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spin [16.1K]
2 years ago
13

Solve. State the number of solutions.

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
5 0

Answer:

a. x=8

b.Step 1: Simplify both sides of the equation.

2(2x−2)=4x−4

(2)(2x)+(2)(−2)=4x+−4(Distribute)

4x+−4=4x+−4

4x−4=4x−4

Step 2: Subtract 4x from both sides.

4x−4−4x=4x−4−4x

−4=−4

Step 3: Add 4 to both sides.

−4+4=−4+4

0=0

Answer:

All real numbers are solutions.

c. Step 1: Simplify both sides of the equation.

3(x+1)=4x+7−x

(3)(x)+(3)(1)=4x+7+−x(Distribute)

3x+3=4x+7+−x

3x+3=(4x+−x)+(7)(Combine Like Terms)

3x+3=3x+7

3x+3=3x+7

Step 2: Subtract 3x from both sides.

3x+3−3x=3x+7−3x

3=7

Step 3: Subtract 3 from both sides.

3−3=7−3

0=4

all credit goes to mathpapa

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A brochure claims that the average maximum height for a certain type of plant is 0.7 m. A gardener suspects that this is not acc
larisa [96]

Answer:

As Z, it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.

Step-by-step explanation:

1. Relevant data:

\mu=0.70\\N=40\\\alpha=0.05\\X=0.65\\s=0.20

2. Hypotesis testing

H_{0}=\mu=0.70

H_{1} =\mu< 0.70

3. Find the rejection area

From the one tail standard normal chart, whe have Z-value for \alpha=0.05 is 1.56

Then rejection area is left 1.56 in normal curve.

4. Find the test statistic:

Z=\frac{X-\mu_{0} }{\sigma/\sqrt{n}}

Z=\frac{0.65-0.70}{0.20/\sqrt{40}}\\Z=-1.58

5. Hypotesis Testing

Z_{\alpha}=1.56\\Z=-1.58

-1.58

As Z, it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.

4 0
3 years ago
Does the image have rotational symmetry? If so, by how many degrees?
Goshia [24]

<em>☽------------❀-------------☾</em>

<em>Hi there!</em>

<em>~</em>

<em>Yes, the image has </em><u><em>rotational symmetry</em></u><em>. I think about </em><u><em>180 degrees</em></u><em> if i did this this right.</em>

<em>❀Hope this helped you!❀</em>

<em>☽------------❀-------------☾</em>

<em></em>

4 0
3 years ago
Use the number line to add or subbtract integers please help me with this
Digiron [165]

Answer:

a)=+2 b)=1

Step-by-step explanation:

A positive plus a negative is equal to a positive a

8 0
3 years ago
Kelly deposited $4,205 in an account for 3.5 years. She earned $662.29 in interest. What interest rate did the bank pay her?
mylen [45]

Answer:

r = 4.5%

Step-by-step explanation:

Formula:

I = Prt

r = I/(Pt)

Given:

I = 662.29

P = 4205

t = 3.5

Work:

r = I/(Pt)

r = 662.29/(4205 * 3.5)

r = 662.29/14717.5

r = 0.045

r = 4.5%

5 0
2 years ago
please help me and before you try to answer the height is not 8 in but the volume is 25.12 in if that helps thank you &lt;3
DochEvi [55]

Answer:

25.12 in^3.

Step-by-step explanation:

Volume of the cylinder = 3.14 * r^2 * h

= 3.14 * 2^2 * 8

The volume of the preserve

= 1/4 * 3.14 * 4 * 8

= 25.12 in^3.

3 0
3 years ago
Read 2 more answers
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