A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?
Answer:
y = 10/9x + 9
Step-by-step explanation:
To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).
Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
Let (x1, y1) = (0, 9)
and (x2, y2) = (9, 19)
Substitute these values on the formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}[/tex]
Therefore, the slope (m ) = 10/9.
Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b ). It is also the value of the y when x = 0.
One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.
Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9
An arts academy requires there to be 5 teachers for every 115 students and 3 tutors for every . How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 77 students ?
Answer:
1.23
2. Question incomplete
3. Needs Question 2 to Answer
Step-by-step explanation:
1. 115÷5=23
Cómo se resuelve paso a paso?
2x+3=18
=>2x+3=18
=>2x=18-3
=>2x=15
=>x=15/2
The owner of an organic food store would like to analyze the sales data to determine if the business is growing, declining or remaining flat. The owner has the following data: Sales Revenue Last Year = $350,000 // Sales Revenue Current Year = $402,000. What is the sales growth? Question 3 options: 10% 17% 13% 15%
The percentage sales growth recorded by the food store is 15%
Given the Parameters :
Last year revenue = $350,000Current year revenue = $402,000The growth sales can be obtained using the relation :
Change in revenue / Last year revenue) × 100%Change in revenue = Current year - Last yearChange in revenue = $402,200 - $350,000 = $52,200Hence, percentage sales growth :
(52,200 / 350,000) × 100% = 14.914 %Therefore, the percentage sales growth is 15%.
Learn more :https://brainly.com/question/13218948
Answer: 15%
Step-by-step explanation:
PLEASE ANSWER FAST
Type the correct answer in the box. Use numerals instead of words.
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is
Answer:
y-intercept is -18
Step-by-step explanation:
The total y=mx+b equation is y=4x-18, you can check in a calculator. I checked on a graphing calculator, and solved it via graphing on a piece of paper.
A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is -18.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
A line that passes through the point (x, y), with a y-intercept of b and a slope of m, can be represented by the equation,
y = mx + b.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = 4 (given)
So, the equation of the line is,
y - y₁ = m(x - x₁) equation 1
And here
x₁ = 3 and y₁ = -6.
Substituting the values to the equation 1,
y - (-6) = 4 (x - 3)
y+6 = 4x -12
y = 4x -18.
Comparing with the slope-intercept form,
we get y-intercept b = -18
Therefore, the equation is y = 4x -18 and y -intercept of the equation is -18
To learn more about the slope;
brainly.com/question/3605446
#SPJ2
Someone plz help me :(
Answer:
b
Step-by-step explanation:
i think it is b good luck
Answer:
The answer is D
Step-by-step explanation:
Hope it helps. Pls mark brainliest if it does
Rewrite the following mixed number as a decimal.
17 37/50
PLEASE HELP ME!
Explain what the algebraic solution of a system of two linear equations is and what that means in terms of the graphs of the equations of the system. Use AT LEAST 2 complete sentence in
your explanation. (3 points)
which type of agency is responsible for maintaining public lands held in trust
Answer:
resource management agency
Step-by-step explanation:
Help I’ll mark as brainliest pls!!
Answer: y = 2 (x+4)
Tim = alice + 4
Bob = tim x 2
Alice = x
y = 2 (x+4)
Bob (y), Alice (x), tim (x+4)
||BRAINLIEST 10 POINTS||
Write 1/4 on the number line.
Answer:
Step-by-step explanation:
Answer:
We have to represent 1/4 in the number line .
So simply will first write it in Fraction form that is
So we have to represent it on number line .
1/4 we have to mark on the right side of number line because it is a positive number having no negative number . That is why we will mark it on the right side of the number line .
As we know the denominator is 4 so between every number we will keep four points distance.
After the zero the first point is number 1 and number 2 and number 3 and so on ...
The four points will consider number 1 , 2 , 3 , 4 and so on ...number after four points I have written 1 because there is the denominator 4 so we should keep 4 points distance in each number .
So , The number 1 we will mark and write the denominator 4
(You can see the number line from the attachment for better understanding)
20.35 - 08.57 - 09.99
Answer: 1 .79
Step-by-step explanation:
Own made 60% of the shots he attempted during his hockey practice he made 18 shots . How many shots did owen attempt during his hockey practice
Answer:
come on the answer is 30 lol.
Step-by-step explanation:
15 x 15 x 15 x 15 = 15E The raised letter E stands for an exponent
Answer:
15e4
Step-by-step explanation:
I can not raise the exponent but there is 4, 15 being multiplied together and all you do is add how many of the same numbers are being multiplied together.
Write the expression for each sentence below. Will give brainlist
1. the sum of 6 and t = 6+ t
2. the product of s and 12
3. the difference of 6 from 10
4. the quotient of 6 divided by t
5. 17 less than 20
6. increase s by 2s
7. decrease 10 by r
8. add 7 times x and 4 times s
9. the quotient of 17 minus 12 and 2
10. the product of 2 and x less 10
11. the product of 7 and 2 divided by 2
12. decrease the product of 8 and 6 by a number
Answer:
1.6t
2.12s
3.4
4.6
5.yes
6.2ss
7.10
8.x×x×x×x×x×x×x=×7
s×s×s×s=×4
9.-7
10.no
11.7
12.8×6=48
Please help quick! Find the length of the third side. If necessary, write in simplest radical form.
th answer is srqt(65) srqt)65)
A whale can swim at a speed of 500 m/min. How far does it swim in 1 hour?
