[tex] \begin{cases} y = 4x - 9 \\ y = x - 3 \end{cases}[/tex]
We can combine both equations
[tex]4x - 9 = x - 3[/tex]
Solve the equation.
[tex]4x - x = 9 - 3 \\ 3x = 6 \\ x = \frac{6}{3} \longrightarrow \frac{2}{1} \\ x = 2[/tex]
Then we substitute the value of x in any given equations which I will be substituting in the second equation
[tex]y = x - 3 \\ y = 2 - 3 \\ y = - 1[/tex]
Therefore, from x = 2 and y = -1, the solution is (2,-1)
Answer Check
Substitute the value of x and y in both equations.
First Equatio
[tex]y = 4x - 9 \\ - 1 = 4(2) - 9 \\ - 1 = 8 - 9 \\ - 1 = - 1[/tex]
Second Equation
[tex]y = x - 3 \\ - 1 = 2 - 3 \\ - 1 = - 1[/tex]
Both equations are true for (2,-1).
Answer[tex] \begin{cases} x = 2 \\ y = - 1 \end{cases} \\ \sf \underline{coordinate} \\ (2,-1)[/tex]
Answer:
(2, - 1 )
Step-by-step explanation:
Given the 2 equations
y = 4x - 9 → (1)
y = x - 3 → (2)
Substitute y = 4x - 9 into (2)
4x - 9 = x - 3 ( subtract x from both sides )
3x - 9 = - 3 ( add 9 to both sides )
3x = 6 ( divide both sides by 3 )
x = 2
Substitute x = 2 into either of the 2 equations for corresponding value of y
Substituting into (2)
y = 2 - 3 = - 1
solution is (2, - 1 )
10x + 38
40 + 7x
determine the value of x
Answer:
x= 2/3
Step-by-step explanation:
if they are equating,
10x +38 = 40+7x
10x-7x = 40-38
3x = 2
x= 2/3
Answer:
x = 0.6666666667
Step-by-step explanation:
Simplifying
10x + 38 = 40 + 7x
Reorder the terms:
38 + 10x = 40 + 7x
Solving
38 + 10x = 40 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
38 + 10x + -7x = 40 + 7x + -7x
Combine like terms: 10x + -7x = 3x
38 + 3x = 40 + 7x + -7x
Combine like terms: 7x + -7x = 0
38 + 3x = 40 + 0
38 + 3x = 40
Add '-38' to each side of the equation.
38 + -38 + 3x = 40 + -38
Combine like terms: 38 + -38 = 0
0 + 3x = 40 + -38
3x = 40 + -38
Combine like terms: 40 + -38 = 2
3x = 2
Divide each side by '3'.
x = 0.6666666667
Simplifying
x = 0.6666666667
Help please!
Diana bought a total of 22 items including boxes of pizza and sodas for an upcoming event. Each box of pizza cost $8 and each soda cost $1.50. If Diana spent a total of $137, which of the following is a true statement?
A. Diana bought 16 boxes of pizza.
B. Diana bought more sodas than boxes of pizza.
C. Diana bought 6 boxes of pizza.
D. Diana bought an equal number of sodas and pizzas
Answer:
B. I think
Step-by-step explanation:
1.50 times 86 equals 129 witch would mean Diana bought 86 sodas
8 is equal to 1 pizza so Dianna could have bought 1 pizza
86>1
8+129 is 137 so I think the answer is B.
please look at the image for the question thanks you.
Answer:
100 cal
Step-by-step explanation:
it says 100 calories on the top left
i will mark brain thing help me what is A and B
nicole will rent a car for the weekend. she can choose one of two plans the first plan has an initial fee of $53 and cost an additional $0.08 per mile driven. the second plan has an initial fee of $48 and costs an additional $0.10 per mile driven.
?
Step-by-step explanation:
what's the question??
17/8x+3/4x+1/6-7/12x+18/3 simplify
Answer:
55x + 148/24
Explanation:
у = 3х + 1
у = 3х - 8
Solve by substation
Find y and x
solve inequalities if all real- number values of x are solutions of the inequality, write true or false
Answer:
false
Step-by-step explanation:
because real number values of x are not the same
If longest out of a triangle is 3 inches longer than the shorter side. The medium size is 2 inches longer than the shorter side. If the perimeter is 26 inches, what are the length of the three sides
Answer:
Shortest side = 7 inches.
Medium side = 9 inches.
Longest side = 10 inches.
Step-by-step explanation:
Let the shortest side be x.
Translating the word problem into an algebraic equation, we have;
Shortest side = x
Medium side = x + 2
Longest side = x + 3
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
[tex] P = A + B + C [/tex]
Substituting into the equation, we have;
26 = x + x + 2 + x + 3
26 = 3x + 5
3x = 26 - 5
3x = 21
x = 21/3
x = 7 inches.
Therefore, the length of the three sides are;
Shortest side = x = 7 inches.
Medium side = x + 2 = 7 + 2 = 9 inches.
Longest side = x + 3 = 7 + 3 = 10 inches.
