Answer:
7
Step-by-step explanation:
4x+12-2x=26
Or, 2x=26-12
Or, 2x=14
Or, x=7
A.
4
C. 7
B.
2
D.
15
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 :
dollars
So, Phillip's commission for sales of $15,000 is $600.
23
−17
−23
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,
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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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.
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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