Answer:
ANSWER IS BELOW
Step-by-step explanation:
f
(
x
)
=
−
1
2
x
2
+
3
x
−
1
2
Explanation:
A quadratic function can be written in vertex form as:
f
(
x
)
=
a
(
x
−
h
)
2
+
k
where
(
h
,
k
)
is the vertex and
a
is a constant multiplier.
In our example the vertex
(
h
,
k
)
is
(
3
,
4
)
, so we can write:
f
(
x
)
=
a
(
x
−
3
)
2
+
4
Given that this passes through the point
(
1
,
2
)
, we must have:
2
=
a
(
1
−
3
)
2
+
4
=
4
a
+
4
Subtract
4
from both ends to get:
−
2
=
4
a
Divide both sides by
4
and transpose to find:
a
=
−
1
2
So our quadratic function can be written in vertex form as:
f
(
x
)
=
−
1
2
(
x
−
3
)
2
+
4
We can multiply this out and simplify as follows:
f
(
x
)
=
−
1
2
(
x
−
3
)
2
+
4
f
(
x
)
=
−
1
2
(
x
2
−
6
x
+
9
)
+
4
f
(
x
)
=
−
1
2
x
2
+
3
x
−
9
2
+
4
f
(
x
)
=
−
1
2
x
2
+
3
x
−
1
2
find the cost of operation of a central air conditioner that uses 3.5 kilowatts and runs for 12 hours a day for one week at a cost of 9.53¢ per kilowatt-hour.
Answer:2.561,664¢ or roughly 25.61$.
Step-by-step explanation:
So, the air conditioner will cost 3.5 * 9.53 ¢ = 30.496 ¢ per hour running.
That means 30.496¢ * 12 = 365.952¢ or ≈3.65$ for a day.
Or 365.95¢ * 7 = 2.561,664¢ or ≈25.61$ for a week.
I'm vietanh and have fun studying!
Use algebraic notation to describe how to transform the blue function into the red function. F\left(x\right)-1f(x)−1 f\left(x-1\right)f(x−1) f\left(x+1\right)f(x+1) f\left(x\right)+1f(x)+1
In geometry, transformations are used to move a point or points from one position to another. The notation that describes how the blue function is transformed into the red function is -f(x)
I have attached the graph of both functions.
From the attached graph, we can see that the blue function is reflected over the x-axis to produce the red function.
Let:
[tex]f(x) \to[/tex] Blue
[tex]g(x) \to[/tex] Red
The transformation of reflection across the x-axis is:
[tex]g(x) = -f(x)[/tex]
Hence, the notation that describes how the blue function is transformed into the red function is -f(x)
Read more about function transformation at:
https://brainly.com/question/12865301
The question is "the numbers 4 and 9 both have the exactly three factors, Find two numbers more that have the exactly three factors"
Gwen is attending a school orchestra concert. She sees her math teacher seated 3 meters ahead of her and her science teacher seated 4 meters to her right. How far apart are the two teachers?
I need help on number 19 and 20
7 is the bracket from the quotient of 48 divided by the sum of 5 and difference of 11 and 8
six boys went on a camping trip . their equipment weight was138 kg if the equipment was divided equally in weight how much did each boy carry
Answer:
138 kg / 6 = 23 kg per boy
Find the area and perimeter.
Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex.
24x; 10x + 8
12x; 7x + 3
24x; 5x + 14
12x; 5x + 14
The area of triangle will be 12x and perimeter of triangle will be 5x + 14.
The sides of a triangle which is divided into two parts i.e., a right angle triangle and a non-right angle triangle is given in figure.
We have to find area and perimeter of triangle using the data given.
What are the area and perimeter of a triangle ?
The area of triangle is A = [tex]\frac{1}{2}[/tex] × b × h and perimeter is sum of all sides i.e., P = a + b + c.
As per the fig. given in question ;
h = 3x
b = 8
The area of the given triangle will be ;
A = [tex]\frac{1}{2}[/tex] × b × h
A = [tex]\frac{1}{2}[/tex] × 8 × 3x
A = 24x ÷ 2
A = 12x
The perimeter of triangle will be sum of all sides i.e.,
P = x + 9 + 4x - 3 + 8
P = 5x + 17 - 3
P = 5x + 14
Thus , the area of triangle will be 12x and perimeter of triangle will be 5x + 14.
To learn more about area and perimeter of triangle click here ;
https://brainly.com/question/26314869
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What’s the square root of 8
(20 points)
Answer:
answer is 2
Step-by-step explanation:
can you mark me brainlist
HELP ILL GIVE BRAINLIEST!!
Answer:
What can I help you with
Answer:
Step-by-step explanation:
Jamie needs 1/5 meter of ribbon to decorate the border of a photo frame. Enter the number of photo frames that can be decorated using 4/5 meter of ribbon
Answer:
4 photo frames
Step-by-step explanation:
Hope it will help you
it's 4 pieces of ribbon .
hope it's help you.........!!!!!!!!!!!!!!!!!!!
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CORRECT ANSWER ONLY PLEASE!!! The table of values represents the function g(x) and the graph shows the function f(x).
Answer: Choice C. f(x) and g(x) have a common x intercept.
Explanation:
The graph of f(x) shows it has an x intercept at x = 2, since this is one location where the curve crosses the x axis.
The g(x) table shows that x = 2 and y = 0 pair up together. This is the location (2,0). This location is the exact same x intercept as described earlier.
