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3 years ago

5a+7=4a+4 solve for a.

Mathematics

2 answers:

stich3 [128]3 years ago

8 0

Answer:

a=-3

Step-by-step explanation:

Combine the variable: 5a+7=4a+4

Combine the constants: a+7=4

a=-3

Zarrin [17]3 years ago

3 0

Answer:

5a+7=4a++4

solution

54-4a=4-7

a= -2

1a/1=-2/1

a=-2

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Write an exponential function in the form y=ab^x that goes through points (0,7) and (5,1701).

Marizza181 [45]

Answer:

y = 7 $3^{x}$

Step-by-step explanation:

Use the given ordered pairs to find a and b

Using (0, 7 ), then

7 = a $b^{0}$ ( $b^{0}$ = 1 ), thus

a = 7

y = 7 $b^{x}$

Using (5, 1701 )

1701 = 7 $b^{5}$ ( divide both sides by 7 )

243 = $b^{5}$ ( take the fifth root of both sides )

b = $\sqrt[5]{243}$ = 3 , thus

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3 years ago

a six sided die is rolled 4 times in a row. What is the probability of getting 4 only on the last trial of this experiment?

hoa [83]

First, start of by saying what the probability of getting a 4 is, which is 1/6.
Now, this means the probability of not getting a 4 is 1-(1/6)=(5/6), since the total probability is 1.

After doing this, you should think about what it means to only get 4 on the last trial, the 4th trial. It means that the probabilities of the 1st, 2nd, and 3rd trial were (5/6) each. The 4th trial had a probability of (1/6). So the probability would be calculated as following: ( $(5/6)^3*(1/6)$ = $5^3/6^4$ . You can use a calculator or your computer to find out that the probability is 125/1296.

I hope this was helpful!

5 0

3 years ago

Suppose Q is the midpoint of PR. Use the information to find the missing value.

murzikaleks [220]

Step-by-step explanation:

If Q is the midpoint of PR

Then PQ + QR = PR

(6x + 25) + (16 - 3x)

group the same terms and add them

(6x - 3x) + (25 + 16)

Hence PR = (3x + 41)

But to find the value of PR....If Q is the midpoint....then PQ = QR...since they are both half lengths of PR;