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Lapatulllka [165]
3 years ago
15

Which graph represents the function h(x) = |x| + 0.5? ​

Mathematics
1 answer:
olga55 [171]3 years ago
7 0
Answer:
On a coordinate plane, an absolute value graph has a vertex at (negative 0, 0.5).
Step-by-step explanation:
h(x) = |x| + 0.5
Has its vertex at h(x) = 0, h(x) = |x| + 0.5
0 = |x| + 0.5
|x| = -0.5
So x = -0.5
So, the vertex is at (-0.5, 0)
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A car travels a distance on a road of 12.42 miles at a slope of 6.4%. The car has a maximum speed of 203 mph. Assume the car wil
Neko [114]

Answer:

4 mins 31 seconds

Step-by-step explanation:

Maximum speed is 203 mph equivalent to

203*\frac {5280}{3600}=297.73 ft/s

Time taken to attain maximum speed, t=\frac {v}{a} where v is velocity and a is acceleration hence

t=\frac {297.73}{2.93}=101.6155 s

The distance traveled when at top speed

d=\frac {v^{2}}{2a}=\frac {(297.73)^{2}}{2*2.93}=15127.16 \approx 15127.2 ft

Total distance is provided as 12.42 miles converted to ft is 12.42*5280=65577.6 ft

Total distance-distance moved to attain maximum speed will be

65577.6 ft-15127.2 ft=50450.44 ft

Time taken during maximum speed

t=\frac {50450.44}{297.73}=169.45 s

Total time=101.6155 s+169.45 s=271.06 s

271.06/60=4 mins 31 seconds

8 0
3 years ago
Read 2 more answers
Is 400% of 8 less than 10, greater than 10 but less than 100, or greater than 100
vredina [299]
400% of 8 is 32, so it is greater than 10, less than 100
8 0
3 years ago
Explain why x squared = 16 has two solutions. What are the solutions.
BabaBlast [244]
A negative number * another negative number gives a positive value

A positive number * another positive number also gives a positive value

The solutions are -4, 4


Hope this helps :)
3 0
2 years ago
Solve for x.<br> -2x + 6 ≤ 20<br><br> Please include steps.
s2008m [1.1K]

I hope this is helpful and sorry for my handwriting

5 0
3 years ago
A cereal box is a rectangular prism that is 8 inches long and 2 1/2 inches wide. The volume of the box is 200in3. What is the he
Zarrin [17]

Answer:

Height=10\, inches

Step-by-step explanation:

Volume of a Rectangular Prism is :

             Length\times Width \times Height

For,

Volume=200\,inch^3\\\\Length= 8\,inches\\\\Width=2\dfrac{1}{2}=\dfrac{5}{2}\\\\  Height=?\\

200=8\times \dfrac{5}{2}\times Height\\\\ 200=4\times 5\times Height\\\\200=20\times Height\\\\Height=\dfrac{200}{20}\\\\ Height=10\,inches

The Height of the rectangular prism is: 10\,inches

7 0
3 years ago
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