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2 years ago

Which equation has a graph that lies entirely above the x-axis?

Mathematics

2 answers:

Alinara [238K]2 years ago

8 0

Answer:

(Option C) y = (x – 7)2 + 7

Step-by-step explanation:

hope this helps!! have an amazing day <3

kogti [31]2 years ago

4 0

Answer:

Answer:

Option C.

Step-by-step explanation:

The vertex form of a parabola is

where, a is constant, (h,k) is vertex.

If a<0, then it is a downward parabola and if a>0, then it is an upward parabola.

A downward parabola never lies entirely above the x-axis.

First equation is

It is a downward parabola and vertex is (-7,7).

Second equation is

It is an upward parabola and vertex is (7,-7).

Third equation is

It is an upward parabola and vertex is (7,7).

Fourth equation is

It is a linear equation with y-intercept -7.

Only equation 3 is an upward parabola whose vertex lies above the x-axis.

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Given one factor of the polynomial, factor the polynomial completely.

astraxan [27]

Answer:

The factors are (x - 1)(x - 5)(x + 2).

Step-by-step explanation:

Long division:

x - 5 )x^3 - 4x^2 - 7x + 10( x^2 + x - 2 <--------- Quotient.

x^3 - 5x^2

x^2 - 7x

x^2 - 5x

- 2x + 10

-2x + 10

...........

x^ 2 + x - 2 = (x + 2)(x - 1).

7 0

2 years ago

Please help. i don't understand

zaharov [31]

78×.33=25.74 busses are new

25.74+15=40.74 new busses

78+15=93 total busses

40.74/78=0.5223076923= 52% will be new with the new 15 busses

4 0

2 years ago

Given f(x)=1/x+5 and g(x)=x-2

vladimir1956 [14]

For this case we have the following functions:

$f (x) = \frac {1} {x + 5}\\g (x) = x-2$

We must find f (g (x)). So:

$f (g (x)) = \frac {1} {(x-2) +5} = \frac {1} {x-2 + 5} = \frac {1} {x + 3}$

Finally we have to:

$f (g (x)) = \frac {1} {x + 3}$

For the function to be defined the denominator must be different from 0. That is x different from -3.

Answer:

Option B

3 0

2 years ago

24 pens in 2 boxes How many pens in 1 box?__________ find unit rate

gogolik [260]

24 pens divided by 2 boxes equals 12 pens per box.

8 0

2 years ago

F + 2.5= 3f + 7.24 (What first step would you do to solve for f? )

Step2247 [10]

Step-by-step explanation:

We have our question.

f + 2.5= 3f + 7.24

Then you combine like terms that taking the coefficients apart.

That is,

NOTE: WHEN TAKING A NUMBER ACROSS AND EQUAL SIGN THE SIGN CHANGES, E.G - TO + .

f - 3f = 7.24 - 2.5

-2f = 4.74

Divide both sides by coefficient of f which is -2

-2f = 4.74

-2 -2

f = 8.49

8 0

2 years ago

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