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kifflom [539]
2 years ago
8

The x-intercepts of a parabola are 5 and -7. What is the equation of the axis of symmetry?

Mathematics
1 answer:
zloy xaker [14]2 years ago
4 0
X=-1
The axis of symmetry will be directly in the middle of the intercepts.
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Write the equation in the form Ax + By = C. Find an equation of a line passing through the pair of points (-7,3) and (-8,-9).
Illusion [34]

Answer:

  12x -y = -87

Step-by-step explanation:

You can start with the 2-point form of the equation of a line and manipulate it to give you the standard form.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-9 -3)/(-8 -(-7))(x -(-7)) +3

  y = (-12/-1)(x +7) +3

  y = 12x +84 +3

  -12x +y = 87 . . . . . subtract the x-term

  12x -y = -87 . . . . . . make the leading coefficient positive (per standard form)

3 0
2 years ago
Which mathematical sentence most Accurately expresses the information in the problem below?
d1i1m1o1n [39]

Answer:

Don't quote me on this but it's probably C. 12c ≥ 88

Step-by-step explanation:

This is because he packages 88 eggs <em>into </em>cartons of 12.

88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.

5 0
2 years ago
Let Q(x, y) be the predicate "If x &lt; y then x2 &lt; y2," with domain for both x and y being R, the set of all real numbers.
Levart [38]

Answer:

a) Q(-2,1) is false

b) Q(-5,2) is false

c)Q(3,8) is true

d)Q(9,10) is true

Step-by-step explanation:

Given data is Q(x,y) is predicate that x then x^{2}. where x,y are rational numbers.

a)

when x=-2, y=1

Here -2 that is x  satisfied. Then

(-2)^{2}

4 this is wrong. since 4>1

That is x^{2}>y^{2} Thus Q(x,y) =Q(-2,1)is false.

b)

Assume Q(x,y)=Q(-5,2).

That is x=-5, y=2

Here -5 that is x this condition is satisfied.

Then

(-5)^{2}

25 this is not true. since 25>4.

This is similar to the truth value of part (a).

Since in both x satisfied and x^{2} >y^{2} for both the points.

c)

if Q(x,y)=Q(3,8) that is x=3 and y=8

Here 3 this satisfies the condition x.

Then 3^{2}

9 This also satisfies the condition x^{2}.

Hence Q(3,8) exists and it is true.

d)

Assume Q(x,y)=Q(9,10)

Here 9 satisfies the condition x

Then 9^{2}

81 satisfies the condition x^{2}.

Thus, Q(9,10) point exists and it is true. This satisfies the same values as in part (c)

6 0
2 years ago
At a diner, Hailey's lunch cost $6.75. Her sister's lunch cost $5.95. After lunch they each had a frozen yogurt that cost the sa
aivan3 [116]

Answer:

Each cost 2.50$

Step-by-step explanation:

6.75+5.95=12.7

17.40-12.7=5

5÷2= 2.5

Each cost 2.50$

8 0
3 years ago
Read 2 more answers
In a system of 2 equation with unknowns how many solutions are possible
vfiekz [6]
There are 2 solutions
6 0
3 years ago
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