How do u check your answer for 4x+12-2x=26

Answers

Answer 1
Answer:

Answer:

7

Step-by-step explanation:

4x+12-2x=26

Or, 2x=26-12

Or, 2x=14

Or, x=7


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You have been cleaning diesel dispensers for 35 minutes. You have completed 6 of them . how many minutes has it taken you to clean 1 dispenser?

Answers

35÷6=7
so 7 minutes to clean 1 dispenser

2. Which of the following is contained in the solution for theinequality 5x < 3(x + 2) + 2 ? Justify your answer for full credit.
A.
4
C. 7
B.
2
D.
15

Answers

The answer should be D
X>- 16/3
I used the calculator

phillip sells electronics and works on a commision basis. if his commossion is 4%, and he sells $15,000 worth of electronics, what are his earnings

Answers

Answer:

Phillip's commission for sales of $15,000 is $600.

Step-by-step explanation:

Phillip sells electronics and works on a commission basis.

His commission is 4% for x dollars worth of sales.

Hence, when his sales are $15000, his commission will be :

0.04*15000=600 dollars

So, Phillip's commission for sales of $15,000 is $600.

4% of $15,000 = 600
so his total would be $15,000
im not fully positive that i'm correct because i do not understand the question but 4% = 600 hope that helps

If h(x) = 5x − 3 and j(x) = −2x, solve h[j(2)] and select the correct answer below.17
23
−17
−23

Answers

sub 2 for x in j(x) and evalueate
then sub that result for x in h(x)

j(2)=-2(2)
j(2)=-4

now sub-4 for  x in h(x)

h(-4)=5(-4)-3
h(-4)=-20-3
h(-4)=-23

answer is -23

783 rounded to the nearest hundred is

Answers

Answer:

Rounded to the nearest hundred is 790.  

Step-by-step explanation:

Given : Number 783.

To find : Number rounded to the nearest hundred ?

Solution :

Nearest hundred means,

When the digit at tens place is greater than or equal to 5 then the number round by 1 and rest became zero.

When the tens digit place is less than 5 then the number remain same and rest became zero.

Number 783.

Tens place is 8 >5 so it round by adding 1,

783\approx 790

Therefore, Rounded to the nearest hundred is 790.

783 rounded to the nearest hundred is 800

To round 783 to the nearest hundred,

Since we know that,

A mathematical process known as "round off nearest hundred" involves rounding a number to the nearest hundred. The final two digits of the number will be examined, and we will round them to the closest hundred.

Look at the digit in the tens place, which is an 8.

Because 8 is greater than or equal to 5,

Round up to the nearest hundred.

To do this, we add 1 to the digit in the hundreds place, which is 7,

and change the digits in the tens and ones places to 0.

So, 783 rounded to the nearest hundred is 800.

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A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?

Answers

Given that the range of the signal is a quadratic function: (x-h)^2 = 4a (y - k) (5-4)^2 = 4a (4 - 2) 4a =1/2 therefore, (x -4)^2 = (1/2)(y – 2) The road is a line. Slope of the road is (7 -2)/(-3 -8) =-5/11 Therefore the equation of the line: 5x + 11y = 5(8) + 11(2) 5x + 11y = 62

The system of equations can be used to determine whether the road intersects the boundary of the tower’s signal; y = 2( x - 4 )² + 2 and 5 x + 11 y = 62.

What is the vertex form of a quadratic equation?

If a quadratic equation is written in the form

y = a(x-h)^2 + k

then it is called to be in vertex form.

It is called so because when you plot this equation's graph, you will see the vertex point is on (h,k).

To determine a quadratic function in vertex form:

y = a ( x - 4 )² + 2

4 = a ( 5 - 4 )² + 2

4 = a + 2

a = 2

y = 2 ( x - 4 )² + 2

Then we will determine a linear function in standard form, that passes through the points ( -3, 7 ) and ( 8, 2 ).

7 = -3 m + b

2 = 8 m + b   / ·(-1)

7 = - 3 m + b

- 2 = - 8 m - b

5 = - 11 m

m = -5/11,              

2 = -5/11 · 8 + b,        

b= 2 + 40/11,    

b = 62/11

Substitue,

y = - 5/11 x + 62/11  /  ·11

11 y = - 5 x + 62

5 x + 11 y = 62

Finally the system of equations is:

y = 2( x - 4 )² + 2

5 x + 11 y = 62

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