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Zielflug [23.3K]
3 years ago
12

Use the graph to find the solution of the system of equations {y = x^2 + 6x + 8 {y = x + 4

Mathematics
1 answer:
Phantasy [73]3 years ago
8 0
Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.

One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:

x^2 + 6x + 8 = x + 4

We can then combine like terms, or move everything to one side. So we get:

x^2 + 5x + 4 = 0.

Then we can use the quadratic formula to solve for x.

x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)

This simplifies into:

(-5 +/- 3)/2

Finally we add and subtract:

(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4

And our solution is x = -1, x = -4
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This question is confusing. Please help me!This question is confusing. Please help me!
Lera25 [3.4K]

Answer:

(C) 1/2

Step-by-step explanation:

  • s + 3s = 4s
  • t + 3t = 4t

If 4s is 2 more than 4t, then:

  • 4s = 2+ 4t
  • 4s - 4t = 2
  • 4s/4 - 4t/4 = 2/4
  • s - t = 1/2

(C) is the answer

7 0
3 years ago
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What is -4 x 8 x n simplified?
Galina-37 [17]

Answer:

It's -32x^2

Step-by-step explanation:

3 0
2 years ago
Leave answer in the simplest radical form.
slega [8]

\cfrac{7x^{-\frac{3}{2}} ~~ y^{\frac{5}{2}} ~~ z^{-\frac{2}{3}}}{56 x^{-\frac{1}{2}} ~~ y^{\frac{1}{4}}}\implies \cfrac{7}{56}\cdot \cfrac{y^{\frac{5}{2}} ~~ y^{-\frac{1}{4}}}{x^{-\frac{1}{2}} ~~ x^{\frac{3}{2}} ~~ z^{\frac{2}{3}}}\implies \cfrac{1}{8}\cfrac{y^{\frac{5}{2}-\frac{1}{4}}}{x^{-\frac{1}{2}+\frac{3}{2}}~~ z^{\frac{2}{3}}}

\cfrac{y^{\frac{9}{4}}}{8x z^{\frac{2}{3}}}\implies \cfrac{\sqrt[4]{y^9}}{8x\sqrt[3]{z^2}}\implies \cfrac{\sqrt[4]{y (y^2)^4}}{8x\sqrt[3]{z^2}}\implies \cfrac{y^2 \sqrt[4]{y}}{8x\sqrt[3]{z^2}}

7 0
2 years ago
Which graph represents this equation?<br> y = 1/2x^2 + 2x - 6
s2008m [1.1K]

Answer:

C

Step-by-step explanation:

y = 1/2x^2 + 2x - 6

When, x = 0, y = - 6

you don't need to find another variable. Because in number C u can find a graph that has y= -6 when x =0.

6 0
3 years ago
Solve for b.<br><br> + b = -1<br><br> b = <br> 10
True [87]

Answer: B= -11

Step-by-step explanation:

math

6 0
3 years ago
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