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Iteru [2.4K]
2 years ago
15

Please help!

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
5 0
If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
Substitute (2, -4): -4 = a(-1/2)^2 + k
-4 = a/4 + k
Subtracting: 2 = 2a, so a = 1. Substituting back gives k = -17/4.
So the equation is y = (x - 5/2)^2 - 17/4
Expanding: y = x^2 - 5x + 25/4 - 17/4
y = x^2 - 5x + 2 (This is the standard form.)
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How to graph x+y=3 and x-y=1
guapka [62]
Put them in y= mx+b format. . 
x+y=3 ---> y= -x+3 
x-y=1 ---> y= x-1 
The x's are your slope and the numbers are your y-intercept.
Hope it helps!
7 0
3 years ago
Read 2 more answers
Andrew earned $125.00 last year on his investment of $10,000.00
Artemon [7]

Answer:

1,25%

Step-by-step explanation:

Aby policzyć stopę procentową należy wykorzystać podzielić otrzymany zarobek (125$) przez kwotę zainwestowaną (10.000$) a następnie pomnożyć przez 100, aby otrzymać wartość wyrażoną w procentach.

I tak mamy

\frac{125}{10000} x 100 [%] = 1,25%

7 0
3 years ago
Read 2 more answers
How many solutions are there to 3x-10(x+2) =13-7x
Vaselesa [24]

This is the following way to solve this problem:

3x-10(x+2)=13-7x

3x-10x-20=13-7x        (multiply 10 times what's in the parentheses)

-7x-20=13-7x              ( subtract 3x from -10x)

-7x-20-13=-7x             ( since the 13 is positive, when we move it to the other

                                   side, we change it's sign, so now we subtract 13 from 20

-7x-7=-7x

-7=-7x+7x                   ( we do the same thing we did above, now with the -7x)

-7=x

x=-7

Answer: x = -7

--- --- --- --- --- --- ---

: )

8 0
2 years ago
A new law has support from some Democrats and some Republicans. The table shows the relative frequencies of the columns for the
Lisa [10]
A .32 of people who support it are Democrats and .68 of people who support it are Republicans, so of the people who support it a larger percent are Republicans
6 0
3 years ago
Read 2 more answers
If 4^2x+1 = 4, then =
Aneli [31]

Step-by-step explanation:

step 1. what is the question? probably solve for x. okay.

step 2. 4^(2x) + 1 = 4

step 3. 4^(2x) = 3 subtract 1 from each side

step 4. ln4^(2x) = ln3 take on of each side

step 5. 2xln4 = ln3 definition of logs

step 6. 2x = ln3/ln4 divide both sides by ln4

step 7. x = ln3/2ln2^2 divide both side by 2 and replace 4 with 2^2

step 8. x = ln3/4ln2.

4 0
3 years ago
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