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3 years ago

The ordered pair (a,b) satisfies the inequality y < x + 6. which statement is true ?

Mathematics

1 answer:

natka813 [3]3 years ago

7 0

Answer:

True: If you add 6 to a, this will be greater than b.

Step-by-step explanation:

If the ordered pair (a,b) satisfies the inequality y < x + 6, then the coordinates of this point satisfy the inequality. Substitute into the inequality x = a and y =b:

$b$

Check all options:

A. Subtract 6 from b:

$b-6$

So, if you subtract 6 from b it will be less than a but never equal to a, so this option is false.

$bb\\ \\a>b-6$

So, a is greater than b - 6, not b. This option is false.

C. If you add 6 to a, then

$bb$

This option is true.

D. a+6 is greater than b, so it cannot be less than b. This option is false.

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If 0 lies in the quadrant IV. What can be the value of cos 0?

Andru [333]

Answer:

Positive one

Step-by-step explanation:

The angle 0 does not lie in any of the four quadrants, it lands directly in between quadrants I and IV. The value of cos 0 is always 1.

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3 years ago

The histogram to the right represents the weights (in pounds) of members of a certain high-school math team.

kupik [55]

Answer: There are total 20 team members.

Step-by-step explanation:

Ans: There are total 20 team members.

Concept: In the given picture a graph shows the relation between the number of people and their weight. The y-axis shows the number of team members and the x-axis shows the weight of those particular number of members. So, just notice the number of members corresponding to all the given weights and add them.

Solution step by step

Step 1: Members corresponding to 115kg

There are total 5 members having 115kg weight.

Step 2: Members corresponding to 135kg

There are total 3 members having 135kg weight.

Step 3: Members corresponding to 155kg

There are total 2 members having 155kg weight.

Step 4: Members corresponding to 175kg

There are total 0 members having 175kg weight.

Step 5: Members corresponding to 195kg

There are total 3 members having 195kg weight.

Step 6: Members corresponding to 215kg

There are total 4 members having 215kg weight.

Step 7: Members corresponding to 235kg

There are total 3 members having 235kg weight.

Step 8: Add the number of members

The total number of members are 5+3+2+0+3+4+3=20

So, the total number of members are 20.

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5 0

1 year ago

Use the graph to find the following.

Levart [38]

a) Local maximum values of g are: 0 and 3

b) The values at which g has local maximum are : -2 and 2

<h3>What is a maximum point?</h3>

A maximum point is the point at which the gradient of the curve changes from positive to negative.

Analysis:

The inverted v-curves all have maximum values and they are two.

The one at x = -2 and the one at x = 2 for in both cases their maximum values are y = 0 and y = 3 respectively.

Learn more about minimum and maximum points: brainly.com/question/14993153

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2 years ago

Express your answer in scientific notation.<br> 1.8x 10^-2 – 3.9 x 10^-3 =

DIA [1.3K]

Answer:

1.41 x 10^-2

Step-by-step explanation:

1.8 x 10^-2 - 3.9 x 10^-33 = 18 x 10^-3 - 3.9 x 10^-3

= (18-3.9) x 10^-3

= 14.1 x 10^-3

= 1.41 x 10^-2

Comment below if you have any questions! If you could mark this answer as the brainliest I would appreciate it!

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2 years ago

The value of polynomial 5x-4x^2+3, when x=-1<br>

Alchen [17]

Answer:

-6

Step-by-step explanation:

$\text{Given that,}\\\\5x-4x^2 +3 \\\\\text{When}~ x = -1,\\\\~~~5(-1) -4(-1)^2 +3 \\\\=-5-4(1)+3\\\\=-5-4+3\\\\=-5-1\\\\=-6$

8 0

2 years ago