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ira [324]
3 years ago
8

Expression A: 2x+ 2 Expression B: 1 + 2x + 1 Which statement can be used to show that these expressions are equivalent? A. Each

expression includes the term 2x. B. 2x + 2 can be rewritten as 1 + 2x + 1 using the distributive property C. Both expressions involve addition D. The expressions name the same number regardless of the value of x.​
Mathematics
1 answer:
aliina [53]3 years ago
3 0

Answer:

C. Both expressions involves addition.

Step-by-step explanation:

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You have two exponential functions. One function has the formula g(x) = 5 x . The other function has the formula h(x) = 5-x . Wh
Marrrta [24]
Hmm it would be k(x)=2(5x) or it could be k(x)=10x

Hope this helps!
5 0
3 years ago
Read 2 more answers
Denice is making 25 bouquets. 4/5 of the bouquets are roses and the rest are daisies. How many bouquets are daisies?
erica [24]

Answer:

5 of the bouquets are Daises.

Step-by-step explanation:

25 in all. 4/5 are Roses.

4/5 = Rose Bouquets  1/5 = Daisy Bouquets

4/5 = 20/25  

1/5 = 5/25

So 5 are Daises

7 0
3 years ago
“a railroad bridge spans a gorge 40 feet wide and connects two cliffs at heights of 98 and 158 feet above the bottom of the gorg
VMariaS [17]

Answer:

Height above the bottom gorge is 113 feet

Step-by-step explanation:

The width of the gorge = 40 feet

The height of the higher cliff = 158 feet

The height of the lower cliff = 98 feet

The length of the bridge = √((158-98)² + 40²) = 72.11 feet

The slope of the bridge = (158-98)/40 = 1.5

The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet

The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°

The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet

Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;

Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.

8 0
2 years ago
The quotient of 3,200 and 4 will have -blank- zeros.
Nostrana [21]
B. It will have two zeros. Hope this helps!
3 0
3 years ago
Read 2 more answers
Solve (3x+8)(y^2+4) dx +4
Anna35 [415]

It's been four years since I last did a problem of this particular nature. :)


Try this: divide both sides of the given equation by (x^2-5x+6), obtaining


(3x+8)(y^2+4)          + 4y(x^2+5x+6) dy

-------------------- dx + ------------------------- dy = 0

x^2+5x + 6                         x^2+5x + 6


This gives us:


(3x+8)(y^2+4)

-------------------- dx + 4ydy = 0

(x+2)(x+3)


Now divide all 3 terms by y^2+4:


3x+8

--------------- dx + 4ydy = 0 This completes the separation of variables.

(x+2)(x+3)


Now we'll need to integrate each of the 3 terms.


3x+8

--------------- dx + 4ydy = 0 can be re-written in the form

(x+2)(x+3)


3x     +8              A           B

--------------- = --------- + ---------- We will need to determine the values

(x+2)(x+3)        x+2       x+3 of A and B (partial fraction expansion).


I trust you know how to do this; if not, let me know and I'll help you with that also.


I obtained B=2 and A = 1. You might want to verify that 1/(x+2) + 2/(x+3) =


3x+8

-------------- .

(x+2)(x+3)


Integrating the left side of this d. e. results in ln(x+2) + ln(x+3).

Integrating 4ydy results in 4*y^2/2, or 2y^2.


Integrating 0 results in a constant, C.


Thus,


ln(x+2) + ln(x+3) + 2y^2 = C is the solution of this d. e.


7 0
2 years ago
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