Evaluate 48/6-10/3 please and thank you :)))

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (t^9)^{-8}\implies t^{-8\cdot 9}\implies t^{-72}\implies \cfrac{1}{t^{72}}[/tex]

Answer:

The missing information is attached in the picture below.

The company made $292.5 dollars in profit.

Step-by-step explanation:

Using the information provided by the table, we can calculate how much money was spent

1. gravel

12 and a half cubic yards * $15  = $187.5

2. tar/sealant

$0.15 per square foot * (75*20 ft^2) = $225

3. labor

$10 per hour * 25 hours = $250

4. insurance

fixed $45

We add all the expenses together

$(187.5 + 225 + 250 + 45)  = $707.5

The profit will be equal to

$1000 - $707.5 = $292.5

Step-by-step explanation:

Answer:

It was A.

Step-by-step explanation:

the rate of change of item I is greater than the rate of change of item II.

I just had it and answer B. was wrong

The rate of change of item I is greater than the rate of change of item II. (Option A)

Suppose that the considered linear equation is of the form [tex]y = mx + c[/tex]

Then, when we change x by 1 unit, then:

[tex]y + \delta y = m(x + 1) + c\\mx + c + \delta y = mx + c + m\\\delta y = m[/tex]

where [tex]\delta y[/tex] shows the change in y as x changes by 1 unit.

We found that this change is the value of 'm'.

It is called slope of the line this equation represents (each linear equation represents a line).

Finding rate of each item:

The rate is 3 units increment in y per unit increment in x. In short, the rate is 3 unit / unit increment in x

Since graph of a straight line is given, we can find its slope which would represent its rate.

Consider x = 0, for which y = 0 is given in graph.

Now change x by 1 unit, so x becomes x = 1

At x =1 , y = 2

So we see that as x changes by 1 unit, y goes from 0 to 2 (change of 2 units).

Hence, the rate is 2 units increment in y per unit increment in x. In short, the rate is 2 unit / unit increment in x

Thus, the rate of change of item I is greater than the rate of change of item II. (Option A)

Learn more about rate of change of a function here:

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Answer:

12 + r or r + 12

Step-by-step explanation:

Either way can be written as the expression 12 is more than r or x

Answer:

f(r) = r + 12

Step-by-step explanation:

An expression is an equation that usually involves x and y. When we are dealing with a unknown number we use a variable. some common variable is x and y, in this instance we will use r. Therefore we have to have r in our expression. however, we need a output therefore we use function of r. (f(r))

p.s. F(r) usually represents y.

futhermore, if you see more than you know you will use addition.

hope this helps!

The parenthesis tell you which equation to do first.

P arenthesis

E xponents

M ultiplication

D ivision

A ddition

S ubtraction

Answer:

x + 3x + 5 = 101

Step-by-step explanation:

Consider your problem and think of an equation of each person. We know that Aylen has a certain amount of money, which will be x. Rich though has 5 more than 3 times Aylen.

Aylen: x amount of money

Rich: 5 more than 3 times the amount of money of Aylen.

5 more indicates addition, 3 times indicates multiplication

So then:

Rich: 5 + 3x     (where x is the amount of money of Aylen)

Now both of them have $101 together, in other words, if you add up their money they would have $101. So we add their equations:

x + 5 + 3x = 101

Because the operation is addition, we can switch their places and the result will not change so the answer would be:

x + 3x + 5 = 101

Answer:

8

Step-by-step explanation:

Varies directly think y=kx

Varies indirectly think y=k/x

We have first option so y=kx

x=6 and y=15 means we have 15=k(6)

So k=15/6 or reducing gives=5/2

So we just found our constant of proportionality, this number never changes.  It stays the same no matter what x or y they give you...

So the equation is y=5/2 *x

Now what is x if y=20

Plug in 20=5/2 *x

So x=20*2/5=40/5=8

Answer:

Here's what I get.

Step-by-step explanation:

The formula for rotation of a point (x,y) by an angle θ about the origin is  

x' = xcosθ  -  ysinθ

y' = ycosθ + xsinθ

If θ = 270°, sinθ = -1 and cosθ = 0, and the formula becomes

x' =    y

y' =  -x

A: (-3,4)  ⟶ (4,3)

B: (-1,2)   ⟶ (2,1)

C: (-2,0) ⟶ (0,2)  

The vertices of A'B'C' are (4,3), (2, 1), and (0, 2).

The Figure below shows the triangle before and after the rotation.

Hello!

Answer:

[tex]\boxed{X>-5}\checkmark[/tex]

The answer should have negative sign.

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

First, expand.

-4(x+3)=-4x-12

-4x-12<-2-2x

Then add by 12 both sides of an equation.

-4x-12+12<-2-2x+12

Simplify.

-4x<-2x+10

You add by 2x both sides of an equation.

-4x+2x<-2x+10+2x

Simplify.

