Answer:
7
Step-by-step explanation:
21/3 = 7
Hope this helps!
can write a quadratic function given key features in the form of ordered pairs
12: Write an equation of each quadratic function, in vertex form, with the given vertex and point
a) Vertex at (1.2) and passes through the point (3.4)
b) Vertex at (-5, -1) and passes through the point (6.3)
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
The difference of x and 4
Answer:
x — 4
Step-by-step explanation:
Difference means subtraction, so x — 4 is the expression for your question.
1200p x 1920p width of 12 inches
Answer:
nice TV
Step-by-step explanation:
Each polygon is divided into a number of triangles. Find the number of triangles if the number of sides in a polygon is: (a) 6
Answer:
4 triangles
Step-by-step explanation:
the number of triangles in a polygon is (the number of sides in the polygon - 2)
The number of triangles inside a polygon with six sides are 4.
What is a polygon? What is a mathematical function, equation and expression? polygon : A polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that the number of sides in a polygon is 6.
If the polygon has {n} sides, then the number of triangle in a polygon is → (n – 2).For n = 6, the number of triangles would be - (6 - 2) = 4Therefore, the number of triangles inside a polygon with six sides are 4.
To solve more questions on polygons, visit the link below -
https://brainly.com/question/8789072
#SPJ5
What is the solution to the system of equations?
mike sold half of his comic books and then bought 9 more. he now has 14. how many did he begin with?
solve for x
4xy+3x+2=12
show all the steps
Currently, you have made
78, 83, and an 80 on your tests in math. What do you need to make on the next test in order to get an average of an 82?
Answer:
87
Step-by-step explanation:
Mean(or average) = 82
let 'x' be the last test marks
Sum of marks of tests/Number of tests = Mean
(78 + 83 + 80 + x)/4 = 82
241 + x = 82 × 4
241 + x = 328
x = 328 - 241
x = 87
¿Que tiempo se tardara en escucharse el retumbo de un volcan situado a 58km?
Answer:
How long will it take to hear the rumbling of a volcano located 58km away?
Step-by-step explanation:
2. What might be a problem with using interval lengths that are too small?
A major problem with interval lengths that are too small is that it masks the shape of the distribution.
The interval length used in a distribution may be described as the size of the class or the class width. The interval length is usually important when drawing histograms and other related graphs for a grouped distribution.
The most significant effect of using a class interval which is too small is that it masks the actual shape of distribution, Hence preventing it from being distinct.
For best practice, it is essential that the class interval is of moderate width, hence enabling us to have a distribution which isn't maksed nor exaggerated.
Learn more : https://brainly.com/question/19473137
Find the value of x.
Answer:
Step-by-step explanation:
Those two angles are equal. They are corresponding angles. In two parallel lines crossed by a transversal. 8 angles are produced. 4 have one value and the other 4 are supplementary to the first four.
These 2 are part of the first group of 4.
So 12x - 8 = 104
12x - 8 + 8 = 104 + 8
12x = 112
x = 9 1/3
The scale from the drawing to the actual ramp is 2cm to 12in. What is the area of the actual side of the ramp?
The scale is 2 cm to 12 in so the actual length of the shorter side is 12 in, and the actual side of the longer side is (8/2)×12=48 in. So, the actual area of the ramp is (1/2)×12×48=288 Sq. in.
Scale used to convert the dimensions from drawing to actual is,
2 cm : 12 in
Height of the ramp in a skateboard park = 2 cm
Therefore, actual height 'x' of the ramp will be,
[tex]\frac{2}{12}=\frac{2}{x}[/tex]
x = 12 inches
Since, measure of the base of the ramp = 8 cm
Length of the base 'y' of the actual ramp will be,
[tex]\frac{2}{12}=\frac{8}{y}[/tex]
y = [tex]\frac{8\times 12}{2}[/tex]
y = 48 inches
Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(48)(2)[/tex]
= 48 square inches
Learn more,
https://brainly.com/question/410946
Which of the following expressions is equivalent to the one shown below?
(43)5
O
48
19
e
C. 42
o
D. 415
SUBMI
Answer:
The choose D. 4¹⁵
I hope I helped you^_^
What is (f + g)(x)? f(x) = -5x + 3 g(x) = -3x? Write your answer as a polynomial or a rational function in simplest form.
Answer:
- 8x + 3
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= - 5x + 3 + (- 3x)
= - 5x + 3 - 3x ← collect like terms
= - 8x + 3
f(x)=ax+b,f(3)=3 and f(2)=1 find the value of a and b
Answer:
a=2, b=-3
Step-by-step explanation:
f(x) = ax+b
f(3)=3, 3a+b=3
f(2)=1, 2a+b=1
Solving these two equations, we get a=2, b=-3
complete the square to find the vertex of the parabola.
Answer:
Step-by-step explanation:
[tex]y^2+6y+8x+1=0\\\\y^2+2*3y+9+8x+1-9=0\\(y+3)^2+8x-8=0\\8x=-(y+3)^2+8\\\\x=-\dfrac{(y+3)^2}{8}+1 \\Vertex=(1,-3)[/tex]
The vertex is (1,-3).
To find the the vertex of the parabola.
What is parabola?A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side.,
Given that:
[tex]y^{2} +6y+8x+1=0\\\\y^{2} +2*3y+8x+1+9-9=0\\\\(y+3)^{2}+8x-8=0\\\\8x=-(y+3)^{2}+8\\\\x=-\frac{(y+3)^{2}}{8} +1\\\\vertex=(1,-3)\\[/tex]
So, the vertex is (1,-3).
