Absolute value equations : solve for all values of y in the simplest form.
21=|7y|

Answer:

$20.1

Step-by-step explanation:

1 small package is $2.60

1 large package is $3.50

We multiply 3.5 * 5 since there are 5 large packages and we add 1 small package to get $20.1

Answer:

$20.10

Step-by-step explanation:

Let s = the cost of a small package and

l = the cost of a large package

1 small pakcage and 5 large package

1s+5l

Substitute s = $2.60 and l = $3.50

1($2.60) + 5(3.50)

= $20.10

Answer: Derivative of f(x) =3x+5=3

Step-by-step explanation:

By the Sum Rule, the derivative of 3x+5 with respect to x is d/dx[3x]+d/dx[5]

d/dx[3x]+d/dx[5]

evaluate:  d/dx[3x]

Since 3 is constant with respect to x, the derivative of 3x with respect to x is 3d/dx[x].

3d/dx[x]+d/dx[5]

Differentiate using the power rule

which states that d/dx[[tex]x^{n}[/tex]] is [tex]nx^{n-1}[/tex]    where n=1.

3⋅1+d/dx[5]

Multiply 3 by 1.

3+d/dx[5]

Differentiate using the Constant Rule.

Since 5 is constant with respect to x, the derivative of 5 with respect to x is 0.

3+0

Add 3 and 0 = 3

So, derivative of f(x) =3x+5=3

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The equation which could show the missing step in Tyler's solution to the equation as requested in the task content is; 10x + 8x = 36.

It follows from the task content that the missing step in the solution steps is to be determined.

Given an equation;

10x = -4(2x-9)

By distributing -4 on the right hand side, we have;

10x = -8x + 36

The next step which is therefore the missing step is;

Add 8x to both sides of the equation so that we have;

10x + 8x = 36

18x = 36

Divide both sides by 18, so that we have;

x = 2 as obtained in the task content.

Ultimately, the equation which could show the missing step in Tyler's solution to the equation as requested in the task content is; 10x + 8x = 36.

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Answer:

a) 17 b)22

Step-by-step explanation:

a) 3 - (-14)
Negative minus Negative is positive so we get
3+14
which is
17
drawing that on the number line:
<-20---------------0-------------17--20>

b) -36 + 58
we can rearrange the numbers to get
58-36
which is equal to
22
drawing that on the number line:
<-20---------------0---------------20--22>

if this was helpful pls give me brainliest <3

Answer:

B.DATA ANALYSIS

Step-by-step explanation:

uahvaishsbdiisbd hi isjsbbssihsbsbs

we get that the amount invested at 7 % interest rate is $ 15,000 and at 4 % interest rate is $ 13,000.

We are given that:

the total amount invested is = $ 28,000

Let the amount invested at 7 % interest rate be x

Amount invested at 4 % interest rate = 28,000 - x

Interest received at the end of year = $ 1570

ATQ:

7 % x + 4 % ( 28,000 - x) = 1570

7 x + 4 (28,000 - x) = 157000

7 x + 112,000 - 4 x = 157,000

3 x = 157,000 - 112,000

3 x = 45,000

x = 45,000 / 3

x = 15,000

Amount invested at 7 % interest rate =  x = $ 15,000

Amount invested at 4 % interest rate = 28,000 - x = $ 13,000

Therefore, we get that the amount invested at 7 % interest rate is $ 15,000 and at 4 % interest rate is $ 13,000.

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The equivalent expression of 8^-1 is 1/8

The expression is given as

8^-1

The above represents 8 exponent -1

The rule for negative exponents states that

a^-1 = 1/a

This means that

8^-1 = 1/8

Hence, the equivalent expression of 8^-1 is 1/8

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The given statement "The median of a quantitative data set is always one of the individual data values" is false.

When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.

The given statement is not true, this is because the median is the mid-value of any data set.

Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.

