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Inessa05 [86]
3 years ago
12

Solve the equation for x, where x is a real number (5 points): 2x^2 + 7x - 9 = -3

Mathematics
1 answer:
Tanya [424]3 years ago
6 0
Add 3 to both sides so that the equation becomes 2x^2 + 7x - 6 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                              x = [ -b ± √(b^2 - 4ac) ] / (2a)
                              x = [ -7 ± √(7^2 - 4(2)(-6)) ] / ( 2(2) )
                              x = [ -7 ± √(49 - (-48) ) ] / ( 4 )
                              x = [ -7 ± √(97) ] / ( 4)
                              x = [ -7 ± sqrt(97) ] / ( 4 )
                              x = -7/4 ± sqrt(97)/4
The answers are -7/4 + sqrt(97)/4 and -7/4 - sqrt(97)/4.
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Which statements are true for the function y = |x| - 2? Select all that apply.
kakasveta [241]
Two last answers are correct
6 0
3 years ago
Read 2 more answers
the small intestine is about 23 feet long while the large intestine is only 5 feet long what is the ratio of the large intestine
ioda

Answer:

it's answer is 4:1

Because length of small intestine is 6 m and length of large intestine is 1•5m

So 6/1•5 =4:1

5 0
3 years ago
a red car is traveling 15 miles per hour faster than a blue car. if the red car travels 180 miles in the time needed for the blu
vlabodo [156]
Their distance differs by 15 miles for each hour of travel time. Thus, the travel time of interest is
.. (180 -144) miles/(15 miles/hour) = 2.4 hour

The red car's speed is 180 mi/(2.4 h) = 75 mi/h.
The blue car's speed is 144 mi/(2.4 h) = 60 mi/h.
5 0
3 years ago
Write an integer that represents 14,000 feet below sea level
masha68 [24]
- 14,000 feet hopefully....
4 0
3 years ago
Please help me out............................
Alina [70]

Answer:

<h2>b = 15°</h2>

Step-by-step explanation:

If Pq = RQ then ΔPQR is the isosceles triangle. The angles QPR and PRQ have the same measures.

We know: The sum of the measures of the angeles in the triangle is equal 180°. Therefore we have the equation:

m∠QPR + m∠PRQ + m∠RQP = 180°

We have

m∠QPR = m∠PRQ and m∠RQP = 60°

Therefore

2(m∠QPR) + 60° = 180°       <em>subtract 60° from both sides</em>

2(m∠QPR) = 120°           <em>divide both sides by 2</em>

m∠QPR = 60° and m∠PRQ = 60°

Therefore ΔPRQ is equaliteral.

ΔPSR is isosceles. Therefore ∠SPR and ∠PRS are congruent. Therefore

m∠SPR = m∠PRS

In ΔAPS we have:

m∠SPR + m∠PRS + m∠RSP = 180°

2(m∠SPR) + 90° = 180°            <em>subtract 90° from both sides</em>

2(m∠SPR) = 90°             <em>divide both sides by 2</em>

m∠SPR = 45° and m∠PRS = 45°

m∠PRQ = m∠PRS + b

Susbtitute:

60° = 45° + b           <em>subtract 45° from both sides</em>

15° = b

3 0
3 years ago
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