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Ostrovityanka [42]
3 years ago
14

Solve 2w^2– 16w = 12W – 48 by factoring. Select the solution(s)

Mathematics
1 answer:
UkoKoshka [18]3 years ago
3 0

Answer:

w=12 or w=2

Step-by-step explanation:

2w^2-16w=12w-48

2w^2-28w=-48

2w^2-28w+48=0

2(w^2-14w+24)=0

2(w-12)(w-2)=0

(w-12)(w-2)=0

w=12 or w=2

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What is the value of the expression –7 – 5 + 4?
vichka [17]
By solving this problem, I got D.-8.Right?
6 0
4 years ago
Beau Buys a 3 pound bag of trail mix for a hike. He wants to make 1 ounce bags for his friends with whom he is hiking. How many
qwelly [4]
Beau can make 48 bags of 1 ounce trail mix because a pound equals 16 ounces so you multiply 16 times the 3 pounds she has.
4 0
3 years ago
The steps to convert 18 over 8 to a decimal are shown below: Division is shown with divisor 8 and quotient 2.35 and dividend 18.
natka813 [3]

Answer:

Step 2

18 over 8 to a decimal is 2.25

Step-by-step explanation:

Step 1, 20, subtract 16 labeled as

Step 2, 40 labeled as

Step 3, subtract 40, and 0 labeled as Step 4.

Divisor = 8

Divided = 18

Quotient = 2.25

2.25

8 √18

- 16

2 0

- 16

4 0

- 40

0

The first error is at step 2

18 over 8 to a decimal is 2.25

See the attached image for better understanding

4 0
3 years ago
If f and t are both even functions, is the product ft even? If f and t are both odd functions, is ft odd? What if f is even and
Natali5045456 [20]

Answer:

(a) If f and t are both even functions, product ft is even.

(b) If f and t are both odd functions, product ft is even.

(c) If f is even and t is odd, product ft is odd.

Step-by-step explanation:

Even function: A function g(x) is called an even function if

g(-x)=g(x)

Odd function: A function g(x) is called an odd function if

g(-x)=-g(x)

(a)

Let f and t are both even functions, then

f(-x)=f(x)

t(-x)=t(x)

The product of both functions is

ft(x)=f(x)t(x)

ft(-x)=f(-x)t(-x)

ft(-x)=f(x)t(x)

ft(-x)=ft(x)

The function ft is even function.

(b)

Let f and t are both odd functions, then

f(-x)=-f(x)

t(-x)=-t(x)

The product of both functions is

ft(x)=f(x)t(x)

ft(-x)=f(-x)t(-x)

ft(-x)=[-f(x)][-t(x)]

ft(-x)=ft(x)

The function ft is even function.

(c)

Let f is even and t odd function, then

f(-x)=f(x)

t(-x)=-t(x)

The product of both functions is

ft(x)=f(x)t(x)

ft(-x)=f(-x)t(-x)

ft(-x)=[f(x)][-t(x)]

ft(-x)=-ft(x)

The function ft is odd function.

7 0
3 years ago
The sick days of employees every two years in a company are normally distributed with a population standard deviation of 7 days
Alecsey [184]

Answer:

The 95% confidence interval for the population mean is between 17.93 days and 24.07 days.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{7}{\sqrt{20}} = 3.07

The lower end of the interval is the sample mean subtracted by M. So it is 21 - 3.07 = 17.93 days

The upper end of the interval is the sample mean added to M. So it is 21 + 3.07 = 24.07 days

The 95% confidence interval for the population mean is between 17.93 days and 24.07 days.

7 0
3 years ago
Read 2 more answers
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