[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 )
A warehouse has shelves that can hold 8, 12, or 16 skateboards. each shelf has sections holding the same number of skateboards. what is the greatest number of skateboards that can be put in a section
Answer:
4
Step-by-step explanation:
To solve this you need the find the GCF or the greatest common factor.
To do this just look through the numbers to find the highest factor for all three.
For 8, 12, and 16 it would be 4.
4 goes into all of them and no number higher can do this
So your answer would be 4.
Composite numbers are numbers greater than 1 that are not____.
10
A composite number is a positive integer. which is not prime (i.e., which has factors other than 1 and itself). The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ... (OEIS A002808), whose prime decompositions are summarized in the following table.
SOMEONE PLEASE HELP ME T-T
Shania has 12 coins in her pocket. Of these coins, 5 are pennies and 7 are dimes. Shania randomly selects one coin from her pocket and, without replacing it, selects another coin from her pocket. What is the probability that both coins are dimes?
Answer:
10/12
Step-by-step explanation:
Answer:
10/12
Step-by-step explanation:
what is the correct answers ?
Answer:
x = 4 , y = 5.65
Step-by-step explanation:
y = x² +1,x>0
find the inverse
Answer:
The inverse of x² +1 is:
[tex]\sqrt{x-1},\:-\sqrt{x-1}[/tex]
Step-by-step explanation:
Given
y = x² + 1, x>0
We know that A function g is the inverse of a function f if for y = f(x), x = g(y)
y = x² +1
Replace x with y
x = y² + 1
solve for y
y² = x - 1
Taking square root
[tex]y=\:\sqrt{x-1},-\sqrt{x-1}[/tex]
Thus, the inverse of x² +1 is:
[tex]\sqrt{x-1},\:-\sqrt{x-1}[/tex]
all you need is in the photo
please don't do step by step please put only the answer
cybernetic
Simplify the ratio 40 : 144
HURRY HAS TO BE DONE BY 10:50 Fill in the blank with the correct number.
The number ________
is divisible by 3, 4, 5, and 9.
OA) 24
OB) 45
OC) 90
OD) 180
Answer:
i think its 180
Step-by-step explanation:
What is an algebraic expression for "41 more than y "?
Please Find the solution to the following system using substitution or elimination: y = 3x + 7 y = -2x -3
A. (-2,1)
B. (-2,-7)
C. (1,10)
D. (1,-4
What is the length of the hypotenuse, x, if (12, 35, x) is a Pythagorean triple?
33
37
47
58
Answer: The answer is 37.
Step-by-step explanation: i took test
The length of the hypotenuse, x is 37.
The correct option is B.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
A Pythagorean triple (12, 35, x).
Applying the Pythagoras theorem,
The length of the hypotenuse, x,
x = √(35)² + (12)²
x = √1369
x = 37
Therefore, the value of x is 37.
To learn more about the Pythagoras theorem;
https://brainly.com/question/343682
#SPJ6
Solve 3x - 5 = 16
Write your solution starting with x= .
Answer:
3x -5 = 16
3x = 16 +5
3x = 21
x = 7
3x-4/5=-1/2 what is the value of x ?
Answer:
the value of x is 0.1
Step-by-step explanation:
i hope this helped
have a good day
Find the slope of (2,6)-(1,3) including all steps.
Answer:
3
Step-by-step explanation:
(6-3) / (2-1) = 3/1 = 3
Mia is factoring the polynomial x2 + 4x – 12. She uses the steps shown.
A 2-column table with 4 rows. The first column has no label with entries Step 1, Step 2, Step 3, Step 4. The second column is labeled x squared + 4 x minus 12 with entries x squared + 6 x minus 2 x minus 12, (x squared + 6 x ) minus (2 x + 12), x(x + 6) minus 2(x + 6), (x + 6)(x + 2).
In which step did Mia make an error?
Step 1
Step 2
Step 3
Step 4
Mia's error is in step 4
What is factorization?Factorization involves splitting a function into several factors
The steps in factorizing the expressions are:
Step 1: x^2 + 6x - 2x -12
Step 2: (x^2 + 6x) - (2x + 12)
Step 3: x(x + 6) - 2(x + 6)
Step 4: (x + 6)(x + 2)
From the step 3 to step 4, the resulting expression should be
(x + 6)(x - 2)
However, the step 4 of the expression is (x + 6)(x + 2)
The expected expression and the actual expression in step 4 are different.
Hence, Mia's error is in step 4
Read more about factorization at:
https://brainly.com/question/11579257
this is a pattern 729, 243, 81, 27, __ , __
6x + y = -1
y=-3x - 4
Answer:
x = 1, y = 7
Step-by-step explanation:
If y = -3x - 4, then
6x -3x -4 = 1
3x - 4 =-1
3x = 3
x = 1
If x = 1, then
y = -3*1 -4 = -3 -4 = -7
Find the slope of the line passing through the points (-9,4) (8,4)
Answer:
slope = 0
Step-by-step explanation:
1) Use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], to solve for the slope. Use the x and y values of the given points, substitute them into the formula, and solve like so:
[tex]m = \frac{(4)-(4)}{(8)-(-9)} \\m = \frac{4-4}{8+9} \\m = \frac{0}{17} \\m = 0[/tex]
Thus, the slope is 0.
Tyrese wants to buy baseball cards. They cost $5.00 per pack. There is a 25% discount before tax if 10 or more packs are purchased. Sales tax is 7%. If Tyrese buys 15 packs of cards, how much does he pay?
Answer:
72.225 $
Step-by-step explanation:
The price per pack: 5.00 $
When the amount of packs is > 10 :
90 % * 5 $ = 4.50 $ before tax.
The price of 15 packs:
4.50 $ * 15 = 45 + 22.5 = 67.5 $ before tax.
After tax:
107 % * 67.5 $ = 72.225 $ after tax.
LI
EA
5
S
3. What is 4/5x 25?
a. 5
b. 10
C. 15
d. 20
Answer: D. 20
Step-by-step explanation:
(4/5)(25/1)
= 100/5
=20
help a girl out pls!!!!
Answer:
Your answer would be D!
Step-by-step explanation:
The points (9, 9) and (5, 1) fall on a particular line. What is its equation in slope-intercept form?
Please help the problem is in the picture provided below.
Step-by-step explanation:
step 1. subtract, subtract (the answers are both "subtract")
step 2. The 2nd question is incorrect and even has the answer in the question.
pls help!!! worth 14 points:))))
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
180-152=28
28 _________
Gary had a piece of paper that has an area of 88 square inches. He folds it in half repeatedly. Write an equation to represent the area of the paper.
Answer:
88,44,22,11,5.5,2.75
Step-by-step explanation:
what’s 35 divide by 4?
Answer:
Step-by-step explanation:
35/4 = 8.75 or 8 3/4
Sandra bought 5 pounds of sweet potatoes for $6.80. What is the cost per pound of the sweet potatoes?
Answer:
the answer should be 1.36$ per pound of potatoes
HELP PLEASE ASAP!!!!!!!!
Brainliest goes to correct answer and 30 points given!!!!!
Answer:
lol lots of luck
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS I NEED TO PASS THIS PLEASE:/
Answer:
B
Step-by-step explanation:
the line has no slope
y = 5
Answer:
b
Step-by-step explanation:
Graph each of the following. Label the axis of symmetry and the vertex.
y=2x^2-4x+1
y=2x^2+8x+6
Plz help!!!
Answer:
See below
Step-by-step explanation:
Attached are the two graphs where the blue line represents the axis of symmetry.