Can anyone solve this for me?

Answer:

here I drew it digitally Hope it helps

Step-by-step explanation:

The graph of the function is a V-shaped curve.

Given that we need to determine the graph of the function f(x) = 7|x - 4| - 1.

To graph the function f(x) = 7|x - 4| - 1, you can follow these steps:

Start by identifying the key points of the function. In this case, the function involves an absolute value, which means it may change direction at the point inside the absolute value.

Set the expression inside the absolute value equal to zero and solve for x to find this critical point:

|x - 4| = 0

x - 4 = 0

x = 4

So, the critical point is x = 4.

Next, consider the behavior of the function on each side of the critical point.

Choose some values of x less than and greater than 4 and substitute them into the function to determine the corresponding y-values.

Let's choose x = 2:

f(2) = 7|2 - 4| - 1

f(2) = 7|-2| - 1

f(2) = 7(2) - 1

f(2) = 14 - 1

f(2) = 13

Let's choose x = 6:

f(6) = 7|6 - 4| - 1

f(6) = 7|2| - 1

f(6) = 7(2) - 1

f(6) = 14 - 1

f(6) = 13

Therefore, we have the points (2, 13) and (6, 13) on the graph.

Plot the critical point and the points you found on the coordinate plane. Mark them on the x-axis and y-axis.

To graph the absolute value part of the function, draw a V-shaped curve with the vertex at the critical point (4, 0).

The arms of the V-shaped curve will pass through the plotted points (2, 13) and (6, 13).

Extend the arms of the V-shaped curve indefinitely in both directions.

Finally, add the constant term (-1) by shifting the entire graph down by 1 unit. This means that every y-value on the graph should be reduced by 1 unit.

Your completed graph of the function f(x) = 7|x - 4| - 1 should resemble a V-shaped curve with its vertex at (4, -1), passing through the points (2, 12) and (6, 12), and extending infinitely in both directions.

The graph of the function is attached.

Learn more about Function click;

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Answer:

Probably B

Step-by-step explanation:

Answer:

The rate of change is of 2.25 degrees per hour.

Step-by-step explanation:

The rate of change in degrees per hour is given by by the change in temperature divided by the change in time(by number of hours).

In this question:

From 6 am to 2 pm, there are 12 - 6 + 2 - 0 = 6 + 2 = 8 hours

The change in temperature was of 76 - 58 = 18º

Rate of change:

18º/8 = 2.25º

The rate of change is of 2.25 degrees per hour.

Answer:

1)k=1.50408

2)=64

3)P(t)=64e^(1.50408t)

4)=118098

5)t=6.42 hrs

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW

A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions.

1. What is the relative growth rate?

2. What was the initial size of the culture?

3. Find an expression for the number of bacteria after t hours.

4. Find the number of cells after 5 hours.

5. When will the population reach 1000000?

To find relative growth rate, expression below can be used

P(t)= Po*e^(kt)

Where k= growth rate

Po= initial amount

t= time in hours

We were given The bacteria count as 1296 after 2 hours and 531441 after 6 hours. This can be expressed below as

P(2)= P(o)e^(2k)= 1296.........eqn(1)

P(6)= P(o)e^(6k)= 531441........eqn(2)

If we find the ratio of the two eqn we have

531441/1296 =[P(o)e^(6k)]/[P(o)e^(2k)]

410.0625= e^(4k)

If we take Ln of both side

ln 410.0625=ln(e^4k)

k=1.50408

1)= k=1.50408

2)

From P(2)= Po*e^(2k)= 1296

1296=Po × e^(2×1.50408)

1296= Po × e^(3.00816)

Po=1296/e^(3.00816)

=64

3) the expression is P(t)=64e^(1.50408t)

4). P(5)=64e^(1.50408×5)

=118098

5) P(t)= 1,000,000

1000000=64e^(1.50408t)

1000000/64 = 64e^(1.50408t)

Ln(15625)=ln[e^(1.50408t)]

9.657=e^(1.50408t)

t=6.42 hrs

Answer:

Test statistic Z = 1.8099

Step-by-step explanation:

Step(i):-

Given that mean of the Population (μ) = 59.1 miles/gallon

Mean of the sample (x⁻ ) = 59.5

The standard deviation of the Population = 2.89

mean of the sample (n) = 160

Step(ii):-

Test statistic

              [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

              [tex]Z = \frac{59.5-59.1 }{\frac{2.89}{\sqrt{160} } }[/tex]

              Z = 1.8099

Test statistic = 1.8099

Answer:

i would think that there would be at least 100 m&m in the bag

Step-by-step explanation:

i might be wrong a hven't had m&m in about 10 years

Answer:

See explanation below

Step-by-step explanation:

Explain what is the difference between the solutions to 2x=10 and 2x > 10

Given the equations;

2x  = 10

x = 10/2

x = 5

For the equation 2x > 10

x > 10/2

x > 5

The first equation has only one solution which is 5 while the second equation has infinite number of solutions since the values of x can take any value that is greater than 5

Answer: 4/10 , 6/15, 8/20,

Step-by-step explanation:

Answer:  Equivalent fractions of 2/5 : 4/10 , 6/15 , 8/20 , 10/ Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

3(3) + 2 (2(3)+6)

=9 + 2 (12)

=9 + 24

=33

hola. én gou. hul gh ghî

Answer: 669

Step-by-step explanation:

Answer:

Probably equal to 6 or 7.

