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2 years ago

Find the vertex of the following equation. y= -x^2+4x+3

Mathematics

2 answers:

Ugo [173]2 years ago

7 0

D. (2,7) hope this helps you

Strike441 [17]2 years ago

3 0

Answer:

D. (2,7)

Step-by-step explanation:

Hope this helps!

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A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the d

Sloan [31]

Answer:

D) Quadratic

Step-by-step explanation:

A function is graphed on a coordinate grid.

As the domain values approach infinity, the range values approach infinity.

Domain: If $x\rightarrow \infty$ then

Range: $y\rightarrow \infty$

As the domain values negative infinity, the range values approach infinity.

Domain: If $x\rightarrow -\infty$ then

Range: $y\rightarrow \infty$

We need to choose correct option which follows given domain and range.

Only quadratic function will follow the rule because it has even degree polynomial.

Quadratic function: $f(x)=ax^2+bx+c$

Degree = 2 and leading coefficient is positive.

Domain: $x\belong (-\infty,\infty)$

Range: $y\belong (b,\infty)$

Hence, D is correct option.

4 0

2 years ago

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22.4 cm 18.1 cm 28 cm What’s the volume of the triangular prism

Elena L [17]

Answer:19.3

Step-by-step explanation:

4 0

2 years ago

Find all the zeroes of the equation(with simple steps).

uysha [10]

Answer-

The zeros are, $5,\ -5,\ 4i,\ -4i$

Solution-

$\Rightarrow -3x^4+27x^2+1200=0$

$\Rightarrow -3(x^2)^2+27(x^2)+1200=0$

Here,

a = -3, b = 27, c = 1200

So,

$x^2=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$=\dfrac{-27\pm \sqrt{-27^2-4\cdot (-3)\cdot 1200}}{2\cdot (-3)}$

$=\dfrac{-27\pm \sqrt{729+14400}}{-6}$

$=\dfrac{-27\pm 123}{-6}$

$=\dfrac{-27+123}{-6},\ \dfrac{-27- 123}{-6}$

$=\dfrac{96}{-6},\ \dfrac{-150}{-6}$

$=-16,\ 25$

So,

$\Rightarrow x^2=25,\ -16$

$\Rightarrow x=\sqrt{25},\ \sqrt{-16}$

$\Rightarrow x=5,\ -5,\ 4i,\ -4i$

8 0

2 years ago

Find the mean, median, and mode of the data with and without the outlier.

Neporo4naja [7]

With outlier
Mean is 117
Mode is 12
Median is 12
Without
Mean is 49
Mode is 12
Median is 12

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2 years ago

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Click on a factor pair of 32

VashaNatasha [74]

Answer: 4 and 8

Step-by-step explanation:

The factors pairs of 32 are 1, 2, 4, 8, and 16

8 0

2 years ago