Answer:
Step-by-step explanation:
the x-3 is to shift a normal parabola 3 to the right
the +1 is to lift the top up by one
the -1/9 is to compress and swapt it around
Answer:
y =- (x - 3)² + 1
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (3, 1) , thus
y = a(x - 3)² + 1
To find a substitute another point on the graph into the equation
Substitute (1, ) into the equation
= a(1 - 3)² + 1 ( subtract 1 from both sides )
- = 4a ( divide both sides by 4 )
a = -
y = - (x - 3)² + 1 ← equation of parabola in vertex form
Answer:
14
Step-by-step explanation:
0.85 + 10=0.95 and tyhat + 14 nickle and dimes
Answer:
The answer is B
Step-by-step explanation:
✌
Answer:
B
Step-by-step explanation:
You can substitute the variables for the values!
7x = 21
3y = -6
2x = 6
y = -2
21 - (-6)
----------
6 + (-2)
27
----
4
The bin containing 382 red, yellow, blue and green balls have a total of 32 green balls.
Let x represent the number of red balls, y represent the number of yellow balls and z represent the number of green balls.
Since ther is a total of 382 balls, hence:
x + y + z = 382 (1)
There is three times as many red balls as yellow balls:
y = 3x
3x - y = 0 (2)
52 more blue balls than yellow balls, hence:
z = y + 52
- y - z = -52 (3)
Solving equations 1, 2 and 3 gives x = 62, y = 186, z = 134
Hence there are 62 red balls, 186 yellow balls and 134 blue balls
Green balls = 62 - 30 = 32 balls
Find out more at: brainly.com/question/16763389
To find the number of green balls, you need to create equations using the given information. By solving the equations, the bin is determined to have 150 green balls.
To find the number of green balls, we need to consider the given information and create equations to solve for the number of green balls. Let's define the number of yellow balls as 'y'.
From the first statement, we know that there are 3 times as many red balls as yellow balls. Therefore, the number of red balls is 3y.
From the second statement, we know that there are 52 more blue balls than yellow balls. So, the number of blue balls is y + 52.
From the third statement, we know that there are 30 fewer green balls than red balls. So, the number of green balls is 3y - 30.
We can set up an equation: 3y + y + 52 + 3y - 30 = 382. Solving for 'y', we get y = 60.
Substituting the value of 'y' back into the equation for the number of green balls, we find that the bin has 3(60) - 30 = 150 green balls.
#SPJ11
a 90° counterclockwise rotation about the origin
a 180° rotation about the origin
a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about
the origin and then a 180° rotation
about the origin
arrowRight
a reflection across the x-axis and then a
reflection across the y-axis
arrowRight
a 90° clockwise rotation about the origin
and then a rotation 180° about the origin
arrowRight
Answer:
a 90° counterclockwise rotation about the origin
a 180° rotation about the origin
a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about
the origin and then a 180° rotation
about the origin
Step-by-step explanation:a 90° counterclockwise rotation about the origin
a 180° rotation about the origin
a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about
the origin and then a 180° rotation
about the origin
A 90° counterclockwise rotation is the same as a 270° clockwise rotation. A 180° rotation is the same as a reflection across both axes. A 90° clockwise rotation is the same as a 270° counter-clockwise rotation. Two separate rotations of 90° counter-clockwise and then 180° are the same as rotations of 90° clockwise and then 180°.
In mathematics, especially in geometry, transformations involve changing the position, size or shape of a figure. The question is about matching specific transformations or sequence of transformations to its equivalent transformation.
#SPJ2
(fog)(5)
Answer:
(f o g)(5) = -13
General Formulas and Concepts:
Pre-Alg
Algebra I
Step-by-step explanation:
Step 1: Define
f(x) = 3x - 4
g(x) = -2x + 7
(f o g)(5) is f(g(5))
Step 2: Find composite function
Step 3: Solve