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Dvinal [7]
3 years ago
8

If f(x)= x and g(x) = x - 4 which translation is applied to f(x) to get g(x)

Mathematics
1 answer:
Dafna1 [17]3 years ago
3 0
F(g(x)) = f(x-4) = (x-4)
g(f(x)) = g(x) = x-4
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Three friends owe $18 to another friend for gas. If they plan to split the cost evenly, which of the following expressions could
Delvig [45]
The first one.. 18/3 is the answer
5 0
3 years ago
Tommy is baking a cake. He knows that he needs 2/3 cups of flour to make 4 cakes. How many cups of flour will Tommy need to make
mash [69]
1. 1/3 cups..... ok vthen have a good day
4 0
2 years ago
How many complex zeros does the polynomial function have?<br> f(x)=−3x^6−2x^4+5x+6
REY [17]

one way would be to factor

I can't factor it so we will have to use Descartes' Rule of Signs which is helpful for finding how many real roots you have


it goes like this:

for a polynomial with real coefients, consider f(x)=-3x^6-2x^4+5x+6.

after arranging the terms in decending order in terms of degree, count how many times the signs of the coeffients change direction and minus 2 from that number until you get to 1 or 0. that will be the number of even roots the function can have

We have (-, -, +, +). the signs changed 1 times, so it has 1 real positive root


to get the negative roots, we evaluate f(-x) and see how many times the root changes

f(-x)=-3x^6-2x^4-5x+6

signs are (-, -, -, +). there was 1 change in sign

so the function has 1 real negative root



a total of 2 real roots


a function of degree n can have at most, n roots


our function is degree 6 so it has 6 roots

if 2 are real, then the others must be complex

6-2=4 so there are 4 complex roots


you can also show that there are only 2 real roots by using a graphing utility to see that there are only 2 real roots

7 0
2 years ago
El angulo de elevacion del sol es de 29°12'35''. Calcular la longitud de la sombra proyectada por un hombre de 1,75m de estatura
Bingel [31]

Respuesta:

3,59 metros

Explicación paso a paso:

Conversión del ángulo de elevación a grados;

29 ° 12 '35 "

= 29 ° + 12 '/ 60 + 35 "/ 3600

= 29,20972 °

Resolviendo el triángulo de solución adjunto:

La longitud de la sombra se puede obtener utilizando la relación trigonométrica;

Sin θ = opuesto / hipoteno

Sin 29.20972 = 1.75 / sombra

Sombra = 1.75 / Sin 29.20972

Longitud de la sombra = 3,59 m

3 0
2 years ago
How do you multiply these polynomials?<br><br> 3xy^2(2y+4z)
nikitadnepr [17]

Answer:

6xy^3 +12xy^2 z

Step-by-step explanation:

3xy^2 (2y+4z)

Multiply

3xy^2 * 2y + 3xy^2 *4z

common factors

3xy^3 +3xy^2 *4z

Multiply

6xy^3 +12xy^2 z

7 0
3 years ago
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