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2 years ago

The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24?

1 answer:

4 0

We may answer the question above by dividing the expression y² - 10x + 24 with the given factor, y - 4. The division would give an answer of y - 6. Thus,

y² - 10x + 24 = (y - 4)(y - 6)

The answer is the fourth choice, y - 6.

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The following histogram represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. In

Mila [183]

Answer:

Option b. just below 30%

Explanation:

Please, see attached the histogram that represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004.

The median is the value that separates the lower 50% from the upper 50% of the data.

Since there are 25 business schools, the middle value is the number 13.

The height of each bar is the frequency or number of business school for that acceptace rate:

The first bar has frequency of 1 school
The second bar has frequency of 3 schools: cummulative frequency: 1+3=4.
The third bar has frequency 5 schools: cummulative frequency 4 + 5 = 9.
The fourth bar has frequency 3 schools: cummulative frequency: 9+3=12.

Then, the 13th value is on the next bar, the fifth bar.

The fifth bar has acceptance rates 25 ≤ rate < 30.

That means that the median acceptance rate is greater than or equal to 25 and less than 30.

Thus, the choice is the option b. just below 30%.

3 0

1 year ago

Select the correct answer.

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

because the points in the plot point graph are all close to the line which indicates a strong association.

Also the slope isn't closer to 0 than to 1 so that eliminates those answers.

3 0

1 year ago

Alayna worked 44 hours last week. Her hourly rate is $9.00. Alayna's gross pay for last week was $

Mama L [17]

44 x 9 = $396.00

It's really that easy to find the answer. Hope you have a nice day!

6 0

1 year ago

Read 2 more answers

Compute the integral (a) int sin (pi x) dx by letting u = pi x. (b) int e^(x/2) dx by letting u = x/2. Show that you got the cor

Maslowich

Answer:

(a) $\int sin(\pi x) dx$ $=-\frac {cos \pi x}{\pi}+c$

(b) $\int e^\frac{x}{2} dx$ $=2e^\frac{x}{2}+c$

Step-by-step explanation:

(a)

$\int sin(\pi x) dx$

Let u = π x

differentiating with respect to x

du = π dx

$\Rightarrow dx=\frac{du}{\pi}$

Putting the value of x and dx

$=\int sin u \frac{du}{\pi}$

$=\frac{-cos u}{\pi}+c$ [ c is an arbitrary constant]

Now putting the value of u

$=-\frac {cos \pi x}{\pi}+c$

(b)

$\int e^\frac{x}{2} dx$

Let $u=\frac{x}{2}$

differentiating with respect to x

$du= \frac{1}{2} dx$

2du = dx

Putting the value of x and dx

= $\int e^u.2.du$

= $2e^u +c$

Now putting the value of u

$=2e^\frac{x}{2}+c$ [ c is an arbitrary constant]

3 0

2 years ago

Triangle L N M is shown. Angle L N M is a right angle. An altitude is drawn from point N to point O on side L M, forming a right

zaharov [31]

Answer:

Therefore the value of k = 6.

Step-by-step explanation:

Given:

LN = m

NM = l

OM = k

NO = 4

LO = 8

LM = 8 + k and

Δ LNM ,Δ LON and Δ MON are right Triangle.

To Find :

Om = k = ?

Solution:

In Right angle Triangle By Pythagoras Theorem we have,

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

So, In Right angle Triangle Δ LON we have,

LN² = ON² + OL²

m² = 4² + 8²

m² = 80 ............( 1 )

Now in Right angle Triangle Δ MON we have,

MN² = ON² + MO²

l² = 4² + k² ....................( 2 )

Now In Right angle Triangle Δ LNM we have,

LM² = LN² + MN²

(8 + k)² = m² + l² .................( 3 )

Substituting equation 1 and equation 2 in equation 3

(8+k)² = 80 + 4² + k²

Applying (A+B)² = A² +2AB + B² we get

$64 + 16k+k^{2} = 80+ 16 +k^{2} \\\\16k=96\\\\\therefore k=\frac{96}{16} \\\\\therefore k=6$

Therefore the value of k = 6.

4 0

1 year ago

Read 2 more answers