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vagabundo [1.1K]
3 years ago
5

Simplify 6m^2-5m-3+3m+4+9m^2

Mathematics
2 answers:
irinina [24]3 years ago
5 0

Answer:

\huge\boxed{15m^2-2m+1}

Step-by-step explanation:

6m^2-5m-3+3m+4+9m^2\\\\\text{combine like terms}\\\\=(6m^2+9m^2)+(-5m+3m)+(-3+4)\\\\=(6+9)m^2+(-5+3)m+1\\\\=15m^2-2m+1

Jlenok [28]3 years ago
4 0

Answer: 15m²-2m+1

Step-by-step explanation:

To simplify, you want to combine like terms.

15m²-2m+1

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If a figure is dilated by a factor of 1.5, the perimeter of the figure will change by a factor of____
LenaWriter [7]

Answer:

Sir did you get the answer yet i may need help pls with um the 1.5 , area question and the 1.5 perimeter please?

Step-by-step explanation:

5 0
3 years ago
Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \under
saw5 [17]

Answer:

$\[x^2 + 22x + 121\]$

Step-by-step explanation:

Given

$\[x^2 + 22x + \underline{~~~~}.\]$

Required

Fill in the gap

Represent the blank with k

$\[x^2 + 22x + k\]$

Solving for k...

To do this, we start by getting the coefficient of x

Coefficient of x = 22

<em />

Divide the coefficient by 2

Result = 22/2

Result = 11

Take the square of this result, to give k

k= 11^2

k= 121

Substitute 121 for k

$\[x^2 + 22x + 121\]$

The expression can be factorized as follows;

x^2 + 11x + 11x + 121

x(x + 11)+11(x+11)

(x+11)(x+11)

(x+11)^2

<em>Hence, the quadratic expression is </em>$\[x^2 + 22x + 121\]$<em></em>

8 0
3 years ago
Read 2 more answers
Linley rode her scooter for 1/3 hour and traveled 2 1/6 kilometers. What is her average speed in kilometers per hour
34kurt

To find kilometers per hour, we need to multiply 2 1/6 by 3, because it took Linley 1/3 hour to ride that far.

2 1/6 * 3 = 6 1/2

So, her average speed in kilometers per hour is 6 1/2 kph

8 0
3 years ago
Suppose that 10% of the fields in a given agricultural area with about 2,500 fields are infested with the sweet potato white fly
aleksley [76]

Answer:

a. 250 fields

b. 220 to 280 fields

c. Fields are not independent

Step-by-step explanation:

a. The average number of fields sampled that are infested with whitefly =

number of fields X Percentage sampled, 10%

= 2500 X 10% = 250 fields

b.  Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance

σ = √nab

= √na(1-a) = √2500 X 10% X (1- 10%)

= √225 = 15

Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large

μ - 2σ = 250 - 2(15) = 220

μ + 2σ = 250 + 2(15) = 280

Approximately 220 to 280 fields are expected to be infested going by 95% probability observation

c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.

5 0
3 years ago
How many quarts are in 14 liters
Charra [1.4K]
There are five (5) quarts in 14 litera
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3 years ago
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