/dx, P1 = P1(x)) and the initial conditions are y(0) = 0, y'(0) = 0. The input function is given by P1() = { 0, < 0 1, 0 ≤ ≤ 1 0, > 1
Answer:
[tex]y(x) = 0[/tex]
Step-by-step explanation:
Let P(1) = 0, the differential equation becomes:
y" + 3y' + 2y = 0
Also let y' = my and y'' = m²y
Substitute
m²y+3my+2y = 0
(m²+3m+2)y = 0
The auxiliary equation is expressed as:
m²+3m+2 = 0
Factorize
m²+2m+m+2 = 0
m(m+2)+1(m+2) = 0
(m+1)(m+2) = 0
m+1 = 0 and m+2 = 0
m₁ = -1 and m₂ = -2
Since the value of m is real and distinct, the solution to the differential equation will be expressed as:
[tex]y = C_1e^{m_1x}+C_2e^{m_2x}\\[/tex]
[tex]y(x) = C_1e^{-x}+C_2e^{-2x}\\[/tex]
Given the initial condition y(0) = 0
[tex]y(0) = C_1e^{-0}+C_2e^{-2(0)}\\0 = C_1+C_2\\C_1+C_2 = 0 ................. 1[/tex]
If y'(0) = 0
[tex]y'(x) = -C_1e^{-x}-2C_2e^{-2x}\\y'(0) = -C_1e^{-0}-2C_2e^{-2(0)}\\0 = -C_1-2C_2\\C_1-2C_2 = 0...................... 2[/tex]
Solve eqn 1 and 2 simultaneously
From 1:
C₁ = -C₂ .......... 3
Substitute equation 3 into 2:
-C₂-2C₂ = 0
-3C₂ = 0
C₂ = 0
Substitute the constant into the differential equation.
[tex]y(x) = C_1e^{-x}+C_2e^{-2x}\\\\y(x) = 0[/tex]
If f(x) = x? - x, what is f(-5)?
Answer: f(-5)= -5
Step-by-step explanation:
If f(x)=x then f is one and 1 times -5 is -5
The length of a rectangle is 3m more than the width. The area is 70m². Find the dimensions of the rectangle.
If it were a square it would be 17.5meters on every side, but we are not solving for a square we are solving for a rectangle. The dimensions for this rectangle are 19 long 16 wide.
Answer:
304m?
Step-by-step explanation:
okay bye
bye
the ratio of students getting an A in math to students getting a B is 1:2. if 23 students received an A, how many received a B?
3 6=-3(x+2) need help
Answer:
x = -14
Step-by-step explanation:
Hi there !
36 = - 3(x + 2)
36 = - 3x - 6
3x = - 36 - 6
3x = - 42
x = - 42/3
x = - 14
Good luck !
if y= -4 when x=2, find y when x=-6.
Answer:
y=12
Step-by-step explanation:
2*-2=-4
-6*-2=12
y=12
Answer: erbgv
Step-by-step explanation:
1. The center of circle S is (9,2), and the radius of the circle is 5 units. Which point is on the circle?
Answer:
Find the equation of the circle that is shifted 5 units to the left and 2 units down from the circle ... If one circular table has a radius of 4 feet and a center at C(-4, 6), find the center and ... The points (-5, 2) and (-5, 8) lie on a circle with a radius of 3.
Step-by-step explanation:
hope this helps
w = 8.75h
What is an impossible value for h?
Answer:
h = 0.1 142857 w
Step-by-step explanation:
Answer:
hayy
Step-by-step explanation:
Question 5 please. I need help with thus.
Answer:
TU = 63.84 in
Step-by-step explanation:
Since T lies on RU, then
RT + TU = RU, substitute values
9x - 2.64 + 11x - 4.36 = 117, that is
20x - 7 = 117 ( add 7 to both sides )
20x = 124 ( divide both sides by 20 )
x = 6.2
Thus
TU = 11x - 4.36 = 11(6.2) - 4.36 = 68.2 - 4.36 = 63.84 in
PLEASE ANSWER IT CORRECT PLEASE!!!
Answer:
11. y=1 1/3x-3
12. y-4=3(x-2)
Step-by-step explanation:
here ya go
Which of the following is equivalent to 5x-6y=20?
