Examination practice
Exam-style questions
1 The quadratic equation x2 - 5x – 3 = 0 has solutions a and b. Find the value of:
i a - b
ii a + b
Leave your answers in exact form.

Answer:

81

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

9 squared is 81

gghjhgjffjvf

Answer:

z=12

Step-by-step explanation:

5z=60

divide both sides by 5

z=60/5

z=12

Answer:

5z/5=60/5

4

12

answer to the question is 12

Step-by-step explanation:

I hope it helps.

.........

Answer:

4

Step-by-step explanation:

3 dollars each I believe

Answer:

C

Step-by-step explanation:

I think the answer is C I’m assuming

Answer:

18

Step-by-step explanation:

Rounding it off to nearest 10th place . Since the decimal value is 5 it will round off to +1 , That becomes , 17 + 1 = 18

The absolute value of 17.5 is 17.5

Answer:

sqrt (2) * sqrt(45) + sqrt (2) * sqrt (80)

45 = 9 *5 "9" is a perfect square so

sqrt (45) = 3 * sqrt (5) * sqrt (2)

sqrt (2) * sqrt (80)

80 = 16 * 5  "16" is a perfect square so

sqrt (2) * sqrt (80) = sqrt (2) * 4 * sqrt(5)

Adding both answers we get

3 * sqrt (5) * sqrt (2) = 3 * sqrt(10)

PLUS

4 * sqrt (10)

which equals

7 * sqrt (10)

SO, the value of a is 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.5(2 1/2) / 0.8(4/5)

Hope this helped!!

Let's solve this problem step-by-step:

Let's set:

  [tex]-2x + 2y = 6 -- equation 1\\7x+4y=23 -- equation 2[/tex]

(equation1) * 2

  [tex]-4x+4y=12--equation3[/tex]

(equation 2) - (equation 3)

  [tex]11x = 35\\x= \frac{11}{11}--equation4\\x=1[/tex]

Plug (equation4)'s value of 'x' into (equation1)

  [tex]-2(1} )+2y=6\\-2+2y =6 \\2y = 6+2 =8 \\y =4[/tex]

Thus x= 1 and y = 4

Let's check:

 [tex]-2(1 )+2(4)=6\\2 +4 =6\\6=6\\ \\7(1)+4(4) )=23\\7+16=23\\ 23 =23\\[/tex]

Answer: x = 1 and y= 4

Hope that helps!

answer:

the 1st hour is 14 euros and each hour after that is 2 euros

step-by-step explanation:

so usually when renting something there is an upfront fee you have to pay first. in this case, that fee is 14 euros. now, sometimes you also have to pay a relatively small amount of money for each hour you're using it, in your case that is the 2 euros.

good luck :)

hopefully, this helps

have a great day !!

Answer:

The first hour is 14 euros and each hour after that is 2 euros.

Step-by-step explanation:

I hope I get brainliest. I answered without looking at the other person's answer. I just want to help.

Answer:

A

Step-by-step explanation:

A cannot be split in half evenly :)

Answer:

a

Step-by-step explanation:

it's always looking and you can make two different shapes

Answer:

.

Step-by-step explanation:

The solutions to the given quadratic equation are (3+√5)/2 and (3-√5)/2.

Quadratic formula is the simplest way to find the roots of a quadratic equation.

The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.

The given quadratic equation is x²-3x+1=0.

By comparing x²-3x+1=0 with ax²+bx+c=0, we get a=1, b=-3 and c=1.

Now, x= [3±√((-3)² - 4×1×1)]/2×1

= [3±√(9-4)]/2

= (3±√5)/2

So, the solutions to the given equation are (3+√5)/2 and (3-√5)/2.

Therefore, the solutions to the equation are (3+√5)/2 and (3-√5)/2.

To learn more about the quadratic formula visit:

https://brainly.com/question/11540485.

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Answer:

Step-by-step explanation:

Well if you want the answers there are 3 different ways

x = 12/5

or

x = 2.4

Answer:

49 stones

Step-by-step explanation:

Write the following proportion based on the given ratio of marbles (m) to stones (s), and naming the unknown number of stones to find, with the letter "X":

6 m / 7 s = 42 m / X s

cross multiply to get the unknown in the numerator:

6 * X = 42 * 7

divide both sides by 6 to isolate X entirely on the left of the equal sign

X = ( 42 * 7 ) / 6

X = 49

Therefore, there are 49 stones

Answer:

11 miles

Step-by-step explanation:

Answer:

11 m

Step-by-step explanation:

Speed = 44 mph

Time = 15 minutes = 15/60 = 1/4 hour

Distance = Speed * time

              = 44 * [tex]\frac{1}{4}[/tex]

             = 11 m

Answer:

y=-1/5x-1

Step-by-step explanation:

Answer:

-1/4

Step-by-step explanation:

Answer:

In order to make a slope perpendicular, you have to change its sign depending on whether it is negative or positive. And you have to change it upside down (its reciprocal)

Therefore,

-1/4

Answer:

length =√area use this formula

The side length of square can be found by taking the square root of Area.

Square are closed polygons which consist of four sides and four angles.

Each angle is 90 degree.

All the sides are of equal length.

So, by the definition of square, we know that the side lengths of square are equal.

The formula to calculate the area of the square is,

Area = a², where a is the length of one side of the square.

Let Area be given, let it be equal to A.

Then,

a² = A

Taking square root on both sides,

a = √A

Hence the side length is found by taking the square root of Area.

Learn more about Area of Square here :

https://brainly.com/question/30556035

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Answer:

Probably not

Step-by-step explanation:

That's a lot of numbers

Answer:

x=7

Step-by-step explanation:

180-105= 75°

11x-2=75°

11x=77

x=7

Answer:

£210

Step-by-step explanation:

I think i just worked it out in my head

Answer:

£210

Step-by-step explanation:

Let amount that abby gets

Given that

Amount of chole + amount of Danesh of abby

Answer:

27 pages

Step-by-step explanation:

Since you read 3 pages on Monday and you read 3 times that number on Tuesday, the equation should be 3*3 to equal 9. Then, since you read 9 pages on Tuesday and 3 times that number on Wednesday, the equation should be 9*3 to equal 27 pages. So, on Wednesday, you read 27 pages in total.

Answer:

27 pages

Step-by-step explanation:

Monday=3 pages

Tuesday=3 pages × 3

=9 pages

Wednesday=9 pages × 3

=27 pages

hope it helps!!!

Answer:

y=(x+3)^2 has a vertex at (-3,0), while y=x^2 + 3 has a vertex at (0,3)

Mark me brainliest hope this helps

Step-by-step explanation:

Answer:

f(x) = 6x - 3

Step-by-step explanation:

Answer:

d. 42x - 24

Step-by-step explanation:

Given

6(7x - 4)

= 42x - 24