This is the common x intercept the two functions share. This means the two functions cross or intersect at this location.
Which of the following is false? Explain. A. No integer is an irrational number. B. Every integer is a rational number. C. Every integer is a whole number.
Answer:
C.
Step-by-step explanation:
integer is a positive and negative number. integer is not a whole number because negative is not part of the whole number.
-4-6 answer now pls iwill mark yall brainliest
Answer:
-10
Step-by-step explanation:
the answer to the question is-10
Answer:
If it's addition then the answer is
-10
Find the perimeter of a triangle with sides
10 inches, 5 inches, and 11 inches in length.
Answer:
Answer is D
Step-by-step explanation:
Basically, when finding the perimeter you add up all the sides. So 10 + 5 + 11 which equals 26.
how to do (-5+20) / 5 (-2) / is divide
Answer:
hope this helps you
have a great day
Answer:
-6
Step-by-step explanation:
(/) is divide right?
[tex]( - 5 + 20) \div 5( - 2)[/tex]
[tex] - 5 + 20 = 20 - 5 = 15[/tex]
[tex]15 \div 5 \times ( - 2)[/tex]
[tex] - (15 \div 5 \times 2) = - (30 \div 5) [/tex]
[tex] = - 6[/tex]
I need help with my homework pls somone help….
Answer:
x > 9
Step-by-step explanation:
since the dot is open there won't be a line under
write the vertices of each figure
Help please I need that answer rn.Plzz help thanks :))
Answer:
3 1/3 ÷ 4/5 = 25/6 =4 1/6
Result in decimals: 4.1666666666667
Answer:
The answer is 5/4
For the first expression, 3 multiplies 3 plus 1 divided by the denominator 3
= 3×3 +1÷3
=10/3
then with the second expression, the division sign changes to a multiplication sign . Immediately it changes,4/5 turns to become 5/4
so now it will be
10/3×5/4
=15/12
=5/4
What is the product of ¼, -½ and -¾?
a
0.0934
b
-0.6543
c
-0.09357
d
0.09375
601.584 to the nearest tenth
how fo I do this? please, need help
Answer:
Round off to the two decimal places then plot on your Cartesian Plane
in September the digits of the code number are prime factor of 375 what is the code number for the office door in September
Answer:
There are 3 prime factors for 375 (1,3,5)
Step-by-step explanation:
Prime factors are prime numbers meaning they can't be further divided by a whole number.
can someone please help me?
The decimal equivalent of is 3/4 is...
.30
.75
.80
.90
none of these
Answer:
0.75
Step-by-step explanation:
since it's a fraction you can divide
3 divided by 4 is 0.75
PLEASE HELP Which values of a and b that make the following equation correct?
[tex](2^{a} *3^{2b})^{5} =6^{20}[/tex]
[tex]\\ \sf\longmapsto (2^a\times 3^{2b})^5=6^{20}[/tex]
[tex]\\ \sf\longmapsto 2^{5a}\times 3^{10b}=(2\times 3)^{20}[/tex]
[tex]\\ \sf\longmapsto 2^{5a}\times 3^{10b}=2^{20}\times 3^{20}[/tex]
On comparing
[tex]\\ \sf\longmapsto 5a=20[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{20}{5}=4[/tex]
And
[tex]\\ \sf\longmapsto 10b=20[/tex]
[tex]\\ \sf\longmapsto b=\dfrac{20}{10}=2[/tex]
Need help pls I will give you 20 more points ASAP
Step-by-step explanation:
RF (green) = 34/(12+14+34) = 34/60 = 0.57
[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{34}{12+14+34}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{34}{60}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{17}{30}=0.57[/tex]
Given f(x) = 3x – 1, solve for x when f(x) = -7.
Answer:
x = -2
Step-by-step explanation:
Given f(x) = 3x – 1
f(x) = -7
3x-1 = -7
3x = -7+1
3x = -6
x = -2
Answer:
x = -22
Step-by-step explanation:
given:
[tex]f(x) = 3x - 1[/tex]
solve for x, when:
[tex]f(x) = -7[/tex]
replace x with -7
~~~~~~~~~~~~
➡️ [tex] x = 3(-7) - 1 [/tex]
➡️ [tex] x = -21 - 1 [/tex]
➡️ [tex]x = -22 [/tex]
The function g is defined by the following rule.
g(x) = 4x-3
Complete the function table.
FASTEST WILL BE MARKED BRAINLIEST
helppppppppppppppppppppppppppppppppppppppppppPp
Answer:
Step-by-step explanation:
4) You just have to find the lcm of the denominators
a) lcm(4,3,6)=4*3=12
[tex]\dfrac{3}{4} x-\dfrac{2}{3} =\dfrac{1}{6}x\\\\12*(\dfrac{3}{4} x-\dfrac{2}{3}) =12*(\dfrac{1}{6}x)\\\\12*\dfrac{3}{4} x-12*\dfrac{2}{3} =12*\dfrac{1}{6}x\\\\9*x-8 =2*x\\\\9*x-2*x =8\\\\7*x=8\\\\x=\dfrac{8}{7} \\[/tex]
b) I don't know the name of the property but it is :
"We can multiply the two members of an equality by the same non-zero number, we obtain an equality. "
5)
[tex]-6x+10+8x=12-4x\\\\(-6x+10)+8x=12-4x\\\\8x+(-6x+10)=12-4x\\\\8x-6x+10=12-4x\\\\2x+10=12-4x\\....[/tex]