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hoa [83]
3 years ago
14

Given that f(x) = x2 – 5x – 14 and g(x) = x – 7, find (f +g)(x) and

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

Answer:

(f+g)(x)=x^2-4x-21

Step-by-step explanation:

We are given:

f(x)=x^2-5x-14\text{ and } g(x)=x-7

And we want to find:

(f+g)(x)

This is equivalent to:

=f(x)+g(x)

Therefore, by substitution:

=(x^2-5x-14)+(x-7)

Rearranging gives:

=(x^2)+(-5x+x)+(-14-7)

Combine like terms:

=x^2-4x-21

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The average brain is about 2% of a persons total body weight which fraction is equivalent to 2%
Tcecarenko [31]

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}\qquad \stackrel{\textit{2\% of anything}}{\left( \cfrac{2}{100} \right)anything}\implies \left( \cfrac{1}{50} \right)anything\implies(0.02)anything


in short, we can change any percent formatted number to a decimal or fraction formatted one by simply dividing it by 100.

3 0
3 years ago
What is the rate of change and initial value for the linear relation that includes the points shown in the table? x; 1,3,5,7
BARSIC [14]

Answer:

The rate of change is -5

The initial value is 25

Step-by-step explanation:

Since, this is a linear relation

so, we can select any two points and find equation of line

points are (1,20) and (3,10)

so,

x_1=1,y_1=20

x_2=3,y_2=10

now, we can find slope

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{10-20}{3-1}

m=-5

now, we can use point slope form of line

y-y_1=m(x-x_1)

now, we can plug values

y-20=-5(x-1)

now, we can solve for y

y=-5x+25

we know that

slope is the rate of change

So, the rate of change is -5

For finding initial value , we can plug x=0 and find y

y=-5\times 0+25

y=25

So, initial value is 25

3 0
3 years ago
I need answer I’m being timedddd
natali 33 [55]

Answer: 0

Step-by-step explanation: Good luck! :D

3 0
3 years ago
Read 2 more answers
Weekly wages at a certain factory are
Naya [18.7K]

Answer:

Step-by-step explanation:

Weekly wages at a certain factory are

normally distributed. The formula for normal distribution is expressed as

z= (x - u)/s

Where

u = mean

s = standard deviation

x = weekly wages

From the given information,

u = 400

s = 50

The probability that a worker

selected at random makes between

$350 and $400 is expressed as

P(350 lesser than or equal to x lesser than or equal to 400)

For x = 350

z = (350 - 400)/50 = -50/50 = -1

z = -1

From the normal distribution table, the corresponding z score is 0.1587

For x = 400

z = (400 - 400)/50 = 0/50 = 0

z = 0

From the normal distribution table, the corresponding z score is 0.5

P(350 lesser than or equal to x lesser than or equal to 400)

= 0.5 - 0.1587 = 0.3413

4 0
3 years ago
Read 2 more answers
HELPPPPPPPPPPP , witch should I pick .
lara31 [8.8K]
Answer:
A

Explanation: horizontal line is 180 degrees, and the square means 90 degrees. So adding up the angles z + 90 + z =180
4 0
3 years ago
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