Answer:
30000 metres or 30 kilometers (km)
hope this helps
Answer:
30,000 m or 30 km
Step-by-step explanation:
please give me brainliest
5 divided by 29.95 show work please
Answer:
5.99
Step-by-step explanation:
Do the division by doing:
0 5. 9 9 0
---------------------------------
5 | 2 9. 9 5 0
− 0
2 9
− 2 5
4 9
− 4 5
4 5
− 4 5
0 0
− 0
0
(cos2x-1). sin 3x = 0
please give Brainly points!!
What is the answer to -3( x - 1) + 8( x - 3)= 6x + 7 - 5x
Answer:7
Step-by-step explanation:
support a boogie
Answer:
7
Step-by-step explanation:
given m || n, calculate the value of x
Answer: x = 41
Step-by-step explanation:
4x - 68 = 2x + 14 [since alternate interior angles are equal]
4x - 2x = 14 + 68
2x = 82
x = 41
Answer:
x=41
Step-by-step explanation:
this problem can be solved using the alternate interior angles converse theorem, which states that if two coplanar lines are cut by a transversal so that a pair of alternate inerior angles are congruent, then the two lines are parallel.
4x-68=2x+14
2x-68=14 <- subtract 2x from both sides
2x=82 <- add 68 to both sides
x=41 <- divide both sides by 2
check:
4(41)-68=96
2(41)+14=96
5 right triangles are shown. Triangles 1, 2 and 4 have identical side lengths and angle measures. Triangle 4 is shifted down and to the right of triangle 1. Triangle 2 is rotated 180 degrees from triangle 1. Triangle 3 has a shorter base length measurement. Triangle 5 is larger than triangle 1.
Which figure is a translation of figure 1?
Figure
4
Answer:
DILATION
Step-by-step explanation:
5 right triangles are shown. Triangles 1, 2 and 4 have identical side lengths and angle measures. Triangle 4 is
Answer: 4
Step-by-step explanation: i hope this helps :)
what area of a rectangular cloth is (x²+7xy +12y²)m². Find the length and the width of the rectangular cloth
please help me
[tex]( {x}^{2} + 7xy + 12 {y}^{2} ) {m}^{2} [/tex]
Express the following in simplest a + bi form.
root 9+ root -36
A. -9i
B. 3-6i
C. 3+6i
D. 9i
ANSWER C
Answer:
there is no real solution
Step-by-step explanation:
There is no number that, when squared, produces a negative value. A negative multiplied by a negative gives a positive, and a positive times a positive gives a positive. You can however have a ± symbol to indicate that the root of 36 could be either positive or negative
The height, h, in feet of a ball above the ground is given by h= -16t^2+64t+80, where t is the time in seconds. How long does it take the ball to hit the ground?
A) 3 seconds
B) 4 seconds
C) 5 seconds
D) 6 seconds
Answer:
It is 5 seconds option C
Step-by-step explanation:
When the ball would hit the ground, h would reduce 0.
We can equate the R.H.S to 0.
∴ 0= -16t²+64t+80
0 = t² - 4t - 5 (dividing both sides by -16)
0 = t²+t - 5t -5 (by splitting the middle term)
0 = t ( t+1) -5 (t+1)
0= (t-5) * (t + 1)
when t-5=0 ; when t+1=0
t =5 ; t= -1 time cannot be -ve
∴ t= 5 seconds
Hope this helps you.
Answer:
C) 5 seconds
Step-by-step explanation:
Given equation:
[tex]h=-16t^2+64t+80[/tex]
where:
h = height of a ball above the ground (in feet).t = time (in seconds).The ball hits the ground when the height is zero.
Therefore, substitute h = 0 into the given equation and solve for t.
[tex]\begin{aligned}\implies -16t^2+64t+80 & = 0\\-16(t^2-4t-5) & = 0\\t^2-4t-5 & = 0\\t^2-5t+t-5&=0\\t(t-5)+1(t-5)&=0\\(t+1)(t-5)&=0\\\end{aligned}[/tex]
Apply the zero-product property:
[tex]\implies t+1=0 \implies t=-1[/tex]
[tex]\implies t-5=0 \implies t=5[/tex]
As time cannot be negative, t = 5 only.
Therefore, it takes 5 seconds for the ball to hit the ground.
solve the inequality. -11x - 9 < 24
Answer:
x>-3
Step-by-step explanation:
-11x-9<24
+9 +9
-11x<33
/11 /11
-x<3
x>-3
lets check
-11(-2)-9<24
22-9<24
13<24
correct :D
Answer:
x > − 3 OR (-3,∞)
Step-by-step explanation:
What is 49.5x divided by 88
Answer:
0.5625
Step-by-step explanation:
Chloe works in a department store selling clothing. She makes a guaranteed salary of $250 per week, but is paid a commision on top of her base salary equal to 10% of her total sales for the week. How much would Chloe make in a week in which she made $975 in sales? How much would Chloe make in a week if she made xx dollars in sales?
Answer:
See Below
Step-by-step explanation:
Making $250/week in salary and 10% of the $975 in sales.
First find what 10% of $975 equals. The decimal equivalent of 10% is 0.10
So multiply the decimal and total sales.
0.10 x 975 = 97.5
Her weekly salary plus the commission would be:
$250 + $97.50 = 347.50
If you don't know her sales for the week, you can use X to represent the sales. The equation would be:
0.10x + 250 = y where y is her total pay.
60 tenths as a decimal
Answer:
6
Step-by-step explanation:
60 tenths :
60*1/10 = 6
Answer:
6
Step-by-step explanation:
If you divide 60 by 10, you will get 6.
Think like this...
10 tenths = 1
20 tenths = 2
If you get all the way to 6, you'll get 6.
-kiniwih426
Write an equation in the slope-intercept form of the line.