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TEA [102]
3 years ago
10

Without solving the equation -3x+5 =44 tell whether the value of x is negative or positive

Mathematics
2 answers:
NARA [144]3 years ago
6 0

Answer:

It'd be a negative.

Step-by-step explanation:

This is because a negative times a negative is a positive. The answer's a positive, so two negatives multiplied by each other plus a positive would be a positive.

marshall27 [118]3 years ago
3 0

Answer:

x= -13

The value of x is negative

Step-by-step explanation:

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If a,b,c and d are positive real numbers such that logab=8/9, logbc=-3/4, logcd=2, find the value of logd(abc)
Eva8 [605]

We can expand the logarithm of a product as a sum of logarithms:

\log_dabc=\log_da+\log_db+\log_dc

Then using the change of base formula, we can derive the relationship

\log_xy=\dfrac{\ln y}{\ln x}=\dfrac1{\frac{\ln x}{\ln y}}=\dfrac1{\log_yx}

This immediately tells us that

\log_dc=\dfrac1{\log_cd}=\dfrac12

Notice that none of a,b,c,d can be equal to 1. This is because

\log_1x=y\implies1^{\log_1x}=1^y\implies x=1

for any choice of y. This means we can safely do the following without worrying about division by 0.

\log_db=\dfrac{\ln b}{\ln d}=\dfrac{\frac{\ln b}{\ln c}}{\frac{\ln d}{\ln c}}=\dfrac{\log_cb}{\log_cd}=\dfrac1{\log_bc\log_cd}

so that

\log_db=\dfrac1{-\frac34\cdot2}=-\dfrac23

Similarly,

\log_da=\dfrac{\ln a}{\ln d}=\dfrac{\frac{\ln a}{\ln b}}{\frac{\ln d}{\ln b}}=\dfrac{\log_ba}{\log_bd}=\dfrac{\log_db}{\log_ab}

so that

\log_da=\dfrac{-\frac23}{\frac89}=-\dfrac34

So we end up with

\log_dabc=-\dfrac34-\dfrac23+\dfrac12=-\dfrac{11}{12}

###

Another way to do this:

\log_ab=\dfrac89\implies a^{8/9}=b\implies a=b^{9/8}

\log_bc=-\dfrac34\implies b^{-3/4}=c\implies b=c^{-4/3}

\log_cd=2\implies c^2=d\implies\log_dc^2=1\implies\log_dc=\dfrac12

Then

abc=(c^{-4/3})^{9/8}c^{-4/3}c=c^{-11/6}

So we have

\log_dabc=\log_dc^{-11/6}=-\dfrac{11}6\log_dc=-\dfrac{11}6\cdot\dfrac12=-\dfrac{11}{12}

4 0
2 years ago
Select all the expressions that are equivalent to 9 + 7x – 3y. 9 + 7x + 3y 9 – 7x – 3y 9 – 7x + 3y 9 + 7x + (–3y) 9 – (–7)x – 3y
bulgar [2K]

0^9 +7x+189yx−3y

o

9

+7x−3y

9

+7x+3y

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−7x−3y

9

−7x+3y

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+7x+189yx−3y

2 Collect like terms.

{o}^{9}+(7x+7x-7x-7x+7x)+(-3{y}^{9}+3{y}^{9}-3{y}^{9}+3{y}^{9})+189yx-3y

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9

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{o}^{9}+7x+189yx-3y

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9

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6 0
2 years ago
Patty is baking for the holidays. 3/5of her treats are cookies and 1/6of her treats are cupcakes. The rest are brownies. What fr
BartSMP [9]
So the answer would be 7/30 because 3/5 + 1/6 = 23/30 and you add 7 to that and get 30 well that’s what I believe hope this helped
7 0
3 years ago
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Anna35 [415]

Answer:

x=1

Step-by-step explanation:

1) 6x-5y=5

2) 3x+5y=4

ets perform the following operation

1) +2), This leads to the following equation:

6x+3x-5y+5y=5+4

From where we obtain the solution for x

9x=9

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3 0
3 years ago
Can some please help me!!!! I need this asap!
Alecsey [184]

Answer:

A= -1,4 B=2,3 C=3,0 D=-1,-1

Step-by-step explanation:

idk what your looking for but I hope this helps

6 0
3 years ago
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