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2 years ago

Answer the question from the picture below

Mathematics

2 answers:

labwork [276]2 years ago

4 0

We can see that the slope of this line is -2 and that there is no y intercept. The inequality for this line should be $y \geq -2$ . This is because the shaded side is on the right side of the line, indicating all numbers greater than or equal to the line that satisfy the inequality. If it were a dotted line then it would be $y > -2$ , but since it isn't, your answer is $y \geq -2$ . Hope this helps.

ludmilkaskok [199]2 years ago

3 0

That would be y ≥ -2x

Its ≥ ( greater than or equal to) because the line y = -2x is continuous.

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a rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 centimeters, what is the l

bogdanovich [222]

Answer:

The length of the rectangle is 9 cm

Step-by-step explanation:

Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = $\frac{1}{2} x$ cm a

Also, perimeter of rectangle is 24 cm.

Perimeter of rectangle is to add the lengths of all the four sides.

Perimeter of rectangle (P) is given by;

P=2(l+w)

Substituting the value of P = 24 cm , l = (x+3) cm and w = $\frac{1}{2} x$

then,

$24 = 2 (x+3+\frac{1}{2} x)$

Divide by 2 both sides of an equation;

$12 = x+3+\frac{1}{2}x$

Combine like terms;

$12 =\frac{3x}{2} +3$

Subtract 3 from both the sides we get;

$12-3 = \frac{3x}{2} +3-3$

Simplify:

$9 =\frac{3x}{2}$

Multiply both sides by $\frac{2}{3}$ we get

$x = 9 \times \frac{2}{3} = 3 \times 2 = 6$

Therefore, length of rectangle(l) = (x+3) = 6+3 = 9 cm

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2 years ago

A scientist has a sample of the radioactive isotope bismuth-212. The isotope decays exponentially as shown in the table. Time (s

luda_lava [24]

Answer:

f(x) = 30 • 0.989x

Step-by-step explanation:

Given the data :

10 26.8

20 23.9

30 21.3

40 19

50 16.9

60 15.1

Using technology, the exponential model equation obtained by plotting the data is :

y = 30.068(0.989)^x

Based on the general exponential formula :

y = ab^x

y = predicted value

Initial value, a = 30.068

Rate = b = 0.989

The most appropriate model equation from the options given is :

f(x) = 30 • 0.989^x

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2 years ago

What is the 15th term of the sequence 20, 16, 12, 8, 4, ...?

Leviafan [203]

Answer:

C -36

Step-by-step explanation:

8 0

2 years ago

what is the circumference of a circle if the radius of the circle is 2.2 in terms of pi? a) 1.1 pi b) 1.21 pi c) 2.2 pi d) 4.4 p

Darya [45]

Cicumference = Dπ or 2rπ

thus if r = 2.2
then C = 2 (2.2)π
= 4.4π

D is the answer

7 0

3 years ago

Determine the area of the figure

aliya0001 [1]

The area of the trapezoid is x+11 cm.

Given a trapezoid has one side of (x+6) cm, the other side is 5 cm, and the height is 2 cm.

A two-dimensional quadrilateral consisting of the sum of non-adjacent parallel sides and a suitable non-parallel side is denoted as a trapezoid.

Now we will use the formula to find the area of a trapezoid

Area = 1/2 × (base 1 + base 2) × height

Here base 1 = (x+6) cm, base 2 = 5cm and height = 2cm

Substituting the values into the formula, we get

Area = 1/2 × (x+6+5) × 2

Area = 1/2 × (x+11) × 2

Area = x+11

Thus, the area of the given figure when one side is x+6, the other side is 5 cm and the height is 2 cm is x+11 cm.

Learn more about the area of trapezium from here brainly.com/question/15815316

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1 year ago