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2 years ago

The equation A = x(x - 7) describes the area, A, of a rectangular flower garden, where x is the width in feet.

Mathematics

1 answer:

mamaluj [8]2 years ago

8 0

x(x-7)=8

x^2-7x-8=0

(x-8)(x+1)=0

so x=8 (and -1 but width can’t be negative)

So your answer is C. 8

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What is 2.03 written in words and numbers?

Rudiy27

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2 years ago

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2 years ago

Write a quadratic function for each graph described.

user100 [1]

Answer:

$y=2x^2-\frac{4}{3}x-\frac{10}{3}$

Step-by-step explanation:

we know that

The roots of the quadratic function (x-intercepts) are

x=-1 and x=5/3

we can write the equation of the parabola as

$y=a(x+1)(x-\frac{5}{3})$

where

a is a coefficient

Remember that

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substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a

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$40=a(5+1)(5-\frac{5}{3})$

$40=a(6)(\frac{10}{3})$

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substitute

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apply distributive property

$y=2(x^2-\frac{5}{3}x+x-\frac{5}{3})\\\\y=2(x^2-\frac{2}{3}x-\frac{5}{3})\\\\y=2x^2-\frac{4}{3}x-\frac{10}{3}$

see the attached figure to better understand the problem

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2 years ago

48 notebooks to 14 notebooks

rewona [7]

Set up a x/100 = (14-48)/48 = -34/48 Multiply the cross 48x = -3400 x = 70.8333 so around -70.83% change

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2 years ago

1.) Some banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation y = 5000 * (

oee [108]

Answer:

a. The initial amount of money that was left in this savings account was of 5000.

b. Decrease of 2% each year.

Step-by-step explanation:

Exponential function:

An exponential function, with an initial value of A(0), and a decay rate of r, as a decimal, is given by:

$A(t) = A(0)(1-r)^t$

In this question, we have:

$y = 5000*(0.98)^x$

a. What was the initial amount of money that was left in this savings account?

This is y(0) = 5000

The initial amount of money that was left in this savings account was of 5000.

b. What is the percent of change each year in this savings account?

First as a decimal.

1 - r = 0.98

r = 1 - 0.98

r = 0.02

So a decrease of 2% each year.

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2 years ago