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2 years ago

Express in completed square form x 2 + 6x + 20

Mathematics

1 answer:

podryga [215]2 years ago

7 0

Answer:

(x + 3)² + 11

Step-by-step explanation:

Given

x² + 6x + 20

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 6x

x² + 2(3)x + 9 - 9 + 20

= (x + 3)² + 11

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5x-2 can someone find the value.

Reptile [31]

Answer:

around 3

Step-by-step explanation:

A solution to an equation is a number that can be plugged in for the variable to make a true number statement. Example 1: Substituting 2 for x in. 3x+5=11. gives.

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2 years ago

Each year a scientist measures the water level of a local lake. Negative numbers indicate that the water level is below its hist

STatiana [176]

Answer:

Step-by-step explanation:

Because when a decimal is only one number after a zero, it equals ten of whatever number it is. Since 60 is greater than 41 it is -0.6 ( -0.60 ) has more negative value than -0.41.

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2 years ago

Lane is making accessories for the soccer team. He uses 759.46 inches of fabric on headbands for 44 players and 2 coaches. He al

madam [21]

Answer:

Fabric used by each each player for headband is 16.51 inches and fabric used for wristband is 1.99 inches

Step-by-step explanation:

In first case it is given that there are players and 2 coaches

So total number = 44+2 = 46

It is given that 759.46 inches of fabric is used on headbands for 44 players and 2 coaches

So fabric used by each player $=\frac{759.46}{46}=16.51inches$

Now in second 87.64 inches fabric is used for 44 players

So fabric used by each players $=\frac{387.64}{44}=1.99inches$

So fabric used by wristband is 1.99 inches

4 0

3 years ago

Can someone help me with this

Daniel [21]

Considering the given graph of the function, we have that:

Function Notation: f(1) = -3.

Ordered pair: (1,-3).

Verbal statement: If x is equal to -1, then the value of f(x) is equal to -3.

<h3 /><h3>How to find the numeric value of a function looking at it's graph?</h3>

To find the numeric value of the function, we get a value of x(horizontal axis), and then look at the corresponding value y(vertical axis), then y = f(x).

In the graph of this function, we have that when x = 1, y = -3, hence:

Function Notation: f(1) = -3.

Ordered pair: (1,-3).

Verbal statement: If x is equal to -1, then the value of f(x) is equal to -3.

More can be learned about functions at brainly.com/question/25537936

#SPJ1

7 0

1 year ago

In a large population, about 10% of people do not like the taste of cilantro, an herb used in cooking. A researcher takes a rand

bogdanovich [222]

Answer:

0.0019390

Step-by-step explanation:

10% of people do not like the taste of cilantro

A researcher takes a random sample of 15 people and surveys whether they like cilantro

Use the binomial distribution to compute the probability that exactly 6 of the people in the sample do not like cilantro.

Probability of success = 0.10 = p

Probability of failure = 0.9 =q

n = 15

r = 6

Formula : $P(X=r)=^nC_rp^r q^{n-r}$

$P(X=6)=^{15}C_6 (0.1)^6 (0.9)^{15-6}$

$P(X=6)=\frac{15!}{6!(15-6)!} (0.1)^6 (0.9)^{15-6}$

$P(X=6)=0.0019390$

Hence the probability that exactly 6 of the people in the sample do not like cilantro is 0.0019390

3 0

2 years ago