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serg [7]
2 years ago
13

Does this graph represent a function? Why or why not?

Mathematics
1 answer:
Reil [10]2 years ago
5 0

Answer:

B. Yes, because it passes the vertical line test.

Step-by-step explanation:

Vertical line test - if a vertical line passes through more than one pone, the relation is not a function

Any vertical line will only pass through one point, so this relation is a function

The relation is a function because it passes the vertical line test

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Given ​ f(x)=x^2−2x−5​. <br><br> Enter the quadratic function in vertex form.
FrozenT [24]

Answer:

f(x) = (x-1)^2-6

Step-by-step explanation:

Rewrite the quadratic using the method of completing the square:

x^2-2x-5=(x^2-2x+1)-1-5=(x-1)^2-6\\f(x) = (x-1)^2-6

From this form it is immediately clear that the vertex of the parabola is at x=1 and its y-intercept at -6.

8 0
3 years ago
Draw a line having a slope of 1/3 and y-intercept of -1
Lilit [14]
Equation for slope=1/3 and y-intercept=-1 is:
y = mx + b
where m is slope and b is y-intercept.
So, equation becomes
y = -1x + 1/3
Now put different values of x in the equation to get corresponding value of y.
x          y
0         1/3
1        -2/3
2        -5/3
3        -8/3
-1       4/3
-2       7/3
-3       10/3


8 0
3 years ago
A construction crew is lengthening a road. The road started with a length of
raketka [301]
L = 4d + 54

after crew worked 33 days...d = 33
L = 4(33) + 54
L = 132 + 54
L = 186...so after 33 days, the crew made a road that measures 186 miles
4 0
3 years ago
Suppose a deep sea driver dives from the surface to 248 feet below the surface. He then dives down 10 more feet. Use integers yo
Akimi4 [234]

Answer:

Initial dive: - 248 (below the surface which represents '0')

Second dive: -10

Present depth -248 + -10 = -258 feet below the surface

Step-by-step explanation:

We can use negative integers to represent real-world scenarios such as in elevation and descent, bank account balances and temperatures.  In this case, because a diver is descending below the surface of the water, the surface of the water represents the '0' and going down into the water would be negative integers.  So, his initial dive is 248 down, or negative 248 (-248), he then dives down an additional 10 feet, or negative 10 (-10).  Since the second dive is in addition to his initial dive, we add the two integers together:

-248 + -10 = -258 feet

5 0
3 years ago
7. 3.278 × 0.145
crimeas [40]

Answer:

7. 0.47531

8. 98.7252

9. 13238.984

10. 0.00757576

11. 15011.4286

12. Proper

13. Improper

14. 11/4

15. 33/7

16. 1 4/8 or 1 1/2

17. 3 1/6

Step-by-step explanation:

8 0
2 years ago
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