Answer:
[tex]8z^6-3v[/tex]
Step-by-step explanation:
Use substitution to solve the system.
x=3y+5
5x-4y=14
______________
x=
y=
Lexi jarred 2.3 liters of jam after 2 days. How many days does Lexi need to spend making jam if she wants to jar 4.6 liters of jam in all?
Answer:
bruh 4 days duh
Step-by-step explanation:
WILL MARKDOWN BRAINLIEST
Answer:
1. $539
2. $300
3. C
Step-by-step explanation:
May I have brainliest?
Simplify the following expression (87x + 63y) - (6x + 32y)
Answer: 81x + 31y
Step-by-step explanation:
What is the discriminant of the quadratic equation, 4x^2-8x-5=0
Answer:
Step-by-step explanation:
4x^2-8x-5=0
The discriminant is the number under the √. In this case it's 144
Answer:
[tex]\Delta=144[/tex]
Step-by-step explanation:
For a quadratic in standard form, the discriminant is given by:
[tex]\Delta=b^2-4ac[/tex]
We have the equation:
[tex]4x^2-8x-5=0[/tex]
Hence, our a=4; b=-8; and c=-5.
Substituting into our formula, we acquire:
[tex]\Delta=(-8)^2-4(4)(-5)[/tex]
Evaluate:
[tex]\Delta=64+80[/tex]
Add:
[tex]\Delta=144[/tex]
Therefore, our discriminant is 144.
Notes:
Since our discriminant is a positive value, this tells us that our quadratic has two real roots.
find the value of x PLEASE EXPLAIN
Answer:
x = 57, x = 111
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
x + 67 + 56 = 180
x + 123 = 180 ( subtract 123 from both sides )
x = 57
---------------------------------------------------------------------
Similarly
x + 47 + 22 = 180
x + 69 = 180 ( subtract 69 from both sides )
x = 111
We can say that:
In the first triangle, x = 57°In the second triangle, x = 111°Let's go!We must know that the sum of all the internal angles of a triangle is equal to 180°. So, just solve an equation to determine x in each triangle.
First triangle:67 + 56 + x = 180 → Sum:123 + x = 180 → We move 123 to the other side, changing its signal.x = 180 - 123 → Subtract:x = 57°Second triangle:22 + 47 + x = 180 → Sum:69 + x = 180 → We move 69 to the other side, changing its signal.x = 180 - 69 → Subtract:x = 111°________________
Hope this helps! Good studies! ☺
Parallel or perpendicular 3x+5y=10 and 5x-3y=-6
3 + 2p - 4 = 11
algebra 1 solving equations
Answer: the variable is p=6 .
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
p = 6
Step-by-step explanation:
Step 1: Simplify both sides.
3 + 2p − 4 = 11
3 + 2p + −4 = 11
(2p) + (3+−4) = 11 (Combine Like Terms)
2p + −1 = 11
2p − 1 = 11
Step 2: Add 1 to both sides.
2p − 1 + 1 = 11 + 1
2p = 12
Step 3: Divide both sides by 2.
2p/2 = 12/2
p=6
A machine can pack 70 boxes of spaghetti in 5 minutes. At this rate, how
many boxes can they pack in 8 minutes.
Answer:
112 boxes
Step-by-step explanation:
Answer: 112 boxes
Step-by-step explanation: 112 boxes in 8 minutes. To find how many boxes the machine packs per minute, you divide 70 by 5 and you get 14. You then multiply 14 boxes by 8 minutes giving you the product of 112.
5 (2k - 8 ) - 15 = -25
how do I solve this?
Answer:
3=k
5(2k-8)-15=-2510k-40-15=-2510k-55=-2510k=-25+5510k=3030÷103=kA curve is such that (dy)/(dx) = 12/(2x + 1) ^ 2 and P(1, 5) is a point on the curve . (i) The normal to the curve at P crosses the x-axis at Q. Find the coordinates of Q (ii) Find the equation of the curve. (iii) A point is moving along the curve in such a way that the x-coordinate is increasing at a constant rate of 0.3 units per second. Find the rate of increase of the y-coordinate when x=1
(i) The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].
(ii) The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].
(iii) The rate of increase of the y-coordinate is 1.2 units per second.
(i) By analytical geometry, we know that the slope of a line normal of a curve ([tex]m_{\perp}[/tex]) by the following expression:
[tex]m_{\perp} = - \frac{1}{\frac{dy}{dx} }[/tex] (1)
Where [tex]\frac{dy}{dx}[/tex] is the slope of the line tangent to the curve.
