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3 years ago

Is this linear, exponential, or quadratic?

Mathematics

1 answer:

Lady_Fox [76]3 years ago

5 0

Linear. Each increase of 1 in x means a decrease of 3 in y, so it has a consistent slope of -3

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Heyyyy help please please please

Viefleur [7K]

Answer:

% Decrease = 19.2 ; 19.2%

Step-by-step explanation:

% Decrease = (Original Price - New price)/ Original price × 100

% Decrease = (78 - 63)/78 × 100

% Decrease = 15/78 × 100

% Decrease = 19.23

8 0

2 years ago

Identify the vertex, the axis of symmetry, the maximum or minimum value, and the range of the parabola for y=x^2+6x+13

charle [14.2K]

Answer:

Step-by-step explanation:

First we can determine the x value of our vertex via the equation:

$x=\frac{-b}{2a}$

Note that in general a quadratic equation is such that:

$ax^2+bx+c$

In this case a,b and c are the coefficients and so a=1, b=6 and c=13.

Therefore we can determine the x component of the vertex by plugging in the values known and so:

$x=\frac{-b}{2a}=\frac{-6}{2(1)}=\frac{-6}{2}=-3$

Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

$f(x)=x^2+6x+13\\\\f(-3)=(-3)^2+6(-3)+13\\\\f(-3)=4$

Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:

x=-3

Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:

y=4

The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:

Range = All real numbers greater than or equal to 4.

4 0

4 years ago

Which of the following is equivalent to sin theta csc(–theta) wherever sin theta csc(–theta) is defined?

Firlakuza [10]

$sin\theta csc(-\theta)=sin\theta\cdot\frac{1}{sin(-\theta)}=sin\theta\cdot\frac{1}{-sin\theta}=\frac{1}{-1}=-1\\\\Answer:F$

3 0

3 years ago

Solve: 6 and 2/5 divided by 4/5

LiRa [457]

Answer:

where does 6 fit into the equation?

Step-by-step explanation:

3 0

3 years ago

Find the difference between 7/10 and 14/15

Phantasy [73]

Answer:

the difference between the two fractions is 1/10

Step-by-step explanation:

when solving this problem you must switch the denominators to the same number. in this case thats 30. so 10*3 is 30 and 15*2 is 30. so then we multiply 7*3 to get 21 and 14*2 to get 24. so now we have 21/30 and 24/30, so then we compare. and we end up with 3/30, we simplify the answer to 1/10.

6 0

3 years ago