Pls answer quick I will give brainliest

1. b) Factorise ➾ y² - 20y + 100

1. d) Factorise ➾ 48 - 13p - p²

2. d) Factorise ➾ 18y² - y - 4

2. e) Factorise ➾ 4m² - 27m + 18

1. b) y² - 20y + 100

⇝ y² - 10y - 10y + 100 ( Splitting middle term )

⇝ y ( y - 10 ) - 10 ( y - 10 )

⇝ ( y - 10 )(y - 10 ) Ans.

1. d) -p² - 13p + 48

⇝ -p² - 16p + 3p + 48 ( Splitting middle term )

⇝ -p ( p + 16 ) + 3 ( p + 16 )

⇝ ( p + 16 )(3 - p ) Ans.

2.d) 18y² - y - 4

⇝ 18y² - 9y + 8y - 4 ( Splitting middle term )

⇝ 9y ( 2y - 1 ) + 4 ( 2y - 1 )

⇝ ( 2y - 1 )( 9y + 4 ) Ans.

2.e) 4m² - 27m + 18

⇝ 4m² - 24m - 3m + 18 ( Splitting middle term)

⇝ 4m ( m - 6 ) - 3 ( m - 6 )

⇝ ( m - 6 )( 4m - 3 ) Ans.

Answer: No solutions

Step-by-step explanation:

You can either use substitution or elimination

You can plug in y to the first equation to get x-(x-4)=6 to get 4=6 which is not possible so no solutions

Answer:

$54,144

Step-by-step explanation:

To answer this question, we must break up the problem into separate parts. First, we know 10 out of 98 empolyees earn $150 per day, and they work 6 days a week. Therefore, we can multiply 150 by the amount they work each week, which is 6:

150 * 6 = 900

Now, we multiply that number by the amount of workers earning this money, which is 10:

900 * 10 = 9,000

Now, we know that 10 employees out of the 98 total earn $9,000 altogether, but we aren't finished.

Next, we look at the remaining 88 workers. They earn $85.50 per day, working 6 days a week as well. We must multiply these numbers:

85.50 * 6 = 513

Now, we multiply that number by the amount of workers earning this money, which is 88:

513 * 88 = 45,144

So, we know that the 88 employees earn $45,144 total during a work week, and the other 10 earn $9,000 total. We must now combine these numbers to get our final answer:

45,144 + 9,000 = 54,144

So, the factory pays out $54,144 each week

Hope this helps :)

Answer:

66 feet

Step-by-step explanation:

We know that the t in the equation represents the time. So, substitute 2 for the t in the function and simplify to find the height after 2 seconds:

[tex]h(t) = -16t^2+63t+4\\h(2) = -16(2)^2+63(2)+4\\h(2) = -16(4)+126+4\\h(2) = -64 + 126+4\\h(2) = 66[/tex]

Thus, the height would be 66 feet.

Answer:

[tex]N_l=270 litres[/tex]

Step-by-step explanation:

From  the question we are told

Total litres of water [tex]N_t=320[/tex]

Total litres removed [tex]N_r=50[/tex]

Generally the Total litres left in the tank N_l is mathematically given as

[tex]N_l=N_t-N_r[/tex]

[tex]N_l=320-50[/tex]

[tex]N_l=270 litres[/tex]

Therefore the total water left in the tank is

[tex]N_l=270 litres[/tex]

Answer:

y = -15x + 1900

Step-by-step explanation:

This is correct because, your base number is 1500, so that is your y-intercept. The school's population is shrinking by 15 students per year so, that becomes your slope. Hope I helped. ;)

Answer:

It is exponential

Because if 192/36 = 5.3333 and 32/6 = 5.3333 then the solution is right

Answer:

It is a solution because when you divide 192 by 36 you get 5 and one third. When you divide 32 by 6 you also get 5 and one third. This means they are equal.

Step-by-step explanation:

Answer:

15/8= 3+15/8+(x-3)

Step-by-step explanation:

Answer:

59.04g of fat

Step-by-step explanation:

I) Figure out how much grams of fat is in 1g of margarine:

3.6 ÷ 5 = 0.72

II) Next, we can figure out how much fat is in 82 g of margarine:

0.72 × 82 = 59.04

One shot formula:

(3.6g ÷ 5g) × 82g = 59.04g

Step-by-step explanation:

mn=1/-2

i hope it helps you

Answer:

28

Step-by-step explanation:

Side FG = Side DG.  Therefore, 5x - 17 = 3x + 1, or 2x = 18, or x = 9.

If x = 0 then the length of side FG is 5(9) = 17, or 28.

Answer:

x=9

y=16

z=12

Step-by-step explanation:

Answer:1/48

Step-by-step explanation: multiply the fraction by 1/2

Answer:

140 degrees

Step-by-step explanation:

Im only a freshman, but i think i got it, i just assumed that the other small part at the bottom was also 20 degrees, which would mean that you are missing the 140 degrees from the 180 degree line

Answer:

120 degrees

Step-by-step explanation:

The bottom part is 40 degrees,

the two lines are parallel, so theoretically, you can just put them together. Then using vertical angles, you can tell it's 40 degrees.

40 + 20 = 60

180-60 degrees is 120 degrees.

Answer:

98.5 cm2

Step-by-step explanation:

Answer:

35d-10

Step-by-step explanation:

distribute the -5

Answer:

-7d+2B4

Step-by-step explanation:

If its wrong im sorry I tried.

Answer:

0.38888888888889

7 divided by 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information:

Let assume that the invested amount in the investment paying 8% interest is a

Now, since the total amount invested = $3000.

Then, the amount invested in the investment that will be paying 10% interest can be represented as:

= $(3000-a)

Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a

Income earned from $(3000-a)  in the 10% investment is:

= $(3000-a)× 10/100

= $(300 - 0.1a)

Since total income of the two investment = $290;

Then;

0.08a + (300 - 0.1a) = 290

0.08a + 300 - 0.1a = 20-

300 - 0.02a = 290

-0.02a = -10

a = -10/-0.02

x = 500

Thus;

the amount invested in an investment paying 8% interest = $500

the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500

Answer:

9

Step-by-step explanation:

Download

GET

Algebra

Factor

Factor the polynomial.

(

x

+

3

)

(

x

+

5

)

Tap to view FREE steps...

()|[]√≥

789≤

456/^×>∩∪

123-+÷<π∞

,0.%=

Factor

x

2

+

8

x

+

15

+

0

Regroup terms.

x

2

+

0

+

8

x

+

15

Add

x

2

and

0

.

x

2

+

8

x

+

15

Factor

x

2

+

8

x

+

15

using the AC method.

Tap for fewer steps...

Consider the form

x

2

+

b

x

+

c

. Find a pair of integers whose product is

c

and whose sum is

b

. In this case, whose product is

15

and whose sum is

8

.

3

,

5

Write the factored form using these integers.

(

x

+

3

)

(

x

+

5

)

Answer:

(x+3)(x+5)

Step-by-step explanation:

Answer:

Exponential Growth

Step-by-step explanation:

The function is increasing and not decreasing. Because the base is greater than 1, the equation represents exponential growth. If the base were to be less than 1, then it would represent exponential decay.

Answer:

:/

Step-by-step explanation:

Answer:

U equal them

Step-by-step explanation:

An divide

The interest rate for his account was r ≈ 1.375% .