Solve the system of equations using the substitution method. X + 3y = -4 x= - 4y
Answer:
x: -16
y: 4
Step-by-step explanation:
What is the x-value at which the graphs of y = x2 – 2x + 1 and y = x2 + 2x – 7 inter-
sect?
Answer:
x = 2
Step-by-step explanation:
Both equations are equal to y, so they're also equal to each other. We then set them equal to each other:
x^2 - 2x + 1 = x^2 + 2x - 7
We now do algebra to isolate x. Subtract 1 from both sides.
x^2 - 2x = x^2 + 2x - 8
Subtract 2x from both sides.
x^2 - 4x = x^2 - 8
Subtract x^2 from both sides.
-4x = -8
Divide both sides by -4.
x = 2
What are the x- and y-intercepts of the following Standard Form Equation:
- 2x + 5y = 0
Answer:
X-Intercept: [tex]x=-\frac{5}{2}y[/tex]
Y-Intercept: [tex]y=-\frac{2}{5}x[/tex]
Step-by-step explanation:
X-Intercept-
2x+5y=0 - Move the variable to the right-hand side and change its sign
2x=-5y - Divide both side of the equation by 2
x=-5/27 - Write the solution x in parametric form
x=-5/2y, y∈R
Y-Intercept-
2x+5y=0 - Move the variable to the right hand side and change its sign
5y=-2x Divide both sides of the equation by 5
y=-2/5x Write the solution y in parametric form
y=-2/5x, x∈R
3х – 6 = 4 (2 - 3х) — 8x
what is x?
Answer:
x = 2/5 or 0.4
Step-by-step explanation:
3x - 6 = 4(2 - 3x) - 8x
distribute
3x - 6 = 4*2 - 4*3x - 8
3x - 6 = 8 - 12x - 8
combine like terms
3x - 6 = -12x
add 12x to both sides of the equation
3x - 6 + 12x = -12x + 12x
3x - 6 + 12x = 0
15x - 6 = 0
add 6 to both sides of the equation
15x - 6 + 6 = 0 + 6
15x = 6
divide both sides of the equation by 15
15x/15 = 6/15
x = 6/15
x = 2/5
x = 0.4
Pls pls pls help me
Step-by-step explanation:
I hope its clear.
try finding help from others...
mine could be wrong
find what x=______
show work pleae
Answer:
Use pythogoras theorem
a^2+b^2=c^2
x^2=c^2-a^2
x^2=15^2-12^2
x^2=81
x= square root of 81
x=9
Step-by-step explanation:
Please help I’ll give you brainlist or something
Answer:
1 slope of f is 5
slop of g is 2
2. connor
initial value is 200
rate of change is -10
Pilar
initial value is 242
rate of change is -8
3.
y intercept of f is -3
y intercept of g is -1
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
.
HELP ASAP A furniture manufacturer must pay $16.91 to make a certain kind of chair, which it can sell for $55.75. If the manufacturer has starting overhead costs of $18,340, not including production costs, how many chairs must it sell to realize a profit of $24,850, to the nearest chair?
a. 1,112
b. 918
c. 775
d. 640
(10 points and brainliest if the answer is right)
Answer:
A. 1,112
Step-by-step explanation:
The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.
Option A is the correct answer.
What is an expression?
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let's start by finding the profit per chair:
So,
Profit per chair = Selling price - Production cost
= $55.75 - $16.91
= $38.84
Next, we need to determine how many chairs the manufacturer needs to sell to make a profit of $24,850:
Profit = Profit per chair x Number of chairs sold - Overhead costs
$24,850 = $38.84x - $18,340
$43,190 = $38.84x
x = 1,112.49
Rounding to the nearest whole number, the manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.
Therefore,
The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.
Learn more about expressions here:
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Subtract
- 3x 8 from 4x2 – 7x – 2.
-2 • (4x2from4 + 5x + 1)
Step-by-step explanation: Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
(2): Dot was discarded near "2.".
STEP
1
:
Equation at the end of step 1
((-3x - (23from4 • x2)) - 7x) - 2
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-8x2from4 - 10x - 2 = -2 • (4x2from4 + 5x + 1)
Trying to factor a multi variable polynomial :
3.2 Factoring 4x2from4 + 5x + 1
Which of the following functions best describes this graph?
