Answer:
y=2x+3
Step-by-step explanation:
Hi there!
We want to write the equation of the line
We are given that the y-intercept of the line is (0,3) and that the line also goes through the point (2,7)
There are many ways to write the equation of the line, but the most common way is slope-intercept form, which is given as y=mx+b, where m is the slope and b is the y intercept
The value of b is actually the value of y in the point making point of the y intercept
In this case, that point would be 3
So the value of b in this case is 3
Substitute 3 as b into the equation:
y=mx+3
Now we need to find m
As the equation passes through the point (2,7), we can use it to help solve for the value of m
Substitute 2 as x and 7 as y into the equation:
7=2m+3
Subtract 3 from both sides
4=2m
Divide both sides by 2
m=2
Substitute 2 as m into the equation:
y=2x+3
Hope this helps!
Take a look here if you wish to have a similar problem for practice (n.b., the solution uses a different method than the one shown here): https://brainly.com/question/7457022
Theo saved $20 of his allowance money to buy art supplies. He bought a box of oil pastels for $6.20 and then spent ⅓ of the remaining money on new paintbrushes.
How much money did Theo have remaining/left after buying oil pastels?
Answer:
$13.80
Step-by-step explanation:
if it's only asking how much he had after buying the oil pastels, it's just 20-6.20 which is 13.80
soit f la fonction qui a x associe le nombre 3x-1. La valeur de f(4+1) est ?
Jangan Mencoba Menikamku Dari Benakmu
Tesa and Vivienne share £96 in the ratio 5:3. How much does Tesa receive?
Answer:
Tessa receives £60
Step-by-step explanation:
The ratio is 5:3 so 5+3=8 which is then what you use to divide 96
96/8=12
12x5(the 5 comes from the ratio for Tess) is 60 therefore she receives £60
Answer:
60£Step-by-step explanation:
Tesa and Vivienne share £96 in the ratio 5:3. How much does Tesa receive?
96 : (5 + 3) = 12
12 * 5 = 60
I need help with this question quick :,) please answer lol
Answer:
y=6x-4
Step-by-step explanation:
First find the slope using the coordinates of (-1,-10) which will be your first pair x1 and y1. And (3,14) will be x2 and y2. To find the slope use this formula: m= y2-y1/x2-x1
Put the numbers of the coordinates in the formula and you get a fraction of
24/4 = 6 this is the slope
m=6
Then to find the y-int
Pick a coordinate they both will give the same answer. Put it into the point slope formula: y-y1=m(x-x1)
Only use y1, x1, and m which is 6 And solve
y-14=6(x-3) distribute the 6 this gives you
y-14=6x-18 to get y by itself, ADD 14 to both sides of the equal sign
Leaving you with y=6x-4
Write the equation of the line that has a slope of 3/4 and yintercept of -7
Answer:
y= 3/4x -7
Step-by-step explanation:
equation of a line
y= mx+b
the slope is m
and the y intercept is b
in this case it would be
y= 3/4x -7
Answer:
Step-by-step explanation:
y = mx + b
y = 3/4x - 7
Hope this helps!
What is the common ratio of the
geometric sequence? 1,2,4,8
Answer:
r = 2
Step-by-step explanation:
To find the common ratio (r) of a geometric sequence, simply divide a term by its previous term.
8 ÷ 4 = 2
or, 4 ÷ 2 = 2
or, 2 ÷ 1 = 2
WORK The ecology club is landscaping a local park. Dell can plant a flower bed in 3 hours. Max can plant a flower bed of the same size in 4 hours. a. Using t, time in hours, write an expression representing how many flower beds they will complete in t hours working together.
Step-by-step explanation:
this simply means that Dell can do 1/3 of the work in 1 hour, and Max can do 1/4 of the work in 1 hour.
so, working together, they can complete 1/3 + 1/4 of the work in 1 hour.
to really add these fractions, we need to bring them to the same denominator by finding the smallest (or lowest) common multiple of the existing denominators, which is in this very simple case just 3×4 = 12
1/3 + 1/4 = 4/12 + 3/12 = 7/12
therefore, together they can complete 7/12 of a flower bed in 1 hour.
so, by defining the variable fb as the number of completed flower beds :
fb = 7/12 × t
CAN SOMEBODY PLEASE HELP ME ASAP!!!! will mark brainliest
Tom is making a cover for a box that is 4.5 feet long and 23 inches wide. What will be the area of a cover in square inches?
Answer:
103.5
Step-by-step explanation:
The area is the height times width, and 4.5 times 23 is 103.5.
Find the volume of the sphere.
Either enter an exact answer in terms of 7 or use 3.14 for and round your final answer to the nearest hundredth.
