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tatiyna
3 years ago
8

-0.57 < -0.27k + 0.24 How do you do this one

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0

3 < k

Step-by-step explanation:

Simplify by undoing addition to both sides, then divide both sides by the coefficient of k.

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Form quadratic functions given the following information:
nignag [31]

Answer:

f(x)=-\frac{4}{7}(x-\sqrt{2}-3)(x+\sqrt{2}-3)

or

f(x)=-\frac{4}{7}(x^2-6x+7)

Step-by-step explanation:

we have

f(3+√2 )=f(3− √2 )=0

so

x1=3+√2 and x2=3−√2 are the roots or x-intercepts of the quadratic equation

The quadratic equation in factored form is equal to

f(x)=a(x-x1)(x-x2)

substitute

f(x)=a(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

Find the value of the coefficient a

Remember that

f(1)=−8

so

For x=-1 -----> f(x)=-8

substitute

-8=a(-1-(3+\sqrt{2}))(-1-(3-\sqrt{2}))

solve for a

-8=a(-4-\sqrt{2}))(-4+\sqrt{2}))

apply difference of squares

-8=a(14)

a=-\frac{4}{7}

therefore

f(x)=-\frac{4}{7}(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

f(x)=-\frac{4}{7}(x-\sqrt{2}-3)(x+\sqrt{2}-3)

simplify

Applying distributive property

f(x)=-\frac{4}{7}(x^2+\sqrt{2}x-3x-\sqrt{2}x-2+3\sqrt{2}-3x-3\sqrt{2}+9)

f(x)=-\frac{4}{7}(x^2-6x+7)

5 0
4 years ago
The large decorative storage unit needs to be updates, painted, and re-
Simora [160]

Answer:

idk

Step-by-step explanation:

<h2>idk                                             </h2>
3 0
3 years ago
Not sure if it is hyperbola or hyperbole.
Juliette [100K]

Answer:

obviously it's always gonna be hyperbola lol

7 0
3 years ago
Read 2 more answers
Given the functions f(x) = - 4x - 1 and g(x) = 2x + 4, which operation results in the smallest coefficient on the x term?
VikaD [51]
Perform the operation in the choices to determine the coefficients of the terms.

(Addition)            -4x - 1 + 2x + 4    = -2x + 3
(Subtraction)       -4x - 1 - (2x + 4)  = -6x - 5
(Multiplication)    (-4x - 1)(2x + 4)   = -8x² -18x -4

Thus, the answer is multiplication as it gives a numerical coefficient equal to -18. 
6 0
3 years ago
Convert 3/8 to a decimal and percent but pls explain how you guys get 375 pls ;-;
natali 33 [55]
You just divide 3 by 8. when 3 is inside the "house" and 8 is outside, 8 doesn't go into 3 so move on and 8 goes into 30 3 times. and so forth. 30-24=6 bring down the 0. 8 goes into 60 7 times. the decimal is 0.375. the percent is 37.5%.
7 0
3 years ago
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