Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x.​

Answer:

f(x)= -7 * 2^x

Step-by-step explanation:

The graph of the function goes through the point (0,−7) and (1,−14), so if f(x)= ab^x, then

f(0)= ab^0 = a

f(1)= ab^1 =ab

a=-7 and ab =-14 so,

b= -14/-7 = 2

thus the function is f(x)= -7 * 2^x

The exponential function y = -7b² is the required function.

An exponential function is a function which can be defined as y = aˣ,  Where 'x' is  a variable and 'a' is a constant.

From the given diagram,

The graph of the function go through the points (0,-7) and (1,-14),

And graph is exponential,

Let y= abˣ     (1)

y₀ = a and y₁ = ab

At x=0, y₀ = -7 ⇒a=-7

and ab=-14 ⇒ b= 2

Substitute the value of a and b in equation (1) ,

The function,

y = -7b²

The required function is y = -7b².

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Answer:

she has 4.5

and she should´ve got bacon egg and cheese than that burger

Answer:

The equation of the line in the form Ax+By=C is [tex]\mathbf{ x+4y=-7}[/tex]

Step-by-step explanation:

We need to write an equation of line that have slope m= -1/4 and point(-7,0)

We would use slope-intercept form: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept.

We are given slope m = -1/4 but we need to find y-intercept

Finding y-intercept

Using the slope m= -1/4 and point(-7,0) we can find y-intercept (b)

[tex]y=mx+b\\0=-\frac{1}{4}(-7)+b\\0= \frac{7}{4}+b\\b=-\frac{7}{4}[/tex]

Now finding the equation of line having slope m= -1/4 and y-intercept b= -7/4

[tex]y=mx+b\\y=-\frac{1}{4}x-\frac{7}{4}[/tex]

Now converting into form Ax+By=C :

[tex]y=-\frac{1}{4}x-\frac{7}{4}\\y=\frac{-x-7}{4}\\4y=-x-7\\x+4y=-7[/tex]

The equation of the line in the form Ax+By=C is [tex]\mathbf{ x+4y=-7}[/tex]

Answer:

The probability is [tex]P(X < 450 ) = 0.18703[/tex]

Step-by-step explanation:

From the question we are told that

    The mean is  [tex]\mu = \$ 490[/tex]

     The standard deviation is  [tex]\sigma = \$ 45[/tex]

Generally the probability that he/she earns less than $450 a week is mathematically represented as

        [tex]P(X < 450 ) = P(\frac{X - \mu }{\sigma} < \frac{450 - 490}{45} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

          [tex]P(X < 450 ) = P(Z < -0.8889 )[/tex]

From the z table  the area under the normal curve to the left corresponding to    -0.8889  is

         [tex]P(Z < -0.8889 ) = 0.18703[/tex]

=>     [tex]P(X < 450 ) = 0.18703[/tex]

Answer:

Ok! :)

Step-by-step explanation:

Answer: 449.48

Step-by-step explanation:

The amount of money in the account after 18 years will be $449.5.  

Compound interest is the addition of interest to the principal sum of a loan or deposit. Mathematically -

[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]

where -

[A] = final amount

[P] = initial principal balance

[r] = interest rate

[n] = number of times interest applied per time period

[t] = number of time periods elapse

Given is that a person places $308 in an investment account earning an annual rate of 2.1%, compounded continuously.

We have the expression for compounding as -

V = P[tex]$e^{rt}[/tex]

V = 308 x [tex]$e^{(0.021)(18)}[/tex]

V = 308 x [tex]$e^{0.378}[/tex]

V = 449.5

Therefore, the amount of money in the account after 18 years will be $449.5.  

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Answer:

925

Step-by-step explanation:

I think ;)

Answer:

Step-by-step explanation:

2x. X = 2. H4. 4=22. 7.(2-x) = x+1 mai. شاليها. • -x=x+1. + (3 - 3 x + 1 +. 6-3x = 4x + 4. Bebetto. 2=7x -. - 4-2=34+12. - ý 2=2y+12. +. 3X= 12-X.

Answer:

huh?

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Assuming that you meant the first term to be 4x² then you just plug in -2 to all of the x-values in the function

Answer:

2

Step-by-step explanation:

given f(x) = 4x-10

to find f(3), we simply substitute x = 3 into the function:

f(x) = 4x-10

f(3) = 4(3)-10

= 12-10

= 2

Answer:

2

Step-by-step explanation:

Since f(3), replace all the x's with 3s

f(3) = 4(3) - 10

Answer:

130 is the answer

Step-by-step explanation:

hope this helps

Answer:

c : 2h-5

e: (4x - 3)/6 +5

Step-by-step explanation:

Answer:

Quantitative data

Step-by-step explanation:

Data that can be represented in digits are referred to as quantitative data while data that are in categories or grouped are referred to as categorical data.

A breakdown is:

Quantitative-> Digits e.g. 20, 45

Categorical -> Groups and categories e.g. sex, level, etc.

We understand that weekly wage is represented in digits.

e.g.

The weekly wage of A factory worker is $500.......

From the above example, the wage ($500) is expressed in digits.

The analysis above shows that weekly wage is a quantitative data.

Answer:

Please check the explanation.

Step-by-step explanation:

'3 meals a day' is a unit rate because there is a 1 in the denominator.

A unit ratio is a fraction between two dissimilar units with a denominator 1.

