Answer: y = -2x + 5
Step-by-step explanation:
y = -2x + 5
slope = -2
Slope intercept form of equation of line is given by y = mx + c
where m is the slope of line
c is the y intercept i.e point where given line intersect y axis.
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given equation 4x + 2y = 10
we have to re-write this equation in form y = mx + c
4x + 2y = 10
subtraction 4x from LHS and RHS
4x + 2y - 4x= 10 - 4x
2y = 10- 4x
we have to eliminate 2 from y for that we
divide LHS and RHS by 2 we
2y /2 = 10/2- 4x/2
y = 5 - 2x
rearranging it in y = mx+c form
y = -2x + 5
thus, m = -2 , c = 5
Answer:
y=-2x+5, slope= -2, y-intercept= 5 (so, first option)
Step-by-step explanation:
y=mx+b. m is the slope, and b is the y-intercept. to get the equation to the slope intercept form, you get y by itself- subtract 4x from both sides and then divide by 2 on both sides.
Ronin kicks a ball over the gate of the first floor balcony. The function h(t)=-36t^2+288t+9 can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet 1. Find the time in Devon which the ball reaches it maximum height
Answer: 4 seconds
Step-by-step explanation:
Given: The function [tex]h(t)=-36t^2+288t+9[/tex] can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet.
Differentiate the given function with respect to t , we get
[tex]h'(t)=-36(2)t+288=-72t+288[/tex]
Put h'(t)=0
[tex]\Rightarrow\ -72t+288=0\Rightarrow\ t=\dfrac{288}{72}\\\\\Rightarrow\ t=4[/tex]
Also, [tex]h''(t)=-72<0[/tex]
By second derivative test, h(t) is maximum at t=4.
Hence, the time in Devon which the ball reaches it maximum height = 4 seconds
Jacob and Melissa both collect baseball cards. Let J represent the number of cards that Jacob has. Melissa has 5 fewer cards than Jacob. Write an expression that shows how many cards they have together.
Answer: 2J - 5
Step-by-step explanation:
The number of cards that Jacob has = J
Melissa has 5 fewer cards than Jacob. Melissa card will be: = J - 5
The expression that shows the number of cards they have together will be gotten by adding their cards together. This will be:
= J + (J - 5)
= J + J - 5
= 2J - 5
The slope of y= 1/2x-7 is___
Answer:
A. Always positive
Step-by-step explanation:
Answer:
The slope of y= 1/2x-7 is always positive.
Step-by-step explanation:
[tex]y = mx + c \\ y = \frac{1}{2} x - 7 \\ \boxed{slope = \frac{1}{2}} \: which \: is \:always \: positive.[/tex]
The length of the base of an isosceles triangle is x. The length of a leg is 2x - 4. The perimeter of the triangle is 47. Find x.
Answer:
x = 11
Step-by-step explanation:
Remark
There are two legs. They are equal.
Equation
2x - 4 + 2x - 4 +x = 47 Combine like terms
Solution
5x - 8 = 47
5x - 8+8 = 47 + 8
5x = 55 Divide by 5
x = 11
help me please!!! will give brainliest!!
Answer:
what questions you need answers?
PLEASE HELP ITS ABOUT TO BE DUE
When the value of y = -2, what is the solution to the equation 4(x - 3y) = 6(x - 3y)?
Answer:
x=-1
Step-by-step explanation:
4(x-3(-2))=6(x-3(-2)) => 4(x+6)=6(x+6) => 4x+24=6x+26 => -2=2x => x=-1
1/5+2/5+3/5 Its for my I ready because I'm too lazy to pay attention
Answer:
6/5 1.2 1 1/5
Step-by-step explanation:
1+2+3=6
You do not change the denominator while adding fraction so it remains the same at 5
Need help please not sure
Answer: #3
Step-by-step explanation:
John picks 6 pounds of strawberries. He wants to give 1/3 pound to his friends. How many friends can he give strawberries to?
Answer:
18 friends
Step-by-step explanation:
A tree cast a 16 foot long shadow on level ground a forestry student uses a clinometer to determine the sun is that a 70° angle of elevation what is the height of the tree to the nearest whole foot
Answer:
15foot
Step-by-step explanation:
The set up will give a right angled triangle.
The length of the shadow will be the hypotenuse = 16foot
The height of the tree will be the opposite = x
The angle of elevation = 70°
Using the SOH CAH TOA trig identity
Sin theta = opposite/hypotenuse
Sin 70 = x/16
x=16sin70
x = 15.04feet
Hence the height of the tree to the nearest whole foot is 15foot
A washer and dryer cost a total of $960. The cost of the washer is three times the cost of the dryer. Find the cost of each item.
Cost of washer:
Cost of dryer:
Cost of washer: $720
Cost of dryer: $240
I've taken this test before and got it right, so you're good :)
Anyone know the answer ?
Answer:
74 is the answer
Step-by-step explanation:
64+42=106
180-106=74
hope this helped!
Answer: 74°
42+64=106
180-106=74
I hope this helps :
Right answer gets brainlist
Answer:
The volume of the cone = 101 cubic inches.
