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olga55 [171]
2 years ago
15

Enter your answer and show all the steps that you use to solve this problem and write your final answer in factored form.

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
5 0

Answer:

4x³ +2x² + 2x

Step-by-step explanation:

1- Determine the sign

2- Combine like terms

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Find the surface area of the Triangular prism.<br><br> A = bh<br><br> A = 1/2(bh)
Mekhanik [1.2K]

Answer:

Surface area of triangular prism =1/2(bh)

=1/2(3*4)

=6

4 0
3 years ago
(50 points to answer 3 questions)
snow_tiger [21]

Answer:

y = −55x + 275

The initial value is 5

Mike's distance from home when he begins cycling

Step-by-step explanation:

The equation of a line is

y= mx+b where m is the slope and b is the y intercept

The y intercept is 275

Two points are (0,275) and (5,0)

The slope is (y2-y1)/(x2-x1) = (0-275)/(5-0) = -275/5 =-55

y = -55x+275

The initial value is when x = 0

When x = 0 , y = 5

y = 12-2x

Rewriting

y = -2x+12

This is in the form y = mx +b where the slope is -2 and the y intercept is 12

12 is the initial value or when x = 0.  It would be the distance that he needs to cover.  He needs to go from the library to his house.

5 0
3 years ago
–24 + 12d = 2(d – 3) + 22 what does e=?
olchik [2.2K]

Answer:

-24 + 12d = 2(d - 3) + 22

-24 + 12d = 2d - 6 + 22

-24 + 12d = 2d + 16

        12d = 2d + 40

        10d = 40

            d = 4

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
the population of Watesville decreases at a 1.6% per year.If the population was 62,500 in 2014 what will it be in 2020
vichka [17]

The population in 2020 will be 57657.5 approximately

<u>Explanation:</u>

Given:

Population in 2014, P = 62,500

Rate of decrease, r = 1.6%

Population in 2020, Q = ?

Number of years between 2014 to 2020 = 5 years

Population in 2020 = P(1 - \frac{r}{100} )^t

Substituting the value we get:

Q = 62500(1- \frac{1.6}{100})^5\\ \\Q = 62500 ( 0.92252) \\\\Q = 57657.46

Therefore, the population in 2020 will be 57657.5 approximately

7 0
3 years ago
a gardenner is designing a new garden in the shape of a trapezoing she wants the short base to be twice the height and loger bas
taurus [48]

Answer:

Height = 5 ft

Short base = 10 ft

Long base = 14 ft

Step-by-step explanation:

Let h = height, a = short base, b = long base.

From the question,

a = 2h

b = a + 4 = 2h + 4

The area of the trapezoid is given by \frac{1}{2}(a+b)h. Thus,

60 = \frac{1}{2}(2h + 2h + 4)h

60 = \frac{(4h  + 4)h }{2}

60 = \frac{4h(h  + 1)}{2}

60 = 2h(h  + 1)

30 = h(h  + 1)

0 = h^2  + h - 30

0 = (h+6)(h-5)

h-5 = 0 or h+6 = 0

h= 5 or h = -6

We discard the negative value of h since it is a measurement and cannot be negative.

h= 5

a= 2h=2\times5=10

b= a+4=10+4=14

6 0
3 years ago
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