A. y = (x - 3)(x + 1)
B. y = x - x +5
C. y = x? -5x + 6
D. y = (x - 1)(x - 1)
Answer: D: Y=(x-1)(x-1)
Step-by-step explanation:
The function described by the graph is [tex](x-1)^2[/tex].
Therefore, the correct answer is Option D. y = ( x - 1 ) ( x - 1 )
Given data:
The function is represented as f(x) = y
Now, the value of f(x) is plotted below:
To plot the graph, start by determining some key points and then connecting them.
When x = 0:
f(0) = 1
So, the point is (0, 1).
When x = 1:
f(1) = 0
So, the point is (1, 0).
When x = 2:
f(2) = 1
So, the point is (2, 1).
The graph of [tex]f(x) = (x - 1)^2[/tex] is a parabola that opens upwards. The vertex of the parabola is at the point (1, 0), which corresponds to the minimum value of the function.
As x moves further away from 1 in either direction, the function increases.
Hence, the parabolic function is [tex]f(x) = (x - 1)^2[/tex].
To learn more about parabola, refer:
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what is distributive of property
(6e - 3f - 4) * 2
Answer:
12e - 6f - 8
Step-by-step explanation:
(a+b)*c = a*c + b*c
6e * 2 -3f * 2 -4 * 2
What is the equation of the line whose y-intercept is 3 and slope is 1?
O y=x-3
O y=x+3
O y= 3x+1
Answer:
y = x + 3
Step-by-step explanation:
y = mx + b
m is the slope
b is the y intercept
if m = 1 and b = 3 then
y = x + 3
Thirty-two of 50 marbles are blue. What percent of the marbles are blue?
Answer:
64%
Step-by-step explanation:
Thirty-two of 50 marbles = 32/50[tex]\frac{32}{50} = \frac{64}{100}[/tex] 64/100 = 64%I hope this helps!
The midpoint of UV is point W. What are the
coordinates of point V?
Can someone help me calculate angles? P2
Answer:85
Step-by-step explanation: In this problem you are trying to find the missing angle of a line. In a line all angles have to add up to 180 so what you wanna do first is add 55 and 40 which gives you 95. Next, you wanna subtract 95 from 180 which will give you 85. Now you know the missing angle.
Each student in your class has to do 14 practice problems. There are 23 students in your class. How many problems will your teacher have to grade?
Answer:
322
Step-by-step explanation:
23x14=322
Joy delivered 450 newspapers in 3 hours how many can she deliver in 4 hours
Step-by-step explanation:
Time in hours is directly proportional to the number of newspapers.
3 hours = 450 newspapers
=> 4 hours = 450 * (4/3) = 600 newspapers.
Hence Joy can deliver 600 newspapers in 4 hours.
What is the equation of the line that passes through the point (5,−2) and has a slope of -2/5
Answer:
y= -(2/5)x
Step-by-step explanation:
When you graph this line you can see it clearly passes through the point (5,-2)
Answer:
y + 2 = -2/5 (x - 5)
OR
y = (-2/5)x
Step-by-step explanation:
There are many ways you can find the equation.
There are two main ones, one called point-slope form, and the other called slope intercept form.
Point-slope form is easy. All you need a a point on the line, and the slope! Since they give you that in the question, all you need to do is plug things in.
Point slope form is y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])
x and y are any points. [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that the problem gives you. m is the slope.
The equation would be y + 2 = -2/5 (x - 5).
Slope intercept form is a bit harder. You need a point and the y-intercept.
Since you already have the slope, all you need to find is the y-intercept.
Slope intercept form is y = mx + b
x and y are the given points. m is the slope, and b is the y-intercept.
The y intercept is when the x value of a point is 0.
To find b, you can plug in the information you have, which is the point and the slope.
y = mx + b
-2 = (-2/5)(5) +b
-2 = -2 +b
b = 0
Since b is 0, the equation would just be y = (-2/5)x.
Ehich of thr following expressions has a Simplified value of 3A -2?
I need help Knowing What This thing does Before they ban me XD meme life
In a standard deck of cards, what is the probability of drawing a face card?
Answer (round) to the hundredth place value.
Reasoning:
There are 12 face cards since there are 3 face cards in any suit, and 4 suits. So 3*4 = 12.
There are 52 cards total.
