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vagabundo [1.1K]
3 years ago
5

Compare 7 2/5 7 3/7 greater, less than or equal

Mathematics
1 answer:
Marat540 [252]3 years ago
6 0

Answer:7 3/7 < 7 2/5

Step-by-step explanation:

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Please help! Will mark brainliest
Marina CMI [18]

Answer:

30 degrees but I have to write more stuff so brainly will let me submit my answer

8 0
3 years ago
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Find 3 consecutive even integers if their sum decreased by 10 equals -22
Orlov [11]
Three consecutive even integers can be represented by x, (x+2), and (x+4).

(x + (x + 2) + (x + 4)) - 10 = -22   Get rid of the parentheses
    x + x + 2 + x + 4 - 10 = -22   Combine like terms (x + x + x) and (2 + 4 - 10)
                               3x - 4 = -22   Add 4 to both sides
                                    3x = -18   Divide
                                      x = -6
Check you work.

x = -6
x + 2 = -4
x + 4 = -2

(-6 - 4 - 2) - 10 = 22
-12 - 10 = -22

So, your three integers are -6, -4, and -2 .
6 0
3 years ago
3. The curve C with equation y=f(x) is such that, dy/dx = 3x^2 + 4x +k
Andreas93 [3]

a. Given that y = f(x) and f(0) = -2, by the fundamental theorem of calculus we have

\displaystyle \frac{dy}{dx} = 3x^2 + 4x + k \implies y = f(0) + \int_0^x (3t^2+4t+k) \, dt

Evaluate the integral to solve for y :

\displaystyle y = -2 + \int_0^x (3t^2+4t+k) \, dt

\displaystyle y = -2 + (t^3+2t^2+kt)\bigg|_0^x

\displaystyle y = x^3+2x^2+kx - 2

Use the other known value, f(2) = 18, to solve for k :

18 = 2^3 + 2\times2^2+2k - 2 \implies \boxed{k = 2}

Then the curve C has equation

\boxed{y = x^3 + 2x^2 + 2x - 2}

b. Any tangent to the curve C at a point (a, f(a)) has slope equal to the derivative of y at that point:

\dfrac{dy}{dx}\bigg|_{x=a} = 3a^2 + 4a + 2

The slope of the given tangent line y=x-2 is 1. Solve for a :

3a^2 + 4a + 2 = 1 \implies 3a^2 + 4a + 1 = (3a+1)(a+1)=0 \implies a = -\dfrac13 \text{ or }a = -1

so we know there exists a tangent to C with slope 1. When x = -1/3, we have y = f(-1/3) = -67/27; when x = -1, we have y = f(-1) = -3. This means the tangent line must meet C at either (-1/3, -67/27) or (-1, -3).

Decide which of these points is correct:

x - 2 = x^3 + 2x^2 + 2x - 2 \implies x^3 + 2x^2 + x = x(x+1)^2=0 \implies x=0 \text{ or } x = -1

So, the point of contact between the tangent line and C is (-1, -3).

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2 years ago
Describe features that determine a translation, rotation, and reflection.
yulyashka [42]
Hii I hope this helps! :)
Translation: It’s a transformation that moves every point in a figure the same distance in the same direction.
Rotation: It’s a a transformation that turns a figure about a fixed point.
Reflection: It’s a transformation that takes a shape/preimage and flips it across a line called the line of reflection to create a new shape/image.
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3 years ago
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Plz help me thanks so much for helping
11111nata11111 [884]

Answer:

total cost = 351.33

Step-by-step explanation:

The tax is found by multiply the cost times the tax rate

tax = 334.60 * .05

tax =16.73

Add the tax to the cost of the item to get the total cost

total cost = 16.73 + 334.60

total cost = 351.33

6 0
3 years ago
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