What is the answer to 8(3.5x−2)≥40

Mathematics

2 answers:

sammy [17]3 years ago

8 0

Answer:

x ≥ 2

Step-by-step explanation:

Distribute 8:

8 (3.5x - 2) ≥ 40

28x - 16 ≥ 40

Add 16:

28x ≥ 40 + 16

28x ≥ 56

Divide by 28:

x ≥ 56 ÷ 28

x ≥ 2

fomenos3 years ago

8 0

Answer:

x ≥ 28

Step-by-step explanation:

1. 8(3.5x-2) ≥ 40

2. 28x - 16 ≥ 40

+ 16 + 16

28x ≥ 56

3. x ≥ 28

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Which of the following equations is of a parabola with a vertex at (3, 0)?

bixtya [17]

Answer:

D. y = (x - 3)²

Step-by-step explanation:

The parabola formula in vertex form is:

y = a(x - h)² + k

where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:

y = a(x - 3)² + 0

y = a(x - 3)²

In all possible options the leading coefficient a is equal to one. Therefore:

y = (x - 3)²

7 0

3 years ago

it takes someone 15 minutes to prepare 3 1/4 cups of juice how many hours would it take to prepare 32 1/2 cups of juice

wariber [46]

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$\bf \cfrac{15}{x}=\cfrac{~~\begin{matrix} 13 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\underset{2}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\underset{5}{~~\begin{matrix} 65 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{15}{x}=\cfrac{1}{10}\implies 150=x\leftarrow \begin{array}{llll} \textit{150 minutes or}\\\\ \textit{2 hours and a half} \end{array}$