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valentina_108 [34]
3 years ago
5

Solve the quadratic equation for x.What is one of the roots?

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
8 0

Answer:

-13

Step-by-step explanation:

  • plug in each number for x, then follow orders of operations

(-13+6)^2

  • -7^2=49

(-6+6)^2

  • 0^2=0

(-7+6)^2

  • -1^2=1

(-1+6)^2

  • 5^2=25

zubka84 [21]3 years ago
7 0

-13 because 6 x 2 = 12 plus x = -13 x represents 1 btw
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What is the average rate of change of f over the interval [3,4]?
masya89 [10]

Answer:

4

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 3, 4 ] , then

f(b) = f(4) = - 1 ← from table

f(a) = f(3) = - 5 ← from table , then

average rate of change = \frac{-1-(-5)}{4-3} = \frac{-1+5}{1} = 4

3 0
3 years ago
Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 81(x2 − y2)
slamgirl [31]
<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>

Step 2: Substitute:<span> 
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.

Add [2] and [3]:<span> 
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span> 
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>

</span>
</span>
3 0
3 years ago
Read 2 more answers
A town's population has been growing linearly. In 2003, the population was 59.000 and the population has been growing by 1,700 p
Rudiy27

Answer:

In 2003, the population was 59000 and the population has been growing by 1,700 people each year.

A.

The equation will be:

59000+1700x = (population 'x' years after 2003)

For x, you plug in the amount of years after 2003.

Like if it is the year 2003, the population is 59000+1700(0)

= 59000

when it is year 2005, the population is 59000+1700(2)

= 62400

B.

The town's population in 2007 will be :

(2007-2003=4)

59000+1700(4)

Population = 65800

C.

59000+1700x=77700

=> 1700x=18700

x = 11

Means 2003+11=2014

Hence, by year 2014 the population will be 77700.

5 0
3 years ago
There are 15 m and ms that are peanut or small, 2 m and ms that are peanut and small, and 9 m and ms that are small. How many m
GarryVolchara [31]

Answer:

4m and ms are peanut

Step-by-step explanation:

9+2=11 and theres 15 total so 15-11= 4

3 0
3 years ago
Dr.hong prescribed 0.019 liter more medicine than dr tannenbaum.dr Evans prescribed 0.02 less than Dr hong who prescribed the mo
dem82 [27]
Dr.hong prescribed the lest and Dr.evans prescribed the most. that is the answer but this is how i got the answer ok so you see that hong gave 0.019 that is not at all the same as 0.02 so you would add a zero to Evans so it would be 0.020 so it is the same length of hongs so now do you know how i got that if not then message me
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8 0
3 years ago
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