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2 years ago

8

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

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)

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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 < y then x2 < 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