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Pie
3 years ago
5

A point at (−8, −9) is rotated 270° counterclockwise about the origin. What are the coordinates of the resulting image? (−9, 8)

(8, 9) (−9, −8) (9, −8)
Mathematics
1 answer:
maks197457 [2]3 years ago
4 0
I'm pretty sure it's (8,9)
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How do I solve this graph
Sunny_sXe [5.5K]
Plug in two values for x, say, 0 and 1.  



Lets start with solving the equation when x=0.  

y=2(0)-3
y=0-3
y=-3.

So, when x=0, y=-3.  Graph (0, -3)

Next, x=1

y=2(1)-3
y=2-3
y=-1

So, when x=1, y=-1.  Graph (1,-1)

Draw a line between the two points, and that should be your answer!  Hope this helped :)

8 0
3 years ago
Read 2 more answers
News article reports that "Americans have differing views on two potentially inconvenient and invasive practices that airports c
OverLord2011 [107]

Answer:

1) p1=0.83

2) p2=0.81

3) Option B

4) p=0.82

5) s=0.03

6) z=0.67

7) P=0.50

8) Do not reject H0

Step-by-step explanation:

1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

p=X/n=258/311=0.83

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

p=X/n=294/363=0.81

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

H_0:p_1-p_2=0\\\\H_a:p_1-p_2\neq0

4) The pooled estimate of a proportion is the average of both proportions:

\bar{p}=\frac{p_1+p_2}{2}= \frac{0.83+0.81}{2}=0.82

5) The standard error can be calculated as:

s=\sqrt{\frac{\bar{p}(1-\bar{p})}{n_1} +\frac{\bar{p}(1-\bar{p})}{n_2}} \\\\s=\sqrt{\frac{0.82*0.18}{311} +\frac{0.82*0.18}{363}} \\\\s=\sqrt{0.00047+0.00041} =\sqrt{0.00088}=0.03

6) The z-statistic can be calculated as:

z=\frac{p_1-p_2}{s}=\frac{0.83-0.81}{0.03}=\frac{0.02}{0.03}=0.67

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

2P(Z>|z|)=0.50286

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.

There is not enough evidence to say that both proportions are different.

A. Do not reject H0

8 0
3 years ago
Suppose that $1200 is invested at 612%, compounded quarterly. How much is in the account at the end of 5 years?
asambeis [7]

Answer:

\$1,656.50  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=5\ years\\ P=\$1,200\\ r=6\frac{1}{2}\%=6.5\%=6.5/100=0.065\\n=4  

substitute in the formula above

A=1,200(1+\frac{0.065}{4})^{4*5}  

A=1,200(1.01625)^{20}  

A=\$1,656.50  

5 0
3 years ago
Help me please I really need!!! :)
WITCHER [35]

Answer:

\huge\boxed{\sf x = 1.8}

Step-by-step explanation:

\sf 2x-1.5 = 2.1\\\\Add \ 1.5 \ to \ both \ sides\\\\2x = 2.1 + 1.5\\\\2x = 3.6\\\\Divide \ 2 \ to \ both \ sides\\\\x = 3.6 / 2\\\\x = 1.8\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
5 0
3 years ago
How to tell if an inverse is a function without graphing?
Y_Kistochka [10]
A function's inverse will itself be a function if the original function is one-to-one.  Meaning it passes the horizontal line test.
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3 years ago
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