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Gnom [1K]
3 years ago
7

What equation could generate the curve in the graph below

Mathematics
1 answer:
Marianna [84]3 years ago
5 0

Answer:

A

Step-by-step explanation:

We know the y intercept is positive so that eliminates choice D.

y = 3x^2 -2x+1

This does not intercept the x axis

y = 3x^2 -6x+3

= 3(x^2 -2x+1)

3(x-1)^2

This intercepts the x axis at 1

This is not the equation for the graph

y = 3x^2 -7x+1

Let x = 1

y = 3-7+1

  = -3

This will cross the x axis, so this cannot be the graph

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8 0
2 years ago
Find the slope of the line 7x-4y=10
Harman [31]

Answer:

The slope is m=(7/4)

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

7x-4y=10

so

Convert to slope intercept form

Isolate the variable y

4y=7x-10

y=(7/4)x-(10/4)

y=(7/4)x-(5/2)

The slope is m=(7/4)

5 0
3 years ago
Convert,the complex number into polar form: 4+4i
kow [346]
Z = a + bi
z = 4 + 4i

r² = a² + b²
r² = (4)² + (4)²
r² = 16 + 16
r² = 32
 r = 4√(2)
 r = 4(1.414)
 r = 5.656

cos\theta = \frac{a}{r}
cos\theta = \frac{4}{4\sqrt{2}}
cos\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}
cos\theta = \frac{4\sqrt{2}}{4\sqrt{4}}
cos\theta = \frac{4\sqrt{2}}{4(2)}
cos\theta = \frac{4\sqrt{2}}{8}
cos\theta = \frac{\sqrt{2}}{2}
2(cos\theta) = 2(\frac{\sqrt{2}}{2})
2cos\theta = \sqrt{2}
2cos\theta = 1.414

sin\theta = \frac{b}{r}
sin\theta = \frac{4}{4\sqrt{2}}
sin\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}
sin\theta = \frac{4\sqrt{2}}{4\sqrt{4}}
sin\theta = \frac{4\sqrt{2}}{4(2)}
sin\theta = \frac{4\sqrt{2}}{8}
sin\theta = \frac{\sqrt{2}}{2}
2(sin\theta) = 2(\frac{\sqrt{2}}{2})
2sin\theta = \sqrt{2}
2sin\theta = 1.414

z = a + bi
z = rcosθ + (rsinθ)i
z = r(cosθ + i sinθ)

z = 4 + 4i
z = 5.656cosθ + (5.656sinθ)i
z = 5.656(cosθ + i sinθ)
z = 5.656(cos45 + i sin45)

\theta = tan^{-1}\frac{b}{a}
\theta = tan^{-1}\frac{4}{4}
\theta = tan^{-1}(1)
\theta = 45

The polar form of 4 + 4i is approximately equal to 5.656(cos45 + i sin45).
5 0
3 years ago
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