Solve the system of equations by substitution.
3x + y = 9z
-5x + 2y = -4z
What is the value for y from the first equation, that could be substituted into the second equation?
-9z + 3x
3z + 9x
9z - 3x
-3x - 9z
Answer:
x = 1.27
y = 5.18
Step-by-step explanation:
to solve this system of equation by simultaneous equation we say that let
3x+y=9.............................. equation 1
-5x+2y=4 .......................... equation 2
from equation 1
3x+y=9.............................. equation 1
y = 9 -3x.............................. equation 3
substitute the value of y = 9 -3x into equation 2
-5x+2y=4 .......................... equation 2
-5x + 2( 9 -3x) = 4
-5x + 18 - 6x = 4
collect the like terms
18 - 4 = 6x + 5x
14 = 11x
divide both side by 11
14/11 = 11x/11
x = 14/11
x = 1.27
put the value of x = 1.27 into equation 3
y = 9 -3x.............................. equation 3
y = 9 - 3( 1.27)
y = 9 - 3.82
y = 5.18
to check if you are correct put the value of x and y into either equation 1 or equation 2.
3x+y=9.............................. equation 1
3( 1.27) + 5.18 = 9
3.81 + 5.18 = 9
9 = 9
What does this graph represent?
Question options:
not moving
acceleration
constant speed
Answer:
A or C
Step-by-step explanation:
The volume of a cube is 496cm
Work out the length of its side rounded to 1 DP
cm
Answer:
7.9
Step-by-step explanation:
Volume = side · side · side
∛496 = 7.915783219
[tex]at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.[/tex]
at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.
What are numbers that add to 50 and subtract to 10
Answer:
30 plus 20 is 50
30 minus 20 is 10
PLEASE ANSWER QUICK AND SHOW WORK
Miss Johnson borrow $8,300 to buy a car. She agreed to a
4% interest rate and payments for 5 years.
How much will her interest be?
What is her total debt for buying the car?
Answer:
Interest: $402.20
Total Debt owed: $9,302.00
Step 1: Multiply the principal (the original amount borrowed) by the interest rate (%):
$8,300 x 4% = 360.00 (interest for one year)
Step 2: Find out how many years she will be paying back the loan and add that number of years to the first payment year ($360). ($360 + 5years = 365 total payments) Then multiply the total number of payments by the interest rate ($365 x .04 = $14.60 interest per payment).
Step 3: Add up all the yearly interests ($14.60 per payment x 12 months = $181.20 yearly interest)
Step 4: Add the yearly interest to the total debt owed.
$9,302 + $181.20 = $9,483.20 total debt
Total amount owing after 5 years = $8,300+($365 x .04 interest rate per payment for 60 months)=10,605.00 dollars owed in 5 years of payments. Interest owed is 10,605 x .04=$410.20 for a grand total of 10,915.20 dollars owed overall for this 4% loan which was paid back over a period of five years with twelve monthly payments per year at four percent interest rate per month ($410.20/12=$34.02).
If you and 2 friends went to dinner and the bill was $57.90 after taxes and you wanted to leave a 25% tip. How much total would you have to pay each? (round to the nearest hundredth)
Answer:14.48
sorry if it is wrong.
Step-by-step explanation:0.25*57.90=14.475
Le regioni italiane bagnate dal mare sono un insieme?
Answer:
non so cosa intendi per intero
Step-by-step explanation:
Può essere più preciso?
A unit cube could be 6 units long by 6 units wide by 6 units tall. True or false?
Answer:
True
Step-by-step explanation:
how far does the object go
2 hours at 75km\h
Answer:
150 miles per hourStep-by-step explanation:
Objective: finding the distance
Formula: speed × time = distance
75 × 2 = 150
final answer: 150 mph
Two cyclists are 7 miles apart when they begin biking away from each other in
opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of
the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles apart are the cyclists in 45 minutes
Answer:
25
Step-by-step explanation:
Its just 25
I really don’t know how to do this
Which fraction is larger? 2/3, 3/4, 3/5, 5/7
A: 2/3 B: 3/4 C: 3/5 D: 5/7
what would 2 x (x-3) sum be
Answer:
2x-6 I think
Step-by-step explanation:
Which equation matches the graph shown?
Answer:
Vertex form: y = -2(x - 1)²
Standard form: y = -2x² + 4x - 2
Step-by-step explanation:
Given the x-intercept as the vertex, (1, 0), and the y-intercept, (0, -2) as the two points on the graph of a parabola:
We can determine the equation by substituting these given values into the vertex form of the quadratic equation:
y = a(x - h)² + k
where:
a = determines the direction of where the graph opens, and the wideness or narrowness of the parabola.