A y=5/6x
B y=5/6x-10/3
C y=6/5x+4
D y=-5/6x
Answer:
y = [tex]\frac{5}{6}[/tex]x - [tex]\frac{10}{3}[/tex]
Step-by-step explanation:
Given expression:
5x - 6y = 20
To solve this problem, we make y the subject of the expression:
Solution
5x - 6y = 20
Add -5x to both sides of the expression;
-5x + 5x - 6y = 20 + (-5x)
-6y = 20 - 5x
Now, multiply both sides by [tex]-\frac{1}{6}[/tex] ;
[tex]-\frac{1}{6}[/tex] x (-6y) = [tex]-\frac{1}{6}[/tex] (20 - 5x )
y = [tex]-\frac{20}{6}[/tex] + [tex]\frac{5}{6}[/tex]x
y = [tex]\frac{5}{6}[/tex]x - [tex]\frac{10}{3}[/tex]
Find the missing numbers:
x2 – 9x + 20 = (x – ?)(x – ?)
Answer:
bloop
Step-by-step explanation:14 and 30
could some one please help I'm not that good with math
Answer:
D and E
Step-by-step explanation:
It is acute because all angles are under 90 degrees. This means that it cannot be F, obtuse. It cannot be A because A scalene triangle is a triangle in which all three sides have different lengths. It cannot be B either because it has 3 sides of equal angles. It cannot be right because non of the angles are 90 degrees. It is equilateral.
Hope this helps.
The value in dollars, f(x), of a certain car after x years is represented by the equation f(x) = 25,000(0.86)^x. To the nearest dollar, how much more is the car worth after 2 years than after 3 years?
a. $18,490
b. $34, 391.40
c. $15,901.40
d. $2,588.60
Answer:
588.6
Step-by-step explanation:
Multiply
0
by
0.86
x
.
f
(
x
)
,
x
y
e
a
r
s
,
f
(
x
)
=
25
,
0
,
2
y
e
a
r
s
,
3
y
e
a
r
s
,
a
,
18
,
490
,
b
,
34
,
391.4
,
c
,
15
,
901.4
,
d
,
2
,
588.6
The quotient of a number and twelve is the sum of eight and the number.
Answer: n/12=8+n
Answer:
Step-by-step explanation:
12(n/12 = 8 + n)
n = 96 + 12n
-11n = 96
n = -96/11
Answer:
-96/11 or -8 8/11
Step-by-step explanation:
For this, create an equation, x/12=x+8.
Any number without a denominator has a denominator of 1, so x/12=(x+8)/1.
Now, cross multiply to get 1*x=12(x+8).
Simplify that to x=12x+96.
Subtract 12x from both sides, and you have -11x=96.
Divide by -11, and x=-96/11.
Ramon earns $1,865 each month and pays $53.50 on electricity. To the nearest tenth of a percent, what percent of Ramon's are spent on electricity each month?
PLEASE PLEASE HELPP PLEASEEEEEE I WILL MARK BRAINLIEST
Answer:
roughly 3%
Step-by-step explanation:
Answer:
about 34.9%
Step-by-step explanation:
I could be wrong on this, but by multiplying his profit per month by 12, and his electricity cost by 12, then you get his yearly profit and cost of electricity. Then, you divide the profit by electricity and wa la you get 34.9%.
PLZ mark me brainliest!!!! :)))))
The band boosters sell snickers bars for 75¢ each. Which of the following statements are true? Select all that apply.
A. If Tom spent $6.00 on snickers bars, he bought 9.
B. When the band boosters sell 10 snickers bars they make $7.50.
C. For every 4 snickers bars sold the band boosters earn $3.00.
D. If Tom bought 6 snickers bars, he paid $3.50. E. 75¢ is the unit price for a snickers bar.
Answer:
B, C, and E
Step-by-step explanation:
B because 0.75*10=7.5. C because 4*0.75=3. And E because 0.75 is how much each snickers bar is is that is the unit price
The equation p = 3.25b can be used to find the price, p, in dollars, of b pounds of blueberries at a particular supermarket. Each of the tables gives the prices of various pounds of blueberries at a different supermarket. Which of these tables represents blueberries that are more expensive than those represented by the equation? Select all that apply.
