Variable will the value of the function be equal to −6; −3; 0? Answer: If the value of the function is equal to −6, the value of the independent variable is equal to . If the value of the function is equal to −3, the value of the independent variable is equal to . If the value of the function is equal to 0, the value of the independent variable is equal to .

Answers

Answer 1

Complete Question:

A function is expressed by the equation y = 0.3x − 6. For what value of the independent variable will the value of the function be equal to −6; −3; 0?

Answer:

If the value of the function is equal to −6, the value of the independent variable is equal to 0. If the value of the function is equal to −3, the value of the independent variable is equal to 10. If the value of the function is equal to 0, the value of the independent variable is equal to 20.

Step-by-step explanation:

Given:

[tex] y = 0.3x - 6 [/tex]

Required:

Find x, if y = -6; -3; and 0.

SOLUTION:

x = the independent variable

y = dependent variable

To find x (independent variable), when the value of the function (y) is -6, substitute y = -6 into the equation of the function:

[tex] y = 0.3x - 6 [/tex]

[tex] -6 = 0.3x - 6 [/tex]

[tex] -6 + 6 = 0.3x [/tex] (addition property of equality)

[tex] 0 = 0.3x [/tex]

[tex] \frac{0}{0.3} = \frac{0.3x}{0.3} [/tex]

[tex] 0 = x [/tex]

[tex] x = 0 [/tex]

To find x (independent variable), when the value of the function (y) is -3, substitute y = -3 into the equation of the function:

[tex] y = 0.3x - 6 [/tex]

[tex] -3 = 0.3x - 6 [/tex]

[tex] -3 + 6 = 0.3x [/tex] (addition property of equality)

[tex] 3 = 0.3x [/tex]

[tex] \frac{3}{0.3} = \frac{0.3x}{0.3} [/tex]

[tex] 10 = x [/tex]

[tex] x = 10 [/tex]

To find x (independent variable), when the value of the function (y) is 0, substitute y = 0 into the equation of the function:

[tex] y = 0.3x - 6 [/tex]

[tex] 0 = 0.3x - 6 [/tex]

[tex] 0 + 6 = 0.3x [/tex] (addition property of equality)

[tex] 6 = 0.3x [/tex]

[tex] \frac{6}{0.3} = \frac{0.3x}{0.3} [/tex]

[tex] 20 = x [/tex]

[tex] x = 20 [/tex]


Related Questions

Kacey rode her bicycle 227 miles in 7 hours. How many miles did kacey travel per hour?

Answers

Answer:

39

Step-by-step explanation:

Answer:

32.4825

hope this helped :)

An athlete us jumping. However, everytime she jumps she gets a bit more tired, and every jump goes 1/2 as far as her prior jump. Now, for her very first jump, she goes 1/2 of a foot. On her second jump, she goes 1/4 of a foot, and so on and so forth. How many jumps does it take to get to travel 1 foot

Answers

Answer:

She can never travel a distance of 1 foot for the given condition.

Step-by-step explanation:

In every jump, she goes 1/2 as far as her prior jump.

In the 1st jump, she covered a distance, d_1= \frac 1 2 foot.

The distance covered in the 2nd jump

[tex]d_2= \frac 12 \times d_1 = = \frac 12 \times \frac 12= \frac 1 4[/tex] (given)

So, the distanve covered in the 3rd jump

[tex]=\frac 12 \times d_2= \left(\frac 1 2\right )^2\times \frac 1 2= \left(\frac 1 2\right)^{3-1}\times \frac 1 2.[/tex]

Similarly, the distance covered in the [tex]r^{th}[/tex] jump

[tex]=\left(\frac 12 \right)^{r-1}\times \frac 1 2.[/tex]

Assuming she requires [tex]n[/tex] jumps to travel 1 foot of distance.

