2 years ago

What number is 7.5 more than 7.4?

Mathematics

1 answer:

Lorico [155]2 years ago

3 0

Answer:

the answer is 14.9

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An ice cream shop offers 3 ice cream flavors 3 types of syrup and 2 toppings for sundaes

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3 years ago

Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1 = x2 + 2x + 3 y2 = 2x + 12F

Svet_ta [14]

Answer:

$A = \int\limits^3__-3}{9}-{x^{2}} \, dx = 36$

Step-by-step explanation:

The equations are:

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

$y = 2x + 12$

The two graphs intersect when:

$x^{2} + 2x + 3 = 2x + 12$

$x^{2} = 0$

$x_{1} = 3\\x_{2} = -3$

To find the area under the curve for the first equation:

$A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

To find the area under the curve for the second equation:

$A_{2} = \int\limits^3__-3}{2x + 12} \, dx$

To find the total area:

$A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

Simplifying the equation:

$A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx$

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).

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2 years ago

What is the slope-intercept equation of this line?

Gekata [30.6K]

Answer:

y = -2x+8

Step-by-step explanation:

We have 2 points so we can find the slope

m = (y2-y1)/x2-x1)

m = ( -4 -8)/(6 - 0)

= -12/6

= -2

The y intercept is 8 from the point (0,8)

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -2x+8

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2 years ago

Jake makes and sells pies. He sells each pie for $5.75. The materials to make each pie costs Jake $4.00. The boxes Jakes put the

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Answer:

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3 years ago