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3 years ago

Two functions are given below. F(x)= 4x + 5 and g(x)= 7x + 7. How does the graph of f compare with the graph of g?'

1 answer:

3 0

Since the slope of f(x) is 4 (from 4x) and the slope of g(x) is 7, that means that f(x) changes 4 every time x changes, but g(x) changes 7, making g(x) more steep and f(x) less steep

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Is 4y^2 + 9 = -4 a linear equation?

bekas [8.4K]

Answer:

No.

Step-by-step explanation:

The exponent of y is 2, which is not 1, so the equation is 2nd degree, <em>not linear</em> (1st degree).

6 0

3 years ago

A line passes through the point (0,6) and is parallel to the line with the equation y =

Tresset [83]

Answer:

First option is the correct choice.

Step-by-step explanation:

y - 6 = 1/5 x + 0

y = 1/5x + 6

Best Regards!

8 0

3 years ago

Read 2 more answers

The sum of 5 consecutive odd numbers is 145. What is the third number in this sequence

vredina [299]

Answer: The 3rd number in the sequence is 29.

Step-by-step explanation: What we have is a sequence of “ODD” numbers and they are consecutive, which means they come one after another with regular intervals. We don’t have any of the numbers but we can start by saying ‘let x represent the first number in the sequence’

With this in mind, we can now assume all other four numbers in the sequence. Therefore if the 1st number is x, the 2nd number would be x + 2, and the the 3rd number would be x + 4, 4th number would be x + 6 while the 5th number would be x + 8.

The reason is that, every odd number is an addition of two to the previous odd number. For instance, if you start with 3, the next odd number would be 3+2 (5), and so on.

Therefore we can now write our consecutive odd numbers as follows;

x + (x + 2) + (x + 4) + (x + 6) + (x + 8)

Remember that all the numbers add up to 145. Therefore,

x + x + 2 + x +4 + x + 6 + x + 8 = 145

5x + 20 = 145

Subtract 20 from both sides of the equation

5x = 125

Divide both sides of the equation by 5

x = 25.

The first odd number is 25, which means the 3rd odd number is 25 + 4.

Therefore the 3rd odd number is 29.

5 0

3 years ago

What is the y intercept of a line that passes through (1,-7) and (5,-25). How do I find it.

LUCKY_DIMON [66]

Answer:

y- intercept = - 2.5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)

m = $\frac{-25+7}{5-1}$ = $\frac{-18}{4}$ = - 4.5 , then

y = - 4.5x + c

To find c substitute either of the 2 points into the equation

Using (1, - 7), then

- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5

y- intercept c = - 2.5

3 0

3 years ago

What is the measure of angle x?

tiny-mole [99]

The answer would be 42 because its the same angle as the other one
I hope I helped! ♥

5 0

3 years ago

Read 2 more answers