So, the sum of all the distances covered in n jumps = 1 foot

[tex]\Rightarrow \frac 1 2 + \frac 1 4 + \cdots + \left(\frac 12 \right)^{r-1}\times \frac 1 2+\cdots+ \left(\frac 12 \right)^{n-1}\times \frac 1 2=1[/tex]

[tex]\Rightarrow \frac 1 2 + \left(\frac 12 \right)^2 + \cdots + \left(\frac 12 \right)^{r}+\cdots+ \left(\frac 12 \right)^{n}=1[/tex]

This a geometric progression, G.P., of [tex]n[/tex] terms having common ration, r= 1/2 and the first term [tex]a_1= 1/2[/tex].

As sum of all the n terms of  G.P [tex]=\frac {a_1(r^n-1)}{r-1}[/tex],

[tex]\Rightarrow \frac {1/2((1/2)^n-1)}{1/2-1}=1[/tex]

[tex]\Rightarrow - \left(\left(\frac 1 2\right)^n-1\right)=1[/tex]

[tex]\Rightarrow \left(\frac 1 2\right)^n-1=-1[/tex]

[tex]\Rightarrow \left(\frac 1 2\right)^n=-1+1=0[/tex]

[tex]\Rightarrow \frac {1}{2^n}=0[/tex]

This is only possible, mathematically, when [tex]n\rightarrow \infty[/tex], But in real life situation reaching infinity is not possible.

Hence, she can never travel a distance of 1 foot for the given condition.

Casey spent half of his weekly allowance on pokemon cards. to earn more money his parents let him wash the car for $7. what is his weekly allowance if he ended with $17.

Answers

well if we take the 17 he ended up with and subtract the 7 extra he got, his weekly allowing would be $10.
the equation would be set up like so: x+7=17
so again you'd just subtract the 7 and end up with 10

José and Maris work for different car dealerships. José earns a monthly salary of $3,500 plus a 8% commission on sales. Maris earns a monthly salary of $3,900 plus a 6% commission on sales. Above what value of sales are José's monthly earnings more than those of Maris?

Answers

Answer: When sales are greater than 2000 then  José's monthly earnings sre more than those of Maris.

Step-by-step explanation:

Let  x= Total sales

For José, monthly salary = $3,500

Commission percentage =  8% =0.08

Monthly earnings= Monthly salary + (Commission percentage) x (Total sales)

Monthly earnings= 3500 +0.08 x

For Maris, monthly salary = $3,900

Commission percentage =  6%

Monthly earnings= 3900 +0.06 x

When José's monthly earnings > Maris's monthly earnings

then, 3500 +0.08 x > 3900 +0.06 x

Subtract 3500 from both sides, we get

0.08 x > 400+0.06x

Subtract 0.06x from both sides, we get

0.02x>400

Divide both sides b 0.02

x> 20000

When sales are greater than 2000 then  José's monthly earnings sre more than those of Maris.

(+16) + (-32) =

A -12

B 14

C -16

Answers

Answer:

-16

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

16+(-32)= -16

PLEASE HELPPP I DONT UNDERSTAND

Answers

Step-by-step explanation:

You need to do the distributive property to answer this question.

Everything in the outside of the parenthesis needs to be multiplied by each number inside the parenthesis.

Hope this helps you!

Answer:

(3 ^2  x 2x^ 4 y^2  )

Step-by-step explanation:

PLEASEEE HELP TOMORROW IS THE LAST DAY TO THEN STUFF IN AND ITS REPORT CARDS

Answers

This is ezz homework pay attention in class

I think this is correct

a body of mass 10kg acted upon by a force of 40N for 0.5secs. Find the:(i)impulse on the body. (ii)final speed of the body. (iii)distance covered within the time interval.

Answers

Step-by-step explanation:

20n 20394848484848575

The impulse on the body is 20 kg-m/s, the final speed of the body is 2m/s, and the distance covered within the time interval is 0.5m.

What is Force?

Force is the strength applied on an object with mass to change its state of motion.

The mass of the body is 10kg.

The force applied on the object is 40N.

The time for which the force is applied is 0.5 sec.

