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Vedmedyk [2.9K]
1 year ago
14

What are the solutions of the system of equations y = –(x + 2)2 + 1 and y = 2x + 5?

Mathematics
1 answer:
Scilla [17]1 year ago
8 0

Answer:

(–4, 5) and (–2, 1)

Step-by-step explanation:

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The square abcd has side length 10cm. E is the midpoint of BC. Work out the length of DE. Answer to 1 decimal place.
Levart [38]

-- DEC is a right triangle.

-- DC is one side of the square  =  10 cm
-- EC is half the side of the square = 5 cm
-- DE is the hypotenuse = square root of (5² + 10²)  =  √(125 cm²) .

<em>-- Truncated</em> to one decimal place, that's  11.1 cm. 

<em>-- Rounded</em> to one decimal place, it's 11.2 cm.


4 0
2 years ago
Read 2 more answers
A 95% confidence is given by (15,20) . The interval is based on a sample of size n=25 .
love history [14]

Answer:

b. quadruple the sample size.

Step-by-step explanation:

Given that a 95% confidence is given by (15,20) .

this implies that mean = average of lower and higher bounds of confidence interval = \frac{15+20}{2} =17.5

Margin of error = Upper bound - Mean = 20-17.5 = 2.5

Confidence level = 95%

Critical value = 1.96

Std  error = \frac{2.5}{1.96} =1.27551

Std devition = Std error * sqrt n = 6.3775

If we want to reduce margin of error by half we must get margin of error as 1.25

For that std error for same critical value = 0.63775

Std deviation did not change

So sample size only changed which implies that sample size is 4 times the original

b. quadruple the sample size.

5 0
3 years ago
Theres 2 here, pleaseeee help
True [87]
With the first one, you just plug the numbers inside the parentheses into f(x). Therefore:
f(-2)=40
f(-1)=18
f(0)=8
f(1)=10
f(2)=24

For the second one, you look at the table and find where x=1. The number there is 24, so therefore, f(1)=24
4 0
3 years ago
The graphs of two rational functions of f and g are shown. One of them is given by the expression 2-3x/x. Which graph is it? Tha
Nesterboy [21]

Answer:

It's the left graph, y = f(x)

Step-by-step explanation:

If you find the x-intercepts, you'd solve (2-3x)/x = 0. This means you'd really solve 2-3x=0, which gives you x=3/2.

So the graph must have an x-intercept at (1.5, 0). Only f(x) has that.

8 0
3 years ago
Can someone please help me with this question!!!
Elena-2011 [213]

Answer:

32

Step-by-step explanation:

x+102=4x+6

102=3x+6

96=3x

32=x

Hope this helps!!!

5 0
2 years ago
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