(practice quiz)
Subject: Mathematics ​

Answer:

5

Step-by-step explanation:

16÷3=5r1. Hope this helps

Answer:

Step-by-step explanation:

Given 1/2,5, and -2 as roots of the polynomial, the function in terms of x is expressed as;

P(x) = (x - 1/2)(x - 5)(x+2)

Expand;

(x - 1/2)(x - 5) = x²-5x -x/2 + 5/2

(x - 1/2)(x - 5) = x²-11x/2 + 5/2

P(x) = (x²-11x/2 + 5/2)(x+2) = x³+2x²-11x²/2-22x+5x/2 + 10

P(x) = x³-7x²/2-39x/2 + 10

Hence the required polynomial is x³-7x²/2-39x/2 + 10

Answer:

x=-61

Step-by-step explanation:

Answer:

-61

Step-by-step explanation:

6(x+11)=-300

6x+66=-300

6x=-366

x=-61

hope this is right

By using Pythagoras theorem we can calculate length of YA and which will come out as,  5√3 units, So Option A is correct.

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H²  =  A² + B²

Given information,

The length of the side YZ is twice of the side AZ,

Given length of side YZ is, 10 unit

Therefore,  length of side AZ is, 5 unit

YA is altitude of ΔXYZ,

and ΔAYZ is a right angle triangle so we use Pythagoras theorem

YZ = H = 10

ZA = A  = 5

YA = B  = ?

100²  =  5² + B²

B = 5√3

Hence, the length of side YA is 5√3  unit

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Answer:

Step-by-step explanation:

So out of 23 students:

And therefore

students have no brothers or sisters

The required probability is:

Answer:

I'm confused

Step-by-step explanation:

what is it

How do we help? theres no question??

Answer:

3/4

Step-by-step explanation:

Answer:

16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing length.

Step 2: Identify Variables

Leg a = 12

Leg b = x

Hypotenuse c = 20

Step 3: Solve for x

Answer:

hi

Step-by-step explanation:hi

hi

Answer:

x = 11

Step-by-step explanation:

(x - 3)2 = 16

simplify

2x - 6 = 16

add 6 to both sides

2x -6 + 6 = 16 + 6

2x = 22

divide by 2

2x/2 = 22/2

x = 11

Answer:

x=11

Step-by-step explanation:

11-3=8

8x2=16

Hope this helps you! Happy holidays!

Answer:

x =4

Step-by-step explanation:

10x – 3 = 8x + 5

Subtract 8x from each side

10x-8x – 3 = 8x-8x + 5

2x-3 =5

Add 3 to each side

2x-3+3 =5+3

2x= 8

Divide by 2

2x/2 =8/2

x =4

Answer:

no it does not. that doesn't make sense haha

Answer:

^_^

Step-by-step explanation:

The shortest distance between n and p in units = (1 − a )2+ ( b+ 2)2.

The correct option is B.

The length of line segment connecting any two points is known as their distance from one another. The length of a line segment connecting the two given coordinates can be used to calculate the distance between the points in coordinate geometry.

The study of geometry utilizing coordinate points is referred to as coordinate geometry (or analytic geometry). The distance between two points can be calculated using coordinate geometry, as can the areas of triangles in the Cartesian plane, the midpoints of lines, and more.

The expression that represents this same shortest distance between P and N in units is found to use the distance between two points to be:

[tex]d=\sqrt{(1-a)^2+(b+2)^2}[/tex]

The distance between two points, (x1,y1) and (x2,y2), is represented by:

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

the distance between the points N(a, -2) and P(1,b) is:

[tex]\begin{aligned}&d=\sqrt{(1-a)^2+(b-(-2))^2} \\&d=\sqrt{(1-a)^2+(b+2)^2}\end{aligned}[/tex]

The shortest distance between n and p in units = (1 − a )2+ ( b+ 2)2.

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I understand that the question you are looking for is:

a civil engineer is drawing a plan for the location and length of a new underground sewer pipe on a coordinate grid. the pipe on the plan will run from point n ( a , −2) to point p (1, b ) on the coordinate grid. which expression represents the shortest distance between n and p in units?

A. ( a +2)2+ (1 − b )2

B.  (1 − a )2+ ( b+ 2)2

Answer:

I think its 7% but I could be wrong

Answer:

[tex]x\leq 5[/tex]

Step-by-step explanation:

45+18x=145

18x=100

x<=5

So x is equal to or less than 5

Hope this helps plz hit the crown :D

Answer:46.25

Step-by-step explanation:

(82-25)divide(24/6)+32

    v                    v

         57/4+32

            v

         14.25 +32

                  v

            46.25

Answer:

its b

Step-by-step explanation:

i did that test

The required solution after three successive iterations is near x = 7/8. Option c is correct.

The equation is the values of two expressions that are equal. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here, we have,

Equation is -2x + 6 = -(2/3)^x + 5. Approximate the solution to the equation above using three iterations of successive approximation.

given that,

-2x + 6 = -(2/3)^x + 5

Arranging the equation

(2/3)^x - 2x + 1 = 0

Since the solution of the equation is when f(x) = 0 at near to  x = 0.8

f(x) = (2/3)^x - 2x + 1

First iteration at x =0.8

f(0.8) = 0.123

It will go up more to get exact zero, so

Second iteration at x = 0.9

f(0.9) = -0.106

It seems that zero is near 0.9 so will go down

The third iteration at x = 0.87

f(0.87) = -0.037

Here , solution is much near to x = 0.87 or x =7/8.

Thus, the required solution after three successive iterations is near x = 7/8.

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Answer:

NO it is not true

Answer:

a

Step-by-step explanation:

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answer:

the answer is B.

Step-by-step explanation:

the answer is b because both sides increase

300 + (200)r is the proper expression for sales if the number of units expected to be sold is uniformly distributed between 300 and 500. If r is a random number between 0 and 1.

What is a random number?

a random number is a number chosen by chance -- i.e., randomly, from a set of numbers. All the numbers in a specified distribution have equal probability of being chosen randomly.

Given that r is a random number between 0 and 1.  it is uniformly distributed between 300 and 500 will be done by using the formula of 300+200r.

If r = 0, 300+200r will result in the output as 300

If r = 0.5, 300+200r will result in the output as 400

If r= 1, 300+200r will result in the output as 500

Hence ,the proper expression for sales is 300+200r

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Answer:

3.2miles per hour

Step-by-step explanation:

19.2 / 6 = 3.2

Answer:

40%

[tex] \frac{2}{5} times \: both \: by \: 2 \frac{4}{10} = .4 = 40\%[/tex]

[tex]f(x)=-3x[/tex]

Substitute x = 5 in the equation.

[tex]f(5)=-3(5)\\f(5)=-15[/tex]

Therefore, the answer is -15 or last choice when x = 5.

Answer:

50 + 10m = 25m

Step-by-step explanation:

Given that:

Samuel:

Stating shares = 50 shares plus 10 shares per month

Savanah :

Starting shares = 0 plus 25 shares per month

Let number of months = m

Samuel shares = savanna shares

50 + 10m = 25m

50 = 25m - 10m

50 = 15m

50 / 15 = m

Answer: the square root of -1 is i.

Step-by-step explanation:

Answer:j

Step-by-step explanation:

Answer:

a=10

Step-by-step explanation: