pls answer the question with explanation

Answer:

a) The inverse is g(x) = (1/70)*x - 50/70

b) The slope intercept form is y = -6*x - 47

Step-by-step explanation:

a) When we have a function f(x), the inverse of this function (let's call it g(x)) is such that:

g(f(x)) = x

f(g(x)) = x

for every x.

In this case, we have:

f(x) = 70*x + 50

This is a linear function, and the inverse will be also a linear function.

Then the inverse will be something like:

g(x) = a*x + b

then:

g( f(x)) = x = a*( 70*x + 50) + b

then we can just solve the equation:

x = a*( 70*x + 50) + b

x = a*70*x + a*50 + b

If we separate terms by the powers of x in each side of the equation, we have:

1*x + 0*x^0 = (a*70)*x + (a*50 + b)*x^0

(where x^0 = 1)

then:

1 = (a*70)

a = 1/70

and:

0 =  (a*50 + b)

0 = 50/70 + b

-50/70 = b

Then the inverse of f(x) is:

g(x) = (1/70)*x - 50/70.

b) The slop-intercept form of a linear equation is:

y = a*x + b

where a is the slope, and b is the y-intercept.

We want to write in this form the equation:

y + 5 = -6*(x + 7)

The first step is to isolate the "y" in one side of the equation:

y = -6*(x + 7) - 5

Now let's simplify the right side:

y = -6*x - 6*7 - 5

y = -6*x - 42 - 5

y = -6*x - 47

This is the slope-intercept form, where the slope is -6, and the y-intercept is -42.

Answer:

[tex]R(x,y) = (0.8,-1.2)[/tex]

Step-by-step explanation:

The coordinates of QS are:

[tex]Q(x_1,y_1) = (-2,-6)[/tex]

[tex]S(x_2,y_2) = (5,6)[/tex]

The ratio is represented as:

[tex]R_{m:n} = 2:3[/tex]

Required

Find the coordinates of R

The coordinates of R is calculated by:

[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Substitute values for m, n, x's and y's

[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]

[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]

[tex]R(x,y) = (0.8,-1.2)[/tex]

None of the options is correct

Answer: 82

Step-by-step explanation:

2 x 5 = 10

12 x 6 = 72

72 + 10 =82      

                                 tell me if u get it right

;)

Answer:

93

Step-by-step explanation:

A composite number is a positive integer that has at least one divisor other than 1 and itself. Basically, the opposite of a prime number.

47, 71 and 89 are all prime numbers. The only composite number is 93.

Answer:

D: 93

Im not 100% sure but i think its right.

Answer:

The degree is even and the function is even.

Step-by-step explanation:

The graph is a parabola, indicating that the degree is even.

The defintion of an even function is that f(x)=f(-x), and by observing the graph of the function, we will be able to verify that f(x)=f(-x). It is therefore an even function.

The degree of the function is even and the function will be even.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function f(x) is graphed below.

The graph of the function is parabolic whose vertex is at (0, -30). And the curve is passing through the x-axis.

Then the equation of the curve will be

f(x) = ax² - 30

Where a is the leading coefficient.

Then the degree of the function is even and the function will be even.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer:

The range is: 7

Step-by-step explanation:

Given the data set

6, 7, 13, 10

Sorting in ascending order

6, 7, 10, 13

We know that the range is the difference between the highest and lowest values in a set of numbers.

Here:

Thus,

Range = Highest Value - Lowest Value

           = 13 - 6

           = 7

Therefore, the range is: 7

Answer:

v = 3.2

Step-by-step explanation:

12v - 38 = (4v-3)/8

multiply each side by 8 to get:

96v - 304 = 4v - 3

92v - 304 = -3

92v = 301

v = 3.27

Answer:

Yes, you are correct. It is (0,0)

Step-by-step explanation:

The lower left side of the curve hits the axis at 0,0 so you are correct. Try it

S = 365√x

Let x = 0

The square root of x when x = 0 is 0.

