Answer:
Substitute y=x-1 for y in the first equation to get -4x+3(x-1)=-2
-4x+3x-3=-2
-x-3=-2
-x=1
x=-1
Step-by-step explanation:
Answer:
x = -1
y = -2
Step-by-step explanation:
If you look at the second equation, y is already isolated for us:
y = x - 1
so all we need to do is plug in the value for y into the first equation:
-4x + 3(x - 1) = -2
Next all we do is algebra:
[distribute] -4x + 3x - 3 = -2
[condense] -1x - 3 = -2
[add] -1x = 1
[divide] x = -1
Now that we have the value of x, we can use it to find y by plugging it in to either equation.
y = x - 1
[plug in] y = -1 - 1
[condense] y = -2
Answers: x = -1, y = -2
Why is there a letter also on Mathematics?
I mean, there is a letter in English...
I don't know why there is a letter like 2x + 19 and x + 23.
It's really frustrating that there's a letter in Mathematics
They can just do "3*4" instead of "x*4 when x=3"
I know... I know... It's a silly question.
Answer:
Not silly, i understand but "x" is supposed to be a subsitute for a number after the many equations youll be learning in algebra. x can be anything, it isnt set to anykind of specifac number but rather an output of an equation. It is fustrating but i reccomend khan acdemy videos or math nation since they specialze in thses kinds of maths
Step-by-step explanation:
help pls 70 points i will mark brainliest
Answer:
B
Step-by-step explanation:
there is a picture on top
Factor 4b2 - 5b - 6.
A) (2b + 3)(2b + 2)
B) (4b + 3)(b - 2)
C) 2(b + 6)(2b - 1)
D) (b - 6)(4b + 1)
Answer:
[tex]4b^2 - 5b - 6 = 4b^2 -8b + 3b - 6 = 4b(b -2 )+3(b-2) = (4b+3)(b-2)[/tex]
option B
The factor form for of given expression is [tex](4b+3)(b-2)[/tex].
What is a method of factorizing?
Quadratic factorization using splitting of middle term : In this method splitting of middle term in to two factors.
What is the factor of given expression?The middle term of the given expression -5b can be split as 3b-8b.
On using this in the given expression we get,
[tex]4b^2-5b-6=4b^2+3b-8b-6[/tex]
Take common factor out from first two and last two terms,
[tex]b(4b+3)-2(4b+3)[/tex]
Take the common factor out.
[tex](4b+3)(b-2)[/tex]
Therefore, the factor form of given expression is [tex](4b+3)(b-2)[/tex].
Learn more:https://brainly.com/question/25829061
#SPJ2
Find volume of the irregular
Shape
9514 1404 393
Answer:
36 cm²
Step-by-step explanation:
This shape can be considered to be a 6 cm by 7 cm rectangle with a 2 cm by 3 cm area cut from the lower right corner. Its area is then ...
area of full rectangle - area of cutout
= (6 cm)(7 cm) -(2 cm)(3 cm)
= 42 cm² -6 cm² = 36 cm² . . . . area of irregular figure
List two pairs of angles in square CDFG that are complementary
Answer:
1st pair: ∠C + ∠M
2nd pair: ∠G + ∠M
Step-by-step explanation:
The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draws a random sample from the following
groups:
• All teachers in the school
• All boys in each grade
• All students in the speech club
• All students in each grade
Which group best represents the population she should take a random sample from to get the best results for her survey?
O All teachers in the school
O All boys in each grade
All students in the speech club
O All students in each grade
Determine the value of a.
Question 10 options:
A)
6
B)
10
C)
70
D)
7
Answer:
The answer is D
Step-by-step explanation:
Jenny cut an apple into eight equal slices. She gave
of the apple to Kendall.
Which shows how much of the apple Jenny has left?
Answer:
what did percent or fraction did she give Kendall?
Step-by-step explanation:
laurette has 126 cards. She buys 6 more packages of cards that each have 7 cards in them. How many cards does laurette have now?
