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KatRina [158]
3 years ago
7

What are the slope and the y- intercept of the linear function

Mathematics
1 answer:
3241004551 [841]3 years ago
5 0

the slope is 9 and the y-intercept is - 2

the equation of a line in ' slope-intercept form ' is

y = mx + c ( m is the slope and c the y-intercept )

y = 9x - 2 is in this form

with slope m = 9 and y-intercept c = - 2



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Please help!! MathsWatch, Surd Expressions, Clip 207c
dexar [7]

Answer:

A=(72+36\sqrt{3})\ mm^2

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

b=AB+BC+CD+DE ----> by segment addition postulate

substitute

b=3+3+3+3=12\ mm

step 2

Find the height of rectangle

a=FB+CG+GH ---> by segment addition postulate

substitute the given values

a=3+CG+3\\a=6+CG

Find the length sides CG

Applying the Pythagorean Theorem

BG^2=BC^2+CG^2

substitute the given values

6^2=3^2+CG^2

CG^2=6^2-3^2

CG=\sqrt{27}\ mm

simplify

CG=3\sqrt{3}\ mm

therefore

a=(6+3\sqrt{3})\ mm

step 3

Find the area of rectangle

A=ab

we have

a=(6+3\sqrt{3})\ mm

b=12\ mm

substitute

A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2

8 0
3 years ago
****ASAP*****<br> can someone pls help me with this? and can you describe it please?
Studentka2010 [4]

Add 165 to 245. That is a total of 410kWh.

245kWh is more than 50% of 410kWh.

So, according to the plan, you will pay NightTimer rate for kWh at night and DayTimer rate during the day.

The work done:

(165*0.05281)+(245*0.05456)\\8.71365+13.3674=22.08085

The raw, accurate, answer is that the value to pay is $22.08085.

In real terms, it is closer to your $22.08 option. That is the one I'd take.

5 0
3 years ago
The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If th
zlopas [31]

Answer:

P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)  

And we can find this probability with the complement rule:  

P(Z>-1)=1-P(Z  

Step-by-step explanation:

Previous concepts  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem  

Let X the random variable that represent the average homicide rate for the cities of a population, and for this case we know the distribution for X is given by:  

X \sim N(10,2)  

Where \mu=10 and \sigma=2  

We are interested on this probability  

P(X>8)  

And the best way to solve this problem is using the normal standard distribution and the z score given by:  

z=\frac{x-\mu}{\sigma}  

If we apply this formula to our probability we got this:  

P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)  

And we can find this probability with the complement rule:  

P(Z>-1)=1-P(Z  

5 0
3 years ago
7.959 to one decimal place .
o-na [289]

Answer:

8.0

Step-by-step explanation:

Since we are trying to find the nearest tenth decimal place, we look at the hundredths place to figure it out. Since it is ≥5, we round up.

8 0
3 years ago
Read 2 more answers
Find the difference using suitable identity (10.3 × 9.7) – (10.7 × 9.3)
finlep [7]

Answer:

\small\textrm\red{-------------------------------------------------------------------}\small\textrm\blue{-------------------------------------------------------------------}\small\textrm\green{-------------------------------------------------------------------}\small\textrm\blue{-------------------------------------------------------------------}mag sayaw ka nalang

\small\textrm\green{-------------------------------------------------------------------}\small\textrm\blue{-------------------------------------------------------------------}\small\textrm\blue{-------------------------------------------------------------------}\small\textrm\red{-------------------------------------------------------------------}

5 0
3 years ago
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