the question: a computer manufacturer built a new facility for assembling computers. there were construction and new equipment cost. the company paid for these cost and made combined profits of $80 million after four years as shown in the graft.



answers:

a: f(x)=60x-160
b:f(x)=-60x+160
c:f(x)=-80x +4
d: f(x)= 80x -4

Answer:

40 miles

Step-by-step explanation:

100 - 60 = 40. 40%

60 ÷ 30 = 2. 2 miles = 10%

10 * 4 = 40

Answer:

32 cm

Step-by-step explanation:

When 3 among four numbers are 42,52,52 and their median is 48 then  the fourth number is 45.

What is Median?

Median is the middle number when the given numbers are arranged in ascending or descending order, basically it divides the data into two halves the one is higher half  another is lower half of the data.

For even numbers of data we find median by first  arranging the data in ascending order then we take average of the two middle terms.

Given that among 4 numbers three are 42,51,52

Assume that the fourth no be x  and also Assume that it is among the middle two numbers as median is given 48 to find this number?

Then the data arranged in ascending order is

42,x,51,51

Median=

[tex]\frac{x+51}{2} =48\\x+51=96\\x= 45[/tex]

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Answer:

A

Step-by-step explanation:

Plug in both point values into each of the equations and see if the LHS = RHS.

Only eq A satisfies for both points

eq B satisfies for point (5,6) but not for (1,1)

Equations C and D satisfy for neither point

The equation of the straight line passing through the points (1, 1) and (5, 6) is 4y = 5x - 1.

The general equation of a straight line is -

y = mx + c

Here {m} is the slope which also denotes the unit rate. Unit rate is the rate at which the value of {y} changes per unit change in the value of {x}.

Given is the table as shown in the figure.

The line passes through the points (1, 1) and (5, 6). We can write the slope of the line as -

m = (6 - 1)/(5 - 1)

m = 5/4

So, we can write the equation as -

y = 5x/4 + c

For the point (1, 1), we can write -

1 = 5/4 + c

c = 1 - 5/4

c = (4 - 5)/4

c = -1/4

So, the equation will be -

y = 5x/4 - 1/4

y = (5x - 1)/4

4y = 5x - 1

Therefore, the equation of the straight line passing through the points (1, 1) and (5, 6) is 4y = 5x - 1.

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Answer:

x = 15

Step-by-step explanation:

4/5x - 9 = 3

add 9 to both sides

4/5x = 12

multiply both sides with 5/4

(4/5x)5/4 = 12(5/4)

x = 15

The value of h(3) will be equal to -18.

What do you mean by domain and ranges of a function ?

The domain is the set of all values for which the function is defined and the range of the function is the set of all values that function takes.

As per the question ;

Given function is ;

h(x) = -5x - 3

Here , we have to find out the value of h(x) for x = 3 , and this can be solved if we put the value of x in the expression x - 3.

We know that a function is defined for domain and range , so we have to give a domain here which is x = 3.

So , for x = 3 ;

h(3) can be calculated as follows ,

=(-5 × 3 ) - 3

Firstly we will solve the term within the parentheses.

= -15 - 3

and now we will add both the negative terms and we will get the value  of h (3) which is ,

= -18

Thus , the value of h(3) will be equal to -18.

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Answer:

0.0794%

Subtract the 26.3 from 100 and get the amount for water giving you 73.7

Divide both from their molar masses

26.3/74.55=0.3528

73.7/18.016=4.0908

Add both answers, 0.3528+4.0908=4.4436

Divde the KCl total from the the total moles which gives you your final amswer

0.3528/4.4436=0.0794

Answer: 0.0794

Step-by-step explanation:

Answer:

It’s A took test

Step-by-step explanation:

Answer: I'm pretty sure it's A!

Step-by-step explanation: It's on Edge, hope this helped :)

Answer:

x = 32

Step-by-step explanation:

x - 7 = 25

To solve equations, you do the some thing to both sides to isolate x.

After adding 7 to both sides we have:

x = 32

Answer:

x = 32

Step-by-step explanation:

⇒ Isolate the variable x by adding 7 to both sides:

x – 7 + 7 = 25 + 7

⇒ Evaluate the equation to finally get:

x = 32

Hope this helps! :)

Answer:

10b+10a

Step-by-step explanation:

Answer:

The answer is 10a

Step-by-step explanation:

(1)(0b+10a)

=(1)(0b)+(1)(10a)

=0+10a

=10a

Hope this helps :)

The probability of getting the sum 5 on the faces of both dice is 1/9.

Probability is a branch of mathematics that deals with numerical descriptions of just how likely an occurrence is to occur or how likely a proposition is to be true.

Probability (event) = favourable outcome/ total outcome.

There are 36 possible outcomes when rolling two dice. Keep in mind that now the "sample space" is a set that includes all possible outcomes.

(1,1) (2,1) (3,1) (4,1) (5,1) (6,1)

(1,2) (2,2) (3,2) (4,2) (5,2) (6,2)

(1,3) (2,3) (3,3) (4,3) (5,3) (6,3)

(1,4) (2,4) (3,4) (4,4) (5,4) (6,4)

(1,5) (2,5) (3,5) (4,5) (5,5) (6,5)

(1,6) (2,6) (3,6) (4,6) (5,6) (6,6)

The sample space for getting the sum as 5 on both faces is;

S = {(4,1), (3,2), (2,3), (1,4)}

Thus, the favourable outcome is 4

The total outcome is 36.

P (sum as 5) = favourable outcome for 5/total outcome

P (sum as 5) = 4/36

P (sum as 5) = 1/9

Therefore, the probability that sum is 5 on both the faces of dice is 1/9.

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Answer:

I think C

Step-by-step explanation:

Answer:

It's 9

Step-by-step explanation:

2x+10=3x+1

-x=-9

x=9

9.   LCM of    9, 12, and 15        is   180

12.  LCM of  15, 18, and 30      is   90

15.  LCM of   40 and 1      is   40

16:  factors of 24 :    1,2,3,4,6,8,12,  and 24

17:  factors of 63 :     1, 2, 4, 8, 16, 32 and 64.

18:  factors of 50 :    1, 2, 5, 10, 25, and 50

19:   LCM of : 3 , 2 , 7    is  42

20:  LCM of : 15 , 2        is  30

21:   LCM of : 45,  30    is 90

The Bridge A' main span is 60% shorter than the span of the Bridge B.

The percentage is the difference between two parameters divided by the average of those values.

Now, as per the given question;

Bridge A' span = 2800 feet.

Bridge B' span = 4500 feet.

Percentage difference in span length :

[(difference in span) / span of B] × 100%

Difference in span = 4500 - 2800 = 2700

Now, calculate the percentage difference;

Percentage difference = (2700 / 4500) × 100%

Percentage difference = 0.6 × 100% = 60.0 %

Therefore, the main span of the Bridge B is 60% longer than the main span of bridge A.

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Answer:

Step-by-step explanation:

No because 12/20 is not lower form of 22/30

Answer:

Actually I think it would be 2 1/3

Step-by-step explanation:

18 goes into 8 twice right, so whole number 2 with 2 left over so that makes it 2 2/6 then 2/2 and 6/2 is 1 and 3 so 2 1/3.

9514 1404 393

Answer:

  1 scoop

Explanation:

There are 16 tablespoons in 1 cup, so Xander uses (1/8)·(16 tbsp) = 2 tbsp of topping for each scoop of ice cream.

For 1 scoop of ice cream, Pedro will use 1+1 = 2 tbsp of topping.

Hence, both use the same amount of topping (2 tbsp) for 1 scoop of ice cream.

Answer:

C or A I think it's correct

Answer:

−1 /10 x+4

Step-by-step explanation:

Group like terms

=3/5x-7/10x+12-8

add

-10x+12-8

1/10x=x/10

-x/10+12-8

−1 /10 x+4

If you need more help just ask

3.63/34= 0.1067647058823...

that means each oz of soda is 10.7 cents

Answer:

1.99677419355

Step-by-step explanation:

Answer:

1.996 rounds to 2

Step-by-step explanation:

Answer:

33. y = -x² - 2x + 3

34. y = x² + 4x + 3

Equation of a parabola is given by y = a(x - h)² + k

where:

33.

Looking at the graph find the vertex, vertex is at (-1, 4)

Take one point: (1, 0)

Substitute (h, k) = (-1, 4) and (x, y) = (1, 0) into equation to find value of a:

Now equation:

y = a(x - h)² + k

y = -1(x - (-1))² + 4

y = -(x + 1)² + 4

y = -(x² + 2x + 1) + 4

y = -x² - 2x - 1 + 4

y = -x² - 2x + 3

34.

The vertex is at (h, k) = (-2, -1) and the curve passes through (x, y) = (0, 3)

Find value of a:

Now equation:

y = a(x - h)² + k

y = 1(x - (-2))² - 1

y = 1(x + 2)² - 1

y = (x² + 4x + 4) - 1

y = x² + 4x + 3

Answer:

[tex]\textsf{33.} \quad y=-x^2-2x+3[/tex]

[tex]\textsf{34.} \quad y = x^2+4x+3[/tex]

Step-by-step explanation:

Factored form of a quadratic equation:

[tex]\boxed{y=a(x-r_1)(x-r_2)}[/tex]

where:

From inspection of the graph:

Substitute the roots and the vertex into the formula and solve for [tex]a[/tex]:

[tex]\begin{aligned}y & =a(x-r_1)(x-r_2)\\\implies 4 & = a(-1-(-3))(-1-1)\\4 & = a(2)(-2)\\4 & = -4a\\-4a & = 4\\\dfrac{-4a}{-4} & = \dfrac{4}{-4}\\a & = -1\end{aligned}[/tex]

Substitute the found value of [tex]a[/tex] and the roots into the formula and rewrite in standard form:

[tex]\begin{aligned}y & =a(x-r_1)(x-r_2)\\\implies y & = -1(x-(-3))(x-1)\\y & = -(x+3)(x-1)\\y & = -(x^2+2x-3)\\y & = -x^2-2x+3\end{aligned}[/tex]

Therefore, the equation of the parabola in standard form is:

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

Vertex form of a quadratic equation:  

[tex]\boxed{y=a(x-h)^2+k}[/tex]

where:

From inspection of the graph:

Substitute the vertex and y-intercept into the formula and solve for [tex]a[/tex]:

[tex]\begin{aligned}y & = a(x-h)^2+k\\\implies 3 & = a(0-(-2))^2+(-1)\\3 & = a(0+2)^2-1\\3 & = 4a-1\\3 +1& = 4a-1+1\\4 & = 4a\\4a & = 4\\\dfrac{4a}{4} & = \dfrac{4}{4}\\a & = 1\end{aligned}[/tex]

Substitute the found value of [tex]a[/tex] and the vertex into the formula and rewrite in standard form:

[tex]\begin{aligned}y & = a(x-h)^2+k\\\implies y & = 1(x-(-2))^2+(-1)\\y & = (x+2)^2-1\\y & = (x+2)(x+2)-1\\y & = x^2+4x+4-1\\y & = x^2+4x+3\end{aligned}[/tex]

Therefore, the equation of the parabola in standard form is:

[tex]y & = x^2+4x+3[/tex]