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viktelen [127]
3 years ago
7

If f(x) = -x + 5 and g(x) = x^2, what is (g*f)(-1)

Mathematics
1 answer:
sasho [114]3 years ago
5 0

Answer:

6

Step-by-step explanation:

(g × f)(x) = g(x) × f(x) = x²(- x + 5)

To evaluate (g × f)(- 1) substitute x = - 1 into the product

x²(- x + 5)

= (- 1)²(- (- 1) + 5)

= 1(1 + 5)

= 1 × 6 = 6

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Suppose the hypotenuse of a right triangle is 24 cm and one of the legs is 11 cm. Use the Pythagorean Theorem to find the measur
uysha [10]

Answer:

The answer is number 4. 21.3 cm

Step-by-step explanation:

In the picture you can see the draw of the triangle and the formula of the Pythagorean Theorem.

We substitute the values in the Pythagorean Theorem

c² = a² + b²

We clear the equation for b

b² = c² - a²

b² = (24)² - (11)²

b² = 576 - 121

b² = 455

√b² = √455

b = 22.3 cm

4 0
3 years ago
I need help with this
olga55 [171]
3:5 -> 6:10, 9:15, 12:20
8:10-> 4:5,16:20, 24:30
6:8 -> 3:4, 12:16, 30:40
6:18 -> 3:9, 12:36, 30:90
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3 0
2 years ago
Can eat 10 cookies every 4 hours. How many hours would it take for her to eat 67 cookies?​
trapecia [35]

67 ÷ 10 x 4 = 26.8 hours for her to eat 67 cookies

6 0
3 years ago
Factor 15y2 + 10y − 40.
Vaselesa [24]

see how it do it in the picture and hope it helps you..

3 0
2 years ago
Joe will build a rectangular pen for his dog. A wall will form one side of the pen. Joe has 40 ft of fencing to form the other t
Svetlanka [38]
Material=wall+2*side and material is 40 ft so:

40=w+2s

w=40-2s

Area=ws, using w from above we get:

A=(40-2s)s

A=40s-2s^2

dA/ds=40-4s and d2A/ds2=-4

Since d2A/ds2 is a constant negative acceleration, when dA/ds=0, A(s) is at an absolute maximum.

dA/ds=0 when 4s=40, s=10 ft

And since w=40-2s, w=20 ft

So the dimensions of the pen are 20 ft by 10 ft, with the 20 ft side being opposite the wall.  And the maximum possible area is thus 200 ft^2
6 0
3 years ago
Read 2 more answers
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