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Answer:

k but pls put the question so you that will get support:-)

Answer:

b=7

Step-by-step explanation:

3-5b=-32

-5b=-32-3

-5b=-35

Divide both sides by -5

b=7

( I also had trouble with these kind of expressions)

The measure of each angle are m∠ABC =  40.4 and m∠DEF =  49.6

The given parameters are

m∠ABC = (2x+4)∘ and m∠DEF = (3x−5)∘,

Complementary angles add up to 90 degrees

So, we have

2x + 4 + 3x - 5 = 90

Evaluate the like terms

5x = 91

Divide by 5

x = 18.2

Substitute x = 18.2 in m∠ABC = (2x+4)∘ and m∠DEF = (3x−5)∘,

m∠ABC = (2 x 18.2 + 4) = 40.4

m∠DEF = (3 x 18.2 − 5)∘ = 49.6

Hence, the measure of each angle are m∠ABC =  40.4 and m∠DEF =  49.6

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Taking into account the definition of speed, Monica will complete the triathlon in 12.62 hours.

Speed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated using the expression:

speed= distance traveled÷ time

In this case, you know

Replacing these values ​​in the speed definition:

Solving:

Swim: 1.8 mph×time to swim= 2.4 miles

time to swim= 2.4 miles÷ 1.8 mph

time to swim= 1.33 h

Ride a bike: 19.2 mph× time to ride a bike = 112 miles

time to ride a bike= 112 miles÷ 19.2 mph

time to ride a bike=5.83 h

Run: 4.8 mph× time to run= 26.2 miles

time tu run= 26.2 miles÷ 4.8 mph

time to run= 5.46 h

The time to complete the triathlon is the sum of each of the stages:

Total time= time to swim + time to ride a bike + time to run

Total time= 1.33 h + 5.83 h + 5.46 h

Total time= 12.62 h

In summary, Monica will complete the triathlon in 12.62 hours.

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Answer:

19, 29, 29, 37, 41

Step-by-step explanation:

1. What we know: x y 29 z 41

(x+y+29+z+41)/5 =31

x y and z each >9 and prime

Possibile numbers: 11, 13, 17, 19, 23, 29, 31, 37, 41

2. (x+y+29+z+41)/5 =31

x+y+29+z+41 = (31×5)

x+y+z = (31×5) -29 -41

x+y+z = 85

z>=29

x<=29

y<=29

x and y can be 11, 13, 17, 19, 23, 29

z could be 29, 31, 37, 41

At least one if them must equal 29 because it's the mode.

So two of them must equal 56

11+29=40 so both numbers cannot be less than or equal to 40

This means y is 29 because x + z has to equal 56 and that wouldn't be possible if x equals 29.

Now we know x+z=56

Possible numbers: 19+37

I found these by doing 56- each possible number for x and seeing if that equaled a possible number for z. For example 56-11=45 but z cannot be 45 therefore x cannot be 11 and so on.

Then you just plug in the numbers!

19, 29, 29, 37, 41

This was so much fun to solve! I hope this is helpful, let me know if you have any questions! You got this :)

Answer:

Negative

Step-by-step explanation:

Because knowing that a positive number times a negative number equals negative.

Answer: x=-10

Step-by-step explanation:

LMN=LMF+FMN

125=x+48+x+97

125=2x+48+97

125=2x+145

2x=-20

x=-10

Answer:

(A) is correct.

Step-by-step explanation:

As we know,

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

From the first graph:

The line goes through the points:

(-2, 2) and (2, 1)

y - 1 = (1-2)/(2+2)[x -2]

y - 1 = (-1/4)[x -2]

y = -x/4 + 1/2 + 1

y = -x/4 + 3/2

The constant additive rate of change = -1/4

Thus, the function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.

The amount raised by a booster club compared with the number of  raffle tickets sold shows a constant rate of change;

A constant rate of change is realized when a change in one situation always results in a change in another. In the scenario of a booster club that regularly sells raffle tickets, the more tickets it sells, the higher the club gets.

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Answer:

b = -7

Step-by-step explanation:

2(b + 5) = 3(b - 2) + 23

2b + 10 = 3b - 6 + 23

10 + 6 -23 = 3b - 2b

-7 = b

Answer:

b = -7

Step-by-step explanation:

[tex]2(b+5) = 3(b-2) + 23[/tex]

for the left side of the equation: [tex]2*b + 2*5 = 2b + 10[/tex]

for the right side of the equation: [tex]3*b + 3*-2 = 3b - 6 + 23 = 3b + 17[/tex]

[tex]2b + 10 = 3b + 17[/tex]

to isolate b, subtract 2b from both sides

[tex]10 = b + 17[/tex]

subtract 17 from both sides

[tex]-7 = b\\b = -7[/tex]

Answer:

x = 6

Explanation:

completing square:

[tex]y=x^2-12x+7[/tex]

[tex]y=(x^2-12x)+7[/tex]

[tex]y=(x-6)^2+7-(-6)^2[/tex]

[tex]y=(x-6)^2+7-36[/tex]

[tex]y=(x-6)^2-29[/tex]

Comparing with quadratic equation [tex]y=ax^2 + bx+c[/tex], in vertex form where [tex]y = a(x-h)^2+k[/tex]. In this x - h = 0, x = h defines the symmetry of equation.

