Solve (s)(-3st)(-1/3)

What is the solution: (9x+2)(4x^2+35x-9)=0

Dmitrij [34]

$(9x+2)(4x^2+35x-9)=0\\\\9x+2=0\\9x=-2\\x=-\frac29\\or\\4x^2+35x-9=0\\\Delta=1225+144=1369\ \ \sqrt{\Delta}=37\\x_1=\frac{-35-37}{2 \cdot 4}=-9\\\\x_2=\frac{-35+37}{2\cdot 4}=\frac14\\\\x\in\{-9,-\frac29,\frac14\}$

5 0

3 years ago

Read 2 more answers

Which statement about a rotation is true? A. Rotating a right trapezoid around its vertical axis will form a cone. B. Rotating a

yawa3891 [41]

Rotating a shape involves moving it in a circular way around its axis

The true statement about the rotation is (c) Rotating a right triangle around its vertical axis will form a cone.

<h3>How to determine the rotation?</h3>

When a two-dimensional shape such as triangles, trapezoid, square, rectangles, etc are rotated about their axes, the new shape formed is a three-dimensional shape

As a general rule, the rotation of a right triangle around its axis would form a cone.

Hence, the true statement about the rotation is (c)

Read more about rotation at:

brainly.com/question/4289712

3 0

2 years ago

- A new rectangular lawn has a

disa [49]

The number of bags of grass seed that are needed to seed the new rectangular lawn is approximately 19 bags .

<h3>Perimeter of a rectangle</h3>

The perimeter of a rectangle is the sum of the whole sides of the rectangle.

Therefore,

perimeter of the rectangle = 298 ft

The width is 67 ft.

Hence

perimeter of rectangle = 2(l + w)

where

l = length
w = width

Therefore,

298 = 2 ( l + 67)

298 = 2l + 134

298 - 134 = 2l

164 = 2l

l = 164 / 2

l = 82 ft

Therefore,

area of the rectangle = 82 × 67 = 5494 ft²

285 ft² = 1 bag of grass seed

5494 ft² = ?

cross multiply

number of bag of grass seed to fill the new rectangular lawn = 5494 / 285

number of bag of grass seed to fill the new rectangular lawn = 19.2771929825

learn more on rectangle here: brainly.com/question/16878024

5 0

2 years ago

Susan owes $15,000 in student loans. She pays $150 toward the debt every month. Represent the total amount that she owes as a fu

Sergio039 [100]

Answer:

f(x) = 15000 - 150x

Step-by-step explanation:

Given that:

Initial Amount owed = $15000

Amount payed towards debt per month = $150

Total amount owed as a function of month(x) after each payment :

F(x) = Initial amount owed - (amount paid per month * number of month)

Let number of month = x

f(x) = 15000 - 150x

Hence, the function ;

f(x) = 15000 - 150x represents the total amount owed after each payment.

8 0

3 years ago

The width of a rectangle is increasing at a rate of 5 inches per second and its length is increasing at the rate of 9 inches per

Marianna [84]

Answer:

The area of rectangle is changing at the rate of 33 square inches per second.

Step-by-step explanation:

We are given the following information:

Let W be the width of the rectangle and L be the length of rectangle.

Rate of change of width = $\frac{dW}{dt} = 5\text{ inches per second}$

Rate of change of length = $\frac{dL}{dt} = 9\text{ inches per second}$

We have to find rate of change of area at W = 2 and L = 3.

Rate of change of area = $\frac{dA}{dt}$

Area of rectangle = Length × Width

$\frac{dA}{dt} = \frac{d(LW)}{dt} = L\frac{dW}{dt} + W\frac{dL}{dt}$

Putting the values, we get

$\frac{dA}{dt} = 3(5) + 2(9) = 33\text{ square inches per second}$

The area of rectangle is changing at the rate of 33 square inches per second.

6 0

3 years ago