The graph of the function f(x) = (x + 2)(x − 4) is shown.On a coordinate plane, a parabola opens up. It goes through (negative 2, 0), has a vertex at (1, negative 9), and goes through (4, 0).
Which describes all of the values for which the graph is negative and increasing?
all real values of x where x < −2
all real values of x where −2 < x < 4
all real values of x where 1 < x < 4
all real values of x where x < 0
Answers
All realvalues of x where 1 < x < 4.
What is the Graph function?
The graph of a function f is the set of all points inside the aircraft of the shape (x, f(x)). We can also define the graph of f to be the graph of the equation y = f(x). So, the graph of a character is a unique case of the graph of an equation.
How does Graph function?
For graphing functions, we need to plot its asymptotes, its x and y-intercepts, holes, and some factors on it by means of building a desk of values. Then simply join the factor by not touching the asymptotes and maintaining a observation of the area and range of the characteristic.
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Answer:
C
Step-by-step explanation:
all real values of x where 1 < x < 4
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What is the point-slope form of the equation of a line that passes through the point (1, 4) and has a slope of −3?A. Y - 1 = -3 (X - 4)B. Y + 4 = 3(X + 1)C. Y + 4 = -3 (X + 1)D. Y - 4 = -3 (X - 1)
Write an equivalent expression using the distributive property. 2x + 6
Answers
22 - 14 = 8
16/8 = 2
Final answer:
The pitcher was twice as old as the vase 14 years ago.
Explanation:
To find the number of years, x, ago when the pitcher was twice as old as the vase, we can set up an equation using their ages.
Let's say x years ago, the pitcher was twice as old as the vase.
So, the equation would be:
$(30 - x) = 2(22 - x)$
Simplifying the equation, we get:
$30 - x = 44 - 2x$
Combining like terms, we have:
$2x - x = 44 - 30$
$x = 14$
Therefore, the pitcher was twice as old as the vase 14 years ago.
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Answers
Break the Trapezoidal Prism into a rectangular prism with side measurements of 12, 18, and 6 and into a triangular prism with measurements of 6, 16, and 12.
Rectangular Prism:
Multiply all 3 numbers together:
Now find the volume of the triangular prism:
Multiply all 4 numbers:
Add the two volumes together:
Now we have to get rid of the area inside.
It's two rectangles both with lengths of 12 and widths of 6.
Multiply by 2 then subtract from the total volume we got:
Subtract it:
{(−1, 1), (−2, 2), (4, −4), (7, −7)}
Answers
The domain and range of the relation {(-1, 1), (-2, 2), (4, -4), (7, -7)} are {-1, -2, 4, 7} and {1, 2, -4, -7} respectively.
What is relation in function?
Not every relation is a function, but every function is a relation.
A function is a relation with clear boundaries.
When we say that something is well-defined, we mean that each element has been assigned a specific image.
The given set is,
{(-1, 1), (-2, 2), (4, -4), (7, -7)}
The domain of a set is the values of x,
Domain = {-1, -2, 4, 7}
The range of a set is the values of y,
Range = {1, 2, -4, -7}
The relation makes the function because for every value of x the sign of function y is negative,
The required function is,
y = -x.
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Answers
Answers
i hope this is helpful
have a nice day
Answers
Answer:
(1, 3)
Step-by-step explanation:
Origin is the point (0,0) on the graph.
Distance between 2 points=
Hence using the formula above,
1) subst. x₂=0, y₂=0 and distance = √10
2) simplify expression and square both sides
So the answer could be any point in which the sum of the square of the x coordinate and the square of the y coordinate equals to 10.
When x₁= 1,
1² + (y₁)²= 10
1+ (y₁)² = 10
(y₁)²= 10 -1
(y₁)²= 9
y₁= ± √9
y₁= 3 or y₁= -3
Thus, the other point could be (1 ,3).