Answers
Answer:
Question 4: [tex]y=\displaystyle -\frac{4}{5}x[/tex]
Question 5: [tex]y=-5x-3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).
Question 4
1) Determine the slope (m)
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that pass through the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:
[tex]\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}[/tex]
Therefore, the slope of the line is [tex]\displaystyle -\frac{4}{5}[/tex]. Plug this into [tex]y=mx+b[/tex] as the slope (m):
[tex]y=\displaystyle -\frac{4}{5}x+b[/tex]
2) Determine the y-intercept (b)
On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (b) is 0. Plug this into [tex]y=\displaystyle -\frac{4}{5}x+b[/tex]:
[tex]y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x[/tex]
Question 5
1) Determine the slope (m)
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:
[tex]\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5[/tex]
Therefore, the slope is -5. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-5x+b[/tex]
2) Determine the y-intercept (b)
On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (b) is -3. Plug this into [tex]y=-5x+b[/tex]:
[tex]y=-5x+(-3)\\y=-5x-3[/tex]
I hope this helps!
Related Questions
what is the answer to this problem
Answers
Answer:
42
Step-by-step explanation:
ABC + CBD = ABD
3x+33 + 5x+13 = 70
Combine like terms
8x +46 = 70
Subtract 46 from each side
8x+46-46 = 70-46
8x = 24
Divide each side by 8
8x/8 = 24/8
x=3
We want to find ABC
ABC = 3x+33 = 3*3 +33 = 9+33 = 42
Answer:
[tex]m\angle ABC+\angle CBD=m\angle ABD[/tex]
[tex]\longrightarrow (3x+33)+(5x+13)=70[/tex]
[tex]\hookrightarrow 8x+46=70[/tex]
[tex]\hookrightarrow 8x=70-46[/tex]
[tex]\hookrightarrow 8x=24[/tex]
[tex]\hookrightarrow x=24/8=3[/tex]
[tex]so, m\angle ABC=3(3)+33=42[/tex]
-----------------------
Hope it helps...
Have a great day!!
The demand function for Widgets is given by the equation P = 14 – 0.39Q, and the supply function is
given by the equation P = 0.61Q + 12. Find the market equilibrium price for Widgets.
Answers
Answer:
Equilibrium price for widgets = 13.22
Step-by-step explanation:
At equilibrium, quantity demand, Qd = quantity supplied, Qs
Demand
P = 14 – 0.39Q
P - 14 = - 0.39Q
Q = (P - 14) / - 0.39
Supply
P = 0.61Q + 12
P - 12 = 0.61Q
Q = (P - 12) / 0.61
Qd = Qs
(P - 14) / - 0.39 = (P - 12) / 0.61
Cross product
(P - 14) * 0.61 = - 0.39 * (P - 12)
0.61P - 8.54 = - 0.39P + 4.68
0.61P + 0.39P = 4.68 + 8.54
P = 13.22
Check
Q = (P - 14) / - 0.39
= (13.22 - 14) / - 0.39
= -0.78 / -0.39
= 2
Q = (P - 12) / 0.61
= (13.22 - 12) / 0.61
= 1.22 / 0.61
= 2
Therefore,
Equilibrium price for widgets = 13.22
Equilibrium quantity = 2
Question 18 (4 points)
Which term completes the product so that it is the difference of squares?
(-5x-3)(-5x+____)
Answers
The price of a refrigerator is advertised at a special price of R2199. The original price was R2499. What percentage discount was given?
Answers
Answer:
12.01% discount
Step-by-step explanation:
R2499-100%
R2199-?
=R2199/R2499×100%
=87.99
100%-87.99%=12.01%
combine like terms and simplify (−3 + 4x2 − 4x) + (−1 − 3x2− 4)
Answers
Answer:
x² - 4x - 8
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(-3 + 4x² - 4x) + (-1 - 3x² - 4)
Step 2: Simplify
Combine like terms (x²): x² - 3 - 4x - 1 - 4Combine like terms: x² - 4x - 8Rose’s checking account has a balance of Negative 54 dollars. She makes no more withdrawals but deposits $15 per day in her account over the next five days. On the sixth day, she makes no deposits, but the bank charges a maintenance fee of $5. What is the balance in her account on the sixth day? $16 $26 $124 $134
Answers
Answer:
16
Step-by-step explanation:
Her account balance on the sixth day is sixteen. This is because -54 +75 is 21 then you subtract 5 and get 16. (15 times 5 is 75)
Answer:
16
Step-by-step explanation:
Starting balance: -54
Deposits +15
+15
+15
+15
+15
for a total of +75
-54+75 = 21
Maintenance fee: - 5
21 - 5 = 16
Solve for t. 4=1/2gt^2
Answers
Answer:
[tex]4=1/2gt^{2}[/tex]
Multiply equation by 2/g
4(2/g) = t²
t = √(8/g)
t = 2√(2/g)
[tex]answer:t=\sqrt{\frac{8}{g} }[/tex]
OAmalOHopeO
Determine the axis of symmetry and the vertex of the given function.
