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3 years ago

I need help in algebra

Mathematics

1 answer:

Fudgin [204]3 years ago

5 0

Answer:

Step-by-step explanation:

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Operations with rational expressions

Scorpion4ik [409]

$$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}$

Solution:

Given expression:

$$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}$

To solve the given expression:

First simplify: $\frac{50-2 w^{2}}{3 w^{2}+9 w-30}$

$$\frac{50-2 w^{2}}{3 w^{2}+9 w-30}=-\frac{2(w+5)(w-5)}{3(w-2)(w+5)}$

Cancel the common factor (w + 5).

$$=-\frac{2(w-5)}{3(w-2)}$

Now substitute this in the given expression.

$$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{2(w-5)}{3(w-2)} \cdot \frac{w^{2}+5 w-14}{6 w-30}$

Multiply the fractions $\frac{a}{b} \cdot \frac{c}{d}=\frac{a \cdot c}{b \cdot d}$

$$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{3(w-2)(6 w-30)}$

Factor the denominator $3(w-2)(6 w-30) =18(w-2)(w-5)$

$$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{18(w-2)(w-5)}$

Cancel the common factor 2(w – 5).

$$=-\frac{w^{2}+5 w-14}{9(w-2)}$

Factor the numerator $w^{2}+5 w-14=(w-2)(w+7)$

$$=-\frac{(w-2)(w+7)}{9(w-2)}$

Cancel the common factor (w – 2).

$$=-\frac{w+7}{9}$

$$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}$

3 0

3 years ago

Mrs. Glenn wanted to plan a fun day with her three children. An adult ticket to the local amusement park is $20. A child’s ticke

d1i1m1o1n [39]

Answer:

56$

Step-by-step explanation:

40% of 20 = 8 - 20 = 12 times 3 = 36+20=56

5 0

2 years ago

Helppp please I’ll give points to whoever answers it

sashaice [31]

Answer:

The solution is in the attached file

Step-by-step explanation:

Choose the examples you would like to use from the examples listed for both true and false

5 0

3 years ago

Seven wholes times 2 fifteenths

Margarita [4]

7 x 2/15

7 x 2 = 14

14/15 is your answer

hope this helps

4 0

4 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