The equation y=2(x-1)^2-5y=2(x−1)
2
−5y, equals, 2, left parenthesis, x, minus, 1, right parenthesis, squared, minus, 5 is graphed in the xyxyx, y-plane. Which of the following statements about the graph is true?
Answers
Answer:
(b) It is symmetrical about [tex]x = 1[/tex]
Step-by-step explanation:
Given
[tex]y = 2(x - 1)^2 - 5[/tex]
See attachment for options
Required
True statement about the graph
First, we check the line of symmetric
[tex]y = 2(x - 1)^2 - 5[/tex]
Expand
[tex]y = 2(x^2 - 2x + 1) - 5[/tex]
Open bracket
[tex]y = 2x^2 - 4x + 2 - 5[/tex]
[tex]y = 2x^2 - 4x -3[/tex]
A quadratic equation [tex]y = ax^2 + bx + c[/tex] has the following line of symmetry
[tex]x = -\frac{b}{2a}[/tex]
By comparison, the equation becomes:
[tex]x = -\frac{-4}{2*2}[/tex]
[tex]x = \frac{4}{4}[/tex]
[tex]x = 1[/tex]
Hence, the line of symmetry is at: [tex]x = 1[/tex]
(b) is true.
Answer: It is symmetrical about x=1
Step-by-step explanation:
Related Questions
Simplify this equation: 10f + 3 = 23 + 6f
Answers
Answer:
Step-by-step explanation:
10f + 3 = 23 + 6f
4f + 3 = 23
4f = 20
f = 5
Answer:
f = 5
Step-by-step explanation:
10f + 3 = 23 + 6f
Move the variable to the left-hand side and change its sign
10f + 3 - 6f = 23
Move the constant to the right-hand side and change its sign
10f - 6f = 23 - 3
Collect like terms and Subtract the numbers
4f = 23 - 3
4f = 20
Then divide both sides of the equation by 4
f = 5
A shopkeeper bought Rice cooker for Rs. 5000 and sold it to a customer for Rs. 5,085 with 13% VAT.
Find his profit or loss percent.
Answers
Answer:
number to get a better price
Answer:
if I'm not wrong,then this is the equation
Step-by-step explanation:
CP=5000
SP=5085
VAT=13℅
now,
VAT amount=VAT℅ OF SP
=13℅ OF 5085
=13/100*5085
=rs.661.05
again,
profit℅= SP-CP/CP*100℅
=85/500*100
=17℅ answer
The denominator of a fraction is 5 more than the numerator. if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4. find the original fraction.
Answers
Answer:
12/17
Step-by-step explanation:
Let
Numerator of the fraction = x
Denominator of the fraction = x + 5
The fraction is
x / (x + 5)
if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4.
x + 3 / (x + 5) + 3 = 3/4
x + 3 / x + 8 = 3/4
Cross multiply
(x + 3)4 = (x + 8)3
4x + 12 = 3x + 24
4x - 3x = 24 - 12
x = 12
Recall,
x / (x + 5)
= 12 / (12 + 5)
= 12/17
The original equation = 12/17
Help is needed here…
Answers
Answer: 2(−5x^2 +9)(5x^2 +9)
Step-by-step explanation:
Given: 162-50x^4
Factor out 2: 2(81-25x^4)
Rewrite: 2(9^2-(5x^2)^2)
Use difference of squares: 2(9-5x^2)(9+5x^2)
Reorder (if you need to) 2(-5x^2+9)(5x^2+9)
Answer:
6(27 - 8x^4)
Step-by-step explanation:
162 - 50x^4 /2
2(81 - 24x^4) /3
6(27 - 8x^4)
please help me rn i need it! same question on the 2 pictures!
Answers
Answer:
C. Gregory's graph is incorrect because it shows 2 inches of growth for each week, when it should show 0.75 inches of growth each week
Step-by-step explanation:
Given that the plant grows 1.5 inches (y) every 2 weeks (x), it means that:
Rate of change = y/x = 1.5/2 = 0.75 inches per week
The graph he should create should have a rate of change of 0.75. that is, it should show 0.75 inches growth for every week.
