All categories

3 years ago

Factor by grouping 2u^3+3u^2-14u-21

Mathematics

2 answers:

nika2105 [10]3 years ago

8 0

(2u³+3u²)-(14u+21)
u²(2u+3)-7(2u+3)
(u²-7)(2u+3)
(u+√7)(u-√7)(2u+3)

mariarad [96]3 years ago

6 0

$\bf 2u^3+3u^2-14u-21\implies (2u^3+3u^2)-(14u+21)
\\\\\\
u^2(2u+3)-7(2u+3)\implies \stackrel{\stackrel{common}{factor}}{(2u+3)}(u^2-7)$

You might be interested in

Contains the point (-1, 2) and is parallel to x – 2y = -3

ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 2y = - 3 into this form

Subtract x from both sides

- 2y = - x - 3 ( divide all terms by - 2 )

y = $\frac{1}{2}$ x + $\frac{3}{2}$ ← in slope- intercept form

with m = $\frac{1}{2}$

• Parallel lines have equal slopes, thus

y = $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - $\frac{1}{2}$ + c ⇒ c = 2 + $\frac{1}{2}$ = $\frac{5}{2}$

y = $\frac{1}{2}$ x + $\frac{5}{2}$ ← in slope- intercept form

Multiply through by 2

2y = x + 5 ( subtract 2y from both sides )

0 = x - 2y + 5 ( subtract 5 from both sides )

- 5 = x - 2y, thus

x - 2y = - 5 ← in standard form

4 0

3 years ago

Mike ordered 3 cheese pizzas and 2 mushroom pizzas for his party. mike paid the same price for each pizza. the total cost was $5

Wittaler [7]

Answer is d. 3 + 2 = 5 and 50 ÷ 5 = 10

3 + 2 = 5

50/5 = $10

3 0

3 years ago

What is the domain of the function represented by the graph?

dezoksy [38]

Answer: Choice C. $x \ge -3$

============================================

Explanation:

The domain is the set of all allowed x inputs.

Here we see that x = -3 is the smallest x value possible as it is from the left-most point. The graph goes on forever to the right, so there is no largest x value. Effectively infinity is the largest x value even though infinity is not a number.

We can say the domain is $-3 \le x < \infty$ which can be simplified to $-3 \le x$ or $x \ge -3$

In short: x can be -3 or larger.

8 0

3 years ago

Suppose you drive a car 392 mi on a tank of gas. The tank holds 14 gallons. The number of miles traveled vaties directly with th

Serhud [2]

Preliminary Problem

Givens

Miles = m = 392 miles

Gallons = G = 14 gallons

Miles per gallon = mpg

Formula

miles = miles per gallon * number of gallons.

Solve

392 = mpg * 14 Divide by 14

392 / 14 = mpg

28 = mpg which is really quite good. Our vehicle gets 44 mpg but it's a 4 cylinder. It's meant to get that kind of milage.

Part A

Let x = the number of gallons used

Let y = the number of miles driven

y = k*x

Part B

y = k* x

k =28 mpg

11700 = 28*x

11700 /28 = x

x = 417.86

If this is incorrect please put some more facts in. The question does not seem complete.

7 0

3 years ago

Using the quadratic equation formula to solve 7x^2-x=7, what are the values of x

Gennadij [26K]

quadratic formula:

x = -b ± √(b² - 4ac)

7x² - x = 7

subtract 7 from both sides:

7x² - x - 7 = 0

plug values into the quadratic formula:

x = -(-1) ± √((-1)²- 4(7)(-7))

2(7)

simplify:

x = 1 ± √(197)

8 0

3 years ago