So here the symmetry for parabola:

x - 6 = 0

x = 6

Answer:

x = 6

Step-by-step explanation:

The axis of symmetry of a parabola is the x-value of its vertex.

For a quadratic function in the form  [tex]y=ax^2+bx+c[/tex], the x-value of the vertex is:

[tex]x=-\dfrac{b}{2a}[/tex]

Given function:

[tex]y=x^2-12x+7[/tex]

Therefore:

[tex]a=1, \quad b=-12, \quad c=7[/tex]

So the axis of symmetry of the given quadratic function is:

[tex]\implies x=-\dfrac{b}{2a}=-\dfrac{-12}{2(1)}=\dfrac{12}{2}=6[/tex]

Answer:

is that the equation ? is that all they gave you

im going to answer but do you mean

(x +2y+3)

Step-by-step explanation:

The function which represents the taxi fare in terms of distance d in meter is f(d) = 3.50 ×[tex]\frac{d-500}{300}[/tex] + 40 .

According to the question,

For first 500 meters cost is  40.00 and For each additional 300 meters cost is 3.50 .

Let, the total distance of taxi ride = d meters

Now, representing the equation of taxi fare in terms of distance when distance is less than 500

taxi fare = 3.50 ×  [tex]\frac{d-500}{300}[/tex]  + 40

∴  f(d) = 3.50 ×  [tex]\frac{d-500}{300}[/tex] + 40

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The expression that  is equivalent to the quantity seven raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power is negative seven raised to the fourth power divided by three raised to the tenth power.

power in mathematics can be described as the  the  expression  which help to give the representation of repeated multiplication  by the use of same factor.

We can  open the bracket, for each term as [tex]\frac{1}{7^{-2}( ^{2}) }[/tex] and [tex]\frac{1}{3^{10} }[/tex]

Therefore, the second option is correct because they are the option that correct with the description in the question.

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If the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds after cover the distance of 1000 feet.

Given that the speed of car be 30 mph or 44 feet per second, the speed of emergency vehicle be 50 mph or 74 feet per second and the distance between both is 1000 feet apart.

We are required to find the seconds after which the driver of the car first hear the siren.

Speed is basically the distance that a vehicle covers in a particular period of time.

Speed=Distance/Time

Time=Distance/Speed

Total speed in feet per second=44+74=118 feet per second

Time=1000/118

=8.48 seconds

Hence if the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds.

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The function ƒ(x) = e^(2x + 1) when graphed could be described as; an increasing exponential graph.

The graphs of exponential functions are nonlinear—because their slopes are always changing, they look like curves, not straight lines.

Now, we are given the exponential function as;  ƒ(x) = e^(2x + 1)

Now, as the exponent increases, the curves get steeper and the rate of growth increases respectively. Thus, we can see that the exponent we are given increases as seen in the exponent attached to it.

Thus, we can conclude that The function ƒ(x) = e^(2x + 1) when graphed could be described as; an increasing exponential graph.

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Answer: 0.75km

Step-by-step explanation:

The required histogram is attached as a picture.

Given the information on how many pages each of the 20 pupils read throughout the summer.

163, 170, 171, 173, 175, 205, 220, 220, 220, 253, 267, 281, 305, 305, 305, 355, 371, 388, 402, 431

With frequency on the y axis and class on the x axis.

we observe the histogram and make out that:

class 160 - 220 has the highest frequency of 6 students whereas

400 - 460 has the least with 2 students.

The classes between them range as follows:

220 - 280 has 5 students

280 - 340 has 4 students

340 - 400 has 3 students.

Hence the required histogram is created .

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Answer:

5.14 minutes

Step-by-step explanation:

4 pages / 7 minutes = 0.57 minutes per page

0.57 minutes/pg * 9 pages = 5.14 minutes