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3 years ago

7

Which function has a range of {y|y ≤ 5}?

2 answers:

Sliva [168]3 years ago

4 0

Answer:

f(x)=-(x-4)^2+5

Step-by-step explanation:

Desmos graphing calculator is a very good help for these type of graphing calculations.

Radda [10]3 years ago

3 0

Range is ouput
testing limints
basically see the vertices
y=a(x-h)^2+k
(h,k) is vertex

also, when a is negative, graph opens down
when a is positive, graph opens up

y<u><</u>5
k musbe 5

eliminate last 2

since less than, must open down
negative a
second one

f(x)=-(x-4)^2+5 is ansre

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Translate the shape A three squares right and one square down.

Alexus [3.1K]

Answer:

see explanation

Step-by-step explanation:

a shift of 3 squares right means add 3 to the x- coordinate

a shift of 1 square down means subtract 1 from the y- coordinate

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1 year ago

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Step-by-step explanation:

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2 years ago

What is the probability that a coin will be flipped 4 times and the result will be HTHT?

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5 0

3 years ago

Read 2 more answers

Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 3 − 3i and 2, with 2 a

dolphi86 [110]

Answer:

The required polynomial is $P(x)=x^4-10x^3+46x^2-96x+72$ .

Step-by-step explanation:

If a polynomial has degree n and $c_1,c_2,...,c_n$ are zeroes of the polynomial, then the polynomial is defined as

$P(x)=a(x-c_1)(x-c_2)...(x-x_n)$

It is given that the polynomial R has degree 4 and zeros 3 − 3i and 2. The multiplicity of zero 2 is 2.

According to complex conjugate theorem, if a+ib is zero of a polynomial, then its conjugate a-ib is also a zero of that polynomial.

Since 3-3i is zero, therefore 3+3i is also a zero.

Total zeroes of the polynomial are 4, i.e., 3-3i, 3_3i, 2,2. Let a=1, So, the required polynomial is

$R(x)=(x-3+3i)(x-3-3i)(x-2)(x-2)$

$R(x)=((x-3)+3i)((x-3)-3i)(x-2)^2$

$R(x)=(x-3)^2-(3i)^2((x-3)-3i)(x-2)^2$ $[a^2-b^2=(a-b)(a+b)]$

$R(x)=(x^2-6x+9-9(i)^2((x-3)-3i)(x-2)^2$

$R(x)=(x^2-6x+18)(x^2-4x+4)$ $[i^2=-1]$

$R(x)=(x^2-6x+18)(x^2-4x+4)$

$R(x)=x^4-10x^3+46x^2-96x+72$

Therefore the required polynomial is $P(x)=x^4-10x^3+46x^2-96x+72$ .

3 0

2 years ago

I have to find slope-intercept equation

adoni [48]

Answer:

y = 4x - 9

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

the y-intercept is when the line crosses the y axis, and in this case we can see it at "-9"

The slope we can do rise over run "r/r" ot "y/x"

r/r = 4/1 = 4

The line is positive since its going up

y = 4x - 9

Hope this helped!

Have a supercalifragilisticexpialidocious day!

7 0

2 years ago