So S = 365√0

S = 0

Plane XTS and Plane VRS

A option

Answer: -8

Step-by-step explanation:

Solve for x  

5 (x − 2) = 3 (x − 4) − 14  

5x − 10 = 3 (x − 4) − 14

5x − 10 = 3x − 12 − 14

5x − 10 − 3x  = −26

2x  = −26 + 10

2x  = −16

x = −8

Answer:

answer of this equation is (-8)

:-))

Answer:

-3<x<-2

And

3.5<x<4.5

Step-by-step explanation:

Answer:

41.2 miles

Step-by-step explanation:

The computation of the total amount of miles rachel walk and jog last week is as follows;

Unit rate per day is

= 2 3 ÷ 5

= 13 ÷  5

= 2.6 miles

In 7 days, she walked

= 2.6 miles × 7 days

= 18.2 miles

Now for four days, the unit per day is

= 5 3 ÷ 4 × 4

= 23 ÷ 4 × 4

= 23 miles

So, the total amount of miles would be

= 18.2 miles + 23 miles

= 41.2 miles

Answer:-6x

Step-by-step explanation:

=-8x-(-2x)

=-6x

Hope it helped you.

Plz mark me brainliest.

Answer:

-6x

Step-by-step explanation:

-8x - (-2x)

-8x + 2x

-6x

Answer:

y= -4/3 + 2x/3

Step-by-step explanation:

Answer:

[tex] \huge \boxed {y = |x| + 3}[/tex]

Step-by-step explanation:

Similar to Parabola, except this is Modulus Function.

[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]

From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.

Both slopes are also 1 (from rise/run)

Hence, the answer is

[tex]y = |x| + 3[/tex]

Answer:

Both have the same line of symmetry but different turning points

But I maintain that if you had taken a shot of the entire question I would be of much help

Step-by-step explanation:

f(x)=-3x²-4

dy/dx=-6x

-6x=0

x=0

The line of symmetry of this parabola occurs at x=0

The minimum value of the curve is

f(0)=-3(0)²-4=-4

For f(x)=-3x²

dy/dx=-6x²

-6x²=0

x=0

The line of symmetry occurs at x=0

The maximum value=-3(0)²=0

Answer:

A is the answer

Step-by-step explanation:

I think

Answer:

h = 14.5 ft

Step-by-step explanation:

Apply trigonometric ratio formula to find h:

reference angle = 46°

Opposite side = h

Adjacent side = 14 ft

Thus:

Tan 46 = h/14

Multiply both sides by 14

14*tan 46 = h

h = 14.4974243

h = 14.5 (nearest tenth)

Answer:15

Step-by-step explanation:

The box on the left is square in a square all side are equal

Answer:

15

Step-by-step explanation:

That's a square, so all lengths are the same

Answer:

The cost of 1 taco is $1.31 and 1 quesadilla is $2.89

Step-by-step explanation:

Let [tex]x[/tex] be the cost of 1 tacos and [tex]y[/tex] be the cost of 1 quesadilla

Thelma's order

[tex]2x+1y=5.51\quad\ldots(i)[/tex]

Louise's order

[tex]1x+2y=7.09\quad\ldots(ii)[/tex]

Performing the operation [tex]2\times (i)-(ii)[/tex] we get

[tex]4x+2y=11.2[/tex]

[tex]x+2y=7.09[/tex]

[tex]3x=3.93\\\Rightarrow x=\dfrac{3.93}{3}\\\Rightarrow x=1.31[/tex]

[tex]2x+y=5.51\\\Rightarrow 2\times 1.31+y=5.51\\\Rightarrow y=5.51-(2\times 1.31)\\\Rightarrow y=2.89[/tex]

The required answer is

The cost of 1 taco is $1.31 and 1 quesadilla is $2.89.

Answer:

Circle

Step-by-step explanation:

n/a

Answer:

1. -1

2.C

Step-by-step explanation:

Answer:

-1

c

Step-by-step explanation:

Answer:

104.85

Step-by-step explanation:

c:

Answer:

104.85

Step-by-step explanation:

52.425/0.5=104.85

Answer: b<15

Step-by-step explanation: Divide each term by

20 and simplify inequality form: b<15

Answer:

Step-by-step explanation:

the ratio between similar triangles are constant.

so 11/14 has to be equal to z/8 and also a15 = 11/14

so from this we can conclude that z = 8*14/11 = 10.18

Answer:

z = 11 and a = 12

Step-by-step explanation:

These two triangles are similar, in this case, the same angles but different sizes. The answer to this problem is the length of the sides of the triangles. You are given the right side's length on both triangles. The first triangle's sides are 3 (inches, cm, whatever form of measurement is being used) bigger than the second triangle's. Using this information, you can figure out the quantity of both a and z.

Hope this helps.