Answer:
y=3(x-2)²+49
Step-by-step explanation:
vertex-form is given as y=a(x-h)²+k, where (h,k) is the coordinate of the vertex
we are given the function in standard form, which is:
y=ax²+bx+c
our function is:
3x²-12x+61
the value of a is given as the value of the coefficient in front of the squared term (in this case, it's 3)
here's the function so far in vertex form:
y=3(x-h)²-k
now, we need to find the vertex
to find h, we can use the formula (-b/2a)
the value of b is given as the value of the coefficient in front of the linear term (in this case, it's -12)
and we know from above that a=3
substitute what we know into the formula:
h=-b/2a
h=12/2(3)
h=12/6
h=2
so h is 2
*Please note that when we substitute it into the function, it's -2
so here is our function so far:
y=3(x-2)²-k
now to find k, which is given in the formula c-(b²/4a)
we know from above that a=3, b=-12
c is the value of the constant (term without a variable). In this case, it's 61
once again, substitute what we know into the equation:
k=61-((-12)²/4(3))
k=61-(144/12)
k=61-12
k=49
therefore the function will be:
y=3(x-2)²+49
Hope this helps!
Max wants to buy shirts that cost $8 each. He also wants to buy a pair of sneakers for $39. A. Write an inequality that represents the maximum number of shirts he can buy if he has $75
Answer:
a) $39+8x<75$, b) no, c) at most 4 pairs
Step-by-step explanation:
please give me explanation please please please solve it
i hope this was helpful!
Elizabeth plans to decorate T-shirts to sell at a crafts fair.
The decorations for all of the T-shirts cost $52.50, and the
T-shirts cost $6.50 each. Which equation shows the total
cost, C, of decorating x T-shirts?
А
C = 6.50 x
B
C = 6.50x + 52.50
C = 6.50 +52.50
C = 52.50x+6.50
what is the value of a when we rewrite 8^x as a^-x/9
Answer:
[tex]a = \frac{1}{134217728}[/tex]
Step-by-step explanation:
Given
[tex]8^x = a^{-x/9}[/tex]
Required
Find a
Take log of both sides
[tex]log(8^x) = log(a^{-x/9})[/tex]
Apply law of logarithm
[tex]x\ log(8) = (-x/9) log(a)[/tex]
Divide both sides by a
[tex]log(8) = -\frac{1}{9} log(a)[/tex]
Multiply both sides by -9
[tex]-9\ log(8) = log(a)[/tex]
Apply law of logarithm
[tex]log(8^{-9}) = log(a)[/tex]
Cancel out log
[tex]8^{-9} = a[/tex]
Rewrite as:
[tex]a = 8^{-9}[/tex]
Apply law of indices
[tex]a = \frac{1}{8^9}[/tex]
[tex]a = \frac{1}{134217728}[/tex]
Brian had 24 class fair tickets to sell he sold 3/4 of the tickets how many tickets did Brian sell
Answer:
18 is the correct answer hope it helps
The maximum temperature on the planet Mercury is 950°F. The minimum temperature is -346°F. What is the difference in temperatures?
No explanation needed, I just need the answer. Spams will be reported.
Answer:
604°F
Step-by-step explanation:
hope this helps have a nice day :)
Find the length of the arc. Round your answer to the nearest tenth.
Answer:
7.1 in
Step-by-step explanation:
Given:
θ = 45°
Radius (r) = 9 in.
Required:
Length of the arc
Solution:
Arc length = θ/360 × 2πr
Plug in the values
Arc length = 45/360 × 2 × π × 9
Arc length = 7.06858347 = 7.1 in (nearest tenth)
WILL MARK BRAINLIEST FOR WHO EVER ANSWER IT FIRST
Answer:
B or D is correct i think it's b most likey
Step-by-step explanation:
Helppppp plsssssssssssssssssssssss thanks シ
Step-by-step explanation:
False. the number is the x coordinate
True. the x-axis is horizontal
False. 0,0 is called the origin.
