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3 years ago

Help! Click to see question!

Mathematics

2 answers:

Solnce55 [7]3 years ago

8 0

Answer:

The common facor is x-3.

Step-by-step explanation:

The first expression can be factored with a difference of squares, x+3 and x-3. You can check that by multiplying them together to get x²-9. Knowing that you need a common factor, one that works for both expressions, you can immediately eliminate A and B. The second expression, x²-5x+6, has to share one of these two factors. To factor this, you find the numbers that multiply to the c term and add to the b term. (Ax²+bx+c) so b is -5 and c is 6. All you have to do is find out which two numbers add to -5 and multiply to 6. You start with factors of 6, which are +-6 and +-1, and +-3 and +-2. Say you try 6 and 1 first. The b term is negative, so these two added have to add to a negative number, which means positive 6 and positive 1 won´t work. The only way to add to -5 is to add 1 to -6 or -6 to 1, but multiplying those together gives you -6, and you need positive 6 in the c term. That leaves you with -2 and -3. they add to -5, and multiply to -6, which means that your common term is x-3. Test this by expanding your result, (x-2)(x-3), if you get the original expression theyre both factors.

EleoNora [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Both equations use x squared

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Can someone please help me please I really need help please help

mr Goodwill [35]

Answer:

K'(4, -4)
L'(8, -4)
M'(8, 8)
N'(4, 8)

Step-by-step explanation:

Dilation centered at the origin multiplies every coordinate value by the scale factor.

K(1, -1) ⇒ K' = 4(1, -1) = (4, -4)

L(2, -1) ⇒ L' = 4(2, -1) = (8, -4)

M(2, 2) ⇒ M' = 4(2, 2) = (8, 8)

N(1, 2) ⇒ N' = 4(1, 2) = (4, 8)

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2 years ago

The population of a particular city is given by the function P(t) = 27,400(1.07)t, where t is the time in years and P(t) is the

otez555 [7]

Answer:

27,400 is the current population

7% is the rate of increase

The new size is:

38,430 is the population if t is an exponent

146,590 is t is NOT an exponent in the formula you typed

Step-by-step explanation:

To find the population in a future year, use the formula:

$P(t) = 27,400(1.07)t$

Substitute the value t=5 to find the population in 5 years.

$P(t) = 27,400(1.07)t\\P(t) = 27,400(1.07)(5)\\P(t) = 146,590$

Or if the equation is supposed to have t as an exponent then look below:

$P(t) = 27,400(1.07)^t$

Substitute the value t=5 to find the population in 5 years.

$P(t) = 27,400(1.07)^t\\P(t) = 27,400(1.07)^(5)\\P(t) = 38,430$

This formula is based off the standard formula $A=A_0(1+r)^t$ so r, the rate is 1.07=1+0.07 so r is 7%.

$A_0$ is the starting population which is 27,400 here.

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3 years ago

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Svetlanka [38]

Answer:

The answer is B!!

Step-by-step explanation:

What do we know given from the statement above the photo? We are told <Q is congruent to <S, and QR is congruent to SR. So by given that, we have an angle (angle Q or angle S), a side (side QR or SR), and another angle (angle R), so we have ASA. I hope this helps!!

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2 years ago

Read 2 more answers

Matias gets dressed in the dark one morning and chooses his clothes at random. He chooses a shirt(green, red or yellow) a pair o

inn [45]

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3 years ago

A quadratic equation has a

11111nata11111 [884]

Answer:

$\boxed {\boxed {\sf 2 \ real \ solutions }}$

Step-by-step explanation:

The quadratic formula is:

${x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}$

The discriminant of a quadratic is just the expression under the square root, or $b^2-4ac$ . This can tell us the number of solutions a quadratic has.

If the discriminant is:

Positive = 2 real solutions
Equal to Zero = 1 real double/repeated solution
Negative = 0 real solutions, but 2 imaginary solutions

Our quadratic equation has a discriminant of 5, which is positive. Therefore, it has 2 real solutions.

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2 years ago