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3 years ago

Six time a number is greater than -60. What are the possible values for the number?

Mathematics

1 answer:

baherus [9]3 years ago

8 0

Answer:

Suppose that x is some number so 6 times a number is 6*x. 20 more than that number is 20 + x. If you put it together the inequality would be 6x > 20 + x. Subtracting x from both sides would result in 5x > 20. Dividing by 5 gives you x > 4 which is the final answer. So the possible values of that number is anything greater than 4.

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Show that the equation x3 + 4x = 1 has a solution between x = 0 and x = 1

nexus9112 [7]

Intermediate Value Theorem: Suppose that f(x) is an arbitrary, continuous function on an interval [a,b] . If there exists a value L between f(a) and f(b) , then there exists a corresponding value c∈(a,b) , such that f(c)=L

f(x)=x3+4x−1

f(0)=−1f(1)=4

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2 years ago

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tigry1 [53]

Answer:

Choice C. -17

Step-by-step explanation:

6 to 7 = -13

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3 0

3 years ago

Use the graph of the parabola to fill in the table

Furkat [3]

(a) The parabola opens downward.

(b) The axis of symmetry is at x = -2.

(d) The x-intercepts is (-2,0), and the y-intercept is at (0,-1).

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2 years ago

What is the value of q in the equation?<br> A) -10/7<br> B) 10/7<br> C)6<br> D) 10

cricket20 [7]

q=10

Remove the radical by raising each side to the index of the radical

Hope this helps!

6 0

3 years ago

Read 2 more answers

Answer question 8,9 and 10 with full details.

Lelechka [254]

Answer:

See Explanation

Step-by-step explanation:

8. (1)

Area of trapezoid = 1/2(sum of || sides) *perpendicular distance

36 =1/2(x+ y) * 6

36 = ((x + y)*3

36/3 = x + y

12 = x + y

x + y = 12.... (1)

8(2)

It is given that:

x = 2y....(2)

From equations (1) & (2)

2y + y = 12

3y = 12

y = 12/3

y = 4

From equation (2)

x = 2y = 2*4

x = 8

Area of square = 1 square m

Side of square = 1 m

Area of circle = 1 square m

$\pi {r}^{2} = 1 \\ {r}^{2} = \frac{1}{\pi} \\ r = \frac{1}{ \sqrt{\pi} } \\ c = 2\pi \: r \\ c = 2\pi \times \frac{1}{ \sqrt{\pi} } \\ c = 2 \sqrt{\pi} \\ c = 2 \sqrt{3.14} \\ c = 2 \times 1.77200451 \\ c = 3.54400902 \\ c = 3.544 \\ difference = 3.544 - 1 = 2.544 \\difference \approx \: 2.54$

4 0

3 years ago