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S_A_V [24]
3 years ago
10

How many solutions does the system have? x+2y=2 2x+4y=−8 ​

Mathematics
1 answer:
Nikitich [7]3 years ago
3 0

Answer:

Step-by-step explanation:

x + 2y = 2

2x + 4y = -8

-2x - 4y = -4

 2x + 4y = -8

0 not equal to -12

no solution

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aleksandrvk [35]
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4 0
3 years ago
Find the x intercept of the parabola with vertex 3,-2 and y intercept 0,7 round to the nearest hundredth
12345 [234]
An x-intercept is namely a "solution" or "zero" or "root" often called, and when that happens, y = 0, just like with any other x-intercept.

\bf ~~~~~~\textit{parabola vertex form}&#10;\\\\&#10;\begin{array}{llll}&#10;\boxed{y=a(x- h)^2+ k}\\\\&#10;x=a(y- k)^2+ h&#10;\end{array}&#10;\qquad\qquad&#10;vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;h=3\\&#10;k=-2&#10;\end{cases}\implies y=a(x-3)^2-2&#10;\\\\\\&#10;\textit{we also know that }&#10;\begin{cases}&#10;x=0\\&#10;y=7&#10;\end{cases}\implies 7=a(0-3)^2-2&#10;\\\\\\&#10;9=9a\implies \cfrac{9}{9}=a\implies 1=a\qquad therefore\qquad \boxed{y=(x-3)^2-2}

so what is its x-intercept anyway?

\bf \stackrel{y}{0}=(x-3)^2-2\implies 2=(x-3)^2\implies \pm\sqrt{2}=x-3&#10;\\\\\\&#10;\pm\sqrt{2}+3=x\qquad therefore\qquad (\pm\sqrt{2}+3~~~~,~~~~0)
5 0
3 years ago
Evaluate f(−3) for f(x)=2x2−x+5.
Natasha2012 [34]

Answer: -4

Step-by-step explanation:

2(-3)*2-(-3)+5= -4

7 0
3 years ago
Miss Silvia order 5 pizzas for every 20 students working on the campus clean up how many pizzas should I order if there are 36 s
Delvig [45]
12 for 48, 9 for 36.
3 0
3 years ago
The ratio of teachers to students on a field trip to New York City is 2 to 9. If there are 243 students on the trip,
Veseljchak [2.6K]

Answer:

54 teachers

Step-by-step explanation:

Step one:

given data

The ratio of teachers to students on a field trip to New York City is 2 to 9.

That is the ratio is 2:9

We are told that there are 243 students

Required

We want to find the number of teachers

Step two:

Applying the part to part method we have

let the number of teachers be x

2/9= x/243

cross multiply we have

9x= 243*2

9x= 486

divide both sides by 9

x= 54

Hence there are 54 teachers

4 0
3 years ago
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