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PilotLPTM [1.2K]
3 years ago
13

What is the solution to this equation? 7x-12x-5=-45+15 A. x=-5 B. x=5 C. x=7 D. x=-7

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0
7(5)-12(5)-5=-45+15

-30 = -30

answer= B. x=5
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What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 12 - x2? (4 points)
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Answer: 16 square units

Step-by-step explanation:

let the vertex in quadrant I be (x,y)  

then the vertex in quadratnt II is (-x,y)  

base of the rectangle = 2x  

height of the rectangle = y  

Area = xy  

= x(12 - x²)  

= -x³ + 12x  

d(area)/dx = 3x² - 12 = 0 for a maximum of area  

3x² = 12  

x² = 4  

x = ±2  

y = 12-4 = 8

So, the largest area = 2 x 8 = 16 square units

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A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs ` 45 per l
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4500

Step-by-step explanation:

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For what value of y must QRST be a parallelogram?<br> A: 1<br> B: 2<br> C: 3<br> D: 0.5
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Need help how do I do this, start it, and the steps please
Harman [31]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

Let's first write down the equation we are going to solve.

( 1 / 3 )h - 4 [ ( 2 / 3 )h - 3 ] = ( 2 / 3 )h - 6

To begin with, we will expand the brackets => [ ]

( 1 / 3 )h - ( 8 / 3 )h + 12 = ( 2 / 3 )h - 6

Next we will collect like terms by placing all the individual numbers on the right-side of the equation and the terms with ( h ) on the left-hand side of the equation so that we can begin making ( h ) the subject.

( 1 / 3 )h - ( 8 / 3 )h - ( 2 / 3 )h = - 6 - 12

Then we will simplify both the left-hand side and right-hand side of the equation to solve it for ( h ).

( - 9 / 3 )h = - 18

- 3h = - 18

h = - 18 / - 3

h = 18 / 3

h = 6

FINAL ANSWER:

Therefore, the answer is:

h = 6

Hope this helps! :)
Have a lovely day! <3
4 0
3 years ago
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