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Sergio039 [100]
3 years ago
7

The quadratic function in vertex form of a parabola vertex 1,1 and passes through 4,19

Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:

y = 2(x - 1)² + 1

Step-by-step explanation:

The equation of a quadratic function in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (1, 1), thus

y = a(x - 1)² + 1

To find a substitute (4, 19) into the equation

19 = a(4 - 1)² + 1

19 = 9a + 1 ( subtract 1 from both sides )

18 = 9a ( divide both sides by 9 ), thus

a = 2

y = 2(x - 1)² + 1 ← in vertex form

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Each of the following tables defines a relationship between an input x and an output y. Which of the relationships
klemol [59]

Answer:that’s hard

Step-by-step explanation:nope

Nope

4 0
2 years ago
What is the value of the expression 22 + 42 ÷ 22?<br><br> 3<br> 6<br> 8<br> 16
insens350 [35]

Answer:

Step-by-step explanation:

22 + 42 divided by 22

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(42/22) + 22 = a very lonnggg number = 23.9090909091?????

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4 0
3 years ago
Read 2 more answers
Ahmed, Walid and Faisal made $1446 profit from selling used books. If Ahmed to receive double amount of Faisal and Walid to rece
crimeas [40]

Answer:

Faisal receives $241

Ahmed receives $482

Walid receives $723

Step-by-step explanation:

I am going to build a system of equations to solve this question.

We have that:

x is the amount that Faysal received.

y is the amount that Ahmed received.

z is the amount that Walid received.

Ahmed, Walid and Faisal made $1446 profit from selling used books.

This means that

x + y + z = 1446

Ahmed to receive double amount of Faisal

This means that y = 2x

Walid to receive triple amount of Faisal.

This means that z = 3x

So

x + 2x + 3x = 1446

6x = 1446

x = \frac{1446}{6}

x = 241

y = 2x = 2*241 = 482

z = 3x = 3*241 = 723

Faisal receives $241

Ahmed receives $482

Walid receives $723

8 0
3 years ago
100 POINTS PLEASE HELP!!
andrew-mc [135]

Answer:

a)  ∠2 and ∠4 are a linear pair

∠4 = 115°

b)  ∠2 and ∠7 are alternate exterior angles

∠7 = 65°

c) ∠2 and ∠3 are vertical angles

∠3 = 65°

Step-by-step explanation:

Linear pair : a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (two angles whose measures add up to 180°)

Alternate exterior angles : when two parallel lines are cut by a transversal (a line that intersects two or more other, often parallel, lines), the resulting alternate exterior angles are <u>congruent</u>.

Vertical angles : a pair of opposite angles formed by intersecting lines. Vertical angles are always <u>congruent.</u>

a)  ∠2 and ∠4 are a linear pair

⇒ ∠2 +∠4 = 180

⇒ 65 + ∠4 = 180

⇒ ∠4 = 180 - 65

⇒ ∠4 = 115°

b)  ∠2 and ∠7 are alternate exterior angles

⇒ ∠2 ≅ ∠7

⇒ ∠7 = 65°

c) ∠2 and ∠3 are vertical angles

⇒ ∠2 ≅ ∠3

⇒ ∠3 = 65°

5 0
2 years ago
Read 2 more answers
PLEASE HELP ME!!!
fomenos

Answer:

6x=100 that's the algebraic expression

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2 years ago
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