X + 9 =20 x=___ help
Answer:
x = 11
Step-by-step explanation:
x + 9 = 20 (Subtract 9 from both sides)
x = 20 -9
x = 11
Verify:
11 + 9 = 20 (Correct)
2(4x-1)+3=7
i'm little confused on this
Answer:
x = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Since you cannot subtract -1 from 4x, you multiply 2 × 4x = 8x
Now, you have 8x - 1 + 3 = 7
Seperate the 8x from the other numbers
8x = 1 - 3 + 7 ---> 6
8x = 6
Now simplify
x = [tex]\frac{6}{8}[/tex] <----- to reduce, divide the numerator and denominator by 2
Hence,
x = [tex]\frac{3}{4}[/tex]
Solve for y: 5y = 9 1/2
Answer:
1 9/10
Step-by-step explanation:
I was first make me brainliest. :)
Write an equation of the line passing through the points (-4,13) and (8,-2)
Rewrite as a simplified fraction. 0.83 = ?
Answer:
83/100
Step-by-step explanation:
Answer: [tex]\frac{83}{100}[/tex]
Step-by-step explanation:
This is the simplified fraction form of 0.83.
hope this helps :)
Pren recorded this data set, which contains an outlier.
204, 216, 111, 224, 230, 211, 210, 198, 200, 218
What numbers represent the range, lower quartile, and upper quartiles?
Answer:
111,200,204,210,211
Step-by-step explanation:
21. A right pyramid has a surface area of 258 cm-.
A right cone has a base radius of 4 cm. The
cone and pyramid have equal surface areas.
What is the height of the cone to the nearest
tenth of a centimetre?
Answer:
4/7 4 by 12
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
uh
Step-by-step explanation:
Answer:
wtffffffffffffffffffff
Find the equation of a line which is parallel to y= 2/5 x + 17 and passes through (-15,12)
Answer:
y = 2/5x + 18.
Step-by-step explanation:
The line will have the same slope of 2/5.
Using the point-slope form of a line:
y - 12 = 2/5(x - -15)
y - 12 = 2/5(x + 15)
y = 2/5x + 6 + 12
y = 2/5x + 18.
Answer:
y = (2/5)*x + 18
Step-by-step explanation:
Because the line is parallel to the line y = 2/5 x + 17, the slope of the new line has to be the same as well. So far, we have y = (2/5)*x .
Now what we can do is plug in -15 for x and see what we get for y. Because we get -6, we need 18 more to make it 12. Because of that, the y-intercept is 18 to make the equation of the line y = (2/5)*x + 18.
Solve for x.
−12x+13>35
Drag and drop a number or symbol into each box to correctly complete the solution.
less or greater than
Answer:
the answer is 4
Step-by-step explanation:i hope im right sry if im not
ts
Identify as many solutions to the equation below as you can.
x + y = 12
(ex. 1 + 11 = 12, so (1, 11) is a solution)
Answer:
2+10=12
3+9=12
4+8=12
5+7=12
6+6=12
A rectangular prism has a length of 5 cm, a width of 2 cm, and a height of 1 cm.
Which expressions can be used to find the volume of the prism?
Select each correct answer.
O 5.2.1
12.1
o 1}(5+2)
o (123•15)
Answer:
The first two options
Step-by-step explanation:
The formula is V= l x w x h So that is why the first one works.
The second one works because of the commutative property of multiplication which says that the number don't have to be in a certain order so They multiplied the first 2 numbers which equals 12 1/2 which means 12 1/2 x 1/2 would work
solve the following using the quadratic formula
10x^2-7x+5=0
a)-0.96 and -0.26
b)0.96 and -0.26
c)no solution
b)0.96 and 0.26
Find the missing angle? *
80 + 35 = 115
180 - 115 = 65
the answer is 65
Find the 7 term of the sequence 4, 24, 144,864,
Answer:
common ratio =24/4
common ratio=6
G7=4x(6)^6
G7=186624
HELP ME DO THIS PLEASE IM STRESSING OUT
Answer:
36
Step-by-step explanation:
ik it bc im smart
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 2200 seats. The students filled 1672 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
1) Given two equations: 1) y = x - 3 and 2) y = -2x + 9. graph and state the point of
intersection below: *
Your answer
Answer:
1) y = - 3 and x = 3
2) x = 9/2 and y = 9
Step-by-step explanation:
Substitute x= 0 to find y and y=0 to find x
HELP I NEED HELP ASAP
9514 1404 393
Answer:
A. exponential; constant % rate of change
Step-by-step explanation:
Each round has 50% of the players of the previous round, so the rate of change is a constant percentage. That makes the function a decaying exponential function, matching choice A.
Mike rides his bike with a constant speed of 16km/h. How long will he take to travel 32 kilometers?
20y-10x=5 in slope intercept form can you explain the steps
Given:
The equation is
[tex]20y-10x+5[/tex]
To find:
The slope intercept form of the given equation.
Solution:
The slope intercept form of a linear equation is
[tex]y=mx+b[/tex]
Where, m is slope and b is the y-intercept.
We have,
[tex]20y-10x=5[/tex]
We need to isolate y. Add 10x on both sides.
[tex]20y-10x+10x=5+10x[/tex]
[tex]20y=5+10x[/tex]
Divide both sides by 20.
[tex]\dfrac{20y}{20}=\dfrac{5+10x}{20}[/tex]
[tex]y=\dfrac{5}{20}+\dfrac{10x}{20}[/tex]
[tex]y=\dfrac{1}{4}+\dfrac{x}{2}[/tex]
[tex]y=\dfrac{1}{2}x+\dfrac{1}{4}[/tex]
Therefore, the slope intercept form of the given equation is [tex]y=\dfrac{1}{2}x+\dfrac{1}{4}[/tex].
