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:

×< -5

Step-by-step explanation:

-6x>30 reverse the sign

x< -5

Step-by-step explanation:

Given - The distance between point (2, 2) and point (8, 2) is 6 units on

             a coordinate plane.

To find - Which other pairs of points are also 6 units apart?

Proof -

The distance between two points (x₁, y₁), (x₂, y₂) are 6 if and only if either

( x₂ - x₁ = 6 and y₂ = y₁ )or ( x₂ = x₁ and y₂ - y₁ = 6 ).

If either of the conditions is satisfied , then only we can say that the two points has ha distance of 6 units between them.

Now, As given

Let (x₁, y₁) = ( 2, 2) , (x₂, y₂) = (8, 2)

Check whether the conditions are satisfied or not .

Here x₁ = 2 , x₂ = 8, y₁ = 2, y₂ = 2

Now,

x₂ - x₁ = 8 - 2 = 6 , y₂ - y₁ = 2 - 2 = 0

∴ we get

1st condition is satisfied, So the points have a distance of 6 units between them.

Now,

Let us suppose another point (x₁, y₁) = ( 4, 3) , (x₂, y₂) = (3, 3)

Here x₁ = 4 , x₂ = 3, y₁ = 3, y₂ = 3

Now,

x₂ - x₁ = 4 - 3 = 1 , y₂ - y₁ = 3 - 3 = 0

Here neither of the conditions are satisfied.

So the points are not at a distance of 6 units from each other.

9514 1404 393

Answer:

  4 2/3 ohms

Step-by-step explanation:

The resistance is the ratio of voltage to current.

  R = V/I

  R = (14)/(3) = 4 2/3 . . . ohms

Answer:

3

Step-by-step explanation:

d=√8-5 = √9 = 3

Answer:

7

Step-by-step explanation:

the coefficient is the number that is multiplied by x which in the case of 7x is 7

Hope that helps :)

Answer:

80 10x8 is 80

your welcomr

Answer:

The answer is:  2x+1f(x)=

Step-by-step explanation:

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.

Answer:

I thinks it is -11

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The computation of the mean number of coins for the girls is shown below:

Since there are 24 boys and 16 girls so the total children is 40

So the number of coins for all children is

= 40 × 11

= 440

And, the number of coins for all boys is

= 9 × 24

= 216

Now the mean is

= (440 - 216) ÷ 16 girls

= 14

Answer:

its c because the x is not repeating so let's say x are people and y is the are the location. multiple x values can give the the same y but an x value can only give one y if x give more than one y value, or in other words repeats itself, then is not a function

(x-2) ^3

x^3-6x^3+12x-8

Answer:

Q (2,1)

R(2,5)

S(4,5)

T(8,1)

Answer:

B.

Step-by-step explanation:

Answer:

[tex]x \geqslant 12[/tex]

Step-by-step explanation:

[tex]x - 8 \geqslant 4[/tex]

Move the constant to the right-hand side and change its sign

[tex]x \geqslant 4 + 8[/tex]

Add the numbers

[tex]x \geqslant 12[/tex]

Alternate form

x∈[12 , +  ∞》

Answer:

12

Step-by-step explanation:

4 is half of 8

12 is half of 6

Answer:

1000

Step-by-step explanation:

round up if 5 or bigger

round down if less than 5

Answer:

+40

Step-by-step explanation:

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

Work Shown:

sin(angle) = opposite/hypotenuse

sin(6) = a/5440

5440*sin(6) = a

a = 5440*sin(6)

a = 568.634840176034

a = 569 feet, which shows why choice B is the answer.

This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5

side note: 569 feet is roughly equal to 0.1078 miles.

The driver's increase in altitude is 569 feet.

Given that,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

We have to determine,

The driver's increase in altitude?

According to the question,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

The inclination is determined by using the sin angle.

Therefore,

The driver's increase in altitude is,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.

Substitute all the values in the formula,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]

Hence, The driver's increase in altitude is 569 feet.

For more details refer to the link given below.

https://brainly.com/question/11280532

Answer:

x= -1  

y= -1

Step-by-step explanation:

Answer:

m = -4

*Pick the option-> (m) is negative

Step-by-step explanation:

[tex]\frac{3}{4}m + 5 = 2[/tex]

Solve this equation with inverse operations;

[tex]\frac{3}{4}m + 5 = 2\\-5\\\\\frac{3}{4}m = -3\\*\frac{4}{3}\\\\m = -4[/tex]

Answer:

-103z - 2

Step-by-step explanation:

Answer: you will either Add or Multiply

Step-by-step explanation:

y = 3x - 4 answer x = 11/3

4x + 3y = 1 answer -3/4y + 1/4

2-3x = y answer -1/3y + 2/3

Answer:

-3>=x this is because the circle is closed as well as the arrow going the opposite from -3

Step-by-step explanation:

Answer:

540 divided by 9

Over estimated

Please mark as brainliest!

Answer:

6/3

Step-by-step explanation:

I think bhjukjkfiffo

Answer:

-5/3

Step-by-step explanation:

rise/run you go down 5 and over 3

Answer:

0.42

Explanation:

21/50= 0.42

22/33=0.667766,7

Therefore, 0.42 is the less equaled answer

Please give A 5.0 score and braniest!

Hopefully this helps!❤