factorise the following
a) 5x-x²
b) x²-6x-27
c) x²+x-56
d) x³+8
e) 3x⁴-54t
f) x²+3x-10
g) 2(x⁴+x³-12x²)
h) 20(x³-1)​

Answer:

The graph will shift 6 unit  left   and 3 units    left

Step-by-step explanation:

[tex]g(x) = \sqrt{x+6+3}[/tex]

Answer:

5.4 im pretty sure

Step-by-step explanation:

Answer:

Kim's age is twice of that of her sister. We'll let k2 = Kim and k = Kim's sister.

So, k2. When you add Kim's age to her sister age you get 36.

Because Kim is twice the age of her sister k2. And because it said 'add' then we put a + sign. k2 + s = 36. Now let's solve it.  

k2 + k = 36 < Given

3k = 36 < Combine like terms

k = 12 < Divide both sides by 3

We know Kim's sister is 12 y/o but what about Kim herself? Earlier we assigned Kim to k2. Substitute 12 for k and you get 12(2) = 24

Kim's sister is 12 y/o and Kim is 24 y/o

Step-by-step explanation:

Mark as brainliest please

Kim's age = x

Age of her sister = y

Acoording to conditions, [tex]x=2y[/tex]

The equation  is,

[tex]x+y = 30 \\\\\implies 2y + y = 30\\\\\implies 3y = 30 \\\\\implies y = 10\\\\x = 2y = 2(10) = 20\\\\\text{Hence, Kim is 20 years old and her sister is 10 years old.}[/tex]

Two points which can be identified from this information are; (4, 5.50) and (9, 8.00).

According to the question;

In essence, the information provided can be used to provide two points as follows; (4, 5.50) and (9, 8.00).

Read more:

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Answer:

P = a + b + c

P = (8x + 2) + (5x - 4) + (9x + 3)

P = 8x + 5x + 9x + 2 - 4 + 3

P = 22x + 1

I hope this helps.

Answer:

0.9 + n = 5.2

Step-by-step explanation:

Think about it, 0.9 increased by a number is 5.2

In other words, increasing 0.9 by a number will equal 5.2

So, increasing = adding, right?

Adding 0.9 to a number will equal 5.2

0.9 + n (a number) = 5.2

Answer:

88

Step-by-step explanation:

The triangles are congruent. Also, a triangle has a sum of 180 degrees for its interior angles.

Angles D and A are both unknown.

Angles O and P are both 55.

Angles G and W are both 37.

37+55 = 92

That means there would be 88 degrees left for the unknown angle to get to the total of 180 degrees.

92 + 88 = 180

Answer:

405

Step-by-step explanation:

Answer:

405

Step-by-step explanation:

Answer:

I got this from one of my textbook for the previous years

Hope this helps:)

Probabilities are used to determine the chance of events

The probability that she did NOT choose a boy either time is 1/3

The given parameters are given as:

[tex]\mathbf{n = 10}[/tex] --- total number of students

[tex]\mathbf{Boys = 4}[/tex] --- total number of boys

[tex]\mathbf{Girls = 6}[/tex] ---- total number of girls

If she did not choose a boy in either selection, then it means that both selections are girls.

So, the probability is calculated using:

[tex]\mathbf{P = P(Girl) \times P(Girl)}[/tex]

The selection is without replacement.

So, we have:

[tex]\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}[/tex]

Substitute known values

[tex]\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}[/tex]

[tex]\mathbf{P = \frac{6}{10} \times \frac{5}{9}}[/tex]

Simplify

[tex]\mathbf{P = \frac{1}{3}}[/tex]

Hence, the probability is 1/3

Read more about probabilities at:

https://brainly.com/question/11234923

Answer:

Part A: about 8%

Part B: about 65%

Step-by-step explanation:

Answer:y=3/4x+5

Step-by-step explanation:

Answer:

y=55

z=38

x=84

Step-by-step explanation:

Important thing to understand is that the angles in a triangle all add up to 180

A straight line also has an angle measure of 180

In the triangle on the left hand side. You can find y pretty easily

35+90 ( the angle is marked as a right angle) = 125

180-125 = 55

so y = 55

z can be found the same way

52+90 ( again marked) = 142

180-142 = 38

so z = 38

Since a straight line has a angle measure of 180 we can find x

z+y+x = 180

38+55+x=180

96+x=180

x=84

z:-

x

y:-

Answer:

Your anwser would be

5.45454545455

Step-by-step explanation:

since Chelsea has 11 times as many brushes as Monique ypo would need to divide 11 from 60 and that gets you 5.4545

Why because now that you have 5.4545mutiply that by 11 and you get 60 since Chelsea has 11 times as many brushes as Monique.

