Solve by using the substitution method 3x + y = 13 5x - 2y= 18

Step-by-step explanation:

Line AP = Line AO - Line PO = sqrt2 - 1.

Answer: 21

Step-by-step explanation:

We know 9x - 56 is equal to 6x + 7

So:

9x - 56 = 6x + 7

Add 56 to each side

9x = 6x + 63

Subtract 6x from each side

3x = 63

Now divide each side by 3

x = 21

Answer:

Step-by-step explanation:

The answer is 12 units

Answer:

Step-by-step explanation:

The equation

[tex]G(h)=-3h^2+24h+47[/tex]

represents the grade you are going to earn which is represented by G(h) where h in the equation is the hours you study the week before.

Part A) Is totally up to you because in the question it asks What's the best possible grade you can earn with your current study habits lets say if you study around 4 hours the week before the test. Which means the value of h should be 4 because h represents hours in the equation.

so ,

[tex]G(h)=-3h^2+24h+47\\G(4)=-3(4)^2+24(4)+47\\G(4)=-48+96+47\\G(4)=95\\[/tex]

So if you studied for 4 hours the week before the test you are going to score 95 marks which would be an A* grade.

Part B) In this part it asks you the maximum amount of study time you will need to have to earn that grade which means how many maximum hours you would need to earn a total of 95 marks which is 4.

Part C) The y-intercept is the constant in the equation in this case +47 is y-intercept and in the context of the problem it denotes that if you studied for 0 hours you would still earn 47 marks on the test, which would result you failing the test.

Part D) How many hours would you need to complete and still earn a zero would be:

[tex]G(h)=-3h^2+24h+47\\-3h^2+24h+47=0[/tex]

because it says still earn a zero which means the grade is zero so now we solve the equation.

[tex]-3h^2+24h+47=0\\3h^2-24h-47=0\\[/tex]

using the quadratic formula we get two values for h which are

h = 9.627 and h = -1.627 so eventually hours can never be in negative its impossible you can't study for -1.627 so our answer is 9.627 hours and you would still earn a zero after studying approximately 9.6 hours.

Part E) The grade that you will earn if you studied for 5 hours is:

[tex]G(h)=-3h^2+24h+47\\G(5)=-3(5)^2+24(5)+47\\G(5)= -75+120+47\\G(5)=92\\[/tex]

You would earn 92 marks which would result in an A* grade

Answer:

(A) 95

(B) h=4

(C) 47, represents 0 hours of study

(D) h=9.63

(E) 92

Step-by-step explanation:

(A) They are asking for the maximum of the graph of the equation which can be found using the vertex formula:

[tex]max= c-\frac{b^2}{4a}[/tex]

where 'a' is the coefficient of the first term, 'b' is the coefficient of the second term and 'c' is the third term.

So we have:

[tex]max=47-\frac{(24)^2}{4(-3)} = 95[/tex]

(B) To find the hours of study required to get 95 we need to set the equation equal to 95:

[tex]-3h^2+24h+47=95[/tex]

which can be rewritten as:

[tex]-3h^2+24h+47-95=0[/tex]

or

[tex]-3h^2+24h-48=0[/tex]

When we solve for 'h' we get h = 4

Therefore, studying 4 hours gives us a grade of 95, which is the maximum score from the equation.

(C) The function G(h) is our y and h is our x values. To find the y intercept, x (which is h in the equation) must be set to 0 and solved for y. This is because the y intercept is at the point where x =0.

So we have:

[tex]G(h)=-3(0)+24(0)+47\\ =0+0+47\\ =47[/tex]

This is when h=0 and therefore is represents the grade when 0 hours of studying is done.

(D) To find how many hours of study can still produce a grade of 0, we need to set the function equal to 0 and solve for h.

[tex]-3h^2+24h+47=0\\[/tex]

This gives us two results when solved quadratically:

[tex]h=-1.63[/tex] and [tex]h=9.63[/tex]

Obviously, time cannot be negative so the answer is 9.63 hours.

(E) If we study for 5 hours, h should be equal to 5.

So substituting 5 for h we get:

[tex]-3(5)^2+24(5)+47=92[/tex]

So 5 hours of study affords us a grade of 92.

Hope that explains it.

Answer:

option A is the Answer

Step-by-step explanation:

hope it helps

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

0.82 L

Step-by-step explanation:

Answer: 0.82 liters

Step-by-step explanation:

Answer:

18 kg

Step-by-step explanation:

We can use a proportion.

First, 13 kg 500 g = 13 kg + 500 g = 13 kg + 0.5 kg = 13.5 kg

Proportion:

9 cows is to 13.5 kg as 12 cows is to x

9/13.5 = 12/x

Cross multiply.

9x = 13.5 * 12

Divide both sides by 3.

3x = 4.5 * 12

Divide both sides by 3.

x = 1.5 * 12

x = 18

Answer: 18 kg

Answer:

25 units (cant see what it says on the side :/ ) per hour

Step-by-step explanation:

hope this helps <3

Answer:

x= -5

Step-by-step explanation:

f(x) = -5x +10

plug in 35 for f(x)

35= -5x +10

ten move 10 to the other side

25= -5x

then divide by -5

-5 = x

Answer:

this number 6

Step-by-step explanation:

yes self 4

Answer:

yes

Step-by-step explanation:

because if you add correctly you will get the answer

Answer:

ASA

Step-by-step explanation:

As two lines are parallel, alternate interior angles will be congruent and the side between them is common.