The impulse on the body is calculated by,

Impulse =  Force * Time

Impulse = 40 * 0.5

Impulse = 20 kg-m/s

The final speed of the body is given by

v = u + at

Assuming the initial speed = 0

v = at

Acceleration =  Force / mass

Acceleration = 40/10

a = 4 m/s²

v = 4 * 0.5

v = 2 m/s

The distance covered within the time interval is given by,

s = ut + (1/2) at²

s = (1/2) at²

s = (1/2) 4 * 0.5 *0.5

s = 0.5 m

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Can someone translate this graph to me? It’s supposed to tell me how much dirt is in cubic yards

Answers

25 per cubic yard Bc (1,25) (2,50) so we use the formula 50-25=25 and 2-1=1 then we divide 25 by 1 which gives us 25 per cubic yard

Please please please please please help

Answers

Answer:

2.68

Step-by-step explanation:



Harold earns $10.50 per hour working at a doctor's office. On Monday, he spent 1 hours filing paperwork, 1 sending e-mails and 2
hours making appointments. What equation represents Harold's earnings?

Answers

you add the fractions together

1 5/12+1 3/4+2 1/3 is 4 3/1 which simplifies to 7

multiply 7 by 10.50 and get 73.5

ANSWER= $73.50

Your answer would be $73.50

4x+1=x-5 slove for x

Answers

Answer:

x = −2

Step-by-step explanation:

4x + 1 = x − 5

Subtract 1 from both sides

4x + 1 − 1 = x − 5 − 1

Simplify

4x = x − 6

Subtract x from both sides

4x −x = x − 6 − x

Simplify

3x = −6

Divide both sides by 3

[tex]{\frac{3x}{3}[/tex]=[tex]\frac{-6}{3}[/tex]

Simplify

x = −2

please help ;(
john is j years old. the product of his younger brother’s and older sister’s ages is j^2-2j-15. how old are john’s brother and sister is terms of john’s age?

Answers

Answer:

[tex](j-5)(j+3)[/tex]

Step-by-step explanation:

[tex]j^2-2j-15=(j-5)(j+3)[/tex]

The age of John’s brother is j-5 and the age of John’s sister is j+3.

Given that, John is j years old. The product of his younger brother's and older sister's age is j²-2j-15.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The solution for j²-2j-15 is as follows

j²-2j-15

⇒ j²-5j+3j-15

⇒ j(j-5)+3(j-5)

⇒ (j-5)(j+3)

Therefore, the age of John’s brother is j-5 and the age of John’s sister is j+3.

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y varies directly as x. if x = 10 when y = 40, find x when y = 200.

Answers

Answer:

x = 50

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition

x = 10 when y = 40, then

40 = 10k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When y = 200, then

200 = 4x ( divide both sides by 4 )

50 = x

Somebody help me plssss

Answers

Answer:

The last one 4x4

Step-by-step explanation:

Answer:

last one, D.

Step-by-step explanation:

how different are polynomials from non-polynomials?​

Answers

Answer:

The polynomials can be identified by noting which expressions contain only the operations of addition, subtraction, multiplication, and non-negative integer exponents. The non-polynomial expressions will be the expressions which contain other operations. Explain why the non-polynomial expressions are not polynomials.

A preschool class has 14 girls and 10 boys. What is the ratio of boys to
the WHOLE class?

Answers

Answer:

10/24 or 5/12

Step-by-step explanation:

If you add both boys and girls you will get 24 which is the total students and the number of boys us 10 so it would be 10/24 or simplified would be 5/12.

:) Hope this helps

Simplify: 3.32 +8+2 - (4 + 3) ​

Answers

Answer:

6.32

Step-by-step explanation:

Answer: 6.32

Step-by-step explanation:

Which property is illustrated by the following statement

Answers

Answer:

Communitive

Step-by-step explanation:

It is just saying that they are congruent and they just restated in different ways. It is like 4+3=7 and 3+4=7

Hope this helps

Help me please, very important!!! (PLEASE)

Read the question carefully!

