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3 years ago

Simplify 1/2 (8x + 6) + (3x -2)

Mathematics

2 answers:

Eddi Din [679]3 years ago

4 0

Answer:

Simplified

Step-by-step explanation:

--------------

19x +10

Step2247 [10]3 years ago

3 0

Answer:

7x+1

Step-by-step explanation:

1/2 (8x+6) + (3x-2)

distribute the 1/2 into (8x+6) --- ( just means to divide by 2)

4x+3 + (3x-2)

then put common terms together

4x + 3x = 7x

+3 -2 = 1

= 7x + 1

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Which graph represents f(x)=4*2x?

hram777 [196]

$f(x)=4\cdot2^x\\\\y-intercept\ for\ x=0:\\\\f(0)=4\cdot2^0=4\cdot1=4$

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4 years ago

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2. If a polyhedron has 19 vertices and 13 faces, how many edges does it have?

Margaret [11]

Answer:

30 Edges.

Step-by-step explanation:

Euler's formula tells us that $V-E+F=2$ (Vertices - edges + faces = 2).

Plug the numbers in:

$19-E+13=2$

Solve:

$32-E=2$

$32=2+E$

$30=E$

Therefore, there are 30 edges.

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3 years ago

Find the equation of the tangent of x^2- xy + y^2 =7 at (-1, 2)

Citrus2011 [14]

Answer:

It is 3y = 4x + 10

Step-by-step explanation:

Let's first get the slope of the curve.

[ slope is the derivative of the equation ]

${x}^{2} - xy + {y}^{2} = 7$

introduce dy/dx :

$\frac{d}{dx} ( {x}^{2} - xy + {y}^{2} ) = \frac{d}{dx} (7) \\ \\ 2x - (y + \frac{dy}{dx} ) + 2y \frac{dy}{dx} = 0$

make dy/dx the subject:

$2x - y - \frac{dy}{dx} + 2y \frac{dy}{dx} = 0 \\ \\ 2y \frac{dy}{dx} - \frac{dy}{dx} = y - 2x \\ \\ \frac{dy}{dx} (2y - 1) = y - 2x \\ \\ \frac{dy}{dx} = \frac{y - 2x}{2y - 1}$

At point (-1, 2):

$\frac{dy}{dx} = \frac{2 - 2( - 1)}{2(2) - 1} \\ \\ slope = \frac{4}{3}$

but a tangent has the same slope as the curve:

$y = mx + c$

m is the slope

c is the y-intercept

At (-1, 2):

$2 = ( - 1 \times \frac{4}{3} ) + c \\ \\ c = 2 + \frac{4}{3} \\ \\ c = \frac{10}{3}$

equation:

$y = \frac{4}{3} x + \frac{10}{3} \\ \\ { \boxed{3y = 4x + 10}}$

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3 years ago

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Sheri is saving up for college textbooks. She has saved $840, but she needs at least $2,460 to cover the cost of the textbooks.

Ratling [72]

Answer:

A. x ≥ 60

Step-by-step explanation:

Amount already saved + amount tutoring = at least $2,460

⇒ 840 + 27x ≥ 2,460

⇒ 27x ≥ 1620

⇒ x ≥ 60

Therefore, Sheri has to give at least 60 tutoring sessions.

8 0

2 years ago

Can anyone please help me I’ll give you brain list

irga5000 [103]

Answer:

3a. yes

3b. y= 75x

3c. 600 mi

3d. 10 inches

Step-by-step explanation:

3a: if you divide the y by the x, you'd get 75 everytime, meaning it's proportional.

3b: y would equal the amount of inches multiplied by 75, so y=75x

3c: you can use the equation and substitute the x for 8, so y=75(8), giving you 600 miles

3d: you can also use the equation in reverse, if the actual miles is 750, then this is your y, so it would look like 750=75x and to solve you'd divide, 750/75, giving you 10 inches

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3 years ago