The graph shown above has a rate of change of 2 inches per week.
Thus, the graph is incorrect. It should be showing 0.75 inches of growth per week instead of 2 inches.
Rachel has 37 videos and decides to purchase 2 more each week. Write an equation describing this situation.
Answers
T = 2w + 37
Step-by-step explanation:
Let T represent the total amount of videos Rachel has after w weeks
Rachel already owns 37 videos
She purchases 2 more each week
Therefore, after w weeks, the total amount of videos Rachel has can be represented by the expression:
2w + 37
Then the total after w weeks can be modeled by the equation:
T = 2w + 37
Fiona went jewelry shopping and bought a bracelet for $1 367, a pair of earrings for $800, and a necklace for $4 500. What was the total amount of money she spent?
Answers
Answer: $1367 + $800 + $4500 = $6667
The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, –1)?
A.
4x – 2y = –6
B.
y = 2x – 5
C.
y = 3x + 4
D.
2x + y = –1
Answers
Answer:
i think the answer is y = 3x + 4
Step-by-step explanation:
:)
7TH GRADE MATH. PLS HELP
Answers
Answer:
192 squared centimeters
Step-by-step explanation:
area equal to 1/2 * base * perpendicular height
1/2*24*16
=192 squared centimeters
Answer: 192 cm squared
Step-by-step explanation:
Area of a triangle: 1/2bh
1/2x basex height
Base= 24 cm
Height: 16 cm
24x16=384
1/2x384= 192
192 cm squared
Hope this helps:) and brainliest would be appreciated thanks!
what is soil erosion
Answers
Answer:
Soil erosion is the natural process in which the topsoil of a field is carried away by physical sources such as wind and water. In this process, the soil particles are loosened or washed away in the valleys, oceans, rivers, streams or far away lands.
It occurs when the impact of water or wind separates and removes soil particles, causing the soil to deteriorate. Soil deterioration and low water quality due to erosion and surface runoff have become severe problems worldwide.
Consider the first month's sales data for the Midwest region.
Select the correct answer from each drop-down menu.
1. 85
2. 15
3. 37
4. 18
1. Significantly different from
2. Relatively close to
1. inconsistent
2. consistent
Answers
Answer:
The correct options are:
1. Significantly different from
1. Inconsistent
Explanation:
Sales Data for Midwest:
Midwest region total stores Sales equal to 63.1%. The percentage for current store is less than total stores therefore data in the given table is not consistent. The data given is relatively for the first month sales and is significantly different from the other stores.
Answer:
In the picture
Step-by-step explanation:
From Plato / Edm
Please help with this on the picture
Answers
a) 81
b) 16,807
c) 100
d) 78125
Step-by-step explanation:
a)
3^2 x 3^2
Step 1. Simplify the exponents
3^2 = 3 x 3 = 9
Step 2. Multiply
9 x 9 = 81
••••••••••••••••••••••••••••••••
b)
7 x 7^4
Step 1. Simplify the exponent
7^4 = 7 x 7 x 7 x 7 = 2401
Step 2. Multiply
7 x 2401 = 16,807
••••••••••••••••••••••••••••••••
c)
10^9 divided by 10^7
Step 1. Simplify the exponents
10^9 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000
10^7 = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000
Step 2. Divide
1000000000 divided by 10000000 = 100
••••••••••••••••••••••••••••••••
d)
5^8 divided by 5
Step 1. Simplify the exponent
5^8 = 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390625
Step 2. Divide
390625 divided by 5 = 78125
Factor 16p4 - 24p3. find the factor
Answers
Answer:
8p^3 ( 2p -3)
Step-by-step explanation:
16p^4 - 24p^3
8*2* p^3 *p - 3*8*p^3
Factor out the common terms
8p^3 ( 2p -3)
Help me with this anyone
Answers
Answer:
1/4
Step-by-step explanation:
b+-sqrt b^2-4ac all over 2a
Solve the equation by completing the square.
