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kramer
2 years ago
11

Write 18z − 7 (−3 + 2z) in simplest form. Select True or False for each statement.

Mathematics
1 answer:
vfiekz [6]2 years ago
8 0

Answer:

Simplest form = 4<em>z </em>+ 21

Case 1: True, Case II: false and Case III: true

Step-by-step explanation:

18<em>z </em>- 7( -3 + 2z)

= 18<em>z</em> + 21 - 14z

= 18<em>z</em> -14z + 21

= 4<em>z </em>+ 21

So, in the above expression we have two terms. First term is 4z and second term is 21.

So the first case is true. As the expression has two terms.

The coefficient of <em>z </em>is a number which is multiplied by <em>z</em>. Therefore, Second case is false as the coefficient of <em>z</em> is 4.

The constant is a number which is not multiplied by any variable. Therefore, third case is true as the constant number in above expression is 21.

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vesna_86 [32]

Answer:

i really dont know maybe 6

Step-by-step explanation:

5 0
3 years ago
Passes through (4,-5), slope = 3/4
Alchen [17]
Equation = y = mx + b
y = 3/4x + b

Calculation for b.,
-5 = 3/4 * 4 + b
b = -5/3

So, your final answer is y = 3/4x - 5/3

Hope this helps!
3 0
3 years ago
Question 1
12345 [234]

Answer:

A). Surface area = 222 cm²

Volume = 180 cm³

B). Surface area = 375 cm²

Volume = 360 cm³

C). % increase in surface area = 67.57%

% increase in volume = 100%

Step-by-step explanation:

In the figure attached base of a prism has been given.

A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)

Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8

                                       = 30

Area of the base = 8×5 - 2×2 = 36 cm²

Surface area of the prism = 30×5 + 2×(36)= 222 cm²

Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off

                                  = 8×5×5 - 2×2×5

                                  = 200 - 20

                                  = 180 cm³

B). Surface area of the prism if it's height is 10 cm,

Surface area = 30×10 + 2×(36) = 372 cm²

Volume of the prism = 8×5×10 - 2×2×10

                                   = 400 - 40

                                   = 360 cm³                                      

C). Increase in surface area = 372 - 222 = 150 cm²

% increase in the surface area = \frac{150}{222}\times 100 = 67.57%

Increase in volume = 360 - 180 = 180 cm³

% increase in volume = \frac{180}{180}\times 100 = 100%

4 0
2 years ago
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Roman55 [17]

Answer:

\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution \hookrightarrow \: x > 5 }}}}}}}}

Step-by-step explanation:

\tt{x + 4 > 9}\\\\\sf{Bring \: 4 \: to \: the \: right \: side \: of \: the \: equation}.\\\\\tt{x>9-4} \\\\\sf{Subtract \: 4 \: from \: 9 \: to \: get \: 5}\\\\\boxed{\sf{x > 5}} \dashrightarrow \mathfrak{Answer}

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\sf{Hope \: it \: helps}\\\mathfrak{Lucazz}

4 0
2 years ago
Read 2 more answers
Can you please help me with this question
Bingel [31]

the answer is 27.54

7 0
3 years ago
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