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Hatshy [7]
2 years ago
8

Solve the inequality x² + 2x + 1 < 0.

Mathematics
1 answer:
DaniilM [7]2 years ago
3 0

Hello

x² + 2x + 1 < 0 ⇔ (x + 1)² < 0

S = {∅} because a² ≥ 0

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What are the units for the variable in the following scenario?
krek1111 [17]

Answer:

Her grocery bill was <u>$4.62</u>.

Step-by-step explanation:

There is some mistake in question so the correct question is:

Sherry bought 6 apples at 43¢ per apple. She then bought 4 oranges at 51¢ per orange. How much was her grocery bill?

Now, to find the grocery bill.

As the units are given:

<em>43¢ per apple and </em>

<em>51¢ per orange.</em>

$1 = 100¢.

So, the cost of 6 apples = 0.43\times 6=2.58

Thus, the cost of 6 apples = $2.58

And the cost of 4 oranges = 0.51\times 4=2.04

Thus the cost of 4 oranges = $2.04

Now, to get the total grocery bill we add the cost of apples and oranges:

\$2.58+\$2.04

=\$4.62

Therefore, her grocery bill was $4.62.

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3 years ago
Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth.
AnnZ [28]

Answer:

MK\approx 87.7

Step-by-step explanation:

By definition, similar polygons have corresponding sides in a constant proportion. Therefore, we can set up the following proportion (ratio of corresponding sides) to solve for MK:

\frac{20}{13}=\frac{MK}{57},\\MK=\frac{57\cdot 20}{13}\approx \boxed{87.7}

3 0
3 years ago
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Consider the graph of the linear function h(x) = –x + 5. Which could you change to move the graph down 3 units?
Yakvenalex [24]
I don't see a b or an m in this function, but generally, a linear function is of the form ax+b. The b in this equation (not sure if it is the same as your b), controls the shift of the function. Lower b by 3, the graph shifts down by 3.

So unless there is a minus sign before b, it has to be lowered by 3. (If there is a minus sign, it has to be increased by 3).
6 0
3 years ago
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Andrew [12]

Answer:

C.) 14

Step-by-step explanation:

Look at the triangle: angles b and c have the same arch, so they are congruent.

In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.

The sides opposite the congruent angles are congruent:

∠B → opposite side → AC

∠C → opposite side → AB

The sides AB and AC are equal. Make an equation:

AB=AC\\\\2x=3x-7

Simplify the equation, solving for x. Add 7 to both sides:

2x+7=3x-7+7\\\\2x+7=3x

Subtract 2x from both sides:

2x-2x+7=3x-2x\\\\7=x

The value of x is 7. Insert the value of x into the given length of AC:

AC=3(7)-7

Simplify multiplication:

AC=21-7

Subtract:

AC=14

Therefore, the length of the line segment AC is 14.

:Done

8 0
3 years ago
11 students went on a trip to New York City. 3 of them visited the Statue of Liberty. What fraction of the students visited the
Ne4ueva [31]

so since only 3 out of 11 went to visit then it is simple

since just 3 went and there were 11

3/11 of the students went


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4 years ago
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