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scoray [572]
3 years ago
9

Find the y-intercept of the function. y = 6^x

Mathematics
1 answer:
dsp733 years ago
6 0
Y-intercept of f(x) is a value of function for x = 0.

y = 6^x ⇒ f(x) = 6^x

f(0) = 6^0 = 1

Answer: (0; 1)
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Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49. a. What is the unit price? b. Wh
inysia [295]

Answer:

a) $0.83

b) k = 1.205

c) In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

Step-by-step explanation:

Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49.

a. What is the unit price?

The unit price means the cost of 1 cookie

Hence:

3 chocolate chip cookies = $2.49

1 chocolate chip cookies = x

3x = $2.49 × 1

x = $2.49 × 1/3

x = $0.83

Hence, the unit price = $0.83

b. What is the constant of proportionality, or k?

Chocolate chip cookie ∝ Price

Chocolate chip cookie is directly proportional to the Price

C = kP

Where k is constant of proportionality

k = Chocolate chip cookie/Price

k = C/P

Hence,

k = 3/2.49

k = 1.2048192771

k = 1.205

c. In a complete sentence, explain what k means in the context of this problem.

In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

6 0
3 years ago
Find the equation of a line that passes through (1,12) and is parallel to the graph of y=3x+3 Write the equation in​ slope-inter
Ray Of Light [21]

Answer:

The equation of the parallel line is

y = 3x + 9

Step-by-step explanation:

The general equation of a straight line is given as;

y = mx + c

where m is the slope and c is the intercept

If two lines are parallel, their slopes are equal

So the slope of the new line too is 3

Using the point-slope formula

y-y1 = m(x-x1)

y-12 = 3(x-1)

y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

5 0
3 years ago
1.0315 x 10^ written in standard notation
Katyanochek1 [597]

Answer:

10.315

Step-by-step explanation:

7 0
3 years ago
The area of circle B is 121 times greater than the area of circle A. The radius of circle B is 44. What is the radius of circle
xxMikexx [17]
<em>Formula:</em>
\bigg( \dfrac{radius_1}{radius_2} \bigg)^2 =  \dfrac{area_1}{area_2}

<em>Plug in the values:</em>
\bigg( \dfrac{r}{44} \bigg)^2 = \dfrac{1}{121}

<em>Simplify LHS:</em>
\dfrac{r^2}{1936}  = \dfrac{1}{121}

<em>Multiply by 1936 on both sides:</em>
r^2  = \dfrac{1936}{121}&#10;

<em>Simplify RHS:</em>
r^2 = 16

<em>Square root both sides:</em>
r = 4

Answer: The radius is 4 units. (Answer B)
5 0
3 years ago
A Class 4 truck weighs between 14,000 and 16,000 pounds.
Nady [450]

Answer:

Class 4: This class of truck has a GVWR of 14,001–16,000 pounds or 6,351–7,257 kilograms. Class 5: This class of truck has a GVWR of 16,001–19,500 pounds or 7,258–8,845 kilograms.

Step-by-step explanation:

6 0
3 years ago
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