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3 years ago

30 POINTS HELP FOR BRAINLIEST

Mathematics

1 answer:

Marta_Voda [28]3 years ago

6 0

Answer:

Step-by-step explanation:

f(x) =x^2 - 6x + 21

f(xl =0

Answer:

substitute 0 for x

f(0) = 0^2 - 6(0) + 21

0. = 0 - 0 + 21

0. = 21

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Vertical symetticalt

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Write the rule for the linear function. Remember a function rule is written using f(x)

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Answer:

The rule for the linear function will be:

$f(x) = -2x+5$

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear

Taking two points from the table to determine the slope

(1, 3)

(2, 1)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:3\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)$

$m=\frac{1-3}{2-1}$

$m=-2$

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (1, 3)

$y-y_1=m\left(x-x_1\right)$

$y - 3 = -2 (x-1)$

$y-3 = -2x+2$

adding 3 to both sides

$y-3+3 = -2x+2+3$

$y = -2x+5$

$f(x) = -2x+5$

Therefore, the rule for the linear function will be:

$f(x) = -2x+5$

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3 years ago

Find the mean absolute deviation

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First find the mean (sum divided by number of values)
4+5+8+10+15=42
42/5=8.4
Then find the difference between each of the numbers and the mean.
4.4, 3.4, 0.4, 1.6, 6.6
Then find the mean of those values.
4.4+3.4+0.4+1.6+6.6=16.4
16.4/5=3.28
Final answer: 3.28

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The sketch was 36 inches wide

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Trains Two trains, Train A and Train B. weigh a total of 196 tons. Train A is heavier than Train B. The

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Answer:

Train A = 128

Train B = 68

Step-by-step explanation:

We can set up a system of equations for this problem

Let A = # of tons of Train A

Let B = # of tons of Train B

A + B = 196

A = B + 60

Now, we plug in A for the first equation, using substitution

(B+60) + B = 196

2B + 60 = 196

Subtract 60 from both sides

2B = 136

Divide both sides by 2

B = 68

Plug in 68 for B in the 2nd equation

A = 68 + 60

A = 128

Checking work: 128 + 68 = 196 :D hope this helped

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2 years ago

*30 POINTS* HELP FOR BRAINLIEST

30 POINTS HELP FOR BRAINLIEST