MATHEMATICS HIGH SCHOOL

Factorise x2-10x-24 plz help ​

Answers

Answer 1
Answer:

Answer:

(х-4)(х-6)

Step-by-step explanation:

х¹= 4

х²=6

easy
Answer 2
Answer:

Answer:

(x - 12)(x + 2)

Step-by-step explanation:

Given

x² - 10x - 24

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 12 and + 2 , since

- 12 × + 2 = - 24 and - 12 + 2 = - 10 , thus

x² - 10x - 24 = (x - 12)(x + 2) ← in factored form

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I will mark you brainliest for the right answer and you must HURRY to get it! 15 points!
What is the sum of a number and 37?
Can someone help me ? Please
What is the property, transformation, or simplification used in each step of this problem?    x-7=34                                                                                                                                         x-7+7=34+7                                                                                                                                 x+0=34+7                                                                                                                               x=34+7                                                                                                                                       x=41

4) Pas sock drawer contains only black socks and white socks. There are 28 pairs of socks altogether. The ratio of bsocks towhite socks is 2 to 5. How many pairs of black socks does Pa own?pairs

Answers

There are 8 black socks and 20 white socks. 5 socks times 4 = 20 white socks, and 2 socks times 4 = 8 black socks. So, Pa has 8 black socks.

A coffee machine can be adjusted to deliver any fixed number of ounces of coffee. if the machine has a standard deviation in delivery equal to 0.4 ounce, what should be the mean setting so that an 8-ounce cup will overflow only 0.5% of the time?

Answers

The mean will be calculates as follows; from the formula of z-score we shall have:
z=(x-μ)/σ
the z-score associated with 0.5% is 0
thus
0=
(8-μ)/0.4=0
solving for x we get:
μ=9 

Answer: μ=9

Final answer:

The question can be addressed using the principles of Normal Distribution. Given the z-chart, 8 ounces is the observed value for the 99.5th percentile, which equates to approximately 2.58 standard deviations. Therefore, the mean setting of the coffee machine should be set around 8 ounces for the cup to overflow only 0.5% of the time.

Explanation:

The situation described in the question is a typical case of application of Normal Distribution. As a reminder, in a Normal Distribution, 99.7% of the values lie within 3 standard deviations of the mean. The question states that the cup should overflow only 0.5% of the time. Therefore, we need to consider the 99.5% of the left side under the normal curve (as we're considering the upper limit), which corresponds to around 2.58 standard deviations under the normal curve.

Given that the standard deviation (σ) is 0.4 ounces, using the formula X = μ + Zσ (where Z is the Z-score corresponding to the desired percentile, μ is the mean we want to find, and X is the threshold value where the cup overflows at 8 ounces), we can substitute the known values and solve for μ.

Therefore, 8 = μ + 2.58 * 0.4 Solving for μ gives us around μ = 7.966, or about 8 ounces. Hence, the mean setting of the coffee machine should be set around 8 ounces to ensure that the cup will overflow only 0.5% of the time.

Learn more about Normal Distribution here:

brainly.com/question/34741155

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A music festival charges $54.95 per ticket sold on the day of the event. A ticket purchases before the festival costs only $39.95. They were 20,000 tickets sold for a total of 925,000. How many tickets did they sell at the music festival? How many tickets do they sell before the music festival?

Answers

b=number of ticets sold before
a=number of tickets sold after

cost of a ticket=number of tickets times cost per ticket
beforecost=39.95b
aftercost=54.95a

total cost=925000
39.95b+54.95a=925000

total number tickets=20000
b+a=20000

we have

39.95b+54.95a=925000
b+a=20000
multiply second equation by -39.95 and add to first equatin
39.95b+54.95a=925000
-39.95b-39.95a=-799000 +
0b+15a=126000

15a=126000
divide bot sides by 15
a=8400

sub back
b+a=20000
b+8400=20000
minus 8400 both sides
b=11600




11,600 tickets sold before
8400 tickets sold after

Five more than four times a number is greater than seven​

Answers

Answer:

5+ 4x > 7, x > 1/2

Step-by-step explanation:

A swimmer dives to 65 feet below the surface of the ocean. Write the integer that represents the depth of the dive

Answers

Answer:

The integer is -65

Step-by-step explanation:

Hope that helps

Answer:The integer is -65

The seventh term of an arithmetic sequence is 21, the tenth term is 126. The first term is

Answers

Hi,
a_(10)=a_0+10*r\na_7=a_0+7*r\na_(10)-a_7=3\ \Rightarrow 126-21=3r\ \Rightarrow r=35\na_7=a_0+7*r\ \Rightarrow 21=a_0+7*35\n\Rightarrow a_0=-224\n\Rightarrow a_1=-224+35\n\boxed{a_1=-189}
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