Learn more about parabola here:
https://brainly.com/question/24390399
#SPJ2
Please help me with my homework!!!!!!
Answer:
Step-by-step explanation:
Given that x = 3 and y = 2 we can figure these out
3x = 3x3 = 9
5y = 5 x 2 = 10
9+10=19
X times y - 1
3x2-1=5
X*+y* =
3x3+2x2 = 13
2x3*-2 =
2x3x3 - 2 = 16
-5x3+9
= -6
2x2-3+5+3*-3x2 =
9
The equations below has been solved. What properties were used to justify how this equation
was solved? Fill in the appropriate property of equality on the line provided. Addition(APE),
Subtraction(SPE), Multiplication(MPE), and Division(DPE)
Answer:
Step-by-step explanation:
APE - adding 8 on both sides (first line)
DPE - dividing by 7 on both sides (second line)
A number of students are evenly spaced around the circle. The fourth student is directly opposite the tenth student. How many students are there altogether?
Answer:
12 studentsStep-by-step explanation:
Between the fourth and tenth there are:
9 - 4 = 5 studentsThe total number is:
2 + 5*2 = 12 studentsDivide. 9x4−12x3+103x2+2
Answer:
208
Step-by-step explanation:
The division result is: Quotient: [tex]3x^2 + 9x^2 - 107x^2[/tex], Remainder: -33 Here's the polynomial division step by step: [tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2[/tex]
Step 1: Divide the highest degree term of the dividend by the highest degree term of the divisor:
[tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2[/tex]
[tex]9x^4 + 3x^2[/tex]
---------------
[tex]-12x^3 + 103x^2[/tex]
Step 2: Multiply the divisor by the result from step 1 (3x^2 + 1) and subtract the result from the dividend:
[tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2\\[/tex]
[tex]9x^4 + 3x^2[/tex]
---------------
[tex]-12x^3 + 103x^2[/tex]
[tex]-12x^3 - 4x^2[/tex]
---------------
[tex]107x^2 + 2[/tex]
Step 3: Divide the highest degree term of the new dividend (107x^2) by the highest degree term of the divisor (3x^2), and perform the division:
[tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2[/tex]
[tex]9x^4 + 3x^2[/tex]
---------------
[tex]-12x^3 + 103x^2[/tex]
[tex]-12x^3 - 4x^2[/tex]
---------------
[tex]107x^2 + 2 \\ 107x^2 + 35[/tex]
-------------
-33
Since the result (-33) has a lower degree than the divisor (3x^2 + 1), we can't proceed with further division.
So, the division result is:
Quotient: [tex]3x^2 + 9x^2 - 107x^2[/tex]
Remainder: -33
To know more about division :
https://brainly.com/question/2273245
#SPJ3
Correct Question is:
Divide [tex](9x^4 - 12x^3 + 103x^2 + 2)\ by \ (3x^2 + 1)[/tex]
The tape diagram represents an equation.
Write an equation to represent the image.
(I hope im not asking for too much ;-;)
6t=9
Since the top tape diagram has 6 parts and labeled t (The same size as the bottom diagram), we multiply it, so: 6xt= 6t. 9 is the label of the bottom diagram. That means there are the same or equal to each other.
I hope I've helped!
In the pair of supplementary angles shown below, the measure of the smaller angle is 36°.
Complete the equation that could be used to represent this situation. Then, solve the equation to complete the sentences.
120
36
34
180
38
144
90
56
(4x - 8) + ? = ?
Answer the question mark
The value of x is ?
Answer the question mark
The measure of the larger angle is ?
Answer the question mark
Answer:
4x _ 8 + 90 = 144
Step-by-step explanation:
you do parentheses then the rest you follow that order and it will all work ot really easy
Select all numbers that will round to 600 when rounded to the nearest hundred.
550
575
596
602
667
Answer:
550, 575, 596, 602
Answer:
Anything greater or equal to 550 will be rounded to 600
and anything less than 650 will be rounded to 600,
So the numbers are:-
550
575
596
602
Please help me I don’t understand
Answer:
Step-by-step explanation:
Answer 10 inches
To find how many inches will equal 25 miles on the the map use the info they have already given u.
4in=10
8in=20
10in=25
simplify (-3)(-3)(-3)
Answer:
-27
Step-by-step explanation:
-3 x -3=9
9 x -3= -27
Answer:
-27
Step-by-step explanation:
-1/6(2x + 12) = 1/3x + 12
14>6>2 true or false
Answer:
I think this is if it is right then help me plz this is false ..
How do you write 42/25 as a percentage
Answer:
It is 1.68 so 168%
Step-by-step explanation:
help help help help help
Answer:
Reflect over the line x = 1
Step-by-step explanation:
ΔA'B'C' is the mirrored of ΔABC
But the reflection is over x = 1, because there is 3 units between the triangle and the line.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
put the following equation of a line into slope intercept form simplifying all fractions 5x + 2y = -6
Answer:
The general equation of a slope-intercept form is as below;
[tex]y = mx + c[/tex]
m » slope / gradient
c » y - intercept
x » x - intercept
Since our equation is 5x + 2y = -6, make y the subject:
[tex]5x + 2y = - 6 [/tex]
subtract 5x from either sides:
[tex](5x + 2y) - 5x = - 6 - 5x \\ 2y = - 5x - 6[/tex]
apply the division rule of equality:
[tex] \frac{2y}{2} = \frac{ - 5x}{2} - \frac{6}{2} \\ \\ { \boxed{ \boxed{answer : \: y = - \frac{5}{2} x - 3}}}[/tex]
slope » -5/2
y - intetcept » -3