'3 meals a day' indicate that someone is eating 3 meals in one day.

i.e. unit rate = 3 meals / per day

Therefore, we conclude that '3 meals a day' is a unit rate because there is a 1 in the denominator.

The unchanging value of the ratio between the two proportional quantities is called a constant of proportionality.

For example,

we know that the equation

[tex]y=kx[/tex]

where [tex]k[/tex] is the constant of proportionality and '[tex]y[/tex]' and '[tex]x[/tex]' are two proportional quantities, directly proportional to each other.

Thus, The unchanging value of the ratio between two proportional quantities is called the constant of proportionality.

Answer:

1,722 R=3 hope this helps

Answer:

x = -1

Step-by-step explanation:

When two lines are parallel, they have the same slope. To find the value of x, we first have to find the slope of the other line. We can do this by inputting the given points (-7, 10) and (9, 2) into the expression [tex]\frac{y2-y1}{x2-x1}[/tex]:

[tex]\frac{10-2}{-7-9}[/tex]

Solve:

10 - 2 = 8

-7 - 9 = -16

8/-16 can be simplified to -1/2.

The slope of the first line is -1/2. Now we can input the points (1, 3) (x, 4) into the expression used to find slope and equal that expression to the value of the first line's slope. We can do this because we know the slopes will be equal to each other.

[tex]\frac{4-3}{x-1}[/tex] = -[tex]\frac{1}{2}[/tex]

First simplify the left side:

4 - 3 = 1

[tex]\frac{1}{x-1}[/tex] =  -[tex]\frac{1}{2}[/tex]

Now, multiply both sides of the equation by x - 1 to isolate the x on the right side of the equation:

1 = [tex]\frac{-x+1}{2}[/tex]

Multiply both sides by 2:

2 = -x + 1

Subtract 1 from both sides:

1 = -x

Divide both sides by -1 to isolate the x:

-1 = x

The value of x is -1.

To check if our answer is correct we can put the value of x back into the expression used to find slope:

[tex]\frac{4-3}{x-1}[/tex]

[tex]\frac{4-3}{-1-1}[/tex]

Solve:

4 - 3 = 1

-1 - 1 = -2

The slope of the second line is -1/2, which is the same as the slope of the first line, which means that our answer is correct.

Hope this helps :)

Answer:

it is b

bbbbbbb!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

Not congruent

Step-by-step explanation:

Missing angel Q andK

Answer:

C) x = -2

Step-by-step explanation:

We just subtract, -19 + 7 = -2

Answer:

.96 or 24/25

Step-by-step explanation:

Hope this helps!

Answer:

24/25

Step-by-step explanation:

3/25 × 8/1

8 × 3/25

3×8/ 25×1

24/25×1

24/25

Answer: x = 8

Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT

Answer:

x=8

Step-by-step explanation:

Follow the order of operations to simplify the equation:

5(x-3) +2x=41  

Start by multiplying into the parenthesis: 5x-15+2x=41

Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41

Add 15 to both sides: 7x=56

Divide both sides by 7 to get x by itself: x=8

Hope this helps! (^-^)

Answer:

[tex]Model = 80cm[/tex]

Step-by-step explanation:

Given

[tex]Length = 19.2\ m[/tex]

[tex]Scale=1:24[/tex]

Required

Determine the scale measurement in centimeters

The scale can be represented as: [tex]Model : Actual[/tex]

[tex]Scale = Model : Actual[/tex]

Substitute 19.2 for Actual Length

[tex]Scale = Model : 19.2\ m[/tex]

Represent as a fraction

[tex]Scale = \frac{Model}{19.2m}[/tex] --- (1)

Recall that:

[tex]Scale=1:24[/tex]

Represent as a fraction

[tex]Scale = \frac{1}{24}[/tex] --- (2)

Equate (1) & (2)

[tex]\frac{Model}{19.2m} = \frac{1}{24}[/tex]

Multiply through by 19.2m

[tex]Model = \frac{1}{24} * 19.2m[/tex]

[tex]Model = \frac{ 19.2m}{24}[/tex]

Convert to centimeter

[tex]Model = \frac{ 19.2 * 100cm}{24}[/tex]

[tex]Model = \frac{ 1920cm}{24}[/tex]

[tex]Model = 80cm[/tex]

Hence, the length of the scale model is 80 cm

Answer:

3(x+1)<18

3x+3<18

3x<15

x<5

Step-by-step explanation:

Answer:

y = x/2 + 4

Step-by-step explanation:

x = 2y + 4

divide 2 + 4 on both sides in order to isolate y by its self.

x/2 + 4 = 2y + 4/2 + 4

x/2 + 4 = y

y = x/2 + 4

Answer:  

the first one and the last one

Step-by-step explanation:

Answer:

the answer is 50/5=89⅔

Answer:   [tex]\frac{1}{9}(x + 10)[/tex]

Explanation:

Consider something of the form ab + ac. We can factor 'a' out to get a(b+c), then use the distribution property to get back to ab+ac.

So factoring is basically reversing the distributive property.

In this case, a = 1/9, b = x and c = 10.

So,

[tex]\frac{1}{9}x + \frac{10}{9} = \frac{1}{9}x + \frac{1}{9}*10 = \frac{1}{9}(x+10)[/tex]

Answer:

0.48

Step-by-step explanation:

I timed the percentage 0.16×3=0.48