All categories

3 years ago

If f(-7)=14 what order pair does this represent?

Mathematics

1 answer:

Anna71 [15]3 years ago

5 0

Answer:

f= -2

Step-by-step explanation:

idk if this was what you wanted tho

You might be interested in

A total amount of $30 was placed in 4 envelopes, a different amount in each one. Money from the largest share was taken to doubl

Triss [41]

It is about 7.5 divide 30 by 4

5 0

3 years ago

Write the equation for a 3rd degree polynomial function that has roots at x = 1–3i and x = 2. The y‑intercept is (0,10). Write a

HACTEHA [7]

Answer:

$\displaystyle P(x)=-\frac{1}{2}(x^2+2x+10)(x-2)$

Step-by-step explanation:

Factored Form Of Polynomials

If we know the roots of a polynomial as

$\alpha _1,\alpha _2,\alpha _3$

the polynomial can be expressed in factored form as

$a(x-\alpha _1)(x-\alpha _2)(x-\alpha _3)$

We are given two of the three roots of the polynomial:

$\alpha _1=1-3i$

$\alpha _2=2$

The other root must be the conjugate of the complex root:

$\alpha _3=1+3i$

Recall the product of two complex conjugate numbers is

$(1-3i)(1+3i)=1^2-(3i)^2=1+9=10$

The required polynomial is

$P(x)=a\left[ x-(1-3i)\right ]\left[ x-(1+3i)\right ](x-2)$

$P(x)=a(x^2+2x+10)(x-2)$

This is the factored form of the polynomial where only real numbers appear

We need to find the value of a, such as

$P(0)=10$

$P(0)=a(0^2+2(0)+10)(0-2)=10$

$-20a=10$

Thus the value of a is

$\displaystyle a=-\frac{1}{2}$

The expression of the required polynomial is

$\boxed{P(x)=-\frac{1}{2}(x^2+2x+10)(x-2)}$

5 0

3 years ago

Find an equation of the line that contains the point (4,-3) and is perpendicular to the line 2x-3y=4

IRINA_888 [86]

Answer:

Step-by-step explanation:

-3y = -2x + 4

3y = 2x - 4

y = 2/3x - 4/3

perp; -3/2

y + 3 = -3/2(x - 4)

y + 3 = -3/2x + 6

y = -3/2x + 3

7 0

2 years ago

Substituting y=-2 in the equation Solve the problem -2x+_____=-12

skelet666 [1.2K]

If b=-2 then -2x+-2 =-12 making x equal 5 ,5 times -2 equals -10 plus negative 2 equals -12

7 0

3 years ago

Read 2 more answers

Y SI +3 y>-23 - 2 Which graph represents the system of inequalities?

Debora [2.8K]

Answer:

???? I dont now I'm so sorry

3 0

3 years ago