Answer:
168
Step-by-step explanation: 6 times 7 equals 42. Add 42 to 126 and Laurette has a total of 168 cards now.
Change the decimal 5.4 to a percent. [make sure you include the % sign in your answer]
Answer:
5.4 as a percent is 540%
Hope I helped! :)
Answer:
I think the answer is 525%
What is the problem to this one?
Answer:
45
Step-by-step explanation:
HELP I WILL MARK BRAINLIEST
Answer:
308
Step-by-step explanation:
22 x 15.4 = 338.8
338.8 / 1.1 = 308
A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?
Examine the system of equations.
5x + 6y = 32
5x – 6y = 8
Which variable or variables will be eliminated when you add the system of equations?
Which equation results from adding the system of equations?
9514 1404 393
Answer:
y is eliminated10x = 40Step-by-step explanation:
The coefficients of y are opposites. Adding opposites results in a sum of 0. The y-term will be eliminated by adding the equations.
The result of that addition is ...
(5x +6y) +(5x -6y) = (32) +(8)
10x = 40
what is x / 15 equals 5. what is x?
Answer:
x = 75
Step-by-step explanation:
x/15 = 5
Multiply each side by 15
15*x/15 = 5*15
x = 75
Answer:
x = 75
Step-by-step explanation:
Reverse the problem meaning you have to do multiplication
5 times 15 is 75
To check your work divided 75 by 15 and if it equals 5 it is correct
Hope this helped :]
I need this in 1 min
Answer: 12
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
Opps I'm sorry I did that wrong. Im so sorry
please help find the gradient :)
Answer:
gradient m = - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
y = - x - 3 ← is in slope- intercept form
with gradient m = - 1
Answer:
[tex]\rm Slope = -1[/tex]
Step-by-step explanation:
Given :-
A equation of line .[tex]\rm y = -x-3[/tex]And we need to find out the gradient of the line. The gradient of the line is the " slope " of the line. The given equation is in slope Intercept Form , which is ,
Slope intercept form :-
[tex]\rm\implies y = mx + c [/tex]
Where m is the slope of the line and c is y intercept .On comparing it to slope Intercept Form , we have ,[tex]\implies \rm Slope (m) = (-1)[/tex]
Hence the gradient of the line is (-1) .
NO LINKS!!!!!
Disregarding the force of gravity, the maximum velocity v of a rocket is given by v = t ln M, where t is the velocity of the exhaust and M is the ratio of the mass of the rocket with fuel to its mass without fuel. A solid propellant rocket has an exhaust velocity of 2.5 kilometers per second. Find its mass ratio M.
Answer:
look at the photo
Step-by-step explanation:
Disregarding the force of gravity, the maximum velocity v of a rocket is given by v = t ln M, where t is the velocity of the exhaust and M is the ratio of the mass of the rocket with fuel to its mass without fuel. A solid propellant rocket has an exhaust velocity of 2.5 kilometers per second. Find its mass ratio M.
7.5 = 2.5 ln Mln M = 3m = e^3 = 20.08553692Hope it will help you
Your mother has a new cell phone. It comes with 18 apps already installed. She only uses 2/3 of those apps. She downloaded 12 more apps that she uses frequently. Write an equation to represent the total number apps your mom uses.
Answer:
Step-by-step explanation:
The cell phone comes with 18 apps already installed, but she only uses 2/3 of the apps. Therefore, we need to find 2/3 of 18 to find the number of apps she uses. 2/3 * 18 = 12 apps she uses frequently. Outside of that, she downloads 12 more frequently used apps, so you add 12 to 12 to get 24 total apps that she uses.
However, the question asks for the equation to find the answer. So, the equation would be like:
18(2/3) + 12 = x
where x is representing the number of apps she uses.
Please answer the question correctly with factual information for brainliest.
Answer:
8.9
Step-by-step explanation:
[tex]1)\ S = 80 => l = \sqrt{80}[/tex]
[tex]2)\ l = \sqrt{80} = 8.9[/tex]
A company makes fifty-four million, nine hundred twenty thousand, one hundred
two widgets every year. What is this number written in standard form?
