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Lilit [14]
3 years ago
5

The sum of seven and 5 times a number is 48

Mathematics
1 answer:
lilavasa [31]3 years ago
3 0

Answer:

The sum of seven and five is 12 so the number would be 4 because 12 times 4 is 48 so the answer is "4" please give me brainliest!!

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4x^2 y+8xy'+y=x, y(1)= 9, y'(1)=25
jarptica [38.1K]

Answer with explanation:

\rightarrow 4x^2y+8x y'+y=x\\\\\rightarrow 8xy'+y(1+4x^2)=x\\\\\rightarrow y'+y\times\frac{1+4x^2}{8x}=\frac{1}{8}

--------------------------------------------------------Dividing both sides by 8 x

This Integration is of the form ⇒y'+p y=q,which is Linear differential equation.

Integrating Factor

 =e^{\int \frac{1+4x^2}{8x} dx}\\\\e^{\log x^{\frac{1}{8}+\frac{x^2}{2}}\\\\=x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}

Multiplying both sides by Integrating Factor  

x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}\times [y'+y\times\frac{1+4x^2}{8x}]=\frac{1}{8}\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}\\\\ \text{Integrating both sides}\\\\y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=\frac{1}{8}\int {x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}} \, dx \\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=\int {x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}} \, dx\\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=-[x^{\frac{9}{8}}]\times\frac{ \Gamma(0.5625, -x^2)}{(-x^2)^{\frac{9}{16}}}\\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=(-1)^{\frac{-1}{8}}[ \Gamma(0.5625, -x^2)]+C-----(1)

When , x=1, gives , y=9.

Evaluate the value of C and substitute in the equation 1.

6 0
3 years ago
I need a little extra help with number three
diamong [38]

Answer:

The answer to your question is:

Step-by-step explanation:

Data

f(x) = -2x² + 8x - 2

Process

                -2x² + 8x = y + 2

                -2(x² - 4x + 4) = y + 2 - 8

                -2(x - 2)² = y - 6

                    (x - 2)² = 1/2 (y - 6)

Vertex = (2, 6)

Axis of symmetry =   x = 2

y-intercept

                 f(0) = -2(0)² + 8(0) - 2

                 f(0) = 0 + 0 - 2

                 f(0) = -2

Domain    (-∞, ∞)

Range    (-∞, 6]

See the graph below

6 0
3 years ago
What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth.
kicyunya [14]
If treasure is midway of two points then treasures point is(x1+x2/2,y1+y2/2)

16+3/2, 21+2/2

Else any point shown byyour options is treasure's point

8 0
3 years ago
Read 2 more answers
49 POINTS!!!
Tema [17]
Sphere to 1
cone to 7 
 cylinder to 5
<span>triangular prism to 4 
</span><span>cube to 3
</span><span>rectangular pyramid to 6
</span><span>triangular pyramid to 2
</span><span>rectangular prism to 8</span>
3 0
3 years ago
Read 2 more answers
Write all names that apply to the number 36/9
rjkz [21]
Whole number
integer
natural number
rational
4 0
3 years ago
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