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Kryger [21]
3 years ago
15

Solve for x: 5x+ 100 3x + 112

Mathematics
1 answer:
Anna71 [15]3 years ago
7 0

Answer:

you can't solve if it does not equal anything, but you can simplify

Step-by-step explanation:

simplified it is,

8x+212

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If you borrowed $3,500 to buy a new car at 3% interest and paid it back in 4 years. How much would you pay in interest?
tankabanditka [31]

Answer:

$420

Step-by-step explanation:

Calculate 3% of 3,500:

0.03*3500 = 105

105 per year for 4 years:

105*4 = 420

7 0
2 years ago
A box of golf balls costs $7.32. At that rate, how much will a box of 15 balls cost?
san4es73 [151]
Your question is vague. There is not enough information. How many balls are in the box? 15 boxes would cost 109.80 thought.
3 0
3 years ago
No links, I just need an explanation on how to do this, like step by step because I don't understand. T-T
Goryan [66]

Answer:

a. Jared and Ali

Step-by-step explanation:

b. Molly make mistake when he/she divide all equation by 4 but left the 8x remain 8x, it should be 2x.

Mark make mistake in changing the sign whitout changing side/ passing trough equal sign. FYI, + can be - and also - can be + if they move to the other side

i.e.

2 + 3 = 5

2 = 5 - 3

7 0
2 years ago
Find the point (,) on the curve =8 that is closest to the point (3,0). [To do this, first find the distance function between (,)
ELEN [110]

Question:

Find the point (,) on the curve y = \sqrt x that is closest to the point (3,0).

[To do this, first find the distance function between (,) and (3,0) and minimize it.]

Answer:

(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})

Step-by-step explanation:

y = \sqrt x can be represented as: (x,y)

Substitute \sqrt x for y

(x,y) = (x,\sqrt x)

So, next:

Calculate the distance between (x,\sqrt x) and (3,0)

Distance is calculated as:

d = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}

So:

d = \sqrt{(x-3)^2 + (\sqrt x - 0)^2}

d = \sqrt{(x-3)^2 + (\sqrt x)^2}

Evaluate all exponents

d = \sqrt{x^2 - 6x +9 + x}

Rewrite as:

d = \sqrt{x^2 + x- 6x +9 }

d = \sqrt{x^2 - 5x +9 }

Differentiate using chain rule:

Let

u = x^2 - 5x +9

\frac{du}{dx} = 2x - 5

So:

d = \sqrt u

d = u^\frac{1}{2}

\frac{dd}{du} = \frac{1}{2}u^{-\frac{1}{2}}

Chain Rule:

d' = \frac{du}{dx} * \frac{dd}{du}

d' = (2x-5) * \frac{1}{2}u^{-\frac{1}{2}}

d' = (2x - 5) * \frac{1}{2u^{\frac{1}{2}}}

d' = \frac{2x - 5}{2\sqrt u}

Substitute: u = x^2 - 5x +9

d' = \frac{2x - 5}{2\sqrt{x^2 - 5x + 9}}

Next, is to minimize (by equating d' to 0)

\frac{2x - 5}{2\sqrt{x^2 - 5x + 9}} = 0

Cross Multiply

2x - 5 = 0

Solve for x

2x  =5

x = \frac{5}{2}

Substitute x = \frac{5}{2} in y = \sqrt x

y = \sqrt{\frac{5}{2}}

Split

y = \frac{\sqrt 5}{\sqrt 2}

Rationalize

y = \frac{\sqrt 5}{\sqrt 2} *  \frac{\sqrt 2}{\sqrt 2}

y = \frac{\sqrt {10}}{\sqrt 4}

y = \frac{\sqrt {10}}{2}

Hence:

(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})

3 0
3 years ago
A rectangular prism that has a length of 6 units, width of 4 units, and height of 5 units.
AlladinOne [14]

Answer:

inside

120

Step-by-step explanation:

E D G E N U I T Y

Stay safe and have a wonderful day/afternoon/night!!!!!

Brainliest?!?!

5 0
3 years ago
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