Step-by-step explanation:

Answer:

The answer is x = 20

Step-by-step explanation:

If you set both equations equal to each other and solve for x, you will get 20.

3x+32 = 5x-8        add 8 to both sides

3x+40 = 5x           subtract 3x from both sides

40 = 2x                 divide by 2 on both sides

20 = x

Answer:

He did not multiply 2/3 by a fraction equal to 1.

Step-by-step explanation:

For example he could have multiplied 2/3 by 4/4

= 2*4/3*4 = 8/12,

Here the positive intercept should be considered as the -1 and 5.

Since X-Intercept shows the landing point i.e. bottom of the cliff since all x intercepts contains a y value of 0.

In this case it would be 0 feet.

So,

[tex]h(x)= -16x^2-16x+80x+80[/tex]

h(x)= -x(16x-16) +5(16x+16)

h(x)= (-x+5)(16x+16)

x intercepts = -1 and 5

Learn more about intercept here: https://brainly.com/question/15546484

Answer:

$7.20

Step-by-step explanation:

60% of 4.5 = 2.7

4.5+2.7 = $7.2

Answer:

7.2

Step-by-step explanation:

So u do 60% of 4.5 and add ur answer to 4.5

Answer: ok so I am bad at this but i would pick.....the top one

Step-by-step explanation:

Answer:

1: Yes they are both equivalent because 48/8 is 6 and 24/4 is 6.

2: They would score 750 points because you divide 150 by 3 and get 50, then you multiply 50 by 15 and get 750!

Step-by-step explanation:

Answer:

y=200+3x

Step-by-step explanation:

I hope that this helps you

Answer: p(x) = $1*(2)^x

Step-by-step explanation:

First, the father pays him $1 for only starting the work, and for each hour, the payment is doubled.

So after the first hour, the payment wil be 2*$1 = $2.

After the second hour, the payment will be 2*(2*$1) = $1*(2)^2

After another hour, the payment will be 2*($1*(2)^2) = $1*(2)^3

We already can see the pattern here, after x hours, the payment will be:

p(x) = $1*(2)^x

This is the function that models this situation.

Answer:

48 pages

Step-by-step explanation:

112÷7=16 so 3x16=48

Answer:

27

Step-by-step explanation:

3/10 / 30% / .3

3        x

10        90            -use criss cross method so 3 and 90 and x times 10

270 =10x

27=x

you can also go on a calculator and type 90 times 0.3 and get the answer too

Answer:

Susana will have 107 students.

Step-by-step explanation:

Becca have students = 115

We can write its as:

Becca has 115 students, so Susana will have 115-8 = 107 students

Because fewer means less than so, 8 less than 115 is 115-8

We can write it as:

Susana has 107 students, so Erika will have: 107+25 = 132 students.

because more means we need to add 25 students with number of students in Susana class.

So, Susana will have 107 students.

Answer:

x = 79.799

Step-by-step explanation:

Apply trigonometric ratio formula to find x.

Thus, find the adjacent side of each triangle using 40° and 65° as reference angles respectively.

✔️Adjacent length of the triangle with reference angle 40°:

tan (40) = 110/adj

adj*tan(40) = 110

Adjacent length = 110/tan(40)

Adjacent length = 131.093 (nearest thousandth)

✔️Adjacent length of the triangle with reference angle 65°:

tan (65) = 110/adj

adj*tan(65) = 110

Adjacent length = 110/tan(65)

Adjacent length = 51.294 (nearest thousandth)

✔️Find x:

x = 131.093 - 51.294

x = 79.799

Answer:

1 mi 1927 ft

Step-by-step explanation:

Turn everything into feet:

5mi x 5280 ft/1 mi  = 26,400ft + 1,348 ft = 27, 748 ft

3mi x 5280 ft/1 mi = 15,840ft + 4,701 ft = 20,541 ft

Do the subtration that the problem wants you to do:

27, 748 ft - 20,541 ft = 7,207 ft

Turn the answer into mi & ft:

7,207 ft - 5280 ft = 1927 ft

=

1 mi 1927 ft

Answer:

y=4/7x

Step-by-step explanation:

Graph the point (4,7) and (0,0) because x is pint and y is servings

The equation is y=4/7 x because the slope is 4/7 and it starts at the origin.

Answer . m= -1/8

Step-by-step explanation:

The perpendicular slope is the negative reciprocal. Meaning that the numerator and denominator are switched and the sign of the slope becomes the opposite. (if the slope was -8, then the perpendicular slope would be 1/8)

Answer:

24 inches

Step-by-step explanation:

The television is  a rectangular screen, the diagonal represents the hypotenuse side while the length and height are the adjacent and opposite side in  no particular order hence we can use Pythagoras theorem to find the length.

Recall that the theorem states that

opposite side^2 + adjacent side^2 = hypotenuse side^2

let the length of the television screen be L

L^2 + 18^2 = 30^2

L^2 + 324 = 900

L^2 = 900 - 324

L^2 = 576

L = √576

= 24 inches