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docker41 [41]
2 years ago
9

Which expression is equivalent to 6x2 – 19x – 55?

Mathematics
2 answers:
seraphim [82]2 years ago
4 0
Answer, (6x + 11) (x - 5)
Vanyuwa [196]2 years ago
3 0

Answer:

Option D. (6x + 11)(x - 5)

Step-by-step explanation:

The given expression is 6x² - 19x - 55

We have to convert it into factored form as given in the various options.

6x² - 19x - 55 = 6x² - 30x + 11x - 55

6x(x - 5) + 11(x - 5)

(6x + 11)(x - 5)

Therefore, option D. (6x + 11)(x - 5) is the correct answer.

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James purchased five bonds of face value of $1,000 that paid 5% annual interest rate. the total annual interest income of james
Trava [24]
Given:
5 bonds of face value of 1,000 that paid 5% annual interest rate.

5 bonds x 1,000 = 5,000
5,000 x 5% x 1 year = 250

The total annual interest income of James is 250. Each bond earns 50 per annum.
8 0
1 year ago
Read 2 more answers
Pens cost 15 pence each.
ch4aika [34]

Answer:

The amount the school pays is £32.40

Step-by-step explanation:

The cost of each pen = 15 pence

The cost of each ruler = 20 pence

The number of pens bought by the school = 150

The number of rulers bought by the school = 90

The cost reduction (discount) on the items bought = 1/5

Therefore, we have;

The total cost of the pens bought by the school = 150 × 15 = 2250 = £22.50

The total cost of the rulers bought by the school = 90 × 20 = 1800 = £18.00

The total cost of the writing materials (rulers and pens) bought by the school = £22.50 + £18.00 = £40.50

The discount = 1/5 total cost reduction = 1/5×£40.50  = $8.10

The amount the school pays = The total cost of the writing materials - The discount

The amount the school pays = £40.50 - $8.10 =  £32.40

The amount the school pays =  £32.40.

7 0
1 year ago
Ms. Corley wants to take her class on a trip to either the nature center or the zoo the nature center charges $4 per student plu
lianna [129]
X- class members
y-total cost of a trip
The nature center: y=4$*x+95$
The zoo: y=9$*x+75$
4x+95=9x+75⇒5x=20⇒x=20/5
x=4, y=111
<span>If Ms. Corley has 22 students in her class, cost for nature center would be 4$*22+95$=183$ and for the zoo 9$*22+75$=273$.
The zoo would cost less.
</span>
3 0
1 year ago
Read 2 more answers
A population that consists of 500 observations has a mean of 40 and a standard deviation of 15. A sample of size 100 is taken at
Alex17521 [72]

Answer:

<h3>The option D) 1.50 is correct</h3><h3>That is the standard error of the sample mean is 1.50</h3>

Step-by-step explanation:

Given that a population that consists of 500 observations has a mean of 40 and a standard deviation of 15.

A sample size is 100  taken at random from the given population.

<h3>To find the standard error of the sample mean :</h3>

From the given Mean=40 and \sigma =15

For N=100

<h3>The formula for standard error is SE_{mean}=\frac{\sigma}{\sqrt{N}}</h3>

Substitute the values in the above formula we get

SE_{mean}=\frac{15}{\sqrt{100}}

=\frac{15}{10}

=1.50

∴ SE_{mean}=1.50

<h3>∴ The standard error of the sample mean is 1.50</h3><h3>Hence the option D) 1.50 is correct</h3>
7 0
2 years ago
Rachel, Mario and Sanjit share some money in the ratios 4 : 3 : 9 Mario receives £96. Work out the difference between the amount
joja [24]

Answer:

Step-by-step explanation:

If Marios share is 3 parts and is £96, then

Find one part = 96/3 = 32

So,

Rachel receives = 32 x 4 = £128

Sanjay receives = 32 x 9 = £288

Hope this helps

4 0
2 years ago
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