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IRINA_888 [86]
3 years ago
9

I need help on #3!!!

Mathematics
2 answers:
blagie [28]3 years ago
6 0

Answer:

all work is pictured and shown

Veseljchak [2.6K]3 years ago
5 0

Answer:

\frac{{x}^{2} - 9}{{x}^{2} - 16}

Step-by-step explanation:

[\frac{(x - 3)(2x + 1)}{(x - 4)(x + 5)}][\frac{(x + 3)(x + 5)}{(x + 4)(2x + 1)}] =  \frac{(x - 3)(x + 3)}{(x - 4)(x + 4)} =  \frac{{x}^{2} - 9}{{x}^{2} - 16}

In order to figure this out, you have to factor every single trinomial in the denominators and numerators. By doing this, you will arrive at your answer alot swifter.

I am joyous to assist you anytime.

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find real numbers a, b, and c so that the graph of the function y=ax^2+c contains the points (-1,6), (2,7), and (0,1)
Paraphin [41]
This gives you three simultaneous equations:

6 = a + c
7 = 4a + c
1 = c
 
<u>c = 1
</u>
<u /><u />
If c =1,

6 = a + 1
<u>a = 5
</u>
<u /><u />
This doesn't work in the second equation, so the quadratic that goes through these points is not in the form y = ax^2 + bx + c
Was there supposed to be a b in the equation?




5 0
4 years ago
Write an equation of the line that passes through (1, 2) and is perpendicular to the line y=13x+4.
Serhud [2]

Answer:

Step-by-step explanation:

y=-1/13x   since it is perpendicular flip it and make it negative

6 0
3 years ago
Read 2 more answers
What two number multiply to -48 and add to -2?
Novosadov [1.4K]

Answer:

6 and -8

Step-by-step explanation:

Solve:

xy = 48

x + y = -2

You can say y = -2-x = -(x+2) and then substitute that in the first:

-x(x+2) = 48

-x² -2x - 48 = 0

x² + 2x + 48 = 0

Quadratic formula can do the rest if you don't "see" the factorization.

5 0
4 years ago
Josh bought some cases of water. Each case has 12 water bottles.
Akimi4 [234]
Hello!

Equation D. t = 12c shows how many bottles of water Josh bought.

Explanation:

The first three equations would NOT give you the answer, because if you divide, you'll find out how many bottles are in each case.

If you subtract and add, it'll also result in the wrong answer, so D is the right equation.
3 0
3 years ago
What is the area of a circle with a diameter of 24 meters (use 3.14 for Pi)?
Zarrin [17]

The area of a circle is represented by the equation:


A=\pi r^{2}


We know that the diameter is two times the radius: d=2r


So if we know that the diameter of the circle is 24m, we can divide this by two in order to get the radius:


24m=2r -->r=12m


So then we can plug this radius in to the equation for the area of a circle:


A=\pi (12)^{2}


A=144\pi


We are told to use 3.14 as pi, and not pi itself, so let's plug in 3.14 for pi:


A=3.14(144)


A=452.16m^{2}


Now we know that the area of this circle is 452.16 square meters.

5 0
3 years ago
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