Plz help I only have 5 more minutes to complete this!
Answer:
The quotient is 83
Step-by-step explanation:
More details in the pic attached:
Answer:
omg i suck at annotating on mac
Step-by-step explanation:
8,3
8,3
6,8,0
2,5,5
0
Which value below is equivalent to the expression 5 – 2(3 + 9) + 4?
A. -23
B. -15
C. 33
D. 40
Answer:
40
Step-by-step explanation:
5-2(3+9)+4
5-2(12)+4
3(12)+4
36+4
40
how do I solve pic rel? Online calculators keep saying the result is -1 but they don't show any steps which is confusing
thx in advance!
Answer:
4√2 = 5.657
9 - 5.657 = 3.343
√3.343 = 1.828
2√2 = 2.828
1.828 - 2.828 = -1
Answer:
I also got -1 doing it on my calculator
Step-by-step explanation:
i first converted it to exponent form to get rid of the radical
(9 - 4(2)^1/2 )^1/2 - 2(2)^1/2 solve inside the first parenthsis
(9 - 4(1.414)^1/2 - 2(2)^1/2
(9 - 5.656)^1/2 - 2(2)^1/2 √2 times 4
(3.343)^1/2 - 2(2)^1/2 9 - √2 times 4
1.828 - 2(2)^1/2 √(9 - √2 times 4)
1.828 - 2(1.414) √(9 - √2 times 4) - 2√2
1.828 - 2.828 √(9 - √2 times 4) - 2√2
-1
please answer illgive BRAINLIEST
Answer:
1747.8
Step-by-step explanation:
V=pi*r^2*h
V = 3.14*(12.1)^2*3.8
=1747.8
Factor the quadratic equation 10:22
50% + 60 into the following format: (x + a) (x - b).
Answer:
The answer is "[tex]10((x-3)(x-2))\\\\[/tex]"
Step-by-step explanation:
[tex]\to 10x^2-50x+60\\\\\to 10(x^2-5x+6)\\\\\to 10(x^2-5x+6)\\\\\to 10(x^2-(3+2)x+6)\\\\\to 10(x^2-(3+2)x+6)\\\\\to 10(x^2-3x-2x+6)\\\\\to 10(x(x-3)-2(x-3))\\\\\to 10((x-3)(x-2))\\\\[/tex]
8.- Newton comprobó que, en la interacción de dos cuerpos, las fuerzas siempre aparecen en pares; ¿y la acción de un
cuerpo sobre otro, siempre provocan una reacción de igual magnitud y dirección opuesta de que ley se está hablando?
me ayudan por favor
Answer:
puedes mandar una foto?
Step-by-step explanation:
15. Find the surface area of the figure.
Answer:
Well personally I would use your fomula because its different ways to do this and is taught differnet but the way I was taught was to add up all the sides and multiply
Step-by-step explanation:
add all of them
Solve for x
X= ?
Linear Pairs of Angles
Answer:
x= 24
I hope it's helps you
Identify segment AB all possible ways.
9.
10.
11.
12.
See attached
Find the length of each trapezoid.
Answer:
EF = 27
Step-by-step explanation:
(x + 34)/2 = 2x - 13
x+ 34 = 4x - 26
3x = 60
x = 20
EF = 2(20) -13 = 27
Answer:
11. EF = 27
Step-by-step explanation:
11.
Median of a trapezoid:
2x - 13 = 20 + x + 14
2
2(2x - 13) = 20 + x + 14
4x - 26 = 34 + x
4x - x = 34 + 26
3x = 60
x = 20
EF = 2x - 13
EF = 2(20) - 13
EF = 40 - 13
EF = 27
A submarine is searching for underwater features. It is accompanied by a small aircraft
and an underwater robotic vehicle.
At one time, the aircraft is 200 m above the surface, the submarine is 55 m below the
surface, and the underwater robotic vehicle is 227 m below the surface.
a.
