Suppose
f
(
x
)
=
2
x
2
+
4
x
−
10
. Compute the following:

Given points

Distance:-

[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(2+4)^2+(5-3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(6)^2+(2)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36+4}[/tex]

[tex]\\ \sf\longmapsto \sqrt{40}[/tex]

[tex]\\ \sf\longmapsto 6.2[/tex]

Answer:

RM3,500

Step-by-step explanation:

Salary=RM375 per week

5% commission per week

If she target a minimum of RM 550.

Let x=minimum Sales

RM550=RM375 + 5% of x

RM550=RM375 + 0.05x

RM550 - RM375=0.05x

RM175=0.05x

Divide both sides by 0.05

RM175/0.05=0.05x/0.05

RM3,500=x

For Azila to earn a minimum of RM550 in a week, her salary will be RM375 plus 5% commission on the sales of RM3,500 value of product.

Check:

5% of RM3,500

=0.05*3,500

=RM175

Plus

Salary of RM375

RM175 + RM375=RM550

Answer:

-49152

Step-by-step explanation:

The pattern is:

multiply for 4

then:

-3, -12, -48, -192, -768, -3072, -12288, -49152

Answer:

By translating the function cos(x) 90 degrees to the right.

Step-by-step explanation:

The sine function is just the cosine function translated 90 degrees to the right. You can see the visualization below. They overlap.

If you're wondering why the diagram shows a shift in

[tex]\pi / 2[/tex]

That's just the equivalent to 90 degrees in radians.

Answer:

Step-by-step explanation:

70% of students are female

70/100* 75%= you get your answer

then subtract the percentage of the males and the females and then you get your answer

Answer:A terminating decimal between -3.14 and -3.15.

Step-by-step explanation:

A natural number includes non-negative numbers like 5, 203, and 18476.

It is encapsulated by integers, which include negative numbers like -29, -4, and -198.

Integers are further encapsulated by rational numbers, which includes terminating decimals like 3.14, 1.495, and 9.47283.

By showing a terminating decimal between -3.14 and -3.15, you are showing that rational numbers include integers (because integers include negative numbers.

I can only give you the answer

Answer:

Hello,

Answer A

Step-by-step explanation:

See jointed file:  Methode du compagnon

The goods that money can buy include soap, bag, shoe, radio, television etc. The services that can be gotten include barbing, teaching, tailoring, catering, auditing etc.

Money is important in our everyday lives. We use money to make purchases of goods and it serves as a medium of exchange.

We can use money to buy goods like shoes, jewelry, radio, phone, bag, etc. When we need services such as barbing of our hair, teaching, tailoring, catering, auditing etc, we can make the purchase through money and the services will be given to us.

Read related link on:

https://brainly.com/question/11681948

Answer:

New cost of the shirt=$39.028416

Step-by-step explanation:

Target is having a Back to School sale where all polo shirts are discounted by 20%. Joshua wants to buy five shirts: two cost $10.98 each, one costs $11.50, and two others cost $15.99 each. Joshua remembered he had a coupon in his pocket that would take an additional 30% of the shirts. Which choice represents the new total cost of the shirts including the sales tax of 6.5%

Solution

Two shirts cost=$10.98 each

One shirt cost=$11.50

Two shirts cost=$15.99 each

Total cost of shirts=(2*$10.98 + $11.50 + 2*$15.99)

=$21.96 + $11.50 + $31.98

=$65.44

All polo shirts are discounted by 20%

It means he would pay 100%-20% of the total cost

100%-20%=80%

Discounted price=$65.44 * 80%

=$65.44 * 0.8

=$52.352

He has a coupon of 30% off the shirt

100% -30%=70%

=$52.352*70%

=$52.352 * 0.7

=$36.6464

Plus Sales tax of 6.5%

6.5% of $36.6464

=0.065* $36.6464

=$2.382016

New cost of the shirt=$36.6464 + $2.382016

=$39.028416

Answer:

The answer is

Step-by-step explanation:

Circumference of a circle( C) = πd

where d is the diameter

π = 3.142

From the question

d = 1.8cm

Substitute d = 1.8 into the above formula

Circumference of the circle is

3.142 × 1.8

= 5.6556

We have the final answer as

Hope this helps you

Answer:

B. 4/5

Step-by-step explanation:

Sin = Opposite/Hypotenuse

Sin∠A = 8/10 = 4/5

Answer:

weak positive

Step-by-step explanation:

weak because the line of best fit (the line passes through all points and used to express the relationship between them) doesn't pass through all ponts here.

positive because the values of data points are rising throughout the graph.

Answer:

The correct option is;

3 + (-9) = -6, because -6 is 9 units to the left of 3

Step-by-step explanation:

The given information are;

Kelvin's score after the first round is shown at point K on the number line

The range of numbers on the number line = -10 to +10

The position of point K after the first round = +3

The number of points Kevin lost in the second round = 9 points

Therefore, Kevin's cumulative score = +3 - 9 = -6

Therefore, the expression that shows how many total points he has at the end is of round 2 = 3 + (-9) = -6, because -6 is 9 units to the left of 3.

Answer: 35

Step-by-step explanation:

If you take the three angles shown, it's total is 180

So take the two angles you know, and subtract them from 180

Now we have 100 left, and we can subtract 30 to be left with 2x.

Now divide what is left by two, which is 70

70/2=35

Answer:

x = 35

Step-by-step explanation:

So we know that a straight line is equal to 180 degrees. So from there we can add the two 40 degrees to get 80 degrees. Now we can solve for x.  So 180 - 80 = 100

2x + 30 = 100

Subtract 30 from both sides

2x = 70

Divide both sides by 2

x = 35

Step-by-step explanation:

The question has asked you to have another concepts or facts that can be used to find the other angles and measure of side length.

by looking the fig we can determine various sides and angles as all are joined together.

Answer:

the answer is (d) 57°

Step-by-step explanation:

since it's a straight angle it equals to 180°

you divide 180° from 123°

Correct Presentation of Question

Which numbers are domain? (-3,-2) (3,0)(-1,2)(1,2)

Answer:

Domain = {-3,-3,-1,1}

Step-by-step explanation:

Given

(-3,-2) (3,0)(-1,2)(1,2)

Required

Determine which numbers are domain

A function is always represented as thus (x,y) in this format (domain, range);

Tabulate the given data

x   ||   y

-3  ||  -2

3  ||  0

-1  ||  2

1  ||  2

The values under the x column are the domain;

Hence, the domain are {-3,-3,-1,1}

Answer:

Step-by-step explanation:

X = 4 , Y = 8

this is because

(5 x 4) - ( 3 x 8) = -4

20 - 24 = -4

___________________________________________________________

so the answer is 4,8

Answer:

( − 2 , 2 )

Step-by-step explanation:

Add 2 x to both sides of the equation.

y = 6 + 2 x 5 x + 3 y = − 4

Replace all occurrences of y with 6 + 2 x in each equation.

Replace all occurrences of y in 5 x + 3 y = − 4 with 6 + 2 x . 5 x + 3 ( 6 + 2 x ) = − 4 y = 6 + 2 x

Simplify the left side.

11 x + 18 = − 4 y = 6 + 2 x

Solve for x in the first equation.

x = − 2 y = 6 + 2 x

Replace all occurrences of x with − 2 in each equation.

y = 2 x = − 2

The solution to the system is the complete set of ordered pairs that are valid solutions. ( − 2 , 2 ) The result can be shown in multiple forms.

Point Form: ( − 2 , 2 )

Equation Form: x = − 2 , y = 2

Answer:

40 hens, 5 sheep

Step-by-step explanation:

40 x 2 = 80 (hens have 2 legs)

100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs

20/4 = 5 so there are 5 sheep

Answer:

40 hens, 5 sheep

Step-by-step explanation:

40 x 2 = 80 (hens have 2 legs)

100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs

20/4 = 5 so there are 5 sheep

Answer:

140.625

Step-by-step explanation:

1125 books, placed into 8 per boxes, 1125/8=140.625

Answer:

x² + 4x + 4 = 0

Step-by-step explanation:

x² + 4x + 4 = 0

( x + 2 )² = 0

x + 2 = 0

x = -2

x² + x = 0

x ( x + 1 ) = 0

x = 0 or x = -1

x² - 1 = 0

x² = 1

x = 1 or x = -1

Answer:

  22. The surface area is 1/9 of its original value

  24. The surface area is 120 m^2 less than its original value.

Step-by-step explanation:

22. For similar figures, the surface area is proportional to the square of the linear dimension scale factor. Multiplying all linear dimensions by 1/3 will result in reducing the surface area to (1/3)^2 = 1/9 of its original value.

__

24. As above, the scaled base surface area will be (1/4)^2 = 1/16 of its original value. Since one dimension of the lateral area is multiplied by 4 and the other dimension is multiplied by 1/4, the net effect on that area is multiplication by (1/4)(4) = 1. That is, the lateral area will remain unchanged.

The overall surface area will be reduced by 15/16 of the area of the bases. The area of the bases is (2)(1/2)(8 m)(16 m) = 128 m^2. The changed figure will have a surface area that is 120 m^2 smaller.

Step-by-step explanation:

If we substitue "what number" in the question "96 is 30 percent of what number?" with 320, we get this sentence: 96 is 30 percent of 320. Since this statement is true, we know that our answer is correct.

Answer:

B

Step-by-step explanation:

We are given the two functions:

[tex]f(x) = 8 - 4x - x^3\text{ and } g(x) = x^2 + 7x - 9[/tex]

And we want to find:

[tex]f(x) + g(x)[/tex]

Substitute:

[tex]= (8 - 4x - x^3) + (x^2 + 7x - 9)[/tex]

Rewrite:

[tex]= (-x^3) + (x^2) + (7x - 4x) + (8 - 9)[/tex]

Combine like terms:

[tex]= -x^3 + x^2 +3x -1[/tex]

In conclusion:

[tex]f(x) + g(x) = -x^3 + x^2 +3x -1[/tex]

Hence, our answer is B.

Answer:

5 -3 = 2

3-5 = -2

Step-by-step explanation:

In this question, we want to examine the validity of the statement by the use of an example.

Firstly, we need to understand the meaning of the fact that they are ‘closed’

By saying these numbers are closed under this arithmetic operation i.e subtraction, we directly mean that they obey the closure property.

Now, to obey the closure property means that if we move either way i.e by switching the numbers and performing the same arithmetic operation of subtraction, we are supposed to get same answer.

What this means in terms of examples is as follows;

Consider two positive numbers, 5 and 3

Now we know that 5-3 = 2

To check if the closure property is obeyed, switch the place of the numbers.

This means we would have;

3-5 = -2

We can see that both results are not the same. We can then conclude that the arithmetic operation of subtraction is not closed or does not obey the closure property for positive numbers.

Answer:

b. never

Explanation:

A fraction is always in the form p/q, where q is not 0; or can be converted in that form (in case of mixed fraction).

A number is said to be irrational, if it cannot be expressed in the form p/q, where q is not 0.

Answer:

An octagon has eight interior angles.

Interior angle total sum = (n-2) x 180, where n = number of sides.

Since an octagon has 8 sides, we have:

6 x 180 / 8, which is 135.

The answer is 135.

Let me know if this helps!