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2 years ago

What is the value of x in the product of powers below plz I need help

Mathematics

1 answer:

Alexeev081 [22]2 years ago

5 0

Answer:

x = -7

Step-by-step explanation:

Recall this rule of exponents:

a^b*a^c = a^(b+c)

We have:

6^9*6^x = 6^2

Then 9 + x = 2. Subtracting 9 from both sides, we get: x = -7

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The sum of two numbers is 278. One number is 52 more than the other number. What are the two numbers

STALIN [3.7K]

Answer:

The numbers are 165 and 113

Step-by-step explanation:

Let

x ----> one number

y ----> the other number

we know that

$x+y=278$ ----> equation A

$x=y+52$ ----> equation B

substitute equation B in equation A

$(y+52)+y=278$

solve for y

$2y=278-52$

$2y=226$

$y=113$

<em>Find the value of x</em>

$x=y+52$

$x=113+52=165$

therefore

The numbers are 165 and 113

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2 years ago

What is 3 minus -2 need help ASAP

OleMash [197]

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2 years ago

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The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount o

IgorLugansk [536]

Answer:

y=0.2x+29

Step-by-step explanation:

Given that:

y is the total monthly of the A Fee and Fee plan.

x is the number of monthly minutes used.

If a customer uses 290 minutes, the monthly cost will be $87, we have the pair (290, 87)

If the customer uses 980 minutes, the monthly cost will be $225, this is the coordinate pair (980, 225).

We want to obtain an equation in the form: y=mx+b

First, let us determine the slope, m

Given points (290, 87) and (980, 225):

<u>Slope</u>

$m=\dfrac{225-87}{980-290} =\dfrac{138}{690}=0.2$

Next, we determine the y-intercept, b.

Substituting the pair (290, 87) and m=0.2 in y=mx+b, we obtain

87=0.2(290)+b

b=87-0.2(290)=29

Therefore, our equation in the form y=mx+b is:

y=0.2x+29

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2 years ago