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3 years ago

Which graph show the solution to the following inequality

Mathematics

2 answers:

vivado [14]3 years ago

6 0

Answer: The second graph, counting from the top.

Step-by-step explanation:

We have inequality:

-2r + 3 ≥ 19

We can isolate r in this inequality, and get:

-2r ≥ 19 - 3 = 16

-r ≥ 16/2 = 8

Now we change the sign, this also changes the direction of the greater or equal than a sign:

r ≤ -8

So we will have that our graph must start at r = -8, and include all the numbers that are smaller than -8. (including the 8)

This graph is the second one.

Leto [7]3 years ago

4 0

-2r+3≥19
-2r≥16
r≤-8
second one

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I need to write the number that matches the clues

myrzilka [38]

The answer to this question is 290

The number has 2 hundreds so 200

The tens place is 9 more than the ones place so its 9

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4 years ago

9. The length of a rectangle is 3 cm longer than twice the width. If the area of the rectangle is 65 cm2,

makvit [3.9K]

Answer:

length: 13 cm

width: 5 cm

Step-by-step explanation:

You may be aware that 65 = 5×13. We note that 13 is 3 more than twice 5, so these are the dimensions of the rectangle:

5 cm wide; 13 cm long

If you want so solve this algebraically, you can let w represent the width. Then the length is 2w+3 and the area is ...

A = LW

65 = (2w+3)(w)

In standard form, this equation is ...

2w^2 +3w -65 = 0

To factor this, you look for factors of 2×(-65) = -130 that have a sum of 3. Those would be ...

-130 = (-10)(13)

Then the factored equation is ...

2w^2 +13w -10w -65 = 0

w(2w+13) -5(2w+13) = 0

(w -5)(2w +13) = 0 ⇒ w = 5, -13/2

The positive solution makes sense in this problem, so ...

width = 5 cm

length = 2(5) +3 = 13 cm

5 0

3 years ago

What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x – 1)?

ycow [4]

Answer:

$x=0$

Step-by-step explanation:

we have

$6(x+1)-5x=8+2(x-1)$

solve for x

$6x+6-5x=8+2x-2$

Group terms that contain the same variable and move the constants to the other side

$6x-5x-2x=8-2-6$

$-x=8-8$

$x=0$

5 0

4 years ago

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madam [21]

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7 0

3 years ago

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Using the ratio of perfect squares method, what is square root of 59 rounded to the nearest hundredth?

olga55 [171]

$\frac{59}{100} =0.59 \\ \sqrt{ \frac{59}{100} } = \sqrt{0.59} \\
 \frac{ \sqrt{59} }{10} = \sqrt{0.59} \\ \sqrt{59} =10 \times 
\sqrt{0.59}$
Now
$0.59= \frac{100}{169} \\ \sqrt{0.59} = \sqrt{ \frac{100}{169} } = \frac{10}{13} =0.769$
Therefore,
$\sqrt{59} =10 \times 0.769=7.69$

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3 years ago