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Elza [17]
3 years ago
12

Find the value of b in the graph of y=3x+b if it is known that the graph goes through the point: N(0,5)

Mathematics
2 answers:
dangina [55]3 years ago
5 0

I think it’s five too

tino4ka555 [31]3 years ago
4 0

Answer:

I believe b is 5.

Step-by-step explanation:

When you place the points in the values, you get 5=3(0)+b. When you simplify it, you get 5=b. I really hope this is correct, I apologize if it isn't! I hope this helps! :)

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Calculate the total area of the shaded region.
LUCKY_DIMON [66]

so hmmm seemingly the graphs meet at -2 and +2 and 0, let's check

\stackrel{f(x)}{2x^3-x^2-5x}~~ = ~~\stackrel{g(x)}{-x^2+3x}\implies 2x^3-5x=3x\implies 2x^3-8x=0 \\\\\\ 2x(x^2-4)=0\implies x^2=4\implies x=\pm\sqrt{4}\implies x= \begin{cases} 0\\ \pm 2 \end{cases}

so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill

\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}

7 0
2 years ago
Mmmmm help HELPPPPP,,,,,,
Aleks [24]

Answer:

I guess it's 63degrees

I hope it will help

4 0
2 years ago
Question 1
vivado [14]

Answer:

33, 792

Step-by-step explanation:

first convert the 8 miles to feet because our answers are in feet.

1 mile= 5280 feet

therefore 8 miles= 5280×8

= 42240

Dale and son covered 4/5 of the 42240 feet

= 4/5×42240

= 33,782 feet

4 0
1 year ago
Harold has 7 bags, each containing the same number of marbles. He has a total of 42 marbles in the bag
Crazy boy [7]

Answer:

294 or 6

Step-by-step explanation:

if he has 7 bags and 42 marbles in each then the answer will be 294

but if ur tryna say that there are a total of 42 marbles combined, then there are 6 marbles in each bag

3 0
2 years ago
A stalk of corn casts a shadow of 117 inches, while a 8-inch ear of corn casts a shadow of 13 inches. Use similar triangles to f
Gemiola [76]

Answer: 72

We can use ratios

117 inches / 13 inches = 9

The corn cast shadow is 9 times bigger than the example we are given.

9 * 8 = <u><em>72</em></u>

7 0
1 year ago
Read 2 more answers
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