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laiz [17]
2 years ago
15

Choose the function that represents the data in the table.

Mathematics
1 answer:
Usimov [2.4K]2 years ago
3 0

<u>Given</u>:

It is given that the function represents the data in the table.

We need to determine the function.

<u>Slope</u>:

The slope can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Let us substitute the coordinates (1,6.5) and (4,8) in the above formula, we get;

m=\frac{8-6.5}{4-1}

m=\frac{1.5}{3}

m=0.5

Thus, the slope is 0.5

<u>y - intercept:</u>

The y - intercept is the value of y when x = 0.

Thus, from the table, when x = 0 the corresponding y value is 6.

Therefore, the y - intercept is b=6

<u>Equation of the function:</u>

The equation of the function can be determined using the formula,

y=mx+b

Substituting the values m=0.5 and b=6, we get;

y=0.5x+6

Thus, the equation of the function is y=0.5x+6

Hence, Option C is the correct answer.

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Solve: | −2n | + 10 = −50<br><br><br> (Find Solution)
CaHeK987 [17]

Answer:

No Solution

Step-by-step explanation:

| −2n | + 10 = −50

Subtract 10 on both sides

|-2n|+10-10=-50-10

Simplify

|-2n=|=-60

No Solution

4 0
3 years ago
The ratio of the measures of the three angles in a tangle 3107. Find the measures of the angles and write them in size order,
N76 [4]

Answer:

27, 90 and 63

Step-by-step explanation:

Given

Ratio of triangle sides

Ratio = 3 : 10 : 7

Required:

The length of each side

Triangles in a triangle add up to 180.

The side with ratio 3 is:

S_1 = \frac{3}{3 + 10 + 7} *180

S_1 = \frac{3 *180}{20}

S_1 = \frac{540}{20}

S_1 = 27

The side with ratio 10 is:

S_2 = \frac{10}{3 + 10 + 7} *180

S_2 = \frac{10 *180}{20}

S_2 = \frac{1800}{20}

S_2 = 90

Lastly:

The side with 7 as its ratio

S_3 = \frac{7}{3 + 10 + 7} *180

S_3 = \frac{7 *180}{20}

S_3 = \frac{1260}{20}

S_3 = 63

Hence, the angles are: 27, 90 and 63

5 0
3 years ago
Evaluate the expressions 12(8-5)
saveliy_v [14]

Answer:

36

Step-by-step explanation:

First you would solve what's in the parenthesis because the Order of Pemdas.

Second you would multiply the answer of what's in the parenthesis which is 3 to 12.

Third you would get the answer which is 36!

8 0
3 years ago
Read 2 more answers
A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet
Thepotemich [5.8K]

Answer:

39 feet

Step-by-step explanation:

From the question;

let length of ladder =x feet

height of ladder will be=x-3 feet

ground distance of ladder bottom to building=15 feet

Applying Pythagorean relation

a²+b²=c²

where a=15 feet b=x-3 feet and c=x feet thus

x²-15²=(x-3)²

x²-225=x²-6x+9

collect like term

x²-x²-225-9=-6x

-234= -6x

x= 39 feet length of ladder

distance from ground to top of ladder= 39-3=36 feet

3 0
3 years ago
Two angle measures in a triangle is 81 and 62 what is the missing angle
tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

Let the missing angle be x then .,

81 + 62 + x = 180 (being sum of angles of triangle )

143 + x = 180

x = 180 - 143

x = 37

<em>Therefore the missing angle is 37</em>

6 0
3 years ago
Read 2 more answers
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