MULTIPLE CHOICE
Souvenir hats, t-shirts, and jackets are sold at a rock concert. Three hats, two t-shirts, and one jacket cost $140. Two hats, two
t-shirts, and two jackets cost $170. One hat, three t-shirts, and two jackets cost $180. Find the prices of the induvial items.

Answer:

25

Step-by-step explanation:

Answer:

= 3.66

Step-by-step explanation:

there you go have a good day

£432.75 to 2 significant figure, is 4.3275*10²  

The term significant figures refers to the number of important single digits (0 through 9 inclusive) in the coefficient of an expression in scientific notation.

Given a term £432.75

Rounding £432.75 to 2 significant figure, we get,

432.75 = 4.3275*10²

Hence, 432.75 to 2 significant figure, is 4.3275*10²

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Answer:

f(x) = 3x - 3

Step-by-step explanation:

First, the slope of the line has to be the same for it to be parallel, so the slope(coefficient of x) of the equation is 3.

Next, to make it pass through that specific point, we need to add/subtract a number to make the equation cross that point.

f(x) = 3x at x = 2 evaluates as 6, but the equation needs to pass through the point (2, 3), so we subtract 3 from the equation, leaving us with f(x) = 3x-3.

Answer:

P=0.01x+100

Step-by-step explanation:

Answer:

Step-by-step explanation: (-4,-10)

Answer:

6

Step-by-step explanation:equals 6

Answer:

If two quantities x and y are related by y = f(x), the derivative f'(xo) represents the rate of change of y with respect to x at the point xo. It is measured in (units of y)/(units of x). A positive rate of change is sometimes called a rate of increase.

Step-by-step explanation:

Answer:

m= -2/5

Step-by-step explanation:

Answer:

85$ was withdrawed.

Step-by-step explanation:

20 + 30 + 35 = 85 - 85 = 0

Answer:

Okays so Luke deposited $20.00, $15.00, and $35.00 so we can make the equation

$20.00 + $15.00 + $35.00 = $70.00

At the end of the month he withdrawaled all of his money which brought it back to $0.00. That means that Luke withdrawled $70.00 from his bank account!

I hope that this helps

Answer:

1 is corr

Step-by-step explanation:

I might be wrong sorry if I am

Answer:

C. 1

Step-by-step explanation:

Answer:

y= -11x/8  - 45/8

Step-by-step explanation:

Write this equation in slope intercept form:

y= mx + b

11x + 8y = -45

8y= -11-45

y= -11x/8  - 45/8

Hope this helps :)

Answer:

B. 0.90x=43

E.2(x-0.10x+2.5)=91

Step-by-step explanation:

Given equation:

   x-0.10x+2.5 = 45.5

     Let us simplify this;

Collect like terms;

         x - 0.10x = 45.5 - 2.5

Simplify;

             0.9x = 43 (Option A)

Also;

        x-0.10x+2.5 = 45.5

     Simplify by multiplying both sides by 2;

    2(x - 0.10x + 2.5) = 2(45.5)

    2(x - 0.10x + 2.5) = 91.0

Also;

      x-0.10x+2.5 = 45.5

        0.9x + 2.5 = 45.5

Those are the three scenarios

Answer:

X=9

Step-by-step explanation:

5 multiplied by 9 is 45 and 45 plus 4 is 49

Answer:

9

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

We have

[tex]g(x)=2x^2 + 3x + \dfrac{2}{x} - 1[/tex]

The function is true [tex]\forall x \in\mathbb{R}[/tex] except 0, because division by zero is undefined.

Therefore, the domain of the function can be written as

[tex]Dom(g) = \mathbb{R}-\{0\} \text{ or } (-\infty, 0)\cup (0, \infty)[/tex]

Answer:

The most amount of dogs that you can walk in a given day is 30 dogs.

Step-by-step explanation:

You decide to charge in 30 minute intervals, and due to your schedule you can only walk 3 hours a day. Then you must know how many intervals of walks you can do in those 3 hours a day that you can walk. Being 1 hour equal to 60 minutes, then 30 minutes equals 2 intervals in 1 hour. Then you can apply the following rule of three: if in 1 hour there are 2 intervals of 30 minutes, in 3 hours how many intervals of 30 minutes are there?

