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3 years ago

What is (x+5)+2x^2=2x+1

Mathematics

2 answers:

andrew-mc [135]3 years ago

5 0

Answer:

Step-by-step explanation:

Area of Square = (x+5)²= x² + 10x + 25

Area of rectangle = 2x * x = 2x²

area of rectangle + 1 = Area of square

2x² + 1 = x² + 10x +25

2x² + 1 - x² - 10x - 25 = 0

x² - 10x - 24 = 0

(x - 12) (x + 2) = 0

x - 12 = 0 ; Ignore x + 2 because length wont come in negative

x = 12

xz_007 [3.2K]3 years ago

4 0

Answer:

No real solutions.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2x^2+x+5=2x+1

Step 2: Subtract 2x+1 from both sides.

2x^2+x+5−(2x+1)=2x+1−(2x+1)

2x^2−x+4=0

Step 3: Use quadratic formula with a=2, b=-1, c=4.

x= −b±√b2−4ac/2a

x= −(−1)±√(−1)^2−4(2)(4)/2(2)

x= 1±√−31/4

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For a two-tailed test with a sample size of 20 and a .20 level of significance, the t value is _____. Selected Answer: d. 1.328

Marianna [84]

Answer:

1.328

Step-by-step explanation:

Given :

Sample size, n = 20.

Degree of freedom, df = n - 1

df = 20 - 1 = 19

α = 0.2

Using the T-distribution calculator :

Since it is two - tailed:

Tα/2 ; 19 = T0.2/2 ; 19 = T0.1, 19 = 1.3277 = 1.328

3 0

3 years ago

In a game the player wins if he rolls a 6 on a number cube. If the number cube is rolled 18 times, then what is a reasonable pre

SVETLANKA909090 [29]

If the number cube is rolled 18 times, then the number of unsuccessful rolls = 90 unsuccessful rolls.

Step-by-step explanation:

step 1: A cube has six faces and each face is numbered from 1 to 6.

step 2: The win in the game requires the number 6, when a cube is rolled.

step 3: On rolling a cube, the outcomes are (1,2,3,4,5, and 6).

step 4: Out of these outcomes, 5 are unsuccessful rolls (1,2,3,4,5) and 1 is a successful roll (6).

step 5: If the cube is rolled 18 times,

then the number of unsuccessful rolls = 18 * 5 unsuccessful rolls

= 90 unsuccessful rolls.

8 0

3 years ago

P(n) models the price (in dollars) of a pack of n bulbs at a certain store.

ycow [4]

Answer:

Option A.

Step-by-step explanation:

The given question is incomplete. Here is the complete question.

P(n) models the price (in dollars) of a pack of n bulbs at a certain store.

When does the price of a pack increase faster ?

n 4 10 12

P(n) 12 25 28

When does the price of a pack increase faster ?

A. Between 4 and 10 bulbs

B. Between 10 and 12 bulbs

C. The price increases at the same rat over both the intervals.

To solve this question we will find the rate of increase in the prices per pack in the given intervals.

From n = 4 to n = 10

Rate of increase in price = $\frac{25-12}{10-4}$

= $\frac{13}{6}$

= 2.166 ≈ $2.17 per pack

From n = 10 to n = 12

Rate of increase in price = $\frac{28-25}{12-10}$

= $\frac{3}{2}$

= $1.5 per pack

Therefore, price per pack increases faster between n = 4 and n = 10 as compared to n = 10 to n = 12.

Option A is the answer.

8 0

3 years ago

Read 2 more answers

If n and k are positive integers, is n divisible by 6 ? (1) n = k(k + 1)(k – 1) (2) k – 1 is a multiple of 3.

xz_007 [3.2K]

Answer: yes, it is

Step-by-step explanation:

A number is divisible by 6 if it is divisible by 2 and 3 simultaniously.

n = k(k+1)(k-1)

If k-1 is a multiple of 3, n is divisible by 3, so one of the requirements is ok.

Now, if k-1 is a multiple of 3, it can be even or odd.

if k-1 is even, then it is divisible by 2 and as it is divisible by 3 as well, n is divisible by 6

if k-1 is odd, then k and k+1 is even, hence, divisible by 2.

As n = k(k+1)(k-1), n is also divisible by 6.

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3 years ago

1.morgan is 15 years old younger than Mrs.santtos their combined age is 442. jenny won the ping-pong championship eight more tim

swat32

If Morgan is 15 years younger then Mrs.Santos and there combined age is 442 that means that Mrs.Santos is 221, and Morgan is 206.

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3 years ago