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Nadusha1986 [10]
3 years ago
11

In f(x) = 2x2 − 8x − 10, the y-intercept is ? at ? and the x-intercepts are (-1, 0) and ? .

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0
<h2>1.  y-intercept</h2>

\boxed{(0,-10)}

The quadratic function f(x)=2x^22-8x-10 represents a parabola. In fact, the graph of a quadratic function is a special type of U-shaped curve called a parabola. To find the y intercept, we set x=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)

<h2>2.  x-intercepts</h2>

\boxed{(-1,0) \ and \ (5,0)}

To find the other x-intercept, we must set y=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ y=0 \rightarrow 2x^2-8x-10=0 \\ \\ Using \ the \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \therefore x=\frac{-(-8) \pm \sqrt{(-b)^2-4(2)(-10)}}{2(2)} \\ \\ \therefore x_{1}=-1 \ and \ x_{2}=5

Therefore, the other x-intercept is (5,0). You can see both the y-intercept and the x-intercepts in the figure below.

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Answer:

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Step-by-step explanation:

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2 years ago
Work out the answer to this problem to reduce to the simplest form 5/8-1/2=
inysia [295]
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3 0
2 years ago
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What is the result of adding these two equations?<br> 4x – 4y = -2<br> –9x – 4y = -3
kondaur [170]

Answer: -5x-8y=-5

Step-by-step explanation:

add right sides of equation and even them with result of adding right sides of equation

4x-4y-9x-4y=-2-3

-5x-8y=-5

5 0
3 years ago
Is -1 2/3 rational or irrational
Maurinko [17]

Answer: rational

Step-by-step explanation:

4 0
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At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain a mean of 520 ml. The filling process follows a n
gladu [14]

Answer:

A) Population standard deviation is known.

B) Option 3

H0: μ =520,

H1: μ ≠ 520

z > 1.96 or z < -1.96

Step-by-step explanation:

A) The normal distribution should be used for the sample mean because the population standard deviation is known. Usually, when the standard deviation is unknown we don't use normal distribution except there is an underlying normal approximation.

B) Null Hypothesis:H0: μ =520,

Alternative hypothesis H1: μ ≠ 520

At 5% level of significance, from standard tables, we will reject H0 if;

The test statistic; z > 1.96 or z < -1.96

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