Which system has no solution?

Madeline has used 50 sheets of a roll of paper towels, which is 5/8 of the entire roll. The equation 5/8s = 50 can be used to fi

raketka [301]

Answer:

s=80

Step-by-step explanation:

5/8ths is .625

80 x .625 =50

4 0

4 years ago

PLEASE ANSWER

oksano4ka [1.4K]

Answer:

x² + 9x + 8 = (x + 1)(x + 8)

x² + 9x + 8 = (x + 8)(x + 1)

Step-by-step explanation:

* Lets explain how to factorize the polynomial using the pattern

- The form of the quadratic polynomial is x² + px + q, where p is the

coefficient of x and q is the numerical term

∵ x² + (a + b)x + (ab) = (x + a)(x + b)

- From the formula above the coefficient of x is the sum of the two

factors a and b

∴ p = a + b and q = ab

- That means p is the sum of two numbers and q is the product of

the same numbers

* Lets solve the problem

∵ x² + 9x + 8 is a quadratic polynomial

∵ x² + px + q is the form of quadratic polynomial

∴ p = 9 and q = 8

∵ p = a + b and q = ab

∴ a + b = 9 ⇒ (1)

∴ ab = 8 ⇒ (2)

- We must to find two numbers their product is 8 and their sum is 9

∵ The possibility of 8 as a product of two numbers is:

2 × 4 OR 1 × 8

∵ The sum of 1 + 8 = 9

∴ The value of a and b are 1 and 8

- It does't matter which of them = 1 or which of them = 8

∴ x² + (a + b)x + ab = x² + (1 + 8)x + (1)(9)

∵ x² + (a + b)x + (ab) = (x + a)(x + b)

∴ x² + (1 + 8)x + (1)(9) = (x + 1)(x + 8)

∴ x² + 9x + 8 = (x + 1)(x + 8)

- OR

∴ x² + 9x + 8 = (x + 8)(x + 1)

3 0

3 years ago

69. A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening midnigh

Oduvanchick [21]

Answer:

a. at least 20%, when in fact, it is less than 20%.

Step-by-step explanation:

Type 1 Error is to reject null hypothesis when it is actually true.

Here the null hypothesis is fewer than 20% of Evergreen Valley College (EVC) students attended the show.

In mathematics fewer than 20% means less than 20%.

So the null hypothesis is that less than 20 % students attended the show.

We have to reject this hypothesis .

We can reject this hypothesis when we assume that the % is greater than or equal to 20 %

At least 20% means greater than or equal to 20%.

So the best choice is option a.

at least 20%, when in fact, it is less than 20%.

6 0

3 years ago

Solve the given inequality and graph the solution on a number line -x/2 + 3/2 < 5/2

Daniel [21]

The correct answer is x>-2. The graph is attached.

To solve this:

-x/2 + 3/2 < 5/2

Subtract 3/2 from both sides:
-x/2 + 3/2 - 3/2 < 5/2 - 3/2
-x/2 < 2/2
-x/2 < 1

Multiply both sides by 2:
(-x/2)*2 < 1*2
-x < 2

Divide both sides by -1:
-x/-1 < 2/-1

Remember to flip the the symbol since you divide both sides by a negative:
x > -2

To graph the inequality, we draw a number line, making sure we have -2 on it. We circle -2 and leave it open, since it is strictly greater than. Then we shade the line to the left.

3 0

3 years ago

It takes 28 minutes for 7 people to paint 7 walls how many minutes does it take for 14 people to paint 14 walls

astraxan [27]

Answer:

56 because you have to multiply 28 times 2

5 0

3 years ago

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