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diamong [38]
3 years ago
9

What is the equation of the axis of symmetry of a parabola if its x-intercepts are -3 and 7?

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
7 0
This is a parabola, meaning the equation is a quadratic, so it has 2 roots or x-intercepts, keeping in mind that vertex will lie half-way between those intercepts.

so what's the x-value halfway between -3 and 7?  yeap, you guessed it, 2.

so the axis of symmetry for this vertical parabola will be at x = 2.
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StartFraction one-half left-parenthesis x plus 12 right-parenthesis equals 4 x minus 1.(x + 12) = 4x – 1
Alika [10]

Answer:

1/2.(x+12)=4x-1

x+12=2(4x-1)

x+12=8x-2

Group like terms

12+2=8x-x

14=7x

Divide both sides by 7

x=2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Noreen made 8 and 2/3 cups of snack mix for a party. Her uest ate 3/4 of the mix. How much snack mix did her guest eat?
vova2212 [387]
1)8÷2*3=12(cups)
2)12÷3*4=16(mix)
4 0
3 years ago
On Saturday, the vacation resort offers a discount on water sports. To take
MakcuM [25]

Answer:

Let x be the discounting price of a surfing lessons per person

Let y be the discounted price of a surfing lessons per person

The cost of taking a surfing lesson and go parasailing is $130

x + y = 130--------------(i)

25 people take

Surfing lessons, and 30 people go parasailing and a total of $3,650 is collected

25x + 30y = 3650--------------(ii)

We solve for y using equ (i):

y = 130 - x ------------(iii)

Substitute equ (iii) to equ (ii) and solve for x

25x + 30(130 - x) = 3650

25x + 390 - 30x = 3650

-5x = -250

-x = 50

We solve for y using equ (iii):

y = 130 - x

y = 130 - 50

y = 80

So, the discounted price to take a surfing lesson is $50 and the discounted price to go parasailing is $80

3 0
2 years ago
which expression correctly shows the commutative proberty? a)8+14+22+9=(8+14)+(22+9). b)8+14+22+9=8+(14+22)+9. c)8+14+22+9=53. d
Lerok [7]
D has the commutative property because it just flip flopped the numbers.
5 0
3 years ago
What is the value of x
pochemuha

This is the isosceles triangle. Therefore, the angles at the base are congruent.

We know that the sum of the measures of the angles in a triangle is 180°.

Therefore we have the equation:

38^o+x^o+x^o=180^o

38^o+2x^o=180^o        <em>subtract 38 from both sides</em>

2x^o=142^o       <em>divide both sides by 2</em>

x^2=71^o

<h3>Answer: x = 71.</h3>
5 0
3 years ago
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