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Grace [21]
3 years ago
5

Which graph represents the solution set of the system of inequalities?

Mathematics
2 answers:
Gala2k [10]3 years ago
6 0

the solid line passes through (0,-3) and (0,9)

 dotted line passes through (0,-3) and (0,-1)

 see attached sketch

Paladinen [302]3 years ago
3 0

Answer:

The image shows the solution for the given inequalities.  

Step-by-step explanation:

We are given the following information in the question:

3y \geq x-9\\3x+y>-3

We have to plot the solution for the given inequality.

The image attached shows the solution to the given inequalities.

The red shaded portion is the solution to the first inequality and the blue shaded region is the solution for the second inequality.

The common shaded portion is the solution common to both the inequalities.

The dotted blue line is not a part of the solution for both the inequality.

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Given the parent function f(x) = 2^x, which graph shows f(x) + 1?
mixer [17]

Answer: First Option

a) exponential function going through point (0, 2) and ending up on the right

Step-by-step explanation:

Look at the attached image, the red line represents a function of the form:

f(x) = 2^x

Note that this function cuts to the axis and at the point (0, 1)

Also when x tends to ∞ f(x) tends to ∞ and when f(x) tends to -∞ then f(x) tends to zero.

If we perform the transformation y = f(x) +1 then the graph of y is equal to the graph of f(x) displaced 1 unit up. Then the new cutting point with the axis y will be: (0, 2) as shown in the attached image (blue line)

The transform function is y =2^x +1

Finally the answer is the first option

4 0
3 years ago
Which of the following equations is represented by the graph?
Greeley [361]

Answer:

••••••••••••••••••••The answer is Y=2/3x

6 0
2 years ago
Read 2 more answers
Suppose that y varies directly as the square of x, and that y=567 when x=9. What is y when x=4
Gwar [14]

Answer:

y  = 112

Step-by-step explanation:

If  y varies directly as the square of x

mathematically;

y ∝ x²

y = kx² where 'k' is the constant of proportionality

let u know the value of k for this equation by making k the subject of the formular from y = kx²

divide both sides by x²

k = y / x²

given that  y = 567 x = 9

k = 567/(9)²

k = 567/81

k = 7

now to get the value of  y when x = 4

from the equation conneting x, y,

y = kx²

y = 7 × (4)²

y = 7 × 16

y  = 112

6 0
2 years ago
A number is chosen at random from the first 20 integers. Find the probability that the number is a multiple of 3.
Fofino [41]

Answer:

3/10

Step-by-step explanation:

Multiples of 3: 3,6,9,12,15,18

There are 6 in the numbers 1-20

P(multiple of 3) = number of "multiples of 3" / total

                         = 6/20

                         =3/10

4 0
3 years ago
On a piece of paper, use a protractor and a ruler to construct triangle ABCABC with ABAB = 8 cm, m∠Am∠A = 90°90° , and m∠Bm∠B =
Lyrx [107]
<span>∠B = 45°
</span><span>∠A = 90°
so
</span>∠C = 45° = ∠B
and
<span>AB = AC = 8
answer
AC = 8 cm</span>
6 0
3 years ago
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