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Alexxandr [17]
3 years ago
14

What is the vertex for this function? y=2x2−12x+16

Mathematics
1 answer:
Scrat [10]3 years ago
4 0

Answer:

(3,-2)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex

You might be interested in
Discuss his principles of inheritance by answering the following questions. Two plants are being crossed, each heterozygous for
disa [49]

Answer:

Q1 - What is the possibility that the offspring will have white flowers? Express your answer as a ratio.

A: White flowers only appear if the offspring is homozygous for b because this phenotype is recessive, so they have to present bb phenotype. If both parents are heterozygous (Bb), each one gives one gene at a time per individual after crossing, so 1/4 would be BB, 2/4 would be Bb and 1/4 would be bb.

Q2 - If one parent is also heterozygous for smooth peas, does this mean that all of the offspring with blue flowers will also have smooth peas? Explain your answer without using a Punnett square.

A: No, it doesn't mean that all blue flowers will present smooth peas because those genes are expressed in different loci, so they segregate independently.  There might be some blue flowers with smooth peas, but that is not mandatory for all of them.

Q3 - Suppose both parents are also heterozygous for smooth peas (S), with wrinkled peas (s) as the recessive trait. Use a Punnett square to predict the possibility that the offspring will be homozygous for both flower color and pea texture. Make sure to include a Punnett square and express your prediction as a ratio.

A: Parental genotypes are BbSs x BbSs. Given that the genes segregate independently, we will have the Punnett diagram as follows:

        BS        /    Bs    /     bS   /   bs

BS    BBSS   / BBSs  / BbSS  / BbSs

Bs    BBSs   / BBss  / BbSs   / Bbss

bS    BbSS  / BbSs  / bbSS  / bbSs

bs     BbSs / Bbss  / bbSs  / bbss

Homozygous genotypes are the ones that both genes are the same when expressed, either BB,bb,SS or ss. The probability the offspring is homozygous for both flower color and pea texture is 4/16, or 1/4.

5 0
3 years ago
Which Question Has roots of x= -2 and x
vazorg [7]

See explanation below.

Explanation:

The 'difference between roots and factors of an equation' is not a straightforward question. Let's define both to establish the link between the two..

Assume we have some function of a single variable

x

;

we'll call this

f

(

x

)

Then we can form an equation:

f

(

x

)

=

0

Then the "roots" of this equation are all the values of

x

that satisfy that equation. Remember that these values may be real and/or imaginary.

Now, up to this point we have not assumed anything about

f

x

)

. To consider factors, we now need to assume that

f

(

x

)

=

g

(

x

)

⋅

h

(

x

)

.

That is that

f

(

x

)

factorises into some functions

g

(

x

)

×

h

(

x

)

If we recall our equation:

f

(

x

)

=

0

Then we can now say that either

g

(

x

)

=

0

or

h

(

x

)

=

0

.. and thus show the link between the roots and factors of an equation.

[NB: A simple example of these general principles would be where

f

(

x

)

is a quadratic function that factorises into two linear factors.

4 0
3 years ago
dori lives 1/4 Mile from school if she walks to and from school each day how far does Dori walk during the school week
Arturiano [62]

Answer:

7/2 miles or 3 2/4 miles

Step-by-step explanation:

5 0
3 years ago
Consider the following information related to a set of quantitative sample data:
svlad2 [7]

Answer:

(a) There are outliers

(b) x and x >62

Step-by-step explanation:

Given

\sigma = 14.92

\bar x = 22.0

q_0 = -24

q_1 = 14.5

q_2 = 24.5

q_3 = 33.5

q_4 = 64

Solving (a): Check for outliers

This is calculated using:

Lower = Q_1 - (1.5 * IQR) --- lower bound of outlier

Upper = Q_3 +(1.5 * IQR) --- upper bound of outlier

Where

IQR = Q_3 - Q_1

So, we have:

IQR = 33.5 - 14.5

IQR = 19

The lower bound of outlier becomes

Lower = Q_1 - (1.5 * IQR)

Lower = 14.5 - (1.5 * 19)

Lower = 14.5 - 28.5

Lower = -14

The upper bound of outlier becomes

Upper = Q_3 +(1.5 * IQR)

Upper = 33.5 + 1.5 * 19

Upper = 33.5 + 28.5

Upper = 62

So, we have:

-14 \le x \le 62 --- the range without outlier

Given that:

q_0 = -24  --- This represents the lowest data

q_4 = 64   --- This represents the highest data

-24 and 64 are out of range of -14 \le x \le 62.

Hence, there are outliers

Solving (b): The outliers

The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)

So, the outliers are:

x and x >62

4 0
3 years ago
Write an equation of the line that passes through the given point and has the given slope.
Minchanka [31]

Answer:

y = -x - 4

Step-by-step explanation:

the equation of a linear graph is y = mx + b

you know the m = -1

so now the equation is y = -x + b

from here, what you could do to find b is...

plug (-1, -3) into the equation

1) x = -1, y = -3

2) -3 = -(-1)  + b

3) -3 = 1 + b

4) -4 = b

or you can look at the y-intercept which is where the line intersects with the y-axis

it seems to be (0, -4)

so "b" would be equal to -4

this makes the final equation y = -x + (-4) or y = -x - 4

4 0
2 years ago
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