If we know that [tex]x = 1[/tex], then the slope of the normal to the curve is:
[tex]\frac{dy}{dx} = \frac{12}{2\cdot (1)+1}[/tex]
[tex]\frac{dy}{dx} = 4[/tex]
And the slope of a line normal of a curve is:
[tex]m_{\perp} = -\frac{1}{4}[/tex]
By definition of secant curve we calculate the remaining coordinate of the point Q:
[tex]m_{\perp} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (2)
Where:
[tex]x_{P}[/tex], [tex]x_{Q}[/tex] - x-coordinates of points P and Q. [tex]y_{P}, y_{Q}[/tex] - y-coordinates of points P and Q.If we know that [tex](x_{P}, y_{P}) = (1, 5)[/tex], [tex](x_{Q}, y_{Q}) = (x, 0)[/tex] and [tex]m_{\perp} = -\frac{1}{4}[/tex], then the remaining coordinate of point Q is:
[tex]-\frac{1}{4} = \frac{0-5}{x-1}[/tex]
[tex]-\frac{1}{4}\cdot (x-1) = -5[/tex]
[tex]-\frac{1}{4}\cdot x +\frac{1}{4} = -5[/tex]
[tex]\frac{1}{4}\cdot x = \frac{21}{4}[/tex]
[tex]x = 21[/tex]
The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].
(ii) The equation of the curve is derived by separating the variables and integrating the resulting expression:
[tex]dy = \frac{12}{2\cdot x + 1}\,dx[/tex]
[tex]\int\, dy = 6\int {\frac{2\,dx}{2\cdot x + 1} }[/tex]
[tex]\int \, dy = 6\int {\frac{du}{u} }[/tex]
[tex]y = 6\cdot \ln u[/tex]
[tex]y = 6\cdot \ln (2\cdot x + 1)+C[/tex]
And the integration constant is found for [tex](x,y) = (1, 5)[/tex]:
[tex]5 = 6\cdot \ln(2\cdot 1 + 1) + C[/tex]
[tex]C = -1.592[/tex]
The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].
(iii) The rate of increase of the y-coordinate by using the differential equation presented in statement and the definition of rate of change:
[tex]\frac{dy}{dt} = \left(\frac{12}{2\cdot x +1}\right)\cdot \frac{dx}{dt}[/tex] (3)
If we know that [tex]\frac{dx}{dt} = 0.3[/tex] and [tex]x = 1[/tex], then the rate of increase of the y-coordinate is:
[tex]\frac{dy}{dt} = \left[\frac{12}{2\cdot (1)+1} \right]\cdot (0.3)[/tex]
[tex]\frac{dy}{dt} = 1.2[/tex]
The rate of increase of the y-coordinate is 1.2 units per second.
To learn more on differential equations, we kindly invite to check this verified question: https://brainly.com/question/25731911
i). The coordinates of Q is equal to:
[tex](x,y) = (21, 0)[/tex]
ii). The equation of the curve is:
[tex]y = 6. In(2.x + 1) - 1.592[/tex]
iii). The rate of increase for y-coordinate when x = 1:
[tex]1.2 units[/tex] per second
i). Using analytical geometry,
[tex]xp[/tex] and [tex]xq[/tex] are the P and Q's x-coordinates.
[tex]yp[/tex] and [tex]yq[/tex] are the P and Q's y-coordinates.
Since ([tex]xp[/tex], [tex]yp[/tex]) = (1,5) and ( [tex]xq[/tex], [tex]yq[/tex]) = [tex](x, 0)[/tex] and m⊥ = - 1/4, the left coordinate of Q's point:-
-1/4 = (0-5)/(x - 1)
∵[tex]x = 21[/tex]
Thus, the coordinates of y = (21, 0)
ii). Through isolating the variables and employing integration:-
[tex]dy = \frac{12}{(2.x + 1)} dx[/tex]
by integration and integration constant (1,5), the equation is:
[tex]y = 6. In(2.x + 1) - 1.592[/tex]
iii). The rate of increase for y-coordinate:
[tex]dy/dt[/tex] = [tex]\frac{(12)}{(2.1 + 1)} .0.3[/tex]
∵ [tex]dy/dt[/tex] [tex]= 1.2[/tex]
Thus, the rate of increase for y-coordinate when x = 1 is 1.2 units per second.
