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1 year ago

A frozen yogurt shop charges $4.00 for a bowl of yogurt and an addi-

Mathematics

2 answers:

Lynna [10]1 year ago

8 0

Answer:

y-intercept = 4

Step-by-step explanation:

let x = the number of additional toppings

let y = the total cost

Therefore, y = 0.25x + 4

Linear equation: y = mx + b, where m is the slope and b is the y-intercept

So by inspection, the y-intercept is 4

kow [346]1 year ago

4 0

Answer:

y= 0.25x +4 y= mx+b B is the y intercept

Step-by-step explanation:

Good luck bro

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A population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, which function represe

Dimas [21]

Answer:

P(t) = 258( 1 + 6%)^t

Step-by-step explanation:

Given that the population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, the function representing the number of caribou in the forest in t years will be

P(t) = 258( 1 + 6%)^t

Since it is increasing, it will be 1 + 6%

Where P(t) is the function representing the population after t years.

258 is the current or initial population.

6 0

3 years ago

Which answer choice shows the decimals in order from least to greatest?

mamaluj [8]

Answer:

B. 17.899, 18.1, 18.31, 18.879

5 0

2 years ago

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

2 years ago

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

Anarel [89]

Answer:

Step-by-step explanation:

Line of symmetry

4 0

2 years ago

It's question B as I've done A please help

Hatshy [7]

Its easy.use cos rule.

4 0

3 years ago