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2 years ago

7

The length of a rectangle is 3 less inches than twice the width. Write an expression for the width and length. Using the two exp

ressions for the the length and width, write and simplify an expression for the area.

1 answer:

babunello [35]2 years ago

4 0

Answer:

2l-3=w with l=length and w=width, please note i am not actually in college but 7th grade

Step-by-step explanation:

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Find the x- and y- intercepts of parabola y=5x^2-16x+10

____ [38]

Y-INTERCEPT

$y = 5x^2 - 16x + 10$

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

$\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10$

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

$y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0$

We need to use the quadratic formula

The quadratic formula helps us find what values of $x$ make the equation = 0

Quadratic formula: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\$

The x-intercepts are at:

$(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)$

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1 year ago

During the summer months, science center tickets are 3 for $36.75 and zoo tickets are 4 for $51.00. How much will a group of 12

german

The science group will save $6 dollars

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2 years ago

Solve each system of equations algebraically y= x+5 y= -2x please help

Bas_tet [7]

Answer:

X= -5/3 Y= 10/3

Let me know if you need the work to be shown

7 0

2 years ago

I don't know how to explain it

Lemur [1.5K]

Answer:

Sam's thinking was incorrect.

On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.

But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Hello does anyone know how to solve this?

Radda [10]

Hello from MrBillDoesMath!

Answer: 2 ^ -4 ( = 1/16)

Discussion:

- 4 log {8} 2 {8} is used instead of subscript notation

Basic property of logarithms is that exponents become multipliers and vice versa:

-4 log {8} 2 = log {8} (2^ -4)

Thank you,

MrB

5 0

2 years ago