Answer:
y = - 6(x - 3)² + 4Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
y = a(x - h)² + k
So the equation of the parabola with vertex (3, 4):
y = a(x - 3)² + 4
The parabola passes through point (2, -2) so if x=2 then y=-2
- 2 = a(2 - 3)² + 4
- 2 -4 = a(-1)² + 4 -4
- 6 = a
So, the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2):
y = - 6(x - 3)² + 4
Which proportional relationship has the greatest rate of change?
Answer:
The answer is A.
Step-by-step explanation:
A- slope is 7
B- slope is 3
C- slope is 4
D- slope is 6
The first option, [tex]y=7x[/tex] has greatest rate of change.
Any relationship which have greatest slope, that relationship will also have greatest rate of change.
First option is, [tex]y=7x[/tex] , compare with y = mx
Slope = 7
Slope of option B is, [tex]=\frac{12}{4} =3[/tex]
Slope of option C is, [tex]=\frac{8}{2}=\frac{16}{4} =4[/tex]
Slope of option C is, [tex]=\frac{2}{1}=\frac{4}{2}=2[/tex]
From slope of all options , it is observed that function y = 7x has greatest slope.
Hence, first option y = 7x has greatest rate of change.
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What’s the answer????
Answer:
It's so dark! There are some words I can't see.
Which system matches the graph below?
y = -4 x and y = 2 x - 3
y = -4 x and y = 2 x + 3
y = 4 x and y = 2 x - 3
y = -4 -x and y = 2 x - 3
Answer:
(a)
Step-by-step explanation:
[tex]y= -4^{x}[/tex] and y = 2x - 3
Which graph represents the equation y = 2x + 1?
Answer:
B, the second one.
Step-by-step explanation:
Take the equation, y=2x+1. 1 is the y-intercept, so that automatically eliminates some potential answer choices. Your slope is 2/1, so you would use rise over run to find the correct answer choice.
Answer:
B the second one
Step-by-step explanation:
I got right trust me frfr
5y= 1/2x -10 find slope and y intercept.
Answer:
Slope = 1/10
Y intercept = -2
Step-by-step explanation:
5y = 1/2x - 10
Divide both sides by 5
5y/5 = 1/2x - 10 /5
You will get y = 1/0x - 2
The x part is the slope and the whole number on the far right is the y intercept.
So the slope is 1/10
The y intercept = -2
Cindy tutors for $20 per hour and gets a $5 tip.
Part A
Which of the following functions represent this situation, if E is Cindy’s total earnings and h is the number of hours she works?
a
E(h) = 20h + 5
b
E(h) = 5h + 20
c
E(h) = 25h
d
E(h) = 20h
Answer:
I think it is b hopes this helps.
What is a one-hundred sided polygon called? Why?
Hectogon
In geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon's interior angles are 17640 degrees.
Step-by-step explanation:
This toy barn has floor dimensions of 2 in. by 3 in. The height of the roof is 0.5 in. If the volume of the barn is 16.5 in.3, what is the height of the rectangular prism section of the toy barn?
2 inches
2.5 inches
3 inches
3.5 inches
Answer:
2.5 inches
Step-by-step explanation:
woot
Answer:
2.5
Step-by-step explanation:
-3 + 4b + 6 = 9+ 4b - 6
O infinitely many solutions
O one solution
Ob=3
no solution
Answer:
Infinitely many solutions
Step-by-step explanation:
-3 +4b+6=9+4b-6
subtract 4b on both sides( canceling equal terms on both sides)
calculate the sum:
-3+6=9-6
-3+6= 3
9-6=3
3=3
Just number 4 plz help
Answer:
They are similar
Step-by-step explanation:
the rectangle have the same proportions
the sides of the big one are 4:6 and the small one is 2:3
they both simplify to 2:3 so that means they have the same proportions which means they are similar
Use quadratic formula to solve 16+8x+x^2=0
Answer: x=-4
Step-by-step explanation:
You start at 1,0. You move left 1 unit. Where do you end?
Answer:
(1-1,0) = (0,0)
Step-by-step explanation:
Which expression represents the sum of 31 and 104,
divided by 3?
Answer:
The answer is 45Step-by-step explanation:
Well all you really need to do is add 31 and 104 which is 135 then divide it by 3 and well you got the answer 45
The expression (31 + 104) / 3 is equal to 45.
The expression that represents the sum of 31 and 104, divided by 3, can be written as (31 + 104) / 3.
To calculate the value, we start by evaluating the sum of 31 and 104, which gives us 135. So, the expression becomes 135 / 3.
Dividing 135 by 3 yields a result of 45.
Therefore, (31 + 104) / 3 is equal to 45.
The expression simplifies the process of finding the sum of the two numbers (31 and 104) by first adding them together and then dividing the sum by 3. This calculation provides a concise representation of the desired arithmetic operation and its solution.