-2x<10

Multiply by -1 both sides of an equation with reverse inequality.

(-2x)(-1)>10(-1)

Simplify.

2x>-10

Then you divide by 2 both sides of an equation.

2x/2>-10/2

Finally, simplify and solve to find this answer.

-10/2=-5

[tex]\boxed{x>-5}[/tex], which is our correct answer.

Hope this helps you!

Have a nice day! :)

Thank you!

-Charlie

Answer:

(3)(-16)(-7)(-14) = (-48)(-7)(-14) = (+336)(-14) = - 4704;

Step-by-step explanation:

The steepness of a line is slope.  This is how fast y changes with respect to x.  It is the rise over the run.

Hope this helps!!

Quantities that are proportional to 26/13 are any other fractions that can reduce to positive 2.

26/13 = 26 ÷ 13 = 2

10/5 = 10 ÷ 5 = 2

200/100 = 200 ÷ 100 = 2

Answer:

So any fraction equal to 2 will work.

Step-by-step explanation:

Don't know which but I could tell you some that are equivalent to or proportional to 26/13.

26/13 reduces to 2 so 2 is a quantity that is proportional to 26/13

So any fraction equal to 2 will work.

Answer:

the answer is the second one

Answer:

The correct answer is "Sandwiches and salads are almost equally preferred."  

Step-by-step explanation:

From the survey, we get

122 students prefers Sandwich

15 students prefers Hot Dog

123  students prefers Salad

We are going to analyse every option

A sandwich is the most preferred lunch.  FALSE

Most preferred lunch is Salad (123) ,  sandwich is 122

Sandwiches and salads are almost equally preferred.  TRUE

A hot dog is two times more popular than sandwich. FALSE

No,  hot dog is 15 ,  and sandwich is 122,  sandwich is more popular than hot dog

A salad is almost two times more popular than a hot dog. FALSE

No,  hot dog is just 15 , and salad 123 more than 8 times hot dog

Check the picture below.

clearly the angle at vertex C isn't the right angle, so let's check if AB ⟂ BC.

[tex]\bf A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad B(\stackrel{x_2}{0}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-3}{0-(-4)}\implies \cfrac{-4}{0+4}\implies \cfrac{-4}{4}\implies -1 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf B(\stackrel{x_1}{0}~,~\stackrel{y_1}{-1})\qquad C(\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-1)}{2-0}\implies \cfrac{1+1}{2}\implies \cfrac{2}{2}\implies 1 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{-1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{1}\implies 1}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{so is a right triangle}}{AB\perp BC}~\hfill[/tex]

Answer:

Option A: f(x) = 4 * 2^x

Step-by-step explanation:

4 because it is the y intercept.

2 because if you see point (1,8), yousee the 8 = 4 * a^1 where a = 2

If you need more explanation, please comment below.

Thank you!!

Answer:

A. [tex]f(x)=4\cdot (2)^x[/tex]

Step-by-step explanation:

We have been given graph of a function. We are asked to write the function formula from given graph.

We can see that our given function is an exponential function, so it will be in form [tex]y=a\cdot b^x[/tex], where,

a = Initial value or y-intercept,

b = Growth rate.

We can see that y-intercept is 4.

Now, we will solve for b using the point (1,8) as:

[tex]8=4\cdot b^1[/tex]

[tex]8=4\cdot b[/tex]

[tex]\frac{8}{4}=\frac{4\cdot b}{4}[/tex]

[tex]2=b[/tex]

Therefore, our required function would be [tex]f(x)=4\cdot (2)^x[/tex] and option A is the correct choice.

Answer:

There are 52 such numbers that have even divisors.

Step-by-step explanation:

All the  numbers between 2 and 59 have an EVEN number of positive divisors.

Except the Perfect Squares..

or 4, 9, 16, 25, 36 and 49, which have 3 divisors each.

So:

59 - 2 + 1 =58

Now subtract 58 from 6 (perfect squares)

58- 6=52

Therefore,it means that there are 52 such numbers that have EVEN divisors....

Answer:

52

Step-by-step explanation:

Shown below

To solve this problem, we need to analyze the leading coefficient and the roots of the polynomial function:

[tex]f(x)=x^3-6x^2+11x-6[/tex]

Recall that a polynomial function can be represented by:

[tex]f(x)=a_{n}(x)+ \ldots +a_{1}x+a_{0}[/tex]

So the leading coefficient is [tex]a_{n}[/tex]. In our problem, this coefficient is [tex]a_{n}=1[/tex]

Since [tex]n[/tex] is odd and the leading coefficient [tex]a_{n}>0[/tex], then the graph must falls to the left and rise to the right. Also, the roots are [tex]x_{1}=1 \ x_{2}=2 \ and \ x_{3}=3[/tex]. So the only graph that matches this is the fourth one as indicated below.