Answers
GEOMETRY QUESTION- Find m < h
Answers
9514 1404 393
Answer:
m∠H = 38°
Step-by-step explanation:
External angle GFD is the sum of internal angles G and H.
14x +1 = 89° +(5x -7)
9x = 81°
x = 9°
Then the measure of angle H is ...
angle H = 5(9°) -7° = 38°
If m
Please Help!!!!!!!!!!!!
Answers
Answer:
45 degrees
Step-by-step explanation:
the 2 angles are supplementary (add up to 180 degrees)
180-135=45
for every 8 dollar oliver earns, he saves 4.2 dollar. how much will he save if he earns 180?
Answers
Answer:
94.5
Step-by-step explanation:
Every 8 dollars means he saves 4.2 dollars
180 ÷ 8 = 22.5
22.5 × 4.2 = 94.5
Answer: 94,5
180:8 *4,2=22,5 *4,2 =94,5
Step-by-step explanation:
solve for w: 7w < -56
Answers
Lets solve
[tex]\\ \sf\longmapsto 7w<-56[/tex]
Take 7 to right side[tex]\\ \sf\longmapsto w<dfrac{-56}{7}[/tex]
Simplify[tex]\\ \sf\longmapsto w<-8[/tex]
Answer:
[tex]\boxed {\boxed {\sf w < -8}}[/tex]
Step-by-step explanation:
We are given an inequality and asked to solve for the variable w.
[tex]7w < -56[/tex]
In order to solve for w, we must isolate the variable. It is being multiplied by 7. The inverse of multiplication is division, so we divide both sides of the inequality by 7.
[tex]\frac {7w}{7} < \frac {-56}{7}[/tex]
[tex]w < \frac{-56}{7}[/tex]
[tex]w < -8[/tex]
w is less than -8 or w < -8.
x + 4 < 16 what the heck is the dang answer
Answers
Answer:
x < 12
Step-by-step explanation:
x +4 <16
x < 16 - 4
x < 12
Please Mark me brainliest
I need help with this
Answers
98 degrees
solve for missing side
Answers
Answer:
50.99
Step-by-step explanation:
Answer:
x = −38
Step-by-step explanation:
You have an angle: 50 and the opposite side: 10 and you need the hypotenuse.
For this problem, you need to use Sin
Sin (50) = 10/x
Multiply both sides by x
X (Sin(50)) = 10
Then divide by (Sin(50))
x = 10/ Sin(50)
x = −38
Find the midpoint of AC.
Answers
Answer:
(0+a)/2 , (0+a)/2
= (a/2, a/2)
Answered by GAUTHMATH
Which number sentence is not true?
A. |-20| < 20
B. |9| = 9
C. |-20| > |9|
D. |9| < |20|
Answers
|x| basically means the count of how far from zero. It will always be a positive number.
So the answer is A. |-20| < 20
because 20 is not greater than 20
find the length of AB
Answers
Answer:
AB=44.98298
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 12 = 44/AB
AB cos 12 = 44
AB = 44/ cos 12
AB=44.98298
In a biconditional statement, the output is true if at least one input is true.
-true
-false
Answers
help pls my mom will yell at me lol :) thanks
Answers
Answer:
The y intercept of f(x) is 8 and the equation of the horizontal asymptote is y = 0
Answered by GAUTHMATH
the question is in the picture
Answers
Answer:
∠CBA
Step-by-step explanation:
Answer:
<CBA
Step-by-step explanation:
The vertex has to be in the middle
<CBA
<ABC
or we can name it with just the vertex
<B
(x/a)+(x/b)=c; where a≠0, b≠0, a≠-b, solve for x
Answers
Answer:
I hope it is correct.. :)
Please zoom in on the question
I will mark brainliast
