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tatuchka [14]
3 years ago
7

Find a so that the point (-1, 2) is on the graph of f(x)=ax^2+5.

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0
We are asked to determine the value of a such that the function f(x) = ax^2 + 5 is fit for the point given (-1,2). In this case, we substitute 2 to y and -1 to x. The result is then 2 = a*(-1)^2 + 5 ; 2 = a + 5; a is then equal to -3
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Value of x in log5x = 4logx5 is
olchik [2.2K]
Log5 x=4 logx 5
Ln x/ln5=4(ln5 / ln x)                                 logx z=ln x / ln z
least common multiple=ln5 * ln x

ln²x=4ln²5
√(ln² x)=√(4 ln²5)
ln x=2ln 5
x=e^2ln5=25

Answer: x=25.

4 0
2 years ago
The sum of two numbers is 36. The first number is 1/5 of the second number. what are the numbers?
vfiekz [6]
Lets put this into an equation
x + 1/5 * x = 36
1.2x  = 36
x       = 30
1/5x = 6
So our final answer is 6 and 30.
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7 0
3 years ago
Find the constant of proportionality of the equation 2y = 20x
olganol [36]

Answer:

10

Step-by-step explanation:

We want to find k when y=kx

2y = 20x

Divide each side by 2

2y/2 =20x/2

y = 10x

The constant of proportionality is 10

4 0
3 years ago
Translate into an algebraic expression and simplify if possible. I have a total of 10 gigabytes of data on my computer, xgigabyt
pogonyaev

Answer:

(20-3x)/2 GB

Explanation:

Total amount of data on my computer = 10GB

Total amount of data occupied by movies = x GB

If pictures take up half the amount of space that movies do, then;

Total amount of data occupied by pictures = 1/2 of space occupied by movies = 1/2 x

If the remaining are music, the amount of space occupied by music will be expressed as shown;

Total space -(space occupied by movies + space occupied by pictures)

= 10 - (x+1/2 x)

Total amount of data occupied by music = 10 - (x+1/2 x) GB

On simplification;

= 10 - (x+1/2 x)

= 10-{(2x+x)/2}

= 10 - {3x/2}

= (20-3x)/2 GB

Hence, amount of gigabytes of music stored on my computer is expressed as (20-3x)/2 GB.

4 0
3 years ago
Which linear equality will not have a shared solution set with the graphed linear inequality? y > Two-fifthsx + 2 y Negative
miss Akunina [59]

Answer:

The answer is B

Step-by-step explanation:

Im on Edg right now and I got the answer

6 0
3 years ago
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