Learn more about "Co-ordinates" here:
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Isaac has $15,000 in his bank account. Every month he spends $1,000. He does not add money to the account. EN
Answer:
Then he has 15 months?
Step-by-step explanation:
you might need to explain your question
What is the expanded form of 720.058
Answer:
Standard Form:
720.058
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
720.058 =
700
+ 20
+ 0
+ 0.0
+ 0.05
+ 0.008
Expanded Factors Form:
720.058 =
7 × 100
+ 2 × 10
+ 0 × 1
+ 0 × 0.1
+ 5 × 0.01
+ 8 × 0.001
Expanded Exponential Form:
720.058 =
7 × 102
+ 2 × 101
+ 0 × 100
+ 0 × 10-1
+ 5 × 10-2
+ 8 × 10-3
Word Form:
720.058 =
seven hundred twenty and fifty-eight thousandths
Step-by-step explanation:
Answer:
700 + 20 + 0 + 0.050 + 0.008
Step-by-step explanation:
Which expressions simplify to a rational answer?
Select each correct answer.
Answer: the answers are the second one and the last one
Step-by-step explanation:
Which graph has figures that can undergo a similarity transformation to justify that they are similar? On a coordinate plane, a small square and a rectangle are shown. On a coordinate plane, 2 rectangles are shown. The smaller rectangle is 1 unit smaller than the larger rectangle on all sides. On a coordinate plane, 2 rectangles are shown. The smaller rectangle is 1 unit smaller on the left and top sides than the larger rectangle. On a coordinate plane, 2 rectangles are shown. The smaller rectangle is 3 units smaller on the left side and 1 unit smaller on the top than the larger rectangle.
Answer:
I think it is the second graph.
Step-by-step explanation:
Answer:
its the second graph.
Step-by-step explanation:
Can someone please help me with this proof?!
Given: AC and BD bis, each other.
Prove: ABCD is a parallelogram
Answer:
because AC and BD bis => AX = XC; BX = XD
ΔAXD ≅ ΔCXB (SAS) because: AX = CX
DX = BX
m∠AXD = m∠BXC ( 2 opposing angles)
because ΔAXD ≅ ΔCXB (SAS)
=> AD = BC and m∠DAX = m∠BCX
because m∠DAX = m∠BCX => AD//BC
ABCD has AD = BC and AD//BC => ABCD is a parallelogram
Step-by-step explanation:
The post office sold 39-cent
commemorative stamps in sheets
of 25 stamps. What was the price
for the sheet of stamps?
Answer: $9.75.
Step-by-step explanation:
Given: Cost per stamp = 39 cents
since 1 dollar = 100 cent , so 1 cent = 0.01 dollar
So, Cost per stamp = $0.39
Total stamps = 25
Cost of 25 stamps = (Cost per stamp) x (Cost per stamp)
=$0.39 x 25
= $9.75
Hence, the price for the sheet of stamps = $9.75.
Gregg is on a diet . He started at 250 pounds . After 10 weeks he weighed 245 pounds and after 15 weeks he was 215 pounds . (Rates in pound per week) ?
a, = 5 +0.2(n-1)
f(n)
Answer:
a=4.8
Step-by-step explanation:
may be wrong tho
Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
4 graphs. Graph A is a curved line, graph b is horizontal, vertical, and then horizontal, graph C is a line with positive slope, graph D is a parabola.
Answer:
vertical line
Step-by-step explanation:
If it is possible to draw any vertical line (a line of constant x) which crosses the graph of the relation more than once, then the relation is not a function.
Answer:
the answer is b
Step-by-step explanation
pleaseeee hurryyy i needd helppp
How many solutions are there for this equation? Why?
2(m+2)=12−6m
Select the option that correctly answers both questions.
a. There is one solution, because the coefficients of the variables on both sides of the equation are the same.
b. There are no solutions, because the coefficients of the variables on both sides of the equation are different.
c .There is one solution, because the coefficients of the variables on both sides of the equation are different.
d. There are no solutions, because the coefficients of the variables on both sides of the equation are the same.
Answer:
C. There is one solution, because the coefficients of the variables on both sides of the equation are different.
Step-by-step explanation:
The solution is m = 1
~theLocoCoco
The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly.
