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2 years ago

Help! Combing Functions mastery test!

Mathematics

2 answers:

Lena [83]2 years ago

7 0

Answer:

Step-by-step explanation:i took the test

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mihalych1998 [28]2 years ago

5 0

C
I took this test
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Please please help 100 points

stiks02 [169]

We're given

$\displaystyle \int_4^{-10} g(x) \, dx = -3$

which immediately tells us that

$\displaystyle \int_{-10}^4 g(x) \, dx = 3$

In other words, swapping the limits of the integral negates its value.

Also,

$\displaystyle \int_4^6 g(x) \, dx = 5$

The integral we want to compute is

$\displaystyle \int_{-10}^6 g(x) \, dx$

which we can do by splitting up the integral at x = 4 and using the known values above. Then the integral we want is

$\displaystyle \int_{-10}^6 g(x) \, dx = \int_{-10}^4 g(x) \, dx + \int_4^6 g(x) \, dx = 3 + 5 = \boxed{8}$

7 0

3 years ago

The slope of the line passing through the points (2,3) and (4, y) is

umka2103 [35]

Answer:

Step-by-step explanation:

y2-y1 y-3 =3 what -3 =3? 6 :)

x2-x1 4-2 = 2

slope is 3/2

8 0

3 years ago

Unit test

skad [1K]

Answer:

Step-by-step explanation:

you need to do Gems as an hint what is gems u may be asking it is grouping exponents multiplication subtractin

8 0

3 years ago

What is x+4/5=2/3- x-3/6

natima [27]

$x+\frac{4}{5}=\frac{2}{3}-x-\frac{\not3^1}{\not6_2}\\\\x+\frac{4}{5}=\frac{2}{3}-x-\frac{1}{2}\\\\find\ LCD(\frac{4}{5};\ \frac{2}{3};\ \frac{1}{2})=2\times3\times5=30\\\\multiply\ both\ sides\ by\ LCD=30\\\\30x+30\cdot\frac{4}{5}=30\cdot\frac{2}{3}-30x-30\cdot\frac{1}{2}\\\\30x+6\cdot4=10\cdot2-30x-15\cdot1\\\\30x+24=20-30x-15$

$30x+24=5-30x\ \ \ \ |subtract\ 24\ from\ both\ sides\\\\30x=-19-30x\ \ \ \ \ |add\ 30x\ to\ both\ sides\\\\60x=-19\ \ \ \ \ |divide\ both\ sides\ by\ 60\\\\\boxed{x=-\frac{19}{60}}$

$\frac{x+4}{5}=\frac{2}{3}-\frac{x-3}{6}\\\\\frac{x+4}{5}=\frac{2\cdot2}{3\cdot2}-\frac{x-3}{6}\\\\\frac{x+4}{5}=\frac{4}{6}-\frac{x-3}{6}\\\\\frac{x+4}{5}=\frac{4-(x-3)}{6}\\\\\frac{x+4}{5}=\frac{4-x+3}{6}\\\\\frac{x+4}{5}=\frac{7-x}{6}\ \ \ \ |cross\ multiply$

$6(x+4)=5(7-x)\\\\6(x)+6(4)=5(7)-5(x)\\\\6x+24=35-5x\ \ \ \ \ |subtract\ 24\ from\ both\ sides\\\\6x=11-5x\ \ \ \ \ |add\ 5x\ to\ both\ sides\\\\11x=11\ \ \ \ \ |divide\ both\ sides\ by\ 11\\\\\boxed{x=1}$

6 0

3 years ago

6 more than 3 times x

seraphim [82]

the answer is eighteen (you should know that)

8 0

3 years ago