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2 years ago

I need help answering this question..

Mathematics

1 answer:

Irina-Kira [14]2 years ago

7 0

Answer:

$x=3$

Step-by-step explanation:

Given: $15=7x-6$

To solve this equation, we need to isolate $x$ on one side of the equation algebraically. I see that we have like terms, but they are on opposite sides of the equal sign. Let's add $6$ to both sides.

$21=7x$

To isolate x, divide both sides by 7.

$x=3$

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June 1st = 1223 starting balance

Dima020 [189]

Answer:

The average daily balance for the month of June is 55.16

Solution:

Given, June 1st = 1223 starting balance

June 10th = 615 deposit

So these will add in the account

June 15th = withdrawal of -63

June 22nd = withdrawal of -120

These will be subtracted from the account.

$\therefore$ We have to add the deposits and subtract the withdrawals from the starting balance to obtain the total amount.

So, the total amount deposited in June is (1223 +615-63-120) = 1655

The total days in June is 30. In 30 days, the total deposit is 1655. To calculate the average balance, we have to divide the total amount by the total number of days in the month.

So, in 1 day the deposit is $\frac{1655}{30} = 55.16$

Hence, the average daily balance for June is = 55.16

5 0

2 years ago

F(x) = e^-x . Find the equation of the tangent to f(x) at x=-1

natima [27]

Answer:

The equation of the tangent line is given by the following equation:

$\displaystyle y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg)$

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]:
$\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Derivative Rule [Basic Power Rule]:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:
$\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

*Note:

Recall that the definition of the derivative is the slope of the tangent line.

Step 1: Define

Identify given.

$\displaystylef(x) = e^{-x} \\x = -1$

Step 2: Differentiate

[Function] Apply Exponential Differentiation [Derivative Rule - Chain Rule]:
$\displaystyle f'(x) = e^{-x}(-x)'$
[Derivative] Rewrite [Derivative Rule - Multiplied Constant]:
$\displaystyle f'(x) = -e^{-x}(x)'$
[Derivative] Apply Derivative Rule [Derivative Rule - Basic Power Rule]:
$\displaystyle f'(x) = -e^{-x}$

Step 3: Find Tangent Slope

[Derivative] Substitute in x = 1:
$\displaystyle f'(1) = -e^{-1}$
Rewrite:
$\displaystyle f'(1) = \frac{-1}{e}$

∴ the slope of the tangent line is equal to $\displaystyle \frac{-1}{e}$ .

Step 4: Find Equation

[Function] Substitute in x = 1:
$\displaystyle f(1) = e^{-1}$
Rewrite:
$\displaystyle f(1) = \frac{1}{e}$

∴ our point is equal to $\displaystyle \bigg( 1, \frac{1}{e} \bigg)$ .

Substituting in our variables we found into the point-slope form general equation, we get our final answer of:

$\displaystyle \boxed{ y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg) }$

∴ we have our final answer.

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Learn more about derivatives: brainly.com/question/27163229

Learn more about calculus: brainly.com/question/23558817

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

Unit: Differentiation

3 0

2 years ago

Eric's apartment is 1350 s1quare feet, how many square meters of carpet will he need to order?

ArbitrLikvidat [17]

Answer:

He needs to order $125.42\ m^{2}$ of carpet

Step-by-step explanation:

we know that

$1\ ft=0.3048\ m$

we have

$1,350\ ft^{2}$

Convert to $m^{2}$

$1,350\ ft^{2}=1,350(0.3048)^{2}=125.42\ m^{2}$

6 0

3 years ago

Read 2 more answers

A bowl contains 4 red marbles and 3 yellow marbles. Tim randomly draws 3 red marbles from the bowl. He replaces each marble afte

mr Goodwill [35]

So,

The probability of drawing a yellow marble is $\frac{3}{7}$ .
Since he replaces the marble after it is drawn out, the probability of drawing another yellow is the same: $\frac{3}{7}$ .

The probability of drawing a red marble is $\frac{4}{7}$ .

In order to get the probability of drawing 2 yellow marbles and 1 red marble, given that each marble is replaced after it is drawn out, we must multiply the fractions together.

$( \frac{3}{7} )( \frac{3}{7} )( \frac{4}{7} ) = \frac{36}{343}$

Because the order of the marbles doesn't matter, we will multiply the probability by 3.
$3( \frac{36}{343} ) = \frac{108}{343}$

6 0

3 years ago

The ratio of the number of circles to the number of triangles in simplest form is ___. The number of circles that need to be add

steposvetlana [31]

Answer:

Step-by-step explanation:

9+10+21

7 0

2 years ago

Read 2 more answers

I need help answering this question..​

I need help answering this question..