Answer:

34p - 16

Step-by-step explanation:

Perimeter = 8p + 2 + 8p + 2 + 9p - 10 + 9p - 10

Perimeter = 16p + 18p + 4 - 20

Perimeter = 34p - 16

-Chetan K

we have : [tex]P=2[(9p-10)+(8p+2)]= 2[9p-10+8p+2] = 2[17p-8] = 34p-16[/tex]

ok done. Thank to me :>

Answer:

Well lucy has a 50/50 chance to get a odd card so that is it

Step-by-step explanation:

The ratio of even cards to odd cards that Lucy has is 3:4 in its simplest form.

Let's denote the number of even cards as "x" and the number of odd cards as "y".

The probability of choosing an even card is given as [tex]\frac{3}{7}.[/tex]

The probability of choosing an even card is calculated by dividing the number of even cards by the total number of cards:

Probability of choosing an even card = Number of even cards / Total number of cards

Therefore, we have:

[tex]\frac{3}{7} = \frac{x}{x+y}[/tex]

To find the ratio of even cards to odd cards, we can set up the equation:

[tex]\frac{x}{y} = \frac{3}{4}[/tex]

Therefore, the ratio of even cards to odd cards that Lucy has is 3:4 in its simplest form.

To learn more on probability click:

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The area of the triangle is 24 square units.

Hope you could get an idea from it.

Doubt clarification - use comment section.

Answer:

Step-by-step explanation:

32,000

×. 4

Answer:

$33,280

Step-by-step explanation:

Since your salary is $32,000, you would take 4% from $32,000 and add it to the current salary. 4% can be shown as .04 in decimal form. If you multiply 32,000 by .04 you get 1280. Add 1,280 to 32,000 and you get 33,280.

Answer:

6/5 or 1 1/5

Step-by-step explanation:

Make a common denominator: 1/2 is equal to 5/10

7/10+5/10=12/10

12/10 simplified is 6/5

if the value of x is 1 then the y value is 6

Answer:

bro i got a B+ in math tooo!!!!!!!!

Step-by-step explanation:

yeah tell them!

Answer:

It's a low A and your working on bringing it up

Step-by-step explanation:

Answer:

23 and 10

Step-by-step explanation:

23 - 10 = 13

23 * 10 = 230

Answer:

10 and 23

Step-by-step explanation:

i guess is by multiplying 3by the first equation and multiply 2by the second equation

Answer: y= 9

Step-by-step explanation: x, y= 9

Answer:

0,3,6,9

Step-by-step explanation:

The divisibility rule for 3 is to add up all the digits and see if it's divisible by three. 1+1+4+6+6+3+9= is divisible by three. So the digit also has to be divisible by 3

Answer:

There are 4 possible answers and they are: 0, 3, 6 or 9

=======================================================

Explanation:

Recall the divisibility by 3 rule is that if the digits add to a multiple of 3, then the original number itself is also a multiple of 3.

Let x be the unknown digit. The number 11,466,x39 has its digits add to:

1+1+4+6+6+x+3+9 = x+30

Notice that 30 is a multiple of 3 since 30 = 3*10. This must mean x has to be a multiple of 3 as well. If x is a single digit and a multiple of 3, then we have the following options: {0,3,6,9}

If any of 0, 3, 6, or 9 replaces x, then the number 11,466,x39 is a multiple of 3.

In other words,

because all the digits add to some multiple of 3.

Answer:

perimeter=32t units

Step-by-step explanation:

let:

a=8t-2

b=8t+2

perimeter=2(a+b)

Subtitute values of a and b:

=2(8t-2+8t+2)

=2(16t)

=32t units

Answer:

look at the picture .......................

Answer:

  In general, no.

Step-by-step explanation:

f(-x) = -f(x) when the function is "odd." Such a function is symmetrical about the origin. This will not generally be the case, so, in general, -f(x) ≠ f(-x).

_____

Additional comment

When f(-x) = f(x), the function is "even." It is symmetrical about the y-axis.

Among trig functions, sin(x) is odd, and cos(x) is even.

Among polynomials, any polynomial with only odd-degree terms is odd; any polynomial with only even-degree terms is even.

Answer:

S=2

Step-by-step explanation:

the answer can not be higher than 2 because the inequality shows 9 is bigger than what is being added.

9 Is greater than or equal to 7+2

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's simpify the inequality ~

So, the values equal to or less than 2 should be the required solutions ~

that is ~