Answers
The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
please help me (geometry)
Answers
Answer:
True
Step-by-step explanation:
When two lines are parallel, the corresponding angles formed by the transversal (intersecting line) are congruent. This is called the corresponding angles postulate. It can be used in reverse: if two corresponding angles are congruent, then the non-transversal lines are parallel.
Answer:
Step-by-step explanation:
Angles 4 and 5 are corresponding; this means that they are sitting in the same places within their angle "bunch" for lack of a better word. We are then told that they are are congruent which means that they have the exact same measure. Corresponding angles can exist without being congruent, but because they are, that means that A and B HAVE to be parallel. So true.
Based on the slopes, what can you say about the relationship between DE and BC?
Answers
Answer:
DE and BC are parallel line segments.
Step-by-step explanation:
Edmentum-
Answer:
DE and BC are parallel line segments.
Step-by-step explanation:
Edmentum
The equation $y = -4.9t^2 + 42t + 18.9$ describes the height (in meters) of a ball tossed up in the air at 42 meters per second from a height of 18.9 meters from the ground, as a function of time in seconds. In how many seconds will the ball hit the ground?
Answers
Answer:
9 seconds
Step-by-step explanation:
y = -4.9t² +42t +18.9
if the ball will be on the ground then y =0 and we need to find t by solving the quadratic equation
-4.9t² +42t +18.9 = 0
t= (-b±√b²-4ac)/2a, quadratic formula
t= {-42±√[42²-4*(-4.9)(18.9)] }/ 2(-4.9) , use calculator to solve
t= (-42 ±√2134.44)/ -9.8, solve the square root
t= (-42 ±46.2)/-9.8
one t = (-42 - 46.2)/-9.8 = - 88.2/ -9.8 = 9 seconds
another t = (-42 + 46.2)/-9.8 = 4.2 / -9.8 ≈ - 0.43 seconds reject this answer
Using the given image and congruency markings ,type in the triangle that is congruent with the given triangle below.
Answers
Answer:
GHI is congruent to HGW
Step-by-step explanation:
what is the value of i^n if the remained of n/4 is 2
A. i
B. -i
C. -1
D. 1
Answers
Answer:
5
Step-by-step explanation:
Completing the Square
2. Solve the equation by completing the square. Show your work.
x2 – 30x = –125
Step 1: Add (b/2)^2 to both sides of the equation. (2 points)
Step 2: Factor the left side of the equation. Show your work. (2 points)
Hint: It is a perfect square trinomial.
Step 3: Take the square root of both sides of the equation from Step 2. (1 point)
Step 4: Simplify the radical and solve for x. Show your work. (1 point)
Answers
Answer:
See below
Step-by-step explanation:
Step 1
x^2 – 30x = –125
-30/2 = -15
(-15)^2 = 225
Step 2
x^2 -30x+225 = -125+225
(x-15)^2 = 100
Step 3
Take the square root of each side
sqrt((x-15)^2) = sqrt(100)
Step 4
x-15 = ±10
x-15 =10 x-15 = -10
x= 10+15 x = -10 +15
x = 25 x = 5
: Đẳng thức nào sau đây đúng ?
A. cos4x – sin4x = 2-cos2x B. cos4x – sin4x = 1+2sin2x
Answers
Step-by-step explanation:
A. cos4x-sin4x=2-cos2x
What is the area of the trapezoid below
Answers
Answer:
A = 60 in ^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) h where b1 and b2 are the lengths of the bases
The bottom base is 8+2+2 = 12
A = 1/2 ( 8 + 12) *6
A = 1/2( 20)6
A = 60 in ^2
A man earned $3000 the first year he worked. If he received a raise of $600 at the end of each year, what was his salary during the 15th year?
A) $8400
B) None of these
C) $11,400
D) $12,000
Answers
Answer:
$11,400
Step-by-step explanation:
3,000+14(600)=11,400
We know that it expands by $600 a year and we are looking for the salary during the 15th year. During the 15th year, it could be using the salary of the 14th year since it is during not after. We then add that to the base salary of $3,000 so then we have $11,400.
If a = -5, then 2a = -10
Answers
-10= -10
Verified
Answer:
That is correct
Step-by-step explanation:
To get from a to 2a we multiply by 2, so we also need to multiply -5 by 2:
2(a)=2(-5)
2a=-10
Happy learning!
--Applepi101
How many solutions will each system of equations have? y=-2x+5 and 2x + y = -7
Answers
Answer:
no solution
Step-by-step explanation:
Y=-2x + 5 equation 1
2x + y = -7 equation 2
2x + (-2x+5)=-7 substitute y value from equation 1 into equation 2
2x + -2x + 5 = -7
0 +5=-7
5=-7
no solution
Rate of Change: Based on the equation determine the rate of change by looking at the coefficients.
Hint: Remember: y=mx+b (m=slope)
1. y=-x+ 3
2. y=3x-1
3. y= 8 + x2
Answers
Answer:
1) -1
2) 3
3) 2
what is the value of x?
