All categories

4 years ago

4. Simplify the expression:

Mathematics

1 answer:

Natalija [7]4 years ago

3 0

Answer:

Step-by-step explanation:

$7x^2-6+4x+7-5x^2+x\qquad\text{combine like terms}\\\\=(7x^2-5x^2)+(4x+x)+(-6+7)\\\\=2x^2+5x+1$

You might be interested in

You are to be given three numbers to arrange from smallest to largest. You are told that one of the numbers is 0, one is a posit

lesya692 [45]

Answer:

negative number, 0, positive number

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

A swimming pool is being filled at the rate of 54 pt/min (pints per minute). How many quarts per hour is this?

Rainbow [258]

Answer:

Approximately $1620\; \text{quart} / \text{hour}$ .

Step-by-step explanation:

The given quantity was in the unit $\displaystyle \frac{\text{pint}}{\text{minute}}$ while the required quantity should have the unit $\displaystyle \frac{\text{quart}}{\text{hour}}$ . It would thus be necessary to use conversion factors of the following forms:

$\begin{aligned}\frac{\text{pint}}{\text{minute}} \times \underbrace{\frac{\text{minute}}{\text{hour}} \times \frac{\text{quart}}{\text{pint}}}_{\text{conversion factors}} &= \frac{\text{quart}}{\text{hour}} \end{aligned}$ .

Make use of the fact that:

$1\; \text{pint} = 0.5\; \text{quart}$ , and
$60\; \text{minute} = 1\; \text{hour}$ .

Rearrange the equation $1\; \text{pint} = 0.5\; \text{quart}$ to obtain the conversion factor:

$\begin{aligned} 1 &= \frac{0.5\; \text{quart}}{1\; \text{pint}}\end{aligned}$ .

Similarly, rearrange the equation $60\; \text{minute} = 1\; \text{hour}$ to obtain the conversion factor:

$\begin{aligned} 1 &= \frac{1\; \text{hour}}{60\; \text{minute}}\end{aligned}$ .

Combine both conversion factors and evaluate:

$\begin{aligned} & 54\; \frac{\text{pint}}{\text{minute}} \\ =\; & 54\; \frac{\text{pint}}{\text{minute}} \times \frac{0.5\; \text{quart}}{1\; \text{pint}} \times \frac{60\; \text{minute}}{1\; \text{hour}} \\ =\; & (54 \times 0.5 \times 60) \; \frac{\text{pint} \times \text{quart} \times \text{minute}}{\text{minute} \times \text{pint} \times \text{hour}} \\=\; & 1620\; \frac{\text{quart}}{\text{hour}}\end{aligned}$ .

5 0

3 years ago

Read 2 more answers

Help me asap ....................

OLEGan [10]

Answer:

x = 0 or x = -8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

17=x2+8x+17

Step 2: Subtract x^2+8x+17 from both sides.

17−(x2+8x+17)=x2+8x+17−(x2+8x+17)

−x2−8x=0

Step 3: Factor left side of the equation.

(−x)(x+8)=0

Step 4: Set factors equal to 0.

−x=0 or x+8=0

x=0 or x=−8

8 0

3 years ago

If a rectangular patio has a length that is 5 feet longer than its width and a perimeter of 54 feet, solve for the length.

BlackZzzverrR [31]

Answer: (3)

Step-by-step explanation:

In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.

Step 1: Draw a rectangle where the width is x and the length is x + 5.

Step 2: Find the sum of the lengths and the sum of the widths

2 times the length plus 2 times the width equals the perimeter

2(x + 5) + 2(x) = 54

Step 3: Solve for the width

2(x + 5) + 2(x) = 54

2x + 10 + 2x = 54 (Distributive Property)

4x + 10 = 54 (Group Like Terms)

4x = 44 (Subtraction Property of Equality)

4x/4 = 44/4

x = 11 (Division Property of Equality)

x = width = 11

Step 4: Solve for the length

x + 5 = length

11 + 5 = 16

Length = 16. So (3) must be the answer.

4 0

3 years ago

PLEASE HELP ILL GIVE MORE IF ITS RIGHTTTTT

dolphi86 [110]

The answer is a. Tell me if im wrong

5 0

3 years ago