vertex at
(
−
1
,
−
4
)
Explanation:
Given:
y
=
2
x
2
+
4
x
−
2
Convert the given form into "vertex form"
y
=
m
(
x
−
a
)
2
+
b
with vertex at
(
a
,
b
)
XXX
y
=
2
(
x
2
+
2
x
)
−
2
complete the square
XXX
y
=
2
(
x
2
+
2
x
+
1
)
−
2
−
2
XXX
y
=
2
(
x
+
1
)
2
−
4
XXX
y
=
2
(
x
−
(
−
1
)
)
2
+
(
−
4
)
which is the vertex form with vertex at
(
−
1
,
−
4
)
graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0
The equation (x – 5)2 = –2(y + 1) represents a parabola. Complete the statements describing the graph.
The vertex is
(5,1)
(5,-1)
(-5,1)
(-5,-1)
The graph opens
up
left
right
down
Answer:
(5,-1)
Step-by-step explanation:
TAKE ONE SIDE
(X-5)2=0
2X-10= 0
2X=10
X=10/2
X=5
THEN TAKE OTHE SIDE
-2(y+1) =0
-2y-2=0
-2y=2
y=2/-2
y=-1
So the answer is (5,-1)
And it should be in right down
(-5,1) , the graph opens down
What is an equation?
'An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.'
.Given equation: 2(x-5) = -2(y+1)
Evaluating left-hand side,
⇒ (x-5)2 = 0
⇒2x-10 = 0
⇒2x = 10
⇒x =10/2
⇒x = 5
Evaluating RHS,
⇒-2(y+1) = 0
⇒-2y-2 = 0
⇒-2y = 2
⇒y = 2/-2
⇒y = -1
Hence, we can conclude the vertex is at (-5,1) and the graph opens down.
Learn more about graphs here: https://brainly.com/question/4074088
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Solve the equation ƒ - (-4) = 12.
ƒ = -8
ƒ = 8
ƒ = 16
ƒ = -9
???
Prove the following statement: If the x- and y-intercepts of a line are identical nonzero numbers, the line must have a slope of -1.
What is the x-intercept you are using?
What is the y-intercept you are using?
Show what you did to prove the slope is -1
Answer:
Step-by-step explanation:
Proof:
If:
x intercept is at a number nonzero "a"
so the point where it intersects the x-axis is at (a,0)
y-intercept is at the same nonzeronumber "a"
so the point where it intersects the y-axis is at (0,a)
Then:
slope between point (a,0) and (0,a) is m= (y2-y1)/(x2-x1) = 0-a/a-0=-a/a= -1
x intercept is 2 (for example)
so the point where it intersects the x-axis is at (2,0)
y-intercept is 2
so the point where it intersects the y-axis is at (0,2)
slope between point (2,0) and (0,2) is m= (y2-y1)/(x2-x1) = 0-2/2-0=-2/2=-1
If the value of y varies directly with x, which function represents the relationship between x and y when y = 16/5
and X=20
A. Y=25/4x
B. Y=116/5x
C. Y=4/25x
D. Y=64x
Answer:
C. Y=4/25x
Step-by-step explanation:
If y varies directly as x, tis is expressed as;
y ∝ x
y = kx
k is the constant of proportionality
Goven
y = 16/5 and x = 20
16/5 = 20k
16 = 100k
k = 16/100
k = 4/25
Substitute k = 4/25 into the original equation
y = kx
y = 4/25 x
Hence the required expression is y = 4/25 x
please be fast ill give brainliest How many solutions does the system have? y=1/2x-1 and y=-x+5
Answer:
(4, 1)
Step-by-step explanation:
since y=1/2x-1 in the first equation, you can substitute it into the second one:
1/2x - 1 = -x + 5
then add x to both sides:
3/2x - 1 = 5
then add 1 to both sides:
3/2x = 6
then divide both sides by the fraction to get:
x=4
then you substitute 4 into y=1/2x - 1
y = 1/2(4)-1
y = 1
so your answer is x=4 and y=1
If there are 2.54 centimeters in an inch and 12 inches in a foot, how many centimeters in 3 feet
Answer:
91.44
Step-by-step explanation:
Answer:
3 ft = 91.44 cm
Step-by-step explanation:
We want to convert 3 ft to cm.
So we need a conversion factor.
Multiplying 3 ft by (12 in / 1 ft results in 36 in (this is equivalent to 3 ft).
Next, we convert 36 in to cm:
36 in 2.54 cm
-------- * ------------- = 91.44 cm
1 1 in
what word problem would fit for 7x+10=-3x-2
Answer:
A number is multiplied by 7 and the added to 10 and it is equal to when -3 is multiplied by the same number and then 2 is taken away. Find the number.
Step-by-step explanation:
interpretation: 7x+10=-3x-2
Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on Monday and 65 blankets on Wednesday. Write and solve an inequality to find out how many blankets the team must donate on Friday to make or exceed their goal?
