All categories

3 years ago

(3x - 5 - 7x^2) - (-2 + 6x^2 - 5x)

Mathematics

2 answers:

boyakko [2]3 years ago

7 0

Answer:

-13x^2+8x-3

Step-by-step explanation:

AfilCa [17]3 years ago

5 0

Answer:

-13x2 + 8x - 3

Step-by-step explanation:

You might be interested in

.A candle maker purchased packaging boxes to ship cylindrical candles to customers. The boxes measure 6 in. by 6 in. by 10 in. T

harina [27]

If you meant a thickness of 1/2 inch. . .
Because the inserts are put on all the sides, the dimensions of the usable space are 5 X 5 X 9. This means the diameter of the base is 5. The radius is half the diameter, so we divide 5 by 2 to get the radius. 5/2 = 2.5. Now, we plug in the radius and the height (9) into the formula for the volume of a cylinder, which is $volume= \pi r^{2} h$

$v= \pi 2.5^{2} *9=176.6 inches^{3}$

So, D is correct.

6 0

3 years ago

Solve the equation 5x=3x^2+1

Arte-miy333 [17]

Answer:

-1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5x=6x+1

Step 2: Subtract 6x from both sides.

5x−6x=6x+1−6x

−x=1

Step 3: Divide both sides by -1.

−x

/-1=1/-1

x=-1

May I get a Brainliest?

4 0

4 years ago

One non-negative number is the reciprocal of another number. The sum of the two numbers is a minimum. What are the two numbers

Troyanec [42]

The two numbers are 1 and 1.

Let the non-negative number be x and its reciprocal be y = 1/x

The sum of the two numbers is f(x,y) = x + y

= x + 1/x

= f(x)

For f(x) to be minimum, we differentiate it with respect to x and equate it to zero to find the value of x at which irt is minimum.

So, df(x)/dx = d(x + 1/x)/dx

= dx/dx + d(1/x)/dx

= 1 - 1/x²

Equating it to zero, we have

1 - 1/x² = 0

1 = 1/x²

x² = 1

Taking square-root of both sides, we have

x = ±√1

x = ±1

Since x is non-negative x = + 1

We differentiate f(x) again to determine if this value gives a minimum for f(x).

So, d²f(x)/dx² = d(1 - 1/x²)/dx

= d1/dx - d(1/x²)/dx

= 0 - × (-2/x³)

= 2/x³

Substituting x = 1 into the equation,

d²f(x)/dx² = 2/x³

= 2/1³

= 2 > 0.

So x = 1 is a minimum point for f(x)

Since x = 1 and y = 1/x, y = 1/1 = 1

So, the two numbers are 1 and 1.

Learn more about sum of two numbers here:

brainly.com/question/13854139

5 0

3 years ago

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

sergey [27]

Answer:

y = x⁴ − 9x² − 50x − 150

Step-by-step explanation:

Complex roots come in conjugate pairs. So if -1 + 3i is a root, then -1 − 3i is also a root.

y = (x − 5) (x + 3) (x − (-1 + 3i)) (x − (-1 − 3i))

y = (x − 5) (x + 3) (x + 1 − 3i) (x + 1 + 3i)

Distribute using FOIL (first, outer, inner, last) to get real coefficients:

y = (x − 5) (x + 3) (x² + (1 + 3i)x + (1 − 3i)x + (1 − 3i)(1 + 3i))

y = (x − 5) (x + 3) (x² + x + 3ix + x − 3ix + 1 + 3i − 3i − 9i²)

y = (x − 5) (x + 3) (x² + 2x + 1 + 9)

y = (x − 5) (x + 3) (x² + 2x + 10)

Distribute to convert from factored form to standard form:

y = (x² + 3x − 5x − 15) (x² + 2x + 10)

y = (x² − 2x − 15) (x² + 2x + 10)

y = x²(x² + 2x + 10) − 2x(x² + 2x + 10) − 15(x² + 2x + 10)

y = x⁴ + 2x³ + 10x² − 2x³ − 4x² − 20x − 15x² − 30x − 150

y = x⁴ − 9x² − 50x − 150

8 0

3 years ago

A Factory produces 24532 bulbs in a month. What is its annual<br> production?

Marina CMI [18]

Answer:

294, 384

Step-by-step explanation:

3 0

3 years ago

(3x - 5 - 7x^2) - (-2 + 6x^2 - 5x)​

(3x - 5 - 7x^2) - (-2 + 6x^2 - 5x)