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ruslelena [56]
3 years ago
15

PLEASE HELLLP!!!!! If x+7=2y and y=2x−1, what is the value of y? (NOT 13)

Mathematics
1 answer:
oee [108]3 years ago
5 0

Answer:

(C) 5

Step-by-step explanation:

x+7=2y

<em>Subtract 7 from both sides</em>

x=2y-7

2y-7=x

<em>Multiply both sides by 2</em>

4y-14=2x

y=2x−1

<em>Add 1 to both sides</em>

y+1=2x

<u>Combine equations:</u>

y+1=4y-14

<em>Add 14 to both sides</em>

y+15=4y

<em>Subtract y from both sides</em>

15=3y

3y=15

<em>Divide both sides by 3</em>

y=5

<u>The answer is </u><u>(C) 5.</u>

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Section 5.2 Problem 17:
Elina [12.6K]

This DE has characteristic equation

4r^2 - 12r + 9r = (2r - 3)^2 = 0

with a repeated root at r = 3/2. Then the characteristic solution is

y_c = C_1 e^{\frac32 x} + C_2 x e^{\frac32 x}

which has derivative

{y_c}' = \dfrac{3C_1}2 e^{\frac32 x} + \dfrac{3C_2}2 x e^{\frac32x} + C_2 e^{\frac32 x}

Use the given initial conditions to solve for the constants:

y(0) = 3 \implies 3 = C_1

y'(0) = \dfrac52 \implies \dfrac52 = \dfrac{3C_1}2 + C_2 \implies C_2 = -2

and so the particular solution to the IVP is

\boxed{y(x) = 3 e^{\frac32 x} - 2 x e^{\frac32 x}}

8 0
2 years ago
Which of the following is a solution of x2 + 4x + 10?
sattari [20]
X^2+4x+10=0

x^2+4x=-10

x^2+4x+4=-6

(x+2)^2=-6

x+2=±i√6

x=-2±i√6

So the correct answer is the third one down from the top.
3 0
3 years ago
Read 2 more answers
What is the surface area of cone below Diameter AB=21 and distance from B to C =36
Vesnalui [34]

Answer:

1533.88261311522

Step-by-step explanation:

<em>Let r be the radius of the (base/circle)</em>

<em>and  L be the slant height of the cone</em>

<em>Formula ………………………………………………………………………………………………………</em>

The surface area of a cone = the (curved/lateral) surface area +  the base

                                             =\pi r^{2}\ \ \ +\ \ \ \pi Lr

=========================================

r=\frac{21}{2} =10.5

L = BC = 36

\text{surface area} =\pi \left( 10.5\right)^{2}  +\pi \times 36\times \left( 10.5\right)

                   =346.360590058275 + 1187.52202305694

                   =1533.88261311522

6 0
2 years ago
Kinda need help on both of these, will give brainliest btw
MissTica

Answer:this is gonna help you sm

Step-by-step explanation:

There’s an all called photo math, download it on ur phone and ur set

3 0
3 years ago
6*(2x+3)-(4x+2)=32 what is X?
nydimaria [60]

Answer:

6*(2x+3)-(4x+2)=32

answer is x=2

3 0
3 years ago
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