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Helpppppppppppppppppppppppp pleaseeeeeeeeeee
Answer:
true
Step-by-step explanation:
Answer:
im just starting 6th grade sheeeeeesh
Step-by-step explanation:
if i were u i would just guess its ok to get 1 thing wrong :)
Ok I need to know if I did this right so: 8^0 = 1 right (exponents) please help
Answer:
Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.
Step-by-step explanation:
Hope this helps!
Answer:
Yes you are correct. It would be one.
Step-by-step explanation:
Which statement is true about this equation?
-9(x + 3) + 12 = -3(2x + 5) - 3x
ОА.
The equation has one solution, x= 1.
OB.
The equation has one solution, x = 0.
OC. The equation has no solution.
OD.
The equation has infinitely many solutions.
Answer:
D
Step-by-step explanation:
-9x-27+12 = -6x-15-3x
0=0
D) the equation has infinitely many solutions
Help me please!!!!!!!!!!
There are 7 girls and 13 boys in a class at a Private
School. Of these students, 5 girls and 3 boys are in
the Running club. What percentage of the students
at this Private School are in the Running club?
Answer:
40%
Step-by-step explanation:
Number of girls = 7
Number of boys = 13
Total students = 7 girls + 13 boys
= 20 students
Running club
Number of girls = 5
Number of boys = 3
Total students in the running club = 5 girls + 3 boys
= 8 students
percentage of the students that are in the Running club = Total students in the running club / Total students
× 100
= 8/20 × 100
= 0.4 × 100
= 40%
Percentage of the students
at this Private School are in the Running club is 40%
A package of 5 pairs of insulated gloves cost $39.45 what is the unit price of the pairs of gloves
Answer:
$7.89
Step-by-step explanation:
divide the cost by the amount
could someone help me with this math question? its operations with scientific notations
Answer: 16312.5
Step-by-step explanation:
That took a lot of time. There you go.
Answer:
163125
Step-by-step explanation:
Divide the numbers then divide the exponents. Put them back together once done.
[tex]\frac{5.22}{3.2} = 1.63125[/tex]
[tex]\frac{10^{9}}{10^{4}} =10^{5}[/tex]
To get 163125, I moved the decimal point 5 places to the right since the exponent is 5.
[tex]1.63125*10^{5}=163125[/tex]
Evaluate Functions
Given f(x) = 2x + 6 and g(x) = 5x - 1
Evaluate f(-2)
Answer:
f(-2) = -4x + 6
Step-by-step explanation:
f(x) = 2x + 6
f(-2) = -2(2x) + 6
f(-2) = -4x + 6
Answer:
f(- 2) = 2
Step-by-step explanation:
To evaluate f(- 2), substitute x = - 2 into f(x), that is
f(- 2) = 2(- 2) + 6 = - 4 + 6 = 2
if i have 2 cookies but share 1/2 with my friends how many coookise i shared
Answer:
1 cookie
Step-by-step explanation:
2 times 1/2=1
How this works: Since your sharing 1/2, you technically sharing one half of 2 cookies. One half of 2 cookies is 1 cookie.
Answer:
1 coookise
Step-by-step explanation:
1/2 of 2 is 1
The measures of the angles of the triangle solve for x
Answer:
x = 8
Step-by-step explanation:
if the angle is equal to 36º that means (3x+12)º = 36º so simplify the equation and solve for x
3x+12 = 36
3x = 24
x = 8
Answer:
x = 8
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
3x + 12 + 54 + 90 = 180, simplify
3x + 156 = 180 ( subtract 156 from both sides )
3x = 24 ( divide both sides by 3 )
x = 8
1) Find f(g(x)) and
9(f(c)).
Given: f(x) = 5x; g(x) = x - 3
f(g(x))
Step-by-step explanation:
= f(g(x)) = g(f(x))
= f(x - 3) = g(5x)
= 5(x- 3) : 5x - 3
: 5x - 15
Which inequality does the graph represent?
A. y −x − 3
B. y > −x − 3
C. y ≤ −x − 3
D. y ≥ −x − 3
Answer:
y > −x − 3
Step-by-step explanation:
The sum of two consecutive even integers is 48 less than 3 times the largest integer. Find both integers algebraically.
Answer:
44 and 46Step-by-step explanation:
Let the integers be:
n and n + 2Then we have:
n + n + 2 = 3(n + 2) - 48Solving for n:
2n + 2 = 3n + 6 - 483n - 2n = 2 + 48 - 6n = 44So the numbers are 44 and 46
What the slope of (19, -12) (5, 16)
Answer:
-1/2
Step-by-step explanation:
Slope is ∆y/∆x
i.e y2-y1/x2-x1
16-(-12)/(5-19)
28/-14
s = -2
write the ratio in the simplest form
Answer:
what's the ratio?
Step-by-step explanation:
Answer:
whats the ratio
Step-by-step explanation:
What would the slope for this graph be?
Answer:
3/1
Step-by-step explanation:
you just start at the point where the line intersects the corner
List two main differences between an expression and an equation
Answer
A expression is an number or a variable and a combination of numbers in variables and operation symbols. A equation is made up of two expressions or connected by an equal sign.
Step-by-step explanation: