A contractor is purchasing some stone tiles for a new patio, each tile costs $3 and he wants to spend less than $1000 the size of each tile is 1 square foot, write and inequality that represents the number of tiles he can purchase with a $1000 limit, and the figure out how large the stone patio can be

The constant of proportionality is 0.1

Find the constant of proportionality (r)in the equation y=rx.

r =

x    y

14  1.4

16  1.6

21  2.1

The equation is given as:

y = rx

When x = 14 and y = 1.4, we have:

1.4 = r * 14

Divide both sides by 14

r = 0.1

Hence, the constant of proportionality is 0.1

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The attached graph represents the graph of f(x) = (x - 1)^2 - 2

The equation is given as:

f(x) = (x - 1)^2 - 2

Next, we set x to -2, -1, 0, 1 and 2.

So, we have:

f(-2) = (-2 - 1)^2 - 2 = 7

f(-1) = (-1 - 1)^2 - 2 = 2

f(0) = (0 - 1)^2 - 2 = -1

f(1) = (1 - 1)^2 - 2 = -2

f(2) = (2 - 1)^2 - 2 = -1

This means that the table of values is

x      f(x)

-2    7

-1    2

0    -1

1     -2

2    -1

Next, we plot the above points and connect them.

See attachment for the graph of f(x) = (x - 1)^2 - 2

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Answer:

Step-by-step explanation:

Note that the new function, g(x), provides a value for y that is -2 times the value returned by f(x).  That means that for the same value of x, the resulting value of g(x) will be -2 times that provided by f(x).

See the attached image.  The table shows how the values of y change for each value of x used in the respective function.  Plot those new values to produce the graph.

[tex] |y + 2| > 6 \\ y + 2 > 6 \: \: \: or \: \: \: y + 2 < - 6 \\ y > 6 - 2 \: \: \: or \: \: \: y < - 6 - 2 \\ y > 4 \: \: \: or \: \: \: y < - 8[/tex]

Solution : ] -♾️ , -8 [ U ] 4, + ♾️ [

PLEASE GIVE BRAINLIEST

-11, -6, -7 and -6.1 are the answers

The inequality is r lesser than or equal to -6

Answer: B

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)=(2x+1)-(x^{2}-7)=2x+1-x^{2}+7=\boxed{-x^{2}+2x+8}[/tex]

The polynomial within the numerator is 9x²+45x+54.

Given the denominator of the initial expression is [tex]\frac{?}{3x^2+15x+18}[/tex] and also the rational expression simplifies to three.

A mathematical expression which will be rewritten to a rational fraction, an algebraic fraction specified both the numerator and therefore the denominator are polynomials. and a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Let's take the polynomial within the numerator is k.

So, rewrite the given expression as

[tex]\frac{k}{3x^2+15x+18}=3[/tex]

or it also can be written as

[tex]\frac{k}{3x^2+15x+18}=\frac{3}{1}[/tex]

Cross multiply either side as a×d=b×c where a=k, b=3x²+15x+18, c=3 and d=1 and acquire

k=3(3x²+15x+18)

Simplify the above expression,

k=9x²+45x+54

Hence, the polynomial within the numerator within the given expression [tex]\frac{?}{3x^2+15x+18}[/tex] which is simplified to 3 is 9x²+45x+54.

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Answer:a

Step-by-step explanation:

The value of cosine theta (cosθ) for the given triangle is determined as 4.58/5.

For a given sine value of a triangle, the remaining side length of the triangle can be calculated as follows;

sinθ = opp/hypo = 2/5

b² = 5² - 2²

b² = 21

b = 4.58

Value of cosine θ

Cosθ = adj/hypo

Cosθ = 4.58/5

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Answer:

[tex]\sf b.) \ 1 +2\sqrt{7}[/tex]

Explanation:

Foil method: (a + b)(c + d) = ac + ad + bc + bd

Solving steps:

[tex](4 - \sqrt{7} )(2 + \sqrt{7} )[/tex]

[tex](4)(2) + 4(\sqrt{7} ) + (-\sqrt{7} )(2) + (-\sqrt{7} )(\sqrt{7} )[/tex]

[tex]8 + 4\sqrt{7} - 2\sqrt{7} - 7[/tex]

[tex]8 -7 + 4\sqrt{7} - 2\sqrt{7}[/tex]

[tex]1 +2\sqrt{7}[/tex]

option b) 1 + 2√7

Foil property method :-

[tex] \red{ \boxed{ \orange{ \rm (a + b)(c + d) = ac + ad + bc + bd}}}[/tex]

then, on substituting the values,

[tex]\sf⇒ \:  \: 8 + 4 \sqrt{7} - 2 \sqrt{7} - 7[/tex]

[tex]\sf⇒ \:  \: \green{ \underline{\bold{ \red{1 + 2 \sqrt{7} }}}}[/tex]

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

Transformation is a way of changing the position of an object o the xy plane. Given the parent function expressed as

f(x) = x^2

If the function is shifted to the left by unit, then we will have h(x) = (x - 1)²

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

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Answer:

[tex]\fbox {tan A = 0.5333}[/tex]

Step-by-step explanation:

tan A = opposite side of ∠A / hypotenuse

tan A = 8 / 15

tan A = 0.5333

Answer:

tan A = perpendicular/ base

tan A = 8/15

tan A=0.5333

Step-by-step explanation:

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Answer:

y = 1.5x + 1

Step-by-step explanation:

→ Choose 2 points

( 2 , 4 ) ( -2 , -2 )

→ Find the gradient

-6 ÷ -4 = 1.5

→ Write into format

y = 1.5x + c

→ Substitute in ( 2 , 4 )

4 = 3 + c

→ Minus 3 from both sides

1 = c

y = 1.5x + 1

Answer:

D) 20

Step-by-step explanation:

Hope It Helps!!!

In insurance, in a 100/300 policy, it should be noted that up to $100,000 bodily injury per single person injured in the accident will be covered.

An insurance coverage simply means the amount of risk or liability for an individual.

In this case, in a 100/300 policy, up to $100,000 bodily injury per single person injured in the accident will be covered.

Also,an amount up to $300,000 in total will be for bodily injuries per accident. Finally, there's a $100,000 for damages to the property of others.

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If the three numbers of a square in the complex plane are [tex]-19+32i,-5+12i and -22+15i[/tex] , then the fourth complex number [tex]-2+19i[/tex].

Given [tex]-19+32i,-5+12i and -22+15i[/tex] are three numbers.

Complex numbers are those numbers which extends the real numbers with an imaginary i. In this [tex]i^{2}=-1[/tex]. Major complex numbers are in the form a+ bi where a and b are real numbers.

let the fourth complex numbers be [tex]x+yi[/tex]. Then according to question;

=[tex](-22+15i)-(-5+12i)[/tex]

=(cos π/2+i sin π/2) [tex](x+yi)-(-5+12i)[/tex]

[tex]-17+3i=-y+12[/tex][tex]+(x+5)i[/tex]

Now solving for x and y by equating both sides.

x=-2 and y=29

Put the value of x and y in [tex]x+yi[/tex]

Z=-2+29i

Hence if the three numbers which forms vertices of a square are [tex]-19+32i,-5+12i,-22+25i[/tex] then the fourth complex numbers be [tex]-2+29i[/tex].

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Solution :-

Here we have been given with two equations :

¤ From Equation No.1 :

>> x = -5y

¤ In Equation No.2 :

Substituting the value of x which we got above as -5y here.

>> 3y + 2(-5y) = -21

>> 3y + 2 × (-5y) = -21

>> 3y - 10y = -21

>> -7y = -21

>> 7y = 21

>> y = 21 / 7

>> y = 3

¤ Finding out value of x :

>> x = -5y

>> x = -5(3)

>> x = -15

The average rate of change in h(t) is 6.

It is a measure of how much the function changed per unit, on average, over that interval.

h(t) = 3 + 70t - 16t²

Average rate of change

At t = 1 second

h(1) = 3 + 70(1) - 16(1)^2

h(1) = 57

At t = 3 second

h(3) = 3 + 70(3) - 16(3)^2

h(3) = 69

Average rate of change = Δh / Δt

=[h(3) - h(1)] / (3 - 1)

= (69 - 57) / 2

= 12 / 2

= 6.

Hence, the rate of change is 6.

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The square root contains two same numbers and the cubic root contains three same numbers.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The square root contains two same numbers and the cubic root contains three same numbers.

For an example:-

√9 = [tex]\sqrt{3\times 3}[/tex] =  3 as we can see in the example the value of the square root of 9 is 3 it consists of two threes in the roots.

∛27 = [tex]\sqrt[3]{3\times 3\times 3}[/tex] = 3 here we have found that 27 contains 3 times 3 so the cube root of 27 will be equal to 3.

Therefore square root contains two same numbers and the cubic root contains three same numbers.

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Okay, so out of 8 kids, we know that 6/8 are girls and 2/8 are boys. Its asking us what fraction of the kids are girls. The denominator (the bottom part of the fraction will be the amount of kids at the party, 8) and the top part, the numerator, will be 6 as there are 6 girls at the party of the 8 attendees.

So the fraction is 6/8. However we can reduce this by dividing both sides of the fraction by a common factor, 2!

So your final answer is 3/4.


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Answer:

9. 15b + 4

10. 4y + 6

11. 15r+72

12. 130n + 20

Step-by-step explanation:

9. Combine Like terms

10. Combine Like terms

11. Distribute the 8 into (r + 9) then combine like terms

12. Distribute 10 into (3n + 2 + 10n) then combine like terms

Answer:

[tex]\mathsf {9) 15b + 4}\\\mathsf {10) 4y + 6}\\\mathsf {11) 15r + 72}\\\mathsf {12) 130n + 20}[/tex]

Step-by-step explanation:

[tex]\textsf {Question 9}[/tex]

[tex]\mathsf {3 + 8b + 4 + 7b - 3}[/tex]

[tex]\mathsf {8b + 7b + 4 + 3 - 3}[/tex]

[tex]\mathsf {15b + 4}[/tex]

[tex]\textsf {Question 10}[/tex]

[tex]\mathsf {8 + 7y - 3y + 2 - 4}[/tex]

[tex]\mathsf {7y - 3y + 8 + 2 - 4}[/tex]

[tex]\mathsf {4y + 6}[/tex]

[tex]\textsf {Question 11}[/tex]

[tex]\mathsf {8(r + 9) + 7r}[/tex]

[tex]\mathsf {8r + 8(9) + 7r}[/tex]

[tex]\mathsf {8r + 7r + 72}[/tex]

[tex]\mathsf {15r + 72}[/tex]

[tex]\textsf {Question 12}[/tex]

[tex]\mathsf {10(3n + 2 + 10n)}[/tex]

[tex]\mathsf {10(13n + 2)}[/tex]

[tex]\mathsf {10(13n) + 10(2)}[/tex]

[tex]\mathsf {130n + 20}[/tex]

Answer:

2 pi : 1

Step-by-step explanation:

for every one unit of radius, there are two pi units in the circumference!

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

24x + 72 y = 624

24x + 12y = 174

subtracting,

60 y = 450

y = 7.5

3x + 9(7.5) = 78

3x + 67.5 = 78

3x = 78 - 67.5

3x = 10.5

x = 3.5

Answer:

10

Step-by-step explanation:

By the geometric mean theorem,

Answer:

ttttihbogfpvvovovibjnphgbpvvvohj

The paint that the farmer needs to paint his Silo will cost $152.75.

To calculate the value of the total paint that the farmer will require, we must carry out the following procedure:

1. Identify the area you need to paint

2. Find how many cans of paint he needs.

That is, he will need 13 cans of paint.

3. Find the price of 13 cans of paint.

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Answer:

$189

Step-by-step explanation:

35% of 140 = 49

140 + 149 = 189

Tom's total saving this year is $189.

It is a 35 percent increased saving from last year's $140.

Percentages are fractional values where the denominator is fixed to be 100.

To convert percentage into number, we multiply by 100.

In the question, we are informed that Tom was able to save 35% more this year than he did last year.

We are asked if he saved $140 last year, then how much did he save this year.

The increase in Tom's savings = 35% of last year's savings,

or, the increase = 35/100 * 140 (To convert percentage into quantity, we divide by 100).

or, the increase = $49.

Therefore, Tom's total savings this year = Last year's savings + Increase,

or, Tom's total saving this year = $140 + $49 = $189.

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Step-by-step explanation:

f(x) = y = 64x³ - 1

y + 1 = 64x³

(y + 1)/64 = x³

[tex]x = \sqrt[3]{(y + 1) \div 64} [/tex]

[tex]x = \sqrt[3]{y + 1} \div 4[/tex]

that is the actual inverse function to calculate the original x value for a given y value of the original function.

but to make it a "normal" function, we need to rename the variables (x to y, y to x) :

[tex]y = \sqrt[3]{x + 1} \div 4[/tex]

this is now f^-1(x)

but careful, don't get confused, if dealing together with the original function, this "x" is actually standing for the "y" of the original function ...