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2 years ago

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Mathematics

1 answer:

USPshnik [31]2 years ago

4 0

Answer:

Step-by-step explanation:

y = m(x-a)^2 + b, where (a,b) is the vertex and m is a constant.

The vertex is (3,-5), so the equation is y = (x-3)^2 - 5

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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

Ms. Sloane earns an 8% commission on her total sales. In February, Ms. Sloane's total sales were $29,250. In March, Ms. Sloane's

sweet-ann [11.9K]

Answer:

$278

Step-by-step explanation:

8% of 29,250 = 2340

8% of 32,725 = 2618

2618 - 2340 = 278

she earned $278 dollars more in march than in february.

3 0

2 years ago

Solve the inequality. 12x – 3x + 11 > 4x – (17 – 9x)

musickatia [10]

Answer:

20>4

Step-by-step explanation:

12-3 forget about the x 12-3=9 . 9+11=20

(17-9)=8 . 8-4 =4

so your answer is correct

6 0

3 years ago

Read 2 more answers

A vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. What is the volume of the solid

saw5 [17]

Answer:

$V_{s} = \frac{\pi}{4}\cdot D_{out}^{2} \cdot h -\frac{\pi}{4}\cdot (D_{out}-2\cdot t)^{2}\cdot (h-t)$

Step-by-step explanation:

The geometric description of the vase is described in the image attached below. The volume of the solid part of the vase is:

$V_{s} = V_{out} - V_{in}$

$V_{s} = \frac{\pi}{4}\cdot D_{out}^{2} \cdot h -\frac{\pi}{4}\cdot (D_{out}-2\cdot t)^{2}\cdot (h-t)$

Where:

$D_{out}$ - Outer diameter, in centimeters.

$t$ - Vase thickness, in centimeters.

3 0

3 years ago

a vender sold a combined total of 102 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Fi

maxonik [38]

Answer:

34 hotdogs were sold

68 sodas sold

4 0

3 years ago