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3 years ago

What is the simplified expression for 5ab+9ab+ab

Mathematics

2 answers:

OLEGan [10]3 years ago

8 0

It is basically 5+9+1ab

Margaret [11]3 years ago

4 0

The answer would be 15ab

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What is the equation of a line with a y-intercept at (0,6) and a slope of 3?

tino4ka555 [31]

Answer: answer A

Step-by-step explanation: y = mx + b

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4 years ago

Calculate the double integral. $$\iint_{R}{\color{red}4} xye^{x^{2}y}\hspace*{3pt}dA, \quad R = [0, 1] \times [0, {\color{red}7}

Lady_Fox [76]

Answer:

$\mathbf{\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 (e^7 -8)}$

Step-by-step explanation:

Given that:

$\int \int _R 4xye^{x^2 \ y} \ dA, R = [0,1]\times [0,7]$

The rectangle R = [0,1] × [0,7]

R = { (x,y): x ∈ [0,1] and y ∈ [0,7] }

R = { (x,y): 0 ≤ x ≤ 1 and 0 ≤ x ≤ 7 }

$\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0}\int^{1}_{0} 4xye^{x^2 \ y} \ dx dy$

$\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \begin {bmatrix} ye^{yx^2} \dfrac{4}{2y} \end {bmatrix}^1 _ 0 \ dy$

$\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \begin {bmatrix} ye^{y1^2} \dfrac{4}{2y} - ye^{y0^2} \dfrac{4}{2y} \end {bmatrix}\ dy$

$\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \dfrac{4}{2}(e^y -1) \ dy$

$\int \int _R \ 4xy e^{x^2 \ y} \ dA = \dfrac{4}{2}[e^y -1]^7_0 \ dy$

$\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-(e^0 -0)]$

$\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-1]$

$\mathbf{\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 (e^7 -8)}$

3 0

4 years ago

What's equivalent to a2/3

pishuonlain [190]

4/6 6/9 8/12 10/15 and so on, just multiply both the numerator and denominator by the same number and get your answer.

4 0

3 years ago

Ms. Wilson draws a model of the factorization of a polynomial with integer factors. Her model is partially complete.

sergejj [24]

I'll just factor the above equation.

x² + 18x + 80

x² ⇒ x * x
80
can be:
1 x 80
2 x 40
4 x 20
5 x 16
8 x 10 Correct pair

(x+8)(x+10)
x(x+10) +8(x+10) ⇒ x² + 10x + 8x + 80 = x² + 18x + 80

x+8 = 0
x = -8

x+10 = 0
x = -10

x = -8

(-8)² + 18(-8) + 80 = 0
64 - 144 + 80 = 0
144 - 144 = 0
0 = 0

(-10)² + 18(-10) + 80 = 0
100 - 180 + 80 = 0
180 - 180 = 0
0 = 0

I think the algebra tiles will not be a good tool to use to factor the quadratic equation because the equation is not a perfect square quadratic equation.

5 0

3 years ago

Ended up with 7 7 quarters. Which expression equals the number of dollars Monique spent on the book?

shtirl [24]

Answer:

6.25-1.75

Step-by-step explanation:

Step-by-step explanation:

Monique had 6 dollars. She found 25 cents and then bought a book

25 cents = 0.25 dollars

Total dollar she had= 6 + 0.25= 6.25 dollars

Let x be the cost of a book

She ended up with 7 quarters. Convert quarter into dollars

1 quarter = 0.25 dollars

7 quarters = 7 times 0.25=1.75 dollars

So she ended up with 1.75 dollars

Amount she had at the beginning - the cost of book = amount ended up

Number of dollars spent on the book = Amount she had - amount ended

Number of dollars spent on the book=

6.25-1.75

6 0

3 years ago