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irina [24]
3 years ago
6

What is the x-intercept for y=7/4x+1/4

Mathematics
1 answer:
Brums [2.3K]3 years ago
4 0

9514 1404 393

Answer:

  -1/7

Step-by-step explanation:

To find the x-intercept, set y=0 and solve for x.

  0 = 7/4x +1/4

Multiply by 4/7

  0 = x + 1/7

Subtract 1/7

  -1/7 = x

The x-intercept is -1/7.

_____

In decimal, that is -0.142857... (6-digit repeating decimal)

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In a $3,400 annual salary increase. How much<br> extra will you bring home on each paycheck?
Taya2010 [7]

Answer:

3400

Step-by-step explanation:

you didnt give another number to divide or mutiply subtract annd or even add

4 0
3 years ago
the specification for a plastic handle calls for a length of 6.0 inches +- .2 inches. The standard deviation of the process is e
erastova [34]

Answer:

a)

USL = 6.2 inches

LSL = 5.8 inches

b) Cp = 1.33

Cpk = 0.67

c)

Yes it meets all specifications

Step-by-step explanation:

The specification for a plastic handle calls for a length of 6.0 inches ± .2 inches. The standard deviation of the process is estimated to be 0.05 inches. What are the upper and lower specification limits for this product? The process is known to operate at a mean thickness of 6.1 inches. What is the Cp and Cpk for this process?   Is this process capable of producing the desired part?

Given that:

Mean (μ) = 6.1 inches, Standard deviation (σ) = 0.05 inches and the length of the plastic handle is 6.0 inches ± .2

a) Since the length of the plastic handle is 6.0 inches ± .2  = (6 - 0.2, 6 + 0.2)

The Upper specification limits (USL) = 6 inches + 0.2 inches = 6.2 inches

The lower specification limits (LSL) = 6 inches - 0.2 inches = 5.8 inches

b) The Cp is given by the formula:

Cp=\frac{(USL-LSL)}{6\sigma} =\frac{(6.2-5.8)}{6*0.05} =1.33

The Cpk is given by the formula:

c)

The upper specification limit lies about 3 standard deviations from the centerline, and the lower specification limit is further away, so practically all units will meet specifications

Cpk=min(\frac{USL-\mu}{3\sigma},\frac{\mu -LSL}{3\sigma})=min(\frac{6.2-6.1}{3*0.05},\frac{6.1-5.8}{3*0.05})=min(0.67,2)=0.67

7 0
3 years ago
List the nurnbers in order from least to greatest. 1 -1,8,-18,-5,2,1 The numbers in order from least to greatest are​
Yanka [14]
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3 0
3 years ago
. A sea turtle made 460 dives in 12 hours. At this rate, how many dives did the sea turtle make in 3 hours?
insens350 [35]

Answer:

"3 hours* (460 dives/ 12 hours)= 115 dives."

"The sea turtle made 115 dives in 3 hours"

Step-by-step explanation:

"The sea turtle made 115 dives in 3 hours

Hope this helps :)

3 0
3 years ago
Factor completely<br> n^4 +8n^2 + 15 =
nata0808 [166]

Answer:

The factor form is n^4+8n^2+15 = \quad \left(n^2+3\right)\left(n^2+5\right)

Step-by-step explanation:

When it is required to factor the expression given in the problem, we have to first find a common term or terms, which will be found by either grouping the like terms or the splitting of the terms.

Now the expression that is given here is:

n^4 +8n^2 + 15

Now, here we will take:

u=n^2

Thus we will get:

n^4 +8n^2 + 15\\=u^2+8u+15

Now we will do the middle term split as follows:

u^2+8u+15\\=\left(u^2+3u\right)+\left(5u+15\right)\\=u\left(u+3\right)+5\left(u+3\right)\\=\left(u+3\right)\left(u+5\right)

Substituting back u=n^2 , we will have:

\left(u+3\right)\left(u+5\right)\\=\left(n^2+3\right)\left(n^2+5\right)

Hence, the required factor form of the given expression will be:

n^4+8n^2+15 = \quad \left(n^2+3\right)\left(n^2+5\right)

3 0
4 years ago
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