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8_murik_8 [283]
3 years ago
5

I don't understand how to the problem

Mathematics
1 answer:
Amanda [17]3 years ago
6 0

We have:

(30x²+23x+16)/(cx+3) - 13/(cx+3) = 6x+1

(30x²+23x+16 - 13)/(cx+3) = 6x+1

(30x²+23x+3)/(cx+3) = 6x+1

30x²+23x+3 = (cx+3)(6x+1)

30x²+23x+3 = 6cx²+cx+18x+3

30x² + 23x + 3 - 6cx² - cx - 18x - 3 = 0

(30 - 6c)x² +(5 - c)x = 0

6(5 - c)x² +(5 - c)x  = 0

(5 - c)(6x² +x) = 0, and x∈ R\ {3/c} ⇒ 5 - c = 0 ⇒ c = 5.

 

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What is the y-intercept of the line y + 11=2(x+1.5)
Alja [10]

Answer:

-8

Step-by-step explanation:

Turn the equation into slope intercept form [ y = mx + b ]

y + 11 = 2(x + 1.5)

~Distribute right side

y + 11 = 2x + 3

~Subtract 11 to both sides

y = 2x - 8

"b" represents the y-intercept, so, the y-intercept is -8.

Best of Luck!

5 0
3 years ago
Mars is 400 million kilometers away, its furthest distance from Earth?
Sergio [31]

Answer:

Mars is the fourth planet from the sun. It has been a favorite object of skywatchers for centuries and of space explorers for decades. The distance to Mars depends on when you measure it, and which vantage points you're considering. Just how far away is the Red Planet?

Hope this helps!

5 0
3 years ago
Which values are in the solution set of 111 = z^2 + 11 if the replacement set is {10, 12, 14, 16, 18}?
pantera1 [17]

Answer:

10

Step-by-step explanation:

Z ^2+11=111

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Z=10

8 0
3 years ago
Find the perimeter and area of the regular polygon. Round to the nearest tenth
rosijanka [135]

Answer:

P = 24

A ≈ 41.6

Step-by-step explanation:

The polygon is a regular hexagon, so the triangle shown is a 30-60-90 triangle.  So the short leg of the triangle is 2, which makes the side length of the hexagon 4.

That means the perimeter is P = 4 × 6 = 24.

The area of a regular polygon is:

A = ½ aP

where a is the apothem and P is the perimeter.

A = ½ (2√3) (24)

A = 24√3

A ≈ 41.6

4 0
3 years ago
Read 2 more answers
Suppose f(x) = x^2 and g(x) = (1/4)^2. Which statement best compares the graph of g(x) with the graph of f(x)
hjlf

Answer:

g(x) is the image of f(x) after stretched horizontally by scale factor = 4

Step-by-step explanation:

The statement that best compares the graph of  g(x) with the graph of f(x) says g(x) is the image of f(x) after stretched horizontally by scale factor = 4 because:

Given the function

f(x) = x²  and g(x) = (1/4x)² the image of f(x) after one transformation.  

The transformation shows that g(x) stretches away from y-axis.  

Since the transformation is stretched horizontally. So g(x) is the image of f(x) after stretched horizontally by scale factor (I.e. by 1).

Then we use the scale factor to divide g(x)

1 ÷ ¼ = 1 x 4/1 = 4  

So therefore, g(x) is the image of f(x) after stretched horizontally by scale factor = 4

8 0
4 years ago
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