(h, k) = vertex
Solve for the value of a:Use vertex: (1, 0) and y-intercept, (0, -2):
y = a(x - h)² + k
-2 = a(0 - 1)² + 0
-2 = a(-1)²
-2 = a(1)
-2 = a
Quadratic Equation:Vertex form:The quadratic equation in vertex form that matches the graph is:
y = -2(x - 1)² + 0 or y = -2(x - 1)² ⇒ This is the quadratic equation in vertex form.
Standard form:To transform the vertex form into the standard form, y = ax² + bx + c:
Simply expand the perfect square, (x - 1)², through FOIL method before distributing -2:
y = -2(x - 1)²
y = -2(x - 1)(x - 1)
y = -2(x² -2x + 1)
y = -2x² + 4x - 2 ⇒ This is the quadratic equation in standard form.
If f(x)=6, what is x?
Answer:so: 6=6/5-x^3
6=6(5-x^3)
6=30-6x^3
-6x^3=6-30
-6x^3=-24
-6x^3+24=0
6x^3-24=0
6(x^3-4)=0
x^3-4=0
x^3=4
x=cube root 4
x=1.5874
Step-by-step explanation:
what is the slope of (10,8) and (1,9)
Answer:
1/-9 or -0.111(repeating)
Step-by-step explanation:
Answer:
(1,9)
Over to the right one. then up nine of a graph
who goes to Catonsville middle school pls answer
Answer:
Uh not me but I don't think you should leak your schools name...
Please find x and y... I will mark you brainliest
Answer:
Step-by-step explanation:
Dodoodo
Step-by-step explanation:
x=30 and y=30. I have solve it. See the picture that I have attached.
In which diagram are angles 1 and 2 vertical angles?
Answer:
Step-by-step explanation:
can you upload diagram?
I don’t know what the answer is
Write a recursive formula for the explicit formula
A(n) = -1 + (n-1)(-2)
Answer:
see explanation
Step-by-step explanation:
A recursive formula allows a term in the sequence to be found by adding a common difference to the previous term
Given the explicit formula
A(n) = - 1 + (n - 1)(- 2)
This is an arithmetic sequence with explicit formula
A(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
For the given explicit formula, then
a₁ = - 1 and d = - 2
The recursive formula is then
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 2 ; a₁ = - 1
7. Proving the Perpendicular Bisector Theorem Using Reflections
Given: Point P is on the perpendicular bisector m of AB.
Prove: PA PB
What is the graph of y=3/4x-3
Answer:
the answer is graph C
Step-by-step explanation:
babyface_wee
Answer: Graph A
Step-by-step explanation:
y-intercept = -3 So, Not Graph B
Slope = 3/4x = rise 3 run 4 or up 3 right 4. So not Graph C
Graph A meats all the criterias.
What is the slope-intercept form of the linear equation 2x - 8y = 32?
(Don't forget to simplify fractions if possible)
Answer:
y = 1/4x + 4
Step-by-step explanation:
2x - 8y = 32
-2x -2x
-8y = -2x + 32
divide everything by -8
so that y becomes positive
answer : Y = 1/4x + 4
The slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.
Given is an equation of a line 2x - 8y = 32, we need to convert it into slope-intercept form of the linear equation.
The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.
To convert the equation 2x - 8y = 32 into slope-intercept form, we need to isolate y on one side of the equation.
Let's rearrange the given equation to solve for y:
2x - 8y = 32
Subtract 2x from both sides:
-8y = -2x + 32
Divide both sides by -8:
y = (2/8)x - 4
Simplifying further, we get:
y = (1/4)x - 4
So, the slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.
Learn more about linear equation click;
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-5 x -0.2 i got stuck here
find the slope of the line, given the points (0,2) and (3.6,2) show all your work
Answer:
There is no slope because the slope is zero. The line has no slope because it's a vertical line.
Step-by-step explanation:
Slope = [tex]\frac{2-2}{3.6-0} = \frac{0}{3.6} =0[/tex]
Slope = 0
The line has no slope.
jerry has 3,572 live chickens in his poultry farm.if there are 38 boxes , how many chickens must go in each box?
Answer: 94 live chickens go in each box.
Step-by-step explanation: 3,572 divided by 38 = 94 so 94 live chickens go in each box.
hope this helps :)
The cost of a pen is 3 times the cost of a pencil. The total cost of 8 pencils and 5 pens is $11.50.
Please help me to find the costs of a pen and a pencil.
Answer:
$5.78
Step-by-step explanation:
brainliest?
in a class there are 48 students the number of the girls is 3 times how many boys and girls are in class
Answer:
There are 12 boys and 36 girls.
Step-by-step explanation:
This equation should help explain it.
x + 3x = 48
Let's say that there are an x number of boys. Then there would be 3 times x of girls. So x (the boys) plus 3x (the girls) equal 48 (the total amount of students).
To solve this equation, first add x and 3x to get 4x. Then divide that by 48, and we get x = 2.
The amount of boys = x, so there are 12 boys.
The amount of girls = 3x, so there are 3 times 12, or 36 girls.