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Anon25 [30]
3 years ago
13

"Eight times a number a" in algebraic terms would be:

Mathematics
1 answer:
viva [34]3 years ago
4 0

Answer:

8a

Step-by-step explanation:

8 "times" means 8 multiplied by

In algebraic terms we don't right 8*a or 8xa, but 8a

Hope this helps!

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Find the range of the function y=1/2x+3 when the domain is (-2,0,2,4)
Triss [41]

Answer:

{2,3,4,5}

Step-by-step explanation:

Domain is the set of x-values for which the function is defined.

Range is the set of y-values for which the function is defined (set of values corresponding to the set of x-values).

The function is given as  y=\frac{1}{2}x+3

The domain is (-2,0,2,4)

That means, we need to plug-in the 4 numbers given into x of the function and find the 4 corresponding y values (the range).

So, lets do this:

putting x = -2,

y=\frac{1}{2}(-2)+3=2

putting x = 0

y = 3

putting x = 2

y=\frac{1}{2}(2)+3=4

putting x= 4

y=\frac{1}{2}(4)+3=5

Thus, the range is {2,3,4,5}

5 0
3 years ago
Find the value of the variable y, where the sum of the fraction 2/y-3 and 6/y+3 is equal to the quotient.
NISA [10]

Answer:

Here we need to solve:

\frac{2}{y - 3}  + \frac{6}{y + 3 }  = \frac{\frac{2}{y-3}}{\frac{6}{y + 3} }

The sum of the fractions is equal to the quotient between the fractions.

Notice that the two values:

y = 3

y = -3

make the denominator equal to zero, so those values are restricted.

We can simplify the right side to get:

\frac{2}{y - 3}  + \frac{6}{y + 3 }  = \frac{\frac{2}{y-3}}{\frac{6}{y + 3} } = \frac{2*(y + 3)}{6*(y - 3)}  = 3*\frac{y + 3}{y - 3}

Now we can multiply both sides by (y - 3)

(y - 3)*(\frac{2}{y - 3}  + \frac{6}{y + 3 }) = 3*(y + 3)\\2 + 6*\frac{y -3}{y + 3} = 3*(y + 3)

Now we can multiply both sides by (y + 3)

(2 + 6*\frac{y -3}{y + 3})*(y + 3) = 3*(y + 3)*(y + 3)

2*(y + 3) + 6*(y - 3) = 3*(y + 3)*(y + 3)\\\\2*y + 6 + 6*y - 18 = 3*(y^2 + 2*y*3 + 9)\\\\8*y - 12 = 3*y^2 + 6*y + 33\\\\0 = 3*y^2 + 6*y + 33 - 8*y + 12\\\\0 = 3*y^2 - 2*y + 45

First, let's see the determinant of that quadratic equation:

D = (-2)^2 - 4*3*45 = -536

We can see that it is negative, thus, there are no real solutions of the equation.

Thus, there is no value of y such that the origina equation is true,

6 0
3 years ago
How would I do 7-3-10+9-8? And please explain the steps to solving
zaharov [31]

Answer:

-5

Step-by-step explanation:

do it chronologically so

7-3=4

4-10= -6

-6+9= 3

3-8= -5

7 0
3 years ago
Hurry I WILL MARK YOU AS BRAINLIEST
olga55 [171]

Answer:

Third choice is correct

Step-by-step explanation:

-2x-y=-2

-y=2x-2

y=-2x+2

3x-y=-2

-y=-3x-2

y=3x+2

These two lines intersect at (0, 2)

3 0
3 years ago
A soccer team made 24 penalty shots out of 100. Which ratio represents
Misha Larkins [42]

Answer:

Step-by-step explanation:

4 0
3 years ago
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