True or False
1. We find the x-intercepts of a function fby evaluating f(0).
2. The solutions of a function are the first coordinates of the
x-intercepts of the function.
3. We can use completing the square to solve any quadratic equation.
4. The function f(x)=-3(x+4)2-5 has a maximum value.
Could I get help with this ?
Answer:
top is -2,4 and bottom is 3,-2 ??
hope that what u need
Step-by-step explanation:
???
30 POINTS PLEASE help
Answer:
m= -1/7
b=2
Step-by-step explanation:
4/5 divided by 1/5 in unit form
Answer:
answer to your question is 4
A local little league has a total of 60 players, of whom 20% are right-handed. How many right-handed
players are there?
There are right-handed players.
Answer:
12
Step-by-step explanation:
Step one:
given data
total players in the league
60
we are told that 20% are right-handed.
Required
The number of right-handed players
Step two:
=20/100*60
=0.2*60
=12
There are 12 right-handed players.
How to find the volume for a right triangle
Answer: length times width divided by 2
Step-by-step explanation: it's half a rectangle
Solve the Compound Interest Formula for time given:
250,000 = 12,000e^.125t
Given the equation f(t) = 225(1.23)
What is the rate of growth or decay?
%
What is the initial value?
Answer:
This function doesn't make sense, unless you make it f(t)=225(1.23)^x. I will assume that you forgot to add the x squared. The rate of decay is 23%. Since the base is between 1 and 0, it is an exponential decay and you'll need to subtract the r-value with 1. (If it were an exponential growth, you would have to add 1.) The initial value or the a-value is 225.
Consider the equation 6*e^{0.25t}=9
Solve the equation for t. Express the solution as a logarithm in base-e.
Approximate the value of t. Round your answer to the nearest thousandth
Answer:
t = ln1.5/0.25
t = 1.622
Step-by-step explanation:
Gives the equation, 6*e^{0.25t}=9
We are to find t
6*e^{0.25t}=9
e^{0.25t}=9/6
e^{0.25t}= 1.5
Apply ln to both Sides
ln( e^{0.25t) = ln1.5
0.25t = ln1.5
t = ln1.5/0.25
t = 1.622
The table below shows the distribution of students by age in a high school
with 1500 students. What is the probability that a randomly chosen student is
14 years old?
Age
13, 14, 15, 16, 17, 18
Number of Students
15,375,450,420,225,15
A. 0.15
B. 0.30
C. 0.28
D. 0.25
Answer: 28
Step-by-step explanation:
Answer:
it is .28
Step-by-step explanation:
ayepexs
whats 9+10 ? ;) im dumb so i dont know simple mafs
Answer:
the answer is 100% = 21
Step-by-step explanation:
find the slope please help!
Answer:
-3/4
Step-by-step explanation:
Get the coordinates of the two points and use the slope formula to find the slope.
We'll call the points point A and point B.
Point A's coordinates are (-3,1) and point B's coordinates are (1,-2)
Now, plug the numbers into the slope formula
Slope formula is: y2-y1/x2-x1
-2-1/1--3
-3/4
1/3 + a = 5/4
A=? ..........................................................
simplify 4 - 3(-2a + 2) please!
Answer:
6a - 2
Step-by-step explanation:
4 - 3(-2a + 2)
4 + 6a - 6
6a - 2
2x+3y
help me please
Answer:
2 x + 3 y
Step-by-step explanation:
ILL MARK AS BRAINLIEST!! PLEASE HELP FAST!!
Answer:
neither
Step-by-step explanation:
Find the slope on the graph
Evaluate 2k + 3m if k= 1 and m=5
17
2(1) + 3(5) = 2+15 = 17
Choose the scenario that describes a proportional relationship.
Miguel earns $7.50 per hour while babysitting.
A hotel charges a flat rate of $12.00 to park in their parking lot.
A cellphone plan is $25 plus $0.05 per megabyte, MB, of data usage.
Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.
Answer:
Raphael sells paintings for $200 each at a market, but has to pay $100 to reserve a table. :)
Step-by-step explanation:
The scenario that describes a proportional relationship is D; Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.
What is directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex]where that middle sign is the sign of proportionality.
This inversely proportional relationship is denoted by;
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
Thus, the scenario that describes a proportional relationship is D; Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.
Learn more about directly inversely proportional relationship variable here:
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Plzzz help. Giving 20 pts
Answer:
The ratio of the similar triangles is 6/4=3/2. Since BC-YZ in this case, 3*3/2=9/2=4.5 which is B.
Answer:
b
Step-by-step explanation:
B is a number larger than 1
Answer:
b= infinity
Step-by-step explanation:
Because is b>1 than b can be 2, 3, 44, 100, 1000, 100000000213981623 and higher. There is no way to find the exact number though.
Evaluate 2(5 + x2) + y if x = 3 and y = 2
Answer:
26
Step-by-step explanation: