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2 years ago

Describe in a couple of sentences what key features you can identify from the graph of a quadratic equation?

1 answer:

6 0

From the graph of a quadratic equation, you can find:
The roots. These are the points where the graph crosses the x-axis, and is the solution of the quadratic equation when y=0. Usually, there are either two or zero.
The coefficient of the leading term. In the quadratic equation y= ax^2 + bx + c,
the parabola points upward if a is positive, and downward if a is negative.
The vertex. You can find the vertex, or where the two sides of the parabola meet, by looking at the graph.

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Keri is simplifying 5·10^−3.

11111nata11111 [884]

Answer:

1. D

2. A

Step-by-step explanation:

Q1. Kerry is simplifying $5\cdot 10^{-3}$

By the definition of negative powers,

$a^{-n}=\dfrac{1}{a^n}$

Hence,

$10^{-3}=\dfrac{1}{10^3}$

So, the first step in simplifying the expression is

$5\cdot 10^{-3}=5\cdot \dfrac{1}{10^3}$

Q2. Given the expression

$\dfrac{8}{10^{-2}}$

First, use the definition of negative powers:

$10^{-2}=\dfrac{1}{10^2}$

Thus,

$\dfrac{8}{10^-2}=\dfrac{8}{\frac{1}{10^2}}=8\cdot 10^2=8\cdot 100=800$

8 0

2 years ago

Find the missing term in the sequence 3 ,-1 ,- 5 ____ -13 a. -6 b. -7 c. -9 d. -11

Reil [10]

Answer:

C. -9

Step-by-step explanation:

The pattern is clearly subtracting 4 each time (or adding -4).

-5 - 4 = -9

6 0

3 years ago

Read 2 more answers

2(3x – 1) = –6x – 2 can someone help

Gnom [1K]

Let's solve your equation step-by-step.

2(3x−1)=−6x−2

Step 1: Simplify both sides of the equation.

2(3x−1)=−6x−2

(2)(3x)+(2)(−1)=−6x+−2(Distribute)

6x+−2=−6x+−2

6x−2=−6x−2

Step 2: Add 6x to both sides.

6x−2+6x=−6x−2+6x

12x−2=−2

Step 3: Add 2 to both sides.

12x−2+2=−2+2

12x=0

Step 4: Divide both sides by 12.

12x/12= 0/12

x=0

Answer:

x=0

HOPE THIS HELPS!!! :)

5 0

2 years ago

The recursive rule for a geometric sequence is given.

Sladkaya [172]

Answer:

an = 2/5 * (5) ^ (n-1)

Step-by-step explanation:

The common ratio is 5

(That is the number we multiply by)

The formula is

an = a1 (r) ^ (n-1)

an = 2/5 * (5) ^ (n-1)

7 0

3 years ago

Read 2 more answers

select the expression that represents the following problem: a glass hold 1/4 sliter of liquid. how many glasses of liquid are i

Alex777 [14]

Answer:

20 glasses

Step-by-step explanation:

A glass holds 1/4 liter of water so if you have 4 cups you will have 1 liter of water. If you need 5 liters than you just multiply the number of cups per liter by the number of liters

4 x 5 = 20

5 0

3 years ago