Answers

i checked and it should be all of these applied ^^
a,b,c,d

The freshman spirit club took a trip to the state fair .There were 59 students and 6 chaperones, and the total admission cost for the group was 508$.Student tickets cost 2$ more than the chaperone tickets.Write an equation to represent the cost of a student ticket

Answers

Answer:

Step-by-step explanation:

First you determine the variables x and y as:

x: the value for student tickets

y: the value for chaperone tickets.

Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:

x= y +2

On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:

59x + 6y = 508

Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:

[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]

Solving for x, the price of a student ticket:

Rearranging  the first equation,

y = x - 2

Replacing in the second equation and solving for x:

59*x + 6*(x -2)=508

59*x + 6*x -12=508

65*x -12=508

65*x= 508 +12

65*x= 520

[tex]x=\frac{520}{65}[/tex]

x=8

The cost of a student ticket is 8$

There are six roses in the vase. Alyssa cut some more roses from her flower garden. There are now 16 roses in a vase. How many roses did she cut?

Answers

Answer:

10

Step-by-step explanation:

because 6+10=16. I feel so bad for all of the flowers.

help meeeeeeeeeeeeeeee​

Answers

Answer:

A

Step-by-step explanation:

Answer: A










Explanation:

Solve the inequality below.

4(x + 3) < 6x – 2

Answers

Answer:

X > 7

Step-by-step explanation:

4(x + 3) < 6x – 2

4x + 12 < 6x -2

-6x            -6x

-2x + 12 < -2

-12           -12

-2x < -14

-----     -----

-2         -2

x > 7

The < change because it was divided by a negative number

How many 180, degrees angles does it take to make a full turn?

Answers

Answer:

2 times

Step-by-step explanation:

you do the equation 180 + 180 and get 360 or you can multiply 180 x 2 and get 360. Hope this helps you!

Sam travel 20 miles in three hours. Sam walked part of the distance at a speed of 4 mph. Sam rode his bicycle for the remaining distance at a speed of 12 mph. How many hours did Sam spend walking? How many hours did Sam spend biking?

Answers

Answer:

Sam sokey 0.5 hours biking and 3.5 hours walking

Step-by-step explanation:

Here, we want to know the number of hours spent walking and biking

Mathematically; distance = speed * time

Let the number of hours spent walking be x and the number of hours spent biking be y

Mathematically;

x + y = 3 •••(i)

distance spent walking = 4 * x = 4x miles

distance spent biking = 12 * y = 12y miles

4x + 12y = 20

divide through by 2

2x + 6y = 10 ••••••(ii)

From i , x = 4-y

Substitute this into ii

2(4-y) + 6y = 10

8 - 2y + 6y = 10

8 + 4y = 10

4y = 10-8

4y = 2

y = 2/4 = 0.5 hours

The number of hours spent walking = 4-0.5 = 3.5 hours

The graph of h is a translation 6 units down and 2 units left of the graph of f(x)=x2−7x. For each value of x, g(x) is 115% of h(x). Write a rule for g

Answers

I’m just doing this for some points to ask questions but hey

Answer:

HELPPPPPP

Step-by-step explanation:

HELPPPPPPP

Select the expression that is equivalent to 4x2 – 25.
Help

Answers

Answer:

Factor form: (2x-5)(2x+5)

If you olny simplify: 8x-25

Step-by-step explanation:

The answer is simple it goes into the negatives so 4x2 is 8 and -25 goes into the negatives so the answer would be -17

What are rational numbers

Answers

Answer:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers

Answer:

C. it cannot be a whole number

Step-by-step explanation:

Ok, I made a mistake on my last question, but this time I have the right one. Solve v, 5/v=2/7.25

Answers

Answer:

[tex]v=\frac{145}{8}[/tex]

Step-by-step explanation:

[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]

[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]

[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]

[tex]v=\frac{145}{8}[/tex]

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