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Semenov [28]
3 years ago
7

What is the greatest common factor for 2x2 , 8x5 , 4x7

Mathematics
1 answer:
Nataly_w [17]3 years ago
5 0

Answer:

Step-by-step explanation:

2x² divide all the three terms so G.C.F.=2x²

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Answer the questions below about the quadratic function.
Korolek [52]

Given the function f(x)=3x^2-18x+23. The above function can be written as

f(x)=3x^2-18x+23\\ f(x)=3(x^2-6x)+23\\ f(x)=3(x^2-6x+9-9)+23\\ f(x)=3(x-3)^2-27+23\\ f(x)=3(x-3)^2-4

a)Now, the function f(x)=3(x-3)^2-4 has minimum value since the coefficient of (x-3)^2 is 3>0.

b) The minimum value of the function occurs at x=3 and its value is

f(3)=3(3-3)^2-4 =-4

c)The minimum value of the function occurs at x=3.

6 0
3 years ago
What is the first term of the geometric sequence whose fifth term is 1/24 and tenth term is 1/768
Neporo4naja [7]
An=a1r^(n-1)

given
a5=1/24
a10=1/768

we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)

so
1/24=a1r^4
1/768=a1r^9

(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32

r^5=1/32
take 5th root of both sides
r=1/2

we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3

the first term is 2/3



7 0
3 years ago
3. A kite is aloft at the end of a 1500 foot string. The string make an angle of 43° with the
sineoko [7]

Answer:

h= 1500\,*\,sin(43^o)

Step-by-step explanation:

Notice that there is a right angle triangle formed with sides as follows:

hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:

sin(43^o) = \frac{opposite}{hypotenuse} \\sin(43^o) = \frac{opposite}{1500}\\opposite = 1500\,*\,sin(43^o)\\h= 1500\,*\,sin(43^o)

8 0
3 years ago
A security expert claims that exactly 13​% of all homeowners have a home security alarm. State H0 and Ha in words and in symbols
soldi70 [24.7K]

Answer:

Two tailed

Step-by-step explanation:

Given that a security expert claims that exactly 13​% of all homeowners have a home security alarm.

Here we have to check whether the contention of security expert is correct or not

The test is to be done for the proportion of homeowners who have a home security alarm to total homeowners.

Let p be the proportion.

For this we set up hypotheses as:

H_0 = p = 13%=0.13\\H_a: p \neq 0.13

This is a two tailed test

Because alternate is for not equal to.  If alternate is for > or < we say one tailed and if not equal to we say two tailed.

3 0
3 years ago
Which table of ordered pairs represents a proportional relationship?​
Ann [662]

Answer:

All work but I’d pick the 3rd one

Step-by-step explanation:

7 0
3 years ago
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