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1 year ago

I need help on question 9 I would appreciate it:0

Mathematics

1 answer:

Ray Of Light [21]1 year ago

5 0

To determine the inverse function, first, we set the following equation:

$y=-10+8x\text{.}$

Now, we solve the above equation for x:

$\begin{gathered} y+10=8x, \\ \frac{y+10}{8}=x\text{.} \end{gathered}$

Exchanging x and y, we get:

$y=\frac{x+10}{8}\text{.}$

Finally, we substitute y by

$f^{-1}(x)$

and get:

$f^{-1}(x)=\frac{x+10}{8}\text{.}$

Answer:

$f^{-1}(x)=\frac{x+10}{8}\text{.}$

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Dans computer reads 68% of battery left after 1 hour. If the rate of using power remains the same, about how much longer will hi

Tanya [424]

Answer:

28 minutes

Step-by-step explanation:

Dans computer reads 68% of battery left after 1 hour. This means that 1 hour is 68% of the computer's entire battery life.

Let the entire battery life be x (in hours). Hence:

$\frac{1}{x} * 100 = 68$

Therefore:

$\frac{100}{x} = 68\\\\x = \frac{100}{68}$

=> x = 1.47 hrs = 1 hr 28 minutes

Hence, the entire battery life is 1 hr 28 minutes.

If 1 hour has elapsed, the remaining time left for his battery to provide power will therefore be:

1 hr 28 minutes - 1 hr = 28 minutes

His battery will provide power for 28 more minutes.

7 0

3 years ago

ΔABC is a right triangle. Prove: a2 + b2 = c2 Right triangle BCA with sides of length a, b, and c. Perpendicular CD forms right

777dan777 [17]

Answer: Pythagorean Theorem Pieces of Right Triangles is not a justification for the proof.

Explanation : Here, $\triangle ABC$ is a right triangle with sides a, b and c. Perpendicular CD forms right triangles BDC and CDA.

CD measures h units, BD measures y units, DA measures x units.

Draw an altitude from point C to Line segment AB Let segment BC = a segment CA = b, segment AB = c, segment CD = h, segment DB = y, segment AD = x,

y + x = c

a/c=y/a( Similarity theorem in triangles ABC and DBC )

$a^2 = cy$ ------(1) (Cross Product Property)

Similarly, $b^2 = cx$ (Similarity theorem in triangles ABC and ADC)---------(2)

$a^2 + b^2 = cy + cx$ (after adding equation (1) and (2) )

$a^2 + b^2 = c(y + x)$ ( By additional property of equality)

$a^2 + b^2 = c^2$ . ( because y + x=c)

Thus, it has been proved that except Pythagorean Theorem Pieces of Right Triangles we use all other properties.

8 0

3 years ago

Read 2 more answers

I'm confused on how to do this. Please explain step by step. If you respond with just the answer I WILL report you. I would like

Tcecarenko [31]

Answer:

Exact Form:

√2−1

Decimal Form:

0.41421356

…

Step-by-step explanation:

Since 9π/8 is not an angle where the values of the six trigonometric functions are known, try using half-angle identities.

9π/8 is not an exact angle

First, rewrite the angle as the product of 1/2 and an angle where the values of the six trigonometric functions are known. In this case, 9π/8 can be rewritten as

(1/2)* 9π/8 tan ((1/2)* 9π/8)

Use the half-angle identity for tangent to simplify the expression. The formula states that

tan (0/2)=sin(0)/1+cos(0) sin(9π/4)/1+cos(9π/4)

Simplify

Remove full rotations of 2π until the angle is between 0 and 2π.

sin(π/4)/1+cos(9π/4)

The exact value of sin(π/4) is √2/2

√2/2/1+cos(9π/4)

Simplify the Denominator

Remove full rotations of 2π until the angle is between 0 and 2π.√2/2/1+cos(π4)

The exact value of cos(π/4) is √2/2.√2/2/1+√2/2

To write 1/1 as a fraction with a common denominator, multiply by 2/2 .√2/2/1/1⋅2/2+√2/2

Write each expression with a common denominator of 2, by multiplying each by an appropriate factor of 1.

Combine.

√2/2/1⋅2/1⋅2+√2/2

Multiply 2 by 1

√2/2/1⋅2/2+√2/2

Combine the numerators over the common denominator.

√2/2/1⋅2+√2/2

Multiply 2 by 1

√2/2/2+√2/2

Multiply the numerator by the reciprocal of the denominator

√2/2 ⋅ 2/2+√2

Cancel the common factor of 2 .

Factor out the greatest common factor 2

√2/2⋅1 ⋅ 2⋅1/2+√2

Cancel the common factor

√2/2⋅1 ⋅ 2⋅1/2+√2

Rewrite the expression.

√2/1 ⋅ 1/2+√2

Simplify

Multiply √2/1 and 1/2+√2

√2/2+√2

Multiply √2/2+√2 by 2−√2/2−√2

Combine

√2(2−√2)/(2+√2)(2−√2)

Expand the denominator using the FOIL method.

√2(2−√2)/4−2√2+√2⋅2−√2^2

Simplify

√2(2−√2)/2

Apply the distributive property

√2⋅2+√2(−√2)/2

Move 2 to the left of the expression √2⋅2.

2⋅√2+√2(−√2)/2

Simplify

√2(−√2) .

Raise √2 to the power of 1 .

2⋅√2−(√2^1√2)/2

Raise √2 to the power of 1 .

2⋅√2−(√2^1√2^1)/2

Use the power rule a^m a^n=a^m+n to combine exponents.

2⋅√2−√2^1+1/2

Add 1 and 1 .

2⋅√2−√2^2/2

Simplify each term.

Multiply 2 by √2 .

2√2−√2^2/2

Rewrite √2^2 as 2 .

2√2−1⋅2/2

Multiply −1 by 2.

2√2−2/2

Reduce the expression by cancelling the common factors.

Factor 2 out of 2√2.

2(√2)−2/2

Factor 2 out of −2.

2(√2)+2⋅−1/2

Factor 2 out of

2(√2)+2(−1)2(√2−1)/2

Cancel the common factors.

Factor 2 out of 2 .

2(√2−1)/2(1)

Cancel the common factor.

2(√2−1)/2⋅1

Rewrite the expression.

√2−1/1

Divide √2−1 by 1 .

√2−1

The result can be shown in multiple forms.

Exact Form:

√2−1

Decimal Form:

0.41421356…

Hope it help. Good luck.

4 0

3 years ago

Let p and q be statements. Identify the truth table for q → p.

Serjik [45]

Answer:

T F T T.

Step-by-step explanation:

Let p and q be two statement

When the value of p is true and the value of q is true then the value of $q\implies p$ is true.

When the value of p is true and the value of q is false then the value of $q\implies p$ is true.

When the value p is false and the value of q is true then the value of $q\implies p$ is false.

When the value of p is false and the value of q is false then the value of $q\implies p$ is true.

Hence, the value of $q\implies p$ is false when q is true and p is false.

4 1

3 years ago

Read 2 more answers

6. Pleassss helppp!

yaroslaw [1]

Answer:

Step-by-step explanation:

First expand the expression so you know the coefficients of x and y.

4(2x+y+2y) = 4(2x+3y) = 8x+12y

8x+12y = 8x+12y

6x+7y ≠ 6x+12y

8x+y+2y = 8x + 3y ≠ 8x+12y

8x+4y+8y = 8x+12y = 8x+12y

3 0

3 years ago