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2 years ago

-4x+3<9 help please and show your answer

Mathematics

1 answer:

vladimir1956 [14]2 years ago

8 0

Answer:

X =1,5

Step-by-step explanation:

==>-4x+3<9

==>-4x<9-3

==>-4x<6.

==> $x = \frac{6}{4}$

==>x =1.5

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In the diagram, the length of segment QV is 15 units.

Andrews [41]

Answer:

The answer is 15 units.

Step-by-step explanation:

The reason it is 15 units is because We know that QV = 15 and TQ = TS, QV = SV;4 x - 1 = 154 x = 15 + 14 x = 16x = 16 : 4 = 4 henceforth the answer being 15 units

6 0

2 years ago

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A geometric sequence is shown below.

mestny [16]

Answer:

An explicit representation for the nth term of the sequence:

$f_n=-\frac{1}{2}\cdot \:4^{n-1}$

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

$-\frac{1}{2},\:-2,\:-8,\:-32,...$

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

$f_n=f_1\cdot r^{n-1}$

Determining the common ratios of all the adjacent terms

$\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4$

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

$f_n=f_1\cdot r^{n-1}$

$f_n=-\frac{1}{2}\cdot \:4^{n-1}$

Thus, an explicit representation for the nth term of the sequence:

$f_n=-\frac{1}{2}\cdot \:4^{n-1}$

It means, option (B) should be true.

8 0

2 years ago

Yaneev thinks of a number y. He subtracts three from the number, then doubles it. Then he subtracts three again, and doubles the

Sergio039 [100]

Answer: y=6

Step-by-step explanation:

The given number is y.

According to the question,

Step 1 . subtracts three from the number (y-3), then doubles it

i.e. Final number = 2(y-3)

Step 2 . subtracts three again i.e. (2(y-3)-3), and doubles the number again

i.e. Final result = 2(2(y-3)-3)

If the result is his original number y, then

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

⇒ 2(2y-6-3)=y [ using distributive property]

⇒ 2(2y-9)=y

⇒ 2(2y)-2(9)=y [ using distributive property]

⇒ 4y -18=y

⇒ 4y -y= 18

⇒ 3y= 18

⇒ y= 6 [Divide both sides by 3]

Hence, y=6

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2 years ago

Denise is checking to determine if the expressions x+x+6 and 4+3x-2 are equivalent. When x=4, she correctly found that both expr

gayaneshka [121]

The answer would be 8 when the value of x = 2

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3 years ago

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BC = 36; D = 15. What is the value of BD - AC.<br> B<br> A<br> BD - AC =

Snezhnost [94]

Answer:

BD - AC = 0

Step-by-step explanation:

Given that:

BC = 36 , CD = 15 and BD = x

As these are forming right angled triangle,

Using Pythagorean theorem,

$(BD)^2+(CD)^2=x^2\\(36)^2+(15)^2 = x^2\\1296 + 225 = x^2\\1521 = x^2\\$

Taking square root on both sides

$\sqrt{x^2}=\sqrt{1521}\\x=39$

As the given shape is rectangular, the sides parallel to each other will have same values.

AB = 15 , AD = 36 and AC = x

$(15)^2+(36)^2 = x^2 \\225 + 1296 = x^2 \\1521 = x^2 \\x = 39$

Now,

BD - AC = 39 - 39 = 0

Hence,

BD - AC = 0

5 0

3 years ago