Answer:
Create equations in two or more variables to represent relationships between quantities (linear functions) Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Step-by-step explanation:
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=kSimplify the following expression (87x + 63y) - (6x + 32y)
Answer: 81x + 31y
Step-by-step explanation:
Write the equation of the line that passes through (-3, -20) and (1,4).
Answer:
y=6x-2
Step-by-step explanation:
The equation of the line is y=mx+b
FINDING SLOPE: To find the slope of a given line use the equation [tex]\frac{y2-y1}{x2-x1}[/tex]
So x1=-3, y1=-20 and x2=1, y2=4
Plug those numbers into the equation: [tex]\frac{4-(-20)}{1-(-3)}[/tex] and we get the slope which is 6.
FINDING Y-INTERCEPT: Then we find the y intercept by plugging in our points (you can choose) I will use (1,4) and solve.
y=6x+b
4=6(1)+b
b=-2
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
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:
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
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
please help ASAP!
i will give brainliest!! :)
Answer:
its c i took the test trust me
Step-by-step explanation:
Parallel or perpendicular 3x+5y=10 and 5x-3y=-6
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:
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
LESS THAN 5 MIN!!! WILL GIVE BRAINLIEST
Raise to the power:
(–xn)^4
Answer:
x^4n^4
Step-by-step explanation:
Answer:
[tex]n^{4} x^{4}[/tex]
I really hope this helps!
A 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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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.
8a+5 = 7b+4 = 5c + 2
Answer:
a= -5/8
b= -4/7
c= -2/5
Step-by-step explanation:
8a + 5 = 7b + 4 =5c + 2
I'm not sure what you want with this incomplete question, but I assume it's to find the values of a, b, and c.
Therefore, to find the value of a,
8a+5=0
8a= - 5
a= -5/8
7b + 4=0
7b = - 4
b= -4/7
5c + 2=0
5c= - 2
c= -2/5
Therefore, the values of a, b, and c are -5/8, -4/7 and -2/5
A TV that normally cost $800 is on sale for 33% off. There is a 6% sales tax on the purchase. What is the final cost of the TV?
Answer:
$568.16
Step-by-step explanation:
Answer: The answer to your problem is $568.16
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:
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
WILL MARKDOWN BRAINLIEST
Answer:
1. $539
2. $300
3. C
Step-by-step explanation:
May I have brainliest?
Many counties in Texas missed many school days in the fall of 2017 due to hurricanes
that year. A solution for how to make up those
days was to add time to each school day
for a portion of the year. It was decided that in order to make up a 6 hour school day, 10
minutes would be added to each day. How many extended days would be needed to
make up 3 school days?
⚠️PLEASE HELP FAST⚠️ Camie and Jorge each begin saving money
for a new computer. Camie saves $5 per
week plus $50 she receives for her birthday.
Jorge saves $7 per week. Which of the
following can be used to find w, the number
of weeks until Jorge has saved at least the
same amount as Camie?
A.7w = 5W + 50
B.50 + 5w < 7w
C.5W + 50 >_7w
D.7W >_5W + 50
Answer:
The answer is A
Step-by-step explanation:
Camie: $5x + $50 = $55 ( for now/i think)
Jorge: $7x
The equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
The correct option is (A)
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.
Given:
Camie saves $5 per week plus $50 she receives for her birthday.
Jorge saves $7 per week.
Now, Jorge have to achieve the same amount as Camie.
let w be the number of weeks.
Then equation can be represented as
7w = 5W + 50
Here 7w is amount by Jorge and 5W + 50 is amount of Camie.
Hence, the equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
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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! ☺
1. What are the different offensive and defensive strategies that are used in water polo?
2. Which strategies do you think are the most difficult to accomplish? Why?
3. Which strategies do you think are the easiest to achieve? Why?
Answer:
A defensive way is use all your might to jump when the ball is coming at you, because as you might know is it takes a lot of effert to jump in a pool, the gravity is very strong in the pool! Or if you get the ball you can throw and swing your arm as strong as you can a HIT that ball! You wanna hit it hard so the players on the other side of the pool don’t get the ball,instead it will go over them and you WIN!
Step-by-step explanation:
Hope this helped :)✨
A car travels 355 miles in 5 hours. How many miles did they travel per hour?
Answer:
71 miles in 1 hour
Step-by-step explanation:
divide the total amount of miles by the total amount of hours: 335/5
you get 71 mph
Answer:
71 miles per hour
Step-by-step explanation:
355 divided by 5 is 71
71 x 5 = 355
355 divided by 71 is 5
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
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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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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:
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
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) ?