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enyata [817]
2 years ago
5

Evaluate function for x=2 and x=7 when f(x)= -4x+61

Mathematics
2 answers:
loris [4]2 years ago
7 0

Step-by-step explanation:

when x=2 f(2)= -4(2)+61 = 53

when x=7 f(7)= -4(7)+61 = 33

777dan777 [17]2 years ago
5 0

f(x) = -4x +61\\\\f(2) = -4(2) +61 = 53 \\\\f(7) = -4(7) +61 =33

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A triangle on a coordinate plane is translated according to the rule 6, 4(x,y). Which is another way to write this rule?
Mashcka [7]

Answer:

C

Step-by-step explanation:

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3 years ago
You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
3 years ago
The ground temperature at an airport is 12 °C. The temperature decreases by 5.4 °C for every increase of 1 kilometer above the g
olga_2 [115]

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6 0
3 years ago
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Studentka2010 [4]

Answer:

Step-by-step explanation:

x1 = 0.5 x2 = -0.4 y1 = 1.3 y2 = -1.3

\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}

\sqrt{(-0.4 - 0.5)^{2}+(-1.3 - 1.3)^{2}

=2.75

6 0
3 years ago
2/3 / (-9/4)<br><br> 2/3 divided by (-9/4)
Bezzdna [24]

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\frac{2}{3}  \div ( -  \frac{9}{4} ) =  \\

\frac{2}{3}  \times( -   \frac{4}{9}) =  \\

-  \frac{2 \times 4}{3 \times 9}  =  -  \frac{8}{27}  =  -  ({ \frac{2}{3} })^{3}  \\

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

8 0
3 years ago
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