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suter [353]
3 years ago
11

PLEASE ANSWER, WILL GIVE BRAINLIEST!

Mathematics
1 answer:
kumpel [21]3 years ago
8 0
<h3>Answer:  b = 17</h3>

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

Explanation:

The line must go through the point (5,2) which means x = 5 and y = 2 pair up together.

We'll plug these x and y values into the equation and solve for b.

y = -3x+b

2 = -3(5)+b

2 = -15+b

2+15 = b

17 = b

b = 17

The equation y = -3x+b turns into y = -3x+17

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Tom determines the system of equations below has two solutions, one of which is located at the vertex of the parabola.
Rus_ich [418]

Answer:

b must equal 7 and a second solution to the system must be located at (2, 5).

Step-by-step explanation:

Rearranging the first equation:

y = (x - 3)^2 + 4

From this we see that the vertex is at the point (3,4).

So one solution of equation 2 is (3 ,4).

Substituting in equation 2:

4 = -3 + b

b = 7.

So equation 2 is y = - x + 7.

Now we check if  (2, 5) is on this line:

5 = -2 + 7 = 5 , therefore  (2, 5) is on this line.

Verifying if (2, 5)  is also on y = (x - 3)^2 + 4:

5 = (2 - 3)^2 + 4 =  1 + 4 = 5

- so it is. and a second solution to the system is (2, 5).

5 0
3 years ago
How to solve 2/3(6x-9)=-34
castortr0y [4]
\frac{2}{3} (6x-9)=-34 \\ \\  \frac{2(6x - 9)}{3} =-34 \\ \\  \frac{2 \times 3(2x-3)}{3} =-34 \\ \\  \frac{6(2x - 3)}{3} = -34 \\ \\ 2(2x - 3) = -34 \\ \\ 2x - 3 - \frac{34}{2} \\ \\ 2x - 3 = -17 \\ \\ 2x -17 + 3 \\ \\ 2x = -14 \\ \\ x = - \frac{14}{2} \\ \\ x = -7 \\ \\ Answer: \fbox {x = -7}
5 0
3 years ago
A moving company drove one of its trucks 100,042 miles one year. A second truck was
hram777 [196]

319049

as 100,042 + 98,117 + 120,890 = 319,049

7 0
3 years ago
If <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bdy%7D%7Bdt%7D%20%3Dky" id="TexFormula1" title=" \frac{dy}{dt} =ky" alt=" \frac
sladkih [1.3K]

This ODE is separable; we have

\dfrac{\mathrm dy}{\mathrm dt}=ky\implies\dfrac{\mathrm dy}y=k\,\mathrm dt

Integrating both sides gives a general solution of

\ln|y|=kt+C\implies y=e^{kt+C}=Ce^{kt}

B is the only choice that is applicable.

4 0
3 years ago
Expand and simplify x(x + 1)(x + 2)
zimovet [89]

Answer:

x^3 + 3x^2 + 2x

Step-by-step explanation:

x(x^2 + x + 2x + 2)

x ( x^2 + 3x + 2)

x^3 + 3x^2 + 2x

6 0
3 years ago
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