Step-by-step explanation:
Given
Radius of the cone = r = 4 in
Height h of the cone = h = 6 in
To determine
The volume in cubic inches rounded to the nearest whole number.
Using the formula to determine the volume of the cone
V = πr²h/3
substitute r = 4, h = 6, and π = 3.142 in the formula
V = (3.142) (4)²(6) / 3
V = (3.142) (4)² (2)
V = (3.142) (16) (2)
V = (3.142) (32)
V = 100.544
V ≈ 101 cubuc inches (rounded to the nearest whole number)
Therefore, the volume of the cone = 101 cubic inches.
Which equation has only 7 as a possible
value of x.
A. x = 343
B. X'= 21
C. x² = 343
D. x² = 21
Answer:
x³ = 343, if x = 7
Step-by-step explanation:
If x = 7, then:
x² = 49x = 7x³ = 343HOPE THIS HELPS YOU
Follw me = 10 thanks
Mark as brainliest = 10 thanks
1 thanks to me = 2 thanks
The cell phone plan for a company D is $10 per month plus $15 per gigabyte for data
used.
The monthly cost of thȚs option can be represented by function D, defined by:
D(x) = 153 + 10, where I is the gigabytes of data used over the monthly allowance.
Find D (2) =?. Please help
Question 2
1 pts
Answer:
the answer is 599
Step-by-step explanation:
85 : 45 = 170 : x
Answer to get the answer for x
x=9/34 that's the answer
15)
You are asked to solve -10% +15 < -2x - 9. Which three statements are true?
A)
x > 3
B)
X<2
2 is a solution
D)
-8x < -24
3 is not a solution.
Answer:
A, x>3
Step-by-step explanation:
You solve the equation as normal by crossing out both sides and getting what equals to x, but since you divided by a negative the sign flips and you are left with your answer. Hope this helps!
14a + 8
Factor the Algebraic Expression
Answer:
Step-by-step explanation:
2 is the largest shared factor. Thus, the given 14a + 8 = 2(7a + 4).
help math pls due in 5 min
Please PLEASE HELPPP!!!!!!
Answer:
5/2
Step-by-step explanation:
10 multiplied by 5/2 gives us 25, so the scale factor is 5/2.
A movie theater decreased the size of its popcorn bags by 20%. If the new bags hold 12 cups of popcorn, how much did the original bags hold? Nasser used the equation 0.20x = 12 Abraham used the equation 0.80x = 12 Kathleen used the equation 1.20x = 12 Decide who used the correct equation and defend your reasoning.
Answer:
Abraham
Step-by-step explanation:
Abraham used the correct equation because if we represent the original size as 100% and decrease that by 20 it would be 80% or 0.8
Nasser's equation will solve for the change in price
Kathleen's equation solves for if the popcorn size was increased by 20%
Answer:
nasser
Step-by-step explanation:
0.20 = 20/100=20%
What is the following sum? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0
Answer:
[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}[/tex]
Hence, ption B is true.
Step-by-step explanation:
Given the expression
[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}[/tex]
solving the expression
[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}[/tex]
as
[tex]\sqrt{x^2y^3}=xy\sqrt{y}[/tex]
[tex]2\sqrt{x^3y^4}=2xy^2\sqrt{x}[/tex]
so the expression becomes
[tex]\:\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=xy\sqrt{y}+2xy^2\sqrt{x}+xy\sqrt{y}[/tex]
Group like terms
[tex]=2xy^2\sqrt{x}+xy\sqrt{y}+xy\sqrt{y}[/tex]
Add similar elements
[tex]=2xy^2\sqrt{x}+2xy\sqrt{y}[/tex]
Therefore, we conclude that:
[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}[/tex]
Hence, option B is true.
Answer:
b
Step-by-step explanation:
Calculate the slope between (-3,1) and (6,13)
Answer:
4 / 3
Step-by-step explanation:
slope formula: (y2 - y1) / (x2 - x1)
(13 - 1) / (6 + 3)
12 / 9
4 / 3
1.
x + y = 2
x - y = 4
Please help
Answer:
Step-by-step explanation:
Solve the system of equations by the addition method.
5x + 2y = 1
2x - 2y = -8
Answer:
(-1, 3)
Step-by-step explanation:
5x + 2y = 1
+
2x - 2y = -8
7x = -7
x= -1
2(-1) - 2y = -8
-2 - 2y = -8
-2y = -6
y = 3
Help please I’m confused?? I
Answer:
A
Step-by-step explanation:
The function can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams (to two decimals) will be present after
Answer: 0.09 mg
Step-by-step explanation:
To find out the milligrams in the blood after 10 hours you just need to replace the 'h' in the equation to 10.
= 5e⁻⁰°⁴ˣ¹⁰
= 5e⁻⁴
= 0.09157819444
= 0.09 mg
Question 7 of 10
VA
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
4x - 2y=7
3x – 3y = 15
Answer:
Multiply the top equation by -3 and the bottom equation by 2.
you put $1,200. in a savings account for four years at 5.6%. what is the total amount in the account after the four years
Answer:
you would have 1,194.4
Step-by-step explanation:
i subtracted.
Round 6.13 to one decimal place.
Answer:
6.1
Step-by-step explanation:
because the 3 is below 5 so it sticks to 1