A. 54, 920, 102
B. 549, 212
C. 54, 000, 920, 102
D. 504, 920, 102
Which graph represents the solution set of 2x-5<3
Answer:
1
Step-by-step explanation:
2x-5< 3
add 5 to both sides
2x<8
divide 2 for both sides
x<4
graphically, Graph 1 represents this equation where x is anything smaller than 4 but not including 4
Can i get some help solving this problem please. 2x=x-10
Answer:
x=3.33
Step-by-step explanation:
2x=x-10
2x+x=10
3x=10
x= 10/3
x= 3.33
Help PLZZ NO FILES PLZZ
Answer:
5 (B)
Step-by-step explanation:
Find the measure of ∠NED, not ∠CED.
Answer:
[tex] m\angle NED = 100\degree [/tex]
[tex] m\angle CED = 80\degree [/tex]
Step-by-step explanation:
By exterior angle theorem:
(9x - 8)° = (5x - 10)° + 50°
(9x - 8)° = (5x - 10 + 50)°
(9x - 8)° = (5x + 40)°
9x - 8 = 5x + 40
9x - 5x = 40 + 8
4x = 48
x = 48/4
x = 12
(9x - 8)° = (9*12 - 8)° = (108 - 8)° = 100°
[tex] \implies m\angle NED = 100\degree [/tex]
[tex] m\angle CED = 180\degree - 100\degree [/tex] (Linear pair angles)
[tex] \therefore m\angle CED = 80\degree [/tex]
[tex]\huge{ \mathcal{ \underline{ Answer }}}\: ✓ [/tex]
Measure of Exterior Angle of a triangle is equal to the sum of measures of two opposite interior angles .
From above statement we have :
[tex] 9x - 8 = 5x - 10 + 50[/tex][tex]9x - 5 x = 40 + 8[/tex][tex]4x = 48[/tex][tex]x = \dfrac{48}{4} [/tex][tex]x = 12[/tex]_____________________________
[tex] \mathrm{\angle \: NED = 9x - 8}[/tex]
[tex](9 \times 12) - 8[/tex][tex]108 - 8[/tex][tex]100°[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
A triangle has vertices (0, 2), (3, 1), and (6.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth.
Answer:
6 + 2√10 units.
Step-by-step explanation:
We can use the distance formula to find the distance between the points. The points are ,
(0,2)(3,1)(6,2)Distance 1 :-
=> D₁ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₁ = √{ (0-3)² + (2-1)² }
=> D₁ = √{ 3² + 1² }
=> D₁ = √{ 9+1}
=> D₁ = √10
Distance 2:-
=> D₂ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₂ = √{ (6-3)² + (2-1)² }
=> D₂ = √{ 3² + 1² }
=> D₂ = √{ 9 + 1}
=> D₂ = √10
Distance 3 :-
=> D₃ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₃ = √{ (6-0)²+(2-2)²
=> D₃ = √6²
=> D₃ = 6
→ Perimeter = D₁ +D₂ + D₃
→ Perimeter = √10 + √10 + 6
→ Perimeter = 6 + 2√10 units
Hence the perimeter is 6+2√10 units.2) Justin works at supermarket and regularly earns $10.50 per hour. In the past five
days, his time card shows that he worked 5.3, 3.4, 6.0, 5.5, and 5.3 hours. What is his
gross pay?
Help solve this problem pls
Find the equation of the line. Use exact numbers
y= ?x+ ?
Answer:
y=3x+3
Step-by-step explanation:
slope is 3 because rise over run. Rise is 3 and run is 1. 3/1 is 3. and b= y-intercept and the poiunt wehre the line intercepts the y axis is 3. so your answer is y=3x+3
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 3x + 3 ← equation of line
Plz help me well mark brainliest if correct!!..
.
Answer:
70 ft
Step-by-step explanation:
20 + 20 + 15 + 15 = 70