Answers
Answer:
x= 25 degree
I think this one is the answer
Question 4: 10 pts
Find whether the regular triangular pyramid has plane symmetry, symmetry about an axis, or neither.
Answers
Answer:2
Step-by-step explanation: but it was real
Answer:
Step-by-step explanation:
Reduce to simplest form
Answers
Answer:
-1 5/28
Step-by-step explanation:
-3/7 + (-3/4)
Get a common denominator of 28
-3/7 *4/4 = -12/28
-3/4 *7/7 = -21/28
-12/28 + -21/28
-33/28
-28/28 - 5/28
-1 5/28
hi! number one and number two are causing me trouble, so if anyone would like to answer either that’d be appreciated. thanks in advance:)
Answers
Answer:
[tex] \sqrt{x - 5} + 4[/tex][tex]3 \sqrt{x + 3} + 2[/tex][tex] - \sqrt{x + 2} - 2[/tex][tex] - 2 \sqrt{x} + 3[/tex]Type these function in for 1a,1b,2a,2b respectively and look for table of valuesStep-by-step explanation:
1a) The function will shift 5 units to the right, 4 units down,
1b).The function will shift 3 units to the left, stretched in the y direction by a scale factor of 3, and shift up 2 units.
2a). The function will shift 2 units to the left, reflect over the x axis, and shift 2 units down.
2b) The function will stretched in the y direction by a scale factor of -2 and shift the function up 3 units.
9514 1404 393
Answer:
1a. translation right 5, down 4
1b. vertical stretch ×3, translation left 3, up 2
2a. translation left 2, down 2
2b. reflect in x, vertical stretch ×2, translation up 3
3. f(x) = -4/(x+5)+4
4. f(x) = 1/2√(3(x +3)) -4
Step-by-step explanation:
Transformations of functions can be decoded by considering the transformation ...
g(x) = a·f((x-h)/b) +k
The transformations here are ...
vertical stretch by a factor of 'a'horizontal stretch by a factor of 'b'right shift by h unitsup shift by k unitsNote that either 'a' or 'b' can be a fraction less than 1, which results in a transformation usually described as a compression (not a stretch). If either of these is negative, then a reflection over the x-axis (a<0) or y-axis (b<0) is also involved. The stretch (or compression) and/or reflection is applied before the translation the way this is written.
_____
1a. translation right 5, down 4
1b. vertical stretch by a factor of 3, translation left 3, up 2
__
2a. translation left 2, down 2
2b. reflected across the x-axis, vertically stretched by a factor of 2, translated up 3
__
3. a=4, b=-1, h=-5, k=4
f(x) = -4/(x+5)+4
__
4. a=1/2, b=1/3, h=-3, k=-4
f(x) = 1/2√(3(x +3)) -4
_____
The graphs in the attachments show the various functions. (It takes a little work to verify that the graph in the last attachment has the appropriate compressions, but it does.)
Solve the system by elimination
− 7x+ 9y =− 18
4x+ 9y =− 18
Answers
Answer:
x= 0
y= -2
Step-by-step explanation:
− 7x+ 9y =− 18
4x+ 9y =− 18
7x- 9y =+ 18
4x+ 9y =− 18
11x=0
x=0
y=-2
ASAPPPPPPPPPPPPPPPPPPPPPPPPPP HELPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEE
Answers
Answer:
- 3 / 10
Step-by-step explanation:
- 9 / 10 - ( - 3 / 5 )
= - 9 / 10 + 3 / 5
= 3 / 5 - 9 / 10
= 6 / 10 - 9 / 10
= ( 6 - 9 ) / 10
= - 3 / 10
Pls help me in this question
Answers
Answer:
3
Step-by-step explanation:
since the diagonal are equal in length
6x-8=2x+4
4x=12
x=3
A) If {3,1,-1,-3} is the range of the function f(x) =2x+3/5, find its domain.
B) Which element in the range has pre-image 8 under the function of f:x->3x+1/5?
Answers
Answer:
64
Step-by-step explanation:
1=879=96889=
The cost price of an electric fan is Rs. 2800. If the shopkeeper marks its price 30℅ above the cost price and sells it at 10℅ discount, how much should a customer pay for it with 15℅ VAT?
Answers
Answer:
The customer will pay along with VAT = Rs 3767.4
Step-by-step explanation:
Cost price of an electric fan = 2800
Pirce after 30% above the cost price = 2800 + (30% of 2800 = 3640
Selling price after 10% discount = 3640 - (10% of 3640) = 3276
Now 15% VAT = 3276 x 15%
15% VAT = 491.4
The customer will pay along with VAT = 3276 + 491.4
The customer will pay along with VAT = Rs 3767.4
Instructions: Find the measure of the indicated angle to the nearest
degree
21
?
40
?=
Answers
Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.
Remember: SOH-CAH-TOA
Looking from the angle, we know the opposite side and the hypotenuse. Therefore, we should use the sine function.
sin(x) = 21/40
x = sin^-1(21/40)
x = 32 degrees
Hope this helps!
