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Bezzdna [24]
2 years ago
13

Given that f(x) = 2x −5, find the value of x that makes f(x) = 15. (5 points)

Mathematics
2 answers:
vladimir2022 [97]2 years ago
6 0
First you must set f (x) =15:
15 = 2x - 5
Now you must solve like a normal equation:
15 = 2x - 5 )+5
20 = 2*x ):2
10 = x

ANSWER: The value of x is 10
Elden [556K]2 years ago
5 0
The correct answer is B
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The inverse of -9n is dividing by -9.

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3 years ago
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A 4m ladder rest against a vertical wall with its foot 2m from the wall.How far up the wall does the ladder reach?
adell [148]

A) How high up the wall does it reach?

Use the Pythagorean theorem

Height^2 + Base^2 = Hyp^2

H^2+ 2^2 = 4^2         Subtract the 2^2 from both sides

H^2 = 4^2 -2^2          Multiply the square roots of both the numbers

H^2= 16 - 4

H^2 = 12

H= sqrt(12) m

Hope this helps

4 0
3 years ago
Neveah has created the function of f(x) = 2x+4/3 to represent the growth of her hair, where x represents the number of months si
Andre45 [30]
F(x)=2x+4/3

Replace f(x) by y:
y=2x+4/3

Solving for x:
y-4/3=2x+4/3-4/3

Subtracting the two terms on the left side of the equation:
(3y-4)/3=2x

Dividing both sides of the equation by 2:
[(3y-4)/3]/2=2x/2
[(3y-4)/3]*(1/2)=x
[(3y-4)*1]/[(3)*(2)]=x
(3y-4)/6=x
x=(3y-4)/6

Replace "x" by "f^(-1) (x)" (inverse function) and "y" by "x":
f^(-1) (x) = (3x-4)/6   Inverse function

Then, for x=6 
f^(-1) (6) = [ 3(6)-4]/6
f^(-1) (6) = (18-4)/6
f^(-1) (6)= 14/6
f^(-1) (6) = 7/3

Her hair will have grown 6 after 7/3 = 2.33 months


3 0
3 years ago
Write the equation of a circle given the center (-4, 4) and raduis r = 5.
Len [333]

Answer:

A) (x+4)^2+(y-4)^2=25

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius. If (h,k)\rightarrow(-4,4) and r=5, then:

(x-h)^2+(y-k)^2=r^2\\\\(x-(-4))^2+(y-4)^2=5^2\\\\(x+4)^2+(y-4)^2=25

Therefore, the equation of the circle is (x+4)^2+(y-4)^2=25

6 0
2 years ago
Find the midpoint of NP⎯⎯⎯⎯⎯ given N(2a, 2b) and P(2a, 0).
geniusboy [140]

Answer:

(2a, b )

Step-by-step explanation:

Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \frac{1}{2}(x₁ + x₂ ), \frac{1}{2}(y₁ + y₂ ) ]

Here (x₁, y₁ ) = N(2a, 2b) and (x₂, y₂ ) = P(2a, 0), thus

midpoint = [ \frac{1}{2}(2a + 2a), \frac{1}{2}(2b + 0 ) ] = (2a, b )

4 0
3 years ago
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