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densk [106]
2 years ago
6

The graph shows the distance a car is driven for each gallon of gas used.

Mathematics
1 answer:
tino4ka555 [31]2 years ago
5 0

Answer:

Step-by-step explanation:

See attachment

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Determine the logarithmic regression of the data below using either a calculator or spreadsheet program. Then, estimate the x−va
Lelu [443]

Answer:

  • y ≈ 33.7·ln(x) -45.9
  • 4.6

Step-by-step explanation:

A graphing calculator can perform logarithmic regression, as can a spreadsheet. The least-squares best fit log curve is about ...

  y ≈ 33.7·ln(x) -45.9

The value of x estimated to make y = 5.2 is about 4.6.

3 0
3 years ago
What is the value of x in the equation 2.5 (6x-4h=10 +4(1.5 + 0.5x)
Komok [63]

Answer:

In this equation x is equal to h + 1

Step-by-step explanation:

To solve this, follow the order of operations for solving equations.

(6x-4h) = 10 + 4(1.5 + 0.5x) ----> Distribute the 4

(6x - 4h) = 10 - 6 + 2x ----> Simplify

6x - 4h = 4 + 2x ----> Subtract 4 from both sides

6x - 4h - 4 = 2x ----->Subtract 6x from both sides

-4h - 4 = -4x ----> Divide by -4

h + 1 = x

3 0
3 years ago
Here are two steps from the derivation of the quadratic formula. What room place between the first step and the second step?
Vaselesa [24]

Answer:

Step-by-step explanation:

The problem solver "completed the square."  He or she took half of the coefficient of x and squared the result, and then added this square and subtracted this square to/from both sides of the equation.

8 0
3 years ago
Read 2 more answers
Given f(x) = x − 7 and g(x) = x2 Find F(g(4))
Thepotemich [5.8K]

Answer:

g(f): x -> 2(x-7)=2x-14 , g(f)(-1)=2*(-1)-14=-16

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A surveyer wants to find the distance from points A and B and to an inaccessible point C. These three points form a triangle. Be
Vinil7 [7]

Answer:

42.8°

Step-by-step explanation:

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

\frac{a}{sin(A)}=\frac{b}{sin(B)}  =\frac{c}{sin(C)}

Given that points A, B and C forms a triangle with angle A = 65°, distance from A-to-C = 90 m and the distance from B to C = 120 m.

The distance from A to C is the side opposite to angle B. Hence let b =  distance from A to C = 90 m.

The distance from B to C is the side opposite to angle A. Hence let a =  distance from B to C = 120 m.

Therefore using sine rule:

\frac{a}{sin(A)}=\frac{b}{sin(B)}  \\\\\frac{120}{sin(65)}=\frac{90}{sin(B)}  \\\\sin(B)=\frac{90*sin(65)}{120} \\\\sin(B) =0.6797\\\\B=sin^{-1}(0.6797)\\\\B=42.8^o

7 0
3 years ago
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