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2 years ago

I dont understand this question, i did the factor of 36x^2 - 49 but I dont understand the second part

Mathematics

1 answer:

Nadya [2.5K]2 years ago

8 0

Answer:

a = 6

b = 7

Step-by-step explanation:

Since both 36 and 49 are perfect squares, you can find their square roots which are 6 and 7.

To check to see if it is correct, replace the a with 6 and replace the b with 7, then evaluate the exponents.

You might be interested in

The ratio of red marbles and blue marbles in a bag of 2 to 3. What would be the the number of red and bkue marbkes in the bag

Gnom [1K]

Answer:

See Explanation

Step-by-step explanation:

Given

$Red:Blue = 2 : 3$

Required

Determine the possible number of blue and red marbles

This question requires options. Since none were given, I'll answer on a general term.

To get the possible amount of each marble, we simply multiply the ratio by the same factor.

Take for instance.

Multiply ratio by 15

$Red:Blue = 2 : 3$

$Red:Blue = 2 *15: 3*15$

$Red:Blue = 30: 45$

This means that:

$Red = 30$ and $Blue = 45$

Another possible amount is: <em>multiply by 10</em>

$Red:Blue = 2 : 3$

$Red:Blue = 2 *10: 3*10$

$Red:Blue = 20: 30$

This means that:

$Red = 20$ and $Blue = 30$

<em>So, all you need to do is to multiply by the same factor</em>

6 0

2 years ago

Write 820.341 in scientific notation

Brut [27]

It is =8.20341 x 10^2

5 0

3 years ago

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.

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