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vekshin1
3 years ago
7

Lorine drew the model below to represent the equation 16 + 28 = ___ ´ (4 + 7).

Mathematics
2 answers:
True [87]3 years ago
6 0

Answer:

4

Step-by-step explanation:

Lelechka [254]3 years ago
6 0

Answer:

Its A (A is 4)

Step-by-step explanation:

Also correct on Edge 2021

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Consider the region bounded by the curves y=|x^2+x-12|,x=-5,and x=5 and the x-axis
Tasya [4]
Ooh, fun

what I would do is to make it a piecewise function where the absolute value becomse 0

because if you graphed y=x^2+x-12, some part of the garph would be under the line
with y=|x^2+x-12|, that part under the line is flipped up

so we need to find that flipping point which is at y=0
solve x^2+x-12=0
(x-3)(x+4)=0
at x=-4 and x=3 are the flipping points

we have 2 functions, the regular and flipped one
the regular, we will call f(x), it is f(x)=x^2+x-12
the flipped one, we call g(x), it is g(x)=-(x^2+x-12) or -x^2-x+12
so we do the integeral of f(x) from x=5 to x=-4, plus the integral of g(x) from x=-4 to x=3, plus the integral of f(x) from x=3 to x=5


A.
\int\limits^{-5}_{-4} {x^2+x-12} \, dx + \int\limits^{-4}_3 {-x^2-x+12} \, dx + \int\limits^3_5 {x^2+x-12} \, dx

B.
sepearte the integrals
\int\limits^{-5}_{-4} {x^2+x-12} \, dx = [\frac{x^3}{3}+\frac{x^2}{2}-12x]^{-5}_{-4}=(\frac{-125}{3}+\frac{25}{2}+60)-(\frac{64}{3}+8+48)=\frac{23}{6}

next one
\int\limits^{-4}_3 {-x^2-x+12} \, dx=-1[\frac{x^3}{3}+\frac{x^2}{2}-12x]^{-4}_{3}=-1((-64/3)+8+48)-(9+(9/2)-36))=\frac{343}{6}

the last one you can do yourself, it is \frac{50}{3}
the sum is \frac{23}{6}+\frac{343}{6}+\frac{50}{3}=\frac{233}{3}


so the area under the curve is \frac{233}{3}
6 0
3 years ago
Latoya's annual salary is $26,000. A total of $7352.24 will be deducted for taxes and health insurance. She will receive her pay
Anna71 [15]

Step-by-step explanation:

Lets translate this word problem into math.

"Latoya's annual salary is $26,000" = We start with the number 26,000

"A total of $7352.24 will be deducted for taxes and health insurance" = It's the number we started with "deducted" (minus) 7352.24

"She will receive her paycheck monthly in 12 equal installments" = Our number will be divided by 12

"How much will she get paid with each paycheck?" = "Find answer pls thx"

To put it all together...

\frac{26,000-7,352.24}{12}

Now all we have to do is solve!

\frac{26,000-7,352.24}{12}

  • Subtract.

\frac{18,647.76}{12}

  • Divide.

1,553.98

Answer:

Latoya will get paid $1,553.98 with each paycheck.

7 0
2 years ago
PLZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE!!!!
Digiron [165]
The answer is 51 liters.

Since they have a direct relationship, set up a direct proportion.
17/476=x/1428
476x3 is 1428 so
17x3=51
3 0
3 years ago
What is the product? 3x^5(2x^2+4+1)
const2013 [10]

Answer:

6x^{7} +15x^{5}

Step-by-step explanation:

3x^{5}(2x^{2} +4+1)

Multiply 3x^{5} by each term in the parentheses.

6x^{7} + 12x^{5} +3x^{5}

Now, all you have to do is simplify.

6x^{7} +15x^{5}

5 0
3 years ago
point (4,4),(4,0), and (0,0) are the vertices of the triangle the enclosed whole squares and half squares on the grid. determine
Advocard [28]

Answer:

8

Step-by-step explanation:

finding the area is h x l x 1/2. The h is 4 and the l is also 4. That multiplied is 16. Multiply that by 1/2 and you get 8

6 0
2 years ago
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