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4 years ago

10 POINTS!!! FULL ANSWER IN STEP BY STEP FORMAT!!

Mathematics

1 answer:

Lilit [14]4 years ago

4 0

After a little manipulation, the given diff'l equation will look like this:

e^y * dy = (2x + 1) * dx.
x^2
Integrating both sides, we get e^y = 2------- + x + c, or e^y = x^2 + x + c
2

Now let x=0 and y = 1, o find c:

e^1 = 0^2 + 0 + c. So, c = e, and the solution is e^y = x^2 + x + e.

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You pay $3.00 to play. The dealer deals you one card. If it is a spade, you get $10. If it is anything else, you lose your money

Alenkinab [10]

no because you're more than likely going to lose your money

4 0

3 years ago

Can you help me with 17,18,19,20,21

iren [92.7K]

Answer:

See Below

Step-by-step explanation:

#17. You just have to plot the points, this should be super easy. Go to the left 6 (because it is negative) then up four. This is M. Then go right 5 and up 4 and plot A.

#18. Point T is a reflection of A over the X-axis. This is quite simple as well. All you need to do it make your Y coordinate negative? Why Y? You'll see. You need to essentially "fold" the graph at the X line, so your Y value goes from up top at 4 to below the X axis as we're reflecting over the X line. I hope that makes sense. T should be at 5,-4

#19 This is the same process as 18, Over the X coordinate. Make Y negative and plot it. It should be H= -6,-4

#20 You can get this from the answers from #18 and #19.

#21. The formula is Base*2+Height*2, or Base+Base+Height+Height. You want the distance around. I'll have you figure this out, but if you get comment and I'll check back. How many steps do you go up from T to A? How about over from H to T 9 or (M to A)? Once you find how many units your base and height are, use the formula for perimeter to find the answer. Hope this helps! :)

6 0

3 years ago

Write each expression as a product of linear factors 1. X^2+1/2x 2. X^2+2x-3 3. (2x-3)^2 4. X^3+2x^2-19x-20

Grace [21]

Answer:

1. X^2+1/2x = $x(x+\frac{1}{2})$

2. X^2+2x-3 = $(x-1)(x+3)$

3. (2x-3)^2 = (2x-3)(2x-3)

4. X^3+2x^2-19x-20 = $(x+1)(x-4)(x+5)$

Step-by-step explanation:

Each expression can be written as a product of linear factors as follows

1. X^2+1/2x ⇒ $x^{2} + \frac{1}{2}x$

$x^{2} + \frac{1}{2}x$ = $x(x+\frac{1}{2})$

Hence, X^2+1/2x = $x(x+\frac{1}{2})$

2. X^2+2x-3 ⇒ $x^{2} +2x-3$

$x^{2} +2x-3 = x^{2} +3x-x-3$

$x^{2} +3x-x-3 = x(x+3) -1(x+3)$

$x(x+3) -1(x+3) = (x-1)(x+3)$

Hence, X^2+2x-3 = $(x-1)(x+3)$

3. (2x-3)^2 ⇒ $(2x-3)^{2}$

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

Hence, (2x-3)^2 = (2x-3)(2x-3)

4. X^3+2x^2-19x-20 ⇒ $x^{3}+2x^{2} -19x -20$

$x^{3}+2x^{2} -19x -20 = (x+1)(x^{2} +x-20)$

First,

$x^{2} +x-20 = x^{2} +5x-4x-20\\x^{2} +5x-4x-20= x(x+5)-4(x+5)\\x(x+5)-4(x+5) = (x-4)(x+5)$

∴ $(x+1)(x^{2} +x-20) = (x+1)(x-4)(x+5)$

Hence, X^3+2x^2-19x-20 = $(x+1)(x-4)(x+5)$

3 0

3 years ago

Tyrone completed 3/8 of a report on Wednesday. Then he completed 1/2 of the report on Thursday. Did Tyrone complete more of his

JulijaS [17]

Answer:

tyrone completed more of his report on Thursday.

Step-by-step explanation:

first you have to find the common denominator. in this case it would be 8. then you have to multiply 1/2 times 4 to make the denominators equal. so now instead of 1/2 it is 4/8. and 3/8 < 4/8

4 0

3 years ago

Can I get help on this bc if I don’t do it now my math teacher will call my parents

kherson [118]

Answer:

<u>39.28cm^2 </u>

Step-by-step explanation:

Simple work out the area of a circle and halve it.

3.142xr^2

3.142x5^2 = 78.55 cm^2 (Full circle area)

Now we must halve that answer to get the semicircle.

78.55/2 = 39.275 cm^2

However, we need it to 2dp. Therefore the answer is 39.28cm^2

7 0

3 years ago