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Gnom [1K]
2 years ago
7

Raphael graphed the functions g(x)=x+2 and f(x)=x−1. How many units below the y-intercept of g(x) is the y-intercept of f(x)? A

coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 1) and (1, 0). The second line is labeled g(x) and passes through the points (negative 2, 0) and (0, 2). −3 units −1 units 2 units 3 units
Mathematics
2 answers:
aleksley [76]2 years ago
6 0

Answer:

3 units below the y-intercept of g(x) is the y-intercept of f(x)

Step-by-step explanation:

jasenka [17]2 years ago
4 0

Answer:

3 units below the y-intercept of g(x) is the y-intercept of f(x)

Step-by-step explanation:

g(x)=x+2 and f(x)=x-1

In f(x)= mx+b the y intercept is b

In g(x)=x+2, the y intercept value is 2

In f(x)=x-1, the y intercept value is -1

the difference in y intercept is +2-(-1)=+3

3 units below the y-intercept of g(x) is the y-intercept of f(x)

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Tania has a set of nesting rings. This table shows the relationship between the radius of a ring and the ring's circumference.
valentinak56 [21]

Answer:

The circumference is 59.66 cm

Step-by-step explanation:

we know that

The circumference of a circle (ring) is given by the formula

C=2\pi r

If the radius is

r=9.5\ cm

substitute in the formula

C=2\pi (9.5)

C=19\pi\ cm ----> exact value

assume

\pi =3.14

substitute

C=19(3.14)=59.66\ cm

5 0
2 years ago
A motorboat covers the distance from one pier to the other pier in 4 hours and the way back in 5 hours. What is the speed of the
stiv31 [10]
Speed of current ------ y km/h 

<span>distance with the current = 4(x+y) </span>
<span>distance against the current = 5(x-y) </span>

<span>we know that 3.5(x+y) = 70 </span>
<span>x+y = 20 </span>

<span>but 4(x+y) = 4(20) = 80 </span>
<span>then 5(x-y) = 80 </span>
<span>x-y = 16 </span>

<span>x+y=20 </span>
<span>x-y=16 </span>
<span>add them </span>
<span>2x = 36 </span>
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5 0
2 years ago
A sinusoidal function whose period is π/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3. What is the equ
Eddi Din [679]

Answer:

f(\theta)=3+7sin(4\theta)

Step-by-step explanation:

The sinusoidal function has a general form of:

f(\theta)=Y+Asin(k\theta)

The period is given by:

P=\frac{2\pi}{k}\\\frac{\pi}{2}= \frac{2\pi}{k}\\k=4

Y is the y-intercept, thus y = 3.

At the maximum value:

f(max) = Y+A\\10 = 3+A\\A=7

At the minimum value:

f(min) = Y-A\\-4 = 3-A\\A=7

Therefore, the equation of the function described is:

f(\theta)=3+7sin(4\theta)

6 0
2 years ago
If the sin 90º = 1, then which statement is true?
Natali [406]

in a right-triangle, like in the 1st Quadrant, cosine and sine are complements, so then

sin(x) = cos(90° - x)

cos(x) = sin(90° - x)

for this case, sin(<u>90°</u>)  = cos(90° - <u>90°</u>), or just cos(0°) = 1.

6 0
2 years ago
Value of expression 6 3/4(-11.5)
Olenka [21]

Answer:

6 * 3/4 = 9 2 = 412 = 4.5

Step-by-ste

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Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 4) = 2. In the next intermediate step cancelling by a common factor of 2 gives 9

2

.

In words - six multiplied by three quarters = nine halfs.

0 0
2 years ago
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