Answer:

w

Step-by-step explanation:

for Plato

Answer:

what are the graphs?

Step-by-step explanation:

Answer:

(0,6)

Step-by-step explanation:

Answer:

[tex]\boxed{6760}[/tex]

Step-by-step explanation:

The formula for the first n terms of an arithmetic sequence is

Sₙ = n(a₁+ aₙ)/2

1. Find the number of terms

n = (124 - 45) + 1 = 79 + 1 = 80

2. Find the sum

 a₁ =   45

a₈₀ = 124

[tex]S_{80} = 80 \left(\dfrac{45 + 124 }{2}\right) = 80 \times 84.5= \boxed{\mathbf{6760}}[/tex]

Answer:

A

Step-by-step explanation:

You only have to pay the $50 one time and then you add the $15 and multiply it by however many months you choose to do.

Answer: A

Step-by-step explanation: Hope this helps

Answer:

x=0, y=4

x=2, y=5

x=4, y=6

x=6, y=7

x=8, y=8

x=10, y=9

For every x value goes up one, the y value goes up 2.

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

x=0, y=4

x=2, y=5

x=4, y=6

Step-by-step explanation:

Answer:

f(-2) = 1/9

Step-by-step explanation:

Plug in -2 to x in the equation:

f(x) = 3^x

f(-2) = 3^(-2)

Solve. Note that if there is a negative in the power, you must flip the "fraction" and set it over 1. The answer itself does not become negative:

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

f(-2) = 1/(9)

f(-2) = 1/9 is your answer.

~

[tex]\frac{1}{9}[/tex]

Answer:

-10x^2 + 40x

Step-by-step explanation:

f(x) = 2x - 8

g(x) = -5x

f(x)g(x)= (2x-8) (-5x)

            = -10x^2 + 40x

Answer:

D. 105.5 square feet

Step-by-step explanation:

Given:

The  rug has a radius of 3 feet.

The floor dimensions are 18 feet by 20 feet.

Now we have to find the area of the rug using area of the circle formula and also we need to find the area of the floor which is in rectangle shape.

Area of a circle = [tex]\pi r^2[/tex]

r = 3 feet and the value of [tex]\pi = 3.14[/tex]

Now plug in the given values in the above formula, we get

Area of a rug = 3.14*3*3

Area of a each rug is  28.27 square feet.

Now let's find the area of the floor.

Area of the floor = length * width

Here length = 18 feet and width = 20

The area of the floor = 18*20

= 360 square feet

Now we have to find how many rugs needed to cover the floor without overlap.

Here the radius of the rug = 3 feet

The diameter of the rug = 2*radius = 2*3 = 6 feet

So one rug covers 6 feet by length and width.

Therefore, 18/6 = 3

The width is 20 feet

20/6 = 3, we have to take the whole number part only.

So Emily needs only 3*3 = 9 rugs.

The area of the 9 rugs = 9*28.27  = 254.43

To find the bare floor will be visible around the rugs, we need to subtract the area of the 9 rugs from the floor area

Bare floor = 360 - 254.43

Bare floor = 105.5 square feet.

Answer:

х – 9 = +9

Step-by-step explanation:

The equation results from taking the square root of both sides of

(x- 9)² = 81 is x -9 = ±9.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have Equation,

(x- 9)² = 81

Now, simplifying for x we get

Take square root on both side

x-9 = √81

x -9 = ±9.

Then, the equation results from taking the square root of both sides is

x -9 = ±9.

Learn more about Square root here:

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Answer:

the answer is C. Hope this helps

Answer:

Step-by-step explanation:

Answer:

(P + 2)(p+ 16)

Step-by-step explanation:

Factor p 2 + 18p + 32.

Consider the form  x² +bx +c. Find a pair of integers whose product is  c  and whose sum is b .

In this case, whose product is  32  and whose sum is  18 .

2,16 .

Write the factored form using these integers.

(P + 2)(p+ 16)

                                        CHECK

(P + 2)(p+ 16)

distribute

p(p+16) + 2(p+16)

simplify

p² + 16p + 2p + 32

combine 16p + 2p = 18p

p² + 18p + 32

Please mark as brainliest

Answer:

(p + 2)(p + 16)

That's your answer!!

Answer:

your answer is there are 6 possible outcomes:

1, 2, 3, 4, 5 or 6

Items are 1, 3, 5 and 4 are equal to a total of 4 out of 6 results.

The answer is 4/6 or 2/3

Hope this helps :) -Mark Brainiest Please :)

Answer:

7

Step-by-step explanation:

-|-7|=

-1 (|-7) =

|-7| = absolute value of |-7| is 7 because an absolute number is always positive.

the minus symbol should be -1.

so the sum is -1(7) = -7

the opposite of -7 is 7

Answer:

Step-by-step explanation:

the opposite of -|-7| is : - (-|-7|) = 1+7l