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andrezito [222]

3 years ago

12

The director of an animal shelter need to raise more than $50,000 during a fundraiser. Write an inequality that represents the a

mount of money m in dollars that the director need to raise. So an inequality that describes the amount of money m in dollars is______

1 answer:

mr_godi [17]3 years ago

5 0

Answer:

m > 50,000

This means the money, m, will be greater than 50,000

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According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?

notsponge [240]

<u>Answer-</u>

$\boxed{\boxed{\frac{7}{3}}}$

<u>Solution-</u>

Rational Root Theorem-

$f(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+.......+a_1x+a_0\ \ \ and\ a_n\neq 0$

All the potential rational roots are,

$=\pm (\dfrac{\text{factors of}\ a_0}{\text{factors of}\ a_n})$

The given polynomial is,

$f(x) = 9x^8 + 9x^6-12x + 7$

Here,

$a_n=9,\ a_0=7\\\\\text{factors of}\ 9=1,3,9\\\\\text{factors of}\ 7=1,7$

The potential rational roots are,

$=\pm \frac{1}{1},\pm \frac{1}{3}, \pm \frac{1}{9}, \pm \frac{7}{1}, \pm \frac{7}{3}, \pm \frac{7}{9}$

$=\pm 1,\pm \frac{1}{3}, \pm \frac{1}{9}, \pm 7, \pm \frac{7}{3}, \pm \frac{7}{9}$

From, the given options only $\frac{7}{3}$ satisfies.

6 0

3 years ago

Read 2 more answers

9.80x10^-3 + 1.60x10^-4 scientific notation

e-lub [12.9K]

<span>0.00996 would be it I just took a quiz like that but good luck</span>

6 0

3 years ago

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3xsquare-9x-30=0<br> What’s the answer

BartSMP [9]

Answer:

x = - 2 or x = 5

Step-by-step explanation:

Given

3x² - 9x - 30 = 0 ← in standard form

Divide all terms by 3

x² - 3x - 10 = 0

To factor the quadratic

Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (- 3)

The factors are - 5 and + 2, since

- 5 × 2 = - 10 and - 5 + 2 = - 3, thus

x² - 3x - 10 = 0

(x - 5)(x + 2) = 0

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 2 = 0 ⇒ x = - 2

6 0

3 years ago

A rectangle has a perimeter of 34 cm and an area of 52 cm2. its length is 5 more than twice its width. write and solve a system

Vsevolod [243]

Width=4cm
length=13cm

3 0

4 years ago

Help me solve this I wil give brainliest and 40 points

Verizon [17]

Answer:

Slope: $-\dfrac{1}{2}$

Equation: $y=-\dfrac{1}{2}x+8$

Step-by-step explanation:

The line of the best fit passes through the points (0,8) and (4,6).

If the line passes through the points $(x_1,y_1)$ and $(x_2,y_2)$ then the slope of the line is

$\dfrac{y_2-y_1}{x_2-x_1}$

Hence, the slope of the line of the best fit is

$\dfrac{6-8}{4-0}=\dfrac{-2}{4}=-\dfrac{1}{2}$

The equation of the line is

$y=mx+b,$

where m is the slope and b is y-intercept, so the equation of the line of the best fit is

$y=-\dfrac{1}{2}x+8$

4 0

3 years ago