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3 years ago

Solve the inequality. Graph the solution.2(5 – 3x) < x-4(3 - x)

Mathematics

1 answer:

VashaNatasha [74]3 years ago

3 0

Answer:

x>2

Step-by-step explanation:

The first thing you need to do is distribute.

2 time 5 and 2 time -3x; -4 times 3 and -4 times -x.

After that you would get 10-6x < x-12+4x.

Now combine like terms. The only like terms are on the right side: x and 4x.

Now it's 10-6x < 5x-12.

Now put x on one side. I prefer to work with a positive x so I would move it to the right.

Now it's 10 < 11x-12.

Isolate the x. Move the -12 first

Now it's 22<11x.

Divide by 11 next.

Now it's 11<x.

Switch it around so it's easier to interpret for the graph.

Final written inequality is x>11.

Graph the line x= 11 but with a dotted line because it is not equal to 11.

Color in everything to the right of the line because everything greater than x is to the right.

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These two trapezoids are similar What is the correct way to complete the similarity statement?

pentagon [3]

Option A:

$\mathrm{ABCD} \sim \mathrm{GFHE}$

Solution:

ABCD and EGFH are two trapezoids.

To determine the correct way to tell the two trapezoids are similar.

Option A: $\mathrm{ABCD} \sim \mathrm{GFHE}$

AB = GF (side)

BC = FH (side)

CD = HE (side)

DA = EG (side)

So, $\mathrm{ABCD} \sim \mathrm{GFHE}$ is the correct way to complete the statement.

Option B: $\mathrm{ABCD} \sim \mathrm{EGFH}$

In the given image length of AB ≠ EG.

So, $\mathrm{ABCD} \sim \mathrm{EGFH}$ is the not the correct way to complete the statement.

Option C: $\mathrm{ABCD} \sim \mathrm{FHEG}$

In the given image length of AB ≠ FH.

So, $\mathrm{ABCD} \sim \mathrm{FHEG}$ is the not the correct way to complete the statement.

Option D: $\mathrm{ABCD} \sim \mathrm{HEGF}$

In the given image length of AB ≠ HE.

So, $\mathrm{ABCD} \sim \mathrm{HEGF}$ is the not the correct way to complete the statement.

Hence, $\mathrm{ABCD} \sim \mathrm{GFHE}$ is the correct way to complete the statement.

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2 years ago

Number lines for 43.586 to the nearest tenths, hundredths , ones

kvasek [131]

Tenths 43.5
hundredths 43.60
ones 44

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2 years ago

Write the equation x² + 6x + y² – 8y = 19 in standard form.

kirza4 [7]

Answer:

Formula used :

x²+2xy+y² = (x+y)²
x²-2xy+y² = (x-y)²

$→{x}^{2} + 6x + {y}^{2} - 8y = 19 \\ ({x}^{2} + 2.3.x + {3}^{2} ) +({y}^{2} - 2.4.y + {4}^{2} ) = 19 + {3}^{2} + {4}^{2} \\ {(x + 3)}^{2} + {(y - 4)}^{2} = 19 + 9 + 16 \\ \boxed{ {(x + 3)}^{2} + {(y - 4)}^{2} = 44}✓$

3) (x+3)²+(y-4)²=44 is the right answer.

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2 years ago

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Each carton of eggs cost $3 make a table and an equation

dolphi86 [110]

Answer:

y = 3x

Step-by-step explanation:

x is number of cartons of eggs

y is cost

cost increases by 3 for every carton of eggs, so slope is 3

x and y intercepts are zero because there is no cost when there are no eggs

equation: y = 3x

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3 years ago

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7. Explain the difference between whole numbers and counting numbers. (2 marks) Your answer

Burka [1]

Counting numbers is like the numbers 1,2,3,4,5 and so on they were numbers you were probably taught to count to like to count through 1-10 or whatever. Counting numbers mean to count since they do have the word counting in them.

Whole number just means a number with no fraction or intger also 1 - infinity

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3 years ago

Solve the inequality. Graph the solution.2(5 – 3x) < x-4(3 - x)​

Solve the inequality. Graph the solution.2(5 – 3x) < x-4(3 - x)