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2 years ago

What are the solutions to the quadratic equation below? x^2+34x-72=0

Mathematics

1 answer:

Annette [7]2 years ago

7 0

Answer:

( x + 36 ) ( x - 2 ) = 0

Step-by-step explanation:

x^2 + 36x - 2x -72 = 0

x ( x + 36 ) - 2 ( x + 36 ) = 0

( x + 36 ) ( x - 2 ) = 0

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Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.

Luden [163]

Answer:

Answers are below

Step-by-step explanation:

The axis of symmetry for f(x) is at x = 4 because it splits the function in half. I found it by looking at the vertex of the parabola and using the x-value as the axis of symmetry.

The axis of symmetry for h(x) is at x = -2 because it splits the function in half. I found it by looking at the vertex of the parabola and using the x-value as the axis of symmetry.

If these answers are correct, please make me Brainliest!

5 0

3 years ago

Diego works at a warehouse that ships two types of packages, a red package weighing 4 pounds and a blue package weighing 6 pound

Misha Larkins [42]

Answer:

Step-by-step explanation:

Red =x Blue = y

1) 4x + 6y = 180

2) x + y = 40

solve for x in eq. 2 and plug into eq. 1

2a) x=40-y

1a) 4(40-y) + 6y = 180

160-4y +6y = 180

2y=20

y=10

plug into eq. 2

x + 10 =40

x=30

30 red packages

;) maybe a late Christmas gift.. :D

8 0

2 years ago

How do you write 53% as a fraction in lowest terms

Vaselesa [24]

Well you would take 53% then put it over 100 so you should get 53/100

8 0

2 years ago

Read 2 more answers

Which of these sugar syrup will be the sweetest ? The sugar syrup with,Required to answer. Single choice.Immersive Reader (1 Poi

aleksley [76]

Answer: c. 150g of sugar dissolved in 300ml water

Step-by-step explanation:

The concentration of sugar syrup will decide which syrup is sweetest. Concentration is defined as the amount of solute dissolved per unit volume of solution.

a) 50g of sugar dissolved in 150ml water

$Concentration=\frac{50g}{150ml}=0.33g/ml$

b) 100g of sugar dissolved in 500ml water

$Concentration=\frac{100g}{500ml}=0.2g/ml$

c) 150g of sugar dissolved in 300ml water

$Concentration=\frac{150g}{300ml}=0.5g/ml$

d) 250g of sugar dissolved in 1000ml water

$Concentration=\frac{250g}{1000ml}=0.25g/ml$

Thus 150 g of sugar dissolved in 300ml water has highest concentration and is sweetest.

6 0

2 years ago

The equation of the parabola is (y-1)^2 = 16(x+3)

Mandarinka [93]

We know that

if the y terms is squared so it opens left or right

Is a Horizontal Parabola, the equation is of the form
(y-k)²=4(p)(x-h)
vertex is (h,k)
and
p is distance from focus to vertex, also distance from vertex to directrix
if p>0, then it opens to the right and directrix is to the left of vertex
if p<0, then it opens to the left and directrix is to the right of vertex

so
(y-1)²=4(4)(x-(-3))
vertex is (-3,1)
4>0 so directrix is to left of vertex
left is in x direction
-3-4=-7
directrix is x=-7

the answer is
x=-7

see the attached figure

5 0

3 years ago