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DerKrebs [107]
3 years ago
5

I need help with questions 6 and 7

Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0
12(+2) B. thats the answer
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A curve has equation y=x√x.find the equation of the tangent to the curve at the point(1, 5)
rewona [7]

Answer:

y - 5 = \frac{3}{2}(x - 1)

Step-by-step explanation:

Note that \frac{dy}{dx} = m_{tangent}

Differentiate using the power rule

\frac{d}{dx}(ax^{n}) = nax^{n-1}

Given

y = x\sqrt{x} = x. x^{\frac{1}{2} } = x^{\frac{3}{2} }, then

\frac{dy}{dx} = \frac{3}{2}x^{\frac{1}{2} }

When x = 1

\frac{dy}{dx} = \frac{3}{2} . 1 = \frac{3}{2}

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \frac{3}{2} and (a, b) = (1, 5), thus

y - 5 = \frac{3}{2}(x - 1) ← equation of tangent

3 0
3 years ago
Change this radical to an algebraic expression with fractional exponents √b
marusya05 [52]
The square root of any number is the same as that number to the 1/2 power

root(b)=b^(1/2)
3 0
4 years ago
Read 2 more answers
En una muestra de 50 restaurantes de comida rápida, la venta media fue de $3.000, y la desviación estándar, $200. El intervalo d
Step2247 [10]

Respuesta:

(2945.411; 3054.589)

Explicación paso a paso:

Dado ;

Tamaño de la muestra, n = 50

Media, xbar = 3000

Desviación estándar, s = 200

Nivel de confianza, Zcrítico al 95% = 1,96

El intervalo de confianza se define como:

Xbar ± margen de error

Margen de error = Zcrítico * s / sqrt (n)

Margen de error = 1,96 * 200 / sqrt (50)

Margen de error = 54.589

Límite inferior = (3000 - 54.589) = 2945.411

Límite superior = (3000 + 54.589) = 3054.589

(2945.411; 3054.589)

8 0
3 years ago
Research department 8 employees budget of $11,500
Romashka-Z-Leto [24]
The answer is going to be  77,98
4 0
4 years ago
A system of equations is shown below: n = 3m + 7 n − 2m = 1 What is the solution, in the form (m, n), to the system of equations
LiRa [457]
N=3 m+7
n-2 m=1     | -2 m      => n=1+2m

n=3 <span>m+7
</span><span>n=1+2 m
</span>
n=n

3m+7=1+2m       |-7 and -2m
m = -6

n=1+2m 
n=1+2*(-6)
n=-11

(-6,-11)
8 0
4 years ago
Read 2 more answers
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