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Stolb23 [73]
3 years ago
11

Can someone please help me???

Mathematics
1 answer:
Oksana_A [137]3 years ago
5 0

Answer:

B.)    2 / 15

Step-by-step explanation:

: )

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Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,
Tresset [83]

Answer:

\boxed{y=2x^2+4x-7}

Step-by-step explanation:

Let the quadratic function be

y=ax^2+bx+c


We substitute (-4,9) into the equation to obtain;


9=a(-4)^2+b(-4)+c


\Rightarrow 9=16a-4b+c---(1)


We substitute (0,-7) to obtain;


-7=a(0)^2+b(0)^2+c


\Rightarrow c=-7---(2)


We finally substitute (1,-1) to obtain;


-1=a(1)^2+b(1)^2+c


\Rightarrow -1=a+b+c---(3)


We put equation (2) into equation (1) to get;


9=16a-4b-7


16a-4b=16


\Rightarrow 4a-b=4---(4)


\Rightarrow -1=a+b-7


\Rightarrow a+b=6---(5)


We add equation (4) and (5) to get;

4a+a=6+4



\Rightarrow 5a=10



\Rightarrow a=2


We put a=2 into equation (5) to get;


2+b=6


\Rightarrow b=6-2


\Rightarrow b=4


The reqiured quadratic function is

y=2x^2+4x-7

7 0
2 years ago
Someone please help I’m having trouble
bezimeni [28]
It’s A). x=20 y=128.
do you need the work?
3 0
3 years ago
What is the solution set of the quadratic inequality f(x) greater than or equal to 0
stellarik [79]

ANSWER

{x | x \in \: R}

EXPLANATION

From the graph, the given quadratic inequality is

{(x + 3)}^{2}  \geqslant 0

We can see that the corresponding quadratic function is a perfect square.

Since the graph opens upwards and it is always above the x-axis, any real number you plug into the inequality, the result is greater than or equal to zero.

Hence the solution set is

{x | x \in \: R}

The correct answer is A

3 0
3 years ago
Your firm has a contract to make staff uniforms for a fast-food retailer. The heights of the staff are normally distributed with
FromTheMoon [43]

Answer:

a) 16%

b) 2.5%

Step-by-step explanation:

a)

The mean is 70 with standard deviation(SD) of 3 and you are asked to find out the percentage of staff that have <67(70-3 inch= mean - 1 SD) inch size, which means 1 SD below the mean (<-1 SD). Using 68-95-99.7 rule, you can know that 68% of the population is inside 1 SD range from the mean ( -1 SD to + 1 SD).

To put it on another perspective, there are 32% of the population that have < -1 SD and > +1 SD value. Assuming the distribution is symmetrical, then the value of < - 1 SD alone is 32%/2= 16%

b)

The question asks how many populations have size >76 inches, or mean + 2 SD (70+3*2 inch).

You can also solve this using 68-95-99.7 rule, but you take 95% value as the question asking for 2 SD instead.  Since 95% of population is inside 2 SD range from the mean ( -2 SD to + 2 SD), so there are 5% of population that have < -2 SD and > +2 SD value. Assuming the distribution is symmetrical, then the value of > +2 SD alone is 5%/2= 2.5%

3 0
3 years ago
What is the bigger number, a googol or a billion?
Doss [256]
A googol is bigger than a billion.
3 0
3 years ago
Read 2 more answers
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