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Evgesh-ka [11]
2 years ago
9

The table represents a linear function that shows the number of stamps y that a student collects after x months. Complete the ta

ble.

Mathematics
1 answer:
liberstina [14]2 years ago
6 0

Answer:

24

Step-by-step explanation:

a linear function has the form: y = ax + b

According to the table: b = 5 and a = (43 − 5)/(2 − 0) = 38/2 = 19

Then our function is of the form: y = 19x + 5

Now ,we replace x by 1 in the function to get the missing value :

Missing value = 19(1) + 5 = 19 + 5 = 24.

You might be interested in
Does the point (0,4) make either equations y=-2x and y=x+3 true? Explain.
Nikolay [14]

Answer:

Neither

Step-by-step explanation:

To verify, we substitute the values in the equations:

y = -2x\\y = -2 \times 0\\y = 0

however, the value should be 4. Hence this equation does not satisfy the co-ordinate.

y = x+3\\y= 0+3\\y = 3

however, the value should be 4. Hence this equation does not satisfy the co-ordinate.

5 0
3 years ago
The rule which allows us to change the sign of an exponent is called the ____ rule.
Bogdan [553]

Answer:

The rule which allows us to change the sign of an exponent is called the <u>negative exponent</u> rule.

Step-by-step explanation:

Consider the provided information.

The negative exponent rule is the rule which allows to change the sign of an exponent.

x^{-1}=\frac{1}{x}

According to negative exponent rule: A negative exponents in the numerator moved to the denominator and become positive exponents.

If A negative exponents in the denominator moved to the numerator and become positive exponents.

Hence, the required statement is: The rule which allows us to change the sign of an exponent is called the <u>negative exponent</u> rule.

6 0
3 years ago
Karen made 175 quarts of punch for her son and 11.3 quarts for
Alenkinab [10]

Answer:

186.3 quarts of punch

Step-by-step explanation:

175+11.3=186.3

it asks how much did she make in total so you would need to add the 2 together to get the total

6 0
3 years ago
The bearing of a lighthouse from a ship is N 37° E. The ship sails 2.5 miles further from the lighthouse. The new bearing is 25°
djverab [1.8K]

Answer:

The distance between the ship at N 25°E and the lighthouse would be 7.26 miles.

Step-by-step explanation:

The question is incomplete. The complete question should be

The bearing of a lighthouse from a ship is N 37° E. The ship sails 2.5 miles further towards the south. The new bearing is N 25°E. What is the distance between the lighthouse and the ship at the new location?

Given the initial bearing of a lighthouse from the ship is N 37° E. So, \angle ABN is 37°. We can see from the diagram that \angle ABC would be 180-37= 143°.

Also, the new bearing is N 25°E. So, \angle BCA would be 25°.

Now we can find \angle BAC. As the sum of the internal angle of a triangle is 180°.

\angle ABC+\angle BCA+\angle BAC=180\\143+25+\angle BAC=180\\\angle BAC=180-143-25\\\angle BAC=12

Also, it was given that ship sails 2.5 miles from N 37° E to N 25°E. We can see from the diagram that this distance would be our BC.

And let us assume the distance between the lighthouse and the ship at N 25°E is AC=x

We can apply the sine rule now.

\frac{x}{sin(143)}=\frac{2.5}{sin(12)}\\ \\x=\frac{2.5}{sin(12)}\times sin(143)\\\\x=\frac{2.5}{0.207}\times 0.601\\ \\x=7.26\ miles

So, the distance between the ship at N 25°E and the lighthouse is 7.26 miles.

3 0
3 years ago
for the following questions, determine how many solutions each equation has. if one solution, state the value of x. x+6+8=2x-x+1
vichka [17]

Answer:

infinite solutions

Step-by-step explanation:

x+6+8=2x-x+14

x+6+8=x+14

x+14=x+14

14=14

or

x=x

plug in any number

2+6+8=2(2)-2+14

16=16

another example

8+6+8=2(8)-8=14

22=22

5 0
3 years ago
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