Answer:
Table C, Table D, Table E
Step-by-step explanation:
See attachment for tables
Given
[tex]p = 3.25b[/tex]
Required
Which of the tables is more expensive than the given function
To answer this question, we simply determine the equation of each table and then compare the equation with [tex]p = 3.25b[/tex]
Table A:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (1,2.75)[/tex]
[tex](b_2,p_2) = (4,11)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{11 - 2.75}{4 - 1}[/tex]
[tex]m = \frac{8.25}{3}[/tex]
[tex]m = 2.75[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 2.75 = 2.75(b-1)[/tex]
[tex]p - 2.75 = 2.75b-2.75[/tex]
[tex]p = 2.75b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]2.75 < 3.25[/tex]
Hence:
This equation is less expensive than [tex]p = 3.25b[/tex]
Table B:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (1.5,3.75)[/tex]
[tex](b_2,p_2) = (6,15)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{15 - 3.75}{6 - 1.5}[/tex]
[tex]m = \frac{11.25}{4.5}[/tex]
[tex]m = 2.5[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 3.75 = 2.5(b-1.5)[/tex]
[tex]p - 3.75 = 2.5b- 3.75[/tex]
[tex]p = 2.5b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]2.5 < 3.25[/tex]
Hence:
This equation is also less expensive than [tex]p = 3.25b[/tex]
Table C:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (2,7)[/tex]
[tex](b_2,p_2) = (4,14)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{14 - 7}{4 - 2}[/tex]
[tex]m = \frac{7}{2}[/tex]
[tex]m = 3.5[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 7 = 3.5(b - 2)[/tex]
[tex]p - 7 = 3.5b - 7[/tex]
[tex]p = 3.5b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]3.5 > 3.25[/tex]
Hence:
This equation is more expensive than [tex]p = 3.25b[/tex]
Table D:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (2.5,10)[/tex]
[tex](b_2,p_2) = (5,20)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{20 - 10}{5 - 2.5}[/tex]
[tex]m = \frac{10}{2.5}[/tex]
[tex]m = 4[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 10 = 4(b - 2.5)[/tex]
[tex]p - 10 = 4b - 10[/tex]
[tex]p = 4b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]4 > 3.25[/tex]
Hence:
This equation is more expensive than [tex]p = 3.25b[/tex]
Table E:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (6, 22.5)[/tex]
[tex](b_2,p_2) = (12,45)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{45 - 22.5}{12 - 6}[/tex]
[tex]m = \frac{22.5}{6}[/tex]
[tex]m = 3.75[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 22.5 = 3.75(b - 6)[/tex]
[tex]p - 22.5 = 3.75b - 22.5[/tex]
[tex]p = 3.75b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]3.75>3.25[/tex]
Hence:
This equation is more expensive than [tex]p = 3.25b[/tex]
Table F:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (7, 21)[/tex]
[tex](b_2,p_2) = (14,42)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{42 - 21}{14 - 7}[/tex]
[tex]m = \frac{21}{7}[/tex]
[tex]m = 3[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p -21 =3(b -7)[/tex]
[tex]p -21 =3b -21[/tex]
[tex]p = 3b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]3 < 3.25[/tex]
Hence:
This equation is less expensive than [tex]p = 3.25b[/tex]
How many solutions does the following equation have? 3(y + 9) = 12y+ 13
Answer:
asddsdaddd
Step-by-step explanation:
Simplify 2x+3y^2-2(x-Y)
y^2, 2y^2, 4y^2, or 5y^2
Answer:
3y^2+2y
Step-by-step explanation:
(Will mark brainliest if you’re right)
How are linear inequalities used for financial analyst? Written in a Paragraph
Answer:
It allows you to find the slope of the gross income that you are earning. Linear inequalities show how much money you earn from the maximum to the potential minimum. Linear lines are straight so they show the average or the best fit of your financial status.
Step-by-step explanation:
Hope this helps!
I need help please.................................
Answer:
The answer is in the photo.
[tex]74 \times 54 + 7 \div 20[/tex]
slove this?