340.1 ÷ 9.5 = 358
Answer:
35.8
Step-by-step explanation:
[tex]\frac{340.1}{9.5}[/tex] = 358
We know that our answer can never be greater than 358 since the dividend
is 340.1 and the divisor is 9.5;
Also,
Both values are to one decimal places and we can use this to solve the problem;
9 can divide 340 in about 37 place with a remainder of 7,
So, it is appropriate to make the solution 35.8
A rocket is 1.5miles above the earth in 20 seconds and is 8 miles above the earth in 2 minutes. What is the rockets rate of change in miles per seconds
Given:
A rocket is 1.5 miles above the earth in 20 seconds.
It is 8 miles above the earth in 2 minutes.
To find:
The rockets rate of change in miles per seconds.
Solution:
Let y be the height above the earth after x seconds.
A rocket is 1.5 miles above the earth in 20 seconds. So, the point is (20,1.5).
It is 8 miles above the earth in 2 minutes.
1 minute = 60 seconds
2 minutes = 120 seconds
So, the point is (120,8).
The rockets rate of change in miles per seconds is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{8-1.5}{120-20}[/tex]
[tex]m=\dfrac{6.5}{100}[/tex]
[tex]m=0.065[/tex]
Therefore, the rockets rate of change is 0.065 miles per seconds .
2. How much interest is earned on a principal of $200 invested at an interest rate of 9% for eight
years?
Answer:
Answer: 177
Step-by-step explanation:
The perimeter of the rectangle below is 94 units. Find the length of side WX.
Write your answer without variables.
Answer:
24units
Step-by-step explanation:
2(4y + 3) + 2(5y - 1) = 94
18y + 4 = 94
y = 5
WX = 5y - 1 = 5(5) - 1 = 24units
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First we need to find the value of y .
[tex]Perimeter = 2 \times ( \: (4y + 3) + (5y - 1) \: ) \\ [/tex]
[tex]Perimeter = 2 \times (9y + 2)[/tex]
[tex]Perimeter = 18y + 4[/tex]
Question told us that perimeter is 94 ,
Thus :
[tex]94 = 18y + 4[/tex]
[tex]18y + 4 = 94[/tex]
Subtract sides 4
[tex]18y + 4 - 4 = 94 - 4[/tex]
[tex]18y = 90[/tex]
Divide sides by 18
[tex] \frac{18y}{18} = \frac{90}{18} \\ [/tex]
[tex]y = 5[/tex]
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The face sides in the rectangular are same.
Thus :
[tex]VY = WX[/tex]
So ;
[tex] WX = 5y - 1[/tex]
[tex]WX = 5(5) - 1[/tex]
[tex]WX = 25 - 1[/tex]
[tex]WX = 24[/tex]
Done...
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Evaluate the function f(x) = -2x + 9 when x = 2
Answer:
I think x= 5
Step-by-step explanation:
because u put 2 where x is supposed to go so it would be -2(2)+9 and -2(2)=-4 and then add 9 and that =5
Marsha is driving 600 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
A. 120 miles
B. 240 miles
C. 300 miles
D. 360 miles
I need to know ASAP! Thanks ^^
Answer:
PQ=30
Step-by-step explanation:
Knowing that the segment has 3 parts that are 3:1:1 and sum up to 50, you could find how much 1 would equal by finding the total in relation to the ratio (doing 3+1+1) which gets you 5 parts. Then you can divide the total (50) by 5 to figure out how much one part would equal (10). Now, since you know that 1 part is equal to 10 and that PQ is 3 parts, you can find that PQ is equal to 3x10, or 30.
What is 708 divided by 67 with a remainder?
Answer:
its 10 with the remainder of 38
Step-by-step explanation:
The result of the division is remainder = 38 and quotient = 10
What is division?Division is the opposite of multiplying. When we know a multiplication fact, we can find a division fact: Example: 3 × 5 = 15, so 15 / 5 = 3. Also, 15 / 3 = 5.
Given that, 708 divided by 67
When dividing 708 by 67 will get 10 as quotient and 38 remainder
Hence, the result of the division is remainder = 38 and quotient = 10
Learn more about division, click;
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What is the value of the expression 4/7 ÷ 12/21
Answer:
Step-by-step explanation:
[(24÷12)⋅6]+3⋅8÷2
2.Evaluate the expression.
(26÷13)⋅(−7)+14−4
3.Simplify this expression.
9 + 3 × 2
15
21
24
48
4.What is the value of this expression?
6⋅[(32−8)÷4+2]
5.Simplify.
6y+5z+8y−3z
11y + 5z
14y +2z
14y + 8z
16yz
does this help