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dimulka [17.4K]
3 years ago
11

To save money, you put $200 in your bank account each week. After saving for 4 weeks, you have $1,700 dollars in your account. W

hich equation models your savings account balance at the end of each week?
Mathematics
2 answers:
Burka [1]3 years ago
5 0

Answer: y - 1700 = 200(x-4)

irina [24]3 years ago
5 0

Answer:

y−1,700=200(x−4)

Step-by-step explanation:

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A ship travels 10 miles from Point A to Point B, makes a turn of 112, and travels 16 miles to Point C. If the ship travels direc
marin [14]
This is Pythagorean's Theorem, with one leg being 10 and the hypotenuse being 16.  Using those values in the theorem looks like this:
10^{2} + b^{2} = 16^{2}
and 100+ b^{2} =256
and b^{2} =256-100
so b^{2} =156
Take the square root of both sides to find that b = 12.5
8 0
3 years ago
Consider the quadratic function f(x) = –2x2 + 4x – 2. Find the y-intercept and the equation of the axis of symmetry.
RoseWind [281]

Answer:

The y-intercept is -2

The equation of the axis of symmetry is x = 1 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the general form of the quadratic function

- The general form of the quadratic function is f(x) = ax² + bx + c,

 where a, b , c are constant

# a is the coefficient of x²

# b is the coefficient of x

# c is the y-intercept

- The meaning of y-intercept is the graph of the function intersects

 the y-axis at point (0 , c)

- The axis of symmetry of the function is a vertical line

  (parallel to the y-axis) and passing through the vertex of the curve

- We can find the vertex (h , k) of the curve from a and b, where

 h is the x-coordinate of the vertex and k is the y-coordinate of it

# h = -b/a and k = f(h)

- The equation of any vertical line is x = constant

- The axis of symmetry of the quadratic function passing through

  the vertex then its equation is x = h

* Now lets solve the problem

∵ f(x) = -2x² + 4x - 2

∴ a = -2 , b = 4 , c = -2

∵ The y-intercept is c

∴ The y-intercept is -2

∵ h = -b/2a

∴ h = -4/2(-2) = -4/-4 = 1

∴ The equation of the axis of symmetry is x = 1

4 0
3 years ago
Given that
mina [271]

Answer:

huh?

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
An observation deck extends 202 feet out above the valley. The deck sits 152 feet above the valley floor. If an object is droppe
OleMash [197]

Answer:

<h3>3 secs</h3>

Step-by-step explanation:

Given the height of the object as it drops from the observation deck expressed as;

h= -16t^2+152

To determine the the time it will take the object to be 8 feet above the valley floor, we will substitute h = 8 into the equation and calculate t as shown;

8 = -16t^2+152

subtract 8 from both sides

8-8 = -16t^2+152-8

0 =  -16t^2+144

0-144 =  -16t^2

-144 = -16t^2

16t^2 = 144

Divide both sides by 16;

16t^2/16 = 144/16

t^2 = 9

t = √9

t = 3seconds

Hence it will take 3 seconds for the object to be 8 feet above the valley floor

6 0
3 years ago
I NEED HELP ASAP PLEASE AND THANKS.
yanalaym [24]

Answer:

b=320; slope=-30

Step-by-step explanation:

if you look along the y-axis find the spot that the line intercepts and then that's b

now for the slope

find two points on the line, i chose(8 , 120) and (4 , 240)  

use the slope formula: y2-y1 over x2-x1

240-120=120 and 4-8= -4

so the slope is 120/-4 and that can be simplified to 30/-1 or -30

8 0
3 years ago
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