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Sphinxa [80]
2 years ago
6

Which system of equations is represented by the graph?

Mathematics
2 answers:
slavikrds [6]2 years ago
5 0

The red line has a y-intercept of -4, so the linear equations of choices A and C can be eliminated.

The numerator of the rational expression of choice B will not be zero when x=4, so that choice can be eliminated. (That is, check to see if the point (4, 0) satisfies the equation. It does not.)

The problem requirements are met by the last choice:

d y = x minus 4, over x plus 2

y = x − 4

Mkey [24]2 years ago
5 0

Answer:

d y = x minus 4, over x plus 2

y = x − 4

Step-by-step explanation:

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Solve 4^x+2 = 12 for x using the change of base formula log base b of y equals log y over log b.
valentinak56 [21]

The value of x is 1.66

Step-by-step explanation:

Let use revise the rules of exponential and logarithmic equations

1. If y = b^{x}, then log_{b}(y)=x

2. log_{b}(y) = \frac{log(y)}{log(b)}

Use the rules above to solve the problem

∵ 4^{x}+2=12

- Subtract 2 from both sides

∴ 4^{x}=10

change the exponential equation to logarithmic equation

∴ log_{4}(10)=x

∵ log_{4}(10) = \frac{log(10)}{log(4)}

∴ x = \frac{log(10)}{log(4)}

∴ x = 1.66

The value of x is 1.66

Learn more:

You can learn more about logarithmic function in brainly.com/question/10633485

#LearnwithBrainly

6 0
3 years ago
4 square feet is equivalent to how many square yards?
s2008m [1.1K]

Answer:

4 square feet = 0.444444444 square yards

Step-by-step explanation:

5 0
3 years ago
What is the wquation of a circle with center (-2.3) and radius 4
yanalaym [24]
The equation of any circle is

(x - a)^2 + (y - b)^2 = radius^2 where our center is (a, b)

Therefore, our equation is as follows.

(x + 2)^2 + (y - 3)^2 = 16
5 0
2 years ago
If f(x)=4x-1 and g(x)=x^2+7 ,find G(f(x))
frutty [35]

Answer:

g(f(x))=(4x-1)^2+7=16\,x^2-8x+8

Step-by-step explanation:

Given:

f(x)=4x-1\\and \\g(x)=x^2+7

Then the composition of functions:

g(f(x))=g(4x-1)=(4x-1)^2+7= (16\,x^2-8x+1)+7=16\,x^2-8x+8

where we have written the final functional expression in its standard form.

5 0
3 years ago
Rick used a stick to trace a large rectangle in a sandy lot
konstantin123 [22]

Answer:

56 feet

Step-by-step explanation:

Perimeter is what the sum of all sides lengths of a polygon is. So if the retangle measures 13x15 feet, the perimeter would be 13+13+15+15. Because the 13x15 is only two sides, and a retangle has 4 sides. So we need to incorperate the other two sides, which are the same as the others because it is a retangle.

Hope this helps!

8 0
2 years ago
Read 2 more answers
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