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zzz [600]
3 years ago
10

What is the domain of the function y=3^squarerootx-1

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0

Answer:

x belongs to R+

Step-by-step explanation:

Sqrt(x) has a domain of all positive real numbers greater than 0

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Write an equation in slope-intercept form for the following line:<br><br> (-14,1) and (13,-2)
alex41 [277]

Answer:

\large \boxed{y =  -  \frac{1}{9} x -  \frac{5}{9} }

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

\large \boxed{m =  \frac{y_2 - y_1}{x_2 - x_1} }

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

\large{m =  \frac{1 - ( - 2)}{ -14 - 13} } \\  \large{m =  \frac{1 + 2}{ - 27} } \\  \large{m =  \frac{3}{ - 27}  =  -  \frac{1}{9} }

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

\large \boxed{y = mx + b}

We already know m-value as we substitute it.

\large{y =  -  \frac{1}{9} x  + b}

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

\large{y = -  \frac{1}{9} x + b} \\  \large{ - 2 =  -  \frac{1}{9} (13) + b} \\  \large{ - 2 =  -  \frac{13}{9}  + b} \\  \large{ - 2 +  \frac{13}{9}  = b} \\  \large{ -  \frac{5}{9}  = b}

Finally, we know b-value. Then we substitute it in our equation.

\large{y =  -  \frac{1}{9} x + b} \\  \large{y =  -  \frac{1}{9} x -  \frac{5}{9} }

4 0
2 years ago
What is the sum of 1 - 0.5 + 899
I am Lyosha [343]

Answer:

899.5

Step-by-step explanation:

8 0
3 years ago
A triangle has an area of 230.86 square inches.the height of the triangle is 23.8 inches .what is the length of the base of the
Annette [7]

Answer:

The length of the base of the triangle is 19.4 inches.

7 0
2 years ago
Subtract. -8 - (- 2)
ddd [48]

Answer:

-6

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Al sumar un número entero con el doble de su sucesor, se obtiene un total de 44. ¿De qué número se está hablando?
Vlad [161]
Basado en lo que nos dieron en la pregunta podemos decir que:
1) x sea un numero entero 
2)x+1 sea el numero sucesor del anterior
3) los dos seran sumados y el total de la suma es 44
4) el numero sucesor es multiplicado por dos antes de ser sumado con el numero entero


Entonces tenemos:
x+2(x+1)=44 \\ x+2x+2=44 \\ 3x=42 \\ x=14

En este caso el numero del cual se esta hablando es 14 para comprobar

14+2(14+1)=44 \\ 14+2(15)=44 \\ 44=44
7 0
3 years ago
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