Step-by-step explanation:
vol of sphere =
[tex](4 \div 3) \times {5}^{3} \times \pi[/tex]
523.59 units^3
Answer:
523.33 units³
Explanation:
Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³ - Here the radius is 5 and take π as 3.14.
Using the formula:
[tex]\frac{4}{3}[/tex]πr³ [tex]\frac{4}{3}[/tex](3.14)(5)³523.33 units³ [ rounded to nearest hundredth ]I need help!!!!!!!!!!
Answer:
less
greater
less
greater
Help me
solve this equation pls
x - -4 = -6
Answer:
x= -10
Step-by-step explanation:
[tex]x - ( - 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]
Answer:
[tex]=> \: x = - 10[/tex]
Step-by-step explanation:
=> x - -4 = -6
=> x -( -4 )= -6
=> Collect like terms
=> x = -6 -4
[tex]=> \: x = - 10[/tex]
reply asap!! will give brainliest if i can
Answer:
-1/2d + f
Step-by-step explanation:
cmon fam I know you know how to do this just find the least common denominator and subtract like terms (numbers with the same variable) and then simplify the fractions
y = 2x + 4
6x – 3y = -12
System by substitution 10 points
Answer:
(-2, 0)
Step-by-step explanation:
y = 2x+4
6x - 3y = -12
Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...
2x - y = -4
Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...
2x-3(2x+4)=-4
Distribute the -3
2x-3(2x)-3(4)=-4
2x-6x-12=-4
Combine like terms
-4x-12=-4
Add 12 to both sides
-4x-12+12=-4+12
-4x=8
Divide both sides by -4
x=-2
Plug -2 back in for x to solve for y:
y = 2(-2) + 4
y=-4+4
y=0
(x, y) = (-2, 0)
Answer:
Infinitely many solutions
Step-by-step explanation:
[tex]y=2x+4\\ [2] 6x-3y=-12[/tex] < ------------- Linear equations given
Equations Simplified or Rearranged :
[tex]y - 2x = 4 \\ [2] -3y + 6x = -12[/tex]
Solve by Substitution :
// Solve equation [1] for the variable [tex]y[/tex]
[tex][1] y = 2x + 4[/tex]
// Plug this in for variable[tex]y[/tex] in equation[tex][2][/tex]
[tex][2] -3*(2x+4) + 6x = -12[/tex]
[2] [tex]0 = 0 =>[/tex] Infinitely many solutions
ect the best answer for the question.
What is the slope of a line that passes through (-12,15) and (0,4)?
Answer:
y = -11/12x + 4
Step-by-step explanation:
(-12,15) and (0.4)
4 - 15 = -11
0 -(-12) = 12 (since minus a negative = positive)
-11/12
Then just put the numbers.
15 = -11/12(-12)
15 = 11 + b
4 = b
Additional Information:
Slopes are really fun to do, but they get tricky and confusing. By the way, I am 14 years old and I did slopes, and I'm not the best at this, so I might be wrong. :( Don't hate me.
Answer:
-11/12
Step-by-step explanation:
The slope of the line is the difference in y-values divided by the difference in x-values. It is ...
m = (y2 -y1)/(x2 -x1)
m = (4 -15)/(0 -(-12)) = -11/12
The slope of the line through the given points is -11/12.
A and B can do a task in t hours.A and b can complete the task in t+2 and t+18 hours respectively.Find t
Step-by-step explanation:
A can do 1/(t+2) of the task in 1 hour.
B can do 1/(t+18) of the task in 1 hour.
t×1/(t+2) + t×1/(t+18) = t/t = 1 (the full task is done)
t + t×(t+2)/(t+18) = t+2
t×(t+18) + t×(t+2) = (t+2)(t+18)
t² + 18t + t² + 2t = t² + 20t + 36
2t² + 20t = t² + 20t + 36
2t² = t² + 36
t² = 36
t = 6
write 0.44320 in standard form?
Answer:
4.432 * 10^-1
Step-by-step explanation:
move your decimal so that you have less than 10 before the decimal.
Then count the number of spaces moved (1) and put that in the 10^x (10^-1)
Answer:
[tex]4.432 \times {10}^{ - 1} \\ [/tex]g(t)-3t-5;Findg(-9) of you could show the steps to solve.
Step-by-step explanation:
Substitute t = -9:
[tex]g( - 9) = 3( - 9) - 5[/tex]
Solve:
[tex]g( - 9) = - 27 - 5[/tex]
[tex]g( - 9) = - 32[/tex]
What is the image of the point (-4,7) after a rotation of 180° counterclockwise
about the origin?
(-4,7) 180 counterclockwise is
(4,-7)
Find GCF of 28y^5, and 6300x
If the 0 in the numeral 60428 is changed to 6 , by how much is the new number greater?