What is the difference in height between the submarine and the aircraft?
Answer:
255 m
Step-by-step explanation:
From the given question, the surface of the water body is the reference point. And this point is assumed to be 0, so that any distance above it is positive, and any distance below is negative. This is synonymous to the number line system.
Thus,
For the aircraft, its height = +200 m
For the submarine, its depth = -55 m
So that the difference between the submarine and aircraft can be determined as;
200 - (-55)
= 200 + 55
= 255 m
The distance between the submarine and aircraft is 255 m.
An agricultural scientist collected data to study the relationship between the amount of nitrogen added to a cornfield and the number of bushels of
com produced. This is the regression line of the data, where y is measured in bushels of corn and is measured in pounds of nitrogen
y=0.43x + 28.5
What is the meaning of the slope of the regression line?
O A For every 0.43 pounds of nitrogen added to the field, the amount of corn yielded increases by 28.5 bushels.
OB. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels
OC. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 28.5 bushels
OD. For every 28.5 pounds of nitrogen added to the field, the amount of com yielded increases by 0.43 bushels.
Answer:
A
Step-by-step explanation:
Because everything else is wrong trust me
What is the value of x? Please explain how you got to this answer so I can answer similar questions.
Answer:
4.13 m
Step-by-step explanation:
using Pythagoras theorem
Please help!!!
No links
Answer:
D Not similar
Step-by-step explanation:
For similar triangles the sides are always in proportions.
Here two sides are in proportion but third side isn't. So triangles are not similar.
pls it's due today.
Answer:
43.65 cm squared
Step-by-step explanation:
4x + 4/4x - 32
Solve for x
Answer: 26
Step-by-step explanation:
Angles on a straight line add to 180 degrees, so:
[tex]4x+4+4x-32=180\\\\8x-28=180\\\\8x=208\\\\x=26[/tex]
The value of x is 26.
What is Straight line?A straight line is an endless one-dimensional figure that has no width
An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint.
The angles add up to 180 degrees in a straight line.
The two angles are 4x+4 and 4x-32
4x+4+4x-32=180
Add the like terms
8x-28=180
Add 28 on both sides
8x=180+28
8x=208
Divide both sides by 8
x=26
Hence, the value of x is 26.
To learn more on Straight lines click:
https://brainly.com/question/29223887
#SPJ2
Tickets Sold Prize Money
100 $23
400 $98
800 $198
1,000 ?
1,200 $298
223 is the answer its a pattern the pattern is 23 98 98 23 98 the last two digets is what u focus on
Does Anyone know how to solve this??
Answer:
column X columnY columnZ
Row 1 1 -3. -6
Row 2 0. -2. -2
Row 3. -3. 4. 5
please answer and also give a step-by-step explanation
A direct variation exist between x and y. When x=4, y=3. What is the value of y when x=10
Answer:
[tex]y = 7.5[/tex]
Step-by-step explanation:
Given
Direct variation implies that:
[tex]y = kx[/tex]
Where k is the constant of variation.
[tex]x=4; y=3[/tex]
Required
Find y when [tex]x = 10[/tex]
[tex]y = kx[/tex]
Make k the subject
[tex]k = \frac{y}{x}[/tex]
For: [tex]x=4; y=3[/tex]
[tex]k = \frac{3}{4}[/tex]
For: [tex]x = 10[/tex]
[tex]k = \frac{y}{x}[/tex] becomes
[tex]k = \frac{y}{10}[/tex]
Substitute [tex]k = \frac{3}{4}[/tex]
[tex]\frac{3}{4} = \frac{y}{10}[/tex]
Make y the subject
[tex]y = \frac{3}{4} * 10[/tex]
[tex]y = \frac{3* 10}{4}[/tex]
[tex]y = \frac{30}{4}[/tex]
[tex]y = 7.5[/tex]
-10+3X<4
Having trouble on this one.
Answer:
=4
Step-by-step explanation:
4 is the correct answer