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3 years ago

-3(x-1) + 8(x-3) = 6x + 7 - 5x

Mathematics

2 answers:

Mama L [17]3 years ago

8 0

Answer:

x=7

Step-by-step explanation:

-3(x-1) + 8(x-3) = 6x + 7 - 5x

Distribute

-3x +3 +8x -24 = 6x +7 -5x

Combine like terms

5x -21 = x+7

Subtract x from each side

5x-x-21 = 7

4x -21 =7

Add 21 to each side

4x-21+21 = 7+21

4x = 28

4x/4 = 28/4

x=7

ivolga24 [154]3 years ago

3 0

Answer:

x=7

Step-by-step explanation:

-3(x-1)+8(x-3)=6x+7-5x

-3x+3+8x-24=6x+7-5x

5x-21=x+7

4x=28

x=7

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Given that f(–2.4) = -1 and f(-1.9) = -8, approximate f'(-2.4). f'(-2.4)

lora16 [44]

Answer:

f'(-2.4) ≈ -14

General Formulas and Concepts:
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Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

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Step-by-step explanation:

*Note:

The definition of a derivative is the slope of the tangent line.

Step 1: Define

Identify.

f(-2.4) = -1

f(-1.9) = -8

Step 2: Differentiate

Simply plug in the 2 coordinates into the slope formula to find slope m.

[Derivative] Set up [Slope Formula]: $\displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}$
Substitute in coordinates: $\displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}$
Evaluate: $\displaystyle f'(-2.4) \approx -14$

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Learn more about derivatives: brainly.com/question/17830594

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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2 years ago

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3 years ago

If f(x) = 6x2 - 4 and g(x) = 2x + 2, find (f - g)(x).

Dafna11 [192]

Answer:

6x² - 2x - 6

Step-by-step explanation:

note (f - g)(x) = f(x) - g(x), thus

f(x) - g(x)

= 6x² - 4 - (2x + 2) ← distribute

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7 0

3 years ago

Read 2 more answers

Enter the number in standard notation.

Jobisdone [24]

<h3>The length in standard notation is 0.05 meter</h3>

Solution:

Given that,

Jeremy measured the length of an ant as $5 \times 10^{-2}\ meter$

We have to write the length in standard notation

From given,

$Length = 5 \times 10^{-2}\\\\Length = \frac{5}{10^{2}}\\\\Simplify\\\\Length = \frac{5}{100}\\\\Length = 0.05$

Thus the length in standard notation is 0.05 meter

Method 2:

$length = 5 \times 10^{-2}\ meter$

Use the exponent of 10 to determine how many places to move the decimal point

Since exponent is -2, is negative

Thus, we have to move the decimal point to right 2 places

$5 \times 10^{-2} = 0.05$

Thus the length in standard notation is 0.05 meter

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3 years ago

How to find the slope and y intercept when y = x or when x = 6?? someone help me please

Step2247 [10]

I’m not sure for y=x but for when x=6 he slope is undefined and there is no y-intercept

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