Answer:
y = -1/2x - 9/2
Step-by-step explanation:
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
Answer:
1) -1
2) 3
3) 2
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)
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
Solve for t. 4=1/2gt^2
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
The price of a refrigerator is advertised at a special price of R2199. The original price was R2499. What percentage discount was given?
Answer:
12.01% discount
Step-by-step explanation:
R2499-100%
R2199-?
=R2199/R2499×100%
=87.99
100%-87.99%=12.01%
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?
Answer:
64
Step-by-step explanation:
1=879=96889=
Rose’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
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
what is the value of i^n if the remained of n/4 is 2
A. i
B. -i
C. -1
D. 1
Answer:
5
Step-by-step explanation:
Find XY given the base?
Answer:
XY = 12
Step-by-step explanation:
The midsegment XY is half the length of the base CE , that is
XY = [tex]\frac{1}{2}[/tex] × 24 = 12
: Đẳng thức nào sau đây đúng ?
A. cos4x – sin4x = 2-cos2x B. cos4x – sin4x = 1+2sin2x
Step-by-step explanation:
A. cos4x-sin4x=2-cos2x
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:)
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.)
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.
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+____)
Solve the system by elimination
− 7x+ 9y =− 18
4x+ 9y =− 18
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
Reduce to simplest form
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
How many solutions will each system of equations have? y=-2x+5 and 2x + y = -7
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
please help me (geometry)
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.
Determine which quadratic equation has two
non-real solutions.
Answer:
Hello,
answer C : -3x²-3x-2=0 (or 3x²+3x+2=0)
Step-by-step explanation:
A: delta=12²-4*2*18=0 not negative
B: delta= 5²+4*3*1=37 not negative
C: 3x²+2x+2=0, delta=2²-4*3*2=16-24=-8 is negative: roots are complex
D: delta 16²-4*2*2=240 not negative
What is the area of the trapezoid below
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
what is the answer to this problem
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!!
combine like terms and simplify (−3 + 4x2 − 4x) + (−1 − 3x2− 4)
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 - 8what is the value of x?
Answer:
x= 25 degree
I think this one is the answer
Pls help me in this question
Answer:
3
Step-by-step explanation:
since the diagonal are equal in length
6x-8=2x+4
4x=12
x=3
ASAPPPPPPPPPPPPPPPPPPPPPPPPPP HELPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEE
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
If a = -5, then 2a = -10
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
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?
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
Question 4: 10 pts
Find whether the regular triangular pyramid has plane symmetry, symmetry about an axis, or neither.
Answer:2
Step-by-step explanation: but it was real
Answer:
Step-by-step explanation:
Instructions: Find the measure of the indicated angle to the nearest
degree
21
?
40
?=
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!
Using the given image and congruency markings ,type in the triangle that is congruent with the given triangle below.
Answer:
GHI is congruent to HGW
Step-by-step explanation:
Determine the axis of symmetry and the vertex of the given function.
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 .
Based on the slopes, what can you say about the relationship between DE and BC?
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
