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Thepotemich [5.8K]
3 years ago
13

Choose the correct solution and graph for the inequality -5y<_-15

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0

-5y <= -15

divide by -5  (flips the inequality)

y >= 3

closed circle at 3 line to the right

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If y = 3x + 1 is changed to y = 4x + 1, how would the graph of the new function compare with
inn [45]

Answer:

The graph of the new function would be steeper than the first one.

Step-by-step explanation:

<h3>Slope-intercept form</h3>

y= mx +c, where m is the gradient and c is the y-intercept. Note that in this form, the y term is the only term on the left-hand side of the equation and its coefficient is 1.

<h3>Identifying gradients</h3>

Since the two equations are in the slope-intercept form, we can easily identify their gradients from the coefficient of x.

The gradient of the first graph is 3, while that of the new function is 4.

<h3>Implications of a greater gradient</h3>

The gradient of a graph is how steep it is, or the change of y with respect to x. Also when we are given a linear graph without its equation, we can find its gradient using the formula:

\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }

This formula can also be written as

\boxed{ slope = \frac{rise }{run} }

These formulas imply that the gradient is the looking at how much the y- coordinate changes with respect to x. The term 'gradient' and 'slope' have the same meaning and is used interchangeably here.

Given that the new function has a greater slope, it has a greater change in y with respect to x than the first graph. Thus, we see a steeper graph when y= 3x +1 is changed to y= 4x +1.

<h3>y- intercepts</h3>

The y-intercept does not change in this case and both graphs intercept the y-axis at y= 1.

<h3>Note</h3>

In the attached graph, the first graph is represented by the red line while the graph of the new function is in blue.

5 0
2 years ago
In a science class of twenty-eight students. 12 boys and girls. On a unit test, 4 boys and 10 girls made an A grade. A student i
Wewaii [24]

Answer:

Step-by-step explanation:

probability of choosing a boy = 12 / 28 = 3 / 7

in % = 3 / 7 x 100 = 42,86%

probability of choosing an a student = (4 + 10) / 28 = 14 / 28 = 1 / 2

in % = 1 / 2 x 100 = 50%

6 0
3 years ago
NEED HELP ASAP!!
devlian [24]

Answer:we multiply by the reciprocal of a fraction when completing a division problem because it is a rule in mathematics that when you divide two fraction, you change the division sign to multiplication and flip the fraction at the right of the multiplication sign.

Step-by-step explanation:

For example if you have 4÷ 1/2. It basically means how many 1/2 can one get in 4. And the answers is 8.

Therefore multiplying by the reciprocal of a fraction when completing a division problem is a short cut method that has been tested and proven to be correct.

4 0
3 years ago
A can of soda is placed inside a cooler. As the soda cools, its temperature T (x) in degrees celsius is givien by the following
wel

Answer:

Initial 18 degrees Celsius

After 20 minutes, 5 degrees Celsius

Step-by-step explanation:

It’s initial temperature can be calculated as at the time when x = 0

When x = 0, the temperature is -6+24 = 18 degrees Celsius

This is because the exponent part equals 1 since anything raised in to the power of zero is one.

After twenty minutes,

T(x) = -6 +24e^-0.038(20)

T(x) = -6 + 11.224 = 5.224

And that is approximately 5 degrees Celsius to the nearest degree

8 0
3 years ago
Please help me i will mark you brainliest
kozerog [31]

Answer:

it will be c

Step-by-step explanation:

4 0
3 years ago
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