Dividing the values leads to 12/52 = 0.230769 which rounds to 0.23
Combine like terms: 4f + 3e - 2f - e
Answer:
2f + 2e
Step-by-step explanation:
4f -2f = 2f
3e - 1e = 2e
2f + 2e
PLEASE HELP ME WITH MY DELTA MATH PLEASEEEE
Answer:
The range of the graph is {y: y ∈ R, -6 ≤ y ≤ 8}
Step-by-step explanation:
The domain is the set of values of the input (x)
The range is the set of values of the output (y)
In the given figure
∵ x is the input
∴ The set of the values of x is the domain
∵ Y is the output
∴ The set of the values of y is the range
∵ The smallest value of y is -6
∵ The greatest value of y is 8
→ That means values of y of the graph are from -6 to 8
∴ -6 ≤ y ≤ 8
∴ The range = {y : y ∈ R, -6 ≤ y ≤ 8}
∴ The range of the graph is {y: y ∈ R, -6 ≤ y ≤ 8}
A rectangle has a length of (2x-7) and a width of (x+5) perimeter
Answer:
6x - 4
Step-by-step explanation:
Perimeter is equal to double the length plus double the width, and if you use this to find perimeter, you would get that the perimeter = 2(2x-7)+2(x+5), which simplifies to 4x - 14 + 2x + 10, which simplifies to 6x - 4. That means that the rectangle's perimeter is 6x-4.
Solve: x2 + 5x - 6= 0
A. -1, 6
B. 1, -6
C. -2, -3
D. 1,5
Answer:
Assuming that the x2 is x squared, B
Step-by-step explanation:
(1)(1) + 5(1) - 6 = 1 + 5 - 6 = 6 - 6 = 0
(-6)(-6) + 5(-6) - 6 = 36 - 30 - 6 = 6 - 6 = 0
Answer:
B
Step-by-step explanation:
Let's solve using factoring.
x²+5x-6=0
5 is the sum of the numbers, while -6 is their product.
Think: which two numbers add up to 5, but when multiplied, equal -6?
Those numbers are -1 and 6.
Now factor the polynomial:
(x-1)(x+6)=0
split into parts:
(x-1)=0
x-1=0
x=1
(x+6)=0
x+6=0
x=-6
So B
Hope this helps!
Drag each graph to show if the system of linear equations it represents will have no
solutions, one solution, or infinitely many solutions.
Solve for b in the equation 4(b + 2) = 16
Answer:
b=2
Step-by-step explanation:
Three friends all live on the same street that runs west to east. Ben lives 8 blocks from ann. Carol lives 2 blocks from ben. If the street is represented by a number line and ann's house is located at 0, what are the possible locations for carol's house?
Answer:
i. 10 units (Carol's house is 10 units on the right from Ann's house)
ii. -10 units (Carol's house is 10 units on the left to Ann's house)
Step-by-step explanation:
A number line is a system that can be used to express the location of directed number on a straight line. It has an origin which is taken to be zero (0).
In the given question, Ann's house is located at 0 of the number line. Let 1 block be represented by 1 unit on the number line.
Thus, Ben lives 8 blocks from Ann implies that Ben's house is at 8 units from Ann's house.
Given that Carol's house is 2 blocks from Ben implies that Carol's house is 2 units from Ben.
So that,
The possible locations of Carol's house depends on its position with respect to Ann's house.
i. Carol's house = 8 + 2
= 10 units
This implies that Carol's house is 10 units on the right from Ann's house.
ii. Carol's house = - 8 - 2
= -10 units
This implies that Carol's house is 10 units on the left to Ann's house.
How do I solve this? PLEASE HELP TIME LIMIT
im not sure how to explain it, but i know its b
Cheryl decorated a border of a birthday card with flowers. The flowers were 1/200 m apart. The length of the border was 1/5 m. There was a flower at each end of the border. How many flowers did she draw?
Answer:
She draw 40 flowers
Step-by-step explanation:
Given
[tex]Length = \frac{1}{5}m[/tex]
[tex]Flower = \frac{1}{200}m[/tex]
Required
Determine the number of flowers
To do this, we simply divide the length of the border by the length of the flower.
[tex]Number = \frac{1}{5}/ \frac{1}{200}[/tex]
Convert to multiplication
[tex]Number = \frac{1}{5}* \frac{200}{1}[/tex]
[tex]Number = \frac{200}{5}[/tex]
[tex]Number = 40[/tex]
Hence, she draw 40 flowers