Sally and Eddy had a total of $580 after spending $80 and eddy had 240 left how much money does Sally have?

Question 1 (1 point)

olga55 [171]

Answer:

1) $2y^{2}+4y-9$

2) $18x^{5}y^{4}z$

3) $6x^{5}-12x^{4}+9x^{3}$

4) 40

5) $x^{3}-7x^{2}+3x+36$

Step-by-step explanation:

1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

$(y^{2}-3y-5)-(-y^{2}-7y+4)=y^{2}-3y-5+y^{2}+7y-4=2y^{2}+4y-9$

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

$(6xy^{3}z)(3x^{2}yx^{2})=18x^{5}y^{4}z$

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

$-3x^{3}(-2x^{2}+4x-3)=6x^{5}-12x^{4}+9x^{3}$

4) $(4a+5)^{2}$ is a square of a sum, then, by definition you have:

$(a+b)^{2}=a^{2}+2ab+b^{2}$

Then:

$(4a+5)^{2}=(4a)^{2}+2(4a)(5)+5^{2}=16a^{2}+40a+25$

The coefficient of the second term is the number in front of the variable a. Then, the answer is: 40

5) Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:

$(x-4)(x^{2}-3x-9)=x^{3}-3x^{2}-9x-4x^{2}+12x+36=x^{3}-7x^{2}+3x+36$

6 0

2 years ago

Find the distance between the pair of points given on the graph

seraphim [82]

The right answer is √74 units.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

7 0

2 years ago

Rewrite the quadratic equation 2x squared plus 12x plus 1 equal y

Sladkaya [172]

Answer:16x+1 = y

Step-by-step explanation:

2x squared is basically 2x times 2x which is 4x. So now that you eliminated that you have 4x+12x+1 = y . Now you have to group like terms. 4x+12x= 16x. So now you have 16+1 = y.

3 0

2 years ago

If the circumference of a circle is 12, and the angle measure of an arc is 60o, which is the length of the arc?

Kaylis [27]

We can get the measurement of the arc by determining first the radius of the circle. The circumference of a circle is equal to 2 * pi * radius. Hence from a 12 unit2 circumferenced circle, the radius is 1.91 units.Length of the arc is equal to radius times the angle in radians. 60 deg is equal to pi over 3. The length of the arc is equal to 2 units.

3 0

3 years ago

What is log Subscript 15 Baseline 2 cubed rewritten using the power property?

nalin [4]

Answer:

The equivalent expression

Step-by-step explanation:

Assuming your expression is $\log_{15}2^3$ , then we can use the power property of logarithm , which is $\log_ab^n=n\log_ab$ .

If we let a=15, b=2, and n=3

Then using the power property of logarithm will give us:

$\log_{15}2^3=3\log_{15}2$

Using the power property of logarithm, the equivalent expression is $3\log_{15}2$

7 0

3 years ago

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Sally and Eddy had a total of $580 after spending $80 and eddy had 240 left how much money does Sally have?​

Sally and Eddy had a total of $580 after spending $80 and eddy had 240 left how much money does Sally have?