Ask question

Ask question

All categories

Katyanochek1 [597]

3 years ago

14

The product of 2 consecutive integers is 306

1 answer:

CaHeK987 [17]3 years ago

5 0

Answer:

Two consecutive positive integers are 17 and 18. Or -17 and -18.

Step-by-step explanation:

Let the consecutive integers be x and x+1

x (x+1)=306 --> x^2 + x-306=0

x^2+18x-17x-306=0

x(x+18)-17(x+18)=0

or

(x-17)(x+18)=0

You might be interested in

Condense the log equation: 4 log x + log y - 5 log z

Setler [38]

Answer:

The condensed log equation is: $\log{\frac{x^4y}{z^5}}$

Step-by-step explanation:

We use these following logarithm properties to solve this question:

$a\log{x} = \log{x^a}$

$\log{a} + \log{b} = \log{ab}$

$\log{a} - \log{b} = \log{\frac{a}{b}}$

In this question:

$4\log{x} = \log{x^4}$

$5\log{5} = \log{z^5}$

So

$4\log{x} + \log{y} - 5\log{z}$

Becomes:

$\log{x^4} + \log{y} - \log{z^5}$

Now applying the addition and subtraction properties, we have:

$\log{\frac{x^4y}{z^5}}$

The condensed log equation is: $\log{\frac{x^4y}{z^5}}$

7 0

2 years ago

Is the ratio orange to blue 3 to 4 equivalent to 12 to 9

tamaranim1 [39]

No If it was 4 to 3 then yes but 4 can't be multiplied by anything to equal 9

3 0

3 years ago

Which phrase is a description of 7n+11?

ivann1987 [24]

Answer:

n=18

Step-by-step explanation:

7n+11?

n=7+11

7+11=18

n=18

4 0

2 years ago

URGENT HELP PLEASE!

Vaselesa [24]

Answer:

(a) $x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b) $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$ .

(a)

$\sqrt{2}\sin 2x=1$

$\sin 2x=\dfrac{1}{\sqrt{2}}$

$\sin 2x=\dfrac{\pi}{4}$

$2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}$ $[\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]$

$x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b)

$\csc^2 x-\csc x-2=0$

$\csc^2 x-2\csc x+\csc x-2=0$

$\csc x(\csc x-2)+1(\csc x-2)=0$

$(\csc x+1)(\csc x-2)=0$

$\csc x=-1\text{ or }\csc x=2$

$\sin x=-1\text{ or }\sin x=\dfrac{1}{2}$ $[\because \sin x=\dfrac{1}{\csc x}]$

$x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Therefore, $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$ .

5 0

2 years ago

a bird is in a tree 30 feet off the ground and drops at Twigs at lands on a rose bush 25 ft below. the function h(t)=-16t^2+30,

Serggg [28]

Answer: It will land on the bush after 1.25 seconds.

First, we will start with what we are given the equation: h(t) = -16t^2 + 30

Now, we should input a 5 for the h(t) because we want the seconds that will give us a height of 5 seconds.

5 = -16t^2 + 30

Solve the equation:
0 = -16t^2 + 25

To solve this, you could use the quadratic formula or factor out a -1 and you will have the difference of two squares.

Either way the answer is 1.25 seconds.

5 0

2 years ago

Read 2 more answers