[tex]amounts of intervals=\frac{3hours*2 intervals}{1 hour}[/tex]

amount of intervals= 6 intervals

You determine that you can only walk a maximum of 5 dogs at a given time, that is, in each interval you can walk a maximum of 5 dogs. Then you can apply the following rule of three: if in 1 interval you walk a maximum of 5 dogs, in 6 intervals how many dogs do you walk a maximum?

[tex]amounts of dogs=\frac{5 dogs*6 intervals}{1 interval}[/tex]

amount of dogs= 30 dogs

The most amount of dogs that you can walk in a given day is 30 dogs.

Answer:   [tex]3 \le x \le 5[/tex]

x is any real number between 3 and 5, including both endpoints

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

Explanation:

If A < B, then 1/A > 1/B. Applying the reciprocal flips the inequality sign.

For example, if 2 < 3, then 1/2 > 1/3. It might help to look at the decimal representations

1/2 = 0.500

1/3 = 0.333

We see that 1/2 is larger.

-----------

The inequality [tex]x < y < z[/tex] is the same as [tex]x < y \ \text{ and } \ y < z[/tex].

We've broken the single inequality into two smaller parts.

The given inequality breaks down into [tex]\frac{1}{6} \le \frac{1}{x+1}[/tex] and [tex]\frac{1}{x+1} \le \frac{1}{4}[/tex]

------------

Let's solve the first inequality for x

[tex]\frac{1}{6} \le \frac{1}{x+1}\\\\6 \ge x+1\\\\6-1 \ge x\\\\5 \ge x\\\\x \le 5[/tex]

Repeat for the other inequality as well

[tex]\frac{1}{x+1} \le \frac{1}{4}\\\\x+1 \ge 4\\\\x \ge 4-1\\\\x \ge 3\\\\[/tex]

-------------------------

We found that [tex]x \ge 3 \ \text{ and } \ x \le 5[/tex]

This is the same as [tex]3 \le x \ \text{ and } \ x \le 5[/tex] which combines to [tex]3 \le x \le 5[/tex]

9514 1404 393

Answer:

  -8

Step-by-step explanation:

If α and β are roots of x^2 +5x +a = 0, then we must have ...

  (x -α)(x -β) = x^2 +5x +a

  x^2 -(α+b)x +αβ = x^2 +5x +a

Then ...

  α + β = -5

Together with the other relation between the roots, we have a system of equations in α and β.

Using the above to write an expression for β, we get ...

  β = -α -5

Substituting this into the given relation, we have an equation for α:

  2α +5(-α -5) = -1

  -3α -25 = -1 . . . . . . eliminate parentheses

  -24 = 3α . . . . . . . . add 3α +1

  -8 = α

The root α is equal to -8.

What?

joshuasalazar697 avatar

A because u should have gotten a 3x after adding them together since u do what is inside the () before anything

fionaferlich1 avatar

3+x does not equal 3x

joshuasalazar697 avatar

y not

fionaferlich1 avatar

because 3x equals x times x times x not 3+x

joshuasalazar697 avatar

but why is it d

joshuasalazar697 avatar

they did it right u have to divide it from the right to the left

fionaferlich1 avatar

a rule of inequalities is when you divide by a negative the sign switches. so because u had to divide the entire thing by -6 it should be x is greater than -1

joshuasalazar697 avatar

no u have to divide it by positive 6 cause u are taking it the 6 from the right and moving it under the 6 from the left wich u would divide

fionaferlich1 avatar

u always divide by the coefficient of x and that's -6

joshuasalazar697 avatar

no cause since u moved all the letters to the right and all the lone numbers to the left u have to take that last one and divide it from the one with the x

fionaferlich1 avatar

the one with the x is the coefficient of x which is -6

joshuasalazar697 avatar

yeah i know that ut u don't divide the 6 from the -6x like u gonna divide -6x by 6

joshuasalazar697 avatar

also if i am wrong what happened to the 3 and why did it turn to an 18

fionaferlich1 avatar

so say that's what you're supposed to do (which it is ) but then u would get -x>1 and x must be positive

joshuasalazar697 avatar

i should have paid attention in algebra no wonder I don't get geometry but geometry is way easier

joshuasalazar697 avatar

i see what u are getting to now

joshuasalazar697 avatar

still don't see how 3 turned into 18

joshuasalazar697 avatar

i just say this hole thing is written wrong from the start and made it all wrong

there is ur explanation

Answer:

