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maria [59]
3 years ago
13

Please help me!

Mathematics
2 answers:
Harman [31]3 years ago
6 0

Answer:

The graph of g(x) is a vertical translation of f(x). Although both have the same x coordinates but different y coordinates.

The graph of g is a <u>vertical</u><em> </em>translation of the graph of f <u>12</u> units <u>downward</u>.

Step-by-step explanation:

The equation y=f(x)+k represents that when k is negative, the graph moves downward.

Mumz [18]3 years ago
5 0

Answer:

The graph of g is a vertical translation of the graph of f 12 units downward.

Step-by-step explanation:

Hope this helps!!

You might be interested in
Please can someone help!
Rom4ik [11]

Answer:

51 mph

Step-by-step explanation:

→ The first thing we need is a formula which links speed, distance and time so,

Speed = Distance ÷ Time

Speed = mph

Distance = metres/miles

Time = hours

→ Since we want to work out the average speed of the entire journey we need to first work out the total distance and total time. Using the first sentence of the paragraph, it says that <em>the car travels at an average speed of 45 mph for 40 minutes, </em>we can rearrange the formula to work out the distance so,

Speed = Distance ÷ Time

→ Rearrange to get distance as subject

Distance = Speed × Time

→ Substitute in the values

Distance = 45 × 40

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

40 ÷ 60 = 0.666666667

→ Substitute in the time value multiplied by the speed

Distance = 45 × 0.666666667 = 30

⇒ 30 metres/miles is overall distance for the first part of the journey

→ Now we have to work out the distance for the second part of the journey. State the distance formula.

Distance = Speed × Time

→ Substitute in the values into the distance formula

Distance = 60 × 25

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

25 ÷ 60 = 0.416666667

→ Substitute in the time value multiplied by the speed

Distance = 60 × 0.416666667 = 25

⇒ 25 metres/miles is overall distance for the second part of the journey

→ Now we have to add the distance of both the journeys together

25 + 30 = 55

→ Then we add the times of the journey together

40 minutes + 25 minutes = 65 minutes

→ Convert 65 minutes into hours

65 ÷ 60 = 1.08333 hours

→ Substitute both values into the speed = distance ÷ time formula

Speed = 55 ÷ 1.08333 = 50.76923077

→ The question says to round it to the nearest whole number so,

50.76923077 = 51 mph

7 0
3 years ago
Which is the slope of the line that passes through the points (3,5) and (8,7)?
Hatshy [7]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

m=\boxed{\frac{2}{5}}

»»————- ★ ————-««  

Here’s why:  

  • The formula for the slope of two given lines given is 'rise over run'.

⸻⸻⸻⸻

\boxed{\text{Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\\rightarrow (x_1,y_1),(x_2,x_1) - \text{Two Points Given}

⸻⸻⸻⸻

  • We are given the points (3,5) and (8,7).

⸻⸻⸻⸻

\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{7-5}{8-3}\\\\\rightarrow \boxed{m=\frac{2}{5}}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

7 0
3 years ago
for every 6 girls on the softball team there are 9 boys on the baseball team if there are 50 students on both teams how many are
taurus [48]
Key info-there are nine boys for every six girls on the softball team

9/6

9(3)=27. 6(3)18

18+27=45 5 more to go

if there is 50 students on each of the teams

9(5)=45
6(8)=48

As one can see,they both cannot multiply up to 50,but they round up.
5 0
3 years ago
Read 2 more answers
Frank got 24 out of 96 correct in his test. What fraction of the marks did he get correct? Give your answer in its simplest form
Schach [20]

Answer:

1/4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find an explicit solution of the given initial-value problem. (1 + x4) dy + x(1 + 4y2) dx = 0, y(1) = 0
MissTica

Answer:

a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4

Step-by-step explanation:

for the equation

(1 + x⁴) dy + x*(1 + 4y²) dx = 0

(1 + x⁴) dy  = - x*(1 + 4y²) dx

[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx

∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx

now to solve each integral

I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁

I₂=  ∫[-x/(1 + x⁴)] dx

for u= x² → du=x*dx

I₂=  ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ =  - tan⁻¹ (x²) +C₂

then

1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C

for y(x=1) = 0

1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C

since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for  π*N , we will choose for simplicity N=0 . hen an explicit solution would be

1/2 * 0 = - π/4 + C

C= π/4

therefore

1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4

5 0
3 years ago
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