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DerKrebs [107]
3 years ago
12

ILL MARK BRAINILEST IF YOU ANSWER!!!

Mathematics
1 answer:
ella [17]3 years ago
8 0

Answer:

h_{max}=5.5

Step-by-step explanation:

Given

h = -0.1(d + 1)(d - 12)

Solving (a): The graph

To do this, we plot h on the vertical axis and d on the horizontal

<em>See attachment for graph</em>

Solving (b): The maximum of h

From the attached graph, h has the maximum value when:

d = 4.225

So, the maximum of h is:

h_{max}=5.5

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What is the solution to y-7&gt;3+2y
Alex17521 [72]

Solving:

-7 + y = 3 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.

-7 + y + -2y = 3 + 2y + -2y

Combine like terms: y + -2y = -1y

-7 + -1y = 3 + 2y + -2y

Combine like terms: 2y + -2y = 0

-7 + -1y = 3 + 0

-7 + -1y = 3

Add '7' to each side of the equation.

-7 + 7 + -1y = 3 + 7

Combine like terms: -7 + 7 = 0

0 + -1y = 3 + 7

-1y = 3 + 7

Combine like terms: 3 + 7 = 10

-1y = 10

Divide each side by '-1'.

y = -10

Hope it helps. (:

6 0
3 years ago
X + (2x + 40) + (3x – 50) = 15,002
Charra [1.4K]

Answer:

2497.22...

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Use properties of equality to simplify each of the following expressions so that you can simplify them in your head. Identify th
Salsk061 [2.6K]
Properties of equality have nothing to do with it. The associative and commutative properties of multiplication are used (along with the distributive property and the fact of arithmetic: 9 = 10 - 1).

All of these problems make use of the strategy, "look at what you have before you start work."


1. = (4·5)·(-3) = 20·(-3) = -60 . . . . if you know factors of 60, you can do this any way you like. It is convenient to ignore the sign until the final result.

2. = (2.25·4)·23 = 9·23 = 23·10 -23 = 230 -23 = 207 . . . . multiplication by 4 can clear the fraction in 2 1/4, so we choose to do that first. Multiplication by 9 can be done with a subtraction that is often easier than using ×9 facts.

4. = (2·5)·12·(-1) = 10·12·(-1) = (-1)·120 = -120 . . . . multiplying by 10 is about the easiest, so it is convenient to identify the factors of 10 and use them first. Again, it is convenient to ignore the sign until the end.

5. = 0 . . . . when a factor is zero, the product is zero
4 0
3 years ago
Find the equation of the line that is parallel to the given line and passes through the given point. y=0,5x-2;(-2,1)
Mashcka [7]

Answer:

y = 0.5x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 0.5x - 2 ← is in slope- intercept form

with slope m = 0.5

Parallel lines have equal slopes, thus

y = 0.5x + c ← is the partial equation

To find c substitute (- 2, 1) into the partial equation

- 1 = - 1 + c ⇒ - 1 + 1 = 0

y = 0.5x + 0 , that is

y = 0.5x ← equation of parallel line

3 0
3 years ago
From the set (76, 77, 78), use substitution to determine which value of x makes the equation true
jeyben [28]

Answer:

The answer is C.

Step-by-step explanation:

Multiply 4 by 76, 77, and 78.

4 * 76 = 304

4 * 77 = 308

4 * 78 = 312

304 = 304, so C is the correct answer.

Hope this helps!

7 0
3 years ago
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