I think it should be 6000 more! If not im so sorry!! Have a nice day!!
a car of mass 1000kg traveling at a speed of 108km/hr a long a level road is brought to stop in a distance of 70m. what was the coefficient of friction
Answer:
Step-by-step explanation: a car of mass 1000kg traveling at a speed of 108km/hour a long a level road is brought to stop in a distance of 70m. what was the coefficient of friction Gradyn is waiting for your help. Add your answer and earn points.
what is the solution to 2h + 8 > 3h - 6
Answer: H<14
Expelnation:2
h
+
8
>
3
h
−
6
8
>
h
−
6
(subtract
2
h
from both sides)
14
>
h
(add
6
to both sides)
or
h
<
14
Find the length of the third side if necessary write in simplest radical form
a^2 + b^2 = c^2
c is the hypotenuse of the right triangle.
answer: 6
-3х + 2 = 2х - 8
Solve for X
Answer:
x=2
Step-by-step explanation:
you would add -3x on both sides, then that cancels out, and then the equation would be 2=5x-8. Then you would add 8 to both sides then it would be 10=5x. Then you would divide 5 by both sides, then it will be x=2.
I NEED ALL 3 ASAP IT CLOSES SOON
Answer:
Slope is (-9/3 or) -3
Y-intercept is 4
Equation is y = - 3x + 4
Hope this helps!
A car travels 10 km southeast and
then 15 km in a direction 60° north of
east. Find the magnitude of the car's
resultant vector.
[?] km
Round to the nearest tenth.
[tex]\bold{\huge{\green{\underline{Solution}}}}[/tex]
A car travels 10 km southeast and then 15 km in a direction 60° north of east[tex]\bold{\underline{ To\: Find }}[/tex]
We have to find the magnitude of the car of resultant vector[tex]\bold{\underline{ Let's \: Begin }}[/tex]
Here,
In South east, car travels = 10kmIn North of east, it travels = 15kmAngle between south east and north east is 60°Therefore,
According to parallelogram law of resultant vector
If two vectors are represented by two adjacent sides of a parallelogram drawn from a point , the their resultant is equal to the diagonal of the parallelogram.
That is,
[tex]\sf{ R = AC^{2}= A^{2}+ B^{2}}[/tex]
But, we have to calculate the magnitude of the resultant vector
[tex]\sf{ | R |= √A^{2}+ B^{2}+ 2ABCos{\theta} }[/tex]
Subsitute the required values,
[tex]\sf{ | R |=\sqrt{ (10)^{2} + (15)^{2} + 2× 10 × 15 × cos 60{\degree}}}[/tex]
[tex]\sf{ | R | =\sqrt{ 100 + 225 + 20 × 15 × 1/2}}[/tex]
[tex]\sf{ | R | = \sqrt{100 + 225 + 10 × 15 }}[/tex]
[tex]\sf{ | R | = \sqrt{335 + 150 }}[/tex]
[tex]\sf{ | R | = \sqrt{485 }}[/tex]
[tex]\sf{\red{ | R | = 22.02 \: km}}[/tex]
Hence, The magnitude of the car resultant vector is 22.02 km.
Can y’all please help me with this question . I need the answer ASAP!!
Answer: This is the answer to your equation sorry I had to do It on a doc
Answer:
-4
-4
1
-8
1
Step-by-step explanation:
[tex]x^2-4x-8=0[/tex]
Comparing [tex]ax^2+bx+c=0[/tex]
⇒ a = 1, b = -4 and c = -8
Substituting these values into the quadratic formula:
[tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-8)} }{2(1)}[/tex]
(The numbers you need to fill in the blanks are in bracket)
A spinner has five section labeled ABC D & E the spinner is spun 45 times in there so I recorded in the table what is the experimental probability of the spinner landing on see round to the nearest percent and if necessary
Answer:
It'll be 18% to the nearest percent
Step-by-step explanation:
2/5 × 45 = 18
Answer:
The answer is 18%
Step-by-step explanation:
The formula to find experimental probability is number of favorable outcomes/total number of trails. Our favorable outcome here is C ( the outcome we want), and it occurs 8 times. The spinner is spun 45 times so there are 45 trials. This means we get 8/45. 8 divided by 45 equals 0.177777778. When rounded up equals 0.18=18%.
Hope this helps for you K12 math test.
8) Which equation represents the relationship between b and c?
A) C = 70b
B) C = b + 70
C) c = 140b
D) C = b + 140
Answer:
C=70b
Step-by-step explanation:
multiply each number in b by 70 to get the correct answer of c
Fill in the blank with the correct response.
Twenty-seven is 25% of _____?
Twenty-seven is 25% of 108