Help please due in 30 minutes

What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?

jenyasd209 [6]

Answer:

$x=-2-\sqrt{\dfrac{11}{2}}\ \text{and}\ x=-2+\sqrt{\dfrac{11}{2}}$

Step-by-step explanation:

My favorite way to go at this is to look at a graph. It shows the vertex at (-2, -11). Since the leading coefficient is 2, this means the roots are ...

$-2\pm\sqrt{\dfrac{11}{2}}$

where the 2 in the denominator of the radical is the leading coefficient.

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You can also use other clues:

the axis of symmetry is -b/(2a) = -8/(2(2)) = -2, so answer choices C and D don't work
the single change in sign in the coefficients (+ + -) tells you there is one positive real root, so answer choice B doesn't work.

The first answer choice is the only one with values symmetrical about -2 and one of them positive.

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You may be expected to use the quadratic formula:

$x=\dfrac{-b\pm\sqrt{b^-4ac}}{2a}=\dfrac{-8\pm\sqrt{8^2-4(2)(-3)}}{2(2)}\\\\=\dfrac{-8}{4}\pm\dfrac{\sqrt{88}}{4}=-2\pm\sqrt{\dfrac{11}{2}}$

7 0

2 years ago

A box contains 14 large marbles and 10 small marbles. Each marble is either green or white 8 of the large marbles are green, and

netineya [11]

The probability that the marble is large or white is 0.5714.

<h3>What is probability?</h3>

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Probability of an event is

P(A) = Number of favorable outcomes/ Total Number of outcomes

= n(A)/n(S)

where

P(A) is the probability of an event “A”

n(A) is the number of favorable outcomes

n(S) is the total number of events in the sample space.

We have,

Number of large marbles = 14

Number of small marbles = 10

Number of large green marbles = 8 which implies

Number of large white marbles = 14 - 8 = 6

Number of small white marbles = 4 which implies

Number of small green marbles = 10 - 4 = 6.

Now, let

Let X be the event of drawing large marble.

Let Y be the event of drawing small marble.

Let M be the event of drawing white marbles.

Let N be the event of drawing green marbles.

Since only one marble is drawn at a time ,

so P(X) = 14/24

P(Y) = 10/24

P(M) = 10/24

P(N) = 14/24

We have to find the probability that a marble is large or white i.e. P(X∪M).

P(X∪M) = P(X) + P(Y) - P(X∩M)

P(X∩M) = In 14 large marbles 6 are white marbles = 6/14.

P(X∪M) = P(X) + P(Y) - P(X∩M) = 14/24 + 10/24 - 6/14 = 0.5833+0.4167-0.4286 = 0.5714.

Therefore, the probability of drawing large or white marble is 0.5714.

To know more about probability, visit

brainly.com/question/19169117

#SPJ4

3 0

1 year ago

Which of the following fractions is closer to 0 than to 1

Nonamiya [84]

E
Because if you do the math

4 0

2 years ago

Read 2 more answers

Suppose two events A and B are mutually exclusive, with P(A) ≠ 0 and P(B) ≠ 0. By working through the following steps, you'll se

DanielleElmas [232]

Answer with Step-by-step explanation:

We are given that two events A and B are mutually exclusive.

$A\cap B=\phi$

$P(A\cap B)=0$

$P(A)\neq 0$

$P(B)\neq 0$

a.For mutually exclusive events,

$P(A/B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{P(A)}=0$

Therefore, event A can not occurred if event B has occurred because two events can not occur together.

Answer:No, by definition mutually exclusive events cannot occur together.

b.When two events are independent

Then , $P(A\cap B)=P(A)\cdot P(B)$

$P(A/B)=\frac{P(A)\cdot P(B)}{P(B)}=P(A)$

If two events are mutually exclusive then

$P(A\cap B)=0$

Then , $P(A/B)=0$

Therefore, $P(A/B)\neq P(A)$

Hence, we can concluded that events A and B are not independent if they are mutually exclusive.

Answer:Yes, $P(A/B)\neq P(A)$

7 0

2 years ago

Please hurry I need to pass this class

Dvinal [7]

Answer:

$\displaystyle m=\frac{-3}{4}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Reading a Cartesian plane
Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A(0, 8)

Point B(4, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{5-8}{4-0}$
[Fraction] Subtract: $\displaystyle m=\frac{-3}{4}$

4 0

2 years ago