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UNO [17]
3 years ago
7

Which of the next equations are linear:

Mathematics
1 answer:
insens350 [35]3 years ago
8 0
The first and third ones are both linear. The second one is not because of the exponent. Instead it is a parabola. 
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Given the equation y = 7 sec(6x– 30)<br><br> The period is:<br><br> The horizontal shift is:
Alexus [3.1K]

Answer:

The period is of \frac{\pi}{3} units.

The horizontal shift is of 30 units to the left.

Step-by-step explanation:

The secant function has the following general format:

y = A\sec{(Bx + C)}

A represents the vertical shift.

C represents the horizontal shift. If C is positive, the shift is to the right. If it is negative, it is to the left.

The period is P = \frac{2\pi}{B}

In this question:

y = 7\sec{6x - 30}

So B = 6, C = -30

Then P = \frac{2\pi}{6} = \frac{\pi}{3}

The period is of \frac{\pi}{3} units.

The horizontal shift is of 30 units to the left.

3 0
3 years ago
PLEASE HELP ME W THIS !! I RLLY SUCK AT MATH LOL
saw5 [17]

Answer:

{5}^{3}  \times {5}^{ - 2}   \\  {5}^{3 - 2 }  \\  {5}^{1}

Step-by-step explanation:

if it doesn't work I'm sorry

5 0
3 years ago
Help plz with this math problem. I’m so confused
Lunna [17]

Slope-intercept form is written as <em>y = mx + b</em>, where m is the slope and b is the y-intercept.

From this graph we should determine two points so we can work out the slope. Let's take points (3, -4) and (6, -2).

                                       

The equation to find the slope is:

m = \frac{y2 - y1}{x2 - x1}

Let's substitute in our values:

m = \frac{-2 - -4}{6 - 3}

Remember that two negatives make a positive, let's solve for m:

m = \frac{2}{3}

Okay, now we have the value of m. Now we need the value of b. We can determine this by looking at the graph and looking where the line passes through the y-axis. In this graph, we can see the line pass through the y-axis at point (0, -6).

Therefore we can determine that b = -6.

Let's substitute our value for m and our value for b into the slope-intercept formula:

y = mx + b

<u>y = </u>\frac{2}{3}<u>x + -6</u>

There's your final answer! I hope this helps, have a great night. :)

6 0
3 years ago
Which statements about opposites are true?
Sloan [31]

9514 1404 393

Answer:

  A, B, D

Step-by-step explanation:

The "opposite" of a number is that number with its sign changed.

__

  • The opposite of zero is zero.
  • A number and its opposite are located the same distance from zero on a number line.
  • The opposite of a negative number is always a positive number.
7 0
2 years ago
Read 2 more answers
My assigned ratio is: 2:5 Give Two examples of ratios that are equivalent to my ratio:
horrorfan [7]

Answer:

4:10 and 6:15 are equivalent to 2:5

5 0
3 years ago
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