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3 years ago

Which expression is equivalent to 6x-9, 3

Mathematics

1 answer:

Nana76 [90]3 years ago

6 0

Answer:

the expresion its equal at the d9feremce between you and the excercise so its 7

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Marissa purchased a couch from The Furniture Find for $700 and agreed to purchase it on credit through the store. She was charge

Bad White [126]

Answer:

The interest is $35 so it ends up costing her $70

Step-by-step explanation:

7 0

3 years ago

What is the simplified form of this expression?<br> (3 - 13x - 7x?) - (5X2 + 12x - 10)

tatiyna

Answer:

-5x^2-32x+13

Step-by-step explanation:

(3-13x-7x)-(5x^2+12x-10)

3-20x-5x^2-12x+10

-5x^2-32x+13

6 0

3 years ago

Read 2 more answers

For which value of b can the expression x2 + bx + 18 be factored?

Dmitry_Shevchenko [17]

Answers:

b = -19
b = -11
b = -9
b = 19
b = 11
b = 9

====================================================

Explanation:

Here are all the ways to multiply to 18 when using integers only:

-1*(-18) = 18
-2*(-9) = 18
-3*(-6) = 18
1*18 = 18
2*9 = 18
3*6 = 18

Sum each pair of factors to find out a possible value of b.

-1 + (-18) = -19
-2 + (-9) = -11
-3 + (-6) = -9
1 + 18 = 19
2 + 9 = 11
3 + 6 = 9

Therefore, the possible values of b are

b = -19
b = -11
b = -9
b = 19
b = 11
b = 9

which are the final answers.

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

An example:

Let's say b = 11. This would mean $x^2+bx+18$ becomes $x^2+11x+18$

It would factor to $(x+2)(x+9)$ since it was stated earlier that:

2+9 = 11

2 * 9 = 18

You can use the FOIL rule, distributive property, or the box method to confirm that $x^2+11x+18 = (x+2)(x+9)$ is a true equation for all real numbers x.

This same idea applies for the other values of b.

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

If you're curious why this works, consider multiplying the two factors (x+p) and (x+q)

Use the FOIL rule to get $(x+p)(x+q) = x^2+qx+px+pq = x^2+(p+q)x + pq$

The middle term $(p+q)x$ has the components add to the coefficient, while those same two components multiply to get the last term. This is why when factoring we're looking for two numbers that multiply to 18, and also add to the value of b (which in the case of the last example was 11).

7 0

2 years ago

Given cosα = −3/5, 180 < α < 270, and sinβ = 12/13, 90 < β < 180

torisob [31]

I got

$- \frac{6 3}{65}$

What we know

cos a=-3/5.

sin b=12/13

Angle A interval are between 180 and 270 or third quadrant

Angle B quadrant is between 90 and 180 or second quadrant.

What we need to find

Cos(b)

Cos(a)

What we are going to apply

Sum and Difference Formulas

Basics Sine and Cosines Identies.

1. Let write out the cos(a-b) formula.

$\cos(a - b) = \cos(a) \cos(b) + \sin(a) \sin(b)$

2. Use the interval it gave us.

According to the given, Angle B must between in second quadrant.

Since sin is opposite/hypotenuse and we are given a sin b=12/13. We. are going to set up an equation using the pythagorean theorem.

${12}^{2} + {y}^{2} = {13}^{2}$

$144 + {y}^{2} = 169$

$25 = {y}^{2}$

$y = 5$

so our adjacent side is 5.

Cosine is adjacent/hypotenuse so our cos b=5/13.

Using the interval it gave us, Angle a must be in the third quadrant. Since cos is adjacent/hypotenuse and we are given cos a=-3/5. We are going to set up an equation using pythagorean theorem,

$( - 3) {}^{2} + {x}^{2} = {5}^{2}$