d

Step-by-step explanation:

since when u divide by a negative it switches signs

Option A is the correct answer, y = x + 2

y - 3 = x-1

If you bring the 3 to the R.H.S, it becomes y = x + 2

If you substitute the values,

3 = 1 + 2

3 = 3

Thus, e equation is correct

The slope-intercept form of the equation for this line is y = 1/2 x  + 5/2

First, we need to get the slope of the equation passing through the coordinate (-9, -2) and (1, 3)

m = 3+2/1+9

m = 5/10

m = 1/2

The equation in point slope form is given as y - 3 = 1/2(x - 1)

2(y - 3) = x - 1

Write in slope intercept form

2(y - 3) = x - 1

2y - 6 = x - 1

2y = x + 5

y = 1/2 x  + 5/2

Hence the slope-intercept form of the equation for this line is y = 1/2 x  + 5/2

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Answer:

~370

Step-by-step explanation:

Columbus = 892,533

US = ~328,200,000

892,533x100=89,253,300

89,253,300x3.5=312,386,550

892,533x20=17,850,660

89,253,300+312,386,550+17,850,660=~328,200,000

100x3.5=350

350+20=370

Answer:

6x^2 + 14x -12

Step-by-step explanation:

Answer:

y= 4x +4

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 4, m= 4.

Substitute m= 4 into the equation:

y= 4x +c

To find the value of c, substitute a pair of coordinates.

When x= 1, y= 8,

8= 4(1) +c

8= 4 +c

c= 8 -4 (-4 on both sides)

c= 4 (simplify)

Thus, the equation is y= 4x +4.

Answer:

-15

Step-by-step explanation:

g(f(-4))=g(4(-4)-5)=g(-21)

g(-21)=-21+6=-15

The given function, f(x) = x, and the function with an input of f(x - 3), which is a transformation of the function f(x), moving it three places to the right, gives the points on the graph of the function as the option;

(negative 1, negative 4), (0, negative 3), (3, 0)

The transformation of a function involves moving the curve or line that represents the function either left, right, down, or up, reflect the graph or compress or expand the curve of the graph of the function.

The given graph is for the function is f(x) = x, the required graph is the graph of the function, f(x - 3), which is evaluated as follows;

Given f(x) = x, we have, f(x - 3) = x - 3

The table of values for both functions is presented as follows:

x;             -4,  -3, -2,  -1,   0,  [tex]{}[/tex]1,   2,   3,   4,   5

f(x)       [tex]{}[/tex]    -4,  -3, -2,  -1,   0,  1,   2,   3,   4,   5

f(x - 3)[tex]{}[/tex]      -7,  -6, -5, -4,  -3, -2, -1,    0,    1,   2

From the above table of values, the points on the function, f(x - 3) are; (-1, -4), (0, -3), (3, 0)

The option which gives the points on the graph that shows the function f(x) with an output of f(x - 3) is therefore;

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Answer: b

Step-by-step explanation:

got it right on edge

Given:

Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long.

Velvet purchased by first customer = 120 centimeters

Velvet purchased by second customer = 14 meters

To find:

The remaining velvet in Malik's shop.

Solution:

We know that,

1 meter = 100 cm

Using this conversion, we get

32 meter = 3200 cm

14 meter = 1400 cm

Now,

Remaining velvet in Malik's shop = (3200 - 120 - 1400) cm

                                                    = 1680 cm

Therefore, the remaining velvet in Malik's shop is 1680 cm.

0.833 pound of apples go into each pie.

Given Brianne has 2 and  half pounds of apples.

she can make 3 pies with no apples left.

Now total quantity of apples she has is 2.5 pound.

Since she can make 3 apple pies with 2.5 pound of apples, so each pie has equal amount of apples.

Now each pie has [tex]\frac{2.5}{3} =0.833[/tex] pounds of apples.

Hence 0.833 pound of apples go into each pie.

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Answer:

-1; -1/2; 1/2; 1; 2          or    factors of -2 are -1, 2, 1, -2

factors of 4 are 1, 4, 2, -1, -4, -2

possible zeros are -1, 1, 1/2, -1/2

try 1

Step-by-step explanation:

Answer:

A

Step-by-step explanation: