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Levart [38]
3 years ago
15

Which of the following expressions is correct?

Mathematics
1 answer:
AysviL [449]3 years ago
8 0

Answer:

-7.5x3+(20+2.5)=0

this one is equal to 0 ;)

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Complete the square to rewrite y-x^2-6x+14 in vertex form. then state whether the vertex is a maximum or minimum and give its co
ycow [4]

Answer:

y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2

And solving we have:

y= x^2 -6x +9 + 14 -9

y= (x-3)^2 +5

And we can write the expression like this:

y-5 = (x-3)^2

The vertex for this case would be:

V= (3,5)

And the minimum for the function would be 3 and there is no maximum value for the function

Step-by-step explanation:

For this case we have the following equation given:

y= x^2 -6x +14

We can complete the square like this:

y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2

And solving we have:

y= x^2 -6x +9 + 14 -9

y= (x-3)^2 +5

And we can write the expression like this:

y-5 = (x-3)^2

The vertex for this case would be:

V= (3,5)

And the minimum for the function would be 3 and there is no maximum value for the function

4 0
4 years ago
The given function models the number of cars that are put through a quality control test each hour at a car production factory.
Annette [7]

hours each day.

Step-by-step explanation:

The given function models the number of cars that are put through a quality control test each hour at a car production factory.

The given function is

We need to find the number of hours does the quality control facility operate each day.

Rewrite the given function it factored form.

Taking out the common factors from each parenthesis.

The factored form of given function is c(t)=-(t-10)(t+2).

Equate the function equal to 0 to find the x-intercept.

Number of hours cannot be negative. So from t=0 to t=10 quality control facility operate the cars.

Therefore the quality control facility operates for 10 hours each day.

7 0
3 years ago
Read 2 more answers
DO IT AND YOU GET 50 POINTS BUT IF YOU DO BOTH PAGES YOU GET BRAINLEYIST AWNSER.
jeyben [28]

Answer:

23. a-T b-F

24. Words- *3* times the number of *feet*

     Variable- Let *y* represent the number of *yards*

     Model- (I can't do it)

     Expression- The number of feet in*3* yards is given by the expression *3y*

25. 7.8

26. 8.3

27. 14.5

28. Yes. The communitive property tells us that we can switch any two numbers in a multiplication or addition problem

*I did that page like a month ago*

5 0
3 years ago
Read 2 more answers
NEED HELP! ASAP PLEASE!
Doss [256]

Answer:

(0,-41)

Step-by-step explanation:

You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!

7 0
3 years ago
The functions f(x)=√x^2+12x+36 and g(x)=x^3-12 are defined below. Which expression is equal to f(x) · g(x)? A.x^4-6x^3-12x+72 B.
Lostsunrise [7]

Answer:

C: x^4+6x^3-12x-72

Step-by-step explanation:

For the function : f(x)=√x^2+12x+36

It can be factorized to

f(x)=√(x+6)²

=x+6

f(x)*g(x)

=(x+6)(x^3-12)

Expand the brackets

=x^4-12x+6x^3-72

rearrange the numbers

x^4+6x^3-12x-72

3 0
3 years ago
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