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2 years ago

Why is a the y-intercept of the graph of the function y=ab^x

1 answer:

3 0

The y-intercept occurs on a graph when x = 0. Therefore on a graph of y= ab^x when x = 0, y = ab^0 = 1. Therefore the y-intercept is at the point (0,1).
Hope this helps!

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Simplify (7+5)^2 divided by 4 x 3 + 9

MaRussiya [10]

((7 + 5)^2) / (4 * 3 + 9) =
(12^2) / (12 + 9) =
144 / 21 reduces to 48/7 or 6 6/7

7 0

3 years ago

does the following represent a function that can be represented using the equation =+? how would do you know

scoray [572]

Answer: It's not a function because the line is curved, and it has an exponent in the equation which makes the line curved instead of straight which will make x repeat.

3 0

2 years ago

A family is driving from Phoenix to San Francisco. On a map grid, Phoenix is located at (–12, –16), and San Francisco is located

makkiz [27]

The answer is 34.05

The total distance (D) is the sum of three distances (d1, d2, and d3).

The distance formula is $d = \sqrt{(x2-x1)^{2} +(y2-y1)^{2}}$

Distance 1: Phoenix (–12, –16) to Blythe (–20, –9):
 $d1 = \sqrt{(-20-(-12))^{2} +(-9-(-16))^{2}} =\sqrt{(-20+12)^{2} +(-9+16)^{2}} \\ =\sqrt{(-8)^{2} +(7)^{2}}= \sqrt{64+49} = \sqrt{113}= 10.63$

Distance 2: Blythe (–20, –9) to Los Angeles (–33, –4):
$d2 = \sqrt{(-33-(-20))^{2} +(-4-(-9))^{2}} =\sqrt{(-33+20)^{2} +(-4+9)^{2}} \\ =\sqrt{(-13)^{2} +(5)^{2}}= \sqrt{169+25} = \sqrt{194}= 13.93$

Distance 3: Los Angeles (–33, –4) to San Francisco (–36, 5)
 $d3 = \sqrt{(-36-(-33))^{2} +(5-(-4))^{2}} =\sqrt{(-36+33)^{2} +(5+4)^{2}} \\ =\sqrt{(-3)^{2} +(9)^{2}}= \sqrt{9+81} = \sqrt{90}= 9.49$

D = d1 + d2 + d3 = 10.63 + 13.93 + 9.49 = 34.05

3 0

2 years ago

Given AB= BC FINDIND X= AB= BC= AC=

tester [92]

Answer:

see explanation

Step-by-step explanation:

Given AB ≅ BC, then

AB = BC = x + 6 , and

AC = AB + BC ← substitute values

3x - 31 = x + 6 + x + 6, that is

3x - 31 = 2x + 12 ( subtract 2x from both sides )

x - 31 = 12 ( add 31 to both sides )

x = 43

Hence

AB = BC = x + 6 = 43 + 6 = 49

AC = 3x - 31 =(3 × 43) - 31 = 129 - 31 = 98

8 0

2 years ago

A consumer magazine article titled "How Safe Is the Air in Airplanes" reports that the air quality, as quantified by the degree

OlgaM077 [116]

Answer:

Step-by-step explanation:

Given that a consumer magazine article titled "How Safe Is the Air in Airplanes" reports that the air quality, as quantified by the degree of staleness, was measured on 175 domestic flights.

The purpose was to study about the safety of all flights as a whole.

Since all flights cannot be measured within a reasonable time, a sample of 175 domestic flights were taken.

a) The population of interest here would be the measure of safety of all the airplanes.

b) Sample is the 175 domestic flights selected

c) Characteristics of interest is the safety in travelling by air in Airplanes due to air quality.

8 0

3 years ago