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Vinvika [58]
3 years ago
14

Bianca puts $10 in a savings account each month and an extra $20 when she receives money for her birthda If her birthday was thi

s week, which expression represents the amount she has saved this year
Mathematics
1 answer:
german3 years ago
8 0
The expression should look something like 10x+20. 
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Select the correct answer from each drop-down menu. A parabola is given by the equation y = x2 − 2x − 3. The directrix of the pa
choli [55]

Answer:

Part 1) The directrix of the parabola is y=-4.25

Part 2) The focus of the parabola is F(1,-3.75)

Step-by-step explanation:

we have

y=x^{2}-2x-3

This is a vertical parabola open upward

we know that

If a parabola has a vertical axis, the standard form of the equation of the parabola is

(x - h)^{2}=4p(y - k)

where

p≠ 0

The vertex of this parabola is at (h, k).

The focus is at (h, k + p).

The directrix is the line y = k - p.

The axis is the line x = h.

step 1

Convert the equation of the parabola in standard form

y=x^{2}-2x-3

y+3=x^{2}-2x

y+3+1=x^{2}-2x+1

y+4=x^{2}-2x+1

y+4=(x-1)^{2}

so

(x-1)^{2}=(y+4) ----> equation in standard form

The vertex is the point (1,-4)

4p=1 ------> p=1/4

step 2

Find the directrix of the parabola

The directrix is the line y = k - p

we have

k=-4

p=1/4

substitute the values

y = k - p

y=-4-(1/4)=-17/4

y=-4.25

step 3

Find the focus of the parabola

we know that

The focus is at (h, k + p).

we have

h=1

k=-4

p=1/4

substitute

F(1,-4+1/4)

F(1,-3.75)

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3 years ago
1) What is the solution of the inequality?<br> 42-8 - 22-24
ki77a [65]

Answer:

38

Step-by-step explanation

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3 years ago
What are the types of polynomial??​
Nana76 [90]

Answer

Monomial, Binomial, and Trinomial

Explanation

Polynomials are algebraic expressions that may comprise of exponents which are added, subtracted or multiplied. Polynomials are of different types. Namely, Monomial, Binomial, and Trinomial. A monomial is a polynomial with one term. A binomial is a polynomial with two, unlike terms. A trinomial is an algebraic expression with three, unlike terms. In the following section, we will study about polynomials and types of polynomials in detail.

5 0
2 years ago
Which number is a factor of 100?<br> 8<br> 12<br> 15<br> 20
vova2212 [387]

Answer:

20

Step-by-step explanation:

Divisors of 100

1, 2, 4, 5, 10, 20, 25, 50, 100

7 0
3 years ago
Read 2 more answers
-2x + y + 3 = 0 <br> 3x + 4y = -1<br> Solve by elimination
faust18 [17]

−2

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