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3 years ago

What is the value of h(−2) when h(x)=3x+1?

Mathematics

2 answers:

Svetlanka [38]3 years ago

6 0

The answer is -5 hope it helps

natali 33 [55]3 years ago

4 0

Answer:

-5

Step-by-step explanation:

The answer is -5 because we have -2 as x. The function is h(x)=3x+1. 3 times -2=-6. When we add 1 to the result, we have -5 as the answer. Hope it helps!

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When a number is decreased by 7.3%, the result is 60. What is the original number to

marishachu [46]

Answer:

Original Number = let we assume it is x

Number after decremented = y = 60

Total decrease = z = x-y = x-60

% of decrease = ((x-60)/x)*100 = 7.3

(x-60)*100 = 7.3x

100x -6000 = 7.3x

100x-7.3x = 6000

92.7x = 6000

x = 6000/92.7 = 64.73

Original Number = 64.73

Step-by-step explanation:

4 0

3 years ago

The tangents to the curve with equation y = x^3-3x at the points A and B with x coordinates −1 and 4 respectively meet at the po

sladkih [1.3K]

Answer:

$\displaystyle C=\left(\frac{26}{9}, 2\right)$

Step-by-step explanation:

We need to find the equation of the tangent lines of Points A and B.

Differentiate the equation:

$\displaystyle \frac{dy}{dx}=3x^2-3$

Point A has an x-coordinate of -1. Hence, the slope of its tangent line is:

$\displaystyle \frac{dy}{dx}\Big|_{x=-1}=3(-1)^2-3=0$

Find the y-coordinate of Point A using the original equation:

$y(-1)=(-1)^3-3(-1)=2$

Hence, Point A is (-1, 2).

Thus, the tangent line at Point A is:

$y-2=0(x-(-1))$

Simplify:

$y=2$

Point B has an x-coordinate of 4. Hence, the slope of its tangent line is:

$\displaystyle \frac{dy}{dx}\Big|_{x=4}=3(4)^2-3=45$

Find the y-coordinate of Point B:

$y(4)=(4)^3-3(4)=52$

Thus, Point B is at (4, 52).

So, the tangent line at Point B is:

$y-52=45(x-4)$

Simplify:

$y=45x-128$

Point C occurs at the intersections of the tangent lines of Points A and B. Set the two equations equal to each other and solve for x:

$2=45x-128$

We acquire:

$\displaystyle x=\frac{26}{9}$

Since one of our equations is y = 2, the y-coordinate is 2.

Hence, Point C is:

$\displaystyle C=\left(\frac{26}{9}, 2\right)$

5 0

3 years ago

Read 2 more answers

A fair spinner has eight equal sections.

blagie [28]

Answer:

umm im not sure if its correct but do 2 ( the colors ) times how many times it is spun. so there are 6 .

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Help please I don't know what to do plz just send the answers because I'm tired and I cba to do calculations

Lyrx [107]

Answer is A
Just make sure you do know how to do them :)

4 0

3 years ago

Anyone know how to do this?

alexgriva [62]

Answer:

60.22in^2.

Step-by-step explanation:

First, find the area of the rectangle. 14.1x7=98.7.

Then, we need to find the area of the circle and subtract it from the area of the rectangle.

The area of the circle is pi*r^2. so, pi*3.5^2 is about 38.48. (The radius is half of the diameter, so the radius would be 3.5).

Since there are two halves of the circle, we can just subtract 38.48 from 98.7 so get the area of the shaded region. So, the area of the yellow area is 60.22in^2.

4 0

2 years ago

Read 2 more answers