So, ASA congruent

Answer:

I think its a

Step-by-step explanation:

Answer: B

Step-by-step explanation: EDGE 2021

Hi there!

[tex]\large\boxed{ 9.4m}[/tex]

Find the perimeter using the formula:

P = 2l + 2w

It is given that the dimensions are 2.8 × 1.9 so plug these number into the equation:

P = 2(2.8) + 2(1.9)

P = 5.6 + 3.8

P = 9.4m

Answer:

2x3+x2−x+1x

Step-by-step explanation:

Let's solve for f.

fx=2x3+x2−x+1

Step 1: Divide both sides by x.

fx=2x3+x2−x+1x

fx=2x3+x2−x1x

Answer:

9514 1404 393

Answer:

  -1.2338

Step-by-step explanation:

The graph shows the one real root is about -1.234. The Newton's method iterator is ...

  new x = x - f(x)/f'(x) . . . . . where f'(x) is the derivative of f(x)

Many graphing calculators provide a derivative function, so the iteration equation can be evaluated more or less directly by the calculator. In the attached, we have shown a table with three iterations of the root. After the second iteration, the root is good to 4 decimal places.

  x ≈ -1.2338

Step-by-step explanation:

f(x) = x

g(x) =3x

point if intersection

f(x) =g(x)

x = 3x

Answer: The perimeter of the rectangle is 28 centimeters.

Step-by-step explanation: I hope this helps-

Answer:

x=10

Step-by-step explanation:

x+4+x=24

2x=20

x=10

Answer:

(1, -1, 3)

Step-by-step explanation:

Given system of linear equations is,

2x + 3y - 2z = -7 ---------- (1)

x - 2y + 4z = 15 ------- (2)

2y + z = 1 ------------ (3)

Equation (2) multiplied by 2 then subtracted from equation (1),

(2x + 3y - 2z) - 2(x - 2y + 4z) = -7 - 30

(2x - 2x) + (3y + 4y) + (-2z - 8z) = -37

7y - 10z = -37 ------ (4)

Equation (3) multiplied by 10 then added to equation (4),

(20y + 10z) + (7y - 10z) = 10 - 37

27y = -27

y = -1

From equation (3),

2(-1) + z = 1

-2 + z = 1

z = 3

From equation (2),

x - 2(-1) + 4(3) = 15

x + 2 + 12 = 15

x + 14 = 15

x = 1

Answer:

2

Step-by-step explanation: I'm not very smart, nor do I understand this, so it's probably wrong but I'm just trying to help

Answer:

1.4

Step-by-step explanation:

when we add -1.4 and 1.4 we get zero so its the opposite

Answer:

SEXXXXXXXZZZZZz

Step-by-step explanation:

AJ is writing a report about Calvin Coolidge. He's including information about the former president's early days. Should he quote directly from a biography of Coolidge or paraphrase the information? Why?️

Answer:

Josh bought 4.5 pounds of cucumbers.

Step-by-step explanation:

2.79 divided by the cost per pound, .62, is 4.5. Therefore he bought 4.5 pounds of cucumbers

Answer:

4

Step-by-step explanation:

2 goes to both A and B which makes it not a function because if I remember right the domain isnt allowed to repeat.

Answer:

it cant be simplified

Step-by-step explanation:

Answer:

1 5/26 i used a calculator

Answer:

 Standard error (S.E) =  0.048  ≅ 0.05

Step-by-step explanation:

Explanation:-

Given  sample size 'n'=76

Given the dean who randomly selects 76 students and finds that 58 out of 76 are receiving financial aid.

Sample proportion

                         [tex]p = \frac{x}{n} = \frac{58}{76} = 0.7631[/tex]

The standard error is determined by

                     [tex]S.E = \sqrt{\frac{p(1-p)}{n} }[/tex]

                     [tex]S.E = \sqrt{\frac{0.763(0.2369}{76} }[/tex]

  Standard error is 0.048  ≅ 0.05

Answer:

5/9

Step-by-step explanation:

the common denominator is 9.

multiply 1/3 by 3

8/9 minus 3/9

5/9

Answer:

all of them are acute

.......

Answer:

yes. it will be an acute.

Answer:

25 and 8) = 200

(32,24 and 18) =288

(22 and 4)=44

(14 and 12) = 84

(9,8 and 7)= 504

(27,12 and 36) =108

Answer:

  top down: 200, 288, 44, 84, 504, 108

Step-by-step explanation:

The least common multiple (LCM) can be figured a couple of ways.

a) factor the numbers, then form the product of unique factors (to their highest powers)

b) divide the product of the numbers by their greatest common factor (GCF). Factoring or Euclid's method can be used to find the GCF.

When there are more than two numbers, the LCM can be figured for two of them, then for that result and the next number, and so on.

__

25 and 8 have no common factors, so their LCM is their product: 200

__

32 and 24 have 8 as their GCF, so their LCM is 32·24/8 = 96. 96 and 18 have 6 as their GCF, so their LCM is 96·18/6 = 288

__

22 and 4 have 2 as their GCF, so their LCM is 22·4/2 = 44

__

14 and 12 have 2 as their GCF, so their LCM is 14·12/2 = 84

__

9, 8, 7 have no common factors, so their LCM is their product: 9·8·7 = 504

__

27 and 12 have 3 as their GCF, so their LCM is 27·12/3 = 108. 108 is a multiple of 36, so their LCM is 108.