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valentinak56 [21]
2 years ago
13

The graph below shows the solution to which system of inequalities?

Mathematics
1 answer:
Rus_ich [418]2 years ago
4 0

Inequalities help us to compare two unequal expressions. The inequalities that represent this graph are y<8/10x and y>-x. The correct option is C.

The complete question is:

The graph below shows the solution to which system of inequalities?

A.) y>x , y ≥ (8/10)x

B.) y>-x, y ≤ (8/10)x

C.) y>-x, y < (8/10)x

D.) y>x, y > (8/10)x

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

To find the inequality, we need to find the equation of the dashed line and then substitute the inequality as per the requirement. The dashed line is used instead of a solid line to show greater than or less than.

The inequality for the first graph can be written as,

y < \dfrac{8}{10}x

The inequality for the second graph will be,

y>-x

Hence, the inequalities that represent this graph are y<8/10x and y>-x. Thus, the correct option is C.

Learn more about Inequality:

brainly.com/question/19491153

#SPJ1

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borishaifa [10]

Answer:

plug in whatever you found for x and see if its equal on both sides.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
what is the value of k if 2x3 − 3x2 kx − 4 is divided by x − 3 and gives a remainder of −7? −10 −26 10 26
kozerog [31]
Hello,

..........|x^3......|x^2......|x^1......|x^0......
..........|2    .....|-3   ......|k    ......|-4 ......
x=3....|      .....|6    ......|9    ......|3k+27.
..........|2    .....|3    ......|k+9......|3k+23.

If remainder=-7 then -7=3k+23==>3k=-7-23==>3k=-30==>k=-10

Answer A




5 0
3 years ago
Find (f^-1)'(7) without finding the inverse function where f(x) = 5 – 2x^3.
faltersainse [42]

Step-by-step explanation:

the derivative of an inverse function is

1/f'(f^-1(x))

f'(x) = -6x²

f^-1(7) is solving the original function equation for x under the knowledge that y = 7

7 = 5 - 2x³

2 = -2x³

-1 = x³

=>

x = -1

f'(-1) = -6×(-1)² = -6×1 = -6

so,

(f^-1)'(7) = -1/6

5 0
3 years ago
For each correlation coefficient below, calculate what proportion of variance is shared by the two correlated variables:
Viefleur [7K]

Answer:

A. 0.0625

B. 0.1089

C. 0.81

D. 0.0196

Step-by-step explanation:

The proportion of variance is shared by the two correlated variables is given as the r².

Therefore,

For A. r = 0.25

Proportion of variance is shared by the two correlated variables = 0.25²

= 0.0625

For B. r = 0.33

Proportion of variance is shared by the two correlated variables = 0.33²

= 0.1089

For C. r = 0.90

Proportion of variance is shared by the two correlated variables = 0.90²

= 0.81

For D. r = 0.14

Proportion of variance is shared by the two correlated variables = 0.14²

= 0.0196

4 0
3 years ago
For the below expressions, write an equivalent expression that
boyakko [2]

Answer:

So this is pretty much endless but here are a few examples:

3+3+3+3

4x+(-7y) + (-46)

-3% + (-8y) + (-4) + (-0.1111)

Step-by-step explanation:

Hope this helps have a great rest of your day

3 0
2 years ago
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