All categories

3 years ago

Rewrite the polynomial in standard form-x²/3 + 9 + 7x

Mathematics

1 answer:

zloy xaker [14]3 years ago

3 0

Answer: -x² + 21x + 27

Step-by-step explanation:

Multiply by 3:

-x² + 27 + 21x

You might be interested in

A clothing store sells men's hats for $30 each. At this price, the store sells 100 men's hats per week. The owner estimates that

Mkey [24]

Answer:

Step-by-step explanation:

At this price, the store sells 100 men's hats per week. The owner estimates that for every $1 increase in price, one fewer men's hat is sold per week

6 0

3 years ago

Alice bought of a pound of grapes and ate of a pound. How many pounds were left?

vivado [14]

None. She ate the pound she bought.

7 0

3 years ago

Read 2 more answers

What are the x and y intercept for the graph of 4x - 3y = -12

Mama L [17]

Answer:

(-3,0) = x and (0,4) = y

Step-by-step explanation:

7 0

3 years ago

What is the inverse and restricted domain of the equation 8x^2-3

kari74 [83]

Answer: $\bold{y=\pm \dfrac{\sqrt{2(x+3)}}{4},\qquad x\neq -3}$

Step-by-step explanation:

y = 8x² - 3 (Restriction: none - x is All Real Numbers)

The inverse is when you swap the x's and y's and then solve for y

x = 8y² - 3 swapped the x and y

x + 3 = 8y² added 3 to both sides

$\dfrac{x+3}{8}=y^2$ divided both sides by 8

$\sqrt{\dfrac{x+3}{8}}=\sqrt{y^2}$ square rooted both sides

$\pm \sqrt{\dfrac{x+3}{8}}=y$ simplified

$\pm \sqrt{\dfrac{x+3}{8}\bigg(\dfrac{2}{2}\bigg)}=y$ rationalized the denominator

$\pm \sqrt{\dfrac{2(x+3)}{16}}=y$ simplified

$\pm \dfrac{\sqrt{2(x+3)}}{4}=y$ simplified

Restriction:

The radical (inside the square root sign) cannot be negative

→ 2(x + 3) ≥ 0

x + 3 ≥ 0 divided both sides by 2

x ≥ -3 subtracted 3 from both sides

4 0

3 years ago

To win a trivia game, Nathan must score at least 75 points. Each correct answer is worth 2 1/2 points , and each incorrect answe

Dmitrij [34]

Answer:

He scored $79\frac{1}{2}$ points.

Step-by-step explanation:

Given:

Number of points for a correct answer = $2\frac{1}{2}$

Number of points scored for an incorrect answer = $-\frac{1}{4}$

Therefore, for 35 correct answers, points scored = $35\times 2\frac{1}{2}=35\times \frac{5}{2}=\frac{175}{2}$

Now, for 32 incorrect answers, points scored = $32\times -\frac{1}{4}=-\frac{32}{4}=-8$

Therefore, net number of points scored by Nathan is:

$\frac{175}{2}-8=\frac{175}{2}-\frac{16}{2}=\frac{175-16}{2}=\frac{159}{2}=79\frac{1}{2}$

Therefore, Nathan scored $79\frac{1}{2}$ points.

3 0

3 years ago

Rewrite the polynomial in standard form-x²/3 + 9 + 7x​

Rewrite the polynomial in standard form-x²/3 + 9 + 7x