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3 years ago

More math questions if you would

Mathematics

2 answers:

Sholpan [36]3 years ago

7 0

Answer:

Step-by-step explanation:

So we are given the function:

$f(x)=7x+8$

To find the inverse of the function, we simply need to flip f(x) and x and then solve for f(x). Thus:

$x=7f^{-1}(x)+8\\x-8=7f^{-1}(x)\\f^{-1}(x)=\frac{x-8}{7}$

So the answer is A.

dybincka [34]3 years ago

7 0

Answer:

$\large \boxed{\mathrm{Option \ A}}$

Step-by-step explanation:

f(x) = 7x+8

Write f(x) as y.

y = 7x + 8

Switch variables.

x = 7y + 8

Solve for y to find the inverse.

x - 8 = 7y

$\frac{x-8}{7}$ = y

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After 1 year, $800 deposited in a savings account with simple interest had earned $64 in

stepan [7]

Answer:

Step-by-step explanation:

We will use the equation provided to solve this problem.

$I=Prt$

Lets plug in the values:

$64=800x(1)$ First, divide both sides by 800.

$.08=x(1)$ Multiply x by 1

$x = .08$

Now, we multiply .08 by 100 to get our interest rate:

(.08)100 = 8

The interest rate is 8%

7 0

3 years ago

Brian is selling cookies at a bake sale. He earns $2.75 for each bag of cookies he sells. Write an equation to represent this sc

sesenic [268]

Let C equal bags of cookies
Let M equal money earned

2.75c=m

Probably not enough sorry if it isn't

5 0

3 years ago

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What could be the value for x? 3/14 < x < 3/13

Ksju [112]

Answer:

14^3/100 i think im not 100% sure so if its wrong dont get mad

Step-by-step explanation:

8 0

3 years ago

2. 35 45 n; 10, 11, 12

eduard

35 = 45 - n
think of it as money
45 dollars take away how many (n) = 35 dollars
45 - n =35
or you can subtract 45 from both sides
-n = 35-45
-n = -10
divide by -1 from both sides
n = 10

4 0

3 years ago

Consider a circle whose equation is x2 + y2 + 4x – 6y – 36 = 0. Which statements are true? Check all that apply. To begin conver

umka21 [38]

Answer:

1) False, to begin converting the equation to standard form, each side must be added by 36. 2) True, to complete the square for the x terms, add 4 to both sides, 3) True, the center of the circle is at (-2, 3), 4) False, the center of the circle is at (-2, 3), 5) False, the radius of the circle is 7 units, 6) False, the radius of the circle is 7 units.

Step-by-step explanation:

Let prove the validity of each choice:

1) To begin converting the equation to standard form, subtract 36 from both sides:

Let consider the following formula and perform the following algebraic operations:

(i) $x^{2} + y^{2} + 4\cdot x - 6\cdot y - 36 = 0$ Given

(ii) $x^{2} + 4\cdot x + y^{2} - 6\cdot y - 36 = 0$ Commutative Property

(iii) $(x^{2} + 4\cdot x + 4) - 4 + (y^{2} - 6\cdot y + 9) - 9 -36 = 0$ Modulative/Associative Property/Additive Inverse Existence

(iv) $(x+ 2)^{2} - 4 + (y - 3)^{2} - 9 - 36 = 0$ Perfect Trinomial Square

(v) $(x+2)^{2} +(y-3)^{2} = 4 + 9 + 36$ Commutative Property/Compatibility with Addition/Additive Inverse Existence/Modulative Property

(vi) $(x+2)^{2} + (y-3)^{2} = 49$ Definition of Addition/Result

False, to begin converting the equation to standard form, each side must be added by 36.

2) True, step (iii) on exercise 1) indicates that both side must be added by 4.

3) The general equation for a circle centered at (h, k) is of the form:

$(x-h)^{2}+ (y-k)^{2} = r^{2}$

Where $r$ is the radius of the circle.

By direct comparison, it is evident that circle is centered at (-2,3).

True, step (vi) on exercise 1) indicates that center of the circle is at (-2, 3).

4) False, step (vi) on exercise 1) indicates that the center of the circle is at (-2, 3), not in (4, -6).

5) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

6) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

5 0

3 years ago

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